TSTP Solution File: LCL745-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL745-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.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 07:57:26 EDT 2022
% Result : Timeout 300.03s 300.45s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL745-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Sun Jul 3 01:45:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.82/1.20 *** allocated 10000 integers for termspace/termends
% 0.82/1.20 *** allocated 10000 integers for clauses
% 0.82/1.20 *** allocated 10000 integers for justifications
% 0.82/1.20 *** allocated 15000 integers for termspace/termends
% 0.82/1.20 Bliksem 1.12
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 Automatic Strategy Selection
% 0.82/1.20
% 0.82/1.20 Clauses:
% 0.82/1.20 [
% 0.82/1.20 [ ~( 'class_Orderings_Owellorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.82/1.20 'c_lessequals'( X ), 'c_Orderings_Oord__class_OLeast'( Y, X ) ), Z ) ),
% 0.82/1.20 ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 0.82/1.20 [ ~( 'class_Orderings_Owellorder'( X ) ), ~( hBOOL( hAPP( Y, Z ) ) ),
% 0.82/1.20 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_Orderings_Oord__class_OLeast'( Y, X )
% 0.82/1.20 , X ) ) ],
% 0.82/1.20 [ ~( 'class_Orderings_Owellorder'( X ) ), hBOOL( hAPP( Y,
% 0.82/1.20 'c_Orderings_Oord__class_OLeast'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) )
% 0.82/1.20 ],
% 0.82/1.20 [ ~( 'class_Orderings_Owellorder'( X ) ), hBOOL( hAPP( Y,
% 0.82/1.20 'c_Orderings_Oord__class_OLeast'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) )
% 0.82/1.20 ],
% 0.82/1.20 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.82/1.20 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.82/1.20 ) ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 0.82/1.20 ],
% 0.82/1.20 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.82/1.20 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.82/1.20 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.82/1.20 ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.82/1.20 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.82/1.20 'c_Set_Oinsert'( Z, X, Y ), Y ) ) ],
% 0.82/1.20 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( X, Y, Z ), Z ), ~(
% 0.82/1.20 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.82/1.20 [ =( 'c_The'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y ),
% 0.82/1.20 X ), Y ) ],
% 0.82/1.20 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.82/1.20 'tc_bool' ) ), X ) ],
% 0.82/1.20 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( 'c_ListOrder_Ostep1'(
% 0.82/1.20 X, 'c_List_Oappend'( T, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( U )
% 0.82/1.20 , U ), U ), 'c_List_Oappend'( W, 'c_List_Olist_OCons'( Z,
% 0.82/1.20 'c_List_Olist_ONil'( U ), U ), U ), U ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.82/1.20 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 0.82/1.20 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.82/1.20 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.20 X ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.82/1.20 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.82/1.20 X ) ) ],
% 0.82/1.20 [ ~( 'class_HOL_Oord'( 't_a' ) ), =( 'c_Orderings_Oord__class_OLeast'(
% 0.82/1.20 'v_P', 't_a' ), 'c_The'( hAPP( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'(
% 0.82/1.20 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ), 'c_and' ), 'v_P' )
% 0.82/1.20 , 't_a', 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a',
% 0.82/1.20 'tc_bool' ), 'tc_bool', 't_a' ), 'c_All'( 't_a' ) ), hAPP( hAPP(
% 0.82/1.20 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ),
% 0.82/1.20 't_a' ), 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool'
% 0.82/1.20 , 'tc_bool' ), 't_a' ), 'c_implies' ), 'v_P' ), 't_a', 'tc_bool',
% 0.82/1.20 'tc_bool' ) ), 'c_lessequals'( 't_a' ) ) ) ), 't_a' ) ) ],
% 0.82/1.20 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 'c_List_Ofoldl'(
% 0.82/1.20 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 0.82/1.20 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3'( X ) )
% 0.82/1.20 , 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__4'( X )
% 0.82/1.20 , 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ), ~( hBOOL( hAPP( X,
% 0.82/1.20 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.82/1.20 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1'( X ) )
% 0.82/1.20 , 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2'( X )
% 0.82/1.20 , 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ) ],
% 0.82/1.20 [ ~( hBOOL( hAPP( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.82/1.20 'c_Lambda_OdB_OAbs'(
% 0.82/1.20 'c_ListApplication_Osko__ListApplication__Xlem__1__3'( X ) ),
% 0.82/1.20 'c_ListApplication_Osko__ListApplication__Xlem__1__4'( X ),
% 0.82/1.20 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ), ~( hBOOL( hAPP( X,
% 0.82/1.20 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.82/1.20 'c_ListApplication_Osko__ListApplication__Xlem__1__1'( X ) ),
% 0.82/1.20 'c_ListApplication_Osko__ListApplication__Xlem__1__2'( X ),
% 0.82/1.20 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ), hBOOL( hAPP( X, Y ) ) ],
% 0.82/1.20 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.82/1.20 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.82/1.20 'c_Orderings_Obot__class_Obot'( X ) ), Y ),
% 0.82/1.20 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.82/1.20 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.82/1.20 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.82/1.20 'c_Orderings_Obot__class_Obot'( X ) ), 'c_Orderings_Obot__class_Obot'( X
% 0.82/1.20 ) ) ],
% 0.82/1.20 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 0.82/1.20 X, T ), Y ) ) ) ],
% 0.82/1.20 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.82/1.20 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.82/1.20 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ),
% 0.82/1.20 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), hAPP( hAPP(
% 0.82/1.20 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.82/1.20 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP( hAPP(
% 0.82/1.20 'c_lessequals'( X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z
% 0.82/1.20 ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ), ~(
% 0.82/1.20 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.82/1.20 , T ) ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.82/1.20 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP( hAPP(
% 0.82/1.20 'c_lessequals'( X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z
% 0.82/1.20 ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~(
% 0.82/1.20 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.82/1.20 , Z ) ) ) ],
% 0.82/1.20 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.82/1.20 X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), 'c_Set_Oinsert'( Y, T, X
% 0.82/1.20 ) ), 'c_Set_Oinsert'( Y, hAPP( hAPP(
% 0.82/1.20 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.20 , Z ), T ), X ) ) ],
% 0.82/1.20 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.82/1.20 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.82/1.20 [ ~( 'class_Orderings_Obot'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.82/1.20 ), 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ) ],
% 0.82/1.20 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.82/1.20 , 'tc_Lambda_OdB' ), 'c_Lambda_Osubst'( X, Y, Z ) ), 'c_Lambda_Osubst'( X
% 0.82/1.20 , T, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', Y ), T ) ) ) ],
% 0.82/1.20 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.82/1.20 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), Y, X ), Y ) ],
% 0.82/1.20 [ =( X, 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.82/1.20 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.82/1.20 [ =( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ), X ) ],
% 0.82/1.20 [ =( 'c_Collect'( X, Y ), X ) ],
% 0.82/1.20 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__5'(
% 0.82/1.20 X ) ) ), =( X, 'c_Lambda_OdB_OAbs'( 'v_sko__InductTermi__XIT__Xcases__3'(
% 0.82/1.20 X ) ) ), hBOOL( 'c_List_Olistsp'( 'c_InductTermi_OIT',
% 0.82/1.20 'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB' ) ), ~( hBOOL(
% 0.82/1.20 hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( Y,
% 0.82/1.20 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( U,
% 0.82/1.20 'tc_bool' ) ), U, X ) ), 'c_Finite__Set_Osetsum'( Y, hAPP( hAPP(
% 0.82/1.20 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 0.82/1.20 , Z ), T ), U, X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.82/1.20 'c_Finite__Set_Osetsum'( Y, Z, U, X ) ), 'c_Finite__Set_Osetsum'( Y, T, U
% 0.82/1.20 , X ) ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ), ~(
% 0.82/1.20 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 0.82/1.20 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.82/1.20 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.82/1.20 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.82/1.20 'tc_bool' ) ), T ) ) ],
% 0.82/1.20 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.82/1.20 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.82/1.20 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.82/1.20 'tc_bool' ) ), Z ) ) ],
% 0.82/1.20 [ ~( =( 'c_List_Ofilter'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z ) ) )
% 0.82/1.20 , hBOOL( hAPP( X, T ) ) ],
% 0.82/1.20 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.82/1.20 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 0.82/1.20 , T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y
% 0.82/1.20 ), Z ), U ) ) ) ],
% 0.82/1.20 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), Z )
% 0.82/1.20 ) ],
% 0.82/1.20 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), Z )
% 0.82/1.20 ) ],
% 0.82/1.20 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( X, T, Z ) ) ),
% 0.82/1.20 =( Y, T ) ],
% 0.82/1.20 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, Y, Z ) ) ),
% 0.82/1.20 =( X, T ) ],
% 0.82/1.20 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 0.82/1.20 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.82/1.20 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.82/1.20 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.82/1.20 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.82/1.20 , Z ), T ), X ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 0.82/1.20 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 0.82/1.20 ],
% 0.82/1.20 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), 'c_ListOrder_Ostep1'( X,
% 0.82/1.20 'c_List_Olist_OCons'( Y, T, U ), 'c_List_Olist_OCons'( Z, T, U ), U ) ]
% 0.82/1.20 ,
% 0.82/1.20 [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U, 'c_List_Olist_OCons'(
% 0.82/1.20 Y, T, W ), 'c_List_Olist_OCons'( X, Z, W ), W ) ) ],
% 0.82/1.20 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_Osubst'( X, Y, Z ) ),
% 0.82/1.20 'c_Lambda_Osubst'( T, Y, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta'
% 0.82/1.20 , X ), T ) ) ) ],
% 0.82/1.20 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, 'c_Lambda_OdB_OAbs'( T ), U ),
% 0.82/1.20 hAPP( Z, T ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.82/1.20 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~(
% 0.82/1.20 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.82/1.20 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.82/1.20 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.82/1.20 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 0.82/1.20 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.82/1.20 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 0.82/1.20 'tc_nat' ) ],
% 0.82/1.20 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.82/1.20 , 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( X ) ), 'c_Lambda_OdB_OAbs'( Y )
% 0.82/1.20 ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.82/1.20 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), Y ) ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.82/1.20 X ), Y ), Z ) ), Z ), Y ) ],
% 0.82/1.20 [ 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( Y, Z, T ), 'c_List_Oappend'(
% 0.82/1.20 Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z, U, T ) ) ],
% 0.82/1.20 [ ~( 'c_ListOrder_Ostep1'( X, Y, Z, T ) ), 'c_ListOrder_Ostep1'( X,
% 0.82/1.20 'c_List_Oappend'( Y, U, T ), 'c_List_Oappend'( Z, U, T ), T ) ],
% 0.82/1.20 [ =( 'c_Lambda_Osubstn'( X, Y, Z ), 'c_Lambda_Osubst'( X,
% 0.82/1.20 'c_Lambda_Oliftn'( Z, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ) )
% 0.82/1.20 ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 0.82/1.20 hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.82/1.20 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 0.82/1.20 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL(
% 0.82/1.20 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.82/1.20 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.82/1.20 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 't_a', X )
% 0.82/1.20 ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( Y, 'v_x'
% 0.82/1.20 ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.82/1.20 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.82/1.20 X, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.82/1.20 'tc_fun'( X, 'tc_bool' ) ) ), T ),
% 0.82/1.20 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 0.82/1.20 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.20 , Y ), T ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.82/1.20 'tc_fun'( X, 'tc_bool' ) ), Z ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.82/1.20 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.82/1.20 X, 'tc_bool' ) ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T
% 0.82/1.20 , 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.82/1.20 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 0.82/1.20 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.82/1.20 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.82/1.20 'tc_fun'( X, 'tc_bool' ) ), Y ), T ), 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.82/1.20 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.82/1.20 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.82/1.20 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ),
% 0.82/1.20 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 0.82/1.20 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 0.82/1.20 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ), X ) ) ],
% 0.82/1.20 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.82/1.20 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.82/1.20 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), T ),
% 0.82/1.20 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 0.82/1.20 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ), hAPP( hAPP(
% 0.82/1.20 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ) ],
% 0.82/1.20 [ =( 'c_List_Ofilter'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ),
% 0.82/1.20 'c_List_Olist_OCons'( Y, 'c_List_Ofilter'( X, Z, T ), T ) ), ~( hBOOL(
% 0.82/1.20 hAPP( X, Y ) ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.82/1.20 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.82/1.20 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.82/1.20 ,
% 0.82/1.20 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( hBOOL(
% 0.82/1.20 hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.82/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.82/1.20 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.82/1.20 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), =( hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.82/1.20 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.82/1.20 ,
% 0.82/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 0.82/1.20 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.82/1.20 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ),
% 0.82/1.20 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 0.82/1.20 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.82/1.20 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), T ),
% 0.82/1.20 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.82/1.20 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.82/1.20 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ),
% 0.82/1.20 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.82/1.20 hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.82/1.20 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), T ),
% 0.82/1.20 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 0.82/1.20 hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP(
% 0.82/1.20 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.82/1.20 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL(
% 0.82/1.20 hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 0.82/1.20 ) ],
% 0.82/1.20 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 0.82/1.20 'tc_bool' ) ), X ) ],
% 0.82/1.20 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.82/1.20 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.82/1.20 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.82/1.20 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.82/1.20 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.82/1.20 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.82/1.20 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.82/1.20 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.82/1.20 [ hBOOL( hAPP( X, 'c_Hilbert__Choice_OEps'( X, Y ) ) ), ~( hBOOL( hAPP(
% 0.82/1.20 X, Z ) ) ), =( 'c_Hilbert__Choice_OEps'( X, Y ), Z ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.82/1.20 X ), Y ), Z ) ), T ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.82/1.20 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.82/1.20 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.82/1.20 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.82/1.20 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.82/1.20 X ), Y ), Z ) ), T ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.82/1.20 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.82/1.20 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.82/1.20 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.82/1.20 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.82/1.20 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.82/1.20 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.82/1.20 ), 'tc_nat' ) ) ],
% 0.82/1.20 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.82/1.20 ), 'tc_nat' ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 0.82/1.20 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.82/1.20 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.82/1.20 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 0.82/1.20 U ) ) ],
% 0.82/1.20 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.82/1.20 , X ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ],
% 0.82/1.20 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.82/1.20 'c_lessequals'( X ), Y ), Y ) ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y, X
% 0.82/1.20 ) ) ],
% 0.82/1.20 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.82/1.20 , X ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Y ) ) ],
% 0.82/1.20 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.82/1.20 , Z, X ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ]
% 0.82/1.20 ,
% 0.82/1.20 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.82/1.20 'c_lessequals'( X ), Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ]
% 0.82/1.20 ,
% 0.82/1.20 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.82/1.20 'c_lessequals'( X ), Y ), Z ) ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.82/1.20 ) ) ],
% 0.82/1.20 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.82/1.20 , X ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ],
% 0.82/1.20 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.82/1.20 'c_lessequals'( X ), Y ), Z ) ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.82/1.20 ) ) ],
% 0.82/1.20 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( 'c_Lambda_Osubst'(
% 0.82/1.20 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 0.82/1.20 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.82/1.20 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.82/1.20 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 0.82/1.20 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.82/1.20 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.82/1.20 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.82/1.20 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.82/1.20 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.82/1.20 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.82/1.20 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.82/1.20 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.82/1.20 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 0.82/1.20 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.82/1.20 [ =( 'c_List_Omap'( X, 'c_List_Olist_ONil'( Y ), Y, Z ),
% 0.82/1.20 'c_List_Olist_ONil'( Z ) ) ],
% 0.82/1.20 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.82/1.20 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.82/1.20 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.86/1.20 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( hBOOL(
% 0.86/1.20 hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.86/1.20 ) ],
% 0.86/1.20 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.86/1.20 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.86/1.20 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.86/1.20 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.86/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 0.86/1.20 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 0.86/1.20 'c_HOL_Ominus__class_Ominus'( X ), T ), T ) ) ), =( Y, Z ) ],
% 0.86/1.20 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 0.86/1.20 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), hAPP( hAPP(
% 0.86/1.20 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), =( Z, T ) ],
% 0.86/1.20 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Ofilter'( T, U, Z ) ) )
% 0.86/1.20 , hBOOL( hAPP( T, X ) ) ],
% 0.86/1.20 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_ListOrder_Ostep1'( X, T, U, W ),
% 0.86/1.20 ~( 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( T, 'c_List_Olist_OCons'( Y
% 0.86/1.20 , 'c_List_Olist_ONil'( W ), W ), W ), 'c_List_Oappend'( U,
% 0.86/1.20 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W ), W ), W ) ) ],
% 0.86/1.20 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.86/1.20 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.86/1.20 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.86/1.20 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.86/1.20 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.86/1.20 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.86/1.20 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.20 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.86/1.20 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.86/1.20 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.86/1.20 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.86/1.20 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.20 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.86/1.20 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.20 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.86/1.21 'c_HOL_Ominus__class_Ominus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.86/1.21 , Y ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.86/1.21 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.21 X ) ) ],
% 0.86/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.21 X ) ), =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ),
% 0.86/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.21 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.21 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.86/1.21 ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.86/1.21 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.21 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.86/1.21 ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.86/1.21 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, Z, T, X ) ) ), =( Z
% 0.86/1.21 , 'c_List_Olist_ONil'( T ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.86/1.21 , 'tc_Lambda_OdB' ), 'c_Lambda_Osubst'( X, Y, Z ) ), 'c_Lambda_Osubst'( T
% 0.86/1.21 , Y, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.86/1.21 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), T ) ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.86/1.21 , 'tc_Lambda_OdB' ), 'c_Lambda_Osubst'( X, Y, Z ) ), 'c_Lambda_Osubst'( X
% 0.86/1.21 , T, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.86/1.21 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y ), T ) ) ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.86/1.21 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.86/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.86/1.21 X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ), =( Z,
% 0.86/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.86/1.21 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.86/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.86/1.21 X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ), =( Y,
% 0.86/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.86/1.21 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.86/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.86/1.21 ) ) ],
% 0.86/1.21 [ =( 'c_The'( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.86/1.21 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ), X ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.86/1.21 , Z ), T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.86/1.21 ), ~( 'c_Finite__Set_Ofinite'( T, Y ) ), ~( 'c_Finite__Set_Ofinite'( Z,
% 0.86/1.21 Y ) ), =( 'c_Finite__Set_Osetsum'( U,
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( Y,
% 0.86/1.21 'tc_bool' ) ), Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.86/1.21 'c_Finite__Set_Osetsum'( U, Z, Y, X ) ), 'c_Finite__Set_Osetsum'( U, T, Y
% 0.86/1.21 , X ) ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.86/1.21 ), ~( hBOOL( hAPP( hAPP( X, Z ), T ) ) ) ],
% 0.86/1.21 [ ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_ONil'( Y ), Z, Y ) ) ],
% 0.86/1.21 [ ~( 'c_ListOrder_Ostep1'( X, Y, 'c_List_Olist_ONil'( Z ), Z ) ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.86/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.21 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.86/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.86/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.86/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.21 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.86/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.21 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.21 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.86/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.86/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldl'(
% 0.86/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Z, X, X
% 0.86/1.21 ) ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 0.86/1.21 'tc_bool' ) ), Y ) ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.86/1.21 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.86/1.21 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.86/1.21 [ =( 'c_Lambda_Osubstn'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.86/1.21 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'( Z, X,
% 0.86/1.21 'tc_nat' ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.86/1.21 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.86/1.21 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.86/1.21 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.86/1.21 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.21 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.21 , Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.86/1.21 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.86/1.21 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.86/1.21 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.21 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.21 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.21 , Y ), T ) ) ) ],
% 0.86/1.21 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Y
% 0.86/1.21 , 'c_List_Olist_ONil'( X ) ) ],
% 0.86/1.21 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Z
% 0.86/1.21 , 'c_List_Olist_ONil'( X ) ) ],
% 0.86/1.21 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 0.86/1.21 ) ],
% 0.86/1.21 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( X
% 0.86/1.21 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.86/1.21 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y
% 0.86/1.21 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.86/1.21 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( Y,
% 0.86/1.21 'tc_bool' ) ), Y ) ) ],
% 0.86/1.21 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( Y,
% 0.86/1.21 'tc_bool' ) ), Y ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.86/1.21 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.86/1.21 X, 'tc_bool' ) ), Y ) ],
% 0.86/1.21 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.86/1.21 'tc_bool' ) ), X ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.86/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.21 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.86/1.21 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.86/1.21 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.21 X ) ) ) ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.86/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.21 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~(
% 0.86/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.86/1.21 'c_Finite__Set_Osetsum'( Y, Z, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.86/1.21 , 'c_Finite__Set_Ofinite'( Z, T ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.86/1.21 'c_Finite__Set_Osetsum'( Y, Z, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.86/1.21 , 'c_Finite__Set_Ofinite'( Z, T ) ],
% 0.86/1.21 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.86/1.21 ) ), Y ) ) ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.86/1.21 'c_Finite__Set_Osetsum'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.86/1.21 'tc_bool' ) ), Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.86/1.21 X ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ) ), hAPP(
% 0.86/1.21 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ),
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ) ) ) ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.86/1.21 , X ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ), ~( hBOOL( hAPP(
% 0.86/1.21 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.86/1.21 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.86/1.21 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.86/1.21 , X ) ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.86/1.21 , Y, X ) ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.86/1.21 , Y, X ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), X ), Y ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.86/1.21 'c_Lambda_OdB_OAbs'( X ) ), Y ) ), 'c_Lambda_Osubst'( X, Y,
% 0.86/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.86/1.21 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_Olift', X ), Y ) ), hAPP( hAPP(
% 0.86/1.21 'c_Lambda_Olift', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 0.86/1.21 ), Z ) ) ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.86/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.86/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 0.86/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.86/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), =( Z, Y ), ~( 'c_ListOrder_Ostep1'(
% 0.86/1.21 X, 'c_List_Olist_OCons'( U, Y, T ), 'c_List_Olist_OCons'( W, Z, T ), T )
% 0.86/1.21 ) ],
% 0.86/1.21 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 0.86/1.21 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_OrderedGroup_Osemigroup__add'( X, U )
% 0.86/1.21 ) ],
% 0.86/1.21 [ =( 'c_List_Omap'( X, 'c_List_Oappend'( Y, Z, T ), T, U ),
% 0.86/1.21 'c_List_Oappend'( 'c_List_Omap'( X, Y, T, U ), 'c_List_Omap'( X, Z, T, U
% 0.86/1.21 ), U ) ) ],
% 0.86/1.21 [ ~( =( 'c_Collect'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.86/1.21 , 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.86/1.21 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.86/1.21 ), =( Z, Y ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.86/1.21 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.86/1.21 ) ],
% 0.86/1.21 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.86/1.21 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.86/1.21 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 0.86/1.21 'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 0.86/1.21 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.86/1.21 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.86/1.21 X ), Y ), Z ) ) ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.86/1.21 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.86/1.21 X ), Y ), Z ) ) ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.86/1.21 X ), Z ), Y ) ) ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.86/1.21 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.86/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.86/1.21 ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.86/1.21 hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ),
% 0.86/1.21 Z ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.86/1.21 hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 0.86/1.21 , Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.21 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.86/1.21 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.86/1.21 T, X ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), Y ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.86/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X ), ~(
% 0.86/1.21 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.86/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X ), ~(
% 0.86/1.21 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.86/1.21 X ), Y ), Z ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), Y ), Z ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X )
% 0.86/1.21 ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~( hBOOL(
% 0.86/1.21 hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ), hBOOL(
% 0.86/1.21 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~( hBOOL(
% 0.86/1.21 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.86/1.21 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 0.86/1.21 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 0.86/1.21 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.86/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 0.86/1.21 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.86/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.86/1.21 'c_Finite__Set_Osetsum'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.21 Z, T, 'tc_fun'( U, 'tc_bool' ) ), U, X ), hAPP( hAPP(
% 0.86/1.21 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.21 X ), 'c_Finite__Set_Osetsum'( Y, Z, U, X ) ), 'c_Finite__Set_Osetsum'( Y
% 0.86/1.21 , T, U, X ) ) ), 'c_Finite__Set_Osetsum'( Y, hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( U, 'tc_bool' ) )
% 0.86/1.21 , Z ), T ), U, X ) ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ), ~(
% 0.86/1.21 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 0.86/1.21 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.86/1.21 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.86/1.21 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.86/1.21 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.86/1.21 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.86/1.21 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.86/1.21 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.86/1.21 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.86/1.21 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.86/1.21 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.86/1.21 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.86/1.21 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.21 , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP(
% 0.86/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.86/1.21 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.21 , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP(
% 0.86/1.21 hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.21 ), T ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.21 , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP(
% 0.86/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.86/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), Z ), T ) ) ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.21 , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP(
% 0.86/1.21 hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T
% 0.86/1.21 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 0.86/1.21 hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.21 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) )
% 0.86/1.21 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 0.86/1.21 hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.21 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) )
% 0.86/1.21 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ) ],
% 0.86/1.21 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.86/1.21 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ), ~(
% 0.86/1.21 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ) ), hBOOL(
% 0.86/1.21 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z ), ~(
% 0.86/1.21 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.86/1.21 X ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ),
% 0.86/1.21 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.86/1.21 , Z, X ) ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z
% 0.86/1.21 , Y, X ) ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.86/1.21 X ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ),
% 0.86/1.21 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.86/1.21 X ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ),
% 0.86/1.21 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.86/1.21 X ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.86/1.21 X ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.86/1.21 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.21 , Z ), Y ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.86/1.21 X ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ), X ) ), hAPP(
% 0.86/1.21 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ) ) ) ],
% 0.86/1.21 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.86/1.21 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.86/1.21 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.86/1.21 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.21 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.21 'tc_fun'( X, 'tc_bool' ) ), Z ), T ), 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.86/1.21 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.86/1.21 'tc_bool' ) ), T ), Y ), 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.21 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X,
% 0.86/1.21 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.86/1.21 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X,
% 0.86/1.21 'tc_bool' ) ) ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y,
% 0.86/1.21 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.86/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.21 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.86/1.21 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.86/1.21 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.21 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 0.86/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 0.86/1.21 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.21 X ) ) ), =( Y, Z ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 0.86/1.21 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.21 X ) ) ), =( Y, Z ) ],
% 0.86/1.21 [ ~( hBOOL( hAPP( X, Y ) ) ), hBOOL( hAPP( X, 'c_Hilbert__Choice_OEps'(
% 0.86/1.21 X, Z ) ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( X, 'c_Hilbert__Choice_OEps'( X, Y ) ) ), ~( hBOOL( hAPP(
% 0.86/1.21 X, Z ) ) ) ],
% 0.86/1.21 [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 0.86/1.21 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.86/1.21 [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 0.86/1.21 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.86/1.21 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.86/1.21 hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 0.86/1.21 ), Z ) ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.86/1.21 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.86/1.21 hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X
% 0.86/1.21 ), Z ) ) ) ],
% 0.86/1.21 [ =( 'c_List_Ofilter'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.86/1.21 'c_List_Olist_ONil'( Y ) ) ],
% 0.86/1.21 [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ),
% 0.86/1.21 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ =( 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U
% 0.86/1.21 ), 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ) ) ],
% 0.86/1.21 [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ),
% 0.86/1.21 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.86/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.86/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 0.86/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.86/1.21 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.86/1.21 , Y ) ) ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.86/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.86/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~(
% 0.86/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.86/1.21 ) ) ],
% 0.86/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.21 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 0.86/1.21 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 0.86/1.21 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.86/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.86/1.21 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.86/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.86/1.21 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.86/1.21 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 0.86/1.21 [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.86/1.21 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.86/1.21 [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.86/1.21 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_HOL_Oinduct__forall'( X, Z ) ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.86/1.21 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.86/1.21 ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.86/1.21 ) ],
% 0.86/1.21 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.86/1.21 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.86/1.21 ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.86/1.21 ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.86/1.21 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, Y ), X ) ), ~( 'c_ListOrder_Ostep1'(
% 0.86/1.21 Z, 'c_List_Olist_OCons'( Y, T, U ), 'c_List_Olist_OCons'( X, W, U ), U )
% 0.86/1.21 ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.86/1.21 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z
% 0.86/1.21 ), T ) ) ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.86/1.21 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T
% 0.86/1.21 ), Z ) ) ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 0.86/1.21 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 0.86/1.21 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.86/1.21 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z
% 0.86/1.21 ), T ) ) ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.86/1.21 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T
% 0.86/1.21 ), Z ) ) ) ) ],
% 0.86/1.21 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Collect'( hAPP(
% 0.86/1.21 'c_COMBC'( 'c_fequal'( Z ), Z, Z, 'tc_bool' ), X ), Z ), Y, 'tc_fun'( Z,
% 0.86/1.21 'tc_bool' ) ) ) ],
% 0.86/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.86/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.21 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 0.86/1.21 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.86/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 0.86/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.86/1.21 , 'tc_Lambda_OdB' ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP(
% 0.86/1.21 hAPP( 'c_Lambda_OdB_OApp', Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), Y
% 0.86/1.21 ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'(
% 0.86/1.21 'c_Lambda_Obeta', 'tc_Lambda_OdB' ), X ), Z ) ) ) ],
% 0.86/1.21 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.86/1.21 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 0.86/1.21 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.86/1.21 [ =( 'c_Lambda_Oliftn'( X, 'c_Lambda_OdB_OVar'( Y ), Z ),
% 0.86/1.21 'c_Lambda_OdB_OVar'( Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat'
% 0.86/1.21 ) ) ],
% 0.86/1.21 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 0.86/1.21 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.86/1.21 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.86/1.21 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.86/1.21 'tc_bool' ) ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.86/1.21 [ 'c_Type_Otyping'( X, Y, Z ), ~( 'c_Type_Otyping'( X, T, Z ) ), ~(
% 0.86/1.21 hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.86/1.21 'tc_Lambda_OdB' ), T ), Y ) ) ) ],
% 0.86/1.21 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 0.86/1.21 Y, X ) ],
% 0.86/1.21 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 0.86/1.21 [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 0.86/1.21 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( 'c_Lambda_Osubstn'(
% 0.86/1.21 'c_Lambda_OdB_OVar'( X ), Y, X ), 'c_Lambda_Oliftn'( X, Y,
% 0.86/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.86/1.21 [ =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'(
% 0.86/1.21 'c_List_Olist_ONil'( Z ), 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ],
% 0.86/1.21 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, 'c_List_Olist_ONil'( Z
% 0.86/1.21 ), Z, X ) ) ],
% 0.86/1.21 [ =( X, Y ), 'c_ListOrder_Ostep1'( Z, X, Y, T ), ~( 'c_ListOrder_Ostep1'(
% 0.86/1.21 Z, 'c_List_Oappend'( X, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( T )
% 0.86/1.21 , T ), T ), 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( W,
% 0.86/1.21 'c_List_Olist_ONil'( T ), T ), T ), T ) ) ],
% 0.86/1.21 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( 'c_List_Olist_ONil'( X
% 0.86/1.21 ), 'c_List_Olist_ONil'( X ), X ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.86/1.21 , T ), X ), Y ) ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.86/1.21 , X ), T ), Y ) ) ) ],
% 0.86/1.21 [ =( 'c_Transitive__Closure_Ortranclp'(
% 0.86/1.21 'c_Transitive__Closure_Ortranclp'( X, Y ), Y ),
% 0.86/1.21 'c_Transitive__Closure_Ortranclp'( X, Y ) ) ],
% 0.86/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.86/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.86/1.21 Y ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.86/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.86/1.21 Y ) ],
% 0.86/1.21 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.21 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.86/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.86/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.86/1.21 Y ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.86/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.86/1.21 Y ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.86/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.86/1.21 Y ) ],
% 0.86/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.86/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.86/1.21 Y ) ],
% 0.86/1.21 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.86/1.21 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.86/1.21 Y ) ],
% 0.86/1.21 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OAbs'( X ) ),
% 0.86/1.21 'c_Lambda_OdB_OAbs'( Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X )
% 0.86/1.21 , Y ) ) ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.86/1.21 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.21 X ), Y ), Z ) ), Z ), Y ) ],
% 0.86/1.21 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_OrderedGroup_Omonoid__add'( Z,
% 0.86/1.21 X, T ) ) ],
% 0.86/1.21 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_OrderedGroup_Omonoid__add'( Y,
% 0.86/1.21 X, T ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.86/1.21 'c_HOL_Oord__class_Oless'( Y,
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.86/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.86/1.21 'c_HOL_Oord__class_Oless'( Y,
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.86/1.21 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.21 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.86/1.21 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.21 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.86/1.21 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), U ) ) ), ~(
% 0.86/1.21 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.86/1.21 [ =( 'c_List_Ofilter'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.86/1.21 'c_List_Oappend'( 'c_List_Ofilter'( X, Y, T ), 'c_List_Ofilter'( X, Z, T
% 0.86/1.21 ), T ) ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.86/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.86/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.86/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.86/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.86/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~(
% 0.86/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.21 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.86/1.21 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.21 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.86/1.21 [ =( 'c_Collect'( hAPP( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 0.86/1.21 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_and' ), hAPP( 'c_COMBC'(
% 0.86/1.21 'c_fequal'( X ), X, X, 'tc_bool' ), Y ) ), X, 'tc_bool', 'tc_bool' ), Z )
% 0.86/1.21 , X ), 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.86/1.21 'tc_bool' ) ), X ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__5'(
% 0.86/1.21 X ) ) ), =( X, 'c_Lambda_OdB_OAbs'( 'v_sko__InductTermi__XIT__Xcases__3'(
% 0.86/1.21 X ) ) ), =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.86/1.21 'v_sko__InductTermi__XIT__Xcases__2'( X ) ),
% 0.86/1.21 'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB',
% 0.86/1.21 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__5'(
% 0.86/1.21 X ) ) ), hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.86/1.21 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), hBOOL( 'c_List_Olistsp'(
% 0.86/1.21 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__1'( X ),
% 0.86/1.21 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.86/1.21 [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U, 'c_List_Oappend'( X
% 0.86/1.21 , 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W ), W ),
% 0.86/1.21 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( T, 'c_List_Olist_ONil'( W ), W
% 0.86/1.21 ), W ), W ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.86/1.21 X ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.86/1.21 Z ) ), Y ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.86/1.21 X ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.86/1.21 Z ) ), Z ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 0.86/1.21 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 0.86/1.21 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 0.86/1.21 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Z ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.86/1.21 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.86/1.21 [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, 'c_Lambda_OdB_OAbs'( T ), U ),
% 0.86/1.21 hAPP( hAPP( Z, T ), 'c_Lambda_OdB_OdB__rec'( X, Y, Z, T, U ) ) ) ],
% 0.86/1.21 [ =( 'c_Lambda_Oliftn'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ),
% 0.86/1.21 X ) ],
% 0.86/1.21 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.86/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ),
% 0.86/1.21 'c_OrderedGroup_Osemigroup__add'( 'c_HOL_Oplus__class_Oplus'( X ), X ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ =( 'c_Hilbert__Choice_OEps'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X,
% 0.86/1.21 'tc_bool' ), Y ), X ), Y ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), T, X ), hAPP(
% 0.86/1.21 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ) ),
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ), X ), hAPP(
% 0.86/1.21 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ),
% 0.86/1.21 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ) ) ) ],
% 0.86/1.21 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.86/1.21 , Z ), T ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.86/1.21 , 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( Y,
% 0.86/1.21 'tc_bool' ) ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, T,
% 0.86/1.21 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 0.86/1.21 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.21 , Y ), Z ), T, 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.21 , 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( X,
% 0.86/1.21 'tc_bool' ) ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T,
% 0.86/1.21 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.86/1.21 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.86/1.21 'c_Collect'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.86/1.21 [ =( 'c_Lambda_Osubstn'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.86/1.21 , 'c_Lambda_Osubst'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.21 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.86/1.21 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.86/1.21 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 0.86/1.21 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.86/1.21 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.21 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.21 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.86/1.21 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, Z ),
% 0.86/1.21 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat'
% 0.86/1.21 ) ) ],
% 0.86/1.21 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.86/1.21 'c_Lambda_OdB_OAbs'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( T, U ) ) )
% 0.86/1.21 ],
% 0.86/1.21 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.86/1.21 'c_Lambda_OdB_OAbs'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( T, U ) ) )
% 0.86/1.21 ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.86/1.21 hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.21 ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.86/1.21 hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~(
% 0.86/1.21 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP(
% 0.86/1.21 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.21 X ) ) ) ) ],
% 0.86/1.21 [ ~( =( 'c_List_Oappend'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.86/1.21 ) ) ],
% 0.86/1.21 [ ~( =( X, 'c_List_Oappend'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.86/1.21 ) ) ],
% 0.86/1.21 [ ~( =( 'c_List_Oappend'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil'( Z
% 0.86/1.21 ) ) ],
% 0.86/1.21 [ ~( =( X, 'c_List_Oappend'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.86/1.21 ) ) ],
% 0.86/1.21 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y
% 0.86/1.21 , Z, X ), X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Y ), Y ) ],
% 0.86/1.21 [ =( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'(
% 0.86/1.21 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.86/1.21 ), 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, X ) ), Z ) ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.86/1.21 ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ) ), Z ) ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z
% 0.86/1.21 , T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z
% 0.86/1.21 , T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.86/1.21 ), 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, X ) ), Z ) ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.86/1.21 ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ) ), Z ) ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.21 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.86/1.21 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.21 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.86/1.21 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ),
% 0.86/1.21 ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.21 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.21 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 0.86/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.21 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.21 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.86/1.21 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.21 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.86/1.21 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ),
% 0.86/1.21 ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.21 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.21 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 0.86/1.21 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 0.86/1.21 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( 't_a', X ) ), Y )
% 0.86/1.21 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.21 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.86/1.21 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 0.86/1.21 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Z ) ) ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.86/1.21 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~(
% 0.86/1.21 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.86/1.21 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), T ), Z ) ) ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 0.86/1.21 hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.21 X ), Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 0.86/1.21 hAPP( 'c_lessequals'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ),
% 0.86/1.21 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 0.86/1.21 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.86/1.21 ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 0.86/1.21 ],
% 0.86/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.86/1.21 X ), Y ), Y ) ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), Y ), Y ) ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.86/1.21 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.86/1.21 , X ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Z ) ) ), ~(
% 0.86/1.21 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.86/1.21 hAPP( 'c_lessequals'( X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 0.86/1.21 ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), U ), T ) ) )
% 0.86/1.21 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 0.86/1.21 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ) ],
% 0.86/1.21 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.86/1.21 ) ), =( X, T ) ],
% 0.86/1.21 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.86/1.21 ) ), =( Y, U ) ],
% 0.86/1.21 [ 'c_Type_Otyping'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', T
% 0.86/1.21 ), Y ) ) ), ~( 'c_Type_Otyping'( X, T, Z ) ) ],
% 0.86/1.21 [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), hBOOL( hAPP( hAPP( X, U ), W ) ),
% 0.86/1.21 ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( U, Y, T ),
% 0.86/1.21 'c_List_Olist_OCons'( W, Z, T ), T ) ) ],
% 0.86/1.21 [ 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 0.86/1.21 'c_List_Olist_OCons'( Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z, U, T
% 0.86/1.21 ) ) ],
% 0.86/1.21 [ =( 'c_Collect'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y
% 0.86/1.21 ), X ), 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 0.86/1.21 , 'tc_bool' ) ), X ) ) ],
% 0.86/1.21 [ =( 'c_Hilbert__Choice_OEps'( hAPP( 'c_fequal'( X ), Y ), X ), Y ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ =( 'c_The'( hAPP( 'c_fequal'( X ), Y ), X ), Y ) ],
% 0.86/1.21 [ =( 'c_List_Ofilter'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ),
% 0.86/1.21 'c_List_Ofilter'( X, Z, T ) ), hBOOL( hAPP( X, Y ) ) ],
% 0.86/1.21 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Omap'( Z, T, U, W ), V0, W ),
% 0.86/1.21 'c_List_Ofoldl'( hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( W, V0
% 0.86/1.21 ), 'tc_fun'( 'tc_fun'( U, W ), 'tc_fun'( U, V0 ) ), V0 ), 'c_COMBB'( W,
% 0.86/1.21 V0, U ) ), X ), V0, 'tc_fun'( U, W ), 'tc_fun'( U, V0 ) ), Z ), Y, T, V0
% 0.86/1.21 , U ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.86/1.21 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ),
% 0.86/1.21 ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.86/1.21 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 0.86/1.21 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), U ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.86/1.21 ), Z ), Y ) ) ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.86/1.21 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 0.86/1.21 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.86/1.21 ), U ), T ) ) ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.86/1.21 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 0.86/1.21 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ),
% 0.86/1.21 'c_HOL_Oord__class_Oless'( T, U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.86/1.21 , X ) ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.86/1.21 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 0.86/1.21 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ),
% 0.86/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U
% 0.86/1.21 , X ) ) ],
% 0.86/1.21 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_ONil'( T ) ) ), =( Y
% 0.86/1.21 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.86/1.21 [ =( 'c_Collect'( hAPP( 'c_fequal'( X ), Y ), X ), 'c_Set_Oinsert'( Y,
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ],
% 0.86/1.21 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.86/1.21 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.21 ) ],
% 0.86/1.21 [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.86/1.21 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 0.86/1.21 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( X, T
% 0.86/1.21 ) ],
% 0.86/1.21 [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.86/1.21 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 0.86/1.21 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( Y, U
% 0.86/1.21 ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.86/1.21 ), =( Z, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.86/1.21 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ), =( Z, Y ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.86/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.86/1.21 ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.86/1.21 ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.86/1.21 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ), =( Y, Z ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), Y ), Z ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.86/1.21 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.86/1.21 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_ONil'( X
% 0.86/1.21 ), X ), 'c_List_Olist_ONil'( X ) ) ],
% 0.86/1.21 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 0.86/1.21 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.86/1.21 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.86/1.21 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.86/1.21 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 0.86/1.21 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.86/1.21 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.86/1.21 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.86/1.21 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.86/1.21 ), ~( hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), U )
% 0.86/1.21 , T ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), U ) ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), T )
% 0.86/1.21 ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_Transitive__Closure_Ortranclp'( X, Y ), Z ), U ) ) ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.86/1.21 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.86/1.21 Z ), Y ) ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.86/1.21 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.86/1.21 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.86/1.21 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.86/1.21 'c_Finite__Set_Osetsum'( hAPP( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X,
% 0.86/1.21 'tc_fun'( X, X ), Y ), 'c_HOL_Ominus__class_Ominus'( X ) ), Z ), Y, X, X
% 0.86/1.21 ), T ), U, Y, X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ),
% 0.86/1.21 'c_Finite__Set_Osetsum'( Z, U, Y, X ) ), 'c_Finite__Set_Osetsum'( T, U, Y
% 0.86/1.21 , X ) ) ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.86/1.21 'c_Finite__Set_Osetsum'( hAPP( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X,
% 0.86/1.21 'tc_fun'( X, X ), Y ), 'c_HOL_Oplus__class_Oplus'( X ) ), Z ), Y, X, X )
% 0.86/1.21 , T ), U, Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.86/1.21 'c_Finite__Set_Osetsum'( Z, U, Y, X ) ), 'c_Finite__Set_Osetsum'( T, U, Y
% 0.86/1.21 , X ) ) ) ],
% 0.86/1.21 [ =( 'c_Lambda_Osubst'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z, T
% 0.86/1.21 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubst'( X, Z, T ) ),
% 0.86/1.21 'c_Lambda_Osubst'( Y, Z, T ) ) ) ],
% 0.86/1.21 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OAbs'(
% 0.86/1.21 Z ) ) ) ],
% 0.86/1.21 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.86/1.21 Z ) ) ) ],
% 0.86/1.21 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T, hAPP( hAPP(
% 0.86/1.21 'c_Lambda_OdB_OApp', U ), W ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP(
% 0.86/1.21 Z, U ), W ) ) ) ],
% 0.86/1.21 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T, hAPP( hAPP(
% 0.86/1.21 'c_Lambda_OdB_OApp', U ), W ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP(
% 0.86/1.21 Z, U ), W ) ) ) ],
% 0.86/1.21 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, hAPP( hAPP( 'c_Lambda_OdB_OApp'
% 0.86/1.21 , T ), U ), W ), hAPP( hAPP( Y, T ), U ) ) ],
% 0.86/1.21 [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.86/1.21 T ), U ), W ), hAPP( hAPP( hAPP( hAPP( Y, T ), U ),
% 0.86/1.21 'c_Lambda_OdB_OdB__rec'( X, Y, Z, T, W ) ), 'c_Lambda_OdB_OdB__rec'( X, Y
% 0.86/1.21 , Z, U, W ) ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.86/1.21 X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP(
% 0.86/1.21 hAPP( 'c_Lambda_Obeta', Y ), Z ) ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.86/1.21 X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP(
% 0.86/1.21 hAPP( 'c_Lambda_Obeta', X ), Z ) ) ) ],
% 0.86/1.21 [ =( 'c_Lambda_Oliftn'( X, hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ), Z ), T
% 0.86/1.21 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Oliftn'( X, Y, T ) ),
% 0.86/1.21 'c_Lambda_Oliftn'( X, Z, T ) ) ) ],
% 0.86/1.21 [ =( 'c_Lambda_Osubstn'( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z, T
% 0.86/1.21 ), hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubstn'( X, Z, T ) ),
% 0.86/1.21 'c_Lambda_Osubstn'( Y, Z, T ) ) ) ],
% 0.86/1.21 [ hBOOL( 'c_HOL_Oinduct__forall'( hAPP( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'(
% 0.86/1.21 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_HOL_Oinduct__conj' )
% 0.86/1.21 , Y ), X, 'tc_bool', 'tc_bool' ), Z ), X ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_HOL_Oinduct__conj', 'c_HOL_Oinduct__forall'( Y, X ) ),
% 0.86/1.21 'c_HOL_Oinduct__forall'( Z, X ) ) ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( hAPP( 'c_HOL_Oinduct__conj', 'c_HOL_Oinduct__forall'( X,
% 0.86/1.21 Y ) ), 'c_HOL_Oinduct__forall'( Z, Y ) ) ), ~( hBOOL(
% 0.86/1.21 'c_HOL_Oinduct__forall'( hAPP( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'(
% 0.86/1.21 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), Y ), 'c_HOL_Oinduct__conj' )
% 0.86/1.21 , X ), Y, 'tc_bool', 'tc_bool' ), Z ), Y ) ) ) ],
% 0.86/1.21 [ 'c_Finite__Set_Ofinite'( 'c_Collect'( hAPP( 'c_COMBS'( hAPP( hAPP(
% 0.86/1.21 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_or' ), Y
% 0.86/1.21 ), X, 'tc_bool', 'tc_bool' ), Z ), X ), X ), ~( 'c_Finite__Set_Ofinite'(
% 0.86/1.21 'c_Collect'( Z, X ), X ) ), ~( 'c_Finite__Set_Ofinite'( 'c_Collect'( Y, X
% 0.86/1.21 ), X ) ) ],
% 0.86/1.21 [ 'c_Finite__Set_Ofinite'( 'c_Collect'( X, Y ), Y ), ~(
% 0.86/1.21 'c_Finite__Set_Ofinite'( 'c_Collect'( hAPP( 'c_COMBS'( hAPP( hAPP(
% 0.86/1.21 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), Y ), 'c_or' ), Z
% 0.86/1.21 ), Y, 'tc_bool', 'tc_bool' ), X ), Y ), Y ) ) ],
% 0.86/1.21 [ 'c_Finite__Set_Ofinite'( 'c_Collect'( X, Y ), Y ), ~(
% 0.86/1.21 'c_Finite__Set_Ofinite'( 'c_Collect'( hAPP( 'c_COMBS'( hAPP( hAPP(
% 0.86/1.21 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), Y ), 'c_or' ), X
% 0.86/1.21 ), Y, 'tc_bool', 'tc_bool' ), Z ), Y ), Y ) ) ],
% 0.86/1.21 [ =( 'c_Collect'( hAPP( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 0.86/1.21 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_or' ), Y ), X, 'tc_bool',
% 0.86/1.21 'tc_bool' ), Z ), X ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.86/1.21 'c_Collect'( Y, X ), 'c_Collect'( Z, X ), 'tc_fun'( X, 'tc_bool' ) ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ =( 'c_Collect'( hAPP( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 0.86/1.21 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_and' ), hAPP( 'c_fequal'( X ),
% 0.86/1.21 Y ) ), X, 'tc_bool', 'tc_bool' ), Z ), X ), 'c_Set_Oinsert'( Y,
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ), ~(
% 0.86/1.21 hBOOL( hAPP( Z, Y ) ) ) ],
% 0.86/1.21 [ =( 'c_Collect'( hAPP( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 0.86/1.21 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_and' ), hAPP( 'c_COMBC'(
% 0.86/1.21 'c_fequal'( X ), X, X, 'tc_bool' ), Y ) ), X, 'tc_bool', 'tc_bool' ), Z )
% 0.86/1.21 , X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.86/1.21 hBOOL( hAPP( Z, Y ) ) ],
% 0.86/1.21 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_bool' ), 'c_and'
% 0.86/1.21 ) ],
% 0.86/1.21 [ hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta'
% 0.86/1.21 , 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 0.86/1.21 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 'c_List_Ofoldl'(
% 0.86/1.21 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~(
% 0.86/1.21 hBOOL( hAPP( hAPP( 'c_Transitive__Closure_Ortranclp'( 'c_Lambda_Obeta',
% 0.86/1.21 'tc_Lambda_OdB' ), X ), Z ) ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.86/1.21 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 0.86/1.21 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Z, 'tc_Lambda_OdB',
% 0.86/1.21 'tc_Lambda_OdB' ) ) ), ~( 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', Y, Z,
% 0.86/1.21 'tc_Lambda_OdB' ) ) ],
% 0.86/1.21 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.21 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'(
% 0.86/1.21 'tc_Lambda_OdB' ) ) ],
% 0.86/1.21 [ =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.21 'c_Lambda_OdB_OAbs'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.86/1.21 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.86/1.21 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.86/1.21 'c_Lambda_OdB_OApp', Z, T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X,
% 0.86/1.21 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z,
% 0.86/1.21 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1'( X
% 0.86/1.21 , Y, Z, T ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), =( T,
% 0.86/1.21 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.86/1.21 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.21 'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2'( X ),
% 0.86/1.21 'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1'( X ),
% 0.86/1.21 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.86/1.21 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.86/1.21 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( Y,
% 0.86/1.21 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.86/1.21 [ =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.86/1.21 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.86/1.21 ), 'c_Lambda_OdB_OAbs'( X ) ) ],
% 0.86/1.21 [ ~( 'class_HOL_Oord'( X ) ), =( 'c_Hilbert__Choice_OLeastM'( Y, Z, T, X
% 0.86/1.21 ), 'c_Hilbert__Choice_OEps'( hAPP( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'(
% 0.86/1.21 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), T ), 'c_and' ), Z ), T,
% 0.86/1.21 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ),
% 0.86/1.21 'tc_bool', T ), 'c_All'( T ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( T,
% 0.86/1.21 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ), T ), 'c_COMBS'( hAPP( hAPP(
% 0.86/1.21 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), T ), 'c_implies'
% 0.86/1.21 ), Z ), T, 'tc_bool', 'tc_bool' ) ), hAPP( 'c_COMBC'( hAPP( hAPP(
% 0.86/1.21 'c_COMBB'( 'tc_fun'( X, 'tc_bool' ), 'tc_fun'( 'tc_fun'( T, X ), 'tc_fun'(
% 0.86/1.21 T, 'tc_bool' ) ), T ), 'c_COMBB'( X, 'tc_bool', T ) ), hAPP( hAPP(
% 0.86/1.21 'c_COMBB'( X, 'tc_fun'( X, 'tc_bool' ), T ), 'c_lessequals'( X ) ), Y ) )
% 0.86/1.21 , T, 'tc_fun'( T, X ), 'tc_fun'( T, 'tc_bool' ) ), Y ) ) ) ), T ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ =( 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, U, U ), hAPP( hAPP(
% 0.86/1.21 X, Y ), 'c_List_Ofoldl'( X, Z, T, U, U ) ) ), ~(
% 0.86/1.21 'c_OrderedGroup_Osemigroup__add'( X, U ) ) ],
% 0.86/1.21 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T, Z ), Y ) ],
% 0.86/1.21 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.86/1.21 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.21 X ), Y ), Z ), T, X, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.86/1.21 ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Z, T, X, X ) ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ =( hAPP( hAPP( X, Y ), 'c_List_Ofoldl'( X, Z, T, U, U ) ),
% 0.86/1.21 'c_List_Ofoldl'( X, Y, T, U, U ) ), ~( 'c_OrderedGroup_Omonoid__add'( Z,
% 0.86/1.21 X, U ) ) ],
% 0.86/1.21 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U ), W, U ),
% 0.86/1.21 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U ) ) ],
% 0.86/1.21 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Oappend'( Z, T, U ), W, U ),
% 0.86/1.21 'c_List_Ofoldl'( X, 'c_List_Ofoldl'( X, Y, Z, W, U ), T, W, U ) ) ],
% 0.86/1.21 [ ~( 'class_HOL_Oord'( X ) ), =( 'c_Hilbert__Choice_OGreatestM'( Y, Z, T
% 0.86/1.21 , X ), 'c_Hilbert__Choice_OEps'( hAPP( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'(
% 0.86/1.21 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), T ), 'c_and' ), Z ), T,
% 0.86/1.21 'tc_bool', 'tc_bool' ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( T, 'tc_bool' ),
% 0.86/1.21 'tc_bool', T ), 'c_All'( T ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( T,
% 0.86/1.21 'tc_bool' ), 'tc_fun'( T, 'tc_bool' ), T ), 'c_COMBS'( hAPP( hAPP(
% 0.86/1.21 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), T ), 'c_implies'
% 0.86/1.21 ), Z ), T, 'tc_bool', 'tc_bool' ) ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'(
% 0.86/1.21 T, 'tc_bool' ), T ), 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X,
% 0.86/1.21 'tc_bool' ), T ), 'c_lessequals'( X ) ), Y ), T, X, 'tc_bool' ) ), Y ) )
% 0.86/1.21 ) ), T ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( X, 'c_ListApplication_Osko__ListApplication__Xlem__1__3'(
% 0.86/1.21 X ) ) ), ~( hBOOL( hAPP( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.21 'c_Lambda_OdB_OVar'(
% 0.86/1.21 'c_ListApplication_Osko__ListApplication__Xlem__1__1'( X ) ),
% 0.86/1.21 'c_ListApplication_Osko__ListApplication__Xlem__1__2'( X ),
% 0.86/1.21 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ), hBOOL( hAPP( X, Y ) ) ],
% 0.86/1.21 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xvar__app__typesE__1__1'(
% 0.86/1.21 Z, X, T, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.86/1.21 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), Y, 'tc_Lambda_OdB',
% 0.86/1.21 'tc_Lambda_OdB' ), Z ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 0.86/1.21 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3'( X ) )
% 0.86/1.21 ), ~( hBOOL( hAPP( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.21 'c_Lambda_OdB_OVar'(
% 0.86/1.21 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1'( X ) )
% 0.86/1.21 , 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2'( X )
% 0.86/1.21 , 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ) ],
% 0.86/1.21 [ 'c_Type_Otypings'( X, Y, 'c_Type_Osko__Type__Xvar__app__types__1__1'(
% 0.86/1.21 Z, T, X, Y ) ), ~( 'c_Type_Otyping'( X, 'c_List_Ofoldl'(
% 0.86/1.21 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W, 'tc_Lambda_OdB',
% 0.86/1.21 'tc_Lambda_OdB' ), T ) ), ~( 'c_Type_Otypings'( X, W, V0 ) ), ~(
% 0.86/1.21 'c_Type_Otyping'( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.21 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( U ), W,
% 0.86/1.21 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 0.86/1.21 , Z ) ) ],
% 0.86/1.21 [ 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', X,
% 0.86/1.21 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, X, Z ),
% 0.86/1.21 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta',
% 0.86/1.21 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ), X,
% 0.86/1.21 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ],
% 0.86/1.21 [ =( 'c_Orderings_Oord_OLeast'( X, 'v_P', 't_a' ), 'c_The'( hAPP(
% 0.86/1.21 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool',
% 0.86/1.21 'tc_bool' ), 't_a' ), 'c_and' ), 'v_P' ), 't_a', 'tc_bool', 'tc_bool' ),
% 0.86/1.21 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool', 't_a' ),
% 0.86/1.21 'c_All'( 't_a' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 't_a', 'tc_bool' ),
% 0.86/1.21 'tc_fun'( 't_a', 'tc_bool' ), 't_a' ), 'c_COMBS'( hAPP( hAPP( 'c_COMBB'(
% 0.86/1.21 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ), 'c_implies' ),
% 0.86/1.21 'v_P' ), 't_a', 'tc_bool', 'tc_bool' ) ), X ) ) ), 't_a' ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.86/1.21 , hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z,
% 0.86/1.21 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP(
% 0.86/1.21 'c_InductTermi_OIT', Y ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.86/1.21 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_Osubst'( X, Y,
% 0.86/1.21 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB',
% 0.86/1.21 'tc_Lambda_OdB' ) ) ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_sko__InductTermi__XIT__Xcases__5'(
% 0.86/1.21 X ) ) ), hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.86/1.21 'v_sko__InductTermi__XIT__Xcases__3'( X ) ) ), =( X, 'c_List_Ofoldl'(
% 0.86/1.21 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'(
% 0.86/1.21 'v_sko__InductTermi__XIT__Xcases__2'( X ) ),
% 0.86/1.21 'v_sko__InductTermi__XIT__Xcases__1'( X ), 'tc_Lambda_OdB',
% 0.86/1.21 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.86/1.21 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 0.86/1.21 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.86/1.21 'c_Lambda_OdB_OVar'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, U ) ) )
% 0.86/1.21 ],
% 0.86/1.21 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.86/1.21 'c_Lambda_OdB_OVar'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, U ) ) )
% 0.86/1.21 ],
% 0.86/1.21 [ =( 'c_Lambda_Osubst'( 'c_Lambda_OdB_OVar'( X ), Y, X ), Y ) ],
% 0.86/1.21 [ ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.86/1.21 ) ) ) ],
% 0.86/1.21 [ =( 'c_Lambda_OdB_OdB__rec'( X, Y, Z, 'c_Lambda_OdB_OVar'( T ), U ),
% 0.86/1.21 hAPP( X, T ) ) ],
% 0.86/1.21 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 0.86/1.21 [ =( hAPP( X, Y ), Z ), ~( 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y )
% 0.86/1.21 , Z ) ) ],
% 0.86/1.21 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, 'c_Lambda_OdB_OVar'( T ), U ),
% 0.86/1.21 hAPP( X, T ) ) ],
% 0.86/1.21 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), hAPP( X, Y ) ) ],
% 0.86/1.21 [ hBOOL( 'c_List_Olistsp'( X, 'c_List_Oappend'( Y, Z, T ), T ) ), ~(
% 0.86/1.21 hBOOL( 'c_List_Olistsp'( X, Z, T ) ) ), ~( hBOOL( 'c_List_Olistsp'( X, Y
% 0.86/1.21 , T ) ) ) ],
% 0.86/1.21 [ hBOOL( 'c_List_Olistsp'( X, Y, Z ) ), ~( hBOOL( hAPP( X,
% 0.86/1.21 'c_List_Osko__List__Xin__listsp__conv__set__1__1'( X, Y, Z ) ) ) ) ],
% 0.86/1.21 [ hBOOL( 'c_List_Olistsp'( hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.21 , Y ), Z ), T, X ) ), ~( hBOOL( 'c_List_Olistsp'( Z, T, X ) ) ), ~( hBOOL(
% 0.86/1.21 'c_List_Olistsp'( Y, T, X ) ) ) ],
% 0.86/1.21 [ hBOOL( 'c_List_Olistsp'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.86/1.21 [ hBOOL( 'c_List_Olistsp'( X, Y, Z ) ), ~( hBOOL( 'c_List_Olistsp'( X,
% 0.86/1.21 'c_List_Oappend'( T, Y, Z ), Z ) ) ) ],
% 0.86/1.21 [ hBOOL( 'c_List_Olistsp'( X, Y, Z ) ), ~( hBOOL( 'c_List_Olistsp'( X,
% 0.86/1.21 'c_List_Oappend'( Y, T, Z ), Z ) ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OAbs'( X ) ) ), ~(
% 0.86/1.21 hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.86/1.21 [ =( 'c_Lambda_Osubst'( hAPP( hAPP( 'c_Lambda_Olift', X ), Y ), Z, Y ),
% 0.86/1.21 X ) ],
% 0.86/1.21 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_Olift', X )
% 0.86/1.21 , Y ) ), hAPP( hAPP( 'c_Lambda_Olift', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_Lambda_Obeta', X ), Z ) ) ) ],
% 0.86/1.21 [ =( 'c_Collect'( hAPP( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 0.86/1.21 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_and' ), hAPP( 'c_fequal'( X ),
% 0.86/1.21 Y ) ), X, 'tc_bool', 'tc_bool' ), Z ), X ),
% 0.86/1.21 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.86/1.21 Z, Y ) ) ],
% 0.86/1.21 [ 'c_Finite__Set_Ofinite'( 'c_Collect'( hAPP( 'c_COMBS'( hAPP( hAPP(
% 0.86/1.21 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_and' ), Y
% 0.86/1.21 ), X, 'tc_bool', 'tc_bool' ), Z ), X ), X ), ~( 'c_Finite__Set_Ofinite'(
% 0.86/1.21 'c_Collect'( Z, X ), X ) ) ],
% 0.86/1.21 [ 'c_Finite__Set_Ofinite'( 'c_Collect'( hAPP( 'c_COMBS'( hAPP( hAPP(
% 0.86/1.21 'c_COMBB'( 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_and' ), Y
% 0.86/1.21 ), X, 'tc_bool', 'tc_bool' ), Z ), X ), X ), ~( 'c_Finite__Set_Ofinite'(
% 0.86/1.21 'c_Collect'( Y, X ), X ) ) ],
% 0.86/1.21 [ =( 'c_Collect'( hAPP( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 0.86/1.21 'tc_fun'( 'tc_bool', 'tc_bool' ), X ), 'c_and' ), Y ), X, 'tc_bool',
% 0.86/1.21 'tc_bool' ), Z ), X ), hAPP( hAPP(
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf'( 'tc_fun'( X, 'tc_bool' ) )
% 0.86/1.21 , 'c_Collect'( Y, X ) ), 'c_Collect'( Z, X ) ) ) ],
% 0.86/1.21 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ),
% 0.86/1.21 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, Z, X ),
% 0.86/1.21 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( hAPP(
% 0.86/1.21 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.21 'c_Lambda_OdB_OVar'( Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ) )
% 0.86/1.21 ) ],
% 0.86/1.21 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.86/1.21 , X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), 'c_List_Ofoldl'(
% 0.86/1.21 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_Olift', X ), Z ),
% 0.86/1.21 'c_List_Omap'( hAPP( 'c_COMBC'( 'c_Lambda_Olift', 'tc_Lambda_OdB',
% 0.86/1.21 'tc_nat', 'tc_Lambda_OdB' ), Z ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 0.86/1.21 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.86/1.21 [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.86/1.21 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 0.86/1.21 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.86/1.21 ) ) ],
% 0.86/1.21 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.86/1.21 'c_Lambda_OdB_OApp', Z, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.86/1.21 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( hAPP( hAPP(
% 0.86/1.21 'c_Lambda_OdB_OApp', X ), Y ), Z ) ],
% 0.86/1.21 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.86/1.21 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( X,
% 0.86/1.21 'c_Lambda_OdB_OAbs'( Z ) ) ],
% 0.86/1.21 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.86/1.21 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.86/1.21 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.86/1.21 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.86/1.21 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.86/1.21 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.86/1.21 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.86/1.21 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.86/1.21 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.86/1.21 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 0.86/1.21 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB',
% 0.86/1.21 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), Z ) )
% 0.86/1.21 ) ],
% 0.86/1.21 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.21 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OAbs'( X )
% 0.86/1.21 , Y ) ],
% 0.86/1.21 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_Lambda_OdB_OVar'( X ) ), Y ),
% 0.86/1.21 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 0.86/1.21 ) ) ],
% 0.86/1.21 [ =( 'c_List_Ofilter'( X, 'c_List_Ofilter'( Y, Z, T ), T ),
% 0.86/1.21 'c_List_Ofilter'( hAPP( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( 'tc_bool',
% 0.86/1.21 'tc_fun'( 'tc_bool', 'tc_bool' ), T ), 'c_and' ), Y ), T, 'tc_bool',
% 0.86/1.21 'tc_bool' ), X ), Z, T ) ) ],
% 0.86/1.21 [ =( X, Y ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.86/1.21 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.86/1.21 'tc_Lambda_OdB' ), Y ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.86/1.21 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.86/1.21 'tc_Lambda_OdB' ), X ) ) ],
% 0.86/1.21 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.86/1.21 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.86/1.21 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.86/1.21 'tc_Lambda_OdB' ) ) ) ],
% 0.86/1.21 [ =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.21 'c_Lambda_OdB_OVar'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.86/1.21 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.86/1.21 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.21 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'(
% 0.86/1.21 'tc_Lambda_OdB' ) ) ],
% 0.86/1.21 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y )
% 0.86/1.21 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 0.86/1.21 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ],
% 0.86/1.21 [ ~( =( hAPP( X, hAPP( Y, 'c_List_Osko__List__Xfoldl__apply__inv__1__1'(
% 0.86/1.21 X, Y, Z, T ) ) ), 'c_List_Osko__List__Xfoldl__apply__inv__1__1'( X, Y, Z
% 0.86/1.21 , T ) ) ), =( 'c_List_Ofoldl'( U, hAPP( X, W ), V0, T, V1 ), hAPP( X,
% 0.86/1.21 'c_List_Ofoldl'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( V1, T ), 'tc_fun'( V1,
% 0.86/1.21 Z ), Z ), hAPP( 'c_COMBB'( T, Z, V1 ), Y ) ), hAPP( hAPP( 'c_COMBB'( T,
% 0.86/1.21 'tc_fun'( V1, T ), Z ), U ), X ) ), W, V0, Z, V1 ) ) ) ],
% 0.86/1.21 [ =( 'c_List_Olistsp'( hAPP( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( 'tc_bool'
% 0.86/1.21 , 'tc_fun'( 'tc_bool', 'tc_bool' ), 't_a' ), 'c_and' ), X ), 't_a',
% 0.86/1.21 'tc_bool', 'tc_bool' ), Y ), 'v_x', 't_a' ), hAPP( hAPP( 'c_and',
% 0.86/1.21 'c_List_Olistsp'( X, 'v_x', 't_a' ) ), 'c_List_Olistsp'( Y, 'v_x', 't_a'
% 0.86/1.21 ) ) ) ],
% 0.86/1.21 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 0.86/1.21 ) ],
% 0.86/1.21 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.86/1.21 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.86/1.21 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.86/1.21 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.86/1.21 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.86/1.21 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.86/1.21 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.86/1.21 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.86/1.21 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.86/1.21 , 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ),
% 0.86/1.21 ~( hBOOL( 'c_List_Olistsp'( 'c_InductTermi_OIT', Y, 'tc_Lambda_OdB' ) ) )
% 0.86/1.21 ],
% 0.86/1.21 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.86/1.21 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( X, Z ) ],
% 0.86/1.21 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.86/1.21 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( Y, T ) ],
% 0.86/1.21 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.86/1.21 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OVar'( X )
% 0.86/1.21 , Y ) ],
% 0.86/1.21 [ ~( =( 'c_Lambda_OdB_OVar'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.86/1.21 Z ) ) ) ],
% 0.86/1.21 [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.86/1.21 , Y ) ), Z ), hAPP( hAPP( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.86/1.21 'c_Lambda_Olift', X ), Z ) ), hAPP( hAPP( 'c_Lambda_Olift', Y ), Z ) ) )
% 0.86/1.21 ],
% 0.86/1.21 [ =( hAPP( hAPP( hAPP( 'c_COMBB'( X, Y, Z ), T ), U ), W ), hAPP( T,
% 0.86/1.21 hAPP( U, W ) ) ) ],
% 0.86/1.21 [ =( hAPP( hAPP( 'c_COMBS'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 0.86/1.21 hAPP( U, W ) ) ) ],
% 0.86/1.21 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.86/1.21 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y,
% 0.86/1.21 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.86/1.21 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OVar'(
% 0.86/1.21 Z ) ) ) ],
% 0.86/1.21 [ hBOOL( 'c_List_Olistsp'( hAPP( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'(
% 0.86/1.21 'tc_bool', 'tc_fun'( 'tc_bool', 'tc_bool' ), 'tc_Lambda_OdB' ), 'c_and' )
% 0.86/1.21 , 'c_InductTermi_OIT' ), 'tc_Lambda_OdB', 'tc_bool', 'tc_bool' ), hAPP(
% 0.86/1.21 hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_bool',
% 0.86/1.21 'tc_Lambda_OdB' ), 'c_All'( 'tc_nat' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_fun'(
% 0.86/1.21 'tc_nat', 'tc_Lambda_OdB' ), 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 0.86/1.21 'tc_Lambda_OdB' ), hAPP( 'c_COMBB'( 'tc_Lambda_OdB', 'tc_bool', 'tc_nat'
% 0.86/1.21 ), 'c_InductTermi_OIT' ) ), 'c_Lambda_Olift' ) ) ), 'v_rs',
% 0.86/1.21 'tc_Lambda_OdB' ) ) ],
% 0.86/1.21 [ ~( hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_Olift',
% 0.86/1.21 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( 'v_n' ),
% 0.86/1.21 'v_rs', 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), 'v_ia' ) ) ) ) ],
% 0.86/1.21 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.86/1.21 'class_Lattices_Olattice'( Y ) ) ],
% 0.86/1.21 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.86/1.21 'class_Lattices_Olattice'( Y ) ) ],
% 0.86/1.21 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.86/1.21 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.86/1.21 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.86/1.21 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.86/1.21 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 0.86/1.21 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 0.86/1.21 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.86/1.21 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.86/1.21 'class_Orderings_Opreorder'( Y ) ) ],
% 0.86/1.21 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.86/1.21 'class_Lattices_Olattice'( Y ) ) ],
% 0.86/1.21 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.86/1.21 'class_Orderings_Oorder'( Y ) ) ],
% 0.86/1.21 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.86/1.21 Y ) ) ],
% 0.86/1.21 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.86/1.21 ,
% 0.86/1.21 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.86/1.21 ],
% 0.86/1.21 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.86/1.21 ) ],
% 0.86/1.21 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.86/1.21 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.86/1.21 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.86/1.21 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.86/1.21 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.86/1.21 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.86/1.21 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.86/1.21 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.86/1.21 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
% 0.86/1.21 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 0.86/1.21 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 0.86/1.21 [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 0.86/1.21 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.86/1.21 [ 'class_Orderings_Owellorder'( 'tc_nat' ) ],
% 0.86/1.21 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.86/1.21 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.86/1.21 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 0.86/1.21 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.86/1.21 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 0.86/1.21 [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 0.86/1.21 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.86/1.21 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.86/1.21 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.86/1.21 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.86/1.21 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 0.86/1.21 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.86/1.21 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.86/1.21 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.86/1.21 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.86/1.21 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.86/1.21 [ =( hAPP( hAPP( 'c_COMBS'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 0.86/1.21 hAPP( U, W ) ) ) ],
% 0.86/1.21 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 0.86/1.21 U ) ) ],
% 0.86/1.21 [ =( hAPP( hAPP( hAPP( 'c_COMBB'( X, Y, Z ), T ), U ), W ), hAPP( T,
% 0.86/1.21 hAPP( U, W ) ) ) ],
% 0.86/1.21 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 0.86/1.21 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 0.86/1.21 ] .
% 0.86/1.21
% 0.86/1.21
% 0.86/1.21 percentage equality = 0.323049, percentage horn = 0.922027
% 0.86/1.21 This is a problem with some equality
% 0.86/1.21
% 0.86/1.21
% 0.86/1.21
% 0.86/1.21 Options Used:
% 0.86/1.21
% 0.86/1.21 useres = 1
% 0.86/1.21 useparamod = 1
% 0.86/1.21 useeqrefl = 1
% 0.86/1.21 useeqfact = 1
% 0.86/1.21 usefactor = 1
% 0.86/1.21 usesimpsplitting = 0
% 0.86/1.21 usesimpdemod = 5
% 0.86/1.21 usesimpres = 3
% 0.86/1.21
% 0.86/1.21 resimpinuse = 1000
% 0.86/1.21 resimpclauses = 20000
% 0.86/1.21 substype = eqrewr
% 0.86/1.21 backwardsubs = 1
% 0.86/1.21 selectoldest = 5
% 0.86/1.21
% 0.86/1.21 litorderings [0] = split
% 0.86/1.21 litorderings [1] = extend the termordering, first sorting on arguments
% 0.86/1.21
% 0.86/1.21 termordering = kbo
% 0.86/1.21
% 0.86/1.21 litapriori = 0
% 0.86/1.21 termapriori = 1
% 0.86/1.21 litaposteriori = 0
% 0.86/1.21 termaposteriori = 0
% 0.86/1.21 demodaposteriori = 0
% 0.86/1.21 ordereqreflfact = 0
% 0.86/1.21
% 0.86/1.21 litselect = negord
% 0.86/1.21
% 0.86/1.21 maxweight = 15
% 0.86/1.21 maxdepth = 30000
% 0.86/1.21 maxlength = 115
% 0.86/1.21 maxnrvars = 195
% 0.86/1.21 excuselevel = 1
% 0.86/1.21 increasemaxweight = 1
% 0.86/1.21
% 0.86/1.21 maxselected = 10000000
% 0.86/1.21 maxnrclauses = 10000000
% 0.86/1.21
% 0.86/1.21 showgenerated = 0
% 0.86/1.21 showkept = 0
% 0.86/1.21 showselected = 0
% 0.86/1.21 showdeleted = 0
% 0.86/1.21 showresimp = 1
% 0.86/1.21 showstatus = 2000
% 0.86/1.21
% 0.86/1.21 prologoutput = 1
% 0.86/1.21 nrgoals = 5000000
% 0.86/1.21 totalproof = 1
% 0.86/1.21
% 0.86/1.21 Symbols occurring in the translation:
% 0.86/1.21
% 0.86/1.21 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.86/1.21 . [1, 2] (w:1, o:165, a:1, s:1, b:0),
% 0.86/1.21 ! [4, 1] (w:0, o:101, a:1, s:1, b:0),
% 0.86/1.21 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.86/1.21 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.86/1.21 'class_Orderings_Owellorder' [40, 1] (w:1, o:106, a:1, s:1, b:0),
% 0.86/1.21 'c_lessequals' [41, 1] (w:1, o:107, a:1, s:1, b:0),
% 0.86/1.21 'c_Orderings_Oord__class_OLeast' [43, 2] (w:1, o:190, a:1, s:1, b:0)
% 0.86/1.21 ,
% 0.86/1.21 hAPP [44, 2] (w:1, o:191, a:1, s:1, b:0),
% 0.86/1.21 hBOOL [46, 1] (w:1, o:108, a:1, s:1, b:0),
% 0.86/1.21 'c_HOL_Oord__class_Oless' [47, 3] (w:1, o:200, a:1, s:1, b:0),
% 0.86/1.21 'tc_bool' [49, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.86/1.21 'tc_fun' [50, 2] (w:1, o:192, a:1, s:1, b:0),
% 0.86/1.21 'c_Lattices_Olower__semilattice__class_Oinf' [51, 1] (w:1, o:109, a:1
% 0.86/1.21 , s:1, b:0),
% 0.86/1.21 'c_Orderings_Obot__class_Obot' [52, 1] (w:1, o:110, a:1, s:1, b:0),
% 0.86/1.21 'class_Ring__and__Field_Ocomm__semiring__1' [55, 1] (w:1, o:111, a:1
% 0.86/1.21 , s:1, b:0),
% 0.86/1.21 'c_HOL_Oplus__class_Oplus' [56, 1] (w:1, o:112, a:1, s:1, b:0),
% 0.86/1.21 'class_OrderedGroup_Ocomm__monoid__add' [59, 1] (w:1, o:113, a:1, s:1
% 0.86/1.21 , b:0),
% 0.86/1.21 'c_Finite__Set_Ofinite' [62, 2] (w:1, o:193, a:1, s:1, b:0),
% 0.86/1.21 'c_Set_Oinsert' [63, 3] (w:1, o:201, a:1, s:1, b:0),
% 0.86/1.21 'c_fequal' [64, 1] (w:1, o:114, a:1, s:1, b:0),
% 0.86/1.21 'c_COMBC' [65, 4] (w:1, o:217, a:1, s:1, b:0),
% 0.86/1.21 'c_The' [66, 2] (w:1, o:194, a:1, s:1, b:0),
% 0.86/1.21 'c_List_Olist_ONil' [69, 1] (w:1, o:115, a:1, s:1, b:0),
% 0.86/1.21 'c_List_Olist_OCons' [70, 3] (w:1, o:202, a:1, s:1, b:0),
% 0.86/1.21 'c_List_Oappend' [71, 3] (w:1, o:203, a:1, s:1, b:0),
% 0.86/1.21 'c_ListOrder_Ostep1' [73, 4] (w:1, o:218, a:1, s:1, b:0),
% 0.86/1.21 'class_Ring__and__Field_Oidom' [74, 1] (w:1, o:116, a:1, s:1, b:0),
% 0.86/1.21 'class_Int_Onumber__ring' [75, 1] (w:1, o:118, a:1, s:1, b:0),
% 0.86/1.21 'c_HOL_Ozero__class_Ozero' [76, 1] (w:1, o:119, a:1, s:1, b:0),
% 0.86/1.75 'class_OrderedGroup_Oab__group__add' [77, 1] (w:1, o:120, a:1, s:1
% 0.86/1.75 , b:0),
% 0.86/1.75 'c_HOL_Ominus__class_Ominus' [78, 1] (w:1, o:121, a:1, s:1, b:0),
% 0.86/1.75 'class_OrderedGroup_Ogroup__add' [79, 1] (w:1, o:122, a:1, s:1, b:0)
% 0.86/1.75 ,
% 0.86/1.75 't_a' [80, 0] (w:1, o:31, a:1, s:1, b:0),
% 0.86/1.75 'class_HOL_Oord' [81, 1] (w:1, o:117, a:1, s:1, b:0),
% 0.86/1.75 'v_P' [82, 0] (w:1, o:32, a:1, s:1, b:0),
% 0.86/1.75 'c_COMBB' [83, 3] (w:1, o:204, a:1, s:1, b:0),
% 0.86/1.75 'c_and' [84, 0] (w:1, o:33, a:1, s:1, b:0),
% 0.86/1.75 'c_COMBS' [85, 4] (w:1, o:219, a:1, s:1, b:0),
% 0.86/1.75 'c_All' [86, 1] (w:1, o:123, a:1, s:1, b:0),
% 0.86/1.75 'c_implies' [87, 0] (w:1, o:34, a:1, s:1, b:0),
% 0.86/1.75 'c_Lambda_OdB_OApp' [89, 0] (w:1, o:40, a:1, s:1, b:0),
% 0.86/1.75 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3' [90, 1
% 0.86/1.75 ] (w:1, o:125, a:1, s:1, b:0),
% 0.86/1.75 'c_Lambda_OdB_OAbs' [91, 1] (w:1, o:126, a:1, s:1, b:0),
% 0.86/1.75 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__4' [92, 1
% 0.86/1.75 ] (w:1, o:127, a:1, s:1, b:0),
% 0.86/1.75 'tc_Lambda_OdB' [93, 0] (w:1, o:41, a:1, s:1, b:0),
% 0.86/1.75 'c_List_Ofoldl' [94, 5] (w:1, o:228, a:1, s:1, b:0),
% 0.86/1.75 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1' [95, 1
% 0.86/1.75 ] (w:1, o:128, a:1, s:1, b:0),
% 0.86/1.75 'c_Lambda_OdB_OVar' [96, 1] (w:1, o:129, a:1, s:1, b:0),
% 0.86/1.75 'c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2' [97, 1
% 0.86/1.75 ] (w:1, o:124, a:1, s:1, b:0),
% 0.86/1.75 'c_ListApplication_Osko__ListApplication__Xlem__1__3' [98, 1] (w:1
% 0.86/1.75 , o:131, a:1, s:1, b:0),
% 0.86/1.75 'c_ListApplication_Osko__ListApplication__Xlem__1__4' [99, 1] (w:1
% 0.86/1.75 , o:132, a:1, s:1, b:0),
% 0.86/1.75 'c_ListApplication_Osko__ListApplication__Xlem__1__1' [100, 1] (w:1
% 0.86/1.75 , o:133, a:1, s:1, b:0),
% 0.86/1.75 'c_ListApplication_Osko__ListApplication__Xlem__1__2' [101, 1] (w:1
% 0.86/1.75 , o:130, a:1, s:1, b:0),
% 0.86/1.75 'class_Lattices_Obounded__lattice' [102, 1] (w:1, o:134, a:1, s:1, b:
% 0.86/1.75 0),
% 0.86/1.75 'class_OrderedGroup_Olordered__ab__group__add' [103, 1] (w:1, o:135
% 0.86/1.75 , a:1, s:1, b:0),
% 0.86/1.75 'c_Lattices_Oupper__semilattice__class_Osup' [104, 3] (w:1, o:205, a:
% 0.86/1.75 1, s:1, b:0),
% 0.86/1.75 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [105, 1]
% 0.86/1.75 (w:1, o:136, a:1, s:1, b:0),
% 0.86/1.75 'class_Orderings_Obot' [106, 1] (w:1, o:137, a:1, s:1, b:0),
% 0.86/1.75 'c_Lambda_Obeta' [107, 0] (w:1, o:42, a:1, s:1, b:0),
% 0.86/1.75 'c_Transitive__Closure_Ortranclp' [108, 2] (w:1, o:195, a:1, s:1, b:0
% 0.86/1.75 ),
% 0.86/1.75 'c_Lambda_Osubst' [110, 3] (w:1, o:206, a:1, s:1, b:0),
% 0.86/1.75 'c_Collect' [112, 2] (w:1, o:196, a:1, s:1, b:0),
% 0.86/1.75 'c_InductTermi_OIT' [113, 0] (w:1, o:46, a:1, s:1, b:0),
% 0.86/1.75 'v_sko__InductTermi__XIT__Xcases__5' [114, 1] (w:1, o:138, a:1, s:1
% 0.86/1.75 , b:0),
% 0.86/1.75 'v_sko__InductTermi__XIT__Xcases__3' [115, 1] (w:1, o:140, a:1, s:1
% 0.86/1.75 , b:0),
% 0.86/1.75 'v_sko__InductTermi__XIT__Xcases__1' [116, 1] (w:1, o:141, a:1, s:1
% 0.86/1.75 , b:0),
% 0.86/1.75 'c_List_Olistsp' [117, 3] (w:1, o:207, a:1, s:1, b:0),
% 0.86/1.75 'c_Finite__Set_Osetsum' [120, 4] (w:1, o:220, a:1, s:1, b:0),
% 0.86/1.75 'c_List_Ofilter' [122, 3] (w:1, o:208, a:1, s:1, b:0),
% 0.86/1.75 'v_x' [125, 0] (w:1, o:63, a:1, s:1, b:0),
% 0.86/1.75 'c_Lambda_OdB_OdB__case' [131, 5] (w:1, o:229, a:1, s:1, b:0),
% 0.86/1.75 'tc_nat' [132, 0] (w:1, o:65, a:1, s:1, b:0),
% 0.86/1.75 'c_Lambda_Osubstn' [137, 3] (w:1, o:209, a:1, s:1, b:0),
% 0.86/1.75 'c_Lambda_Oliftn' [138, 3] (w:1, o:210, a:1, s:1, b:0),
% 0.86/1.75 'class_OrderedGroup_Opordered__ab__semigroup__add' [139, 1] (w:1, o:
% 0.86/1.75 142, a:1, s:1, b:0),
% 0.86/1.75 'class_Lattices_Olattice' [141, 1] (w:1, o:143, a:1, s:1, b:0),
% 0.86/1.75 'class_Lattices_Odistrib__lattice' [143, 1] (w:1, o:144, a:1, s:1, b:
% 0.86/1.75 0),
% 0.86/1.75 'class_OrderedGroup_Opordered__comm__monoid__add' [144, 1] (w:1, o:
% 0.86/1.75 145, a:1, s:1, b:0),
% 0.86/1.75 'class_OrderedGroup_Olordered__ab__group__add__join' [145, 1] (w:1
% 0.86/1.75 , o:146, a:1, s:1, b:0),
% 0.86/1.75 'class_Lattices_Oupper__semilattice' [146, 1] (w:1, o:147, a:1, s:1
% 0.86/1.75 , b:0),
% 0.86/1.75 'class_Orderings_Opreorder' [147, 1] (w:1, o:149, a:1, s:1, b:0),
% 0.86/1.75 'class_Orderings_Oorder' [148, 1] (w:1, o:148, a:1, s:1, b:0),
% 0.86/1.75 'c_Hilbert__Choice_OEps' [149, 2] (w:1, o:197, a:1, s:1, b:0),
% 7.09/7.46 'class_OrderedGroup_Oab__semigroup__add' [150, 1] (w:1, o:150, a:1
% 7.09/7.46 , s:1, b:0),
% 7.09/7.46 'class_Orderings_Olinorder' [156, 1] (w:1, o:151, a:1, s:1, b:0),
% 7.09/7.46 'class_OrderedGroup_Olordered__ab__group__add__meet' [157, 1] (w:1
% 7.09/7.46 , o:152, a:1, s:1, b:0),
% 7.09/7.46 'c_List_Omap' [158, 4] (w:1, o:221, a:1, s:1, b:0),
% 7.09/7.46 'class_Ring__and__Field_Oordered__idom' [163, 1] (w:1, o:153, a:1, s:
% 7.09/7.46 1, b:0),
% 7.09/7.46 'class_OrderedGroup_Omonoid__add' [164, 1] (w:1, o:154, a:1, s:1, b:0
% 7.09/7.46 ),
% 7.09/7.46 'class_Lattices_Olower__semilattice' [165, 1] (w:1, o:155, a:1, s:1
% 7.09/7.46 , b:0),
% 7.09/7.46 'c_Lambda_Olift' [167, 0] (w:1, o:84, a:1, s:1, b:0),
% 7.09/7.46 'c_OrderedGroup_Osemigroup__add' [169, 2] (w:1, o:198, a:1, s:1, b:0)
% 7.09/7.46 ,
% 7.09/7.46 'class_OrderedGroup_Opordered__ab__group__add' [170, 1] (w:1, o:156
% 7.09/7.46 , a:1, s:1, b:0),
% 7.09/7.46 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [171, 1]
% 7.09/7.46 (w:1, o:157, a:1, s:1, b:0),
% 7.09/7.46 'class_OrderedGroup_Ocancel__ab__semigroup__add' [176, 1] (w:1, o:158
% 7.09/7.46 , a:1, s:1, b:0),
% 7.09/7.46 'class_OrderedGroup_Ocancel__semigroup__add' [177, 1] (w:1, o:159, a:
% 7.09/7.46 1, s:1, b:0),
% 7.09/7.46 'c_HOL_Oinduct__forall' [179, 2] (w:1, o:199, a:1, s:1, b:0),
% 7.09/7.46 'c_Type_Otyping' [182, 3] (w:1, o:211, a:1, s:1, b:0),
% 7.09/7.46 'class_Finite__Set_Ofinite_Ofinite' [183, 1] (w:1, o:160, a:1, s:1
% 7.09/7.46 , b:0),
% 7.09/7.46 'c_OrderedGroup_Omonoid__add' [185, 3] (w:1, o:212, a:1, s:1, b:0),
% 7.09/7.46 'v_sko__InductTermi__XIT__Xcases__2' [186, 1] (w:1, o:139, a:1, s:1
% 7.09/7.46 , b:0),
% 7.09/7.46 'c_Lambda_OdB_OdB__rec' [187, 5] (w:1, o:230, a:1, s:1, b:0),
% 7.09/7.46 'class_OrderedGroup_Osemigroup__add' [188, 1] (w:1, o:161, a:1, s:1
% 7.09/7.46 , b:0),
% 7.09/7.46 'class_Ring__and__Field_Oordered__semidom' [189, 1] (w:1, o:162, a:1
% 7.09/7.46 , s:1, b:0),
% 7.09/7.46 'c_HOL_Oinduct__conj' [196, 0] (w:1, o:45, a:1, s:1, b:0),
% 7.09/7.46 'c_or' [197, 0] (w:1, o:88, a:1, s:1, b:0),
% 7.09/7.46 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1' [
% 7.09/7.46 200, 4] (w:1, o:222, a:1, s:1, b:0),
% 7.09/7.46 'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2' [201, 1
% 7.09/7.46 ] (w:1, o:164, a:1, s:1, b:0),
% 7.09/7.46 'c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1' [202, 1
% 7.09/7.46 ] (w:1, o:163, a:1, s:1, b:0),
% 7.09/7.46 'c_Hilbert__Choice_OLeastM' [203, 4] (w:1, o:223, a:1, s:1, b:0),
% 7.09/7.46 'c_Hilbert__Choice_OGreatestM' [204, 4] (w:1, o:224, a:1, s:1, b:0),
% 7.09/7.46
% 7.09/7.46 'c_Type_Osko__Type__Xvar__app__typesE__1__1' [205, 4] (w:1, o:225, a:
% 7.09/7.46 1, s:1, b:0),
% 7.09/7.46 'c_Type_Otypings' [206, 3] (w:1, o:213, a:1, s:1, b:0),
% 7.09/7.46 'c_Type_Osko__Type__Xvar__app__types__1__1' [208, 4] (w:1, o:226, a:1
% 7.09/7.46 , s:1, b:0),
% 7.09/7.46 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1' [211, 3] (w:
% 7.09/7.46 1, o:214, a:1, s:1, b:0),
% 7.09/7.46 'c_Orderings_Oord_OLeast' [213, 3] (w:1, o:215, a:1, s:1, b:0),
% 7.09/7.46 'c_List_Osko__List__Xin__listsp__conv__set__1__1' [217, 3] (w:1, o:
% 7.09/7.46 216, a:1, s:1, b:0),
% 7.09/7.46 'c_List_Osko__List__Xfoldl__apply__inv__1__1' [220, 4] (w:1, o:227
% 7.09/7.46 , a:1, s:1, b:0),
% 7.09/7.46 'v_rs' [224, 0] (w:1, o:94, a:1, s:1, b:0),
% 7.09/7.46 'v_n' [225, 0] (w:1, o:95, a:1, s:1, b:0),
% 7.09/7.46 'v_ia' [226, 0] (w:1, o:96, a:1, s:1, b:0).
% 7.09/7.46
% 7.09/7.46
% 7.09/7.46 Starting Search:
% 7.09/7.46
% 7.09/7.46 Resimplifying inuse:
% 7.09/7.46 Done
% 7.09/7.46
% 7.09/7.46
% 7.09/7.46 Intermediate Status:
% 7.09/7.46 Generated: 4529
% 7.09/7.46 Kept: 2190
% 7.09/7.46 Inuse: 141
% 7.09/7.46 Deleted: 2
% 7.09/7.46 Deletedinuse: 0
% 7.09/7.46
% 7.09/7.46 Resimplifying inuse:
% 7.09/7.46 Done
% 7.09/7.46
% 7.09/7.46 Resimplifying inuse:
% 7.09/7.46 Done
% 7.09/7.46
% 7.09/7.46
% 7.09/7.46 Intermediate Status:
% 7.09/7.46 Generated: 12349
% 7.09/7.46 Kept: 4258
% 7.09/7.46 Inuse: 199
% 7.09/7.46 Deleted: 2
% 7.09/7.46 Deletedinuse: 0
% 7.09/7.46
% 7.09/7.46 Resimplifying inuse:
% 7.09/7.46 Done
% 7.09/7.46
% 7.09/7.46
% 7.09/7.46 Intermediate Status:
% 7.09/7.46 Generated: 22752
% 7.09/7.46 Kept: 6670
% 7.09/7.46 Inuse: 234
% 7.09/7.46 Deleted: 2
% 7.09/7.46 Deletedinuse: 0
% 7.09/7.46
% 7.09/7.46 Resimplifying inuse:
% 7.09/7.46 Done
% 7.09/7.46
% 7.09/7.46 Resimplifying inuse:
% 7.09/7.46 Done
% 7.09/7.46
% 7.09/7.46
% 7.09/7.46 Intermediate Status:
% 7.09/7.46 Generated: 30716
% 7.09/7.46 Kept: 8677
% 7.09/7.46 Inuse: 296
% 7.09/7.46 Deleted: 2
% 7.09/7.46 Deletedinuse: 0
% 7.09/7.46
% 7.09/7.46 Resimplifying inuse:
% 7.09/7.46 Done
% 7.09/7.46
% 7.09/7.46 Resimplifying inuse:
% 7.09/7.46 Done
% 7.09/7.46
% 7.09/7.46
% 7.09/7.46 Intermediate Status:
% 7.09/7.46 Generated: 42779
% 7.09/7.46 Kept: 10703
% 7.09/7.46 Inuse: 375
% 7.09/7.46 Deleted: 3
% 7.09/7.46 Deletedinuse: 0
% 7.09/7.46
% 7.09/7.46 Resimplifying inuse:
% 7.09/7.46 Done
% 7.09/7.46
% 7.09/7.46 Resimplifying inuse:
% 7.09/7.46 Done
% 7.09/7.46
% 7.09/7.46
% 7.09/7.46 Intermediate Status:
% 7.09/7.46 Generated: 49571
% 7.09/7.46 Kept: 12736
% 7.09/7.46 Inuse: 393
% 7.09/7.46 Deleted: 3
% 7.09/7.46 Deletedinuse: 0
% 7.09/7.46
% 7.09/7.46 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81
% 21.45/21.81 Intermediate Status:
% 21.45/21.81 Generated: 65365
% 21.45/21.81 Kept: 15460
% 21.45/21.81 Inuse: 458
% 21.45/21.81 Deleted: 45
% 21.45/21.81 Deletedinuse: 23
% 21.45/21.81
% 21.45/21.81 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81
% 21.45/21.81 Intermediate Status:
% 21.45/21.81 Generated: 76715
% 21.45/21.81 Kept: 18029
% 21.45/21.81 Inuse: 500
% 21.45/21.81 Deleted: 49
% 21.45/21.81 Deletedinuse: 23
% 21.45/21.81
% 21.45/21.81 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81
% 21.45/21.81 Intermediate Status:
% 21.45/21.81 Generated: 87037
% 21.45/21.81 Kept: 20094
% 21.45/21.81 Inuse: 524
% 21.45/21.81 Deleted: 50
% 21.45/21.81 Deletedinuse: 23
% 21.45/21.81
% 21.45/21.81 Resimplifying clauses:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81
% 21.45/21.81 Intermediate Status:
% 21.45/21.81 Generated: 102137
% 21.45/21.81 Kept: 23191
% 21.45/21.81 Inuse: 569
% 21.45/21.81 Deleted: 1510
% 21.45/21.81 Deletedinuse: 23
% 21.45/21.81
% 21.45/21.81 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81
% 21.45/21.81 Intermediate Status:
% 21.45/21.81 Generated: 114516
% 21.45/21.81 Kept: 26064
% 21.45/21.81 Inuse: 600
% 21.45/21.81 Deleted: 1510
% 21.45/21.81 Deletedinuse: 23
% 21.45/21.81
% 21.45/21.81 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81
% 21.45/21.81 Intermediate Status:
% 21.45/21.81 Generated: 121496
% 21.45/21.81 Kept: 28106
% 21.45/21.81 Inuse: 634
% 21.45/21.81 Deleted: 1510
% 21.45/21.81 Deletedinuse: 23
% 21.45/21.81
% 21.45/21.81 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81
% 21.45/21.81 Intermediate Status:
% 21.45/21.81 Generated: 134566
% 21.45/21.81 Kept: 31011
% 21.45/21.81 Inuse: 674
% 21.45/21.81 Deleted: 1510
% 21.45/21.81 Deletedinuse: 23
% 21.45/21.81
% 21.45/21.81 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81
% 21.45/21.81 Intermediate Status:
% 21.45/21.81 Generated: 151796
% 21.45/21.81 Kept: 33294
% 21.45/21.81 Inuse: 699
% 21.45/21.81 Deleted: 1511
% 21.45/21.81 Deletedinuse: 24
% 21.45/21.81
% 21.45/21.81 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81
% 21.45/21.81 Intermediate Status:
% 21.45/21.81 Generated: 167920
% 21.45/21.81 Kept: 35306
% 21.45/21.81 Inuse: 713
% 21.45/21.81 Deleted: 1511
% 21.45/21.81 Deletedinuse: 24
% 21.45/21.81
% 21.45/21.81 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81
% 21.45/21.81 Intermediate Status:
% 21.45/21.81 Generated: 175979
% 21.45/21.81 Kept: 37349
% 21.45/21.81 Inuse: 749
% 21.45/21.81 Deleted: 1511
% 21.45/21.81 Deletedinuse: 24
% 21.45/21.81
% 21.45/21.81 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81
% 21.45/21.81 Intermediate Status:
% 21.45/21.81 Generated: 184991
% 21.45/21.81 Kept: 39354
% 21.45/21.81 Inuse: 784
% 21.45/21.81 Deleted: 1512
% 21.45/21.81 Deletedinuse: 24
% 21.45/21.81
% 21.45/21.81 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81 Resimplifying clauses:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81
% 21.45/21.81 Intermediate Status:
% 21.45/21.81 Generated: 192419
% 21.45/21.81 Kept: 41392
% 21.45/21.81 Inuse: 808
% 21.45/21.81 Deleted: 1677
% 21.45/21.81 Deletedinuse: 24
% 21.45/21.81
% 21.45/21.81 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81
% 21.45/21.81 Intermediate Status:
% 21.45/21.81 Generated: 203321
% 21.45/21.81 Kept: 43533
% 21.45/21.81 Inuse: 843
% 21.45/21.81 Deleted: 1677
% 21.45/21.81 Deletedinuse: 24
% 21.45/21.81
% 21.45/21.81 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81
% 21.45/21.81 Intermediate Status:
% 21.45/21.81 Generated: 223604
% 21.45/21.81 Kept: 47236
% 21.45/21.81 Inuse: 882
% 21.45/21.81 Deleted: 1678
% 21.45/21.81 Deletedinuse: 24
% 21.45/21.81
% 21.45/21.81 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81
% 21.45/21.81 Intermediate Status:
% 21.45/21.81 Generated: 232684
% 21.45/21.81 Kept: 49326
% 21.45/21.81 Inuse: 887
% 21.45/21.81 Deleted: 1678
% 21.45/21.81 Deletedinuse: 24
% 21.45/21.81
% 21.45/21.81 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81
% 21.45/21.81 Intermediate Status:
% 21.45/21.81 Generated: 243024
% 21.45/21.81 Kept: 51587
% 21.45/21.81 Inuse: 917
% 21.45/21.81 Deleted: 1678
% 21.45/21.81 Deletedinuse: 24
% 21.45/21.81
% 21.45/21.81 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81
% 21.45/21.81 Intermediate Status:
% 21.45/21.81 Generated: 268049
% 21.45/21.81 Kept: 54528
% 21.45/21.81 Inuse: 937
% 21.45/21.81 Deleted: 1678
% 21.45/21.81 Deletedinuse: 24
% 21.45/21.81
% 21.45/21.81 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81
% 21.45/21.81 Intermediate Status:
% 21.45/21.81 Generated: 290252
% 21.45/21.81 Kept: 57169
% 21.45/21.81 Inuse: 947
% 21.45/21.81 Deleted: 1678
% 21.45/21.81 Deletedinuse: 24
% 21.45/21.81
% 21.45/21.81 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81
% 21.45/21.81 Intermediate Status:
% 21.45/21.81 Generated: 301618
% 21.45/21.81 Kept: 59422
% 21.45/21.81 Inuse: 957
% 21.45/21.81 Deleted: 1678
% 21.45/21.81 Deletedinuse: 24
% 21.45/21.81
% 21.45/21.81 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81 Resimplifying clauses:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81
% 21.45/21.81 Intermediate Status:
% 21.45/21.81 Generated: 312185
% 21.45/21.81 Kept: 62158
% 21.45/21.81 Inuse: 963
% 21.45/21.81 Deleted: 1808
% 21.45/21.81 Deletedinuse: 24
% 21.45/21.81
% 21.45/21.81 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81
% 21.45/21.81 Intermediate Status:
% 21.45/21.81 Generated: 328019
% 21.45/21.81 Kept: 65676
% 21.45/21.81 Inuse: 972
% 21.45/21.81 Deleted: 1809
% 21.45/21.81 Deletedinuse: 25
% 21.45/21.81
% 21.45/21.81 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81
% 21.45/21.81 Intermediate Status:
% 21.45/21.81 Generated: 339401
% 21.45/21.81 Kept: 67680
% 21.45/21.81 Inuse: 1000
% 21.45/21.81 Deleted: 1809
% 21.45/21.81 Deletedinuse: 25
% 21.45/21.81
% 21.45/21.81 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81
% 21.45/21.81 Intermediate Status:
% 21.45/21.81 Generated: 360553
% 21.45/21.81 Kept: 71663
% 21.45/21.81 Inuse: 1032
% 21.45/21.81 Deleted: 1809
% 21.45/21.81 Deletedinuse: 25
% 21.45/21.81
% 21.45/21.81 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81 Resimplifying inuse:
% 21.45/21.81 Done
% 21.45/21.81
% 21.45/21.81
% 21.45/21.81 Intermediate Status:
% 21.45/21.81 Generated: 371284
% 21.45/21.81 Kept: 73850
% 21.45/21.81 Inuse: 1062
% 21.45/21.81 Deleted: 1809
% 67.01/67.42 Deletedinuse: 25
% 67.01/67.42
% 67.01/67.42 Resimplifying inuse:
% 67.01/67.42 Done
% 67.01/67.42
% 67.01/67.42 Resimplifying inuse:
% 67.01/67.42 Done
% 67.01/67.42
% 67.01/67.42
% 67.01/67.42 Intermediate Status:
% 67.01/67.42 Generated: 381891
% 67.01/67.42 Kept: 75983
% 67.01/67.42 Inuse: 1092
% 67.01/67.42 Deleted: 1809
% 67.01/67.42 Deletedinuse: 25
% 67.01/67.42
% 67.01/67.42 Resimplifying inuse:
% 67.01/67.42 Done
% 67.01/67.42
% 67.01/67.42 Resimplifying inuse:
% 67.01/67.42 Done
% 67.01/67.42
% 67.01/67.42
% 67.01/67.42 Intermediate Status:
% 67.01/67.42 Generated: 388891
% 67.01/67.42 Kept: 78141
% 67.01/67.42 Inuse: 1114
% 67.01/67.42 Deleted: 1813
% 67.01/67.42 Deletedinuse: 26
% 67.01/67.42
% 67.01/67.42 Resimplifying inuse:
% 67.01/67.42 Done
% 67.01/67.42
% 67.01/67.42 Resimplifying inuse:
% 67.01/67.42 Done
% 67.01/67.42
% 67.01/67.42
% 67.01/67.42 Intermediate Status:
% 67.01/67.42 Generated: 400820
% 67.01/67.42 Kept: 80142
% 67.01/67.42 Inuse: 1133
% 67.01/67.42 Deleted: 1829
% 67.01/67.42 Deletedinuse: 28
% 67.01/67.42
% 67.01/67.42 Resimplifying clauses:
% 67.01/67.42 Done
% 67.01/67.42
% 67.01/67.42
% 67.01/67.42 Intermediate Status:
% 67.01/67.42 Generated: 439821
% 67.01/67.42 Kept: 85484
% 67.01/67.42 Inuse: 1140
% 67.01/67.42 Deleted: 2115
% 67.01/67.42 Deletedinuse: 28
% 67.01/67.42
% 67.01/67.42 Resimplifying inuse:
% 67.01/67.42 Done
% 67.01/67.42
% 67.01/67.42 Resimplifying inuse:
% 67.01/67.42 Done
% 67.01/67.42
% 67.01/67.42
% 67.01/67.42 Intermediate Status:
% 67.01/67.42 Generated: 449696
% 67.01/67.42 Kept: 87747
% 67.01/67.42 Inuse: 1165
% 67.01/67.42 Deleted: 2115
% 67.01/67.42 Deletedinuse: 28
% 67.01/67.42
% 67.01/67.42 Resimplifying inuse:
% 67.01/67.42 Done
% 67.01/67.42
% 67.01/67.42 Resimplifying inuse:
% 67.01/67.42 Done
% 67.01/67.42
% 67.01/67.42
% 67.01/67.42 Intermediate Status:
% 67.01/67.42 Generated: 460962
% 67.01/67.42 Kept: 89803
% 67.01/67.42 Inuse: 1190
% 67.01/67.42 Deleted: 2115
% 67.01/67.42 Deletedinuse: 28
% 67.01/67.42
% 67.01/67.42 Resimplifying inuse:
% 67.01/67.42 Done
% 67.01/67.42
% 67.01/67.42
% 67.01/67.42 Intermediate Status:
% 67.01/67.42 Generated: 477061
% 67.01/67.42 Kept: 94146
% 67.01/67.42 Inuse: 1213
% 67.01/67.42 Deleted: 2115
% 67.01/67.42 Deletedinuse: 28
% 67.01/67.42
% 67.01/67.42 Resimplifying inuse:
% 67.01/67.42 Done
% 67.01/67.42
% 67.01/67.42
% 67.01/67.42 Intermediate Status:
% 67.01/67.42 Generated: 483547
% 67.01/67.42 Kept: 96390
% 67.01/67.42 Inuse: 1215
% 67.01/67.42 Deleted: 2115
% 67.01/67.42 Deletedinuse: 28
% 67.01/67.42
% 67.01/67.42 Resimplifying inuse:
% 67.01/67.42 Done
% 67.01/67.42
% 67.01/67.42
% 67.01/67.42 Intermediate Status:
% 67.01/67.42 Generated: 491182
% 67.01/67.42 Kept: 98729
% 67.01/67.42 Inuse: 1220
% 67.01/67.42 Deleted: 2115
% 67.01/67.42 Deletedinuse: 28
% 67.01/67.42
% 67.01/67.42 Resimplifying inuse:
% 67.01/67.42 Done
% 67.01/67.42
% 67.01/67.42 Resimplifying inuse:
% 67.01/67.42 Done
% 67.01/67.42
% 67.01/67.42
% 67.01/67.42 Intermediate Status:
% 67.01/67.42 Generated: 502053
% 67.01/67.42 Kept: 100807
% 67.01/67.42 Inuse: 1245
% 67.01/67.42 Deleted: 2115
% 67.01/67.42 Deletedinuse: 28
% 67.01/67.42
% 67.01/67.42 Resimplifying clauses:
% 67.01/67.42 Done
% 67.01/67.42
% 67.01/67.42 Resimplifying inuse:
% 67.01/67.42 Done
% 67.01/67.42
% 67.01/67.42 Resimplifying inuse:
% 67.01/67.42 Done
% 67.01/67.42
% 67.01/67.42
% 67.01/67.42 Intermediate Status:
% 67.01/67.42 Generated: 512279
% 67.01/67.42 Kept: 103020
% 67.01/67.42 Inuse: 1270
% 67.01/67.42 Deleted: 2225
% 67.01/67.42 Deletedinuse: 28
% 67.01/67.42
% 67.01/67.42 Resimplifying inuse:
% 67.01/67.42 Done
% 67.01/67.42
% 67.01/67.42 Resimplifying inuse:
% 67.01/67.42 Done
% 67.01/67.42
% 67.01/67.42
% 67.01/67.42 Intermediate Status:
% 67.01/67.42 Generated: 521973
% 67.01/67.42 Kept: 105279
% 67.01/67.42 Inuse: 1295
% 67.01/67.42 Deleted: 2225
% 67.01/67.42 Deletedinuse: 28
% 67.01/67.42
% 67.01/67.42 Resimplifying inuse:
% 67.01/67.42 Done
% 67.01/67.42
% 67.01/67.42
% 67.01/67.42 Intermediate Status:
% 67.01/67.42 Generated: 531008
% 67.01/67.42 Kept: 107470
% 67.01/67.42 Inuse: 1315
% 67.01/67.42 Deleted: 2225
% 67.01/67.42 Deletedinuse: 28
% 67.01/67.42
% 67.01/67.42 Resimplifying inuse:
% 67.01/67.42 Done
% 67.01/67.42
% 67.01/67.42 Resimplifying inuse:
% 67.01/67.42 Done
% 67.01/67.42
% 67.01/67.42
% 67.01/67.42 Intermediate Status:
% 67.01/67.42 Generated: 550846
% 67.01/67.42 Kept: 110859
% 67.01/67.42 Inuse: 1330
% 67.01/67.42 Deleted: 2225
% 67.01/67.42 Deletedinuse: 28
% 67.01/67.42
% 67.01/67.42 Resimplifying inuse:
% 67.01/67.42 Done
% 67.01/67.42
% 67.01/67.42
% 67.01/67.42 Intermediate Status:
% 67.01/67.42 Generated: 565867
% 67.01/67.42 Kept: 113044
% 67.01/67.42 Inuse: 1335
% 67.01/67.42 Deleted: 2225
% 67.01/67.42 Deletedinuse: 28
% 67.01/67.42
% 67.01/67.42 Resimplifying inuse:
% 67.01/67.42 Done
% 67.01/67.42
% 67.01/67.42 Resimplifying inuse:
% 67.01/67.42 Done
% 67.01/67.42
% 67.01/67.42
% 67.01/67.42 Intermediate Status:
% 67.01/67.42 Generated: 575138
% 67.01/67.42 Kept: 115067
% 67.01/67.42 Inuse: 1359
% 67.01/67.42 Deleted: 2226
% 67.01/67.42 Deletedinuse: 28
% 67.01/67.42
% 67.01/67.42 Resimplifying inuse:
% 67.01/67.42 Done
% 67.01/67.42
% 67.01/67.42
% 67.01/67.42 Intermediate Status:
% 67.01/67.42 Generated: 581337
% 67.01/67.42 Kept: 117096
% 67.01/67.42 Inuse: 1366
% 67.01/67.42 Deleted: 2235
% 67.01/67.42 Deletedinuse: 29
% 67.01/67.42
% 67.01/67.42 Resimplifying inuse:
% 67.01/67.42 Done
% 67.01/67.42
% 67.01/67.42 Resimplifying inuse:
% 67.01/67.42 Done
% 67.01/67.42
% 67.01/67.42
% 67.01/67.42 Intermediate Status:
% 67.01/67.42 Generated: 614587
% 67.01/67.42 Kept: 120558
% 67.01/67.42 Inuse: 1381
% 67.01/67.42 Deleted: 2235
% 67.01/67.42 Deletedinuse: 29
% 67.01/67.42
% 67.01/67.42 Resimplifying inuse:
% 67.01/67.42 Done
% 67.01/67.42
% 67.01/67.42
% 67.01/67.42 Intermediate Status:
% 67.01/67.42 Generated: 630332
% 67.01/67.42 Kept: 123714
% 67.01/67.42 Inuse: 1386
% 67.01/67.42 Deleted: 2235
% 67.01/67.42 Deletedinuse: 29
% 67.01/67.42
% 67.01/67.42 Resimplifying inuse:
% 67.01/67.42 Done
% 67.01/67.42
% 67.01/67.42 Resimplifying clauses:
% 67.01/67.42 Done
% 67.01/67.42
% 67.01/67.42
% 67.01/67.42 Intermediate Status:
% 67.01/67.42 Generated: 637568
% 67.01/67.42 Kept: 126545
% 67.01/67.42 Inuse: 1387
% 67.01/67.42 Deleted: 2745
% 67.01/67.42 Deletedinuse: 29
% 67.01/67.42
% 67.01/67.42 Resimplifying inuse:
% 67.01/67.42 Done
% 67.01/67.42
% 67.01/67.42
% 67.01/67.42 Intermediate Status:
% 67.01/67.42 Generated: 653000
% 67.01/67.42 Kept: 129666
% 67.01/67.42 Inuse: 1391
% 67.01/67.42 Deleted: 2745
% 67.01/67.42 Deletedinuse: 29
% 67.01/67.42
% 67.01/67.42 Resimplifying inuse:
% 67.01/67.42 Done
% 67.01/67.42
% 67.01/67.42 Resimplifying inuse:
% 67.01/67.42 Done
% 67.01/67.42
% 67.01/67.42
% 67.01/67.42 Intermediate Status:
% 67.01/67.42 Generated: 667360
% 67.01/67.42 Kept: 131667
% 67.01/67.42 Inuse: 1413
% 67.01/67.42 Deleted: 2745
% 67.01/67.42 Deletedinuse: 29
% 67.01/67.42
% 67.01/67.42 Resimplifying inuse:
% 67.01/67.42 Done
% 67.01/67.42
% 67.01/67.42 Resimplifying inuse:
% 67.01/67.42 Done
% 67.01/67.42
% 67.01/67.42
% 67.01/67.42 Intermediate Status:
% 67.01/67.42 Generated: 678492
% 67.01/67.42 Kept: 133856
% 67.01/67.42 Inuse: 1426
% 67.01/67.42 Deleted: 2745
% 67.01/67.42 Deletedinuse: 29
% 67.01/67.42
% 67.01/67.42 Resimplifying inuse:
% 67.01/67.42 Done
% 67.01/67.42
% 67.01/67.42
% 67.01/67.42 Intermediate Status:
% 67.01/67.42 Generated: 690586
% 67.01/67.42 Kept: 136231
% 67.01/67.42 Inuse: 1446
% 67.01/67.42 Deleted: 2745
% 67.01/67.42 Deletedinuse: 29
% 67.01/67.42
% 67.01/67.42 Resimplifying inuse:
% 67.01/67.42 Done
% 67.01/67.42
% 67.01/67.42 Resimplifying inuse:
% 67.01/67.42 Done
% 67.01/67.42
% 67.01/67.42
% 67.01/67.42 Intermediate Status:
% 67.01/67.42 Generated: 703014
% 67.01/67.42 Kept: 138793
% 67.01/67.42 Inuse: 1466
% 67.01/67.42 Deleted: 2745
% 192.05/192.51 Deletedinuse: 29
% 192.05/192.51
% 192.05/192.51 Resimplifying inuse:
% 192.05/192.51 Done
% 192.05/192.51
% 192.05/192.51 Resimplifying inuse:
% 192.05/192.51 Done
% 192.05/192.51
% 192.05/192.51
% 192.05/192.51 Intermediate Status:
% 192.05/192.51 Generated: 722353
% 192.05/192.51 Kept: 142251
% 192.05/192.51 Inuse: 1486
% 192.05/192.51 Deleted: 2745
% 192.05/192.51 Deletedinuse: 29
% 192.05/192.51
% 192.05/192.51 Resimplifying inuse:
% 192.05/192.51 Done
% 192.05/192.51
% 192.05/192.51
% 192.05/192.51 Intermediate Status:
% 192.05/192.51 Generated: 733607
% 192.05/192.51 Kept: 144313
% 192.05/192.51 Inuse: 1491
% 192.05/192.51 Deleted: 2745
% 192.05/192.51 Deletedinuse: 29
% 192.05/192.51
% 192.05/192.51 Resimplifying inuse:
% 192.05/192.51 Done
% 192.05/192.51
% 192.05/192.51 Resimplifying clauses:
% 192.05/192.51 Done
% 192.05/192.51
% 192.05/192.51 Resimplifying inuse:
% 192.05/192.51 Done
% 192.05/192.51
% 192.05/192.51
% 192.05/192.51 Intermediate Status:
% 192.05/192.51 Generated: 756892
% 192.05/192.51 Kept: 148989
% 192.05/192.51 Inuse: 1512
% 192.05/192.51 Deleted: 2784
% 192.05/192.51 Deletedinuse: 29
% 192.05/192.51
% 192.05/192.51 Resimplifying inuse:
% 192.05/192.51 Done
% 192.05/192.51
% 192.05/192.51 Resimplifying inuse:
% 192.05/192.51 Done
% 192.05/192.51
% 192.05/192.51
% 192.05/192.51 Intermediate Status:
% 192.05/192.51 Generated: 767707
% 192.05/192.51 Kept: 151446
% 192.05/192.51 Inuse: 1541
% 192.05/192.51 Deleted: 2786
% 192.05/192.51 Deletedinuse: 31
% 192.05/192.51
% 192.05/192.51 Resimplifying inuse:
% 192.05/192.51 Done
% 192.05/192.51
% 192.05/192.51
% 192.05/192.51 Intermediate Status:
% 192.05/192.51 Generated: 778239
% 192.05/192.51 Kept: 155221
% 192.05/192.51 Inuse: 1551
% 192.05/192.51 Deleted: 2786
% 192.05/192.51 Deletedinuse: 31
% 192.05/192.51
% 192.05/192.51 Resimplifying inuse:
% 192.05/192.51 Done
% 192.05/192.51
% 192.05/192.51 Resimplifying inuse:
% 192.05/192.51 Done
% 192.05/192.51
% 192.05/192.51
% 192.05/192.51 Intermediate Status:
% 192.05/192.51 Generated: 788442
% 192.05/192.51 Kept: 157401
% 192.05/192.51 Inuse: 1576
% 192.05/192.51 Deleted: 2786
% 192.05/192.51 Deletedinuse: 31
% 192.05/192.51
% 192.05/192.51 Resimplifying inuse:
% 192.05/192.51 Done
% 192.05/192.51
% 192.05/192.51 Resimplifying inuse:
% 192.05/192.51 Done
% 192.05/192.51
% 192.05/192.51
% 192.05/192.51 Intermediate Status:
% 192.05/192.51 Generated: 799139
% 192.05/192.51 Kept: 159410
% 192.05/192.51 Inuse: 1599
% 192.05/192.51 Deleted: 2786
% 192.05/192.51 Deletedinuse: 31
% 192.05/192.51
% 192.05/192.51 Resimplifying inuse:
% 192.05/192.51 Done
% 192.05/192.51
% 192.05/192.51
% 192.05/192.51 Intermediate Status:
% 192.05/192.51 Generated: 813440
% 192.05/192.51 Kept: 162914
% 192.05/192.51 Inuse: 1611
% 192.05/192.51 Deleted: 2786
% 192.05/192.51 Deletedinuse: 31
% 192.05/192.51
% 192.05/192.51 Resimplifying inuse:
% 192.05/192.51 Done
% 192.05/192.51
% 192.05/192.51
% 192.05/192.51 Intermediate Status:
% 192.05/192.51 Generated: 833047
% 192.05/192.51 Kept: 165415
% 192.05/192.51 Inuse: 1616
% 192.05/192.51 Deleted: 2786
% 192.05/192.51 Deletedinuse: 31
% 192.05/192.51
% 192.05/192.51 Resimplifying inuse:
% 192.05/192.51 Done
% 192.05/192.51
% 192.05/192.51 Resimplifying clauses:
% 192.05/192.51 Done
% 192.05/192.51
% 192.05/192.51 Resimplifying inuse:
% 192.05/192.51 Done
% 192.05/192.51
% 192.05/192.51
% 192.05/192.51 Intermediate Status:
% 192.05/192.51 Generated: 851764
% 192.05/192.51 Kept: 167426
% 192.05/192.51 Inuse: 1622
% 192.05/192.51 Deleted: 3286
% 192.05/192.51 Deletedinuse: 31
% 192.05/192.51
% 192.05/192.51 Resimplifying inuse:
% 192.05/192.51 Done
% 192.05/192.51
% 192.05/192.51
% 192.05/192.51 Intermediate Status:
% 192.05/192.51 Generated: 874344
% 192.05/192.51 Kept: 170710
% 192.05/192.51 Inuse: 1636
% 192.05/192.51 Deleted: 3286
% 192.05/192.51 Deletedinuse: 31
% 192.05/192.51
% 192.05/192.51 Resimplifying inuse:
% 192.05/192.51 Done
% 192.05/192.51
% 192.05/192.51
% 192.05/192.51 Intermediate Status:
% 192.05/192.51 Generated: 886199
% 192.05/192.51 Kept: 173435
% 192.05/192.51 Inuse: 1646
% 192.05/192.51 Deleted: 3286
% 192.05/192.51 Deletedinuse: 31
% 192.05/192.51
% 192.05/192.51 Resimplifying inuse:
% 192.05/192.51 Done
% 192.05/192.51
% 192.05/192.51
% 192.05/192.51 Intermediate Status:
% 192.05/192.52 Generated: 893870
% 192.05/192.52 Kept: 176051
% 192.05/192.52 Inuse: 1656
% 192.05/192.52 Deleted: 3286
% 192.05/192.52 Deletedinuse: 31
% 192.05/192.52
% 192.05/192.52 Resimplifying inuse:
% 192.05/192.52 Done
% 192.05/192.52
% 192.05/192.52
% 192.05/192.52 Intermediate Status:
% 192.05/192.52 Generated: 913506
% 192.05/192.52 Kept: 178199
% 192.05/192.52 Inuse: 1661
% 192.05/192.52 Deleted: 3286
% 192.05/192.52 Deletedinuse: 31
% 192.05/192.52
% 192.05/192.52 Resimplifying inuse:
% 192.05/192.52 Done
% 192.05/192.52
% 192.05/192.52
% 192.05/192.52 Intermediate Status:
% 192.05/192.52 Generated: 933283
% 192.05/192.52 Kept: 180377
% 192.05/192.52 Inuse: 1666
% 192.05/192.52 Deleted: 3286
% 192.05/192.52 Deletedinuse: 31
% 192.05/192.52
% 192.05/192.52 Resimplifying inuse:
% 192.05/192.52 Done
% 192.05/192.52
% 192.05/192.52
% 192.05/192.52 Intermediate Status:
% 192.05/192.52 Generated: 955524
% 192.05/192.52 Kept: 183438
% 192.05/192.52 Inuse: 1676
% 192.05/192.52 Deleted: 3286
% 192.05/192.52 Deletedinuse: 31
% 192.05/192.52
% 192.05/192.52 Resimplifying inuse:
% 192.05/192.52 Done
% 192.05/192.52
% 192.05/192.52
% 192.05/192.52 Intermediate Status:
% 192.05/192.52 Generated: 975311
% 192.05/192.52 Kept: 185804
% 192.05/192.52 Inuse: 1681
% 192.05/192.52 Deleted: 3286
% 192.05/192.52 Deletedinuse: 31
% 192.05/192.52
% 192.05/192.52 Resimplifying inuse:
% 192.05/192.52 Done
% 192.05/192.52
% 192.05/192.52 Resimplifying clauses:
% 192.05/192.52 Done
% 192.05/192.52
% 192.05/192.52
% 192.05/192.52 Intermediate Status:
% 192.05/192.52 Generated: 986959
% 192.05/192.52 Kept: 188333
% 192.05/192.52 Inuse: 1686
% 192.05/192.52 Deleted: 3308
% 192.05/192.52 Deletedinuse: 31
% 192.05/192.52
% 192.05/192.52 Resimplifying inuse:
% 192.05/192.52 Done
% 192.05/192.52
% 192.05/192.52 Resimplifying inuse:
% 192.05/192.52 Done
% 192.05/192.52
% 192.05/192.52
% 192.05/192.52 Intermediate Status:
% 192.05/192.52 Generated: 998452
% 192.05/192.52 Kept: 191035
% 192.05/192.52 Inuse: 1701
% 192.05/192.52 Deleted: 3308
% 192.05/192.52 Deletedinuse: 31
% 192.05/192.52
% 192.05/192.52 Resimplifying inuse:
% 192.05/192.52 Done
% 192.05/192.52
% 192.05/192.52
% 192.05/192.52 Intermediate Status:
% 192.05/192.52 Generated: 1019798
% 192.05/192.52 Kept: 193786
% 192.05/192.52 Inuse: 1706
% 192.05/192.52 Deleted: 3308
% 192.05/192.52 Deletedinuse: 31
% 192.05/192.52
% 192.05/192.52 Resimplifying inuse:
% 192.05/192.52 Done
% 192.05/192.52
% 192.05/192.52 Resimplifying inuse:
% 192.05/192.52 Done
% 192.05/192.52
% 192.05/192.52
% 192.05/192.52 Intermediate Status:
% 192.05/192.52 Generated: 1042101
% 192.05/192.52 Kept: 202044
% 192.05/192.52 Inuse: 1716
% 192.05/192.52 Deleted: 3309
% 192.05/192.52 Deletedinuse: 32
% 192.05/192.52
% 192.05/192.52 Resimplifying inuse:
% 192.05/192.52 Done
% 192.05/192.52
% 192.05/192.52
% 192.05/192.52 Intermediate Status:
% 192.05/192.52 Generated: 1061795
% 192.05/192.52 Kept: 205045
% 192.05/192.52 Inuse: 1717
% 192.05/192.52 Deleted: 3311
% 192.05/192.52 Deletedinuse: 34
% 192.05/192.52
% 192.05/192.52 Resimplifying inuse:
% 192.05/192.52 Done
% 192.05/192.52
% 192.05/192.52 Resimplifying clauses:
% 192.05/192.52 Done
% 192.05/192.52
% 192.05/192.52 Resimplifying inuse:
% 192.05/192.52 Done
% 192.05/192.52
% 192.05/192.52
% 192.05/192.52 Intermediate Status:
% 192.05/192.52 Generated: 1224319
% 192.05/192.52 Kept: 207080
% 192.05/192.52 Inuse: 1796
% 192.05/192.52 Deleted: 14771
% 192.05/192.52 Deletedinuse: 329
% 192.05/192.52
% 192.05/192.52 Resimplifying inuse:
% 192.05/192.52 Done
% 192.05/192.52
% 192.05/192.52 Resimplifying inuse:
% 192.05/192.52 Done
% 192.05/192.52
% 192.05/192.52
% 192.05/192.52 Intermediate Status:
% 192.05/192.52 Generated: 1344646
% 192.05/192.52 Kept: 209082
% 192.05/192.52 Inuse: 1849
% 192.05/192.52 Deleted: 14771
% 192.05/192.52 Deletedinuse: 329
% 192.05/192.52
% 192.05/192.52 Resimplifying inuse:
% 192.05/192.52 Done
% 192.05/192.52
% 192.05/192.52 Resimplifying inuse:
% 192.05/192.52 Done
% 192.05/192.52
% 192.05/192.52
% 192.05/192.52 Intermediate Status:
% 192.05/192.52 Generated: 1432409
% 192.05/192.52 Kept: 211137
% 192.05/192.52 Inuse: 1895
% 192.05/192.52 DeleteCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------