TSTP Solution File: LCL848-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL848-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sun Jul 17 07:58:46 EDT 2022
% Result : Unsatisfiable 168.83s 169.37s
% Output : Refutation 168.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL848-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Mon Jul 4 04:59:42 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.87/1.28 *** allocated 10000 integers for termspace/termends
% 0.87/1.28 *** allocated 10000 integers for clauses
% 0.87/1.28 *** allocated 10000 integers for justifications
% 0.87/1.28 *** allocated 15000 integers for termspace/termends
% 0.87/1.28 Bliksem 1.12
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 Automatic Strategy Selection
% 0.87/1.28
% 0.87/1.28 Clauses:
% 0.87/1.28 [
% 0.87/1.28 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.87/1.28 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.28 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T )
% 0.87/1.28 , X ), ~( 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.28 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.87/1.28 , X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.87/1.28 , X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.87/1.28 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.87/1.28 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' )
% 0.87/1.28 ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.87/1.28 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.87/1.28 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.28 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.28 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.87/1.28 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.87/1.28 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.87/1.28 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 0.87/1.28 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.87/1.28 , 'tc_nat' ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.28 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.87/1.28 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ), ~( 'c_lessequals'( Z
% 0.87/1.28 , Y, 'tc_nat' ) ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.87/1.28 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.87/1.28 ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 0.87/1.28 , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' )
% 0.87/1.28 , 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.87/1.28 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'c_lessequals'( 'c_Suc'( X ), X, 'tc_nat' ) ) ],
% 0.87/1.28 [ 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ), ~( 'c_lessequals'( X, Y,
% 0.87/1.28 'tc_nat' ) ) ],
% 0.87/1.28 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ), Y,
% 0.87/1.28 'tc_nat' ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.87/1.28 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.87/1.28 ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( T ), X ),
% 0.87/1.28 'c_Power_Opower__class_Opower'( Z, 'c_Suc'( T ), X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.87/1.28 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.87/1.28 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.87/1.28 'c_lessequals'( Z, T, X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.87/1.28 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.87/1.28 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.87/1.28 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.28 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.28 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.87/1.28 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.87/1.28 'c_lessequals'( Z, T, X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.28 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.28 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.87/1.28 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.87/1.28 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.87/1.28 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.87/1.28 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.87/1.28 'tc_nat' ) ) ],
% 0.87/1.28 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.87/1.28 'tc_nat' ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.28 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.28 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 , X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.87/1.28 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.87/1.28 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.87/1.28 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.28 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 0.87/1.28 , Y, 'tc_nat' ) ) ],
% 0.87/1.28 [ =( 'c_List_Oset'( 'c_List_Orev'( X, Y ), Y ), 'c_List_Oset'( X, Y ) )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.87/1.28 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.28 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.87/1.28 'tc_nat' ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 0.87/1.28 ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.87/1.28 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.87/1.28 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 0.87/1.28 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.87/1.28 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.87/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat'
% 0.87/1.28 ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ],
% 0.87/1.28 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.87/1.28 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.87/1.28 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.87/1.28 ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ],
% 0.87/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y
% 0.87/1.28 , X, 'tc_nat' ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.87/1.28 Y, T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X )
% 0.87/1.28 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.87/1.28 'c_lessequals'( T, Z, 'tc_nat' ) ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.87/1.28 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.87/1.28 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.87/1.28 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.87/1.28 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.87/1.28 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.87/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X, Y,
% 0.87/1.28 'tc_nat' ) ) ],
% 0.87/1.28 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_lessequals'( X, Y,
% 0.87/1.28 'tc_nat' ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.87/1.28 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Nat_Osemiring__1__class_Oof__nat'(
% 0.87/1.28 Y, X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.87/1.28 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~( 'c_lessequals'( Y,
% 0.87/1.28 Z, 'tc_nat' ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.87/1.28 ), Z ), Y ) ],
% 0.87/1.28 [ 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( Y, Z, T ), 'c_List_Oappend'(
% 0.87/1.28 Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z, U, T ) ) ],
% 0.87/1.28 [ ~( 'c_ListOrder_Ostep1'( X, Y, Z, T ) ), 'c_ListOrder_Ostep1'( X,
% 0.87/1.28 'c_List_Oappend'( Y, U, T ), 'c_List_Oappend'( Z, U, T ), T ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.87/1.28 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.87/1.28 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.87/1.28 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.28 [ 'c_lessequals'( X, 'c_List_Olist_Olist__size'( Y, Z, T ), 'tc_nat' ),
% 0.87/1.28 ~( 'c_lessequals'( X, hAPP( Y, U ), 'tc_nat' ) ), ~( 'c_in'( U,
% 0.87/1.28 'c_List_Oset'( Z, T ), T ) ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.87/1.28 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.87/1.28 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.87/1.28 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.87/1.28 [ ~( 'c_lessequals'( X, X, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X,
% 0.87/1.28 'c_Suc'( X ), 'tc_nat' ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.87/1.28 'tc_nat' ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.87/1.28 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.87/1.28 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.28 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.87/1.28 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.87/1.28 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.28 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.87/1.28 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.28 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.87/1.28 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.87/1.28 Y, T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X )
% 0.87/1.28 ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ) ],
% 0.87/1.28 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.87/1.28 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.87/1.28 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.87/1.28 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.87/1.28 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.87/1.28 'tc_nat' ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.28 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.28 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.28 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.28 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y
% 0.87/1.28 ), 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.28 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.28 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 0.87/1.28 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.87/1.28 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.87/1.28 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 0.87/1.28 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.28 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.28 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.28 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.87/1.28 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ),
% 0.87/1.28 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.87/1.28 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.87/1.28 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.87/1.28 [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 'tc_nat' ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.87/1.28 'c_lessequals'( Z, Y, X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z
% 0.87/1.28 ), X ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.87/1.28 'c_in'( Z, 'c_List_Oset'( T, X ), X ) ), ~(
% 0.87/1.28 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( Y, T, X ), X ) )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.87/1.28 'c_in'( Z, 'c_List_Oset'( T, X ), X ) ), ~( 'c_in'( Y, 'c_List_Oset'( U,
% 0.87/1.28 X ), X ) ), ~( 'c_List_Olinorder__class_Osorted'( 'c_List_Oappend'( U, T
% 0.87/1.28 , X ), X ) ) ],
% 0.87/1.28 [ =( 'c_List_Olength__unique'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.87/1.28 'c_Suc'( 'c_List_Olength__unique'( Y, Z ) ) ), 'c_in'( X, 'c_List_Oset'(
% 0.87/1.28 Y, Z ), Z ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 , X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.28 , X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.87/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.87/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.87/1.28 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.87/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.87/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.87/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.28 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.87/1.28 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 0.87/1.28 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.28 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.87/1.28 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 0.87/1.28 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.87/1.28 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.87/1.28 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.87/1.28 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.87/1.28 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.87/1.28 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.87/1.28 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.87/1.28 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.87/1.28 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.87/1.28 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.87/1.28 , Y ), 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 0.87/1.28 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.87/1.28 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.87/1.28 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.87/1.28 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 0.87/1.28 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.87/1.28 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.87/1.28 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 0.87/1.28 [ 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ), =( X, T ), ~( 'c_in'( X,
% 0.87/1.28 'c_List_Oset'( 'c_List_Olist_OCons'( T, Y, Z ), Z ), Z ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.87/1.28 , X ), X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.87/1.28 , X ), X ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.87/1.28 'c_Suc'( X ), 'tc_nat' ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.87/1.28 'c_Suc'( X ), 'tc_nat' ) ],
% 0.87/1.28 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.87/1.28 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 0.87/1.28 [ hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~( hBOOL( hAPP( X,
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ) ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.87/1.28 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.87/1.28 'tc_nat' ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.87/1.28 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.87/1.28 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.87/1.28 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.87/1.28 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.87/1.28 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.87/1.28 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 0.87/1.28 ), Y, X ) ), =( Z, T ) ],
% 0.87/1.28 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Omap'( U, Y, Z, T ) ) ),
% 0.87/1.28 =( hAPP( X, W ), hAPP( U, W ) ), ~( 'c_in'( W, 'c_List_Oset'( Y, Z ), Z )
% 0.87/1.28 ) ],
% 0.87/1.28 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist_OCons'( X, Y, Z ),
% 0.87/1.28 'tc_List_Olist'( Z ) ), 'c_Suc'( 'c_Nat_Osize__class_Osize'( Y,
% 0.87/1.28 'tc_List_Olist'( Z ) ) ) ) ],
% 0.87/1.28 [ =( 'c_Suc'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ) ),
% 0.87/1.28 'c_Nat_Osize__class_Osize'( 'c_List_Olist_OCons'( Z, X, Y ),
% 0.87/1.28 'tc_List_Olist'( Y ) ) ) ],
% 0.87/1.28 [ ~( 'c_lessequals'( 'c_Nat_Osize__class_Osize'( 'c_List_Olist_OCons'( X
% 0.87/1.28 , Y, Z ), 'tc_List_Olist'( Z ) ), 'c_Nat_Osize__class_Osize'( Y,
% 0.87/1.28 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 0.87/1.28 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.87/1.28 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.87/1.28 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.87/1.28 [ =( 'c_List_Ohd'( 'c_List_Oappend'( X, Y, Z ), Z ), 'c_List_Ohd'( X, Z
% 0.87/1.28 ) ), =( X, 'c_List_Olist_ONil'( Z ) ) ],
% 0.87/1.28 [ =( 'c_List_Ohd'( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), Y, X ), X
% 0.87/1.28 ), 'c_List_Ohd'( Y, X ) ) ],
% 0.87/1.28 [ 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ), ~( 'c_in'( X, 'c_List_Oset'(
% 0.87/1.28 'c_List_Otake'( T, Y, Z ), Z ), Z ) ) ],
% 0.87/1.28 [ 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ), ~( 'c_in'( X, 'c_List_Oset'(
% 0.87/1.28 'c_List_Odrop'( T, Y, Z ), Z ), Z ) ) ],
% 0.87/1.28 [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_Suc'( T ), Z ),
% 0.87/1.28 'c_List_Onth'( Y, T, Z ) ) ],
% 0.87/1.28 [ =( 'c_List_Otake'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y, Z, T ), T )
% 0.87/1.28 , 'c_List_Olist_OCons'( Y, 'c_List_Otake'( X, Z, T ), T ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, 'c_List_Oset'(
% 0.87/1.28 'c_List_OtakeWhile'( X, Z, T ), T ), T ) ) ],
% 0.87/1.28 [ 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ), ~( 'c_in'( X, 'c_List_Oset'(
% 0.87/1.28 'c_List_OtakeWhile'( T, Y, Z ), Z ), Z ) ) ],
% 0.87/1.28 [ ~( =( 'c_List_OtakeWhile'( X, Y, Z ), Y ) ), hBOOL( hAPP( X, T ) ),
% 0.87/1.28 ~( 'c_in'( T, 'c_List_Oset'( Y, Z ), Z ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, 'c_List_Oset'( Z, T ), T ) ), ~(
% 0.87/1.28 'c_List_Olistsp'( X, Z, T ) ) ],
% 0.87/1.28 [ =( X, Y ), ~( 'c_in'( X, 'c_List_Oset'( 'c_List_Oreplicate'( Z, Y, T )
% 0.87/1.28 , T ), T ) ) ],
% 0.87/1.28 [ =( 'c_List_Onth'( 'c_List_Orev'( X, Y ), Z, Y ), 'c_List_Onth'( X,
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( 'c_Nat_Osize__class_Osize'( X,
% 0.87/1.28 'tc_List_Olist'( Y ) ), 'c_Suc'( Z ), 'tc_nat' ), Y ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Z, 'c_Nat_Osize__class_Osize'( X,
% 0.87/1.28 'tc_List_Olist'( Y ) ), 'tc_nat' ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( 'c_List_Onth'(
% 0.87/1.28 Y, Z, X ), 'c_List_Onth'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T,
% 0.87/1.28 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_Nat_Osize__class_Osize'(
% 0.87/1.28 Y, 'tc_List_Olist'( X ) ), 'tc_nat' ) ), ~(
% 0.87/1.28 'c_List_Olinorder__class_Osorted'( Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( 'c_List_Onth'(
% 0.87/1.28 Y, Z, X ), 'c_List_Onth'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T
% 0.87/1.28 , 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( X ) ), 'tc_nat' ) ),
% 0.87/1.28 ~( 'c_lessequals'( Z, T, 'tc_nat' ) ), ~(
% 0.87/1.28 'c_List_Olinorder__class_Osorted'( Y, X ) ) ],
% 0.87/1.28 [ =( 'c_List_Odrop'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y, Z, T ), T )
% 0.87/1.28 , 'c_List_Odrop'( X, Z, T ) ) ],
% 0.87/1.28 [ =( 'c_List_Otake'( X, Y, Z ), Y ), ~( 'c_lessequals'(
% 0.87/1.28 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.87/1.28 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( Y,
% 0.87/1.28 'c_List_Olist_OCons'( Z, T, X ), X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.87/1.28 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( Y,
% 0.87/1.28 'c_List_Olist_OCons'( Z, T, X ), X ), X ), ~(
% 0.87/1.28 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( Z, T, X ), X ) )
% 0.87/1.28 , ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.28 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Odrop'( X, Y, Z ),
% 0.87/1.28 'tc_List_Olist'( Z ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.28 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ =( 'c_List_Olist__update'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_Suc'( T
% 0.87/1.28 ), U, Z ), 'c_List_Olist_OCons'( X, 'c_List_Olist__update'( Y, T, U, Z )
% 0.87/1.28 , Z ) ) ],
% 0.87/1.28 [ =( 'c_List_Ohd'( 'c_List_Oreplicate'( X, Y, Z ), Z ), Y ), =( X,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.28 [ =( 'c_List_Oreplicate'( 'c_Suc'( X ), Y, Z ), 'c_List_Olist_OCons'( Y
% 0.87/1.28 , 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ],
% 0.87/1.28 [ =( 'c_List_Olist__update'( X, Y, Z, T ), X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T ) ), Y, 'tc_nat' ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ 'c_lessequals'( 'c_Nat_Osize__class_Osize'( 'c_List_OtakeWhile'( X, Y
% 0.87/1.28 , Z ), 'tc_List_Olist'( Z ) ), 'c_Nat_Osize__class_Osize'( Y,
% 0.87/1.28 'tc_List_Olist'( Z ) ), 'tc_nat' ) ],
% 0.87/1.28 [ 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ), ~( 'c_in'( X, 'c_List_Oset'(
% 0.87/1.28 'c_List_Obutlast'( Y, Z ), Z ), Z ) ) ],
% 0.87/1.28 [ =( 'c_List_Odrop'( X, 'c_List_Otake'( Y, Z, T ), T ), 'c_List_Otake'(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'c_List_Odrop'( X, Z, T )
% 0.87/1.28 , T ) ) ],
% 0.87/1.28 [ 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ), ~( 'c_in'( X, 'c_List_Oset'(
% 0.87/1.28 'c_List_Osublist'( Y, T, Z ), Z ), Z ) ) ],
% 0.87/1.28 [ ~( 'c_in'( X, 'c_List_Oset'( 'c_List_Osublist'( Y, Z, T ), T ), T ) )
% 0.87/1.28 , 'c_in'( X, 'c_List_Oset'( Y, T ), T ) ],
% 0.87/1.28 [ =( 'c_List_Odrop'( X, 'c_List_Oreplicate'( Y, Z, T ), T ),
% 0.87/1.28 'c_List_Oreplicate'( 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), Z, T
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.28 'c_List_Olinorder__class_Oinsort__key'( Y, Z, 'c_List_Olist_OCons'( T, U
% 0.87/1.28 , W ), W, X ), 'c_List_Olist_OCons'( Z, 'c_List_Olist_OCons'( T, U, W ),
% 0.87/1.28 W ) ), ~( 'c_lessequals'( hAPP( Y, Z ), hAPP( Y, T ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.28 'c_List_Olinorder__class_Oinsort__key'( Y, Z, 'c_List_Olist_OCons'( T, U
% 0.87/1.28 , W ), W, X ), 'c_List_Olist_OCons'( T,
% 0.87/1.28 'c_List_Olinorder__class_Oinsort__key'( Y, Z, U, W, X ), W ) ),
% 0.87/1.28 'c_lessequals'( hAPP( Y, Z ), hAPP( Y, T ), X ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Nat_Osize__class_Osize'(
% 0.87/1.28 'c_List_Olinorder__class_Oinsort__key'( Y, Z, T, U, X ), 'tc_List_Olist'(
% 0.87/1.28 U ) ), 'c_Suc'( 'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( U ) ) ) )
% 0.87/1.28 ],
% 0.87/1.28 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.87/1.28 'c_lessequals'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) )
% 0.87/1.28 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.87/1.28 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ),
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.87/1.28 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.28 , T, X ) ) ), =( Y, Z ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.87/1.28 , T, X ) ) ), =( Z, T ) ],
% 0.87/1.28 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y
% 0.87/1.28 , Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), =( X, Z ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.87/1.28 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Suc'( Y ), X ), hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 0.87/1.28 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ) ],
% 0.87/1.28 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), X,
% 0.87/1.28 'tc_nat' ) ],
% 0.87/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.87/1.28 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 0.87/1.28 , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.87/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.87/1.28 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.87/1.28 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.87/1.28 ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z
% 0.87/1.28 , 'tc_nat' ) ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 0.87/1.28 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.87/1.28 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Suc'( Y )
% 0.87/1.28 , X, 'tc_nat' ) ) ],
% 0.87/1.28 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_lessequals'( Y, X,
% 0.87/1.28 'tc_nat' ) ],
% 0.87/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 0.87/1.28 X ), Y, 'tc_nat' ), 'c_Suc'( Z ), 'tc_nat' ),
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.87/1.28 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.87/1.28 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.87/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.87/1.28 , 'tc_nat' ), 'tc_nat' ), Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ =( X, 'c_Suc'( Y ) ), 'c_lessequals'( X, Y, 'tc_nat' ), ~(
% 0.87/1.28 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.87/1.28 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.87/1.28 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.87/1.28 'c_Power_Opower__class_Opower'( T, 'c_Suc'( Z ), X ) ) ), =( Y, T ), ~(
% 0.87/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.87/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.28 [ 'c_in'( 'c_List_Ohd'( X, Y ), 'c_List_Oset'( X, Y ), Y ), =( X,
% 0.87/1.28 'c_List_Olist_ONil'( Y ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.87/1.28 , Y ), Z ), Z, X ), Y ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.87/1.28 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( T, Y
% 0.87/1.28 , X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.87/1.28 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( T, Y
% 0.87/1.28 , X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.87/1.28 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.87/1.28 Y, T, X ), X ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.87/1.28 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.87/1.28 ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.87/1.28 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 ) ), =( Y, Z ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.28 ) ), =( Y, Z ) ],
% 0.87/1.28 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ],
% 0.87/1.28 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.87/1.28 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.87/1.28 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 0.87/1.28 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.87/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_nat' ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.28 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.87/1.28 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.87/1.28 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.87/1.28 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.28 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' )
% 0.87/1.28 ],
% 0.87/1.28 [ =( 'c_List_Ohd'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), X ) ],
% 0.87/1.28 [ 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 0.87/1.28 'c_List_Olist_OCons'( Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z, U, T
% 0.87/1.28 ) ) ],
% 0.87/1.28 [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), hBOOL( hAPP( hAPP( X, U ), W ) ),
% 0.87/1.28 ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( U, Y, T ),
% 0.87/1.28 'c_List_Olist_OCons'( W, Z, T ), T ) ) ],
% 0.87/1.28 [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), =( Z, Y ), ~( 'c_ListOrder_Ostep1'(
% 0.87/1.28 X, 'c_List_Olist_OCons'( U, Y, T ), 'c_List_Olist_OCons'( W, Z, T ), T )
% 0.87/1.28 ) ],
% 0.87/1.28 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), 'c_ListOrder_Ostep1'( X,
% 0.87/1.28 'c_List_Olist_OCons'( Y, T, U ), 'c_List_Olist_OCons'( Z, T, U ), U ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U, 'c_List_Olist_OCons'(
% 0.87/1.28 Y, T, W ), 'c_List_Olist_OCons'( X, Z, W ), W ) ) ],
% 0.87/1.28 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, Y ), X ) ), ~( 'c_ListOrder_Ostep1'(
% 0.87/1.28 Z, 'c_List_Olist_OCons'( Y, T, U ), 'c_List_Olist_OCons'( X, W, U ), U )
% 0.87/1.28 ) ],
% 0.87/1.28 [ ~( 'c_ListOrder_Ostep1'( X, Y, 'c_List_Olist_ONil'( Z ), Z ) ) ],
% 0.87/1.28 [ ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_ONil'( Y ), Z, Y ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( 'c_List_Onth'(
% 0.87/1.28 Y, Z, X ), 'c_List_Onth'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z
% 0.87/1.28 , 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( X ) ), 'tc_nat' ) ),
% 0.87/1.28 ~( 'c_lessequals'( T, Z, 'tc_nat' ) ), ~(
% 0.87/1.28 'c_List_Olinorder__class_Osorted'( 'c_List_Orev'( Y, X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.87/1.28 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.87/1.28 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.87/1.28 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.28 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.87/1.28 , Z ), T ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.28 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.87/1.28 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.87/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.87/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 0.87/1.28 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.87/1.28 Z, T, X ), X ) ) ],
% 0.87/1.28 [ 'c_in'( X, 'c_List_Oset'( 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( X
% 0.87/1.28 , Z, T ), T ), T ), T ), 'c_in'( X, 'c_List_Oset'( Y, T ), T ) ],
% 0.87/1.28 [ 'c_in'( X, 'c_List_Oset'( 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( X
% 0.87/1.28 , Z, T ), T ), T ), T ), 'c_in'( X, 'c_List_Oset'( Z, T ), T ) ],
% 0.87/1.28 [ 'c_in'( X, 'c_List_Oset'( 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( X
% 0.87/1.28 , Z, T ), T ), T ), T ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.87/1.28 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.87/1.28 X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.87/1.28 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.87/1.28 X ), T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.87/1.28 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.87/1.28 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.87/1.28 X ), T, X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.87/1.28 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.87/1.28 [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U, 'c_List_Oappend'( X
% 0.87/1.28 , 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W ), W ),
% 0.87/1.28 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( T, 'c_List_Olist_ONil'( W ), W
% 0.87/1.28 ), W ), W ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( 'c_ListOrder_Ostep1'(
% 0.87/1.28 X, 'c_List_Oappend'( T, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( U )
% 0.87/1.28 , U ), U ), 'c_List_Oappend'( W, 'c_List_Olist_OCons'( Z,
% 0.87/1.28 'c_List_Olist_ONil'( U ), U ), U ), U ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_ListOrder_Ostep1'( X, T, U, W ),
% 0.87/1.28 ~( 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( T, 'c_List_Olist_OCons'( Y
% 0.87/1.28 , 'c_List_Olist_ONil'( W ), W ), W ), 'c_List_Oappend'( U,
% 0.87/1.28 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W ), W ), W ) ) ],
% 0.87/1.28 [ =( X, Y ), 'c_ListOrder_Ostep1'( Z, X, Y, T ), ~( 'c_ListOrder_Ostep1'(
% 0.87/1.28 Z, 'c_List_Oappend'( X, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( T )
% 0.87/1.28 , T ), T ), 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( W,
% 0.87/1.28 'c_List_Olist_ONil'( T ), T ), T ), T ) ) ],
% 0.87/1.28 [ =( 'c_List_Ohd'( X, Y ), 'c_List_Onth'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.28 'tc_nat' ), Y ) ), =( X, 'c_List_Olist_ONil'( Y ) ) ],
% 0.87/1.28 [ =( 'c_List_OtakeWhile'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.87/1.28 'c_List_OtakeWhile'( X, Y, T ) ), hBOOL( hAPP( X, U ) ), ~( 'c_in'( U,
% 0.87/1.28 'c_List_Oset'( Y, T ), T ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.87/1.28 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 0.87/1.28 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Z, 'tc_Lambda_OdB',
% 0.87/1.28 'tc_Lambda_OdB' ) ) ), ~( 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', Y, Z,
% 0.87/1.28 'tc_Lambda_OdB' ) ) ],
% 0.87/1.28 [ ~( =( 'c_List_Odrop'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ),
% 0.87/1.28 'c_lessequals'( 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), X
% 0.87/1.28 , 'tc_nat' ) ],
% 0.87/1.28 [ =( 'c_List_Odrop'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ), ~(
% 0.87/1.28 'c_lessequals'( 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), X
% 0.87/1.28 , 'tc_nat' ) ) ],
% 0.87/1.28 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) ),
% 0.87/1.28 =( 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z ) )
% 0.87/1.28 , X, Z ), T ), 'c_lessequals'( 'c_Nat_Osize__class_Osize'( X,
% 0.87/1.28 'tc_List_Olist'( Z ) ), 'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z
% 0.87/1.28 ) ), 'tc_nat' ) ],
% 0.87/1.28 [ =( 'c_List_Otake'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.87/1.28 'c_List_Oappend'( 'c_List_Otake'( X, Y, T ), 'c_List_Otake'(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( X, 'c_Nat_Osize__class_Osize'( Y,
% 0.87/1.28 'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ],
% 0.87/1.28 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) ),
% 0.87/1.28 =( X, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z )
% 0.87/1.28 ), T, Z ) ), ~( 'c_lessequals'( 'c_Nat_Osize__class_Osize'( X,
% 0.87/1.28 'tc_List_Olist'( Z ) ), 'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z
% 0.87/1.28 ) ), 'tc_nat' ) ) ],
% 0.87/1.28 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) ),
% 0.87/1.28 =( Y, 'c_List_Oappend'( 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( X,
% 0.87/1.28 'tc_List_Olist'( Z ) ), T, Z ), U, Z ) ), ~( 'c_lessequals'(
% 0.87/1.28 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z ) ),
% 0.87/1.28 'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) ),
% 0.87/1.28 =( 'c_List_Oappend'( 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( T,
% 0.87/1.28 'tc_List_Olist'( Z ) ), X, Z ), Y, Z ), U ), 'c_lessequals'(
% 0.87/1.28 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z ) ),
% 0.87/1.28 'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ],
% 0.87/1.28 [ =( 'c_List_Odrop'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.87/1.28 'c_List_Oappend'( 'c_List_Odrop'( X, Y, T ), 'c_List_Odrop'(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( X, 'c_Nat_Osize__class_Osize'( Y,
% 0.87/1.28 'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ],
% 0.87/1.28 [ 'c_in'( X, 'c_List_Oset'( 'c_List_Obutlast'( 'c_List_Oappend'( Y, Z, T
% 0.87/1.28 ), T ), T ), T ), ~( 'c_in'( X, 'c_List_Oset'( 'c_List_Obutlast'( Z, T )
% 0.87/1.28 , T ), T ) ) ],
% 0.87/1.28 [ 'c_in'( X, 'c_List_Oset'( 'c_List_Obutlast'( 'c_List_Oappend'( Y, Z, T
% 0.87/1.28 ), T ), T ), T ), ~( 'c_in'( X, 'c_List_Oset'( 'c_List_Obutlast'( Y, T )
% 0.87/1.28 , T ), T ) ) ],
% 0.87/1.28 [ 'c_in'( 'c_List_Olast'( X, Y ), 'c_List_Oset'( X, Y ), Y ), =( X,
% 0.87/1.28 'c_List_Olist_ONil'( Y ) ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( X, 'c_List_Olist_Olist__size'( Y, Z, T ),
% 0.87/1.28 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, hAPP( Y, U ), 'tc_nat' ) ),
% 0.87/1.28 ~( 'c_in'( U, 'c_List_Oset'( Z, T ), T ) ) ],
% 0.87/1.28 [ =( 'c_List_OtakeWhile'( X, Y, Z ), 'c_List_Otake'( T, Y, Z ) ), hBOOL(
% 0.87/1.28 hAPP( X, 'c_List_Onth'( Y, T, Z ) ) ), ~( hBOOL( hAPP( X, 'c_List_Onth'(
% 0.87/1.28 Y, 'c_List_Osko__List__XtakeWhile__eq__take__P__nth__1__1'( X, T, Y, Z )
% 0.87/1.28 , Z ) ) ) ) ],
% 0.87/1.28 [ =( 'c_List_Ohd'( 'c_List_Orev'( X, Y ), Y ), 'c_List_Olast'( X, Y ) )
% 0.87/1.28 , =( X, 'c_List_Olist_ONil'( Y ) ) ],
% 0.87/1.28 [ =( 'c_List_Olast'( 'c_List_Orev'( X, Y ), Y ), 'c_List_Ohd'( X, Y ) )
% 0.87/1.28 , =( X, 'c_List_Olist_ONil'( Y ) ) ],
% 0.87/1.28 [ =( 'c_List_Olength__unique'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.87/1.28 'c_List_Olength__unique'( Y, Z ) ), ~( 'c_in'( X, 'c_List_Oset'( Y, Z ),
% 0.87/1.28 Z ) ) ],
% 0.87/1.28 [ =( 'c_List_Oappend'( 'c_List_Otake'( X, Y, Z ), 'c_List_Olist_OCons'(
% 0.87/1.28 'c_List_Ohd'( 'c_List_Odrop'( X, Y, Z ), Z ), 'c_List_Olist_ONil'( Z ), Z
% 0.87/1.28 ), Z ), 'c_List_Otake'( 'c_Suc'( X ), Y, Z ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( X, 'c_Nat_Osize__class_Osize'( Y,
% 0.87/1.28 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.87/1.28 'c_List_Olinorder__class_Osorted'( 'c_List_Omap'( Y,
% 0.87/1.28 'c_List_Olinorder__class_Oinsort__key'( Y, Z, T, U, X ), U, X ), X ), ~(
% 0.87/1.28 'c_List_Olinorder__class_Osorted'( 'c_List_Omap'( Y, T, U, X ), X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.87/1.28 'c_List_Olinorder__class_Osorted'( 'c_List_Omap'( Y, Z, T, X ), X ), ~(
% 0.87/1.28 'c_List_Olinorder__class_Osorted'( 'c_List_Omap'( Y,
% 0.87/1.28 'c_List_Olinorder__class_Oinsort__key'( Y, U, Z, T, X ), T, X ), X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist__update'( X, Y, Z, T ),
% 0.87/1.28 'tc_List_Olist'( T ) ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T
% 0.87/1.28 ) ) ) ],
% 0.87/1.28 [ =( 'c_List_Obutlast'( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y
% 0.87/1.28 ), Y ), 'c_List_Obutlast'( X, Y ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.28 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 0.87/1.28 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 0.87/1.28 [ =( 'c_List_Olast'( 'c_List_Oreplicate'( X, Y, Z ), Z ), Y ), =( X,
% 0.87/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.28 [ =( 'c_List_Obutlast'( 'c_List_Odrop'( X, Y, Z ), Z ), 'c_List_Odrop'(
% 0.87/1.28 X, 'c_List_Obutlast'( Y, Z ), Z ) ) ],
% 0.87/1.28 [ =( 'c_List_Oappend'( 'c_List_Otake'( X, Y, Z ), 'c_List_Odrop'( X, Y,
% 0.87/1.28 Z ), Z ), Y ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.87/1.28 'c_List_Olinorder__class_Osorted'( 'c_List_OtakeWhile'( Y, Z, X ), X ),
% 0.87/1.28 ~( 'c_List_Olinorder__class_Osorted'( Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.87/1.28 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.87/1.28 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 0.87/1.28 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.87/1.28 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 0.87/1.28 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.87/1.28 [ =( X, 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'(
% 0.87/1.28 Z ) ), 'c_List_Oappend'( Y, X, Z ), Z ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.87/1.28 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ =( 'c_List_Onth'( 'c_List_OtakeWhile'( X, Y, Z ), T, Z ),
% 0.87/1.28 'c_List_Onth'( Y, T, Z ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.87/1.28 'c_Nat_Osize__class_Osize'( 'c_List_OtakeWhile'( X, Y, Z ),
% 0.87/1.28 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 0.87/1.28 [ =( 'c_List_Odrop'( X, 'c_List_Obutlast'( Y, Z ), Z ),
% 0.87/1.28 'c_List_Obutlast'( 'c_List_Odrop'( X, Y, Z ), Z ) ) ],
% 0.87/1.28 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 0.87/1.28 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.87/1.28 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 0.87/1.28 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( hAPP( hAPP( hAPP(
% 0.87/1.28 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y ), X ), Y ) ],
% 0.87/1.28 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, X, Z ) ) ],
% 0.87/1.28 [ 'c_in'( X, Y, Z ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.87/1.28 [ =( 'c_List_Onth'( 'c_List_Olist__update'( X, Y, Z, T ), U, T ),
% 0.87/1.28 'c_List_Onth'( X, U, T ) ), =( Y, U ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.28 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.87/1.28 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.28 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.87/1.28 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.28 X ), Y ), Z ) ), T ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.28 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.87/1.28 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.28 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.87/1.28 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.87/1.28 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.87/1.28 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.28 X ), Y ), Z ) ), T ) ) ],
% 0.87/1.28 [ =( 'c_List_Onth'( 'c_List_Otake'( X, Y, Z ), T, Z ), 'c_List_Onth'( Y
% 0.87/1.28 , T, Z ) ), ~( 'c_HOL_Oord__class_Oless'( T, X, 'tc_nat' ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.28 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.87/1.28 [ =( 'c_List_Otake'( X, 'c_List_Omap'( Y, Z, T, U ), U ), 'c_List_Omap'(
% 0.87/1.28 Y, 'c_List_Otake'( X, Z, T ), T, U ) ) ],
% 0.87/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.87/1.28 'c_List_Olinorder__class_Osorted'( 'c_List_Odrop'( Y, Z, X ), X ), ~(
% 0.87/1.28 'c_List_Olinorder__class_Osorted'( Z, X ) ) ],
% 0.87/1.28 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.87/1.28 ), Z ), 'c_Lambda_OdB_OVar'( X ) ), =( X, Z ), 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 Z, X, 'tc_nat' ) ],
% 0.87/1.28 [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X, 'c_List_Oappend'(
% 0.87/1.28 Y, T, Z ), Z ) ) ],
% 0.87/1.28 [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X, 'c_List_Oappend'(
% 0.87/1.28 T, Y, Z ), Z ) ) ],
% 0.87/1.28 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, 'c_Lambda_OdB_OAbs'( T ), U ),
% 0.87/1.28 hAPP( Z, T ) ) ],
% 0.87/1.28 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( hAPP(
% 0.87/1.28 'c_Lambda_Osubst', X ), Y ), Z ) ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 0.87/1.28 T ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), T ) ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_Nat_Osize__class_Osize'( Y,
% 0.87/1.28 'tc_List_Olist'( Z ) ), 'tc_nat' ) ), =( 'c_List_Olist__update'( Y, X,
% 0.87/1.28 'c_List_Onth'( Y, X, Z ), Z ), Y ) ],
% 0.87/1.28 [ =( 'c_List_Olist__update'( X, Y, Z, T ), 'c_List_Oappend'(
% 0.87/1.28 'c_List_Otake'( Y, X, T ), 'c_List_Olist_OCons'( Z, 'c_List_Odrop'(
% 0.87/1.28 'c_Suc'( Y ), X, T ), T ), T ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.28 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T ) ), 'tc_nat' ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ =( X, 'c_List_Oappend'( 'c_List_Otake'( Y, X, Z ),
% 0.87/1.28 'c_List_Olist_OCons'( 'c_List_Onth'( X, Y, Z ), 'c_List_Odrop'( 'c_Suc'(
% 0.87/1.28 Y ), X, Z ), Z ), Z ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.28 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ =( 'c_List_Otake'( 'c_Suc'( X ), Y, Z ), 'c_List_Oappend'(
% 0.87/1.28 'c_List_Otake'( X, Y, Z ), 'c_List_Olist_OCons'( 'c_List_Onth'( Y, X, Z )
% 0.87/1.28 , 'c_List_Olist_ONil'( Z ), Z ), Z ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.87/1.28 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_List_Ofoldl'(
% 0.87/1.28 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), T )
% 0.87/1.28 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP(
% 0.87/1.28 'c_Lambda_Osubst', X ), Z ), T ), 'c_List_Omap'( 'c_COMBC'( 'c_COMBC'(
% 0.87/1.28 'c_Lambda_Osubst', Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'(
% 0.87/1.28 'tc_nat', 'tc_Lambda_OdB' ) ), T, 'tc_Lambda_OdB', 'tc_nat',
% 0.87/1.28 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB'
% 0.87/1.28 , 'tc_Lambda_OdB' ) ) ],
% 0.87/1.28 [ 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', X,
% 0.87/1.28 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, X, Z ),
% 0.87/1.28 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta',
% 0.87/1.28 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ), X,
% 0.87/1.28 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ],
% 0.87/1.28 [ =( 'c_List_OtakeWhile'( X, Y, Z ), 'c_List_Otake'( T, Y, Z ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( T, 'c_Nat_Osize__class_Osize'( Y,
% 0.87/1.28 'tc_List_Olist'( Z ) ), 'tc_nat' ), ~( hBOOL( hAPP( X, 'c_List_Onth'( Y,
% 0.87/1.28 'c_List_Osko__List__XtakeWhile__eq__take__P__nth__1__1'( X, T, Y, Z ), Z
% 0.87/1.28 ) ) ) ) ],
% 0.87/1.28 [ =( 'c_List_OtakeWhile'( X, Y, Z ), 'c_List_Otake'( T, Y, Z ) ), hBOOL(
% 0.87/1.28 hAPP( X, 'c_List_Onth'( Y, T, Z ) ) ), 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_List_Osko__List__XtakeWhile__eq__take__P__nth__1__1'( X, T, Y, Z ),
% 0.87/1.28 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ],
% 0.87/1.28 [ =( 'c_List_Ohd'( 'c_List_Odrop'( X, Y, Z ), Z ), 'c_List_Onth'( Y, X,
% 0.87/1.28 Z ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Nat_Osize__class_Osize'( Y,
% 0.87/1.28 'tc_List_Olist'( Z ) ), 'tc_nat' ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ =( 'c_List_Olist_OCons'( 'c_List_Onth'( X, Y, Z ), 'c_List_Odrop'(
% 0.87/1.28 'c_Suc'( Y ), X, Z ), Z ), 'c_List_Odrop'( Y, X, Z ) ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_Nat_Osize__class_Osize'( X,
% 0.87/1.28 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 0.87/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.87/1.28 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.87/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.87/1.28 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.87/1.28 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.87/1.28 [ =( 'c_List_Orev'( 'c_List_Odrop'( X, Y, Z ), Z ), 'c_List_Otake'(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( 'c_Nat_Osize__class_Osize'( Y,
% 0.87/1.28 'tc_List_Olist'( Z ) ), X, 'tc_nat' ), 'c_List_Orev'( Y, Z ), Z ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ =( 'c_List_Orev'( 'c_List_Otake'( X, Y, Z ), Z ), 'c_List_Odrop'(
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( 'c_Nat_Osize__class_Osize'( Y,
% 0.87/1.28 'tc_List_Olist'( Z ) ), X, 'tc_nat' ), 'c_List_Orev'( Y, Z ), Z ) ) ]
% 0.87/1.28 ,
% 0.87/1.28 [ =( 'c_List_OtakeWhile'( X, Y, Z ), 'c_List_Otake'( T, Y, Z ) ), hBOOL(
% 0.87/1.28 hAPP( X, 'c_List_Onth'( Y, T, Z ) ) ), 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_List_Osko__List__XtakeWhile__eq__take__P__nth__1__1'( X, T, Y, Z ), T
% 0.87/1.28 , 'tc_nat' ) ],
% 0.87/1.28 [ ~( =( X, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X,
% 0.87/1.28 'tc_List_Olist'( Y ) ), Z, Y ) ) ), =( 'c_List_Oappend'( X,
% 0.87/1.28 'c_List_Oappend'( 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( X,
% 0.87/1.28 'tc_List_Olist'( Y ) ), Z, Y ), T, Y ), Y ), 'c_List_Oappend'( Z, T, Y )
% 0.87/1.28 ), ~( 'c_lessequals'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y
% 0.87/1.28 ) ), 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y ) ), 'tc_nat' ) )
% 0.87/1.28 ],
% 0.87/1.28 [ ~( =( 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'(
% 0.87/1.28 Y ) ), Z, Y ), X ) ), 'c_lessequals'( 'c_Nat_Osize__class_Osize'( Z,
% 0.87/1.28 'tc_List_Olist'( Y ) ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y
% 0.87/1.28 ) ), 'tc_nat' ), =( 'c_List_Oappend'( Z, T, Y ), 'c_List_Oappend'( X,
% 0.87/1.28 'c_List_Oappend'( 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( X,
% 0.87/1.28 'tc_List_Olist'( Y ) ), Z, Y ), T, Y ), Y ) ) ],
% 0.87/1.28 [ =( 'c_List_OtakeWhile'( X, Y, Z ), 'c_List_Otake'( T, Y, Z ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( T, 'c_Nat_Osize__class_Osize'( Y,
% 0.87/1.28 'tc_List_Olist'( Z ) ), 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_List_Osko__List__XtakeWhile__eq__take__P__nth__1__1'( X, T, Y, Z ),
% 0.87/1.28 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ],
% 0.87/1.28 [ =( 'c_List_OtakeWhile'( X, Y, Z ), 'c_List_Otake'( T, Y, Z ) ),
% 0.87/1.28 'c_HOL_Oord__class_Oless'( T, 'c_Nat_Osize__class_Osize'( Y,
% 0.87/1.28 'tc_List_Olist'( Z ) ), 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.87/1.28 'c_List_Osko__List__XtakeWhile__eq__take__P__nth__1__1'( X, T, Y, Z ), T
% 0.87/1.28 , 'tc_nat' ) ],
% 0.87/1.28 [ =( 'c_List_Olist__update'( 'c_List_Oappend'( X, Y, Z ), T, U, Z ),
% 0.87/1.28 'c_List_Oappend'( X, 'c_List_Olist__update'( Y,
% 0.87/1.28 'c_HOL_Ominus__class_Ominus'( T, 'c_Nat_Osize__class_Osize'( X,
% 0.87/1.29 'tc_List_Olist'( Z ) ), 'tc_nat' ), U, Z ), Z ) ),
% 0.87/1.29 'c_HOL_Oord__class_Oless'( T, 'c_Nat_Osize__class_Osize'( X,
% 0.87/1.29 'tc_List_Olist'( Z ) ), 'tc_nat' ) ],
% 0.87/1.29 [ =( 'c_List_Onth'( 'c_List_Oappend'( X, Y, Z ), T, Z ), 'c_List_Onth'(
% 0.87/1.29 Y, 'c_HOL_Ominus__class_Ominus'( T, 'c_Nat_Osize__class_Osize'( X,
% 0.87/1.29 'tc_List_Olist'( Z ) ), 'tc_nat' ), Z ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.87/1.29 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ],
% 0.87/1.29 [ 'c_in'( X, 'c_List_Oset'( 'c_List_Olist__update'( Y, Z, X, T ), T ), T
% 0.87/1.29 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_Nat_Osize__class_Osize'( Y,
% 0.87/1.29 'tc_List_Olist'( T ) ), 'tc_nat' ) ) ],
% 0.87/1.29 [ 'c_in'( 'c_List_Onth'( X, Y, Z ), 'c_List_Oset'( X, Z ), Z ), ~(
% 0.87/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_Nat_Osize__class_Osize'( X,
% 0.87/1.29 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 0.87/1.29 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_Nat_Osize__class_Osize'( Y,
% 0.87/1.29 'tc_List_Olist'( Z ) ), 'tc_nat' ) ), 'c_in'( 'c_List_Onth'( Y, X, Z ),
% 0.87/1.29 'c_List_Oset'( Y, Z ), Z ) ],
% 0.87/1.29 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.87/1.29 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.87/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.87/1.29 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.87/1.29 , Y, X ) ) ],
% 0.87/1.29 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.87/1.29 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.87/1.29 T, Z, X ) ) ), =( Y, T ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.87/1.29 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.87/1.29 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.87/1.29 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.87/1.29 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), 'tc_nat' ), ~(
% 0.87/1.29 'c_in'( Z, 'c_List_Oset'( X, Y ), Y ) ) ],
% 0.87/1.29 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.29 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.87/1.29 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.87/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.87/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.87/1.29 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 0.87/1.29 [ =( 'c_List_Omap'( X, 'c_List_Olist__update'( Y, Z, T, U ), U, W ),
% 0.87/1.29 'c_List_Olist__update'( 'c_List_Omap'( X, Y, U, W ), Z, hAPP( X, T ), W )
% 0.87/1.29 ) ],
% 0.87/1.29 [ ~( =( 'c_List_Olist__update'( X, Y, Z, T ), X ) ), ~(
% 0.87/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_Nat_Osize__class_Osize'( X,
% 0.87/1.29 'tc_List_Olist'( T ) ), 'tc_nat' ) ), =( 'c_List_Onth'( X, Y, T ), Z ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OAbs'( X ) ),
% 0.87/1.29 'c_Lambda_OdB_OAbs'( Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X )
% 0.87/1.29 , Y ) ) ) ],
% 0.87/1.29 [ =( 'c_List_Orev'( 'c_List_Oappend'( X, Y, Z ), Z ), 'c_List_Oappend'(
% 0.87/1.29 'c_List_Orev'( Y, Z ), 'c_List_Orev'( X, Z ), Z ) ) ],
% 0.87/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.87/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.87/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.87/1.29 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 0.87/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.87/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.87/1.29 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~(
% 0.87/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.87/1.29 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.87/1.29 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.87/1.29 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.87/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.87/1.29 ) ) ],
% 0.87/1.29 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.87/1.29 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.29 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.87/1.29 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.87/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.87/1.29 ) ) ],
% 0.87/1.29 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.87/1.29 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 0.87/1.29 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.87/1.29 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.87/1.29 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.87/1.29 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.87/1.29 Y ) ],
% 0.87/1.29 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.87/1.29 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.87/1.29 Y ) ],
% 0.87/1.29 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.87/1.29 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.87/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.87/1.29 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.87/1.29 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.87/1.29 Y ) ],
% 0.87/1.29 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.87/1.29 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.87/1.29 Y ) ],
% 0.87/1.29 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.87/1.29 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.87/1.29 Y ) ],
% 0.87/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.87/1.29 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.87/1.29 Y ) ],
% 0.87/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.87/1.29 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.87/1.29 Y ) ],
% 0.87/1.29 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.87/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.87/1.29 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.87/1.29 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.29 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.87/1.29 ), 'tc_nat' ) ) ],
% 0.87/1.29 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.87/1.29 ), 'tc_nat' ) ) ],
% 0.87/1.29 [ =( 'c_List_Odrop'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ), X )
% 0.87/1.29 ],
% 0.87/1.29 [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y )
% 0.87/1.29 , 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, Y ) ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( T, U, Z ) )
% 0.87/1.29 ), =( Y, U ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.29 [ ~( =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ),
% 0.87/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( 'c_List_Onth'(
% 0.87/1.29 'c_List_Olist_OCons'( Y, Z, T ), 'c_Int_Onumber__class_Onumber__of'( X,
% 0.87/1.29 'tc_nat' ), T ), Y ) ],
% 0.87/1.29 [ ~( =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ),
% 0.87/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( 'c_List_Odrop'(
% 0.87/1.29 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'c_List_Olist_OCons'(
% 0.87/1.29 Y, Z, T ), T ), 'c_List_Olist_OCons'( Y, Z, T ) ) ],
% 0.87/1.29 [ =( 'c_List_Osplice'( 'c_List_Olist_OCons'( X, Y, Z ),
% 0.87/1.29 'c_List_Olist_OCons'( T, U, Z ), Z ), 'c_List_Olist_OCons'( X,
% 0.87/1.29 'c_List_Olist_OCons'( T, 'c_List_Osplice'( Y, U, Z ), Z ), Z ) ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.87/1.29 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( Y, Z, X ), X ),
% 0.87/1.29 ~( 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( T,
% 0.87/1.29 'c_List_Olist_OCons'( Y, Z, X ), X ), X ) ) ],
% 0.87/1.29 [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 0.87/1.29 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.87/1.29 [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 0.87/1.29 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.87/1.29 [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ),
% 0.87/1.29 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U ) ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ =( 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U
% 0.87/1.29 ), 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ) ) ],
% 0.87/1.29 [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U ),
% 0.87/1.29 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U ) ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.87/1.29 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.87/1.29 [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.87/1.29 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.87/1.29 'c_List_Olinorder__class_Osorted'( Y, X ), ~(
% 0.87/1.29 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( Z, Y, X ), X ) )
% 0.87/1.29 ],
% 0.87/1.29 [ =( 'c_List_OtakeWhile'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ),
% 0.87/1.29 'c_List_Olist_OCons'( Y, 'c_List_OtakeWhile'( X, Z, T ), T ) ), ~( hBOOL(
% 0.87/1.29 hAPP( X, Y ) ) ) ],
% 0.87/1.29 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.87/1.29 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), 'tc_nat' ), =( X,
% 0.87/1.29 'c_List_Olist_ONil'( Y ) ) ],
% 0.87/1.29 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.87/1.29 'c_Nat_Osize__class_Osize'( 'c_List_Olist_ONil'( X ), 'tc_List_Olist'( X
% 0.87/1.29 ) ), 'tc_nat' ) ) ],
% 0.87/1.29 [ =( 'c_List_Olast'( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.87/1.29 'c_List_Olist_ONil'( Z ), Z ), Z ), Z ), Y ) ],
% 0.87/1.29 [ =( 'c_List_Obutlast'( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.87/1.29 'c_List_Olist_ONil'( Z ), Z ), Z ), Z ), X ) ],
% 0.87/1.29 [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.87/1.29 'c_List_Oappend'( 'c_List_Orev'( Y, Z ), 'c_List_Olist_OCons'( X,
% 0.87/1.29 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ],
% 0.87/1.29 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T, Y ) ) ), =( X
% 0.87/1.29 , 'c_List_Oappend'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'( Z,
% 0.87/1.29 'c_List_Olist_ONil'( Y ), Y ), Y ) ) ],
% 0.87/1.29 [ =( 'c_List_Orev'( 'c_List_Oappend'( 'c_List_Orev'( X, Y ),
% 0.87/1.29 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( Y ), Y ), Y ), Y ),
% 0.87/1.29 'c_List_Olist_OCons'( Z, X, Y ) ) ],
% 0.87/1.29 [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.87/1.29 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( Z ), Z ), Z ),
% 0.87/1.29 'c_List_Olist_OCons'( Y, 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ],
% 0.87/1.29 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_ONil'( X
% 0.87/1.29 ), X ), 'c_List_Olist_ONil'( X ) ) ],
% 0.87/1.29 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_ONil'( T ) ) ), =( Y
% 0.87/1.29 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.87/1.29 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Orev'( 'c_List_Olist_ONil'( X ),
% 0.87/1.29 X ) ) ],
% 0.87/1.29 [ =( 'c_List_Obutlast'( 'c_List_Olist_ONil'( X ), X ),
% 0.87/1.29 'c_List_Olist_ONil'( X ) ) ],
% 0.87/1.29 [ =( 'c_List_OtakeWhile'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.87/1.29 'c_List_Olist_ONil'( Y ) ) ],
% 0.87/1.29 [ ~( =( X, 'c_List_Oappend'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.87/1.29 ) ) ],
% 0.87/1.29 [ ~( =( 'c_List_Oappend'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil'( Z
% 0.87/1.29 ) ) ],
% 0.87/1.29 [ ~( =( X, 'c_List_Oappend'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.87/1.29 ) ) ],
% 0.87/1.29 [ ~( =( 'c_List_Oappend'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.87/1.29 ) ) ],
% 0.87/1.29 [ =( 'c_List_Osplice'( X, 'c_List_Olist_ONil'( Y ), Y ), X ) ],
% 0.87/1.29 [ =( 'c_List_Osplice'( 'c_List_Olist_ONil'( X ), Y, X ), Y ) ],
% 0.87/1.29 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Orev'( Y, X ) ) ), =( Y,
% 0.87/1.29 'c_List_Olist_ONil'( X ) ) ],
% 0.87/1.29 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y
% 0.87/1.29 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.87/1.29 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( X
% 0.87/1.29 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.87/1.29 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Z
% 0.87/1.29 , 'c_List_Olist_ONil'( X ) ) ],
% 0.87/1.29 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Y
% 0.87/1.29 , 'c_List_Olist_ONil'( X ) ) ],
% 0.87/1.29 [ =( 'c_List_Odrop'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.87/1.29 'c_List_Olist_ONil'( Y ) ) ],
% 0.87/1.29 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, Z, T, X ) ) ), =( Z
% 0.87/1.29 , 'c_List_Olist_ONil'( T ) ) ],
% 0.87/1.29 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.87/1.29 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), Y, X ), Y ) ],
% 0.87/1.29 [ =( X, 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.87/1.29 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.87/1.29 [ =( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ), X ) ],
% 0.87/1.29 [ =( 'c_List_Otake'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.87/1.29 'c_List_Olist_ONil'( Y ) ) ],
% 0.87/1.29 [ 'c_List_Olistsp'( X, 'c_List_Olist_ONil'( Y ), Y ) ],
% 0.87/1.29 [ =( 'c_List_Omap'( X, 'c_List_Olist_ONil'( Y ), Y, Z ),
% 0.87/1.29 'c_List_Olist_ONil'( Z ) ) ],
% 0.87/1.29 [ =( 'c_List_Osublist'( 'c_List_Olist_ONil'( X ), Y, X ),
% 0.87/1.29 'c_List_Olist_ONil'( X ) ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.87/1.29 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_ONil'( X ), X ) ],
% 0.87/1.29 [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil'( X ), Y, Z, X ),
% 0.87/1.29 'c_List_Olist_ONil'( X ) ) ],
% 0.87/1.29 [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil'( X ), Y, Z, X ),
% 0.87/1.29 'c_List_Olist_ONil'( X ) ) ],
% 0.87/1.29 [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil'( X ), Y, Z, X ),
% 0.87/1.29 'c_List_Olist_ONil'( X ) ) ],
% 0.87/1.29 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil'( Y ) ) ), =( X,
% 0.87/1.29 'c_List_Olist_ONil'( Y ) ) ],
% 0.87/1.29 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, 'c_List_Olist_ONil'( Z
% 0.87/1.29 ), Z, X ) ) ],
% 0.87/1.29 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( 'c_List_Olist_ONil'( X
% 0.87/1.29 ), 'c_List_Olist_ONil'( X ), X ) ) ],
% 0.87/1.29 [ =( 'c_List_Orev'( 'c_List_Olist_ONil'( X ), X ), 'c_List_Olist_ONil'(
% 0.87/1.29 X ) ) ],
% 0.87/1.29 [ ~( =( 'c_List_Olist__update'( X, Y, Z, T ), 'c_List_Olist_ONil'( T ) )
% 0.87/1.29 ), =( X, 'c_List_Olist_ONil'( T ) ) ],
% 0.87/1.29 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'( Y,
% 0.87/1.29 X ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.87/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X, X ) ) ],
% 0.87/1.29 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP(
% 0.87/1.29 'c_Lambda_OdB_OApp', X ), Y ) ), Z ), T ), hAPP( hAPP(
% 0.87/1.29 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Z ), T ) )
% 0.87/1.29 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Y ), Z ), T ) ) ) ],
% 0.87/1.29 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OAbs'(
% 0.87/1.29 Z ) ) ) ],
% 0.87/1.29 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.87/1.29 Z ) ) ) ],
% 0.87/1.29 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T, hAPP( hAPP(
% 0.87/1.29 'c_Lambda_OdB_OApp', U ), W ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP(
% 0.87/1.29 Z, U ), W ) ) ) ],
% 0.87/1.29 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T, hAPP( hAPP(
% 0.87/1.29 'c_Lambda_OdB_OApp', U ), W ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP(
% 0.87/1.29 Z, U ), W ) ) ) ],
% 0.87/1.29 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, hAPP( hAPP( 'c_Lambda_OdB_OApp'
% 0.87/1.29 , T ), U ), W ), hAPP( hAPP( Y, T ), U ) ) ],
% 0.87/1.29 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.87/1.29 X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Z ) ) ), ~( hBOOL( hAPP(
% 0.87/1.29 hAPP( 'c_Lambda_Obeta', Y ), Z ) ) ) ],
% 0.87/1.29 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.87/1.29 X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Z ), Y ) ) ), ~( hBOOL( hAPP(
% 0.87/1.29 hAPP( 'c_Lambda_Obeta', X ), Z ) ) ) ],
% 0.87/1.29 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), =( 'c_List_Ofoldl'(
% 0.87/1.29 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.29 X ), Y ), Z ), T, X, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.87/1.29 ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Z, T, X, X ) ) ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Oappend'( Z, T, U ), W, U ),
% 0.87/1.29 'c_List_Ofoldl'( X, 'c_List_Ofoldl'( X, Y, Z, W, U ), T, W, U ) ) ],
% 0.87/1.29 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ],
% 0.87/1.29 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.87/1.29 'c_Lambda_OdB_OVar'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, U ) ) )
% 0.87/1.29 ],
% 0.87/1.29 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.87/1.29 'c_Lambda_OdB_OVar'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, U ) ) )
% 0.87/1.29 ],
% 0.87/1.29 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.87/1.29 ), X ), Y ) ],
% 0.87/1.29 [ ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.87/1.29 ) ) ) ],
% 0.87/1.29 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ) ],
% 0.87/1.29 [ =( 'c_List_Orev'( 'c_List_Omap'( X, Y, Z, T ), T ), 'c_List_Omap'( X,
% 0.87/1.29 'c_List_Orev'( Y, Z ), Z, T ) ) ],
% 0.87/1.29 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( T, U, Z ) )
% 0.87/1.29 ), =( X, T ) ],
% 0.87/1.29 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, Y, Z ) ) ),
% 0.87/1.29 =( X, T ) ],
% 0.87/1.29 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( X, T, Z ) ) ),
% 0.87/1.29 =( Y, T ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.87/1.29 'c_List_Olinorder__class_Osorted'( 'c_List_Otake'( Y, Z, X ), X ), ~(
% 0.87/1.29 'c_List_Olinorder__class_Osorted'( Z, X ) ) ],
% 0.87/1.29 [ =( 'c_List_Onth'( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 0.87/1.29 , T ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T ) ), T ), Y ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ =( 'c_List_OtakeWhile'( X, Y, Z ), 'c_List_Otake'(
% 0.87/1.29 'c_Nat_Osize__class_Osize'( 'c_List_OtakeWhile'( X, Y, Z ),
% 0.87/1.29 'tc_List_Olist'( Z ) ), Y, Z ) ) ],
% 0.87/1.29 [ ~( hBOOL( hAPP( X, 'c_List_Onth'( Y, 'c_Nat_Osize__class_Osize'(
% 0.87/1.29 'c_List_OtakeWhile'( X, Y, Z ), 'tc_List_Olist'( Z ) ), Z ) ) ) ), ~(
% 0.87/1.29 'c_HOL_Oord__class_Oless'( 'c_Nat_Osize__class_Osize'(
% 0.87/1.29 'c_List_OtakeWhile'( X, Y, Z ), 'tc_List_Olist'( Z ) ),
% 0.87/1.29 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ =( X, 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ) ) ],
% 0.87/1.29 [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ],
% 0.87/1.29 [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ],
% 0.87/1.29 [ =( 'c_List_Oappend'( 'c_List_Obutlast'( X, Y ), 'c_List_Olist_OCons'(
% 0.87/1.29 'c_List_Olast'( X, Y ), 'c_List_Olist_ONil'( Y ), Y ), Y ), X ), =( X,
% 0.87/1.29 'c_List_Olist_ONil'( Y ) ) ],
% 0.87/1.29 [ =( X, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'(
% 0.87/1.29 Y ) ), 'c_List_Oappend'( X, Z, Y ), Y ) ) ],
% 0.87/1.29 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Omap'( X, Y, Z, T ),
% 0.87/1.29 'tc_List_Olist'( T ) ), 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z
% 0.87/1.29 ) ) ) ],
% 0.87/1.29 [ =( 'c_List_Omap'( X, 'c_List_Oreplicate'( Y, Z, T ), T, U ),
% 0.87/1.29 'c_List_Oreplicate'( Y, hAPP( X, Z ), U ) ) ],
% 0.87/1.29 [ =( 'c_List_Onth'( 'c_List_Oappend'( X, Y, Z ), T, Z ), 'c_List_Onth'(
% 0.87/1.29 X, T, Z ) ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_Nat_Osize__class_Osize'(
% 0.87/1.29 X, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 0.87/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.87/1.29 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.87/1.29 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.87/1.29 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.87/1.29 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.87/1.29 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.87/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.87/1.29 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.87/1.29 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.87/1.29 [ =( 'c_List_Orev'( 'c_List_Oreplicate'( X, Y, Z ), Z ),
% 0.87/1.29 'c_List_Oreplicate'( X, Y, Z ) ) ],
% 0.87/1.29 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 0.87/1.29 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.87/1.29 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.87/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.87/1.29 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.87/1.29 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.87/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.87/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.87/1.29 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.87/1.29 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.87/1.29 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.87/1.29 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.87/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.29 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.87/1.29 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.87/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_Nat_Osize__class_Osize'( Y,
% 0.87/1.29 'tc_List_Olist'( Z ) ), 'tc_nat' ) ), =( 'c_List_Onth'(
% 0.87/1.29 'c_List_Olist__update'( Y, X, T, Z ), X, Z ), T ) ],
% 0.87/1.29 [ =( 'c_List_Onth'( 'c_List_Olist__update'( X, Y, Z, T ), Y, T ), Z ),
% 0.87/1.29 ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Nat_Osize__class_Osize'( X,
% 0.87/1.29 'tc_List_Olist'( T ) ), 'tc_nat' ) ) ],
% 0.87/1.29 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.29 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.87/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ =( 'c_List_Olast'( 'c_List_Odrop'( X, Y, Z ), Z ), 'c_List_Olast'( Y,
% 0.87/1.29 Z ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Nat_Osize__class_Osize'( Y,
% 0.87/1.29 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 0.87/1.29 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y ) ) ), =( X, Y
% 0.87/1.29 ) ],
% 0.87/1.29 [ =( 'c_List_Otake'( X, 'c_List_Obutlast'( Y, Z ), Z ), 'c_List_Otake'(
% 0.87/1.29 X, Y, Z ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Nat_Osize__class_Osize'(
% 0.87/1.29 Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 0.87/1.29 [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Omap'( X, U, Z, T ) ) ),
% 0.87/1.29 =( 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ),
% 0.87/1.29 'c_Nat_Osize__class_Osize'( U, 'tc_List_Olist'( Z ) ) ) ],
% 0.87/1.29 [ ~( =( X, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X,
% 0.87/1.29 'tc_List_Olist'( Y ) ), Z, Y ) ) ), =( 'c_List_Oappend'( X,
% 0.87/1.29 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), Z
% 0.87/1.29 , Y ), Y ), Z ) ],
% 0.87/1.29 [ =( 'c_List_Olist__update'( 'c_List_Oappend'( X, Y, Z ), T, U, Z ),
% 0.87/1.29 'c_List_Oappend'( 'c_List_Olist__update'( X, T, U, Z ), Y, Z ) ), ~(
% 0.87/1.29 'c_HOL_Oord__class_Oless'( T, 'c_Nat_Osize__class_Osize'( X,
% 0.87/1.29 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 0.87/1.29 [ =( 'c_List_Olist__update'( 'c_List_Oappend'( X, Y, Z ), T, U, Z ),
% 0.87/1.29 'c_List_Oappend'( 'c_List_Olist__update'( X, T, U, Z ), Y, Z ) ), ~(
% 0.87/1.29 'c_HOL_Oord__class_Oless'( T, 'c_Nat_Osize__class_Osize'( X,
% 0.87/1.29 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 0.87/1.29 [ =( 'c_List_Onth'( 'c_List_Oreplicate'( X, Y, Z ), T, Z ), Y ), ~(
% 0.87/1.29 'c_HOL_Oord__class_Oless'( T, X, 'tc_nat' ) ) ],
% 0.87/1.29 [ =( 'c_List_OtakeWhile'( X, 'c_List_Oappend'( Y, 'c_List_Olist_OCons'(
% 0.87/1.29 Z, T, U ), U ), U ), 'c_List_OtakeWhile'( X, Y, U ) ), hBOOL( hAPP( X, Z
% 0.87/1.29 ) ) ],
% 0.87/1.29 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.87/1.29 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.87/1.29 , X ) ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.29 , Y, X ) ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.29 , Y, X ) ) ],
% 0.87/1.29 [ =( 'c_List_Olast'( 'c_List_Oappend'( X, Y, Z ), Z ), 'c_List_Olast'( Y
% 0.87/1.29 , Z ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ],
% 0.87/1.29 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 0.87/1.29 'c_Lambda_OdB_OAbs'( X ) ), Y ) ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X
% 0.87/1.29 ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.87/1.29 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.87/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.87/1.29 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 0.87/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.87/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'(
% 0.87/1.29 'c_List_Olist_OCons'( Y, Z, X ), X ), hAPP( hAPP(
% 0.87/1.29 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Olistsum'( Z, X ) ) ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ =( 'c_List_Omap'( X, 'c_List_Oappend'( Y, Z, T ), T, U ),
% 0.87/1.29 'c_List_Oappend'( 'c_List_Omap'( X, Y, T, U ), 'c_List_Omap'( X, Z, T, U
% 0.87/1.29 ), U ) ) ],
% 0.87/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.87/1.29 ), =( Z, Y ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.87/1.29 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.29 ) ],
% 0.87/1.29 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.87/1.29 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.87/1.29 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 0.87/1.29 'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 0.87/1.29 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.87/1.29 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.29 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.87/1.29 [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.87/1.29 'c_List_Oreplicate'( T, Y, Z ), Z ), 'c_List_Oappend'(
% 0.87/1.29 'c_List_Oreplicate'( T, Y, Z ), 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.29 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.87/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.87/1.29 ) ],
% 0.87/1.29 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.87/1.29 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.87/1.29 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.87/1.29 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.29 T, X ) ) ],
% 0.87/1.29 [ =( 'c_List_Onth'( 'c_List_Omap'( X, Y, Z, T ), U, T ), hAPP( X,
% 0.87/1.29 'c_List_Onth'( Y, U, Z ) ) ), ~( 'c_HOL_Oord__class_Oless'( U,
% 0.87/1.29 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.29 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.87/1.29 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 0.87/1.29 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.87/1.29 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.29 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.29 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.87/1.29 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.87/1.29 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ), =( X, Z ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.87/1.29 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 0.87/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.87/1.29 'tc_nat' ) ) ],
% 0.87/1.29 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.87/1.29 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.29 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.87/1.29 [ =( 'c_List_Olast'( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y )
% 0.87/1.29 , Y ), 'c_List_Olast'( X, Y ) ) ],
% 0.87/1.29 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.87/1.29 'c_List_Olistsum'( 'c_List_Orev'( Y, X ), X ), 'c_List_Olistsum'( Y, X )
% 0.87/1.29 ) ],
% 0.87/1.29 [ 'c_List_Olistsp'( X, 'c_List_Oappend'( Y, Z, T ), T ), ~(
% 0.87/1.29 'c_List_Olistsp'( X, Z, T ) ), ~( 'c_List_Olistsp'( X, Y, T ) ) ],
% 0.87/1.29 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.87/1.29 'tc_List_Olist'( Z ) ), X ) ],
% 0.87/1.29 [ =( 'c_List_Olist__update'( X, Y, 'c_List_Onth'( X, Y, Z ), Z ), X ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.29 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.87/1.29 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.87/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y
% 0.87/1.29 ), Z ), 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 0.87/1.29 'tc_nat' ) ) ],
% 0.87/1.29 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.87/1.29 'c_Lambda_OdB_OAbs'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( T, U ) ) )
% 0.87/1.29 ],
% 0.87/1.29 [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 0.87/1.29 'c_Lambda_OdB_OAbs'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( T, U ) ) )
% 0.87/1.29 ],
% 0.87/1.29 [ =( 'c_List_Olist__update'( 'c_List_Oappend'( X, 'c_List_Olist_OCons'(
% 0.87/1.29 Y, Z, T ), T ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T ) ), U
% 0.87/1.29 , T ), 'c_List_Oappend'( X, 'c_List_Olist_OCons'( U, Z, T ), T ) ) ],
% 0.87/1.29 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.87/1.29 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.87/1.29 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.87/1.29 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.87/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.29 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.87/1.29 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ),
% 0.87/1.29 ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.87/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.29 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.29 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 0.87/1.29 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.87/1.29 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.87/1.29 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.87/1.29 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.87/1.29 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.87/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.29 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.87/1.29 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ),
% 0.87/1.29 ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.87/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.87/1.29 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.29 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 0.87/1.29 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 0.87/1.29 [ ~( =( 'c_List_Odrop'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z ) ) ),
% 0.87/1.29 =( 'c_List_Onth'( Y, X, Z ), T ) ],
% 0.87/1.29 [ ~( =( 'c_List_Oappend'( 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( X
% 0.87/1.29 , 'tc_List_Olist'( Y ) ), Z, Y ), 'c_List_Oappend'( 'c_List_Odrop'(
% 0.87/1.29 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y ) ), X, Y ), T, Y ), Y
% 0.87/1.29 ), T ) ), ~( =( 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X,
% 0.87/1.29 'tc_List_Olist'( Y ) ), Z, Y ), X ) ), ~( =( Z, 'c_List_Otake'(
% 0.87/1.29 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y ) ), X, Y ) ) ), =(
% 0.87/1.29 'c_List_Oappend'( Z, 'c_List_Oappend'( 'c_List_Odrop'(
% 0.87/1.29 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y ) ), X, Y ), T, Y ), Y
% 0.87/1.29 ), 'c_List_Oappend'( X, T, Y ) ) ],
% 0.87/1.29 [ 'c_Type_Otyping'( X, Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', T
% 0.87/1.29 ), Y ) ) ), ~( 'c_Type_Otyping'( X, T, Z ) ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.87/1.29 'c_List_Olinorder__class_Osorted'( Y, X ), ~(
% 0.87/1.29 'c_List_Olinorder__class_Osorted'( 'c_List_Oappend'( Y, Z, X ), X ) ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.87/1.29 'c_List_Olinorder__class_Osorted'( Y, X ), ~(
% 0.87/1.29 'c_List_Olinorder__class_Osorted'( 'c_List_Oappend'( Z, Y, X ), X ) ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ =( 'c_List_Olist__update'( 'c_List_Olist__update'( X, Y, Z, T ), U, W
% 0.87/1.29 , T ), 'c_List_Olist__update'( 'c_List_Olist__update'( X, U, W, T ), Y, Z
% 0.87/1.29 , T ) ), =( Y, U ) ],
% 0.87/1.29 [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.87/1.29 'c_List_Olist_OCons'( Y, T, Z ), Z ), 'c_List_Olist_OCons'( Y,
% 0.87/1.29 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ), T, Z ), Z ) ) ],
% 0.87/1.29 [ =( 'c_List_Odrop'( X, 'c_List_Omap'( Y, Z, T, U ), U ), 'c_List_Omap'(
% 0.87/1.29 Y, 'c_List_Odrop'( X, Z, T ), T, U ) ) ],
% 0.87/1.29 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Orev'( X, Y ), 'tc_List_Olist'(
% 0.87/1.29 Y ) ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ) ) ],
% 0.87/1.29 [ =( 'c_List_Obutlast'( 'c_List_Oappend'( X, Y, Z ), Z ),
% 0.87/1.29 'c_List_Oappend'( X, 'c_List_Obutlast'( Y, Z ), Z ) ), =( Y,
% 0.87/1.29 'c_List_Olist_ONil'( Z ) ) ],
% 0.87/1.29 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'(
% 0.87/1.29 'c_List_Oappend'( Y, Z, X ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.87/1.29 X ), 'c_List_Olistsum'( Y, X ) ), 'c_List_Olistsum'( Z, X ) ) ) ],
% 0.87/1.29 [ =( 'c_List_Onth'( 'c_List_Olist__update'( X, Y, Z, T ), U, T ),
% 0.87/1.29 'c_List_Onth'( X, U, T ) ), =( Y, U ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.29 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T ) ), 'tc_nat' ) ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ =( 'c_List_Olist__update'( 'c_List_Olist__update'( X, Y, Z, T ), Y, U
% 0.87/1.29 , T ), 'c_List_Olist__update'( X, Y, U, T ) ) ],
% 0.87/1.29 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 0.87/1.29 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.87/1.29 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.87/1.29 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.87/1.29 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 0.87/1.29 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.87/1.29 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.87/1.29 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.29 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.29 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.29 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.29 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.29 [ =( hAPP( X, Y ), Z ), ~( 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y )
% 0.87/1.29 , Z ) ) ],
% 0.87/1.29 [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, 'c_Lambda_OdB_OVar'( T ), U ),
% 0.87/1.29 hAPP( X, T ) ) ],
% 0.87/1.29 [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), hAPP( X, Y ) ) ],
% 0.87/1.29 [ 'c_List_Olistsp'( 'c_InductTermi_OIT', 'c_List_Omap'( 'c_COMBC'(
% 0.87/1.29 'c_Lambda_Olift', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_Lambda_OdB'
% 0.87/1.29 , 'tc_nat', 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 0.87/1.29 'tc_Lambda_OdB' ), ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', X,
% 0.87/1.29 'tc_Lambda_OdB' ) ) ],
% 0.87/1.29 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_s____' ) ) ],
% 0.87/1.29 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OAbs'( X ) ) ), ~(
% 0.87/1.29 hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.87/1.29 [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP( 'c_Lambda_Olift',
% 0.87/1.29 X ), Y ) ), Z ), Y ), X ) ],
% 0.87/1.29 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( 'c_Lambda_Olift', X )
% 0.87/1.29 , Y ) ), hAPP( hAPP( 'c_Lambda_Olift', Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_Lambda_Obeta', X ), Z ) ) ) ],
% 0.87/1.29 [ =( 'c_List_Osublist'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y
% 0.87/1.29 ), Y ), Z, Y ), 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ) )
% 0.87/1.29 , ~( 'c_in'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ ~( =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ),
% 0.87/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( 'c_List_Otake'(
% 0.87/1.29 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'c_List_Olist_OCons'(
% 0.87/1.29 Y, Z, T ), T ), 'c_List_Olist_ONil'( T ) ) ],
% 0.87/1.29 [ =( 'c_List_Osublist'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y
% 0.87/1.29 ), Y ), Z, Y ), 'c_List_Olist_ONil'( Y ) ), 'c_in'(
% 0.87/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ],
% 0.87/1.29 [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ),
% 0.87/1.29 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, Z, X ),
% 0.87/1.29 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.29 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.87/1.29 'c_Lambda_OdB_OVar'( Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ) )
% 0.87/1.29 ) ],
% 0.87/1.29 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.87/1.29 , X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), 'c_List_Ofoldl'(
% 0.87/1.29 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_Olift', X ), Z ),
% 0.87/1.29 'c_List_Omap'( 'c_COMBC'( 'c_Lambda_Olift', Z, 'tc_Lambda_OdB', 'tc_nat'
% 0.87/1.29 , 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 0.87/1.29 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.87/1.29 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.87/1.29 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.87/1.29 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.87/1.29 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.87/1.29 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.87/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.29 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.87/1.29 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.87/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.87/1.29 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.29 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.87/1.29 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.87/1.29 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.87/1.29 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.29 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.87/1.29 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.87/1.29 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.29 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.29 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 'c_List_Olistsum'(
% 0.87/1.29 'c_List_Olist_ONil'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.87/1.29 [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ),
% 0.87/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z ), X ) ],
% 0.87/1.29 [ =( 'c_List_Odrop'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.87/1.29 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_OCons'( X, Y, Z ) ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ =( 'c_List_Olist__update'( 'c_List_Olist_OCons'( X, Y, Z ),
% 0.87/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), T, Z ), 'c_List_Olist_OCons'( T,
% 0.87/1.29 Y, Z ) ) ],
% 0.87/1.29 [ =( 'c_List_Olist_Olist__size'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.87/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.29 [ =( 'c_List_Olist_Olist__size'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.87/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.29 [ ~( =( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ),
% 0.87/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_List_Olist_ONil'( Y
% 0.87/1.29 ) ) ],
% 0.87/1.29 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'( Y, Z, X ) ) ),
% 0.87/1.29 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.29 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ),
% 0.87/1.29 =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.29 [ =( 'c_List_Otake'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ),
% 0.87/1.29 'c_List_Olist_ONil'( Y ) ) ],
% 0.87/1.29 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'(
% 0.87/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, X ) ) ],
% 0.87/1.29 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist_ONil'( X ),
% 0.87/1.29 'tc_List_Olist'( X ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.29 [ ~( =( 'c_List_Otake'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y,
% 0.87/1.29 'c_List_Olist_ONil'( Z ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.87/1.29 ) ],
% 0.87/1.29 [ =( 'c_List_Olength__unique'( 'c_List_Olist_ONil'( X ), X ),
% 0.87/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.29 [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y )
% 0.87/1.29 , 'c_List_Olist_ONil'( Y ) ) ],
% 0.87/1.29 [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.87/1.29 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 0.87/1.29 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( Y, U
% 0.87/1.29 ) ],
% 0.87/1.29 [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.87/1.29 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 0.87/1.29 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( X, T
% 0.87/1.29 ) ],
% 0.87/1.29 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y
% 0.87/1.29 , Z, X ), X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.29 'c_List_Olinorder__class_Oinsort__key'( Y, Z, 'c_List_Olist_ONil'( T ), T
% 0.87/1.29 , X ), 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( T ), T ) ) ],
% 0.87/1.29 [ =( 'c_List_Obutlast'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.87/1.29 'c_List_Olist_OCons'( X, 'c_List_Obutlast'( Y, Z ), Z ) ), =( Y,
% 0.87/1.29 'c_List_Olist_ONil'( Z ) ) ],
% 0.87/1.29 [ =( 'c_List_Olast'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ),
% 0.87/1.29 Y ), Y ), X ) ],
% 0.87/1.29 [ =( 'c_List_Obutlast'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y
% 0.87/1.29 ), Y ), Y ), 'c_List_Olist_ONil'( Y ) ) ],
% 0.87/1.29 [ =( 'c_List_Osplice'( 'c_List_Olist_OCons'( X, Y, Z ),
% 0.87/1.29 'c_List_Olist_ONil'( Z ), Z ), 'c_List_Olist_OCons'( X, Y, Z ) ) ],
% 0.87/1.29 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z,
% 0.87/1.29 'c_List_Olist_ONil'( Y ), Y ) ) ), =( X, 'c_List_Olist_OCons'( Z,
% 0.87/1.29 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.87/1.29 [ =( 'c_List_OtakeWhile'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ),
% 0.87/1.29 'c_List_Olist_ONil'( T ) ), hBOOL( hAPP( X, Y ) ) ],
% 0.87/1.29 [ ~( =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.87/1.29 'c_List_Orev'( Z, Y ) ) ), =( Z, 'c_List_Olist_OCons'( X,
% 0.87/1.29 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.87/1.29 [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y
% 0.87/1.29 ), Y ), 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.87/1.29 [ =( 'c_List_Olast'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.87/1.29 'c_List_Olast'( Y, Z ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ],
% 0.87/1.29 [ =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'(
% 0.87/1.29 'c_List_Olist_ONil'( Z ), 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ],
% 0.87/1.29 [ =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.87/1.29 'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ), Y
% 0.87/1.29 ) ) ],
% 0.87/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.87/1.29 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( Y,
% 0.87/1.29 'c_List_Olist_ONil'( X ), X ), X ) ],
% 0.87/1.29 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.87/1.29 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldl'(
% 0.87/1.29 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Z, X, X
% 0.87/1.29 ) ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ) ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ =( 'c_Nat_Osize__class_Osize'( 'c_Lambda_OdB_OVar'( X ),
% 0.87/1.29 'tc_Lambda_OdB' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.29 [ =( 'c_Lambda_OdB_OdB__size'( 'c_Lambda_OdB_OVar'( X ) ),
% 0.87/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.87/1.29 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.87/1.29 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( X,
% 0.87/1.29 'c_Lambda_OdB_OAbs'( Z ) ) ],
% 0.87/1.29 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.87/1.29 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.87/1.29 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.87/1.29 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.87/1.29 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.87/1.29 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.87/1.29 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.87/1.29 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.87/1.29 [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 0.87/1.29 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 0.87/1.29 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB',
% 0.87/1.29 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), Z ) )
% 0.87/1.29 ) ],
% 0.87/1.29 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.87/1.29 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OAbs'( X )
% 0.87/1.29 , Y ) ],
% 0.87/1.29 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.87/1.29 , hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ), Z,
% 0.87/1.29 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP(
% 0.87/1.29 'c_InductTermi_OIT', Y ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT',
% 0.87/1.29 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.87/1.29 , X ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB'
% 0.87/1.29 , 'tc_Lambda_OdB' ) ) ) ) ],
% 0.87/1.29 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 0.87/1.29 , X ), 'c_Lambda_OdB_OVar'( Y ) ), Z ) ) ), ~( hBOOL( hAPP(
% 0.87/1.29 'c_InductTermi_OIT', X ) ) ) ],
% 0.87/1.29 [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_Lambda_OdB_OVar'( X ) ), Y ),
% 0.87/1.29 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat'
% 0.87/1.29 ) ) ],
% 0.87/1.29 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.87/1.29 'c_Lambda_OdB_OApp', Z, T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( T,
% 0.87/1.29 'c_List_Oappend'(
% 0.87/1.29 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1'( X
% 0.87/1.29 , Y, Z, T ), 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'(
% 0.87/1.29 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ), =( T,
% 0.87/1.29 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.87/1.29 [ =( 'c_List_Otake'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.87/1.29 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_ONil'( Z ) ) ],
% 0.87/1.29 [ =( X, Y ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.87/1.29 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.87/1.29 'tc_Lambda_OdB' ), Y ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 0.87/1.29 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 0.87/1.29 'tc_Lambda_OdB' ), X ) ) ],
% 0.87/1.29 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.87/1.29 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.87/1.29 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T, 'tc_Lambda_OdB',
% 0.87/1.29 'tc_Lambda_OdB' ) ) ) ],
% 0.87/1.29 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y )
% 0.87/1.29 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 0.87/1.29 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ],
% 0.87/1.29 [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.87/1.29 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'(
% 0.87/1.29 'tc_Lambda_OdB' ) ) ],
% 0.87/1.29 [ =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.87/1.29 'c_Lambda_OdB_OAbs'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.87/1.29 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.87/1.29 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.87/1.29 'c_Lambda_OdB_OApp', Z, T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X,
% 0.87/1.29 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z,
% 0.87/1.29 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1'( X
% 0.87/1.29 , Y, Z, T ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), =( T,
% 0.87/1.29 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.87/1.29 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.87/1.29 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( Y,
% 0.87/1.29 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ],
% 0.87/1.29 [ =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ),
% 0.87/1.29 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.87/1.29 ), 'c_Lambda_OdB_OAbs'( X ) ) ],
% 0.87/1.29 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 0.87/1.29 , 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ),
% 0.87/1.29 ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', Y, 'tc_Lambda_OdB' ) ) ],
% 0.87/1.29 [ =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'(
% 0.87/1.29 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 0.87/1.29 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ), =( hAPP( hAPP(
% 0.87/1.29 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, X,
% 0.87/1.29 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Y ), 'c_List_Ofoldl'(
% 0.87/1.29 'c_Lambda_OdB_OApp', Z, 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.87/1.29 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 0.87/1.29 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.87/1.29 [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'(
% 0.87/1.29 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ),
% 0.87/1.29 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, 'c_List_Oappend'( Y,
% 0.87/1.29 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.87/1.29 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 0.87/1.29 ) ],
% 0.87/1.29 [ ~( =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.87/1.29 'c_Lambda_OdB_OApp', X ), Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) )
% 0.87/1.29 , =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.87/1.29 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 0.87/1.29 'c_List_Oappend'( Z, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'(
% 0.87/1.29 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB'
% 0.87/1.29 , 'tc_Lambda_OdB' ) ) ],
% 0.87/1.29 [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.87/1.29 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 0.87/1.29 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 0.87/1.29 ) ) ],
% 0.87/1.29 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y ) ) ), =( X, Y
% 0.87/1.29 ) ],
% 0.87/1.29 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.87/1.29 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.87/1.29 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.87/1.29 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.87/1.29 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ),
% 0.87/1.29 Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'(
% 0.87/1.29 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB',
% 0.87/1.29 'tc_Lambda_OdB' ) ) ), =( Y, T ) ],
% 0.87/1.29 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.87/1.29 ) ), =( Y, U ) ],
% 0.87/1.29 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.87/1.29 ) ), =( X, T ) ],
% 0.87/1.29 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 0.87/1.29 'c_Lambda_OdB_OApp', Z, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.87/1.29 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( hAPP( hAPP(
% 0.87/1.29 'c_Lambda_OdB_OApp', X ), Y ), Z ) ],
% 0.87/1.29 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.87/1.29 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( X, Z ) ],
% 0.87/1.29 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP( hAPP(
% 0.87/1.29 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( Y, T ) ],
% 0.87/1.29 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.87/1.29 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( 'c_Lambda_OdB_OVar'( X )
% 0.87/1.29 , Y ) ],
% 0.87/1.29 [ ~( =( 'c_Lambda_OdB_OVar'( X ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Y ),
% 0.87/1.29 Z ) ) ) ],
% 0.87/1.29 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_Olift', X ), Y
% 0.87/1.29 ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ],
% 0.87/1.29 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T, Z ), Y ) ],
% 0.87/1.29 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OVar'( X ) ) ) ],
% 0.87/1.29 [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.87/1.29 , Y ) ), Z ), hAPP( hAPP( 'c_Lambda_OdB_OApp', hAPP( hAPP(
% 0.87/1.29 'c_Lambda_Olift', X ), Z ) ), hAPP( hAPP( 'c_Lambda_Olift', Y ), Z ) ) )
% 0.87/1.29 ],
% 0.87/1.29 [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_ta____' ) ) ],
% 0.87/1.29 [ =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.87/1.29 'c_Lambda_OdB_OVar'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 0.87/1.29 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ],
% 0.87/1.29 [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U ), W, U ),
% 0.87/1.29 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U ) ) ],
% 0.87/1.29 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB',
% 0.87/1.29 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y,
% 0.87/1.29 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ],
% 0.87/1.29 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 0.87/1.29 [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 0.87/1.29 [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 0.87/1.29 Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z, 'c_List_Olist_ONil'(
% 0.87/1.29 'tc_Lambda_OdB' ) ) ],
% 0.87/1.29 [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( 'c_Lambda_OdB_OApp', X )
% 0.87/1.29 , 'c_Lambda_OdB_OVar'( Y ) ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X
% 0.87/1.29 ) ) ) ],
% 0.87/1.29 [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_Lambda_OdB_OVar'(
% 0.87/1.29 Z ) ) ) ],
% 0.87/1.29 [ 'c_List_Olistsp'( 'c_InductTermi_OIT', 'c_List_Olist_OCons'( hAPP(
% 0.87/1.29 hAPP( 'c_Lambda_Olift', 'v_ta____' ), 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.29 'tc_nat' ) ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 0.87/1.29 'tc_Lambda_OdB' ) ],
% 0.87/1.29 [ ~( hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'(
% 0.87/1.29 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( 'c_HOL_Ozero__class_Ozero'(
% 0.87/1.29 'tc_nat' ) ), 'c_List_Olist_OCons'( hAPP( hAPP( 'c_Lambda_Olift',
% 0.87/1.29 'v_ta____' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.87/1.29 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 0.87/1.29 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ) ],
% 0.87/1.29 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.29 'class_Orderings_Opreorder'( Y ) ) ],
% 0.87/1.29 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.29 'class_Orderings_Oorder'( Y ) ) ],
% 0.87/1.29 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.87/1.29 ],
% 0.87/1.29 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.87/1.29 ) ],
% 0.87/1.29 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 0.87/1.29 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.87/1.29 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.87/1.29 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.87/1.29 'tc_Int_Oint' ) ],
% 0.87/1.29 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.87/1.29 'tc_Int_Oint' ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 0.87/1.29 ],
% 0.87/1.29 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 0.87/1.29 ,
% 0.87/1.29 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 0.87/1.29 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 0.87/1.29 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 0.87/1.29 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 0.87/1.29 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 0.87/1.29 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_Int_Oint' ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' ) ],
% 0.87/1.29 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 0.87/1.29 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 0.87/1.29 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 0.87/1.29 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Oring__1'( 'tc_Int_Oint' ) ],
% 0.87/1.29 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 0.87/1.29 [ 'class_Nat_Osemiring__char__0'( 'tc_Int_Oint' ) ],
% 0.87/1.29 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 0.87/1.29 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 0.87/1.29 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 0.87/1.29 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 0.87/1.29 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 0.87/1.29 [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 0.87/1.29 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 0.87/1.29 [ 'c_fequal'( X, X, Y ) ],
% 0.87/1.29 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.87/1.29 ] .
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 percentage equality = 0.347636, percentage horn = 0.888889
% 0.87/1.29 This is a problem with some equality
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29
% 0.87/1.29 Options Used:
% 0.87/1.29
% 0.87/1.29 useres = 1
% 0.87/1.29 useparamod = 1
% 0.87/1.29 useeqrefl = 1
% 0.87/1.29 useeqfact = 1
% 0.87/1.29 usefactor = 1
% 0.87/1.29 usesimpsplitting = 0
% 0.87/1.29 usesimpdemod = 5
% 0.87/1.29 usesimpres = 3
% 0.87/1.29
% 0.87/1.29 resimpinuse = 1000
% 0.87/1.29 resimpclauses = 20000
% 0.87/1.29 substype = eqrewr
% 0.87/1.29 backwardsubs = 1
% 0.87/1.29 selectoldest = 5
% 0.87/1.29
% 0.87/1.29 litorderings [0] = split
% 0.87/1.29 litorderings [1] = extend the termordering, first sorting on arguments
% 0.87/1.29
% 0.87/1.29 termordering = kbo
% 0.87/1.29
% 0.87/1.29 litapriori = 0
% 0.87/1.29 termapriori = 1
% 0.87/1.29 litaposteriori = 0
% 0.87/1.29 termaposteriori = 0
% 0.87/1.29 demodaposteriori = 0
% 0.87/1.29 ordereqreflfact = 0
% 0.87/1.29
% 0.87/1.29 litselect = negord
% 0.87/1.29
% 0.87/1.29 maxweight = 15
% 0.87/1.29 maxdepth = 30000
% 0.87/1.29 maxlength = 115
% 0.87/1.29 maxnrvars = 195
% 0.87/1.29 excuselevel = 1
% 0.87/1.29 increasemaxweight = 1
% 0.87/1.29
% 0.87/1.29 maxselected = 10000000
% 0.87/1.29 maxnrclauses = 10000000
% 0.87/1.29
% 0.87/1.29 showgenerated = 0
% 0.87/1.29 showkept = 0
% 0.87/1.29 showselected = 0
% 0.87/1.29 showdeleted = 0
% 0.87/1.29 showresimp = 1
% 0.87/1.29 showstatus = 2000
% 0.87/1.29
% 0.87/1.29 prologoutput = 1
% 0.87/1.29 nrgoals = 5000000
% 0.87/1.29 totalproof = 1
% 0.87/1.29
% 0.87/1.29 Symbols occurring in the translation:
% 0.87/1.29
% 0.87/1.29 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.87/1.29 . [1, 2] (w:1, o:146, a:1, s:1, b:0),
% 0.87/1.29 ! [4, 1] (w:0, o:97, a:1, s:1, b:0),
% 0.87/1.29 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.29 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.29 'c_Suc' [41, 1] (w:1, o:102, a:1, s:1, b:0),
% 1.75/2.14 'tc_nat' [42, 0] (w:1, o:14, a:1, s:1, b:0),
% 1.75/2.14 'c_HOL_Oord__class_Oless' [43, 3] (w:1, o:184, a:1, s:1, b:0),
% 1.75/2.14 'c_lessequals' [44, 3] (w:1, o:185, a:1, s:1, b:0),
% 1.75/2.14 'class_OrderedGroup_Opordered__ab__group__add' [46, 1] (w:1, o:104
% 1.75/2.14 , a:1, s:1, b:0),
% 1.75/2.14 'c_HOL_Oplus__class_Oplus' [48, 1] (w:1, o:106, a:1, s:1, b:0),
% 1.75/2.14 hAPP [50, 2] (w:1, o:171, a:1, s:1, b:0),
% 1.75/2.14 'class_Orderings_Opreorder' [53, 1] (w:1, o:108, a:1, s:1, b:0),
% 1.75/2.14 'class_Orderings_Oorder' [57, 1] (w:1, o:107, a:1, s:1, b:0),
% 1.75/2.14 'class_Ring__and__Field_Oring__1' [61, 1] (w:1, o:109, a:1, s:1, b:0)
% 1.75/2.14 ,
% 1.75/2.14 'c_HOL_Ominus__class_Ominus' [62, 3] (w:1, o:186, a:1, s:1, b:0),
% 1.75/2.14 'c_Nat_Osemiring__1__class_Oof__nat' [63, 2] (w:1, o:172, a:1, s:1
% 1.75/2.14 , b:0),
% 1.75/2.14 'class_Ring__and__Field_Oordered__semidom' [64, 1] (w:1, o:112, a:1
% 1.75/2.14 , s:1, b:0),
% 1.75/2.14 'c_HOL_Ozero__class_Ozero' [65, 1] (w:1, o:113, a:1, s:1, b:0),
% 1.75/2.14 'c_Power_Opower__class_Opower' [66, 3] (w:1, o:187, a:1, s:1, b:0),
% 1.75/2.14 'class_OrderedGroup_Opordered__ab__semigroup__add' [67, 1] (w:1, o:
% 1.75/2.14 114, a:1, s:1, b:0),
% 1.75/2.14 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [68, 1]
% 1.75/2.14 (w:1, o:115, a:1, s:1, b:0),
% 1.75/2.14 'c_HOL_Oone__class_Oone' [69, 1] (w:1, o:105, a:1, s:1, b:0),
% 1.75/2.14 'c_List_Orev' [71, 2] (w:1, o:173, a:1, s:1, b:0),
% 1.75/2.14 'c_List_Oset' [72, 2] (w:1, o:174, a:1, s:1, b:0),
% 1.75/2.14 'class_OrderedGroup_Ogroup__add' [77, 1] (w:1, o:116, a:1, s:1, b:0)
% 1.75/2.14 ,
% 1.75/2.14 'c_List_Oappend' [80, 3] (w:1, o:188, a:1, s:1, b:0),
% 1.75/2.14 'c_ListOrder_Ostep1' [82, 4] (w:1, o:203, a:1, s:1, b:0),
% 1.75/2.14 'c_List_Olist_Olist__size' [85, 3] (w:1, o:189, a:1, s:1, b:0),
% 1.75/2.14 'c_in' [86, 3] (w:1, o:190, a:1, s:1, b:0),
% 1.75/2.14 'class_OrderedGroup_Omonoid__mult' [87, 1] (w:1, o:118, a:1, s:1, b:0
% 1.75/2.14 ),
% 1.75/2.14 'class_Orderings_Olinorder' [88, 1] (w:1, o:119, a:1, s:1, b:0),
% 1.75/2.14 'c_List_Olist_OCons' [92, 3] (w:1, o:191, a:1, s:1, b:0),
% 1.75/2.14 'c_List_Olinorder__class_Osorted' [93, 2] (w:1, o:175, a:1, s:1, b:0)
% 1.75/2.14 ,
% 1.75/2.14 'c_List_Olength__unique' [94, 2] (w:1, o:176, a:1, s:1, b:0),
% 1.75/2.14 'class_OrderedGroup_Opordered__comm__monoid__add' [95, 1] (w:1, o:120
% 1.75/2.14 , a:1, s:1, b:0),
% 1.75/2.14 'class_OrderedGroup_Olordered__ab__group__add' [96, 1] (w:1, o:117
% 1.75/2.14 , a:1, s:1, b:0),
% 1.75/2.14 'class_OrderedGroup_Ocomm__monoid__add' [97, 1] (w:1, o:121, a:1, s:1
% 1.75/2.14 , b:0),
% 1.75/2.14 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [98, 1]
% 1.75/2.14 (w:1, o:122, a:1, s:1, b:0),
% 1.75/2.14 'class_Int_Onumber' [99, 1] (w:1, o:123, a:1, s:1, b:0),
% 1.75/2.14 'c_Int_Onumber__class_Onumber__of' [101, 2] (w:1, o:177, a:1, s:1, b:
% 1.75/2.14 0),
% 1.75/2.14 hBOOL [104, 1] (w:1, o:124, a:1, s:1, b:0),
% 1.75/2.14 'class_Ring__and__Field_Osemiring__0' [105, 1] (w:1, o:126, a:1, s:1
% 1.75/2.14 , b:0),
% 1.75/2.14 'class_Power_Opower' [106, 1] (w:1, o:133, a:1, s:1, b:0),
% 1.75/2.14 'c_List_Omap' [108, 4] (w:1, o:205, a:1, s:1, b:0),
% 1.75/2.14 'tc_List_Olist' [110, 1] (w:1, o:134, a:1, s:1, b:0),
% 1.75/2.14 'c_Nat_Osize__class_Osize' [111, 2] (w:1, o:178, a:1, s:1, b:0),
% 1.75/2.14 'class_Ring__and__Field_Ocomm__semiring__1' [112, 1] (w:1, o:135, a:1
% 1.75/2.14 , s:1, b:0),
% 1.75/2.14 'c_List_Ohd' [113, 2] (w:1, o:179, a:1, s:1, b:0),
% 1.75/2.14 'c_List_Olist_ONil' [114, 1] (w:1, o:136, a:1, s:1, b:0),
% 1.75/2.14 'c_List_Otake' [115, 3] (w:1, o:194, a:1, s:1, b:0),
% 1.75/2.14 'c_List_Odrop' [116, 3] (w:1, o:195, a:1, s:1, b:0),
% 1.75/2.14 'c_List_Onth' [117, 3] (w:1, o:196, a:1, s:1, b:0),
% 1.75/2.14 'c_List_OtakeWhile' [118, 3] (w:1, o:197, a:1, s:1, b:0),
% 1.75/2.14 'c_List_Olistsp' [120, 3] (w:1, o:198, a:1, s:1, b:0),
% 1.75/2.14 'c_List_Oreplicate' [121, 3] (w:1, o:199, a:1, s:1, b:0),
% 1.75/2.14 'c_List_Olist__update' [123, 4] (w:1, o:204, a:1, s:1, b:0),
% 1.75/2.14 'c_List_Obutlast' [124, 2] (w:1, o:180, a:1, s:1, b:0),
% 1.75/2.14 'c_List_Osublist' [126, 3] (w:1, o:192, a:1, s:1, b:0),
% 1.75/2.14 'c_List_Olinorder__class_Oinsort__key' [127, 5] (w:1, o:208, a:1, s:1
% 1.75/2.14 , b:0),
% 1.75/2.14 'class_OrderedGroup_Oab__group__add' [128, 1] (w:1, o:127, a:1, s:1
% 1.75/2.14 , b:0),
% 1.75/2.14 'class_Ring__and__Field_Osemiring__1' [129, 1] (w:1, o:137, a:1, s:1
% 1.75/2.14 , b:0),
% 1.75/2.14 'class_Ring__and__Field_Ozero__neq__one' [130, 1] (w:1, o:138, a:1
% 11.03/11.41 , s:1, b:0),
% 11.03/11.41 'class_Ring__and__Field_Oidom' [131, 1] (w:1, o:139, a:1, s:1, b:0),
% 11.03/11.41
% 11.03/11.41 'class_Int_Onumber__ring' [132, 1] (w:1, o:140, a:1, s:1, b:0),
% 11.03/11.41 'c_Lambda_Obeta' [134, 0] (w:1, o:69, a:1, s:1, b:0),
% 11.03/11.41 'c_Lambda_OdB_OApp' [135, 0] (w:1, o:70, a:1, s:1, b:0),
% 11.03/11.41 'tc_Lambda_OdB' [137, 0] (w:1, o:72, a:1, s:1, b:0),
% 11.03/11.41 'c_List_Ofoldl' [138, 5] (w:1, o:209, a:1, s:1, b:0),
% 11.03/11.41 'c_List_Olast' [145, 2] (w:1, o:181, a:1, s:1, b:0),
% 11.03/11.41 'c_List_Osko__List__XtakeWhile__eq__take__P__nth__1__1' [146, 4] (w:1
% 11.03/11.41 , o:206, a:1, s:1, b:0),
% 11.03/11.41 'class_OrderedGroup_Ocancel__semigroup__add' [147, 1] (w:1, o:128, a:
% 11.03/11.41 1, s:1, b:0),
% 11.03/11.41 'class_OrderedGroup_Ocancel__ab__semigroup__add' [148, 1] (w:1, o:129
% 11.03/11.41 , a:1, s:1, b:0),
% 11.03/11.41 'class_Int_Oring__char__0' [149, 1] (w:1, o:141, a:1, s:1, b:0),
% 11.03/11.41 'c_Lambda_Osubst' [150, 0] (w:1, o:74, a:1, s:1, b:0),
% 11.03/11.41 'c_Lambda_OdB_OVar' [151, 1] (w:1, o:142, a:1, s:1, b:0),
% 11.03/11.41 'c_COMBC' [155, 5] (w:1, o:210, a:1, s:1, b:0),
% 11.03/11.41 'class_OrderedGroup_Oab__semigroup__add' [159, 1] (w:1, o:130, a:1
% 11.03/11.41 , s:1, b:0),
% 11.03/11.41 'c_Lambda_OdB_OAbs' [164, 1] (w:1, o:143, a:1, s:1, b:0),
% 11.03/11.41 'c_Lambda_OdB_OdB__case' [165, 5] (w:1, o:211, a:1, s:1, b:0),
% 11.03/11.41 'tc_fun' [168, 2] (w:1, o:182, a:1, s:1, b:0),
% 11.03/11.41 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1' [169, 3] (w:
% 11.03/11.41 1, o:200, a:1, s:1, b:0),
% 11.03/11.41 'class_Ring__and__Field_Ono__zero__divisors' [170, 1] (w:1, o:111, a:
% 11.03/11.41 1, s:1, b:0),
% 11.03/11.41 'class_Ring__and__Field_Omult__zero' [171, 1] (w:1, o:110, a:1, s:1
% 11.03/11.41 , b:0),
% 11.03/11.41 'class_Ring__and__Field_Oring__1__no__zero__divisors' [172, 1] (w:1
% 11.03/11.41 , o:125, a:1, s:1, b:0),
% 11.03/11.41 'class_OrderedGroup_Omonoid__add' [173, 1] (w:1, o:131, a:1, s:1, b:0
% 11.03/11.41 ),
% 11.03/11.41 'c_List_Osplice' [174, 3] (w:1, o:193, a:1, s:1, b:0),
% 11.03/11.41 'c_List_Olistsum' [176, 2] (w:1, o:183, a:1, s:1, b:0),
% 11.03/11.41 't_a' [181, 0] (w:1, o:84, a:1, s:1, b:0),
% 11.03/11.41 'class_OrderedGroup_Osemigroup__add' [182, 1] (w:1, o:132, a:1, s:1
% 11.03/11.41 , b:0),
% 11.03/11.41 'class_Nat_Osemiring__char__0' [184, 1] (w:1, o:103, a:1, s:1, b:0),
% 11.03/11.41
% 11.03/11.41 'class_Ring__and__Field_Oordered__idom' [185, 1] (w:1, o:144, a:1, s:
% 11.03/11.41 1, b:0),
% 11.03/11.41 'c_Type_Otyping' [189, 3] (w:1, o:201, a:1, s:1, b:0),
% 11.03/11.41 'c_InductTermi_OIT' [192, 0] (w:1, o:86, a:1, s:1, b:0),
% 11.03/11.41 'c_Lambda_Olift' [193, 0] (w:1, o:87, a:1, s:1, b:0),
% 11.03/11.41 'v_s____' [194, 0] (w:1, o:88, a:1, s:1, b:0),
% 11.03/11.41 'c_Lambda_OdB_OdB__size' [196, 1] (w:1, o:145, a:1, s:1, b:0),
% 11.03/11.41 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1' [
% 11.03/11.41 197, 4] (w:1, o:207, a:1, s:1, b:0),
% 11.03/11.41 'v_ta____' [204, 0] (w:1, o:90, a:1, s:1, b:0),
% 11.03/11.41 'tc_bool' [207, 0] (w:1, o:93, a:1, s:1, b:0),
% 11.03/11.41 'tc_Int_Oint' [208, 0] (w:1, o:94, a:1, s:1, b:0),
% 11.03/11.41 'c_fequal' [209, 3] (w:1, o:202, a:1, s:1, b:0).
% 11.03/11.41
% 11.03/11.41
% 11.03/11.41 Starting Search:
% 11.03/11.41
% 11.03/11.41 Resimplifying inuse:
% 11.03/11.41 Done
% 11.03/11.41
% 11.03/11.41
% 11.03/11.41 Intermediate Status:
% 11.03/11.41 Generated: 3460
% 11.03/11.41 Kept: 2006
% 11.03/11.41 Inuse: 159
% 11.03/11.41 Deleted: 2
% 11.03/11.41 Deletedinuse: 0
% 11.03/11.41
% 11.03/11.41 Resimplifying inuse:
% 11.03/11.41 Done
% 11.03/11.41
% 11.03/11.41 Resimplifying inuse:
% 11.03/11.41 Done
% 11.03/11.41
% 11.03/11.41
% 11.03/11.41 Intermediate Status:
% 11.03/11.41 Generated: 9124
% 11.03/11.41 Kept: 4011
% 11.03/11.41 Inuse: 230
% 11.03/11.41 Deleted: 2
% 11.03/11.41 Deletedinuse: 0
% 11.03/11.41
% 11.03/11.41 Resimplifying inuse:
% 11.03/11.41 Done
% 11.03/11.41
% 11.03/11.41 Resimplifying inuse:
% 11.03/11.41 Done
% 11.03/11.41
% 11.03/11.41
% 11.03/11.41 Intermediate Status:
% 11.03/11.41 Generated: 14511
% 11.03/11.41 Kept: 6017
% 11.03/11.41 Inuse: 337
% 11.03/11.41 Deleted: 3
% 11.03/11.41 Deletedinuse: 0
% 11.03/11.41
% 11.03/11.41 Resimplifying inuse:
% 11.03/11.41 Done
% 11.03/11.41
% 11.03/11.41 Resimplifying inuse:
% 11.03/11.41 Done
% 11.03/11.41
% 11.03/11.41
% 11.03/11.41 Intermediate Status:
% 11.03/11.41 Generated: 21394
% 11.03/11.41 Kept: 8601
% 11.03/11.41 Inuse: 380
% 11.03/11.41 Deleted: 7
% 11.03/11.41 Deletedinuse: 1
% 11.03/11.41
% 11.03/11.41 Resimplifying inuse:
% 11.03/11.41 Done
% 11.03/11.41
% 11.03/11.41 Resimplifying inuse:
% 11.03/11.41 Done
% 11.03/11.41
% 11.03/11.41
% 11.03/11.41 Intermediate Status:
% 11.03/11.41 Generated: 28045
% 11.03/11.41 Kept: 10624
% 11.03/11.41 Inuse: 433
% 11.03/11.41 Deleted: 7
% 11.03/11.41 Deletedinuse: 1
% 11.03/11.41
% 11.03/11.41 Resimplifying inuse:
% 11.03/11.41 Done
% 11.03/11.41
% 11.03/11.41 Resimplifying inuse:
% 11.03/11.41 Done
% 11.03/11.41
% 11.03/11.41
% 11.03/11.41 Intermediate Status:
% 11.03/11.41 Generated: 38394
% 11.03/11.41 Kept: 12846
% 11.03/11.41 Inuse: 483
% 11.03/11.41 Deleted: 9
% 11.03/11.41 Deletedinuse: 1
% 11.03/11.41
% 11.03/11.41 Resimplifying inuse:
% 11.03/11.41 Done
% 11.03/11.41
% 11.03/11.41 Resimplifying inuse:
% 11.03/11.41 Done
% 11.03/11.41
% 11.03/11.41
% 11.03/11.41 Intermediate Status:
% 11.03/11.41 Generated: 45755
% 11.03/11.41 Kept: 14858
% 11.03/11.41 Inuse: 525
% 11.03/11.41 Deleted: 9
% 11.03/11.41 Deletedinuse: 1
% 11.03/11.41
% 11.03/11.41 Resimplifying inuse:
% 11.03/11.41 Done
% 11.03/11.41
% 11.03/11.41
% 11.03/11.41 Intermediate Status:
% 33.43/33.89 Generated: 54546
% 33.43/33.89 Kept: 17016
% 33.43/33.89 Inuse: 566
% 33.43/33.89 Deleted: 11
% 33.43/33.89 Deletedinuse: 1
% 33.43/33.89
% 33.43/33.89 Resimplifying inuse:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89 Resimplifying inuse:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89
% 33.43/33.89 Intermediate Status:
% 33.43/33.89 Generated: 66353
% 33.43/33.89 Kept: 20252
% 33.43/33.89 Inuse: 640
% 33.43/33.89 Deleted: 13
% 33.43/33.89 Deletedinuse: 2
% 33.43/33.89
% 33.43/33.89 Resimplifying inuse:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89 Resimplifying clauses:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89 Resimplifying inuse:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89
% 33.43/33.89 Intermediate Status:
% 33.43/33.89 Generated: 74051
% 33.43/33.89 Kept: 22253
% 33.43/33.89 Inuse: 689
% 33.43/33.89 Deleted: 612
% 33.43/33.89 Deletedinuse: 12
% 33.43/33.89
% 33.43/33.89 Resimplifying inuse:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89 Resimplifying inuse:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89
% 33.43/33.89 Intermediate Status:
% 33.43/33.89 Generated: 84606
% 33.43/33.89 Kept: 25143
% 33.43/33.89 Inuse: 738
% 33.43/33.89 Deleted: 614
% 33.43/33.89 Deletedinuse: 14
% 33.43/33.89
% 33.43/33.89 Resimplifying inuse:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89 Resimplifying inuse:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89
% 33.43/33.89 Intermediate Status:
% 33.43/33.89 Generated: 96249
% 33.43/33.89 Kept: 27164
% 33.43/33.89 Inuse: 769
% 33.43/33.89 Deleted: 614
% 33.43/33.89 Deletedinuse: 14
% 33.43/33.89
% 33.43/33.89 Resimplifying inuse:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89 Resimplifying inuse:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89
% 33.43/33.89 Intermediate Status:
% 33.43/33.89 Generated: 106473
% 33.43/33.89 Kept: 29851
% 33.43/33.89 Inuse: 795
% 33.43/33.89 Deleted: 614
% 33.43/33.89 Deletedinuse: 14
% 33.43/33.89
% 33.43/33.89 Resimplifying inuse:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89 Resimplifying inuse:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89
% 33.43/33.89 Intermediate Status:
% 33.43/33.89 Generated: 118124
% 33.43/33.89 Kept: 31859
% 33.43/33.89 Inuse: 816
% 33.43/33.89 Deleted: 615
% 33.43/33.89 Deletedinuse: 15
% 33.43/33.89
% 33.43/33.89 Resimplifying inuse:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89 Resimplifying inuse:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89
% 33.43/33.89 Intermediate Status:
% 33.43/33.89 Generated: 130140
% 33.43/33.89 Kept: 34574
% 33.43/33.89 Inuse: 865
% 33.43/33.89 Deleted: 616
% 33.43/33.89 Deletedinuse: 16
% 33.43/33.89
% 33.43/33.89 Resimplifying inuse:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89 Resimplifying inuse:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89
% 33.43/33.89 Intermediate Status:
% 33.43/33.89 Generated: 140834
% 33.43/33.89 Kept: 38159
% 33.43/33.89 Inuse: 875
% 33.43/33.89 Deleted: 616
% 33.43/33.89 Deletedinuse: 16
% 33.43/33.89
% 33.43/33.89 Resimplifying inuse:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89
% 33.43/33.89 Intermediate Status:
% 33.43/33.89 Generated: 150666
% 33.43/33.89 Kept: 40330
% 33.43/33.89 Inuse: 885
% 33.43/33.89 Deleted: 616
% 33.43/33.89 Deletedinuse: 16
% 33.43/33.89
% 33.43/33.89 Resimplifying inuse:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89 Resimplifying clauses:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89
% 33.43/33.89 Intermediate Status:
% 33.43/33.89 Generated: 162578
% 33.43/33.89 Kept: 42343
% 33.43/33.89 Inuse: 902
% 33.43/33.89 Deleted: 924
% 33.43/33.89 Deletedinuse: 16
% 33.43/33.89
% 33.43/33.89 Resimplifying inuse:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89
% 33.43/33.89 Intermediate Status:
% 33.43/33.89 Generated: 178617
% 33.43/33.89 Kept: 44727
% 33.43/33.89 Inuse: 905
% 33.43/33.89 Deleted: 933
% 33.43/33.89 Deletedinuse: 18
% 33.43/33.89
% 33.43/33.89 Resimplifying inuse:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89 Resimplifying inuse:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89
% 33.43/33.89 Intermediate Status:
% 33.43/33.89 Generated: 187673
% 33.43/33.89 Kept: 46811
% 33.43/33.89 Inuse: 920
% 33.43/33.89 Deleted: 933
% 33.43/33.89 Deletedinuse: 18
% 33.43/33.89
% 33.43/33.89 Resimplifying inuse:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89 Resimplifying inuse:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89
% 33.43/33.89 Intermediate Status:
% 33.43/33.89 Generated: 196554
% 33.43/33.89 Kept: 49045
% 33.43/33.89 Inuse: 955
% 33.43/33.89 Deleted: 933
% 33.43/33.89 Deletedinuse: 18
% 33.43/33.89
% 33.43/33.89 Resimplifying inuse:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89
% 33.43/33.89 Intermediate Status:
% 33.43/33.89 Generated: 219902
% 33.43/33.89 Kept: 52546
% 33.43/33.89 Inuse: 975
% 33.43/33.89 Deleted: 933
% 33.43/33.89 Deletedinuse: 18
% 33.43/33.89
% 33.43/33.89 Resimplifying inuse:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89 Resimplifying inuse:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89
% 33.43/33.89 Intermediate Status:
% 33.43/33.89 Generated: 228694
% 33.43/33.89 Kept: 54565
% 33.43/33.89 Inuse: 985
% 33.43/33.89 Deleted: 934
% 33.43/33.89 Deletedinuse: 19
% 33.43/33.89
% 33.43/33.89 Resimplifying inuse:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89
% 33.43/33.89 Intermediate Status:
% 33.43/33.89 Generated: 240431
% 33.43/33.89 Kept: 56953
% 33.43/33.89 Inuse: 995
% 33.43/33.89 Deleted: 934
% 33.43/33.89 Deletedinuse: 19
% 33.43/33.89
% 33.43/33.89 Resimplifying inuse:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89 Resimplifying inuse:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89
% 33.43/33.89 Intermediate Status:
% 33.43/33.89 Generated: 255437
% 33.43/33.89 Kept: 60879
% 33.43/33.89 Inuse: 1019
% 33.43/33.89 Deleted: 934
% 33.43/33.89 Deletedinuse: 19
% 33.43/33.89
% 33.43/33.89 Resimplifying inuse:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89 Resimplifying clauses:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89 Resimplifying inuse:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89
% 33.43/33.89 Intermediate Status:
% 33.43/33.89 Generated: 268266
% 33.43/33.89 Kept: 63819
% 33.43/33.89 Inuse: 1035
% 33.43/33.89 Deleted: 1492
% 33.43/33.89 Deletedinuse: 19
% 33.43/33.89
% 33.43/33.89 Resimplifying inuse:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89 Resimplifying inuse:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89
% 33.43/33.89 Intermediate Status:
% 33.43/33.89 Generated: 278506
% 33.43/33.89 Kept: 66106
% 33.43/33.89 Inuse: 1050
% 33.43/33.89 Deleted: 1492
% 33.43/33.89 Deletedinuse: 19
% 33.43/33.89
% 33.43/33.89 Resimplifying inuse:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89 Resimplifying inuse:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89
% 33.43/33.89 Intermediate Status:
% 33.43/33.89 Generated: 286166
% 33.43/33.89 Kept: 68200
% 33.43/33.89 Inuse: 1065
% 33.43/33.89 Deleted: 1493
% 33.43/33.89 Deletedinuse: 20
% 33.43/33.89
% 33.43/33.89 Resimplifying inuse:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89 Resimplifying inuse:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89
% 33.43/33.89 Intermediate Status:
% 33.43/33.89 Generated: 298521
% 33.43/33.89 Kept: 70754
% 33.43/33.89 Inuse: 1080
% 33.43/33.89 Deleted: 1493
% 33.43/33.89 Deletedinuse: 20
% 33.43/33.89
% 33.43/33.89 Resimplifying inuse:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89 Resimplifying inuse:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89
% 33.43/33.89 Intermediate Status:
% 33.43/33.89 Generated: 307554
% 33.43/33.89 Kept: 72831
% 33.43/33.89 Inuse: 1110
% 33.43/33.89 Deleted: 1493
% 33.43/33.89 Deletedinuse: 20
% 33.43/33.89
% 33.43/33.89 Resimplifying inuse:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89
% 33.43/33.89 Intermediate Status:
% 33.43/33.89 Generated: 325669
% 33.43/33.89 Kept: 75600
% 33.43/33.89 Inuse: 1135
% 33.43/33.89 Deleted: 1493
% 33.43/33.89 Deletedinuse: 20
% 33.43/33.89
% 33.43/33.89 Resimplifying inuse:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89 Resimplifying inuse:
% 33.43/33.89 Done
% 33.43/33.89
% 33.43/33.89
% 33.43/33.89 Intermediate Status:
% 33.43/33.89 Generated: 344273
% 33.43/33.89 Kept: 77660
% 33.43/33.89 Inuse: 1145
% 80.08/80.50 Deleted: 1493
% 80.08/80.50 Deletedinuse: 20
% 80.08/80.50
% 80.08/80.50 Resimplifying inuse:
% 80.08/80.50 Done
% 80.08/80.50
% 80.08/80.50 Resimplifying inuse:
% 80.08/80.50 Done
% 80.08/80.50
% 80.08/80.50
% 80.08/80.50 Intermediate Status:
% 80.08/80.50 Generated: 358891
% 80.08/80.50 Kept: 79680
% 80.08/80.50 Inuse: 1165
% 80.08/80.50 Deleted: 1493
% 80.08/80.50 Deletedinuse: 20
% 80.08/80.50
% 80.08/80.50 Resimplifying inuse:
% 80.08/80.50 Done
% 80.08/80.50
% 80.08/80.50 Resimplifying inuse:
% 80.08/80.50 Done
% 80.08/80.50
% 80.08/80.50 Resimplifying clauses:
% 80.08/80.50 Done
% 80.08/80.50
% 80.08/80.50
% 80.08/80.50 Intermediate Status:
% 80.08/80.50 Generated: 378635
% 80.08/80.50 Kept: 82654
% 80.08/80.50 Inuse: 1180
% 80.08/80.50 Deleted: 1544
% 80.08/80.50 Deletedinuse: 20
% 80.08/80.50
% 80.08/80.50 Resimplifying inuse:
% 80.08/80.50 Done
% 80.08/80.50
% 80.08/80.50 Resimplifying inuse:
% 80.08/80.50 Done
% 80.08/80.50
% 80.08/80.50
% 80.08/80.50 Intermediate Status:
% 80.08/80.50 Generated: 392598
% 80.08/80.50 Kept: 85026
% 80.08/80.50 Inuse: 1200
% 80.08/80.50 Deleted: 1544
% 80.08/80.50 Deletedinuse: 20
% 80.08/80.50
% 80.08/80.50 Resimplifying inuse:
% 80.08/80.50 Done
% 80.08/80.50
% 80.08/80.50 Resimplifying inuse:
% 80.08/80.50 Done
% 80.08/80.50
% 80.08/80.50
% 80.08/80.50 Intermediate Status:
% 80.08/80.50 Generated: 405344
% 80.08/80.50 Kept: 87256
% 80.08/80.50 Inuse: 1235
% 80.08/80.50 Deleted: 1544
% 80.08/80.50 Deletedinuse: 20
% 80.08/80.50
% 80.08/80.50 Resimplifying inuse:
% 80.08/80.50 Done
% 80.08/80.50
% 80.08/80.50
% 80.08/80.50 Intermediate Status:
% 80.08/80.50 Generated: 418076
% 80.08/80.50 Kept: 89454
% 80.08/80.50 Inuse: 1245
% 80.08/80.50 Deleted: 1544
% 80.08/80.50 Deletedinuse: 20
% 80.08/80.50
% 80.08/80.50 Resimplifying inuse:
% 80.08/80.50 Done
% 80.08/80.50
% 80.08/80.50 Resimplifying inuse:
% 80.08/80.50 Done
% 80.08/80.50
% 80.08/80.50
% 80.08/80.50 Intermediate Status:
% 80.08/80.50 Generated: 427059
% 80.08/80.50 Kept: 91465
% 80.08/80.50 Inuse: 1272
% 80.08/80.50 Deleted: 1544
% 80.08/80.50 Deletedinuse: 20
% 80.08/80.50
% 80.08/80.50 Resimplifying inuse:
% 80.08/80.50 Done
% 80.08/80.50
% 80.08/80.50
% 80.08/80.50 Intermediate Status:
% 80.08/80.50 Generated: 433464
% 80.08/80.50 Kept: 93532
% 80.08/80.50 Inuse: 1277
% 80.08/80.50 Deleted: 1544
% 80.08/80.50 Deletedinuse: 20
% 80.08/80.50
% 80.08/80.50 Resimplifying inuse:
% 80.08/80.50 Done
% 80.08/80.50
% 80.08/80.50 Resimplifying inuse:
% 80.08/80.50 Done
% 80.08/80.50
% 80.08/80.50
% 80.08/80.50 Intermediate Status:
% 80.08/80.50 Generated: 442429
% 80.08/80.50 Kept: 95747
% 80.08/80.50 Inuse: 1290
% 80.08/80.50 Deleted: 1544
% 80.08/80.50 Deletedinuse: 20
% 80.08/80.50
% 80.08/80.50 Resimplifying inuse:
% 80.08/80.50 Done
% 80.08/80.50
% 80.08/80.50
% 80.08/80.50 Intermediate Status:
% 80.08/80.50 Generated: 453727
% 80.08/80.50 Kept: 97753
% 80.08/80.50 Inuse: 1304
% 80.08/80.50 Deleted: 1544
% 80.08/80.50 Deletedinuse: 20
% 80.08/80.50
% 80.08/80.50 Resimplifying inuse:
% 80.08/80.50 Done
% 80.08/80.50
% 80.08/80.50 Resimplifying inuse:
% 80.08/80.50 Done
% 80.08/80.50
% 80.08/80.50
% 80.08/80.50 Intermediate Status:
% 80.08/80.50 Generated: 462970
% 80.08/80.50 Kept: 99777
% 80.08/80.50 Inuse: 1321
% 80.08/80.50 Deleted: 1546
% 80.08/80.50 Deletedinuse: 22
% 80.08/80.50
% 80.08/80.50 Resimplifying inuse:
% 80.08/80.50 Done
% 80.08/80.50
% 80.08/80.50 Resimplifying clauses:
% 80.08/80.50 Done
% 80.08/80.50
% 80.08/80.50 Resimplifying inuse:
% 80.08/80.50 Done
% 80.08/80.50
% 80.08/80.50
% 80.08/80.50 Intermediate Status:
% 80.08/80.50 Generated: 474833
% 80.08/80.50 Kept: 102135
% 80.08/80.50 Inuse: 1345
% 80.08/80.50 Deleted: 2907
% 80.08/80.50 Deletedinuse: 22
% 80.08/80.50
% 80.08/80.50 Resimplifying inuse:
% 80.08/80.50 Done
% 80.08/80.50
% 80.08/80.50
% 80.08/80.50 Intermediate Status:
% 80.08/80.50 Generated: 495473
% 80.08/80.50 Kept: 104575
% 80.08/80.50 Inuse: 1360
% 80.08/80.50 Deleted: 2907
% 80.08/80.50 Deletedinuse: 22
% 80.08/80.50
% 80.08/80.50 Resimplifying inuse:
% 80.08/80.50 Done
% 80.08/80.50
% 80.08/80.50 Resimplifying inuse:
% 80.08/80.50 Done
% 80.08/80.50
% 80.08/80.50
% 80.08/80.50 Intermediate Status:
% 80.08/80.50 Generated: 509506
% 80.08/80.50 Kept: 107830
% 80.08/80.50 Inuse: 1370
% 80.08/80.50 Deleted: 2908
% 80.08/80.50 Deletedinuse: 23
% 80.08/80.50
% 80.08/80.50 Resimplifying inuse:
% 80.08/80.50 Done
% 80.08/80.50
% 80.08/80.50 Resimplifying inuse:
% 80.08/80.50 Done
% 80.08/80.50
% 80.08/80.50
% 80.08/80.50 Intermediate Status:
% 80.08/80.50 Generated: 525549
% 80.08/80.50 Kept: 110879
% 80.08/80.50 Inuse: 1395
% 80.08/80.50 Deleted: 2908
% 80.08/80.50 Deletedinuse: 23
% 80.08/80.50
% 80.08/80.50 Resimplifying inuse:
% 80.08/80.50 Done
% 80.08/80.50
% 80.08/80.50 Resimplifying inuse:
% 80.08/80.50 Done
% 80.08/80.50
% 80.08/80.50
% 80.08/80.50 Intermediate Status:
% 80.08/80.50 Generated: 539921
% 80.08/80.50 Kept: 113791
% 80.08/80.50 Inuse: 1405
% 80.08/80.50 Deleted: 2908
% 80.08/80.50 Deletedinuse: 23
% 80.08/80.50
% 80.08/80.50 Resimplifying inuse:
% 80.08/80.50 Done
% 80.08/80.50
% 80.08/80.50 Resimplifying inuse:
% 80.08/80.50 Done
% 80.08/80.50
% 80.08/80.50
% 80.08/80.50 Intermediate Status:
% 80.08/80.50 Generated: 551614
% 80.08/80.50 Kept: 115791
% 80.08/80.50 Inuse: 1419
% 80.08/80.50 Deleted: 2908
% 80.08/80.50 Deletedinuse: 23
% 80.08/80.50
% 80.08/80.50 Resimplifying inuse:
% 80.08/80.50 Done
% 80.08/80.50
% 80.08/80.50 Resimplifying inuse:
% 80.08/80.50 Done
% 80.08/80.50
% 80.08/80.50
% 80.08/80.50 Intermediate Status:
% 80.08/80.50 Generated: 563243
% 80.08/80.50 Kept: 117815
% 80.08/80.50 Inuse: 1443
% 80.08/80.50 Deleted: 2908
% 80.08/80.50 Deletedinuse: 23
% 80.08/80.50
% 80.08/80.50
% 80.08/80.50 Intermediate Status:
% 80.08/80.50 Generated: 574208
% 80.08/80.50 Kept: 121609
% 80.08/80.50 Inuse: 1455
% 80.08/80.50 Deleted: 2908
% 80.08/80.50 Deletedinuse: 23
% 80.08/80.50
% 80.08/80.50 Resimplifying inuse:
% 80.08/80.50 Done
% 80.08/80.50
% 80.08/80.50 Resimplifying clauses:
% 80.08/80.50 Done
% 80.08/80.50
% 80.08/80.50
% 80.08/80.50 Intermediate Status:
% 80.08/80.50 Generated: 605363
% 80.08/80.50 Kept: 124975
% 80.08/80.50 Inuse: 1460
% 80.08/80.50 Deleted: 3328
% 80.08/80.50 Deletedinuse: 23
% 80.08/80.50
% 80.08/80.50 Resimplifying inuse:
% 80.08/80.50 Done
% 80.08/80.50
% 80.08/80.50 Resimplifying inuse:
% 80.08/80.50 Done
% 80.08/80.50
% 80.08/80.50
% 80.08/80.50 Intermediate Status:
% 80.08/80.50 Generated: 627595
% 80.08/80.50 Kept: 127007
% 80.08/80.50 Inuse: 1494
% 80.08/80.50 Deleted: 3329
% 80.08/80.50 Deletedinuse: 24
% 80.08/80.50
% 80.08/80.50 Resimplifying inuse:
% 80.08/80.50 Done
% 80.08/80.50
% 80.08/80.50
% 80.08/80.50 Intermediate Status:
% 80.08/80.50 Generated: 637185
% 80.08/80.50 Kept: 129079
% 80.08/80.50 Inuse: 1500
% 80.08/80.50 Deleted: 3329
% 80.08/80.50 Deletedinuse: 24
% 80.08/80.50
% 80.08/80.50 Resimplifying inuse:
% 80.08/80.50 Done
% 80.08/80.50
% 80.08/80.50
% 80.08/80.50 Intermediate Status:
% 80.08/80.50 Generated: 659288
% 80.08/80.50 Kept: 131631
% 80.08/80.50 Inuse: 1520
% 80.08/80.50 Deleted: 3337
% 80.08/80.50 Deletedinuse: 32
% 80.08/80.50
% 80.08/80.50 Resimplifying inuse:
% 80.08/80.50 Done
% 80.08/80.50
% 80.08/80.50
% 80.08/80.50 Intermediate Status:
% 80.08/80.50 Generated: 670237
% 80.08/80.50 Kept: 135741
% 80.08/80.50 Inuse: 1530
% 80.08/80.50 Deleted: 3337
% 80.08/80.50 Deletedinuse: 32
% 80.08/80.50
% 80.08/80.50 Resimplifying inuse:
% 80.08/80.50 Done
% 80.08/80.50
% 80.08/80.50 Resimplifying inuse:
% 80.08/80.50 Done
% 80.08/80.50
% 80.08/80.50
% 80.08/80.50 Intermediate Status:
% 80.08/80.50 Generated: 681787
% 80.08/80.50 Kept: 141146
% 80.08/80.50 Inuse: 1535
% 80.08/80.50 Deleted: 3337
% 80.08/80.50 Deletedinuse: 32
% 80.08/80.50
% 80.08/80.50 Resimplifying inuse:
% 80.08/80.50 Done
% 80.08/80.50
% 80.08/80.50
% 80.08/80.50 Intermediate Status:
% 80.08/80.50 Generated: 688755
% 130.92/131.43 Kept: 144902
% 130.92/131.43 Inuse: 1540
% 130.92/131.43 Deleted: 3337
% 130.92/131.43 Deletedinuse: 32
% 130.92/131.43
% 130.92/131.43 Resimplifying inuse:
% 130.92/131.43 Done
% 130.92/131.43
% 130.92/131.43 Resimplifying clauses:
% 130.92/131.43 Done
% 130.92/131.43
% 130.92/131.43
% 130.92/131.43 Intermediate Status:
% 130.92/131.43 Generated: 706037
% 130.92/131.43 Kept: 147166
% 130.92/131.43 Inuse: 1545
% 130.92/131.43 Deleted: 14188
% 130.92/131.43 Deletedinuse: 32
% 130.92/131.43
% 130.92/131.43 Resimplifying inuse:
% 130.92/131.43 Done
% 130.92/131.43
% 130.92/131.43
% 130.92/131.43 Intermediate Status:
% 130.92/131.43 Generated: 712805
% 130.92/131.43 Kept: 149447
% 130.92/131.43 Inuse: 1550
% 130.92/131.43 Deleted: 14188
% 130.92/131.43 Deletedinuse: 32
% 130.92/131.43
% 130.92/131.43 Resimplifying inuse:
% 130.92/131.43 Done
% 130.92/131.43
% 130.92/131.43 Resimplifying inuse:
% 130.92/131.43 Done
% 130.92/131.43
% 130.92/131.43
% 130.92/131.43 Intermediate Status:
% 130.92/131.43 Generated: 725921
% 130.92/131.43 Kept: 151982
% 130.92/131.43 Inuse: 1580
% 130.92/131.43 Deleted: 14188
% 130.92/131.43 Deletedinuse: 32
% 130.92/131.43
% 130.92/131.43 Resimplifying inuse:
% 130.92/131.43 Done
% 130.92/131.43
% 130.92/131.43 Resimplifying inuse:
% 130.92/131.43 Done
% 130.92/131.43
% 130.92/131.43
% 130.92/131.43 Intermediate Status:
% 130.92/131.43 Generated: 734508
% 130.92/131.43 Kept: 154467
% 130.92/131.43 Inuse: 1600
% 130.92/131.43 Deleted: 14188
% 130.92/131.43 Deletedinuse: 32
% 130.92/131.43
% 130.92/131.43 Resimplifying inuse:
% 130.92/131.43 Done
% 130.92/131.43
% 130.92/131.43 Resimplifying inuse:
% 130.92/131.43 Done
% 130.92/131.43
% 130.92/131.43
% 130.92/131.43 Intermediate Status:
% 130.92/131.43 Generated: 748539
% 130.92/131.43 Kept: 158012
% 130.92/131.43 Inuse: 1623
% 130.92/131.43 Deleted: 14188
% 130.92/131.43 Deletedinuse: 32
% 130.92/131.43
% 130.92/131.43 Resimplifying inuse:
% 130.92/131.43 Done
% 130.92/131.43
% 130.92/131.43
% 130.92/131.43 Intermediate Status:
% 130.92/131.43 Generated: 764071
% 130.92/131.43 Kept: 160428
% 130.92/131.43 Inuse: 1630
% 130.92/131.44 Deleted: 14188
% 130.92/131.44 Deletedinuse: 32
% 130.92/131.44
% 130.92/131.44 Resimplifying inuse:
% 130.92/131.44 Done
% 130.92/131.44
% 130.92/131.44 Resimplifying inuse:
% 130.92/131.44 Done
% 130.92/131.44
% 130.92/131.44
% 130.92/131.44 Intermediate Status:
% 130.92/131.44 Generated: 779065
% 130.92/131.44 Kept: 162440
% 130.92/131.44 Inuse: 1636
% 130.92/131.44 Deleted: 14188
% 130.92/131.44 Deletedinuse: 32
% 130.92/131.44
% 130.92/131.44 Resimplifying inuse:
% 130.92/131.44 Done
% 130.92/131.44
% 130.92/131.44
% 130.92/131.44 Intermediate Status:
% 130.92/131.44 Generated: 794212
% 130.92/131.44 Kept: 164470
% 130.92/131.44 Inuse: 1642
% 130.92/131.44 Deleted: 14188
% 130.92/131.44 Deletedinuse: 32
% 130.92/131.44
% 130.92/131.44 Resimplifying clauses:
% 130.92/131.44 Done
% 130.92/131.44
% 130.92/131.44 Resimplifying inuse:
% 130.92/131.44 Done
% 130.92/131.44
% 130.92/131.44
% 130.92/131.44 Intermediate Status:
% 130.92/131.44 Generated: 805764
% 130.92/131.44 Kept: 166493
% 130.92/131.44 Inuse: 1665
% 130.92/131.44 Deleted: 14260
% 130.92/131.44 Deletedinuse: 32
% 130.92/131.44
% 130.92/131.44 Resimplifying inuse:
% 130.92/131.44 Done
% 130.92/131.44
% 130.92/131.44 Resimplifying inuse:
% 130.92/131.44 Done
% 130.92/131.44
% 130.92/131.44
% 130.92/131.44 Intermediate Status:
% 130.92/131.44 Generated: 834016
% 130.92/131.44 Kept: 170394
% 130.92/131.44 Inuse: 1695
% 130.92/131.44 Deleted: 14260
% 130.92/131.44 Deletedinuse: 32
% 130.92/131.44
% 130.92/131.44 Resimplifying inuse:
% 130.92/131.44 Done
% 130.92/131.44
% 130.92/131.44 Resimplifying inuse:
% 130.92/131.44 Done
% 130.92/131.44
% 130.92/131.44
% 130.92/131.44 Intermediate Status:
% 130.92/131.44 Generated: 844702
% 130.92/131.44 Kept: 172491
% 130.92/131.44 Inuse: 1715
% 130.92/131.44 Deleted: 14260
% 130.92/131.44 Deletedinuse: 32
% 130.92/131.44
% 130.92/131.44 Resimplifying inuse:
% 130.92/131.44 Done
% 130.92/131.44
% 130.92/131.44 Resimplifying inuse:
% 130.92/131.44 Done
% 130.92/131.44
% 130.92/131.44
% 130.92/131.44 Intermediate Status:
% 130.92/131.44 Generated: 859409
% 130.92/131.44 Kept: 174520
% 130.92/131.44 Inuse: 1738
% 130.92/131.44 Deleted: 14260
% 130.92/131.44 Deletedinuse: 32
% 130.92/131.44
% 130.92/131.44 Resimplifying inuse:
% 130.92/131.44 Done
% 130.92/131.44
% 130.92/131.44 Resimplifying inuse:
% 130.92/131.44 Done
% 130.92/131.44
% 130.92/131.44
% 130.92/131.44 Intermediate Status:
% 130.92/131.44 Generated: 876328
% 130.92/131.44 Kept: 176715
% 130.92/131.44 Inuse: 1760
% 130.92/131.44 Deleted: 14260
% 130.92/131.44 Deletedinuse: 32
% 130.92/131.44
% 130.92/131.44 Resimplifying inuse:
% 130.92/131.44 Done
% 130.92/131.44
% 130.92/131.44
% 130.92/131.44 Intermediate Status:
% 130.92/131.44 Generated: 891189
% 130.92/131.44 Kept: 179476
% 130.92/131.44 Inuse: 1770
% 130.92/131.44 Deleted: 14260
% 130.92/131.44 Deletedinuse: 32
% 130.92/131.44
% 130.92/131.44 Resimplifying inuse:
% 130.92/131.44 Done
% 130.92/131.44
% 130.92/131.44 Resimplifying inuse:
% 130.92/131.44 Done
% 130.92/131.44
% 130.92/131.44
% 130.92/131.44 Intermediate Status:
% 130.92/131.44 Generated: 919342
% 130.92/131.44 Kept: 182442
% 130.92/131.44 Inuse: 1790
% 130.92/131.44 Deleted: 14260
% 130.92/131.44 Deletedinuse: 32
% 130.92/131.44
% 130.92/131.44 Resimplifying inuse:
% 130.92/131.44 Done
% 130.92/131.44
% 130.92/131.44 Resimplifying inuse:
% 130.92/131.44 Done
% 130.92/131.44
% 130.92/131.44
% 130.92/131.44 Intermediate Status:
% 130.92/131.44 Generated: 954239
% 130.92/131.44 Kept: 186318
% 130.92/131.44 Inuse: 1800
% 130.92/131.44 Deleted: 14260
% 130.92/131.44 Deletedinuse: 32
% 130.92/131.44
% 130.92/131.44 Resimplifying inuse:
% 130.92/131.44 Done
% 130.92/131.44
% 130.92/131.44 Resimplifying clauses:
% 130.92/131.44 Done
% 130.92/131.44
% 130.92/131.44 Resimplifying inuse:
% 130.92/131.44 Done
% 130.92/131.44
% 130.92/131.44
% 130.92/131.44 Intermediate Status:
% 130.92/131.44 Generated: 970123
% 130.92/131.44 Kept: 188742
% 130.92/131.44 Inuse: 1820
% 130.92/131.44 Deleted: 14514
% 130.92/131.44 Deletedinuse: 32
% 130.92/131.44
% 130.92/131.44 Resimplifying inuse:
% 130.92/131.44 Done
% 130.92/131.44
% 130.92/131.44
% 130.92/131.44 Intermediate Status:
% 130.92/131.44 Generated: 992177
% 130.92/131.44 Kept: 194235
% 130.92/131.44 Inuse: 1830
% 130.92/131.44 Deleted: 14514
% 130.92/131.44 Deletedinuse: 32
% 130.92/131.44
% 130.92/131.44 Resimplifying inuse:
% 130.92/131.44 Done
% 130.92/131.44
% 130.92/131.44 Resimplifying inuse:
% 130.92/131.44 Done
% 130.92/131.44
% 130.92/131.44
% 130.92/131.44 Intermediate Status:
% 130.92/131.44 Generated: 1000515
% 130.92/131.44 Kept: 196276
% 130.92/131.44 Inuse: 1847
% 130.92/131.44 Deleted: 14515
% 130.92/131.44 Deletedinuse: 33
% 130.92/131.44
% 130.92/131.44 Resimplifying inuse:
% 130.92/131.44 Done
% 130.92/131.44
% 130.92/131.44 Resimplifying inuse:
% 130.92/131.44 Done
% 130.92/131.44
% 130.92/131.44
% 130.92/131.44 Intermediate Status:
% 130.92/131.44 Generated: 1011997
% 130.92/131.44 Kept: 198405
% 130.92/131.44 Inuse: 1865
% 130.92/131.44 Deleted: 14515
% 130.92/131.44 Deletedinuse: 33
% 130.92/131.44
% 130.92/131.44 Resimplifying inuse:
% 130.92/131.44 Done
% 130.92/131.44
% 130.92/131.44 Resimplifying inuse:
% 130.92/131.44 Done
% 130.92/131.44
% 130.92/131.44
% 130.92/131.44 Intermediate Status:
% 130.92/131.44 Generated: 1021755
% 130.92/131.44 Kept: 200405
% 130.92/131.44 Inuse: 1877
% 130.92/131.44 Deleted: 14515
% 130.92/131.44 Deletedinuse: 33
% 130.92/131.44
% 130.92/131.44 Resimplifying inuse:
% 130.92/131.44 Done
% 130.92/131.44
% 130.92/131.44
% 130.92/131.44 Intermediate Status:
% 130.92/131.44 Generated: 1032293
% 130.92/131.44 Kept: 202807
% 130.92/131.44 Inuse: 1890
% 130.92/131.44 Deleted: 14515
% 130.92/131.44 Deletedinuse: 33
% 130.92/131.44
% 130.92/131.44 Resimplifying inuse:
% 130.92/131.44 Done
% 130.92/131.44
% 130.92/131.44 Resimplifying inuse:
% 130.92/131.44 Done
% 130.92/131.44
% 130.92/131.44
% 130.92/131.44 Intermediate Status:
% 130.92/131.44 Generated: 1050000
% 130.92/131.44 Kept: 206085
% 130.92/131.44 Inuse: 1905
% 130.92/131.44 Deleted: 14515
% 130.92/131.44 Deletedinuse: 33
% 130.92/131.44
% 130.92/131.44 Resimplifying inuse:
% 130.92/131.44 Done
% 130.92/131.44
% 130.92/131.44 Resimplifying clauses:
% 130.92/131.44 Done
% 130.92/131.44
% 130.92/131.44 Resimplifying inuse:
% 130.92/131.44 Done
% 130.92/131.44
% 130.92/131.44
% 130.92/131.44 Intermediate Status:
% 130.92/131.44 Generated: 1073936
% 168.83/169.37 Kept: 209013
% 168.83/169.37 Inuse: 1925
% 168.83/169.37 Deleted: 14849
% 168.83/169.37 Deletedinuse: 34
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37
% 168.83/169.37 Intermediate Status:
% 168.83/169.37 Generated: 1091585
% 168.83/169.37 Kept: 211994
% 168.83/169.37 Inuse: 1945
% 168.83/169.37 Deleted: 14877
% 168.83/169.37 Deletedinuse: 62
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37
% 168.83/169.37 Intermediate Status:
% 168.83/169.37 Generated: 1116564
% 168.83/169.37 Kept: 220536
% 168.83/169.37 Inuse: 1973
% 168.83/169.37 Deleted: 14877
% 168.83/169.37 Deletedinuse: 62
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37
% 168.83/169.37 Intermediate Status:
% 168.83/169.37 Generated: 1131998
% 168.83/169.37 Kept: 227866
% 168.83/169.37 Inuse: 1974
% 168.83/169.37 Deleted: 14877
% 168.83/169.37 Deletedinuse: 62
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37 Resimplifying clauses:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37
% 168.83/169.37 Intermediate Status:
% 168.83/169.37 Generated: 1147880
% 168.83/169.37 Kept: 234933
% 168.83/169.37 Inuse: 1976
% 168.83/169.37 Deleted: 16277
% 168.83/169.37 Deletedinuse: 62
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37
% 168.83/169.37 Intermediate Status:
% 168.83/169.37 Generated: 1156818
% 168.83/169.37 Kept: 239848
% 168.83/169.37 Inuse: 1980
% 168.83/169.37 Deleted: 16277
% 168.83/169.37 Deletedinuse: 62
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37
% 168.83/169.37 Intermediate Status:
% 168.83/169.37 Generated: 1165166
% 168.83/169.37 Kept: 241857
% 168.83/169.37 Inuse: 1995
% 168.83/169.37 Deleted: 16277
% 168.83/169.37 Deletedinuse: 62
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37
% 168.83/169.37 Intermediate Status:
% 168.83/169.37 Generated: 1170713
% 168.83/169.37 Kept: 243858
% 168.83/169.37 Inuse: 2004
% 168.83/169.37 Deleted: 16277
% 168.83/169.37 Deletedinuse: 62
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37
% 168.83/169.37 Intermediate Status:
% 168.83/169.37 Generated: 1176859
% 168.83/169.37 Kept: 245968
% 168.83/169.37 Inuse: 2011
% 168.83/169.37 Deleted: 16277
% 168.83/169.37 Deletedinuse: 62
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37 Resimplifying clauses:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37
% 168.83/169.37 Intermediate Status:
% 168.83/169.37 Generated: 1185733
% 168.83/169.37 Kept: 248125
% 168.83/169.37 Inuse: 2021
% 168.83/169.37 Deleted: 16558
% 168.83/169.37 Deletedinuse: 62
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37
% 168.83/169.37 Intermediate Status:
% 168.83/169.37 Generated: 1202295
% 168.83/169.37 Kept: 251090
% 168.83/169.37 Inuse: 2030
% 168.83/169.37 Deleted: 16558
% 168.83/169.37 Deletedinuse: 62
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37
% 168.83/169.37 Intermediate Status:
% 168.83/169.37 Generated: 1215189
% 168.83/169.37 Kept: 253195
% 168.83/169.37 Inuse: 2040
% 168.83/169.37 Deleted: 16558
% 168.83/169.37 Deletedinuse: 62
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37
% 168.83/169.37 Intermediate Status:
% 168.83/169.37 Generated: 1232104
% 168.83/169.37 Kept: 257381
% 168.83/169.37 Inuse: 2060
% 168.83/169.37 Deleted: 16559
% 168.83/169.37 Deletedinuse: 63
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37
% 168.83/169.37 Intermediate Status:
% 168.83/169.37 Generated: 1242779
% 168.83/169.37 Kept: 259884
% 168.83/169.37 Inuse: 2065
% 168.83/169.37 Deleted: 16559
% 168.83/169.37 Deletedinuse: 63
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37
% 168.83/169.37 Intermediate Status:
% 168.83/169.37 Generated: 1269992
% 168.83/169.37 Kept: 263013
% 168.83/169.37 Inuse: 2070
% 168.83/169.37 Deleted: 16559
% 168.83/169.37 Deletedinuse: 63
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37
% 168.83/169.37 Intermediate Status:
% 168.83/169.37 Generated: 1282935
% 168.83/169.37 Kept: 265025
% 168.83/169.37 Inuse: 2081
% 168.83/169.37 Deleted: 16559
% 168.83/169.37 Deletedinuse: 63
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37
% 168.83/169.37 Intermediate Status:
% 168.83/169.37 Generated: 1299063
% 168.83/169.37 Kept: 267804
% 168.83/169.37 Inuse: 2095
% 168.83/169.37 Deleted: 16559
% 168.83/169.37 Deletedinuse: 63
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37 Resimplifying clauses:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37
% 168.83/169.37 Intermediate Status:
% 168.83/169.37 Generated: 1314707
% 168.83/169.37 Kept: 270560
% 168.83/169.37 Inuse: 2110
% 168.83/169.37 Deleted: 16841
% 168.83/169.37 Deletedinuse: 63
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37
% 168.83/169.37 Intermediate Status:
% 168.83/169.37 Generated: 1330864
% 168.83/169.37 Kept: 273676
% 168.83/169.37 Inuse: 2125
% 168.83/169.37 Deleted: 16841
% 168.83/169.37 Deletedinuse: 63
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37
% 168.83/169.37 Intermediate Status:
% 168.83/169.37 Generated: 1350965
% 168.83/169.37 Kept: 275684
% 168.83/169.37 Inuse: 2130
% 168.83/169.37 Deleted: 16841
% 168.83/169.37 Deletedinuse: 63
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37
% 168.83/169.37 Intermediate Status:
% 168.83/169.37 Generated: 1371194
% 168.83/169.37 Kept: 277697
% 168.83/169.37 Inuse: 2135
% 168.83/169.37 Deleted: 16841
% 168.83/169.37 Deletedinuse: 63
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37
% 168.83/169.37 Intermediate Status:
% 168.83/169.37 Generated: 1381855
% 168.83/169.37 Kept: 280889
% 168.83/169.37 Inuse: 2145
% 168.83/169.37 Deleted: 16841
% 168.83/169.37 Deletedinuse: 63
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37
% 168.83/169.37 Intermediate Status:
% 168.83/169.37 Generated: 1389497
% 168.83/169.37 Kept: 282924
% 168.83/169.37 Inuse: 2157
% 168.83/169.37 Deleted: 16841
% 168.83/169.37 Deletedinuse: 63
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37
% 168.83/169.37 Intermediate Status:
% 168.83/169.37 Generated: 1410116
% 168.83/169.37 Kept: 284941
% 168.83/169.37 Inuse: 2162
% 168.83/169.37 Deleted: 16841
% 168.83/169.37 Deletedinuse: 63
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37
% 168.83/169.37 Intermediate Status:
% 168.83/169.37 Generated: 1428188
% 168.83/169.37 Kept: 289055
% 168.83/169.37 Inuse: 2175
% 168.83/169.37 Deleted: 16841
% 168.83/169.37 Deletedinuse: 63
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37 Resimplifying clauses:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37
% 168.83/169.37 Intermediate Status:
% 168.83/169.37 Generated: 1443071
% 168.83/169.37 Kept: 291495
% 168.83/169.37 Inuse: 2180
% 168.83/169.37 Deleted: 16879
% 168.83/169.37 Deletedinuse: 63
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37
% 168.83/169.37 Intermediate Status:
% 168.83/169.37 Generated: 1474966
% 168.83/169.37 Kept: 294675
% 168.83/169.37 Inuse: 2195
% 168.83/169.37 Deleted: 16879
% 168.83/169.37 Deletedinuse: 63
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37
% 168.83/169.37 Intermediate Status:
% 168.83/169.37 Generated: 1497174
% 168.83/169.37 Kept: 296799
% 168.83/169.37 Inuse: 2200
% 168.83/169.37 Deleted: 16879
% 168.83/169.37 Deletedinuse: 63
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37
% 168.83/169.37 Intermediate Status:
% 168.83/169.37 Generated: 1518063
% 168.83/169.37 Kept: 299316
% 168.83/169.37 Inuse: 2205
% 168.83/169.37 Deleted: 16879
% 168.83/169.37 Deletedinuse: 63
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37
% 168.83/169.37 Intermediate Status:
% 168.83/169.37 Generated: 1538963
% 168.83/169.37 Kept: 302029
% 168.83/169.37 Inuse: 2210
% 168.83/169.37 Deleted: 16879
% 168.83/169.37 Deletedinuse: 63
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37
% 168.83/169.37 Intermediate Status:
% 168.83/169.37 Generated: 1560309
% 168.83/169.37 Kept: 304406
% 168.83/169.37 Inuse: 2215
% 168.83/169.37 Deleted: 16879
% 168.83/169.37 Deletedinuse: 63
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37
% 168.83/169.37 Intermediate Status:
% 168.83/169.37 Generated: 1581664
% 168.83/169.37 Kept: 306785
% 168.83/169.37 Inuse: 2220
% 168.83/169.37 Deleted: 16879
% 168.83/169.37 Deletedinuse: 63
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37
% 168.83/169.37 Intermediate Status:
% 168.83/169.37 Generated: 1594588
% 168.83/169.37 Kept: 309415
% 168.83/169.37 Inuse: 2225
% 168.83/169.37 Deleted: 16879
% 168.83/169.37 Deletedinuse: 63
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37 Resimplifying clauses:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37
% 168.83/169.37 Intermediate Status:
% 168.83/169.37 Generated: 1605081
% 168.83/169.37 Kept: 311432
% 168.83/169.37 Inuse: 2239
% 168.83/169.37 Deleted: 16958
% 168.83/169.37 Deletedinuse: 63
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37
% 168.83/169.37 Intermediate Status:
% 168.83/169.37 Generated: 1613057
% 168.83/169.37 Kept: 313477
% 168.83/169.37 Inuse: 2248
% 168.83/169.37 Deleted: 16959
% 168.83/169.37 Deletedinuse: 64
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37
% 168.83/169.37 Intermediate Status:
% 168.83/169.37 Generated: 1633616
% 168.83/169.37 Kept: 315499
% 168.83/169.37 Inuse: 2251
% 168.83/169.37 Deleted: 16959
% 168.83/169.37 Deletedinuse: 64
% 168.83/169.37
% 168.83/169.37
% 168.83/169.37 Intermediate Status:
% 168.83/169.37 Generated: 1645700
% 168.83/169.37 Kept: 317981
% 168.83/169.37 Inuse: 2255
% 168.83/169.37 Deleted: 16959
% 168.83/169.37 Deletedinuse: 64
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37
% 168.83/169.37 Intermediate Status:
% 168.83/169.37 Generated: 1654811
% 168.83/169.37 Kept: 320635
% 168.83/169.37 Inuse: 2265
% 168.83/169.37 Deleted: 16959
% 168.83/169.37 Deletedinuse: 64
% 168.83/169.37
% 168.83/169.37 Resimplifying inuse:
% 168.83/169.37 Done
% 168.83/169.37
% 168.83/169.37
% 168.83/169.37 Bliksems!, er is een bewijs:
% 168.83/169.37 % SZS status Unsatisfiable
% 168.83/169.37 % SZS output start Refutation
% 168.83/169.37
% 168.83/169.37 clause( 513, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'(
% 168.83/169.37 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB',
% 168.83/169.37 'tc_Lambda_OdB' ) ) ), ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', Y,
% 168.83/169.37 'tc_Lambda_OdB' ) ) ] )
% 168.83/169.37 .
% 168.83/169.37 clause( 530, [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T, Z ),
% 168.83/169.37 Y ) ] )
% 168.83/169.37 .
% 168.83/169.37 clause( 534, [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U ), W
% 168.83/169.37 , U ), 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U ) ) ] )
% 168.83/169.37 .
% 168.83/169.37 clause( 539, [ 'c_List_Olistsp'( 'c_InductTermi_OIT', 'c_List_Olist_OCons'(
% 168.83/169.37 hAPP( hAPP( 'c_Lambda_Olift', 'v_ta____' ), 'c_HOL_Ozero__class_Ozero'(
% 168.83/169.37 'tc_nat' ) ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 168.83/169.37 'tc_Lambda_OdB' ) ] )
% 168.83/169.37 .
% 168.83/169.37 clause( 540, [ ~( hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'(
% 168.83/169.37 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( 'c_HOL_Ozero__class_Ozero'(
% 168.83/169.37 'tc_nat' ) ), 'c_List_Olist_OCons'( hAPP( hAPP( 'c_Lambda_Olift',
% 168.83/169.37 'v_ta____' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 168.83/169.37 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 168.83/169.37 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ) ] )
% 168.83/169.37 .
% 168.83/169.37 clause( 312590, [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z,
% 168.83/169.37 'c_List_Olist_ONil'( T ), T ), U, T ), hAPP( hAPP( X, Y ), Z ) ) ] )
% 168.83/169.37 .
% 168.83/169.37 clause( 319466, [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP(
% 168.83/169.37 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ) ), hAPP( hAPP(
% 168.83/169.37 'c_Lambda_Olift', 'v_ta____' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 168.83/169.37 ) ) ) ] )
% 168.83/169.37 .
% 168.83/169.37 clause( 320951, [] )
% 168.83/169.37 .
% 168.83/169.37
% 168.83/169.37
% 168.83/169.37 % SZS output end Refutation
% 168.83/169.37 found a proof!
% 168.83/169.37
% 168.83/169.37 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 168.83/169.37
% 168.83/169.37 initialclauses(
% 168.83/169.37 [ clause( 320953, [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y
% 168.83/169.37 ), 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ] )
% 168.83/169.37 , clause( 320954, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 168.83/169.37 ), 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ),
% 168.83/169.37 T ), X ), ~( 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, hAPP(
% 168.83/169.37 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ), X ) ) ] )
% 168.83/169.37 , clause( 320955, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 168.83/169.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~(
% 168.83/169.37 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 168.83/169.37 , clause( 320956, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 168.83/169.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 168.83/169.37 , X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 168.83/169.37 , clause( 320957, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 168.83/169.37 Y, Y, X ) ] )
% 168.83/169.37 , clause( 320958, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 168.83/169.37 Y, X ) ] )
% 168.83/169.37 , clause( 320959, [ 'c_lessequals'( X, X, 'tc_nat' ) ] )
% 168.83/169.37 , clause( 320960, [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z
% 168.83/169.37 , Y, 'tc_nat' ) ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ] )
% 168.83/169.37 , clause( 320961, [ 'c_lessequals'( X, X, 'tc_nat' ) ] )
% 168.83/169.37 , clause( 320962, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 168.83/169.37 Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 168.83/169.37 ] )
% 168.83/169.37 , clause( 320963, [ ~( 'class_Orderings_Oorder'( X ) ),
% 168.83/169.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 168.83/169.37 , X ) ), ~( 'c_lessequals'( T, Z, X ) ) ] )
% 168.83/169.37 , clause( 320964, [ ~( 'class_Orderings_Oorder'( X ) ),
% 168.83/169.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 168.83/169.37 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 168.83/169.37 , clause( 320965, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 168.83/169.37 Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 168.83/169.37 )
% 168.83/169.37 , clause( 320966, [ ~( =( X, 'c_Suc'( X ) ) ) ] )
% 168.83/169.37 , clause( 320967, [ ~( =( 'c_Suc'( X ), X ) ) ] )
% 168.83/169.37 , clause( 320968, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 168.83/169.37 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 168.83/169.37 , 'tc_nat' ), X ), 'c_HOL_Ominus__class_Ominus'(
% 168.83/169.37 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 168.83/169.37 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ), ~( 'c_lessequals'( Z
% 168.83/169.37 , Y, 'tc_nat' ) ) ] )
% 168.83/169.37 , clause( 320969, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'(
% 168.83/169.37 X, Y, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ),
% 168.83/169.37 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~(
% 168.83/169.37 'c_lessequals'( Y, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) )
% 168.83/169.37 ] )
% 168.83/169.37 , clause( 320970, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 168.83/169.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' )
% 168.83/169.37 , 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 168.83/169.37 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 168.83/169.37 ] )
% 168.83/169.37 , clause( 320971, [ ~( 'c_lessequals'( 'c_Suc'( X ), X, 'tc_nat' ) ) ] )
% 168.83/169.37 , clause( 320972, [ 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 168.83/169.37 'c_lessequals'( X, Y, 'tc_nat' ) ) ] )
% 168.83/169.37 , clause( 320973, [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 168.83/169.37 'c_Suc'( X ), Y, 'tc_nat' ) ) ] )
% 168.83/169.37 , clause( 320974, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 168.83/169.37 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 168.83/169.37 X ), Z, X ) ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y,
% 168.83/169.37 'c_Suc'( T ), X ), 'c_Power_Opower__class_Opower'( Z, 'c_Suc'( T ), X ),
% 168.83/169.37 X ) ) ] )
% 168.83/169.37 , clause( 320975, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 168.83/169.37 X ) ), 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 168.83/169.37 Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 168.83/169.37 'c_lessequals'( Z, T, X ) ) ] )
% 168.83/169.37 , clause( 320976, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 168.83/169.37 X ) ), 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 168.83/169.37 Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 168.83/169.37 'c_lessequals'( Y, T, X ) ) ] )
% 168.83/169.37 , clause( 320977, [ ~(
% 168.83/169.37 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 168.83/169.37 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 168.83/169.37 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 168.83/169.37 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ] )
% 168.83/169.37 , clause( 320978, [ ~(
% 168.83/169.37 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 168.83/169.37 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 168.83/169.37 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 168.83/169.37 'c_lessequals'( Z, T, X ) ) ] )
% 168.83/169.37 , clause( 320979, [ ~(
% 168.83/169.37 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 168.83/169.37 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 168.83/169.37 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 168.83/169.37 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ] )
% 168.83/169.37 , clause( 320980, [ ~(
% 168.83/169.37 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 168.83/169.37 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 168.83/169.37 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 168.83/169.37 'c_lessequals'( Y, T, X ) ) ] )
% 168.83/169.37 , clause( 320981, [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' )
% 168.83/169.37 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 168.83/169.37 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ] )
% 168.83/169.37 , clause( 320982, [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' )
% 168.83/169.37 ] )
% 168.83/169.37 , clause( 320983, [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' )
% 168.83/169.37 ] )
% 168.83/169.37 , clause( 320984, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 168.83/169.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 168.83/169.37 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), X ), ~(
% 168.83/169.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 168.83/169.37 , clause( 320985, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 168.83/169.37 Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 168.83/169.37 , clause( 320986, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 168.83/169.37 Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 168.83/169.37 , clause( 320987, [ 'c_lessequals'( X, Y, 'tc_nat' ), ~(
% 168.83/169.37 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ] )
% 168.83/169.37 , clause( 320988, [ 'c_lessequals'( X, Y, 'tc_nat' ), ~(
% 168.83/169.37 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ] )
% 168.83/169.37 , clause( 320989, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 168.83/169.37 ), 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 168.83/169.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 168.83/169.37 , clause( 320990, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 168.83/169.37 ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 168.83/169.37 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 168.83/169.37 , X ) ) ] )
% 168.83/169.37 , clause( 320991, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 168.83/169.37 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 168.83/169.37 , clause( 320992, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 168.83/169.37 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 168.83/169.37 , clause( 320993, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 168.83/169.37 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 168.83/169.37 , clause( 320994, [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~(
% 168.83/169.37 'c_lessequals'( X, Y, 'tc_nat' ) ) ] )
% 168.83/169.37 , clause( 320995, [ =( 'c_List_Oset'( 'c_List_Orev'( X, Y ), Y ),
% 168.83/169.37 'c_List_Oset'( X, Y ) ) ] )
% 168.83/169.37 , clause( 320996, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 168.83/169.37 ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 168.83/169.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 168.83/169.37 , clause( 320997, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 168.83/169.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ), ~(
% 168.83/169.37 'c_lessequals'( Y, Z, X ) ) ] )
% 168.83/169.37 , clause( 320998, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'(
% 168.83/169.37 X, Y, 'tc_nat' ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 168.83/169.37 'tc_nat' ) ) ] )
% 168.83/169.37 , clause( 320999, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 168.83/169.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'(
% 168.83/169.37 X ), X ) ] )
% 168.83/169.37 , clause( 321000, [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y
% 168.83/169.37 ), 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ] )
% 168.83/169.37 , clause( 321001, [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X
% 168.83/169.37 ), 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ] )
% 168.83/169.37 , clause( 321002, [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' )
% 168.83/169.37 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ] )
% 168.83/169.37 , clause( 321003, [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), 'c_Suc'(
% 168.83/169.37 Y ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ] )
% 168.83/169.37 , clause( 321004, [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ] )
% 168.83/169.37 , clause( 321005, [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ] )
% 168.83/169.37 , clause( 321006, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'(
% 168.83/169.37 X, Y, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ),
% 168.83/169.37 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ), ~(
% 168.83/169.37 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ] )
% 168.83/169.37 , clause( 321007, [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), Y,
% 168.83/169.37 'tc_nat' ), 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ),
% 168.83/169.37 ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ] )
% 168.83/169.37 , clause( 321008, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 168.83/169.37 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 168.83/169.37 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~( 'c_lessequals'( Y,
% 168.83/169.37 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 168.83/169.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z,
% 168.83/169.37 'tc_nat' ) ) ] )
% 168.83/169.37 , clause( 321009, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 168.83/169.37 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ] )
% 168.83/169.37 , clause( 321010, [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 168.83/169.37 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ] )
% 168.83/169.37 , clause( 321011, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 168.83/169.37 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ] )
% 168.83/169.37 , clause( 321012, [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 168.83/169.37 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ] )
% 168.83/169.37 , clause( 321013, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 168.83/169.37 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 168.83/169.37 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 168.83/169.37 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 168.83/169.37 , clause( 321014, [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 168.83/169.37 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X, Y,
% 168.83/169.37 'tc_nat' ) ) ] )
% 168.83/169.37 , clause( 321015, [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 168.83/169.37 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_lessequals'( X, Y,
% 168.83/169.37 'tc_nat' ) ] )
% 168.83/169.37 , clause( 321016, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 168.83/169.37 'c_lessequals'( Y, Z, 'tc_nat' ), ~( 'c_lessequals'(
% 168.83/169.37 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 168.83/169.37 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ] )
% 168.83/169.37 , clause( 321017, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 168.83/169.37 'c_lessequals'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 168.83/169.37 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~( 'c_lessequals'( Y,
% 168.83/169.37 Z, 'tc_nat' ) ) ] )
% 168.83/169.37 , clause( 321018, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 168.83/169.37 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z
% 168.83/169.37 , X ) ), Z ), Y ) ] )
% 168.83/169.37 , clause( 321019, [ 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( Y, Z, T ),
% 168.83/169.37 'c_List_Oappend'( Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z, U, T ) )
% 168.83/169.37 ] )
% 168.83/169.37 , clause( 321020, [ ~( 'c_ListOrder_Ostep1'( X, Y, Z, T ) ),
% 168.83/169.37 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( Y, U, T ), 'c_List_Oappend'( Z
% 168.83/169.37 , U, T ), T ) ] )
% 168.83/169.37 , clause( 321021, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 168.83/169.37 X ) ), 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 168.83/169.37 Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 168.83/169.37 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 168.83/169.37 , clause( 321022, [ 'c_lessequals'( X, 'c_List_Olist_Olist__size'( Y, Z, T
% 168.83/169.37 ), 'tc_nat' ), ~( 'c_lessequals'( X, hAPP( Y, U ), 'tc_nat' ) ), ~(
% 168.83/169.37 'c_in'( U, 'c_List_Oset'( Z, T ), T ) ) ] )
% 168.83/169.37 , clause( 321023, [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' )
% 168.83/169.37 , ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ] )
% 168.83/169.37 , clause( 321024, [ 'c_lessequals'( X, Y, 'tc_nat' ), ~(
% 168.83/169.37 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ] )
% 168.83/169.37 , clause( 321025, [ ~( 'c_lessequals'( X, X, 'tc_nat' ) ),
% 168.83/169.37 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ] )
% 168.83/169.37 , clause( 321026, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'(
% 168.83/169.37 X, Y, 'tc_nat' ), 'c_Suc'( X ), 'tc_nat' ) ] )
% 168.83/169.37 , clause( 321027, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 168.83/169.37 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 168.83/169.37 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 168.83/169.37 , clause( 321028, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 168.83/169.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 168.83/169.37 , clause( 321029, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 168.83/169.37 'c_lessequals'( Y, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ]
% 168.83/169.37 )
% 168.83/169.37 , clause( 321030, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 168.83/169.37 'c_HOL_Oord__class_Oless'( Y, Y, X ), 'c_lessequals'( Y, Y, X ) ] )
% 168.83/169.37 , clause( 321031, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 168.83/169.37 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 168.83/169.37 )
% 168.83/169.37 , clause( 321032, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 168.83/169.37 Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 168.83/169.37 , clause( 321033, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 168.83/169.37 'c_lessequals'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ]
% 168.83/169.37 )
% 168.83/169.37 , clause( 321034, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 168.83/169.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 168.83/169.37 , clause( 321035, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 168.83/169.37 'c_lessequals'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ]
% 168.83/169.37 )
% 168.83/169.37 , clause( 321036, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 168.83/169.37 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 168.83/169.37 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~( 'c_lessequals'(
% 168.83/169.37 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T,
% 168.83/169.37 'tc_nat' ) ) ] )
% 168.83/169.37 , clause( 321037, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 168.83/169.37 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 168.83/169.37 ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ] )
% 168.83/169.37 , clause( 321038, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 168.83/169.37 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 168.83/169.37 ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ] )
% 168.83/169.37 , clause( 321039, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 168.83/169.37 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ] )
% 168.83/169.37 , clause( 321040, [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' )
% 168.83/169.37 , ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ] )
% 168.83/169.37 , clause( 321041, [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 168.83/169.37 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ), X ), ~(
% 168.83/169.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 168.83/169.37 'tc_nat' ) ) ] )
% 168.83/169.37 , clause( 321042, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 168.83/169.37 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 168.83/169.37 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( U, T, X ),
% 168.83/169.37 ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 168.83/169.37 , clause( 321043, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 168.83/169.37 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 168.83/169.37 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( Z, Y, X ),
% 168.83/169.37 ~( 'c_lessequals'( U, T, X ) ) ] )
% 168.83/169.37 , clause( 321044, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 168.83/169.37 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 168.83/169.37 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( T
% 168.83/169.37 , U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 168.83/169.37 , clause( 321045, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 168.83/169.37 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 168.83/169.37 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y
% 168.83/169.37 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U, X ) ) ] )
% 168.83/169.37 , clause( 321046, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'(
% 168.83/169.37 X, 'c_Suc'( Y ), 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 168.83/169.37 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ] )
% 168.83/169.37 , clause( 321047, [ ~( 'class_Orderings_Oorder'( X ) ),
% 168.83/169.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ), ~( 'c_lessequals'( Y, Z
% 168.83/169.37 , X ) ) ] )
% 168.83/169.37 , clause( 321048, [ ~( 'class_Orderings_Oorder'( X ) ),
% 168.83/169.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 168.83/169.37 Z, Y ) ] )
% 168.83/169.37 , clause( 321049, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y )
% 168.83/169.37 , ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ] )
% 168.83/169.37 , clause( 321050, [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' )
% 168.83/169.37 , ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ] )
% 168.83/169.37 , clause( 321051, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y )
% 168.83/169.37 , ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ] )
% 168.83/169.37 , clause( 321052, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 168.83/169.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 168.83/169.37 , clause( 321053, [ ~( 'class_Orderings_Oorder'( X ) ),
% 168.83/169.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 168.83/169.37 , X ) ) ] )
% 168.83/169.37 , clause( 321054, [ ~( 'class_Orderings_Oorder'( X ) ),
% 168.83/169.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 168.83/169.37 , X ) ) ] )
% 168.83/169.37 , clause( 321055, [ ~( 'class_Orderings_Oorder'( X ) ),
% 168.83/169.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 168.83/169.37 Y, Z ) ] )
% 168.83/169.37 , clause( 321056, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~(
% 168.83/169.37 'c_lessequals'( Y, Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ] )
% 168.83/169.37 , clause( 321057, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 168.83/169.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 168.83/169.37 , clause( 321058, [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 168.83/169.37 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ] )
% 168.83/169.37 , clause( 321059, [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' )
% 168.83/169.37 , ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ] )
% 168.83/169.37 , clause( 321060, [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X
% 168.83/169.37 , 'tc_nat' ) ] )
% 168.83/169.37 , clause( 321061, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 168.83/169.37 Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 168.83/169.37 , clause( 321062, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 168.83/169.37 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z
% 168.83/169.37 ), X ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 168.83/169.37 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 168.83/169.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 168.83/169.37 , clause( 321063, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 168.83/169.37 Y, Z, X ), ~( 'c_in'( Z, 'c_List_Oset'( T, X ), X ) ), ~(
% 168.83/169.37 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( Y, T, X ), X ) )
% 168.83/169.37 ] )
% 168.83/169.37 , clause( 321064, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 168.83/169.37 Y, Z, X ), ~( 'c_in'( Z, 'c_List_Oset'( T, X ), X ) ), ~( 'c_in'( Y,
% 168.83/169.37 'c_List_Oset'( U, X ), X ) ), ~( 'c_List_Olinorder__class_Osorted'(
% 168.83/169.37 'c_List_Oappend'( U, T, X ), X ) ) ] )
% 168.83/169.37 , clause( 321065, [ =( 'c_List_Olength__unique'( 'c_List_Olist_OCons'( X, Y
% 168.83/169.37 , Z ), Z ), 'c_Suc'( 'c_List_Olength__unique'( Y, Z ) ) ), 'c_in'( X,
% 168.83/169.37 'c_List_Oset'( Y, Z ), Z ) ] )
% 168.83/169.37 , clause( 321066, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 168.83/169.37 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 168.83/169.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 168.83/169.37 , clause( 321067, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 168.83/169.37 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 168.83/169.37 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 168.83/169.37 , X ) ) ] )
% 168.83/169.37 , clause( 321068, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 168.83/169.37 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 168.83/169.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 168.83/169.37 , X ) ) ] )
% 168.83/169.37 , clause( 321069, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 168.83/169.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 168.83/169.37 'c_HOL_Oone__class_Oone'( X ), X ) ] )
% 168.83/169.37 , clause( 321070, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 168.83/169.37 ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 168.83/169.37 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 168.83/169.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 168.83/169.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 168.83/169.37 , clause( 321071, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 168.83/169.37 ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 168.83/169.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 168.83/169.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 168.83/169.37 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 168.83/169.37 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 168.83/169.37 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 168.83/169.37 , clause( 321072, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 168.83/169.37 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 168.83/169.37 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~( 'c_lessequals'(
% 168.83/169.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 168.83/169.37 , clause( 321073, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 168.83/169.37 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 168.83/169.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 168.83/169.37 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ] )
% 168.83/169.37 , clause( 321074, [ ~(
% 168.83/169.37 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 168.83/169.37 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y, hAPP(
% 168.83/169.37 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 168.83/169.37 Y, T, X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 168.83/169.37 ] )
% 168.83/169.37 , clause( 321075, [ ~(
% 168.83/169.37 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 168.83/169.37 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y, hAPP(
% 168.83/169.37 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 168.83/169.38 Y, Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) )
% 168.83/169.38 ] )
% 168.83/169.38 , clause( 321076, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 168.83/169.38 ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 168.83/169.38 , clause( 321077, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 168.83/169.38 ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 168.83/169.38 , clause( 321078, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 168.83/169.38 ), 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y )
% 168.83/169.38 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 168.83/169.38 , clause( 321079, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 168.83/169.38 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 168.83/169.38 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 168.83/169.38 , clause( 321080, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 168.83/169.38 ) ), 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z
% 168.83/169.38 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 168.83/169.38 , clause( 321081, [ ~(
% 168.83/169.38 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 168.83/169.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 168.83/169.38 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 168.83/169.38 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 168.83/169.38 )
% 168.83/169.38 , clause( 321082, [ ~(
% 168.83/169.38 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 168.83/169.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 168.83/169.38 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 168.83/169.38 )
% 168.83/169.38 , clause( 321083, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 168.83/169.38 , Y ), 'c_HOL_Oone__class_Oone'( X ) ), X ) ] )
% 168.83/169.38 , clause( 321084, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 168.83/169.38 'class_Int_Onumber'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 168.83/169.38 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 168.83/169.38 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 168.83/169.38 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 168.83/169.38 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ] )
% 168.83/169.38 , clause( 321085, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 168.83/169.38 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 168.83/169.38 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 168.83/169.38 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 168.83/169.38 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 168.83/169.38 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ] )
% 168.83/169.38 , clause( 321086, [ 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ), =( X, T ), ~(
% 168.83/169.38 'c_in'( X, 'c_List_Oset'( 'c_List_Olist_OCons'( T, Y, Z ), Z ), Z ) ) ]
% 168.83/169.38 )
% 168.83/169.38 , clause( 321087, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 168.83/169.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 168.83/169.38 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ] )
% 168.83/169.38 , clause( 321088, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 168.83/169.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 168.83/169.38 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ] )
% 168.83/169.38 , clause( 321089, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 168.83/169.38 'tc_nat' ), 'c_Suc'( X ), 'tc_nat' ) ] )
% 168.83/169.38 , clause( 321090, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 168.83/169.38 'tc_nat' ), 'c_Suc'( X ), 'tc_nat' ) ] )
% 168.83/169.38 , clause( 321091, [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 168.83/169.38 'tc_nat' ) ), 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321092, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 168.83/169.38 'tc_nat' ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' )
% 168.83/169.38 ] )
% 168.83/169.38 , clause( 321093, [ hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 168.83/169.38 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~( hBOOL( hAPP( X
% 168.83/169.38 , 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ) ) ] )
% 168.83/169.38 , clause( 321094, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 168.83/169.38 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321095, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 168.83/169.38 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 'tc_nat' ),
% 168.83/169.38 ~( 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321096, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'(
% 168.83/169.38 X, Y, 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 168.83/169.38 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321097, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 168.83/169.38 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 168.83/169.38 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~( 'c_lessequals'(
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 168.83/169.38 ] )
% 168.83/169.38 , clause( 321098, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 168.83/169.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 168.83/169.38 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 168.83/169.38 , clause( 321099, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 168.83/169.38 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ),
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 168.83/169.38 , clause( 321100, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 168.83/169.38 ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 168.83/169.38 'c_Power_Opower__class_Opower'( Y, T, X ) ) ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Z
% 168.83/169.38 , T ) ] )
% 168.83/169.38 , clause( 321101, [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Omap'( U, Y
% 168.83/169.38 , Z, T ) ) ), =( hAPP( X, W ), hAPP( U, W ) ), ~( 'c_in'( W,
% 168.83/169.38 'c_List_Oset'( Y, Z ), Z ) ) ] )
% 168.83/169.38 , clause( 321102, [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist_OCons'( X
% 168.83/169.38 , Y, Z ), 'tc_List_Olist'( Z ) ), 'c_Suc'( 'c_Nat_Osize__class_Osize'( Y
% 168.83/169.38 , 'tc_List_Olist'( Z ) ) ) ) ] )
% 168.83/169.38 , clause( 321103, [ =( 'c_Suc'( 'c_Nat_Osize__class_Osize'( X,
% 168.83/169.38 'tc_List_Olist'( Y ) ) ), 'c_Nat_Osize__class_Osize'(
% 168.83/169.38 'c_List_Olist_OCons'( Z, X, Y ), 'tc_List_Olist'( Y ) ) ) ] )
% 168.83/169.38 , clause( 321104, [ ~( 'c_lessequals'( 'c_Nat_Osize__class_Osize'(
% 168.83/169.38 'c_List_Olist_OCons'( X, Y, Z ), 'tc_List_Olist'( Z ) ),
% 168.83/169.38 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321105, [ ~( 'class_Power_Opower'( X ) ), =(
% 168.83/169.38 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 168.83/169.38 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 168.83/169.38 , clause( 321106, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 168.83/169.38 =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 168.83/169.38 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 168.83/169.38 , clause( 321107, [ =( 'c_List_Ohd'( 'c_List_Oappend'( X, Y, Z ), Z ),
% 168.83/169.38 'c_List_Ohd'( X, Z ) ), =( X, 'c_List_Olist_ONil'( Z ) ) ] )
% 168.83/169.38 , clause( 321108, [ =( 'c_List_Ohd'( 'c_List_Oappend'( 'c_List_Olist_ONil'(
% 168.83/169.38 X ), Y, X ), X ), 'c_List_Ohd'( Y, X ) ) ] )
% 168.83/169.38 , clause( 321109, [ 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ), ~( 'c_in'( X,
% 168.83/169.38 'c_List_Oset'( 'c_List_Otake'( T, Y, Z ), Z ), Z ) ) ] )
% 168.83/169.38 , clause( 321110, [ 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ), ~( 'c_in'( X,
% 168.83/169.38 'c_List_Oset'( 'c_List_Odrop'( T, Y, Z ), Z ), Z ) ) ] )
% 168.83/169.38 , clause( 321111, [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ),
% 168.83/169.38 'c_Suc'( T ), Z ), 'c_List_Onth'( Y, T, Z ) ) ] )
% 168.83/169.38 , clause( 321112, [ =( 'c_List_Otake'( 'c_Suc'( X ), 'c_List_Olist_OCons'(
% 168.83/169.38 Y, Z, T ), T ), 'c_List_Olist_OCons'( Y, 'c_List_Otake'( X, Z, T ), T ) )
% 168.83/169.38 ] )
% 168.83/169.38 , clause( 321113, [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, 'c_List_Oset'(
% 168.83/169.38 'c_List_OtakeWhile'( X, Z, T ), T ), T ) ) ] )
% 168.83/169.38 , clause( 321114, [ 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ), ~( 'c_in'( X,
% 168.83/169.38 'c_List_Oset'( 'c_List_OtakeWhile'( T, Y, Z ), Z ), Z ) ) ] )
% 168.83/169.38 , clause( 321115, [ ~( =( 'c_List_OtakeWhile'( X, Y, Z ), Y ) ), hBOOL(
% 168.83/169.38 hAPP( X, T ) ), ~( 'c_in'( T, 'c_List_Oset'( Y, Z ), Z ) ) ] )
% 168.83/169.38 , clause( 321116, [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, 'c_List_Oset'( Z,
% 168.83/169.38 T ), T ) ), ~( 'c_List_Olistsp'( X, Z, T ) ) ] )
% 168.83/169.38 , clause( 321117, [ =( X, Y ), ~( 'c_in'( X, 'c_List_Oset'(
% 168.83/169.38 'c_List_Oreplicate'( Z, Y, T ), T ), T ) ) ] )
% 168.83/169.38 , clause( 321118, [ =( 'c_List_Onth'( 'c_List_Orev'( X, Y ), Z, Y ),
% 168.83/169.38 'c_List_Onth'( X, 'c_HOL_Ominus__class_Ominus'(
% 168.83/169.38 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Suc'( Z ),
% 168.83/169.38 'tc_nat' ), Y ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 168.83/169.38 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321119, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 168.83/169.38 'c_List_Onth'( Y, Z, X ), 'c_List_Onth'( Y, T, X ), X ), ~(
% 168.83/169.38 'c_lessequals'( Z, T, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 168.83/169.38 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( X ) ), 'tc_nat' ) ), ~(
% 168.83/169.38 'c_List_Olinorder__class_Osorted'( Y, X ) ) ] )
% 168.83/169.38 , clause( 321120, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 168.83/169.38 'c_List_Onth'( Y, Z, X ), 'c_List_Onth'( Y, T, X ), X ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( T, 'c_Nat_Osize__class_Osize'( Y,
% 168.83/169.38 'tc_List_Olist'( X ) ), 'tc_nat' ) ), ~( 'c_lessequals'( Z, T, 'tc_nat' )
% 168.83/169.38 ), ~( 'c_List_Olinorder__class_Osorted'( Y, X ) ) ] )
% 168.83/169.38 , clause( 321121, [ =( 'c_List_Odrop'( 'c_Suc'( X ), 'c_List_Olist_OCons'(
% 168.83/169.38 Y, Z, T ), T ), 'c_List_Odrop'( X, Z, T ) ) ] )
% 168.83/169.38 , clause( 321122, [ =( 'c_List_Otake'( X, Y, Z ), Y ), ~( 'c_lessequals'(
% 168.83/169.38 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ) ) ]
% 168.83/169.38 )
% 168.83/169.38 , clause( 321123, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 168.83/169.38 Y, Z, X ), ~( 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( Y
% 168.83/169.38 , 'c_List_Olist_OCons'( Z, T, X ), X ), X ) ) ] )
% 168.83/169.38 , clause( 321124, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 168.83/169.38 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( Y,
% 168.83/169.38 'c_List_Olist_OCons'( Z, T, X ), X ), X ), ~(
% 168.83/169.38 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( Z, T, X ), X ) )
% 168.83/169.38 , ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 168.83/169.38 , clause( 321125, [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Odrop'( X, Y, Z
% 168.83/169.38 ), 'tc_List_Olist'( Z ) ), 'c_HOL_Ominus__class_Ominus'(
% 168.83/169.38 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ) ) ]
% 168.83/169.38 )
% 168.83/169.38 , clause( 321126, [ =( 'c_List_Olist__update'( 'c_List_Olist_OCons'( X, Y,
% 168.83/169.38 Z ), 'c_Suc'( T ), U, Z ), 'c_List_Olist_OCons'( X,
% 168.83/169.38 'c_List_Olist__update'( Y, T, U, Z ), Z ) ) ] )
% 168.83/169.38 , clause( 321127, [ =( 'c_List_Ohd'( 'c_List_Oreplicate'( X, Y, Z ), Z ), Y
% 168.83/169.38 ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321128, [ =( 'c_List_Oreplicate'( 'c_Suc'( X ), Y, Z ),
% 168.83/169.38 'c_List_Olist_OCons'( Y, 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ] )
% 168.83/169.38 , clause( 321129, [ =( 'c_List_Olist__update'( X, Y, Z, T ), X ), ~(
% 168.83/169.38 'c_lessequals'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T ) ), Y
% 168.83/169.38 , 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321130, [ 'c_lessequals'( 'c_Nat_Osize__class_Osize'(
% 168.83/169.38 'c_List_OtakeWhile'( X, Y, Z ), 'tc_List_Olist'( Z ) ),
% 168.83/169.38 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ] )
% 168.83/169.38 , clause( 321131, [ 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ), ~( 'c_in'( X,
% 168.83/169.38 'c_List_Oset'( 'c_List_Obutlast'( Y, Z ), Z ), Z ) ) ] )
% 168.83/169.38 , clause( 321132, [ =( 'c_List_Odrop'( X, 'c_List_Otake'( Y, Z, T ), T ),
% 168.83/169.38 'c_List_Otake'( 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ),
% 168.83/169.38 'c_List_Odrop'( X, Z, T ), T ) ) ] )
% 168.83/169.38 , clause( 321133, [ 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ), ~( 'c_in'( X,
% 168.83/169.38 'c_List_Oset'( 'c_List_Osublist'( Y, T, Z ), Z ), Z ) ) ] )
% 168.83/169.38 , clause( 321134, [ ~( 'c_in'( X, 'c_List_Oset'( 'c_List_Osublist'( Y, Z, T
% 168.83/169.38 ), T ), T ) ), 'c_in'( X, 'c_List_Oset'( Y, T ), T ) ] )
% 168.83/169.38 , clause( 321135, [ =( 'c_List_Odrop'( X, 'c_List_Oreplicate'( Y, Z, T ), T
% 168.83/169.38 ), 'c_List_Oreplicate'( 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ),
% 168.83/169.38 Z, T ) ) ] )
% 168.83/169.38 , clause( 321136, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 168.83/169.38 'c_List_Olinorder__class_Oinsort__key'( Y, Z, 'c_List_Olist_OCons'( T, U
% 168.83/169.38 , W ), W, X ), 'c_List_Olist_OCons'( Z, 'c_List_Olist_OCons'( T, U, W ),
% 168.83/169.38 W ) ), ~( 'c_lessequals'( hAPP( Y, Z ), hAPP( Y, T ), X ) ) ] )
% 168.83/169.38 , clause( 321137, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 168.83/169.38 'c_List_Olinorder__class_Oinsort__key'( Y, Z, 'c_List_Olist_OCons'( T, U
% 168.83/169.38 , W ), W, X ), 'c_List_Olist_OCons'( T,
% 168.83/169.38 'c_List_Olinorder__class_Oinsort__key'( Y, Z, U, W, X ), W ) ),
% 168.83/169.38 'c_lessequals'( hAPP( Y, Z ), hAPP( Y, T ), X ) ] )
% 168.83/169.38 , clause( 321138, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 168.83/169.38 'c_Nat_Osize__class_Osize'( 'c_List_Olinorder__class_Oinsort__key'( Y, Z
% 168.83/169.38 , T, U, X ), 'tc_List_Olist'( U ) ), 'c_Suc'( 'c_Nat_Osize__class_Osize'(
% 168.83/169.38 T, 'tc_List_Olist'( U ) ) ) ) ] )
% 168.83/169.38 , clause( 321139, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 168.83/169.38 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 168.83/169.38 ~( 'c_lessequals'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z, 'tc_nat'
% 168.83/169.38 ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321140, [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 168.83/169.38 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ),
% 168.83/169.38 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 168.83/169.38 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 168.83/169.38 ] )
% 168.83/169.38 , clause( 321141, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 168.83/169.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 168.83/169.38 , T, X ) ) ), =( Y, Z ) ] )
% 168.83/169.38 , clause( 321142, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 168.83/169.38 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 168.83/169.38 , T, X ) ) ), =( Z, T ) ] )
% 168.83/169.38 , clause( 321143, [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 168.83/169.38 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y
% 168.83/169.38 , Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), =( X, Z ) ] )
% 168.83/169.38 , clause( 321144, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 168.83/169.38 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Suc'( Y ), X ), hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 168.83/169.38 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ) ] )
% 168.83/169.38 , clause( 321145, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 168.83/169.38 'tc_nat' ), X, 'tc_nat' ) ] )
% 168.83/169.38 , clause( 321146, [ =( 'c_HOL_Ominus__class_Ominus'(
% 168.83/169.38 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 168.83/169.38 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 168.83/169.38 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 168.83/169.38 , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321147, [ =( 'c_HOL_Ominus__class_Ominus'(
% 168.83/169.38 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ),
% 168.83/169.38 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Z,
% 168.83/169.38 'tc_nat' ), Y, 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321148, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'(
% 168.83/169.38 X, Y, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ),
% 168.83/169.38 'tc_nat' ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321149, [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' )
% 168.83/169.38 , =( 'c_Suc'( X ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) )
% 168.83/169.38 ] )
% 168.83/169.38 , clause( 321150, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), ~(
% 168.83/169.38 'c_lessequals'( 'c_Suc'( Y ), X, 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321151, [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 168.83/169.38 'c_lessequals'( Y, X, 'tc_nat' ) ] )
% 168.83/169.38 , clause( 321152, [ =( 'c_HOL_Ominus__class_Ominus'(
% 168.83/169.38 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'( Z ),
% 168.83/169.38 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X
% 168.83/169.38 , Y, 'tc_nat' ), Z, 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321153, [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( X ), 'tc_nat' )
% 168.83/169.38 ] )
% 168.83/169.38 , clause( 321154, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 168.83/169.38 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 'tc_nat' ), Y ), ~(
% 168.83/169.38 'c_lessequals'( Y, X, 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321155, [ =( X, 'c_Suc'( Y ) ), 'c_lessequals'( X, Y, 'tc_nat' )
% 168.83/169.38 , ~( 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321156, [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ),
% 168.83/169.38 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ] )
% 168.83/169.38 , clause( 321157, [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321158, [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' )
% 168.83/169.38 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ] )
% 168.83/169.38 , clause( 321159, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 168.83/169.38 ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 168.83/169.38 'c_Power_Opower__class_Opower'( T, 'c_Suc'( Z ), X ) ) ), =( Y, T ), ~(
% 168.83/169.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 168.83/169.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 168.83/169.38 , clause( 321160, [ 'c_in'( 'c_List_Ohd'( X, Y ), 'c_List_Oset'( X, Y ), Y
% 168.83/169.38 ), =( X, 'c_List_Olist_ONil'( Y ) ) ] )
% 168.83/169.38 , clause( 321161, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 168.83/169.38 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 168.83/169.38 , Y ), Z ), Z, X ), Y ) ] )
% 168.83/169.38 , clause( 321162, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 168.83/169.38 'c_lessequals'( Y, Z, 'tc_nat' ), ~( 'c_lessequals'(
% 168.83/169.38 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 168.83/169.38 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 168.83/169.38 X ), T, X ) ) ] )
% 168.83/169.38 , clause( 321163, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 168.83/169.38 'c_lessequals'( Y, Z, 'tc_nat' ), ~( 'c_lessequals'(
% 168.83/169.38 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 168.83/169.38 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 168.83/169.38 X ), T, X ) ) ] )
% 168.83/169.38 , clause( 321164, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 168.83/169.38 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 168.83/169.38 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T,
% 168.83/169.38 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 168.83/169.38 , Y, X ) ) ] )
% 168.83/169.38 , clause( 321165, [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ),
% 168.83/169.38 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321166, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321167, [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ),
% 168.83/169.38 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321168, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 168.83/169.38 =( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 168.83/169.38 )
% 168.83/169.38 , clause( 321169, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 168.83/169.38 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y,
% 168.83/169.38 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 168.83/169.38 , clause( 321170, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 168.83/169.38 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 168.83/169.38 ) ] )
% 168.83/169.38 , clause( 321171, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 168.83/169.38 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 168.83/169.38 ) ] )
% 168.83/169.38 , clause( 321172, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 168.83/169.38 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 168.83/169.38 ) ] )
% 168.83/169.38 , clause( 321173, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 168.83/169.38 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 168.83/169.38 ) ] )
% 168.83/169.38 , clause( 321174, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 168.83/169.38 =( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ]
% 168.83/169.38 )
% 168.83/169.38 , clause( 321175, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 168.83/169.38 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y,
% 168.83/169.38 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ] )
% 168.83/169.38 , clause( 321176, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 168.83/169.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 168.83/169.38 ) ), =( Y, Z ) ] )
% 168.83/169.38 , clause( 321177, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 168.83/169.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 168.83/169.38 ) ), =( Y, Z ) ] )
% 168.83/169.38 , clause( 321178, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 168.83/169.38 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ] )
% 168.83/169.38 , clause( 321179, [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'(
% 168.83/169.38 'tc_nat' ) ) ) ] )
% 168.83/169.38 , clause( 321180, [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'(
% 168.83/169.38 'tc_nat' ) ) ) ] )
% 168.83/169.38 , clause( 321181, [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =(
% 168.83/169.38 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ),
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ] )
% 168.83/169.38 , clause( 321182, [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 168.83/169.38 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ]
% 168.83/169.38 )
% 168.83/169.38 , clause( 321183, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), X ) ] )
% 168.83/169.38 , clause( 321184, [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_nat' ),
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321185, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'(
% 168.83/169.38 X ) ) ) ] )
% 168.83/169.38 , clause( 321186, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'(
% 168.83/169.38 X ) ) ) ] )
% 168.83/169.38 , clause( 321187, [ =( 'c_HOL_Ominus__class_Ominus'(
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ),
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321188, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 168.83/169.38 , X, 'tc_nat' ) ] )
% 168.83/169.38 , clause( 321189, [ =( 'c_List_Ohd'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 168.83/169.38 X ) ] )
% 168.83/169.38 , clause( 321190, [ 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( Y, Z, T
% 168.83/169.38 ), 'c_List_Olist_OCons'( Y, U, T ), T ), ~( 'c_ListOrder_Ostep1'( X, Z,
% 168.83/169.38 U, T ) ) ] )
% 168.83/169.38 , clause( 321191, [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), hBOOL( hAPP( hAPP(
% 168.83/169.38 X, U ), W ) ), ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( U, Y, T
% 168.83/169.38 ), 'c_List_Olist_OCons'( W, Z, T ), T ) ) ] )
% 168.83/169.38 , clause( 321192, [ 'c_ListOrder_Ostep1'( X, Y, Z, T ), =( Z, Y ), ~(
% 168.83/169.38 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( U, Y, T ),
% 168.83/169.38 'c_List_Olist_OCons'( W, Z, T ), T ) ) ] )
% 168.83/169.38 , clause( 321193, [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ),
% 168.83/169.38 'c_ListOrder_Ostep1'( X, 'c_List_Olist_OCons'( Y, T, U ),
% 168.83/169.38 'c_List_Olist_OCons'( Z, T, U ), U ) ] )
% 168.83/169.38 , clause( 321194, [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U,
% 168.83/169.38 'c_List_Olist_OCons'( Y, T, W ), 'c_List_Olist_OCons'( X, Z, W ), W ) ) ]
% 168.83/169.38 )
% 168.83/169.38 , clause( 321195, [ =( X, Y ), hBOOL( hAPP( hAPP( Z, Y ), X ) ), ~(
% 168.83/169.38 'c_ListOrder_Ostep1'( Z, 'c_List_Olist_OCons'( Y, T, U ),
% 168.83/169.38 'c_List_Olist_OCons'( X, W, U ), U ) ) ] )
% 168.83/169.38 , clause( 321196, [ ~( 'c_ListOrder_Ostep1'( X, Y, 'c_List_Olist_ONil'( Z )
% 168.83/169.38 , Z ) ) ] )
% 168.83/169.38 , clause( 321197, [ ~( 'c_ListOrder_Ostep1'( X, 'c_List_Olist_ONil'( Y ), Z
% 168.83/169.38 , Y ) ) ] )
% 168.83/169.38 , clause( 321198, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 168.83/169.38 'c_List_Onth'( Y, Z, X ), 'c_List_Onth'( Y, T, X ), X ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Z, 'c_Nat_Osize__class_Osize'( Y,
% 168.83/169.38 'tc_List_Olist'( X ) ), 'tc_nat' ) ), ~( 'c_lessequals'( T, Z, 'tc_nat' )
% 168.83/169.38 ), ~( 'c_List_Olinorder__class_Osorted'( 'c_List_Orev'( Y, X ), X ) ) ]
% 168.83/169.38 )
% 168.83/169.38 , clause( 321199, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 168.83/169.38 ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 168.83/169.38 X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z
% 168.83/169.38 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 168.83/169.38 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 168.83/169.38 , clause( 321200, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 168.83/169.38 ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 168.83/169.38 X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 168.83/169.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 168.83/169.38 , clause( 321201, [ ~(
% 168.83/169.38 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 168.83/169.38 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_HOL_Oord__class_Oless'(
% 168.83/169.38 Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 168.83/169.38 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 168.83/169.38 , clause( 321202, [ ~(
% 168.83/169.38 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 168.83/169.38 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_HOL_Oord__class_Oless'(
% 168.83/169.38 Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 168.83/169.38 , clause( 321203, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 168.83/169.38 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 168.83/169.38 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 168.83/169.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 168.83/169.38 , clause( 321204, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 168.83/169.38 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 168.83/169.38 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 168.83/169.38 , clause( 321205, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 168.83/169.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 168.83/169.38 'c_HOL_Oone__class_Oone'( X ) ), X ) ] )
% 168.83/169.38 , clause( 321206, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 168.83/169.38 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 168.83/169.38 Z, T, X ), X ) ) ] )
% 168.83/169.38 , clause( 321207, [ 'c_in'( X, 'c_List_Oset'( 'c_List_Oappend'( Y,
% 168.83/169.38 'c_List_Olist_OCons'( X, Z, T ), T ), T ), T ), 'c_in'( X, 'c_List_Oset'(
% 168.83/169.38 Y, T ), T ) ] )
% 168.83/169.38 , clause( 321208, [ 'c_in'( X, 'c_List_Oset'( 'c_List_Oappend'( Y,
% 168.83/169.38 'c_List_Olist_OCons'( X, Z, T ), T ), T ), T ), 'c_in'( X, 'c_List_Oset'(
% 168.83/169.38 Z, T ), T ) ] )
% 168.83/169.38 , clause( 321209, [ 'c_in'( X, 'c_List_Oset'( 'c_List_Oappend'( Y,
% 168.83/169.38 'c_List_Olist_OCons'( X, Z, T ), T ), T ), T ) ] )
% 168.83/169.38 , clause( 321210, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 168.83/169.38 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 168.83/169.38 X ), 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 168.83/169.38 , clause( 321211, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 168.83/169.38 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 168.83/169.38 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 168.83/169.38 X ), T, X ) ) ] )
% 168.83/169.38 , clause( 321212, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 168.83/169.38 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 168.83/169.38 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321213, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 168.83/169.38 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 168.83/169.38 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 168.83/169.38 X ), T, X ) ) ] )
% 168.83/169.38 , clause( 321214, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 168.83/169.38 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 168.83/169.38 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 168.83/169.38 , clause( 321215, [ =( X, Y ), =( Z, T ), ~( 'c_ListOrder_Ostep1'( U,
% 168.83/169.38 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W
% 168.83/169.38 ), W ), 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( T,
% 168.83/169.38 'c_List_Olist_ONil'( W ), W ), W ), W ) ) ] )
% 168.83/169.38 , clause( 321216, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~(
% 168.83/169.38 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( T, 'c_List_Olist_OCons'( Y,
% 168.83/169.38 'c_List_Olist_ONil'( U ), U ), U ), 'c_List_Oappend'( W,
% 168.83/169.38 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( U ), U ), U ), U ) ) ] )
% 168.83/169.38 , clause( 321217, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_ListOrder_Ostep1'(
% 168.83/169.38 X, T, U, W ), ~( 'c_ListOrder_Ostep1'( X, 'c_List_Oappend'( T,
% 168.83/169.38 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( W ), W ), W ),
% 168.83/169.38 'c_List_Oappend'( U, 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( W ), W
% 168.83/169.38 ), W ), W ) ) ] )
% 168.83/169.38 , clause( 321218, [ =( X, Y ), 'c_ListOrder_Ostep1'( Z, X, Y, T ), ~(
% 168.83/169.38 'c_ListOrder_Ostep1'( Z, 'c_List_Oappend'( X, 'c_List_Olist_OCons'( U,
% 168.83/169.38 'c_List_Olist_ONil'( T ), T ), T ), 'c_List_Oappend'( Y,
% 168.83/169.38 'c_List_Olist_OCons'( W, 'c_List_Olist_ONil'( T ), T ), T ), T ) ) ] )
% 168.83/169.38 , clause( 321219, [ =( 'c_List_Ohd'( X, Y ), 'c_List_Onth'( X,
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y ) ), =( X, 'c_List_Olist_ONil'(
% 168.83/169.38 Y ) ) ] )
% 168.83/169.38 , clause( 321220, [ =( 'c_List_OtakeWhile'( X, 'c_List_Oappend'( Y, Z, T )
% 168.83/169.38 , T ), 'c_List_OtakeWhile'( X, Y, T ) ), hBOOL( hAPP( X, U ) ), ~( 'c_in'(
% 168.83/169.38 U, 'c_List_Oset'( Y, T ), T ) ) ] )
% 168.83/169.38 , clause( 321221, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 168.83/169.38 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 168.83/169.38 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Z, 'tc_Lambda_OdB',
% 168.83/169.38 'tc_Lambda_OdB' ) ) ), ~( 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', Y, Z,
% 168.83/169.38 'tc_Lambda_OdB' ) ) ] )
% 168.83/169.38 , clause( 321222, [ ~( =( 'c_List_Odrop'( X, Y, Z ), 'c_List_Olist_ONil'( Z
% 168.83/169.38 ) ) ), 'c_lessequals'( 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z
% 168.83/169.38 ) ), X, 'tc_nat' ) ] )
% 168.83/169.38 , clause( 321223, [ =( 'c_List_Odrop'( X, Y, Z ), 'c_List_Olist_ONil'( Z )
% 168.83/169.38 ), ~( 'c_lessequals'( 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z
% 168.83/169.38 ) ), X, 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321224, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T
% 168.83/169.38 , U, Z ) ) ), =( 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( T,
% 168.83/169.38 'tc_List_Olist'( Z ) ), X, Z ), T ), 'c_lessequals'(
% 168.83/169.38 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z ) ),
% 168.83/169.38 'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ] )
% 168.83/169.38 , clause( 321225, [ =( 'c_List_Otake'( X, 'c_List_Oappend'( Y, Z, T ), T )
% 168.83/169.38 , 'c_List_Oappend'( 'c_List_Otake'( X, Y, T ), 'c_List_Otake'(
% 168.83/169.38 'c_HOL_Ominus__class_Ominus'( X, 'c_Nat_Osize__class_Osize'( Y,
% 168.83/169.38 'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ] )
% 168.83/169.38 , clause( 321226, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T
% 168.83/169.38 , U, Z ) ) ), =( X, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X,
% 168.83/169.38 'tc_List_Olist'( Z ) ), T, Z ) ), ~( 'c_lessequals'(
% 168.83/169.38 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z ) ),
% 168.83/169.38 'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321227, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T
% 168.83/169.38 , U, Z ) ) ), =( Y, 'c_List_Oappend'( 'c_List_Odrop'(
% 168.83/169.38 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z ) ), T, Z ), U, Z ) ),
% 168.83/169.38 ~( 'c_lessequals'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z ) )
% 168.83/169.38 , 'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ]
% 168.83/169.38 )
% 168.83/169.38 , clause( 321228, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T
% 168.83/169.38 , U, Z ) ) ), =( 'c_List_Oappend'( 'c_List_Odrop'(
% 168.83/169.38 'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z ) ), X, Z ), Y, Z ), U
% 168.83/169.38 ), 'c_lessequals'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z ) )
% 168.83/169.38 , 'c_Nat_Osize__class_Osize'( T, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ] )
% 168.83/169.38 , clause( 321229, [ =( 'c_List_Odrop'( X, 'c_List_Oappend'( Y, Z, T ), T )
% 168.83/169.38 , 'c_List_Oappend'( 'c_List_Odrop'( X, Y, T ), 'c_List_Odrop'(
% 168.83/169.38 'c_HOL_Ominus__class_Ominus'( X, 'c_Nat_Osize__class_Osize'( Y,
% 168.83/169.38 'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ] )
% 168.83/169.38 , clause( 321230, [ 'c_in'( X, 'c_List_Oset'( 'c_List_Obutlast'(
% 168.83/169.38 'c_List_Oappend'( Y, Z, T ), T ), T ), T ), ~( 'c_in'( X, 'c_List_Oset'(
% 168.83/169.38 'c_List_Obutlast'( Z, T ), T ), T ) ) ] )
% 168.83/169.38 , clause( 321231, [ 'c_in'( X, 'c_List_Oset'( 'c_List_Obutlast'(
% 168.83/169.38 'c_List_Oappend'( Y, Z, T ), T ), T ), T ), ~( 'c_in'( X, 'c_List_Oset'(
% 168.83/169.38 'c_List_Obutlast'( Y, T ), T ), T ) ) ] )
% 168.83/169.38 , clause( 321232, [ 'c_in'( 'c_List_Olast'( X, Y ), 'c_List_Oset'( X, Y ),
% 168.83/169.38 Y ), =( X, 'c_List_Olist_ONil'( Y ) ) ] )
% 168.83/169.38 , clause( 321233, [ 'c_HOL_Oord__class_Oless'( X,
% 168.83/169.38 'c_List_Olist_Olist__size'( Y, Z, T ), 'tc_nat' ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( X, hAPP( Y, U ), 'tc_nat' ) ), ~( 'c_in'( U,
% 168.83/169.38 'c_List_Oset'( Z, T ), T ) ) ] )
% 168.83/169.38 , clause( 321234, [ =( 'c_List_OtakeWhile'( X, Y, Z ), 'c_List_Otake'( T, Y
% 168.83/169.38 , Z ) ), hBOOL( hAPP( X, 'c_List_Onth'( Y, T, Z ) ) ), ~( hBOOL( hAPP( X
% 168.83/169.38 , 'c_List_Onth'( Y,
% 168.83/169.38 'c_List_Osko__List__XtakeWhile__eq__take__P__nth__1__1'( X, T, Y, Z ), Z
% 168.83/169.38 ) ) ) ) ] )
% 168.83/169.38 , clause( 321235, [ =( 'c_List_Ohd'( 'c_List_Orev'( X, Y ), Y ),
% 168.83/169.38 'c_List_Olast'( X, Y ) ), =( X, 'c_List_Olist_ONil'( Y ) ) ] )
% 168.83/169.38 , clause( 321236, [ =( 'c_List_Olast'( 'c_List_Orev'( X, Y ), Y ),
% 168.83/169.38 'c_List_Ohd'( X, Y ) ), =( X, 'c_List_Olist_ONil'( Y ) ) ] )
% 168.83/169.38 , clause( 321237, [ =( 'c_List_Olength__unique'( 'c_List_Olist_OCons'( X, Y
% 168.83/169.38 , Z ), Z ), 'c_List_Olength__unique'( Y, Z ) ), ~( 'c_in'( X,
% 168.83/169.38 'c_List_Oset'( Y, Z ), Z ) ) ] )
% 168.83/169.38 , clause( 321238, [ =( 'c_List_Oappend'( 'c_List_Otake'( X, Y, Z ),
% 168.83/169.38 'c_List_Olist_OCons'( 'c_List_Ohd'( 'c_List_Odrop'( X, Y, Z ), Z ),
% 168.83/169.38 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Otake'( 'c_Suc'( X ), Y, Z )
% 168.83/169.38 ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Nat_Osize__class_Osize'( Y,
% 168.83/169.38 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321239, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 168.83/169.38 'c_List_Olinorder__class_Osorted'( 'c_List_Omap'( Y,
% 168.83/169.38 'c_List_Olinorder__class_Oinsort__key'( Y, Z, T, U, X ), U, X ), X ), ~(
% 168.83/169.38 'c_List_Olinorder__class_Osorted'( 'c_List_Omap'( Y, T, U, X ), X ) ) ]
% 168.83/169.38 )
% 168.83/169.38 , clause( 321240, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 168.83/169.38 'c_List_Olinorder__class_Osorted'( 'c_List_Omap'( Y, Z, T, X ), X ), ~(
% 168.83/169.38 'c_List_Olinorder__class_Osorted'( 'c_List_Omap'( Y,
% 168.83/169.38 'c_List_Olinorder__class_Oinsort__key'( Y, U, Z, T, X ), T, X ), X ) ) ]
% 168.83/169.38 )
% 168.83/169.38 , clause( 321241, [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist__update'(
% 168.83/169.38 X, Y, Z, T ), 'tc_List_Olist'( T ) ), 'c_Nat_Osize__class_Osize'( X,
% 168.83/169.38 'tc_List_Olist'( T ) ) ) ] )
% 168.83/169.38 , clause( 321242, [ =( 'c_List_Obutlast'( 'c_List_Oappend'( X,
% 168.83/169.38 'c_List_Olist_ONil'( Y ), Y ), Y ), 'c_List_Obutlast'( X, Y ) ) ] )
% 168.83/169.38 , clause( 321243, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 168.83/169.38 ~( 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X
% 168.83/169.38 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 168.83/169.38 , clause( 321244, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 168.83/169.38 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ), hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 168.83/169.38 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) )
% 168.83/169.38 ) ] )
% 168.83/169.38 , clause( 321245, [ =( 'c_List_Olast'( 'c_List_Oreplicate'( X, Y, Z ), Z )
% 168.83/169.38 , Y ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321246, [ =( 'c_List_Obutlast'( 'c_List_Odrop'( X, Y, Z ), Z ),
% 168.83/169.38 'c_List_Odrop'( X, 'c_List_Obutlast'( Y, Z ), Z ) ) ] )
% 168.83/169.38 , clause( 321247, [ =( 'c_List_Oappend'( 'c_List_Otake'( X, Y, Z ),
% 168.83/169.38 'c_List_Odrop'( X, Y, Z ), Z ), Y ) ] )
% 168.83/169.38 , clause( 321248, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 168.83/169.38 'c_List_Olinorder__class_Osorted'( 'c_List_OtakeWhile'( Y, Z, X ), X ),
% 168.83/169.38 ~( 'c_List_Olinorder__class_Osorted'( Z, X ) ) ] )
% 168.83/169.38 , clause( 321249, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) )
% 168.83/169.38 , ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ] )
% 168.83/169.38 , clause( 321250, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) )
% 168.83/169.38 , ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ] )
% 168.83/169.38 , clause( 321251, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X
% 168.83/169.38 ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 168.83/169.38 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ] )
% 168.83/169.38 , clause( 321252, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 168.83/169.38 'class_Int_Onumber__ring'( X ) ), ~( =( hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ] )
% 168.83/169.38 , clause( 321253, [ =( X, 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( Y,
% 168.83/169.38 'tc_List_Olist'( Z ) ), 'c_List_Oappend'( Y, X, Z ), Z ) ) ] )
% 168.83/169.38 , clause( 321254, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 168.83/169.38 ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 168.83/169.38 X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 168.83/169.38 , clause( 321255, [ =( 'c_List_Onth'( 'c_List_OtakeWhile'( X, Y, Z ), T, Z
% 168.83/169.38 ), 'c_List_Onth'( Y, T, Z ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 168.83/169.38 'c_Nat_Osize__class_Osize'( 'c_List_OtakeWhile'( X, Y, Z ),
% 168.83/169.38 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321256, [ =( 'c_List_Odrop'( X, 'c_List_Obutlast'( Y, Z ), Z ),
% 168.83/169.38 'c_List_Obutlast'( 'c_List_Odrop'( X, Y, Z ), Z ) ) ] )
% 168.83/169.38 , clause( 321257, [ ~( 'class_Int_Oring__char__0'( X ) ), ~(
% 168.83/169.38 'class_Int_Onumber__ring'( X ) ), ~( =(
% 168.83/169.38 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 168.83/169.38 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ] )
% 168.83/169.38 , clause( 321258, [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), =( hAPP(
% 168.83/169.38 hAPP( hAPP( 'c_Lambda_Osubst', 'c_Lambda_OdB_OVar'( X ) ), Y ), X ), Y )
% 168.83/169.38 ] )
% 168.83/169.38 , clause( 321259, [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X
% 168.83/169.38 , W ), Y ) ) ] )
% 168.83/169.38 , clause( 321260, [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, X, Z ) ) ] )
% 168.83/169.38 , clause( 321261, [ 'c_in'( X, Y, Z ), ~( hBOOL( hAPP( Y, X ) ) ) ] )
% 168.83/169.38 , clause( 321262, [ =( 'c_List_Onth'( 'c_List_Olist__update'( X, Y, Z, T )
% 168.83/169.38 , U, T ), 'c_List_Onth'( X, U, T ) ), =( Y, U ) ] )
% 168.83/169.38 , clause( 321263, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 168.83/169.38 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ] )
% 168.83/169.38 , clause( 321264, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 168.83/169.38 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ] )
% 168.83/169.38 , clause( 321265, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 168.83/169.38 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ] )
% 168.83/169.38 , clause( 321266, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 168.83/169.38 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 168.83/169.38 X ), Y ), T ) ), Z ) ) ] )
% 168.83/169.38 , clause( 321267, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 168.83/169.38 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 168.83/169.38 X ), Y ), Z ) ), T ) ) ] )
% 168.83/169.38 , clause( 321268, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 168.83/169.38 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ] )
% 168.83/169.38 , clause( 321269, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 168.83/169.38 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ] )
% 168.83/169.38 , clause( 321270, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 168.83/169.38 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ] )
% 168.83/169.38 , clause( 321271, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 168.83/169.38 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ] )
% 168.83/169.38 , clause( 321272, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 168.83/169.38 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 168.83/169.38 X ), Y ), Z ) ), T ) ) ] )
% 168.83/169.38 , clause( 321273, [ =( 'c_List_Onth'( 'c_List_Otake'( X, Y, Z ), T, Z ),
% 168.83/169.38 'c_List_Onth'( Y, T, Z ) ), ~( 'c_HOL_Oord__class_Oless'( T, X, 'tc_nat'
% 168.83/169.38 ) ) ] )
% 168.83/169.38 , clause( 321274, [ ~( 'class_Orderings_Oorder'( X ) ),
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 168.83/169.38 , X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 168.83/169.38 , clause( 321275, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 168.83/169.38 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 168.83/169.38 , clause( 321276, [ =( 'c_List_Otake'( X, 'c_List_Omap'( Y, Z, T, U ), U )
% 168.83/169.38 , 'c_List_Omap'( Y, 'c_List_Otake'( X, Z, T ), T, U ) ) ] )
% 168.83/169.38 , clause( 321277, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 168.83/169.38 'c_List_Olinorder__class_Osorted'( 'c_List_Odrop'( Y, Z, X ), X ), ~(
% 168.83/169.38 'c_List_Olinorder__class_Osorted'( Z, X ) ) ] )
% 168.83/169.38 , clause( 321278, [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 168.83/169.38 'c_Lambda_OdB_OVar'( X ) ), Y ), Z ), 'c_Lambda_OdB_OVar'( X ) ), =( X, Z
% 168.83/169.38 ), 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ] )
% 168.83/169.38 , clause( 321279, [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X,
% 168.83/169.38 'c_List_Oappend'( Y, T, Z ), Z ) ) ] )
% 168.83/169.38 , clause( 321280, [ 'c_List_Olistsp'( X, Y, Z ), ~( 'c_List_Olistsp'( X,
% 168.83/169.38 'c_List_Oappend'( T, Y, Z ), Z ) ) ] )
% 168.83/169.38 , clause( 321281, [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z,
% 168.83/169.38 'c_Lambda_OdB_OAbs'( T ), U ), hAPP( Z, T ) ) ] )
% 168.83/169.38 , clause( 321282, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP( hAPP(
% 168.83/169.38 'c_Lambda_Osubst', X ), Y ), Z ) ), hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 168.83/169.38 T ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), T ) ) ) ]
% 168.83/169.38 )
% 168.83/169.38 , clause( 321283, [ ~( 'c_HOL_Oord__class_Oless'( X,
% 168.83/169.38 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ), =(
% 168.83/169.38 'c_List_Olist__update'( Y, X, 'c_List_Onth'( Y, X, Z ), Z ), Y ) ] )
% 168.83/169.38 , clause( 321284, [ =( 'c_List_Olist__update'( X, Y, Z, T ),
% 168.83/169.38 'c_List_Oappend'( 'c_List_Otake'( Y, X, T ), 'c_List_Olist_OCons'( Z,
% 168.83/169.38 'c_List_Odrop'( 'c_Suc'( Y ), X, T ), T ), T ) ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Y, 'c_Nat_Osize__class_Osize'( X,
% 168.83/169.38 'tc_List_Olist'( T ) ), 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321285, [ =( X, 'c_List_Oappend'( 'c_List_Otake'( Y, X, Z ),
% 168.83/169.38 'c_List_Olist_OCons'( 'c_List_Onth'( X, Y, Z ), 'c_List_Odrop'( 'c_Suc'(
% 168.83/169.38 Y ), X, Z ), Z ), Z ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 168.83/169.38 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321286, [ =( 'c_List_Otake'( 'c_Suc'( X ), Y, Z ),
% 168.83/169.38 'c_List_Oappend'( 'c_List_Otake'( X, Y, Z ), 'c_List_Olist_OCons'(
% 168.83/169.38 'c_List_Onth'( Y, X, Z ), 'c_List_Olist_ONil'( Z ), Z ), Z ) ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( X, 'c_Nat_Osize__class_Osize'( Y,
% 168.83/169.38 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321287, [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', 'c_List_Ofoldl'(
% 168.83/169.38 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ), T )
% 168.83/169.38 , 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP(
% 168.83/169.38 'c_Lambda_Osubst', X ), Z ), T ), 'c_List_Omap'( 'c_COMBC'( 'c_COMBC'(
% 168.83/169.38 'c_Lambda_Osubst', Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB', 'tc_fun'(
% 168.83/169.38 'tc_nat', 'tc_Lambda_OdB' ) ), T, 'tc_Lambda_OdB', 'tc_nat',
% 168.83/169.38 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'tc_Lambda_OdB'
% 168.83/169.38 , 'tc_Lambda_OdB' ) ) ] )
% 168.83/169.38 , clause( 321288, [ 'c_ListOrder_Ostep1'( 'c_Lambda_Obeta', X,
% 168.83/169.38 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, X, Z ),
% 168.83/169.38 'tc_Lambda_OdB' ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta',
% 168.83/169.38 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Y ), X,
% 168.83/169.38 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ) ) ) ] )
% 168.83/169.38 , clause( 321289, [ =( 'c_List_OtakeWhile'( X, Y, Z ), 'c_List_Otake'( T, Y
% 168.83/169.38 , Z ) ), 'c_HOL_Oord__class_Oless'( T, 'c_Nat_Osize__class_Osize'( Y,
% 168.83/169.38 'tc_List_Olist'( Z ) ), 'tc_nat' ), ~( hBOOL( hAPP( X, 'c_List_Onth'( Y,
% 168.83/169.38 'c_List_Osko__List__XtakeWhile__eq__take__P__nth__1__1'( X, T, Y, Z ), Z
% 168.83/169.38 ) ) ) ) ] )
% 168.83/169.38 , clause( 321290, [ =( 'c_List_OtakeWhile'( X, Y, Z ), 'c_List_Otake'( T, Y
% 168.83/169.38 , Z ) ), hBOOL( hAPP( X, 'c_List_Onth'( Y, T, Z ) ) ),
% 168.83/169.38 'c_HOL_Oord__class_Oless'(
% 168.83/169.38 'c_List_Osko__List__XtakeWhile__eq__take__P__nth__1__1'( X, T, Y, Z ),
% 168.83/169.38 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ] )
% 168.83/169.38 , clause( 321291, [ =( 'c_List_Ohd'( 'c_List_Odrop'( X, Y, Z ), Z ),
% 168.83/169.38 'c_List_Onth'( Y, X, Z ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 168.83/169.38 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ), =( Y
% 168.83/169.38 , 'c_List_Olist_ONil'( Z ) ) ] )
% 168.83/169.38 , clause( 321292, [ =( 'c_List_Olist_OCons'( 'c_List_Onth'( X, Y, Z ),
% 168.83/169.38 'c_List_Odrop'( 'c_Suc'( Y ), X, Z ), Z ), 'c_List_Odrop'( Y, X, Z ) ),
% 168.83/169.38 ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Nat_Osize__class_Osize'( X,
% 168.83/169.38 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321293, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 168.83/169.38 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 168.83/169.38 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 168.83/169.38 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 168.83/169.38 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 168.83/169.38 , clause( 321294, [ =( 'c_List_Orev'( 'c_List_Odrop'( X, Y, Z ), Z ),
% 168.83/169.38 'c_List_Otake'( 'c_HOL_Ominus__class_Ominus'( 'c_Nat_Osize__class_Osize'(
% 168.83/169.38 Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ), 'c_List_Orev'( Y, Z ), Z ) ) ]
% 168.83/169.38 )
% 168.83/169.38 , clause( 321295, [ =( 'c_List_Orev'( 'c_List_Otake'( X, Y, Z ), Z ),
% 168.83/169.38 'c_List_Odrop'( 'c_HOL_Ominus__class_Ominus'( 'c_Nat_Osize__class_Osize'(
% 168.83/169.38 Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ), 'c_List_Orev'( Y, Z ), Z ) ) ]
% 168.83/169.38 )
% 168.83/169.38 , clause( 321296, [ =( 'c_List_OtakeWhile'( X, Y, Z ), 'c_List_Otake'( T, Y
% 168.83/169.38 , Z ) ), hBOOL( hAPP( X, 'c_List_Onth'( Y, T, Z ) ) ),
% 168.83/169.38 'c_HOL_Oord__class_Oless'(
% 168.83/169.38 'c_List_Osko__List__XtakeWhile__eq__take__P__nth__1__1'( X, T, Y, Z ), T
% 168.83/169.38 , 'tc_nat' ) ] )
% 168.83/169.38 , clause( 321297, [ ~( =( X, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X
% 168.83/169.38 , 'tc_List_Olist'( Y ) ), Z, Y ) ) ), =( 'c_List_Oappend'( X,
% 168.83/169.38 'c_List_Oappend'( 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( X,
% 168.83/169.38 'tc_List_Olist'( Y ) ), Z, Y ), T, Y ), Y ), 'c_List_Oappend'( Z, T, Y )
% 168.83/169.38 ), ~( 'c_lessequals'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y
% 168.83/169.38 ) ), 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y ) ), 'tc_nat' ) )
% 168.83/169.38 ] )
% 168.83/169.38 , clause( 321298, [ ~( =( 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X,
% 168.83/169.38 'tc_List_Olist'( Y ) ), Z, Y ), X ) ), 'c_lessequals'(
% 168.83/169.38 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y ) ),
% 168.83/169.38 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), 'tc_nat' ), =(
% 168.83/169.38 'c_List_Oappend'( Z, T, Y ), 'c_List_Oappend'( X, 'c_List_Oappend'(
% 168.83/169.38 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), Z
% 168.83/169.38 , Y ), T, Y ), Y ) ) ] )
% 168.83/169.38 , clause( 321299, [ =( 'c_List_OtakeWhile'( X, Y, Z ), 'c_List_Otake'( T, Y
% 168.83/169.38 , Z ) ), 'c_HOL_Oord__class_Oless'( T, 'c_Nat_Osize__class_Osize'( Y,
% 168.83/169.38 'tc_List_Olist'( Z ) ), 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 168.83/169.38 'c_List_Osko__List__XtakeWhile__eq__take__P__nth__1__1'( X, T, Y, Z ),
% 168.83/169.38 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ] )
% 168.83/169.38 , clause( 321300, [ =( 'c_List_OtakeWhile'( X, Y, Z ), 'c_List_Otake'( T, Y
% 168.83/169.38 , Z ) ), 'c_HOL_Oord__class_Oless'( T, 'c_Nat_Osize__class_Osize'( Y,
% 168.83/169.38 'tc_List_Olist'( Z ) ), 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 168.83/169.38 'c_List_Osko__List__XtakeWhile__eq__take__P__nth__1__1'( X, T, Y, Z ), T
% 168.83/169.38 , 'tc_nat' ) ] )
% 168.83/169.38 , clause( 321301, [ =( 'c_List_Olist__update'( 'c_List_Oappend'( X, Y, Z )
% 168.83/169.38 , T, U, Z ), 'c_List_Oappend'( X, 'c_List_Olist__update'( Y,
% 168.83/169.38 'c_HOL_Ominus__class_Ominus'( T, 'c_Nat_Osize__class_Osize'( X,
% 168.83/169.38 'tc_List_Olist'( Z ) ), 'tc_nat' ), U, Z ), Z ) ),
% 168.83/169.38 'c_HOL_Oord__class_Oless'( T, 'c_Nat_Osize__class_Osize'( X,
% 168.83/169.38 'tc_List_Olist'( Z ) ), 'tc_nat' ) ] )
% 168.83/169.38 , clause( 321302, [ =( 'c_List_Onth'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 168.83/169.38 'c_List_Onth'( Y, 'c_HOL_Ominus__class_Ominus'( T,
% 168.83/169.38 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z ) ), 'tc_nat' ), Z ) )
% 168.83/169.38 , 'c_HOL_Oord__class_Oless'( T, 'c_Nat_Osize__class_Osize'( X,
% 168.83/169.38 'tc_List_Olist'( Z ) ), 'tc_nat' ) ] )
% 168.83/169.38 , clause( 321303, [ 'c_in'( X, 'c_List_Oset'( 'c_List_Olist__update'( Y, Z
% 168.83/169.38 , X, T ), T ), T ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 168.83/169.38 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( T ) ), 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321304, [ 'c_in'( 'c_List_Onth'( X, Y, Z ), 'c_List_Oset'( X, Z )
% 168.83/169.38 , Z ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Nat_Osize__class_Osize'( X,
% 168.83/169.38 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321305, [ ~( 'c_HOL_Oord__class_Oless'( X,
% 168.83/169.38 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ),
% 168.83/169.38 'c_in'( 'c_List_Onth'( Y, X, Z ), 'c_List_Oset'( Y, Z ), Z ) ] )
% 168.83/169.38 , clause( 321306, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 168.83/169.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 168.83/169.38 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 168.83/169.38 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 168.83/169.38 , Y, X ) ) ] )
% 168.83/169.38 , clause( 321307, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 168.83/169.38 ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 168.83/169.38 'c_Power_Opower__class_Opower'( T, Z, X ) ) ), =( Y, T ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 168.83/169.38 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 168.83/169.38 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 168.83/169.38 , clause( 321308, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 168.83/169.38 'tc_nat' ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ),
% 168.83/169.38 'tc_nat' ), ~( 'c_in'( Z, 'c_List_Oset'( X, Y ), Y ) ) ] )
% 168.83/169.38 , clause( 321309, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 168.83/169.38 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 168.83/169.38 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321310, [ =( 'c_List_Omap'( X, 'c_List_Olist__update'( Y, Z, T, U
% 168.83/169.38 ), U, W ), 'c_List_Olist__update'( 'c_List_Omap'( X, Y, U, W ), Z, hAPP(
% 168.83/169.38 X, T ), W ) ) ] )
% 168.83/169.38 , clause( 321311, [ ~( =( 'c_List_Olist__update'( X, Y, Z, T ), X ) ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Y, 'c_Nat_Osize__class_Osize'( X,
% 168.83/169.38 'tc_List_Olist'( T ) ), 'tc_nat' ) ), =( 'c_List_Onth'( X, Y, T ), Z ) ]
% 168.83/169.38 )
% 168.83/169.38 , clause( 321312, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta',
% 168.83/169.38 'c_Lambda_OdB_OAbs'( X ) ), 'c_Lambda_OdB_OAbs'( Y ) ) ), ~( hBOOL( hAPP(
% 168.83/169.38 hAPP( 'c_Lambda_Obeta', X ), Y ) ) ) ] )
% 168.83/169.38 , clause( 321313, [ =( 'c_List_Orev'( 'c_List_Oappend'( X, Y, Z ), Z ),
% 168.83/169.38 'c_List_Oappend'( 'c_List_Orev'( Y, Z ), 'c_List_Orev'( X, Z ), Z ) ) ]
% 168.83/169.38 )
% 168.83/169.38 , clause( 321314, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 168.83/169.38 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 168.83/169.38 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ] )
% 168.83/169.38 , clause( 321315, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 168.83/169.38 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 168.83/169.38 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 168.83/169.38 , clause( 321316, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 168.83/169.38 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 168.83/169.38 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 168.83/169.38 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 168.83/169.38 ) ) ] )
% 168.83/169.38 , clause( 321317, [ ~(
% 168.83/169.38 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~( =(
% 168.83/169.38 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 168.83/169.38 ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 168.83/169.38 , clause( 321318, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 168.83/169.38 ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 168.83/169.38 ) ) ] )
% 168.83/169.38 , clause( 321319, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 168.83/169.38 'class_Int_Onumber__ring'( X ) ), ~( =( Y, hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), =( Z,
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 168.83/169.38 , clause( 321320, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 168.83/169.38 ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 168.83/169.38 , clause( 321321, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 168.83/169.38 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), Y ) ] )
% 168.83/169.38 , clause( 321322, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 168.83/169.38 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'(
% 168.83/169.38 X ) ), Y ), Y ) ] )
% 168.83/169.38 , clause( 321323, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 168.83/169.38 'class_Int_Onumber__ring'( X ) ), =( Y, hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 168.83/169.38 ] )
% 168.83/169.38 , clause( 321324, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 168.83/169.38 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ] )
% 168.83/169.38 , clause( 321325, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP(
% 168.83/169.38 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 168.83/169.38 , Y ), Y ) ] )
% 168.83/169.38 , clause( 321326, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP(
% 168.83/169.38 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 168.83/169.38 ) ), Y ) ] )
% 168.83/169.38 , clause( 321327, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 168.83/169.38 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ] )
% 168.83/169.38 , clause( 321328, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 168.83/169.38 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), Y ) ] )
% 168.83/169.38 , clause( 321329, [ ~( 'c_HOL_Oord__class_Oless'(
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 168.83/169.38 'tc_nat' ), 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321330, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 168.83/169.38 'tc_nat' ), X, 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 168.83/169.38 ] )
% 168.83/169.38 , clause( 321331, [ ~( 'c_HOL_Oord__class_Oless'( X,
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321332, [ ~( 'c_HOL_Oord__class_Oless'( X,
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321333, [ =( 'c_List_Odrop'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 168.83/169.38 ), X, Y ), X ) ] )
% 168.83/169.38 , clause( 321334, [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'(
% 168.83/169.38 'tc_nat' ), X, Y ), 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'(
% 168.83/169.38 'tc_nat' ), Z, Y ) ) ] )
% 168.83/169.38 , clause( 321335, [ ~( =( 'c_List_Oreplicate'( X, Y, Z ),
% 168.83/169.38 'c_List_Oreplicate'( T, U, Z ) ) ), =( Y, U ), =( X,
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321336, [ ~( =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' )
% 168.83/169.38 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( 'c_List_Onth'(
% 168.83/169.38 'c_List_Olist_OCons'( Y, Z, T ), 'c_Int_Onumber__class_Onumber__of'( X,
% 168.83/169.38 'tc_nat' ), T ), Y ) ] )
% 168.83/169.38 , clause( 321337, [ ~( =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' )
% 168.83/169.38 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( 'c_List_Odrop'(
% 168.83/169.38 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'c_List_Olist_OCons'(
% 168.83/169.38 Y, Z, T ), T ), 'c_List_Olist_OCons'( Y, Z, T ) ) ] )
% 168.83/169.38 , clause( 321338, [ =( 'c_List_Osplice'( 'c_List_Olist_OCons'( X, Y, Z ),
% 168.83/169.38 'c_List_Olist_OCons'( T, U, Z ), Z ), 'c_List_Olist_OCons'( X,
% 168.83/169.38 'c_List_Olist_OCons'( T, 'c_List_Osplice'( Y, U, Z ), Z ), Z ) ) ] )
% 168.83/169.38 , clause( 321339, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 168.83/169.38 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( Y, Z, X ), X ),
% 168.83/169.38 ~( 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( T,
% 168.83/169.38 'c_List_Olist_OCons'( Y, Z, X ), X ), X ) ) ] )
% 168.83/169.38 , clause( 321340, [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T
% 168.83/169.38 , Z ), 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ] )
% 168.83/169.38 , clause( 321341, [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T
% 168.83/169.38 , Z ), 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ] )
% 168.83/169.38 , clause( 321342, [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T
% 168.83/169.38 , U ), 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U
% 168.83/169.38 ) ) ] )
% 168.83/169.38 , clause( 321343, [ =( 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X
% 168.83/169.38 , Z, T, U ), U ), 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T, U
% 168.83/169.38 ) ) ] )
% 168.83/169.38 , clause( 321344, [ =( 'c_List_Omap'( X, 'c_List_Olist_OCons'( Y, Z, T ), T
% 168.83/169.38 , U ), 'c_List_Olist_OCons'( hAPP( X, Y ), 'c_List_Omap'( X, Z, T, U ), U
% 168.83/169.38 ) ) ] )
% 168.83/169.38 , clause( 321345, [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T )
% 168.83/169.38 , T ), 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ] )
% 168.83/169.38 , clause( 321346, [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T )
% 168.83/169.38 , T ), 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ] )
% 168.83/169.38 , clause( 321347, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 168.83/169.38 'c_List_Olinorder__class_Osorted'( Y, X ), ~(
% 168.83/169.38 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( Z, Y, X ), X ) )
% 168.83/169.38 ] )
% 168.83/169.38 , clause( 321348, [ =( 'c_List_OtakeWhile'( X, 'c_List_Olist_OCons'( Y, Z,
% 168.83/169.38 T ), T ), 'c_List_Olist_OCons'( Y, 'c_List_OtakeWhile'( X, Z, T ), T ) )
% 168.83/169.38 , ~( hBOOL( hAPP( X, Y ) ) ) ] )
% 168.83/169.38 , clause( 321349, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 168.83/169.38 'tc_nat' ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ),
% 168.83/169.38 'tc_nat' ), =( X, 'c_List_Olist_ONil'( Y ) ) ] )
% 168.83/169.38 , clause( 321350, [ ~( 'c_HOL_Oord__class_Oless'(
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Nat_Osize__class_Osize'(
% 168.83/169.38 'c_List_Olist_ONil'( X ), 'tc_List_Olist'( X ) ), 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321351, [ =( 'c_List_Olast'( 'c_List_Oappend'( X,
% 168.83/169.38 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( Z ), Z ), Z ), Z ), Y ) ]
% 168.83/169.38 )
% 168.83/169.38 , clause( 321352, [ =( 'c_List_Obutlast'( 'c_List_Oappend'( X,
% 168.83/169.38 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( Z ), Z ), Z ), Z ), X ) ]
% 168.83/169.38 )
% 168.83/169.38 , clause( 321353, [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, Y, Z ), Z )
% 168.83/169.38 , 'c_List_Oappend'( 'c_List_Orev'( Y, Z ), 'c_List_Olist_OCons'( X,
% 168.83/169.38 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ] )
% 168.83/169.38 , clause( 321354, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T
% 168.83/169.38 , Y ) ) ), =( X, 'c_List_Oappend'( 'c_List_Orev'( T, Y ),
% 168.83/169.38 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( Y ), Y ), Y ) ) ] )
% 168.83/169.38 , clause( 321355, [ =( 'c_List_Orev'( 'c_List_Oappend'( 'c_List_Orev'( X, Y
% 168.83/169.38 ), 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( Y ), Y ), Y ), Y ),
% 168.83/169.38 'c_List_Olist_OCons'( Z, X, Y ) ) ] )
% 168.83/169.38 , clause( 321356, [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 168.83/169.38 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( Z ), Z ), Z ),
% 168.83/169.38 'c_List_Olist_OCons'( Y, 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ] )
% 168.83/169.38 , clause( 321357, [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ),
% 168.83/169.38 'c_List_Olist_ONil'( X ), X ), 'c_List_Olist_ONil'( X ) ) ] )
% 168.83/169.38 , clause( 321358, [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Olist_ONil'(
% 168.83/169.38 T ) ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ] )
% 168.83/169.38 , clause( 321359, [ =( 'c_List_Olist_ONil'( X ), 'c_List_Orev'(
% 168.83/169.38 'c_List_Olist_ONil'( X ), X ) ) ] )
% 168.83/169.38 , clause( 321360, [ =( 'c_List_Obutlast'( 'c_List_Olist_ONil'( X ), X ),
% 168.83/169.38 'c_List_Olist_ONil'( X ) ) ] )
% 168.83/169.38 , clause( 321361, [ =( 'c_List_OtakeWhile'( X, 'c_List_Olist_ONil'( Y ), Y
% 168.83/169.38 ), 'c_List_Olist_ONil'( Y ) ) ] )
% 168.83/169.38 , clause( 321362, [ ~( =( X, 'c_List_Oappend'( Y, X, Z ) ) ), =( Y,
% 168.83/169.38 'c_List_Olist_ONil'( Z ) ) ] )
% 168.83/169.38 , clause( 321363, [ ~( =( 'c_List_Oappend'( X, Y, Z ), Y ) ), =( X,
% 168.83/169.38 'c_List_Olist_ONil'( Z ) ) ] )
% 168.83/169.38 , clause( 321364, [ ~( =( X, 'c_List_Oappend'( X, Y, Z ) ) ), =( Y,
% 168.83/169.38 'c_List_Olist_ONil'( Z ) ) ] )
% 168.83/169.38 , clause( 321365, [ ~( =( 'c_List_Oappend'( X, Y, Z ), X ) ), =( Y,
% 168.83/169.38 'c_List_Olist_ONil'( Z ) ) ] )
% 168.83/169.38 , clause( 321366, [ =( 'c_List_Osplice'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 168.83/169.38 X ) ] )
% 168.83/169.38 , clause( 321367, [ =( 'c_List_Osplice'( 'c_List_Olist_ONil'( X ), Y, X ),
% 168.83/169.38 Y ) ] )
% 168.83/169.38 , clause( 321368, [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Orev'( Y, X ) )
% 168.83/169.38 ), =( Y, 'c_List_Olist_ONil'( X ) ) ] )
% 168.83/169.38 , clause( 321369, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'(
% 168.83/169.38 Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ] )
% 168.83/169.38 , clause( 321370, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'(
% 168.83/169.38 Z ) ) ), =( X, 'c_List_Olist_ONil'( Z ) ) ] )
% 168.83/169.38 , clause( 321371, [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z
% 168.83/169.38 , X ) ) ), =( Z, 'c_List_Olist_ONil'( X ) ) ] )
% 168.83/169.38 , clause( 321372, [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z
% 168.83/169.38 , X ) ) ), =( Y, 'c_List_Olist_ONil'( X ) ) ] )
% 168.83/169.38 , clause( 321373, [ =( 'c_List_Odrop'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 168.83/169.38 'c_List_Olist_ONil'( Y ) ) ] )
% 168.83/169.38 , clause( 321374, [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y, Z, T
% 168.83/169.38 , X ) ) ), =( Z, 'c_List_Olist_ONil'( T ) ) ] )
% 168.83/169.38 , clause( 321375, [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y
% 168.83/169.38 ) ) ] )
% 168.83/169.38 , clause( 321376, [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), Y, X ),
% 168.83/169.38 Y ) ] )
% 168.83/169.38 , clause( 321377, [ =( X, 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y
% 168.83/169.38 ) ) ] )
% 168.83/169.38 , clause( 321378, [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y
% 168.83/169.38 ) ) ] )
% 168.83/169.38 , clause( 321379, [ =( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 168.83/169.38 X ) ] )
% 168.83/169.38 , clause( 321380, [ =( 'c_List_Otake'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 168.83/169.38 'c_List_Olist_ONil'( Y ) ) ] )
% 168.83/169.38 , clause( 321381, [ 'c_List_Olistsp'( X, 'c_List_Olist_ONil'( Y ), Y ) ] )
% 168.83/169.38 , clause( 321382, [ =( 'c_List_Omap'( X, 'c_List_Olist_ONil'( Y ), Y, Z ),
% 168.83/169.38 'c_List_Olist_ONil'( Z ) ) ] )
% 168.83/169.38 , clause( 321383, [ =( 'c_List_Osublist'( 'c_List_Olist_ONil'( X ), Y, X )
% 168.83/169.38 , 'c_List_Olist_ONil'( X ) ) ] )
% 168.83/169.38 , clause( 321384, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 168.83/169.38 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_ONil'( X ), X ) ] )
% 168.83/169.38 , clause( 321385, [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil'( X ), Y
% 168.83/169.38 , Z, X ), 'c_List_Olist_ONil'( X ) ) ] )
% 168.83/169.38 , clause( 321386, [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil'( X ), Y
% 168.83/169.38 , Z, X ), 'c_List_Olist_ONil'( X ) ) ] )
% 168.83/169.38 , clause( 321387, [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil'( X ), Y
% 168.83/169.38 , Z, X ), 'c_List_Olist_ONil'( X ) ) ] )
% 168.83/169.38 , clause( 321388, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil'( Y ) )
% 168.83/169.38 ), =( X, 'c_List_Olist_ONil'( Y ) ) ] )
% 168.83/169.38 , clause( 321389, [ =( 'c_List_Olist_ONil'( X ), 'c_List_Omap'( Y,
% 168.83/169.38 'c_List_Olist_ONil'( Z ), Z, X ) ) ] )
% 168.83/169.38 , clause( 321390, [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'(
% 168.83/169.38 'c_List_Olist_ONil'( X ), 'c_List_Olist_ONil'( X ), X ) ) ] )
% 168.83/169.38 , clause( 321391, [ =( 'c_List_Orev'( 'c_List_Olist_ONil'( X ), X ),
% 168.83/169.38 'c_List_Olist_ONil'( X ) ) ] )
% 168.83/169.38 , clause( 321392, [ ~( =( 'c_List_Olist__update'( X, Y, Z, T ),
% 168.83/169.38 'c_List_Olist_ONil'( T ) ) ), =( X, 'c_List_Olist_ONil'( T ) ) ] )
% 168.83/169.38 , clause( 321393, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 168.83/169.38 'c_List_Olistsum'( Y, X ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X
% 168.83/169.38 ), 'c_HOL_Ozero__class_Ozero'( X ), Y, X, X ) ) ] )
% 168.83/169.38 , clause( 321394, [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP(
% 168.83/169.38 'c_Lambda_OdB_OApp', X ), Y ) ), Z ), T ), hAPP( hAPP(
% 168.83/169.38 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst', X ), Z ), T ) )
% 168.83/169.38 , hAPP( hAPP( hAPP( 'c_Lambda_Osubst', Y ), Z ), T ) ) ) ] )
% 168.83/169.38 , clause( 321395, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 168.83/169.38 'c_Lambda_OdB_OAbs'( Z ) ) ) ] )
% 168.83/169.38 , clause( 321396, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), hAPP( hAPP(
% 168.83/169.38 'c_Lambda_OdB_OApp', Y ), Z ) ) ) ] )
% 168.83/169.38 , clause( 321397, [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 168.83/169.38 hAPP( hAPP( 'c_Lambda_OdB_OApp', U ), W ), 't_a' ) ) ) ), hBOOL( hAPP( X
% 168.83/169.38 , hAPP( hAPP( Z, U ), W ) ) ) ] )
% 168.83/169.38 , clause( 321398, [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 168.83/169.38 hAPP( hAPP( 'c_Lambda_OdB_OApp', U ), W ), 't_a' ) ) ) ), hBOOL( hAPP( X
% 168.83/169.38 , hAPP( hAPP( Z, U ), W ) ) ) ] )
% 168.83/169.38 , clause( 321399, [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z, hAPP( hAPP(
% 168.83/169.38 'c_Lambda_OdB_OApp', T ), U ), W ), hAPP( hAPP( Y, T ), U ) ) ] )
% 168.83/169.38 , clause( 321400, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP(
% 168.83/169.38 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Z
% 168.83/169.38 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', Y ), Z ) ) ) ] )
% 168.83/169.38 , clause( 321401, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP(
% 168.83/169.38 'c_Lambda_OdB_OApp', X ), Y ) ), hAPP( hAPP( 'c_Lambda_OdB_OApp', Z ), Y
% 168.83/169.38 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), Z ) ) ) ] )
% 168.83/169.38 , clause( 321402, [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), =(
% 168.83/169.38 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), T, X, X ), hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldl'(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), Z, T, X, X ) ) ) ] )
% 168.83/169.38 , clause( 321403, [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Oappend'( Z, T, U ),
% 168.83/169.38 W, U ), 'c_List_Ofoldl'( X, 'c_List_Ofoldl'( X, Y, Z, W, U ), T, W, U ) )
% 168.83/169.38 ] )
% 168.83/169.38 , clause( 321404, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OVar'( Y
% 168.83/169.38 ) ) ) ] )
% 168.83/169.38 , clause( 321405, [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 168.83/169.38 'c_Lambda_OdB_OVar'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, U ) ) )
% 168.83/169.38 ] )
% 168.83/169.38 , clause( 321406, [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 168.83/169.38 'c_Lambda_OdB_OVar'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Y, U ) ) )
% 168.83/169.38 ] )
% 168.83/169.38 , clause( 321407, [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 168.83/169.38 'c_Lambda_OdB_OVar'( X ) ), Y ), X ), Y ) ] )
% 168.83/169.38 , clause( 321408, [ ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta',
% 168.83/169.38 'c_Lambda_OdB_OVar'( X ) ), Y ) ) ) ] )
% 168.83/169.38 , clause( 321409, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OAbs'( Y
% 168.83/169.38 ) ) ) ] )
% 168.83/169.38 , clause( 321410, [ =( 'c_List_Orev'( 'c_List_Omap'( X, Y, Z, T ), T ),
% 168.83/169.38 'c_List_Omap'( X, 'c_List_Orev'( Y, Z ), Z, T ) ) ] )
% 168.83/169.38 , clause( 321411, [ ~( =( 'c_List_Oreplicate'( X, Y, Z ),
% 168.83/169.38 'c_List_Oreplicate'( T, U, Z ) ) ), =( X, T ) ] )
% 168.83/169.38 , clause( 321412, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T
% 168.83/169.38 , Y, Z ) ) ), =( X, T ) ] )
% 168.83/169.38 , clause( 321413, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( X
% 168.83/169.38 , T, Z ) ) ), =( Y, T ) ] )
% 168.83/169.38 , clause( 321414, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 168.83/169.38 'c_List_Olinorder__class_Osorted'( 'c_List_Otake'( Y, Z, X ), X ), ~(
% 168.83/169.38 'c_List_Olinorder__class_Osorted'( Z, X ) ) ] )
% 168.83/169.38 , clause( 321415, [ =( 'c_List_Onth'( 'c_List_Oappend'( X,
% 168.83/169.38 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_Nat_Osize__class_Osize'( X,
% 168.83/169.38 'tc_List_Olist'( T ) ), T ), Y ) ] )
% 168.83/169.38 , clause( 321416, [ =( 'c_List_OtakeWhile'( X, Y, Z ), 'c_List_Otake'(
% 168.83/169.38 'c_Nat_Osize__class_Osize'( 'c_List_OtakeWhile'( X, Y, Z ),
% 168.83/169.38 'tc_List_Olist'( Z ) ), Y, Z ) ) ] )
% 168.83/169.38 , clause( 321417, [ ~( hBOOL( hAPP( X, 'c_List_Onth'( Y,
% 168.83/169.38 'c_Nat_Osize__class_Osize'( 'c_List_OtakeWhile'( X, Y, Z ),
% 168.83/169.38 'tc_List_Olist'( Z ) ), Z ) ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 168.83/169.38 'c_Nat_Osize__class_Osize'( 'c_List_OtakeWhile'( X, Y, Z ),
% 168.83/169.38 'tc_List_Olist'( Z ) ), 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z
% 168.83/169.38 ) ), 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321418, [ =( X, 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ) ) ] )
% 168.83/169.38 , clause( 321419, [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ] )
% 168.83/169.38 , clause( 321420, [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ] )
% 168.83/169.38 , clause( 321421, [ =( 'c_List_Oappend'( 'c_List_Obutlast'( X, Y ),
% 168.83/169.38 'c_List_Olist_OCons'( 'c_List_Olast'( X, Y ), 'c_List_Olist_ONil'( Y ), Y
% 168.83/169.38 ), Y ), X ), =( X, 'c_List_Olist_ONil'( Y ) ) ] )
% 168.83/169.38 , clause( 321422, [ =( X, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X,
% 168.83/169.38 'tc_List_Olist'( Y ) ), 'c_List_Oappend'( X, Z, Y ), Y ) ) ] )
% 168.83/169.38 , clause( 321423, [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Omap'( X, Y, Z,
% 168.83/169.38 T ), 'tc_List_Olist'( T ) ), 'c_Nat_Osize__class_Osize'( Y,
% 168.83/169.38 'tc_List_Olist'( Z ) ) ) ] )
% 168.83/169.38 , clause( 321424, [ =( 'c_List_Omap'( X, 'c_List_Oreplicate'( Y, Z, T ), T
% 168.83/169.38 , U ), 'c_List_Oreplicate'( Y, hAPP( X, Z ), U ) ) ] )
% 168.83/169.38 , clause( 321425, [ =( 'c_List_Onth'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 168.83/169.38 'c_List_Onth'( X, T, Z ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 168.83/169.38 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321426, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 168.83/169.38 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ] )
% 168.83/169.38 , clause( 321427, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 168.83/169.38 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ] )
% 168.83/169.38 , clause( 321428, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 168.83/169.38 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ] )
% 168.83/169.38 , clause( 321429, [ =( 'c_List_Orev'( 'c_List_Oreplicate'( X, Y, Z ), Z ),
% 168.83/169.38 'c_List_Oreplicate'( X, Y, Z ) ) ] )
% 168.83/169.38 , clause( 321430, [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 168.83/169.38 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 168.83/169.38 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ] )
% 168.83/169.38 , clause( 321431, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 168.83/169.38 ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 168.83/169.38 ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 168.83/169.38 , clause( 321432, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 168.83/169.38 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 168.83/169.38 ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 168.83/169.38 , Y ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 168.83/169.38 , clause( 321433, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 168.83/169.38 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 168.83/169.38 , clause( 321434, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 168.83/169.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 168.83/169.38 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 168.83/169.38 , clause( 321435, [ ~( 'c_HOL_Oord__class_Oless'( X,
% 168.83/169.38 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ), =(
% 168.83/169.38 'c_List_Onth'( 'c_List_Olist__update'( Y, X, T, Z ), X, Z ), T ) ] )
% 168.83/169.38 , clause( 321436, [ =( 'c_List_Onth'( 'c_List_Olist__update'( X, Y, Z, T )
% 168.83/169.38 , Y, T ), Z ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 168.83/169.38 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T ) ), 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321437, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 168.83/169.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 168.83/169.38 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 168.83/169.38 , clause( 321438, [ =( 'c_List_Olast'( 'c_List_Odrop'( X, Y, Z ), Z ),
% 168.83/169.38 'c_List_Olast'( Y, Z ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 168.83/169.38 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321439, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_Lambda_OdB_OAbs'( Y
% 168.83/169.38 ) ) ), =( X, Y ) ] )
% 168.83/169.38 , clause( 321440, [ =( 'c_List_Otake'( X, 'c_List_Obutlast'( Y, Z ), Z ),
% 168.83/169.38 'c_List_Otake'( X, Y, Z ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 168.83/169.38 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321441, [ ~( =( 'c_List_Omap'( X, Y, Z, T ), 'c_List_Omap'( X, U
% 168.83/169.38 , Z, T ) ) ), =( 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ),
% 168.83/169.38 'c_Nat_Osize__class_Osize'( U, 'tc_List_Olist'( Z ) ) ) ] )
% 168.83/169.38 , clause( 321442, [ ~( =( X, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X
% 168.83/169.38 , 'tc_List_Olist'( Y ) ), Z, Y ) ) ), =( 'c_List_Oappend'( X,
% 168.83/169.38 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), Z
% 168.83/169.38 , Y ), Y ), Z ) ] )
% 168.83/169.38 , clause( 321443, [ =( 'c_List_Olist__update'( 'c_List_Oappend'( X, Y, Z )
% 168.83/169.38 , T, U, Z ), 'c_List_Oappend'( 'c_List_Olist__update'( X, T, U, Z ), Y, Z
% 168.83/169.38 ) ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_Nat_Osize__class_Osize'( X,
% 168.83/169.38 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321444, [ =( 'c_List_Olist__update'( 'c_List_Oappend'( X, Y, Z )
% 168.83/169.38 , T, U, Z ), 'c_List_Oappend'( 'c_List_Olist__update'( X, T, U, Z ), Y, Z
% 168.83/169.38 ) ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_Nat_Osize__class_Osize'( X,
% 168.83/169.38 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321445, [ =( 'c_List_Onth'( 'c_List_Oreplicate'( X, Y, Z ), T, Z
% 168.83/169.38 ), Y ), ~( 'c_HOL_Oord__class_Oless'( T, X, 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321446, [ =( 'c_List_OtakeWhile'( X, 'c_List_Oappend'( Y,
% 168.83/169.38 'c_List_Olist_OCons'( Z, T, U ), U ), U ), 'c_List_OtakeWhile'( X, Y, U )
% 168.83/169.38 ), hBOOL( hAPP( X, Z ) ) ] )
% 168.83/169.38 , clause( 321447, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321448, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321449, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 168.83/169.38 , clause( 321450, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 168.83/169.38 , clause( 321451, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 168.83/169.38 , clause( 321452, [ =( 'c_List_Olast'( 'c_List_Oappend'( X, Y, Z ), Z ),
% 168.83/169.38 'c_List_Olast'( Y, Z ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ] )
% 168.83/169.38 , clause( 321453, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP(
% 168.83/169.38 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ) ), Y ) ), hAPP( hAPP( hAPP(
% 168.83/169.38 'c_Lambda_Osubst', X ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) )
% 168.83/169.38 ] )
% 168.83/169.38 , clause( 321454, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 168.83/169.38 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 168.83/169.38 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 168.83/169.38 , clause( 321455, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 168.83/169.38 'c_List_Olistsum'( 'c_List_Olist_OCons'( Y, Z, X ), X ), hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Olistsum'( Z, X ) ) ) ] )
% 168.83/169.38 , clause( 321456, [ =( 'c_List_Omap'( X, 'c_List_Oappend'( Y, Z, T ), T, U
% 168.83/169.38 ), 'c_List_Oappend'( 'c_List_Omap'( X, Y, T, U ), 'c_List_Omap'( X, Z, T
% 168.83/169.38 , U ), U ) ) ] )
% 168.83/169.38 , clause( 321457, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 168.83/169.38 ), =( Z, Y ) ] )
% 168.83/169.38 , clause( 321458, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 168.83/169.38 ) ] )
% 168.83/169.38 , clause( 321459, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ),
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), =( Y, X ) ] )
% 168.83/169.38 , clause( 321460, [ hBOOL( hAPP( hAPP( X, Y ), Z ) ),
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), =( Z, Y ),
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ] )
% 168.83/169.38 , clause( 321461, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ),
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), =( Y, X ) ] )
% 168.83/169.38 , clause( 321462, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 168.83/169.38 ), =( Z, Y ) ] )
% 168.83/169.38 , clause( 321463, [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 168.83/169.38 'c_List_Oreplicate'( T, Y, Z ), Z ), 'c_List_Oappend'(
% 168.83/169.38 'c_List_Oreplicate'( T, Y, Z ), 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ]
% 168.83/169.38 )
% 168.83/169.38 , clause( 321464, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ),
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 168.83/169.38 , clause( 321465, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 168.83/169.38 ) ] )
% 168.83/169.38 , clause( 321466, [ ~(
% 168.83/169.38 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 168.83/169.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 168.83/169.38 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 168.83/169.38 T, X ) ) ] )
% 168.83/169.38 , clause( 321467, [ =( 'c_List_Onth'( 'c_List_Omap'( X, Y, Z, T ), U, T ),
% 168.83/169.38 hAPP( X, 'c_List_Onth'( Y, U, Z ) ) ), ~( 'c_HOL_Oord__class_Oless'( U,
% 168.83/169.38 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321468, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 168.83/169.38 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 168.83/169.38 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321469, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 168.83/169.38 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 168.83/169.38 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ] )
% 168.83/169.38 , clause( 321470, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) )
% 168.83/169.38 , =( X, Z ) ] )
% 168.83/169.38 , clause( 321471, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 168.83/169.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 168.83/169.38 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 168.83/169.38 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321472, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 168.83/169.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 168.83/169.38 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 168.83/169.38 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ] )
% 168.83/169.38 , clause( 321473, [ =( 'c_List_Olast'( 'c_List_Oappend'( X,
% 168.83/169.38 'c_List_Olist_ONil'( Y ), Y ), Y ), 'c_List_Olast'( X, Y ) ) ] )
% 168.83/169.38 , clause( 321474, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 168.83/169.38 'c_List_Olistsum'( 'c_List_Orev'( Y, X ), X ), 'c_List_Olistsum'( Y, X )
% 168.83/169.38 ) ] )
% 168.83/169.38 , clause( 321475, [ 'c_List_Olistsp'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 168.83/169.38 ~( 'c_List_Olistsp'( X, Z, T ) ), ~( 'c_List_Olistsp'( X, Y, T ) ) ] )
% 168.83/169.38 , clause( 321476, [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Oreplicate'( X,
% 168.83/169.38 Y, Z ), 'tc_List_Olist'( Z ) ), X ) ] )
% 168.83/169.38 , clause( 321477, [ =( 'c_List_Olist__update'( X, Y, 'c_List_Onth'( X, Y, Z
% 168.83/169.38 ), Z ), X ) ] )
% 168.83/169.38 , clause( 321478, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 168.83/169.38 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 168.83/169.38 , clause( 321479, [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst',
% 168.83/169.38 'c_Lambda_OdB_OVar'( X ) ), Y ), Z ), 'c_Lambda_OdB_OVar'( X ) ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321480, [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 168.83/169.38 'c_Lambda_OdB_OAbs'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( T, U ) ) )
% 168.83/169.38 ] )
% 168.83/169.38 , clause( 321481, [ ~( hBOOL( hAPP( X, 'c_Lambda_OdB_OdB__case'( Y, Z, T,
% 168.83/169.38 'c_Lambda_OdB_OAbs'( U ), 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( T, U ) ) )
% 168.83/169.38 ] )
% 168.83/169.38 , clause( 321482, [ =( 'c_List_Olist__update'( 'c_List_Oappend'( X,
% 168.83/169.38 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_Nat_Osize__class_Osize'( X,
% 168.83/169.38 'tc_List_Olist'( T ) ), U, T ), 'c_List_Oappend'( X, 'c_List_Olist_OCons'(
% 168.83/169.38 U, Z, T ), T ) ) ] )
% 168.83/169.38 , clause( 321483, [ ~(
% 168.83/169.38 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 168.83/169.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 168.83/169.38 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 168.83/169.38 , clause( 321484, [ ~(
% 168.83/169.38 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 168.83/169.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 168.83/169.38 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 168.83/169.38 , clause( 321485, [ ~(
% 168.83/169.38 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 168.83/169.38 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ] )
% 168.83/169.38 , clause( 321486, [ ~(
% 168.83/169.38 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 168.83/169.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 168.83/169.38 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 168.83/169.38 , clause( 321487, [ ~(
% 168.83/169.38 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 168.83/169.38 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 168.83/169.38 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 168.83/169.38 , clause( 321488, [ ~(
% 168.83/169.38 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 168.83/169.38 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ] )
% 168.83/169.38 , clause( 321489, [ ~( =( 'c_List_Odrop'( X, Y, Z ), 'c_List_Olist_OCons'(
% 168.83/169.38 T, U, Z ) ) ), =( 'c_List_Onth'( Y, X, Z ), T ) ] )
% 168.83/169.38 , clause( 321490, [ ~( =( 'c_List_Oappend'( 'c_List_Odrop'(
% 168.83/169.38 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), Z, Y ),
% 168.83/169.38 'c_List_Oappend'( 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( Z,
% 168.83/169.38 'tc_List_Olist'( Y ) ), X, Y ), T, Y ), Y ), T ) ), ~( =( 'c_List_Otake'(
% 168.83/169.38 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), Z, Y ), X ) ), ~(
% 168.83/169.38 =( Z, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y )
% 168.83/169.38 ), X, Y ) ) ), =( 'c_List_Oappend'( Z, 'c_List_Oappend'( 'c_List_Odrop'(
% 168.83/169.38 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y ) ), X, Y ), T, Y ), Y
% 168.83/169.38 ), 'c_List_Oappend'( X, T, Y ) ) ] )
% 168.83/169.38 , clause( 321491, [ 'c_Type_Otyping'( X, Y, Z ), ~( hBOOL( hAPP( hAPP(
% 168.83/169.38 'c_Lambda_Obeta', T ), Y ) ) ), ~( 'c_Type_Otyping'( X, T, Z ) ) ] )
% 168.83/169.38 , clause( 321492, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 168.83/169.38 'c_List_Olinorder__class_Osorted'( Y, X ), ~(
% 168.83/169.38 'c_List_Olinorder__class_Osorted'( 'c_List_Oappend'( Y, Z, X ), X ) ) ]
% 168.83/169.38 )
% 168.83/169.38 , clause( 321493, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 168.83/169.38 'c_List_Olinorder__class_Osorted'( Y, X ), ~(
% 168.83/169.38 'c_List_Olinorder__class_Osorted'( 'c_List_Oappend'( Z, Y, X ), X ) ) ]
% 168.83/169.38 )
% 168.83/169.38 , clause( 321494, [ =( 'c_List_Olist__update'( 'c_List_Olist__update'( X, Y
% 168.83/169.38 , Z, T ), U, W, T ), 'c_List_Olist__update'( 'c_List_Olist__update'( X, U
% 168.83/169.38 , W, T ), Y, Z, T ) ), =( Y, U ) ] )
% 168.83/169.38 , clause( 321495, [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 168.83/169.38 'c_List_Olist_OCons'( Y, T, Z ), Z ), 'c_List_Olist_OCons'( Y,
% 168.83/169.38 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ), T, Z ), Z ) ) ] )
% 168.83/169.38 , clause( 321496, [ =( 'c_List_Odrop'( X, 'c_List_Omap'( Y, Z, T, U ), U )
% 168.83/169.38 , 'c_List_Omap'( Y, 'c_List_Odrop'( X, Z, T ), T, U ) ) ] )
% 168.83/169.38 , clause( 321497, [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Orev'( X, Y ),
% 168.83/169.38 'tc_List_Olist'( Y ) ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y
% 168.83/169.38 ) ) ) ] )
% 168.83/169.38 , clause( 321498, [ =( 'c_List_Obutlast'( 'c_List_Oappend'( X, Y, Z ), Z )
% 168.83/169.38 , 'c_List_Oappend'( X, 'c_List_Obutlast'( Y, Z ), Z ) ), =( Y,
% 168.83/169.38 'c_List_Olist_ONil'( Z ) ) ] )
% 168.83/169.38 , clause( 321499, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 168.83/169.38 'c_List_Olistsum'( 'c_List_Oappend'( Y, Z, X ), X ), hAPP( hAPP(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), 'c_List_Olistsum'( Y, X ) ),
% 168.83/169.38 'c_List_Olistsum'( Z, X ) ) ) ] )
% 168.83/169.38 , clause( 321500, [ =( 'c_List_Onth'( 'c_List_Olist__update'( X, Y, Z, T )
% 168.83/169.38 , U, T ), 'c_List_Onth'( X, U, T ) ), =( Y, U ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Y, 'c_Nat_Osize__class_Osize'( X,
% 168.83/169.38 'tc_List_Olist'( T ) ), 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321501, [ =( 'c_List_Olist__update'( 'c_List_Olist__update'( X, Y
% 168.83/169.38 , Z, T ), Y, U, T ), 'c_List_Olist__update'( X, Y, U, T ) ) ] )
% 168.83/169.38 , clause( 321502, [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z
% 168.83/169.38 ), 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ] )
% 168.83/169.38 , clause( 321503, [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T
% 168.83/169.38 ), 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ] )
% 168.83/169.38 , clause( 321504, [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z
% 168.83/169.38 ), 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ] )
% 168.83/169.38 , clause( 321505, [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T
% 168.83/169.38 ), 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ] )
% 168.83/169.38 , clause( 321506, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 168.83/169.38 Y, X ) ) ] )
% 168.83/169.38 , clause( 321507, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 168.83/169.38 Y, X ) ) ] )
% 168.83/169.38 , clause( 321508, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 168.83/169.38 Y, X ) ) ] )
% 168.83/169.38 , clause( 321509, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 168.83/169.38 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 168.83/169.38 Y, X ) ) ] )
% 168.83/169.38 , clause( 321510, [ =( hAPP( X, Y ), Z ), ~( 'c_Type_Otyping'( X,
% 168.83/169.38 'c_Lambda_OdB_OVar'( Y ), Z ) ) ] )
% 168.83/169.38 , clause( 321511, [ =( 'c_Lambda_OdB_OdB__case'( X, Y, Z,
% 168.83/169.38 'c_Lambda_OdB_OVar'( T ), U ), hAPP( X, T ) ) ] )
% 168.83/169.38 , clause( 321512, [ 'c_Type_Otyping'( X, 'c_Lambda_OdB_OVar'( Y ), hAPP( X
% 168.83/169.38 , Y ) ) ] )
% 168.83/169.38 , clause( 321513, [ 'c_List_Olistsp'( 'c_InductTermi_OIT', 'c_List_Omap'(
% 168.83/169.38 'c_COMBC'( 'c_Lambda_Olift', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 168.83/169.38 'tc_Lambda_OdB', 'tc_nat', 'tc_Lambda_OdB' ), X, 'tc_Lambda_OdB',
% 168.83/169.38 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), ~( 'c_List_Olistsp'(
% 168.83/169.38 'c_InductTermi_OIT', X, 'tc_Lambda_OdB' ) ) ] )
% 168.83/169.38 , clause( 321514, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_s____' ) ) ] )
% 168.83/169.38 , clause( 321515, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OAbs'(
% 168.83/169.38 X ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X ) ) ) ] )
% 168.83/169.38 , clause( 321516, [ =( hAPP( hAPP( hAPP( 'c_Lambda_Osubst', hAPP( hAPP(
% 168.83/169.38 'c_Lambda_Olift', X ), Y ) ), Z ), Y ), X ) ] )
% 168.83/169.38 , clause( 321517, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', hAPP( hAPP(
% 168.83/169.38 'c_Lambda_Olift', X ), Y ) ), hAPP( hAPP( 'c_Lambda_Olift', Z ), Y ) ) )
% 168.83/169.38 , ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), Z ) ) ) ] )
% 168.83/169.38 , clause( 321518, [ =( 'c_List_Osublist'( 'c_List_Olist_OCons'( X,
% 168.83/169.38 'c_List_Olist_ONil'( Y ), Y ), Z, Y ), 'c_List_Olist_OCons'( X,
% 168.83/169.38 'c_List_Olist_ONil'( Y ), Y ) ), ~( 'c_in'( 'c_HOL_Ozero__class_Ozero'(
% 168.83/169.38 'tc_nat' ), Z, 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321519, [ ~( =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' )
% 168.83/169.38 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( 'c_List_Otake'(
% 168.83/169.38 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'c_List_Olist_OCons'(
% 168.83/169.38 Y, Z, T ), T ), 'c_List_Olist_ONil'( T ) ) ] )
% 168.83/169.38 , clause( 321520, [ =( 'c_List_Osublist'( 'c_List_Olist_OCons'( X,
% 168.83/169.38 'c_List_Olist_ONil'( Y ), Y ), Z, Y ), 'c_List_Olist_ONil'( Y ) ), 'c_in'(
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ] )
% 168.83/169.38 , clause( 321521, [ =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 168.83/169.38 'c_Lambda_OdB_OVar'( Y ),
% 168.83/169.38 'c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1'( Y, Z, X ),
% 168.83/169.38 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), ~( hBOOL( hAPP( hAPP(
% 168.83/169.38 'c_Lambda_Obeta', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 168.83/169.38 'c_Lambda_OdB_OVar'( Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), X ) )
% 168.83/169.38 ) ] )
% 168.83/169.38 , clause( 321522, [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_List_Ofoldl'(
% 168.83/169.38 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ),
% 168.83/169.38 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_Olift', X ),
% 168.83/169.38 Z ), 'c_List_Omap'( 'c_COMBC'( 'c_Lambda_Olift', Z, 'tc_Lambda_OdB',
% 168.83/169.38 'tc_nat', 'tc_Lambda_OdB' ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 168.83/169.38 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ] )
% 168.83/169.38 , clause( 321523, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 168.83/169.38 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 168.83/169.38 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 168.83/169.38 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 168.83/169.38 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321524, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 168.83/169.38 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 168.83/169.38 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321525, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 168.83/169.38 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 168.83/169.38 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 168.83/169.38 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 168.83/169.38 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ] )
% 168.83/169.38 , clause( 321526, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 168.83/169.38 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 168.83/169.38 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 168.83/169.38 , clause( 321527, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 168.83/169.38 'c_List_Olistsum'( 'c_List_Olist_ONil'( X ), X ),
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 168.83/169.38 , clause( 321528, [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ),
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z ), X ) ] )
% 168.83/169.38 , clause( 321529, [ =( 'c_List_Odrop'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 168.83/169.38 ), 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_OCons'( X, Y, Z )
% 168.83/169.38 ) ] )
% 168.83/169.38 , clause( 321530, [ =( 'c_List_Olist__update'( 'c_List_Olist_OCons'( X, Y,
% 168.83/169.38 Z ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), T, Z ), 'c_List_Olist_OCons'(
% 168.83/169.38 T, Y, Z ) ) ] )
% 168.83/169.38 , clause( 321531, [ =( 'c_List_Olist_Olist__size'( X, 'c_List_Olist_ONil'(
% 168.83/169.38 Y ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321532, [ =( 'c_List_Olist_Olist__size'( X, 'c_List_Olist_ONil'(
% 168.83/169.38 Y ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321533, [ ~( =( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y
% 168.83/169.38 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 168.83/169.38 'c_List_Olist_ONil'( Y ) ) ] )
% 168.83/169.38 , clause( 321534, [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'( Y
% 168.83/169.38 , Z, X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321535, [ ~( =( 'c_List_Oreplicate'( X, Y, Z ),
% 168.83/169.38 'c_List_Olist_ONil'( Z ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 168.83/169.38 ) ) ] )
% 168.83/169.38 , clause( 321536, [ =( 'c_List_Otake'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 168.83/169.38 ), X, Y ), 'c_List_Olist_ONil'( Y ) ) ] )
% 168.83/169.38 , clause( 321537, [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'(
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, X ) ) ] )
% 168.83/169.38 , clause( 321538, [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist_ONil'( X )
% 168.83/169.38 , 'tc_List_Olist'( X ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321539, [ ~( =( 'c_List_Otake'( X, Y, Z ), 'c_List_Olist_ONil'( Z
% 168.83/169.38 ) ) ), =( Y, 'c_List_Olist_ONil'( Z ) ), =( X,
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321540, [ =( 'c_List_Olength__unique'( 'c_List_Olist_ONil'( X ),
% 168.83/169.38 X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321541, [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'(
% 168.83/169.38 'tc_nat' ), X, Y ), 'c_List_Olist_ONil'( Y ) ) ] )
% 168.83/169.38 , clause( 321542, [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 168.83/169.38 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 168.83/169.38 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( Y, U
% 168.83/169.38 ) ] )
% 168.83/169.38 , clause( 321543, [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 168.83/169.38 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 168.83/169.38 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( X, T
% 168.83/169.38 ) ] )
% 168.83/169.38 , clause( 321544, [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ),
% 168.83/169.38 'c_List_Olist_OCons'( Y, Z, X ), X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ]
% 168.83/169.38 )
% 168.83/169.38 , clause( 321545, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 168.83/169.38 'c_List_Olinorder__class_Oinsort__key'( Y, Z, 'c_List_Olist_ONil'( T ), T
% 168.83/169.38 , X ), 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( T ), T ) ) ] )
% 168.83/169.38 , clause( 321546, [ =( 'c_List_Obutlast'( 'c_List_Olist_OCons'( X, Y, Z ),
% 168.83/169.38 Z ), 'c_List_Olist_OCons'( X, 'c_List_Obutlast'( Y, Z ), Z ) ), =( Y,
% 168.83/169.38 'c_List_Olist_ONil'( Z ) ) ] )
% 168.83/169.38 , clause( 321547, [ =( 'c_List_Olast'( 'c_List_Olist_OCons'( X,
% 168.83/169.38 'c_List_Olist_ONil'( Y ), Y ), Y ), X ) ] )
% 168.83/169.38 , clause( 321548, [ =( 'c_List_Obutlast'( 'c_List_Olist_OCons'( X,
% 168.83/169.38 'c_List_Olist_ONil'( Y ), Y ), Y ), 'c_List_Olist_ONil'( Y ) ) ] )
% 168.83/169.38 , clause( 321549, [ =( 'c_List_Osplice'( 'c_List_Olist_OCons'( X, Y, Z ),
% 168.83/169.38 'c_List_Olist_ONil'( Z ), Z ), 'c_List_Olist_OCons'( X, Y, Z ) ) ] )
% 168.83/169.38 , clause( 321550, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z,
% 168.83/169.38 'c_List_Olist_ONil'( Y ), Y ) ) ), =( X, 'c_List_Olist_OCons'( Z,
% 168.83/169.38 'c_List_Olist_ONil'( Y ), Y ) ) ] )
% 168.83/169.38 , clause( 321551, [ =( 'c_List_OtakeWhile'( X, 'c_List_Olist_OCons'( Y, Z,
% 168.83/169.38 T ), T ), 'c_List_Olist_ONil'( T ) ), hBOOL( hAPP( X, Y ) ) ] )
% 168.83/169.38 , clause( 321552, [ ~( =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y )
% 168.83/169.38 , Y ), 'c_List_Orev'( Z, Y ) ) ), =( Z, 'c_List_Olist_OCons'( X,
% 168.83/169.38 'c_List_Olist_ONil'( Y ), Y ) ) ] )
% 168.83/169.38 , clause( 321553, [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X,
% 168.83/169.38 'c_List_Olist_ONil'( Y ), Y ), Y ), 'c_List_Olist_OCons'( X,
% 168.83/169.38 'c_List_Olist_ONil'( Y ), Y ) ) ] )
% 168.83/169.38 , clause( 321554, [ =( 'c_List_Olast'( 'c_List_Olist_OCons'( X, Y, Z ), Z )
% 168.83/169.38 , 'c_List_Olast'( Y, Z ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ] )
% 168.83/169.38 , clause( 321555, [ =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'(
% 168.83/169.38 'c_List_Olist_ONil'( Z ), 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ] )
% 168.83/169.38 , clause( 321556, [ =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y
% 168.83/169.38 ), 'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y )
% 168.83/169.38 , Y ) ) ] )
% 168.83/169.38 , clause( 321557, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 168.83/169.38 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( Y,
% 168.83/169.38 'c_List_Olist_ONil'( X ), X ), X ) ] )
% 168.83/169.38 , clause( 321558, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP(
% 168.83/169.38 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_List_Ofoldl'(
% 168.83/169.38 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ), Z, X, X
% 168.83/169.38 ) ), 'c_List_Ofoldl'( 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, X, X ) ) ]
% 168.83/169.38 )
% 168.83/169.38 , clause( 321559, [ =( 'c_Nat_Osize__class_Osize'( 'c_Lambda_OdB_OVar'( X )
% 168.83/169.38 , 'tc_Lambda_OdB' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321560, [ =( 'c_Lambda_OdB_OdB__size'( 'c_Lambda_OdB_OVar'( X ) )
% 168.83/169.38 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321561, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 168.83/169.38 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( X,
% 168.83/169.38 'c_Lambda_OdB_OAbs'( Z ) ) ] )
% 168.83/169.38 , clause( 321562, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 168.83/169.38 'c_Lambda_OdB_OAbs'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 168.83/169.38 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T,
% 168.83/169.38 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ] )
% 168.83/169.38 , clause( 321563, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 168.83/169.38 'c_Lambda_OdB_OAbs'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 168.83/169.38 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T,
% 168.83/169.38 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Y, T ) ] )
% 168.83/169.38 , clause( 321564, [ hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', 'c_List_Ofoldl'(
% 168.83/169.38 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ),
% 168.83/169.38 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, Y, 'tc_Lambda_OdB',
% 168.83/169.38 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_Lambda_Obeta', X ), Z ) )
% 168.83/169.38 ) ] )
% 168.83/169.38 , clause( 321565, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'(
% 168.83/169.38 'c_Lambda_OdB_OApp', Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =(
% 168.83/169.38 'c_Lambda_OdB_OAbs'( X ), Y ) ] )
% 168.83/169.38 , clause( 321566, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'(
% 168.83/169.38 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'(
% 168.83/169.38 X ) ), Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), ~( hBOOL( hAPP(
% 168.83/169.38 'c_InductTermi_OIT', Y ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT',
% 168.83/169.38 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( hAPP( 'c_Lambda_Osubst'
% 168.83/169.38 , X ), Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_Lambda_OdB'
% 168.83/169.38 , 'tc_Lambda_OdB' ) ) ) ) ] )
% 168.83/169.38 , clause( 321567, [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP( hAPP(
% 168.83/169.38 'c_Lambda_Osubst', X ), 'c_Lambda_OdB_OVar'( Y ) ), Z ) ) ), ~( hBOOL(
% 168.83/169.38 hAPP( 'c_InductTermi_OIT', X ) ) ) ] )
% 168.83/169.38 , clause( 321568, [ =( hAPP( hAPP( 'c_Lambda_Olift', 'c_Lambda_OdB_OVar'( X
% 168.83/169.38 ) ), Y ), 'c_Lambda_OdB_OVar'( X ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y
% 168.83/169.38 , 'tc_nat' ) ) ] )
% 168.83/169.38 , clause( 321569, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 168.83/169.38 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, T, 'tc_Lambda_OdB',
% 168.83/169.38 'tc_Lambda_OdB' ) ) ), =( T, 'c_List_Oappend'(
% 168.83/169.38 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1'( X
% 168.83/169.38 , Y, Z, T ), 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'(
% 168.83/169.38 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ), =( T,
% 168.83/169.38 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ] )
% 168.83/169.38 , clause( 321570, [ =( 'c_List_Otake'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 168.83/169.38 ), 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_ONil'( Z ) ) ] )
% 168.83/169.38 , clause( 321571, [ =( X, Y ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 168.83/169.38 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 168.83/169.38 'tc_Lambda_OdB' ), Y ) ), ~( 'c_Type_Otyping'( Z, 'c_List_Ofoldl'(
% 168.83/169.38 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( T ), U, 'tc_Lambda_OdB',
% 168.83/169.38 'tc_Lambda_OdB' ), X ) ) ] )
% 168.83/169.38 , clause( 321572, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 168.83/169.38 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 168.83/169.38 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( Z ), T,
% 168.83/169.38 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ] )
% 168.83/169.38 , clause( 321573, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 168.83/169.38 'c_Lambda_OdB_OAbs'( X ) ), Y ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 168.83/169.38 'c_Lambda_OdB_OVar'( Z ), T, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ] )
% 168.83/169.38 , clause( 321574, [ ~( =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'(
% 168.83/169.38 'c_Lambda_OdB_OApp', Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z,
% 168.83/169.38 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ] )
% 168.83/169.38 , clause( 321575, [ =( 'c_Lambda_OdB_OAbs'( X ), 'c_List_Ofoldl'(
% 168.83/169.38 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OAbs'( X ), 'c_List_Olist_ONil'(
% 168.83/169.38 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ] )
% 168.83/169.38 , clause( 321576, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 168.83/169.38 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, T, 'tc_Lambda_OdB',
% 168.83/169.38 'tc_Lambda_OdB' ) ) ), =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z,
% 168.83/169.38 'c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1'( X
% 168.83/169.38 , Y, Z, T ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), =( T,
% 168.83/169.38 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ] )
% 168.83/169.38 , clause( 321577, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 168.83/169.38 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( Z ) ) ), =( Y,
% 168.83/169.38 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ] )
% 168.83/169.38 , clause( 321578, [ =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 168.83/169.38 'c_Lambda_OdB_OAbs'( X ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 168.83/169.38 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_Lambda_OdB_OAbs'( X ) ) ] )
% 168.83/169.38 , clause( 321579, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'(
% 168.83/169.38 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB',
% 168.83/169.38 'tc_Lambda_OdB' ) ) ), ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', Y,
% 168.83/169.38 'tc_Lambda_OdB' ) ) ] )
% 168.83/169.38 , clause( 321580, [ =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 168.83/169.38 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 168.83/169.38 'tc_Lambda_OdB' ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ), =( hAPP(
% 168.83/169.38 hAPP( 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, X,
% 168.83/169.38 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Y ), 'c_List_Ofoldl'(
% 168.83/169.38 'c_Lambda_OdB_OApp', Z, 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 168.83/169.38 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 168.83/169.38 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ] )
% 168.83/169.38 , clause( 321581, [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', 'c_List_Ofoldl'(
% 168.83/169.38 'c_Lambda_OdB_OApp', X, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ), Z ),
% 168.83/169.38 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, 'c_List_Oappend'( Y,
% 168.83/169.38 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ),
% 168.83/169.38 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' )
% 168.83/169.38 ) ] )
% 168.83/169.38 , clause( 321582, [ ~( =( X, 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP(
% 168.83/169.38 hAPP( 'c_Lambda_OdB_OApp', X ), Y ), Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB'
% 168.83/169.38 ) ) ), =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), 'c_List_Ofoldl'(
% 168.83/169.38 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 168.83/169.38 'c_List_Oappend'( Z, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'(
% 168.83/169.38 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB'
% 168.83/169.38 , 'tc_Lambda_OdB' ) ) ] )
% 168.83/169.38 , clause( 321583, [ =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 168.83/169.38 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', hAPP( hAPP( 'c_Lambda_OdB_OApp', X
% 168.83/169.38 ), Y ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB',
% 168.83/169.38 'tc_Lambda_OdB' ) ) ] )
% 168.83/169.38 , clause( 321584, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_Lambda_OdB_OVar'( Y
% 168.83/169.38 ) ) ), =( X, Y ) ] )
% 168.83/169.38 , clause( 321585, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 168.83/169.38 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 168.83/169.38 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 168.83/169.38 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ] )
% 168.83/169.38 , clause( 321586, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp',
% 168.83/169.38 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ),
% 168.83/169.38 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( Z ), T,
% 168.83/169.38 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Y, T ) ] )
% 168.83/169.38 , clause( 321587, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 168.83/169.38 'c_List_Olist_OCons'( T, U, Z ) ) ), =( Y, U ) ] )
% 168.83/169.38 , clause( 321588, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 168.83/169.38 'c_List_Olist_OCons'( T, U, Z ) ) ), =( X, T ) ] )
% 168.83/169.38 , clause( 321589, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 168.83/169.38 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', Z, 'c_List_Olist_ONil'(
% 168.83/169.38 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( hAPP( hAPP(
% 168.83/169.38 'c_Lambda_OdB_OApp', X ), Y ), Z ) ] )
% 168.83/169.38 , clause( 321590, [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y
% 168.83/169.38 , Z, X ) ) ) ] )
% 168.83/169.38 , clause( 321591, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP(
% 168.83/169.38 hAPP( 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( X, Z ) ] )
% 168.83/169.38 , clause( 321592, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ), hAPP(
% 168.83/169.38 hAPP( 'c_Lambda_OdB_OApp', Z ), T ) ) ), =( Y, T ) ] )
% 168.83/169.38 , clause( 321593, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'(
% 168.83/169.38 'c_Lambda_OdB_OApp', Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =(
% 168.83/169.38 'c_Lambda_OdB_OVar'( X ), Y ) ] )
% 168.83/169.38 , clause( 321594, [ ~( =( 'c_Lambda_OdB_OVar'( X ), hAPP( hAPP(
% 168.83/169.38 'c_Lambda_OdB_OApp', Y ), Z ) ) ) ] )
% 168.83/169.38 , clause( 321595, [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP(
% 168.83/169.38 'c_Lambda_Olift', X ), Y ) ) ), ~( hBOOL( hAPP( 'c_InductTermi_OIT', X )
% 168.83/169.38 ) ) ] )
% 168.83/169.38 , clause( 321596, [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T,
% 168.83/169.38 Z ), Y ) ] )
% 168.83/169.38 , clause( 321597, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_Lambda_OdB_OVar'(
% 168.83/169.38 X ) ) ) ] )
% 168.83/169.38 , clause( 321598, [ =( hAPP( hAPP( 'c_Lambda_Olift', hAPP( hAPP(
% 168.83/169.38 'c_Lambda_OdB_OApp', X ), Y ) ), Z ), hAPP( hAPP( 'c_Lambda_OdB_OApp',
% 168.83/169.38 hAPP( hAPP( 'c_Lambda_Olift', X ), Z ) ), hAPP( hAPP( 'c_Lambda_Olift', Y
% 168.83/169.38 ), Z ) ) ) ] )
% 168.83/169.38 , clause( 321599, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'v_ta____' ) ) ] )
% 168.83/169.38 , clause( 321600, [ =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'(
% 168.83/169.38 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ), 'c_List_Olist_ONil'(
% 168.83/169.38 'tc_Lambda_OdB' ), 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ] )
% 168.83/169.38 , clause( 321601, [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U
% 168.83/169.38 ), W, U ), 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U ) ) ] )
% 168.83/169.38 , clause( 321602, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 168.83/169.38 'c_List_Olist_ONil'( Z ) ) ) ] )
% 168.83/169.38 , clause( 321603, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 168.83/169.38 'c_List_Olist_ONil'( Z ) ) ) ] )
% 168.83/169.38 , clause( 321604, [ ~( =( 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp', X, Y,
% 168.83/169.38 'tc_Lambda_OdB', 'tc_Lambda_OdB' ), 'c_List_Ofoldl'( 'c_Lambda_OdB_OApp'
% 168.83/169.38 , Z, Y, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( X, Z ) ] )
% 168.83/169.38 , clause( 321605, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ] )
% 168.83/169.38 , clause( 321606, [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ] )
% 168.83/169.38 , clause( 321607, [ ~( =( 'c_Lambda_OdB_OVar'( X ), 'c_List_Ofoldl'(
% 168.83/169.38 'c_Lambda_OdB_OApp', Y, Z, 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ), =( Z,
% 168.83/169.38 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ) ) ] )
% 168.83/169.38 , clause( 321608, [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP(
% 168.83/169.38 'c_Lambda_OdB_OApp', X ), 'c_Lambda_OdB_OVar'( Y ) ) ) ), ~( hBOOL( hAPP(
% 168.83/169.38 'c_InductTermi_OIT', X ) ) ) ] )
% 168.83/169.38 , clause( 321609, [ ~( =( hAPP( hAPP( 'c_Lambda_OdB_OApp', X ), Y ),
% 168.83/169.38 'c_Lambda_OdB_OVar'( Z ) ) ) ] )
% 168.83/169.38 , clause( 321610, [ 'c_List_Olistsp'( 'c_InductTermi_OIT',
% 168.83/169.38 'c_List_Olist_OCons'( hAPP( hAPP( 'c_Lambda_Olift', 'v_ta____' ),
% 168.83/169.38 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_List_Olist_ONil'(
% 168.83/169.38 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ] )
% 168.83/169.38 , clause( 321611, [ ~( hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'(
% 168.83/169.38 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( 'c_HOL_Ozero__class_Ozero'(
% 168.83/169.38 'tc_nat' ) ), 'c_List_Olist_OCons'( hAPP( hAPP( 'c_Lambda_Olift',
% 168.83/169.38 'v_ta____' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 168.83/169.38 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 168.83/169.38 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ) ] )
% 168.83/169.38 , clause( 321612, [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 168.83/169.38 'class_Orderings_Opreorder'( Y ) ) ] )
% 168.83/169.38 , clause( 321613, [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 168.83/169.38 'class_Orderings_Oorder'( Y ) ) ] )
% 168.83/169.38 , clause( 321614, [
% 168.83/169.38 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' ) ]
% 168.83/169.38 )
% 168.83/169.38 , clause( 321615, [
% 168.83/169.38 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat' ) ]
% 168.83/169.38 )
% 168.83/169.38 , clause( 321616, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 168.83/169.38 'tc_nat' ) ] )
% 168.83/169.38 , clause( 321617, [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 168.83/169.38 'tc_nat' ) ] )
% 168.83/169.38 , clause( 321618, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 168.83/169.38 'tc_nat' ) ] )
% 168.83/169.38 , clause( 321619, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat'
% 168.83/169.38 ) ] )
% 168.83/169.38 , clause( 321620, [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat'
% 168.83/169.38 ) ] )
% 168.83/169.38 , clause( 321621, [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' )
% 168.83/169.38 ] )
% 168.83/169.38 , clause( 321622, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' )
% 168.83/169.38 ] )
% 168.83/169.38 , clause( 321623, [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ]
% 168.83/169.38 )
% 168.83/169.38 , clause( 321624, [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ]
% 168.83/169.38 )
% 168.83/169.38 , clause( 321625, [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ]
% 168.83/169.38 )
% 168.83/169.38 , clause( 321626, [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ] )
% 168.83/169.38 , clause( 321627, [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ] )
% 168.83/169.38 , clause( 321628, [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ] )
% 168.83/169.38 , clause( 321629, [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ] )
% 168.83/169.38 , clause( 321630, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ] )
% 168.83/169.38 , clause( 321631, [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ] )
% 168.83/169.38 , clause( 321632, [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ] )
% 168.83/169.38 , clause( 321633, [ 'class_Orderings_Opreorder'( 'tc_nat' ) ] )
% 168.83/169.38 , clause( 321634, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 168.83/169.38 , clause( 321635, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 168.83/169.38 , clause( 321636, [ 'class_Power_Opower'( 'tc_nat' ) ] )
% 168.83/169.38 , clause( 321637, [ 'class_Int_Onumber'( 'tc_nat' ) ] )
% 168.83/169.38 , clause( 321638, [ 'class_Orderings_Opreorder'( 'tc_bool' ) ] )
% 168.83/169.38 , clause( 321639, [ 'class_Orderings_Oorder'( 'tc_bool' ) ] )
% 168.83/169.38 , clause( 321640, [
% 168.83/169.38 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_Int_Oint'
% 168.83/169.38 ) ] )
% 168.83/169.38 , clause( 321641, [
% 168.83/169.38 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 168.83/169.38 'tc_Int_Oint' ) ] )
% 168.83/169.38 , clause( 321642, [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 168.83/169.38 'tc_Int_Oint' ) ] )
% 168.83/169.38 , clause( 321643, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 168.83/169.38 'tc_Int_Oint' ) ] )
% 168.83/169.38 , clause( 321644, [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 168.83/169.38 'tc_Int_Oint' ) ] )
% 168.83/169.38 , clause( 321645, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 168.83/169.38 'tc_Int_Oint' ) ] )
% 168.83/169.38 , clause( 321646, [ 'class_OrderedGroup_Opordered__ab__group__add'(
% 168.83/169.38 'tc_Int_Oint' ) ] )
% 168.83/169.38 , clause( 321647, [ 'class_OrderedGroup_Olordered__ab__group__add'(
% 168.83/169.38 'tc_Int_Oint' ) ] )
% 168.83/169.38 , clause( 321648, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 168.83/169.38 'tc_Int_Oint' ) ] )
% 168.83/169.38 , clause( 321649, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 168.83/169.38 'tc_Int_Oint' ) ] )
% 168.83/169.38 , clause( 321650, [ 'class_Ring__and__Field_Oordered__semidom'(
% 168.83/169.38 'tc_Int_Oint' ) ] )
% 168.83/169.38 , clause( 321651, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 168.93/169.39 'tc_Int_Oint' ) ] )
% 168.93/169.39 , clause( 321652, [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint'
% 168.93/169.39 ) ] )
% 168.93/169.39 , clause( 321653, [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint'
% 168.93/169.39 ) ] )
% 168.93/169.39 , clause( 321654, [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint'
% 168.93/169.39 ) ] )
% 168.93/169.39 , clause( 321655, [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint'
% 168.93/169.39 ) ] )
% 168.93/169.39 , clause( 321656, [ 'class_OrderedGroup_Osemigroup__add'( 'tc_Int_Oint' ) ]
% 168.93/169.39 )
% 168.93/169.39 , clause( 321657, [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' )
% 168.93/169.39 ] )
% 168.93/169.39 , clause( 321658, [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' )
% 168.93/169.39 ] )
% 168.93/169.39 , clause( 321659, [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ]
% 168.93/169.39 )
% 168.93/169.39 , clause( 321660, [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ]
% 168.93/169.39 )
% 168.93/169.39 , clause( 321661, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ]
% 168.93/169.39 )
% 168.93/169.39 , clause( 321662, [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ] )
% 168.93/169.39 , clause( 321663, [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ] )
% 168.93/169.39 , clause( 321664, [ 'class_Ring__and__Field_Oring__1'( 'tc_Int_Oint' ) ] )
% 168.93/169.39 , clause( 321665, [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ] )
% 168.93/169.39 , clause( 321666, [ 'class_Nat_Osemiring__char__0'( 'tc_Int_Oint' ) ] )
% 168.93/169.39 , clause( 321667, [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ] )
% 168.93/169.39 , clause( 321668, [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ] )
% 168.93/169.39 , clause( 321669, [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ] )
% 168.93/169.39 , clause( 321670, [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ] )
% 168.93/169.39 , clause( 321671, [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ] )
% 168.93/169.39 , clause( 321672, [ 'class_Power_Opower'( 'tc_Int_Oint' ) ] )
% 168.93/169.39 , clause( 321673, [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ] )
% 168.93/169.39 , clause( 321674, [ 'c_fequal'( X, X, Y ) ] )
% 168.93/169.39 , clause( 321675, [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ] )
% 168.93/169.39 ] ).
% 168.93/169.39
% 168.93/169.39
% 168.93/169.39
% 168.93/169.39 subsumption(
% 168.93/169.39 clause( 513, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'(
% 168.93/169.39 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB',
% 168.93/169.39 'tc_Lambda_OdB' ) ) ), ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', Y,
% 168.93/169.39 'tc_Lambda_OdB' ) ) ] )
% 168.93/169.39 , clause( 321579, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'(
% 168.93/169.39 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB',
% 168.93/169.39 'tc_Lambda_OdB' ) ) ), ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', Y,
% 168.93/169.39 'tc_Lambda_OdB' ) ) ] )
% 168.93/169.39 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 168.93/169.39 ), ==>( 1, 1 )] ) ).
% 168.93/169.39
% 168.93/169.39
% 168.93/169.39 subsumption(
% 168.93/169.39 clause( 530, [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T, Z ),
% 168.93/169.39 Y ) ] )
% 168.93/169.39 , clause( 321596, [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T,
% 168.93/169.39 Z ), Y ) ] )
% 168.93/169.39 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 168.93/169.39 permutation( 0, [ ==>( 0, 0 )] ) ).
% 168.93/169.39
% 168.93/169.39
% 168.93/169.39 subsumption(
% 168.93/169.39 clause( 534, [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U ), W
% 168.93/169.39 , U ), 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U ) ) ] )
% 168.93/169.39 , clause( 321601, [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U
% 168.93/169.39 ), W, U ), 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U ) ) ] )
% 168.93/169.39 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 168.93/169.39 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 168.93/169.39
% 168.93/169.39
% 168.93/169.39 subsumption(
% 168.93/169.39 clause( 539, [ 'c_List_Olistsp'( 'c_InductTermi_OIT', 'c_List_Olist_OCons'(
% 168.93/169.39 hAPP( hAPP( 'c_Lambda_Olift', 'v_ta____' ), 'c_HOL_Ozero__class_Ozero'(
% 168.93/169.39 'tc_nat' ) ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 168.93/169.39 'tc_Lambda_OdB' ) ] )
% 168.93/169.39 , clause( 321610, [ 'c_List_Olistsp'( 'c_InductTermi_OIT',
% 168.93/169.39 'c_List_Olist_OCons'( hAPP( hAPP( 'c_Lambda_Olift', 'v_ta____' ),
% 168.93/169.39 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_List_Olist_ONil'(
% 168.93/169.39 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ] )
% 168.93/169.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 168.93/169.39
% 168.93/169.39
% 168.93/169.39 subsumption(
% 168.93/169.39 clause( 540, [ ~( hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'(
% 168.93/169.39 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( 'c_HOL_Ozero__class_Ozero'(
% 168.93/169.39 'tc_nat' ) ), 'c_List_Olist_OCons'( hAPP( hAPP( 'c_Lambda_Olift',
% 168.93/169.39 'v_ta____' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 168.93/169.39 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 168.93/169.39 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ) ] )
% 168.93/169.39 , clause( 321611, [ ~( hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'(
% 168.93/169.39 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( 'c_HOL_Ozero__class_Ozero'(
% 168.93/169.39 'tc_nat' ) ), 'c_List_Olist_OCons'( hAPP( hAPP( 'c_Lambda_Olift',
% 168.93/169.39 'v_ta____' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 168.93/169.39 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 168.93/169.39 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ) ] )
% 168.93/169.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 168.93/169.39
% 168.93/169.39
% 168.93/169.39 eqswap(
% 168.93/169.39 clause( 324939, [ =( 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U )
% 168.93/169.39 , 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U ), W, U ) ) ] )
% 168.93/169.39 , clause( 534, [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U )
% 168.93/169.39 , W, U ), 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U ) ) ] )
% 168.93/169.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 168.93/169.39 :=( U, U ), :=( W, W )] )).
% 168.93/169.39
% 168.93/169.39
% 168.93/169.39 eqswap(
% 168.93/169.39 clause( 324940, [ =( Y, 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T
% 168.93/169.39 , Z ) ) ] )
% 168.93/169.39 , clause( 530, [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z ), T, Z )
% 168.93/169.39 , Y ) ] )
% 168.93/169.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 168.93/169.39 ).
% 168.93/169.39
% 168.93/169.39
% 168.93/169.39 paramod(
% 168.93/169.39 clause( 324941, [ =( hAPP( hAPP( X, Y ), Z ), 'c_List_Ofoldl'( X, Y,
% 168.93/169.39 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( T ), T ), U, T ) ) ] )
% 168.93/169.39 , clause( 324939, [ =( 'c_List_Ofoldl'( X, hAPP( hAPP( X, Y ), Z ), T, W, U
% 168.93/169.39 ), 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z, T, U ), W, U ) ) ] )
% 168.93/169.39 , 0, clause( 324940, [ =( Y, 'c_List_Ofoldl'( X, Y, 'c_List_Olist_ONil'( Z
% 168.93/169.39 ), T, Z ) ) ] )
% 168.93/169.39 , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T,
% 168.93/169.39 'c_List_Olist_ONil'( T ) ), :=( U, T ), :=( W, U )] ), substitution( 1, [
% 168.93/169.39 :=( X, X ), :=( Y, hAPP( hAPP( X, Y ), Z ) ), :=( Z, T ), :=( T, U )] )
% 168.93/169.39 ).
% 168.93/169.39
% 168.93/169.39
% 168.93/169.39 eqswap(
% 168.93/169.39 clause( 324942, [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z,
% 168.93/169.39 'c_List_Olist_ONil'( T ), T ), U, T ), hAPP( hAPP( X, Y ), Z ) ) ] )
% 168.93/169.39 , clause( 324941, [ =( hAPP( hAPP( X, Y ), Z ), 'c_List_Ofoldl'( X, Y,
% 168.93/169.39 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( T ), T ), U, T ) ) ] )
% 168.93/169.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 168.93/169.39 :=( U, U )] )).
% 168.93/169.39
% 168.93/169.39
% 168.93/169.39 subsumption(
% 168.93/169.39 clause( 312590, [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z,
% 168.93/169.39 'c_List_Olist_ONil'( T ), T ), U, T ), hAPP( hAPP( X, Y ), Z ) ) ] )
% 168.93/169.39 , clause( 324942, [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z,
% 168.93/169.39 'c_List_Olist_ONil'( T ), T ), U, T ), hAPP( hAPP( X, Y ), Z ) ) ] )
% 168.93/169.39 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 168.93/169.39 , U )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 168.93/169.39
% 168.93/169.39
% 168.93/169.39 resolution(
% 168.93/169.39 clause( 324944, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'(
% 168.93/169.39 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ), 'c_List_Olist_OCons'( hAPP(
% 168.93/169.39 hAPP( 'c_Lambda_Olift', 'v_ta____' ), 'c_HOL_Ozero__class_Ozero'(
% 168.93/169.39 'tc_nat' ) ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 168.93/169.39 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ] )
% 168.93/169.39 , clause( 513, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'(
% 168.93/169.39 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ), Y, 'tc_Lambda_OdB',
% 168.93/169.39 'tc_Lambda_OdB' ) ) ), ~( 'c_List_Olistsp'( 'c_InductTermi_OIT', Y,
% 168.93/169.39 'tc_Lambda_OdB' ) ) ] )
% 168.93/169.39 , 1, clause( 539, [ 'c_List_Olistsp'( 'c_InductTermi_OIT',
% 168.93/169.39 'c_List_Olist_OCons'( hAPP( hAPP( 'c_Lambda_Olift', 'v_ta____' ),
% 168.93/169.39 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_List_Olist_ONil'(
% 168.93/169.39 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) ] )
% 168.93/169.39 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'c_List_Olist_OCons'( hAPP( hAPP(
% 168.93/169.39 'c_Lambda_Olift', 'v_ta____' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 168.93/169.39 , 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ) )] ),
% 168.93/169.39 substitution( 1, [] )).
% 168.93/169.39
% 168.93/169.39
% 168.93/169.39 paramod(
% 168.93/169.39 clause( 324945, [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP(
% 168.93/169.39 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ) ), hAPP( hAPP(
% 168.93/169.39 'c_Lambda_Olift', 'v_ta____' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 168.93/169.39 ) ) ) ] )
% 168.93/169.39 , clause( 312590, [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z,
% 168.93/169.39 'c_List_Olist_ONil'( T ), T ), U, T ), hAPP( hAPP( X, Y ), Z ) ) ] )
% 168.93/169.39 , 0, clause( 324944, [ hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'(
% 168.94/169.40 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ), 'c_List_Olist_OCons'( hAPP(
% 168.94/169.40 hAPP( 'c_Lambda_Olift', 'v_ta____' ), 'c_HOL_Ozero__class_Ozero'(
% 168.94/169.40 'tc_nat' ) ), 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 168.94/169.40 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ] )
% 168.94/169.40 , 0, 3, substitution( 0, [ :=( X, 'c_Lambda_OdB_OApp' ), :=( Y,
% 168.94/169.40 'c_Lambda_OdB_OVar'( X ) ), :=( Z, hAPP( hAPP( 'c_Lambda_Olift',
% 168.94/169.40 'v_ta____' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), :=( T,
% 168.94/169.40 'tc_Lambda_OdB' ), :=( U, 'tc_Lambda_OdB' )] ), substitution( 1, [ :=( X
% 168.94/169.40 , X )] )).
% 168.94/169.40
% 168.94/169.40
% 168.94/169.40 subsumption(
% 168.94/169.40 clause( 319466, [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP(
% 168.94/169.40 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ) ), hAPP( hAPP(
% 168.94/169.40 'c_Lambda_Olift', 'v_ta____' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 168.94/169.40 ) ) ) ] )
% 168.94/169.40 , clause( 324945, [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP(
% 168.94/169.40 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ) ), hAPP( hAPP(
% 168.94/169.40 'c_Lambda_Olift', 'v_ta____' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 168.94/169.40 ) ) ) ] )
% 168.94/169.40 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 168.94/169.40
% 168.94/169.40
% 168.94/169.40 paramod(
% 168.94/169.40 clause( 324947, [ ~( hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP(
% 168.94/169.40 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( 'c_HOL_Ozero__class_Ozero'(
% 168.94/169.40 'tc_nat' ) ) ), hAPP( hAPP( 'c_Lambda_Olift', 'v_ta____' ),
% 168.94/169.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ) ] )
% 168.94/169.40 , clause( 312590, [ =( 'c_List_Ofoldl'( X, Y, 'c_List_Olist_OCons'( Z,
% 168.94/169.40 'c_List_Olist_ONil'( T ), T ), U, T ), hAPP( hAPP( X, Y ), Z ) ) ] )
% 168.94/169.40 , 0, clause( 540, [ ~( hBOOL( hAPP( 'c_InductTermi_OIT', 'c_List_Ofoldl'(
% 168.94/169.40 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( 'c_HOL_Ozero__class_Ozero'(
% 168.94/169.40 'tc_nat' ) ), 'c_List_Olist_OCons'( hAPP( hAPP( 'c_Lambda_Olift',
% 168.94/169.40 'v_ta____' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 168.94/169.40 'c_List_Olist_ONil'( 'tc_Lambda_OdB' ), 'tc_Lambda_OdB' ),
% 168.94/169.40 'tc_Lambda_OdB', 'tc_Lambda_OdB' ) ) ) ) ] )
% 168.94/169.40 , 0, 4, substitution( 0, [ :=( X, 'c_Lambda_OdB_OApp' ), :=( Y,
% 168.94/169.40 'c_Lambda_OdB_OVar'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), :=( Z,
% 168.94/169.40 hAPP( hAPP( 'c_Lambda_Olift', 'v_ta____' ), 'c_HOL_Ozero__class_Ozero'(
% 168.94/169.40 'tc_nat' ) ) ), :=( T, 'tc_Lambda_OdB' ), :=( U, 'tc_Lambda_OdB' )] ),
% 168.94/169.40 substitution( 1, [] )).
% 168.94/169.40
% 168.94/169.40
% 168.94/169.40 resolution(
% 168.94/169.40 clause( 324948, [] )
% 168.94/169.40 , clause( 324947, [ ~( hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP(
% 168.94/169.40 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( 'c_HOL_Ozero__class_Ozero'(
% 168.94/169.40 'tc_nat' ) ) ), hAPP( hAPP( 'c_Lambda_Olift', 'v_ta____' ),
% 168.94/169.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ) ] )
% 168.94/169.40 , 0, clause( 319466, [ hBOOL( hAPP( 'c_InductTermi_OIT', hAPP( hAPP(
% 168.94/169.40 'c_Lambda_OdB_OApp', 'c_Lambda_OdB_OVar'( X ) ), hAPP( hAPP(
% 168.94/169.40 'c_Lambda_Olift', 'v_ta____' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 168.94/169.40 ) ) ) ] )
% 168.94/169.40 , 0, substitution( 0, [] ), substitution( 1, [ :=( X,
% 168.94/169.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )] )).
% 168.94/169.40
% 168.94/169.40
% 168.94/169.40 subsumption(
% 168.94/169.40 clause( 320951, [] )
% 168.94/169.40 , clause( 324948, [] )
% 168.94/169.40 , substitution( 0, [] ), permutation( 0, [] ) ).
% 168.94/169.40
% 168.94/169.40
% 168.94/169.40 end.
% 168.94/169.40
% 168.94/169.40 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 168.94/169.40
% 168.94/169.40 Memory use:
% 168.94/169.40
% 168.94/169.40 space for terms: 8496085
% 168.94/169.40 space for clauses: 14217643
% 168.94/169.40
% 168.94/169.40
% 168.94/169.40 clauses generated: 1657364
% 168.94/169.40 clauses kept: 320952
% 168.94/169.40 clauses selected: 2269
% 168.94/169.40 clauses deleted: 16960
% 168.94/169.40 clauses inuse deleted: 64
% 168.94/169.40
% 168.94/169.40 subsentry: 19820090
% 168.94/169.40 literals s-matched: 10977046
% 168.94/169.40 literals matched: 10481890
% 168.94/169.40 full subsumption: 4936145
% 168.94/169.40
% 168.94/169.40 checksum: 445912103
% 168.94/169.40
% 168.94/169.40
% 168.94/169.40 Bliksem ended
%------------------------------------------------------------------------------