TSTP Solution File: SWV881-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV881-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:29:00 EDT 2022
% Result : Timeout 290.94s 291.38s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV881-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Wed Jun 15 22:09:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.89/1.23 *** allocated 10000 integers for termspace/termends
% 0.89/1.23 *** allocated 10000 integers for clauses
% 0.89/1.23 *** allocated 10000 integers for justifications
% 0.89/1.23 *** allocated 15000 integers for termspace/termends
% 0.89/1.23 Bliksem 1.12
% 0.89/1.23
% 0.89/1.23
% 0.89/1.23 Automatic Strategy Selection
% 0.89/1.23
% 0.89/1.23 Clauses:
% 0.89/1.23 [
% 0.89/1.23 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.89/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.89/1.23 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.89/1.23 ) ) ],
% 0.89/1.23 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.89/1.23 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.23 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.89/1.23 ) ) ],
% 0.89/1.23 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.89/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.89/1.23 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.89/1.23 ) ) ],
% 0.89/1.23 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.89/1.23 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.89/1.23 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.89/1.23 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.89/1.23 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.89/1.23 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.89/1.23 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.89/1.23 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.23 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.89/1.23 ) ) ],
% 0.89/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.23 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.23 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.89/1.23 ) ) ],
% 0.89/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.23 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.89/1.23 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.89/1.23 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.89/1.23 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.89/1.23 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.23 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.23 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.89/1.23 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.23 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.23 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.23 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.23 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.89/1.23 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.89/1.23 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.89/1.23 ,
% 0.89/1.23 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.89/1.23 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ),
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.23 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.89/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.89/1.23 ,
% 0.89/1.23 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.23 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.23 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.23 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.23 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.23 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.23 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.89/1.23 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.89/1.23 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.23 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.89/1.23 [ =( 'c_Suc'( X ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.89/1.23 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.89/1.23 [ =( 'c_Suc'( X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'(
% 0.89/1.23 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.89/1.23 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.23 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), 'c_Suc'(
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.89/1.23 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.23 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.89/1.23 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.23 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.89/1.23 [ 'c_Fun_Oinj__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.89/1.23 'tc_bool' ) ), T, U ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ) ],
% 0.89/1.23 [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.89/1.23 , 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Ovimage'( X
% 0.89/1.23 , Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) )
% 0.89/1.23 ],
% 0.89/1.23 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.89/1.23 Y, 'tc_nat' ) ), 'tc_nat' ) ],
% 0.89/1.23 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.89/1.23 X, 'tc_nat' ) ), 'tc_nat' ) ],
% 0.89/1.23 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.89/1.23 Y, 'tc_nat' ) ), 'tc_nat' ) ],
% 0.89/1.23 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.89/1.23 'c_Finite__Set_Osetsum'( 'c_COMBK'( 'c_HOL_Ozero__class_Ozero'( X ), X, Y
% 0.89/1.23 ), Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.23 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.23 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.89/1.23 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.89/1.23 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.89/1.23 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.23 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.89/1.23 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.89/1.23 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.89/1.23 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.89/1.23 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) )
% 0.89/1.23 ],
% 0.89/1.23 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.89/1.23 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 0.89/1.23 ],
% 0.89/1.23 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.89/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ),
% 0.89/1.23 Y, 'tc_nat' ) ) ],
% 0.89/1.23 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.89/1.23 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) )
% 0.89/1.23 ],
% 0.89/1.23 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.89/1.23 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 0.89/1.23 ],
% 0.89/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.23 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.89/1.23 X ) ) ],
% 0.89/1.23 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.89/1.23 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.89/1.23 X ) ) ],
% 0.89/1.23 [ =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.89/1.23 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ],
% 0.89/1.23 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.89/1.23 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ) ) ), ~(
% 0.89/1.23 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.23 X, T, 'tc_nat' ) ],
% 0.89/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.23 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.89/1.23 X ) ) ],
% 0.89/1.23 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 0.89/1.23 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.89/1.23 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.89/1.23 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.89/1.23 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.23 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), X ) ), =( Y,
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.23 [ ~( =( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y,
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.23 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.89/1.23 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.89/1.23 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.23 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.23 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.89/1.23 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.89/1.23 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.23 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.23 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.23 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.23 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.89/1.23 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.89/1.23 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.23 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_Suc'(
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.89/1.23 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 0.89/1.23 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( X
% 0.89/1.23 , U ) ) ],
% 0.89/1.23 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 0.89/1.23 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( X
% 0.89/1.23 , U ) ) ],
% 0.89/1.23 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 0.89/1.23 'c_OrderedGroup_Oab__semigroup__mult'( X, T ) ) ],
% 0.89/1.23 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.89/1.23 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 0.89/1.23 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.23 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.23 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.23 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.23 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.23 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.23 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.89/1.23 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'(
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.89/1.23 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.89/1.23 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X,
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.23 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.89/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.23 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.89/1.23 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.89/1.23 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.23 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.23 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.89/1.23 'c_Finite__Set_Osetsum'( Y, Z, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.89/1.23 , 'c_Finite__Set_Ofinite'( Z, T ) ],
% 0.89/1.23 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.89/1.23 'c_Finite__Set_Osetsum'( Y, Z, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.89/1.23 , 'c_Finite__Set_Ofinite'( Z, T ) ],
% 0.89/1.23 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 0.89/1.23 ,
% 0.89/1.23 [ =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.89/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.23 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Y, 'tc_nat' ) ) ), =( X
% 0.89/1.23 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.23 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.89/1.23 'c_Finite__Set_Osetsum'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.23 'tc_bool' ) ), Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.23 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.89/1.23 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.89/1.23 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.89/1.23 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ) ]
% 0.89/1.23 ,
% 0.89/1.23 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.89/1.23 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.89/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.89/1.23 , X ) ) ],
% 0.89/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.23 , Y, X ) ) ],
% 0.89/1.23 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.23 , Y, X ) ) ],
% 0.89/1.23 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.23 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.23 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.89/1.23 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.23 X ), X ) ) ],
% 0.89/1.23 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.23 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.89/1.23 ), =( Z, Y ) ],
% 0.89/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.89/1.23 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.23 ) ],
% 0.89/1.23 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.23 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.89/1.23 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 0.89/1.23 'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 0.89/1.23 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.23 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.89/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.23 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.89/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.23 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.89/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.89/1.23 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.89/1.23 ) ],
% 0.89/1.23 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oone__class_Oone'(
% 0.89/1.23 'tc_nat' ), 'tc_nat' ) ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.89/1.23 [ =( X, 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.23 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 0.89/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.89/1.23 'tc_nat' ) ) ],
% 0.89/1.23 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.23 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.23 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.23 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.89/1.23 ), 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ), 'tc_nat' ), ~(
% 0.89/1.23 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) ), ~(
% 0.89/1.23 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.89/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.23 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.23 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.89/1.23 ) ) ],
% 0.89/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.89/1.23 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.89/1.23 ) ) ],
% 0.89/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.23 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.23 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.89/1.23 ) ) ],
% 0.89/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.89/1.23 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.89/1.23 ) ) ],
% 0.89/1.23 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.89/1.23 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.23 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y, X
% 0.89/1.23 , 'tc_nat' ), 'tc_nat' ) ) ],
% 0.89/1.23 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.89/1.23 ), 'tc_nat' ) ) ],
% 0.89/1.23 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.89/1.23 ), 'tc_nat' ) ) ],
% 0.89/1.23 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.89/1.23 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.23 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.89/1.23 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.89/1.23 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.89/1.23 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.89/1.23 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.23 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.23 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.89/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.89/1.23 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.89/1.23 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.23 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.89/1.23 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.23 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.89/1.23 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.89/1.23 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.23 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.89/1.23 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 0.89/1.23 ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.89/1.23 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.89/1.23 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.89/1.23 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'(
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.23 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.89/1.23 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X,
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.89/1.23 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.89/1.23 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Suc'( Y ), X ),
% 0.89/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.89/1.23 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.89/1.23 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.89/1.23 'c_Suc'( X ), 'tc_nat' ) ],
% 0.89/1.23 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.89/1.23 'c_Suc'( X ), 'tc_nat' ) ],
% 0.89/1.23 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.89/1.23 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.23 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.23 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.23 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.23 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.89/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.23 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.23 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.24 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 0.89/1.24 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) ), =( X, Z ) ],
% 0.89/1.24 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 0.89/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.89/1.24 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.89/1.24 X ) ) ), =( Z, T ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.89/1.24 X ) ) ), =( Z, T ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.89/1.24 X ) ) ), =( Y, T ) ],
% 0.89/1.24 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.24 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.89/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.89/1.24 X ), X ) ) ],
% 0.89/1.24 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.24 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.89/1.24 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.89/1.24 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.89/1.24 , X ), X ) ],
% 0.89/1.24 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.89/1.24 , X ), X ) ],
% 0.89/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.89/1.24 ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.89/1.24 ],
% 0.89/1.24 [ =( X, 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.24 'tc_nat' ), 'tc_nat' ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.89/1.24 , X, 'tc_nat' ), X ) ],
% 0.89/1.24 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.89/1.24 ), 'tc_nat' ), X ) ],
% 0.89/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.89/1.24 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.24 ), X ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.89/1.24 ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.89/1.24 ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.89/1.24 ],
% 0.89/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.89/1.24 ],
% 0.89/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.89/1.24 ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.24 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.89/1.24 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.89/1.24 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.89/1.24 'tc_nat' ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.24 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.89/1.24 ,
% 0.89/1.24 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.89/1.24 ,
% 0.89/1.24 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.89/1.24 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), =( Y, Z ), ~( 'c_Fun_Oinj__on'( X, T,
% 0.89/1.24 U, W ) ) ],
% 0.89/1.24 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.89/1.24 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ),
% 0.89/1.24 =( Y, Z ) ],
% 0.89/1.24 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.89/1.24 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ),
% 0.89/1.24 =( Y, Z ) ],
% 0.89/1.24 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 0.89/1.24 ) ), =( Y, Z ), ~( hBOOL( 'c_in'( Z, T, U ) ) ), ~( hBOOL( 'c_in'( Y, T
% 0.89/1.24 , U ) ) ) ],
% 0.89/1.24 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.89/1.24 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.89/1.24 , T ) ) ) ],
% 0.89/1.24 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.89/1.24 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.89/1.24 , T ) ) ) ],
% 0.89/1.24 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL(
% 0.89/1.24 'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 0.89/1.24 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL(
% 0.89/1.24 'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 0.89/1.24 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL(
% 0.89/1.24 'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 0.89/1.24 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y,
% 0.89/1.24 'c_Set_Ovimage'( X, Z, U, T ), U ) ) ) ],
% 0.89/1.24 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y,
% 0.89/1.24 'c_Set_Ovimage'( X, Z, U, T ), U ) ) ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.89/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.89/1.24 ,
% 0.89/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.89/1.24 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.24 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.24 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.24 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.89/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.89/1.24 ,
% 0.89/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.24 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.24 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.24 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.89/1.24 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.24 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.89/1.24 , X ) ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.24 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.89/1.24 , X ) ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.24 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.89/1.24 ) ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.24 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.89/1.24 ) ) ],
% 0.89/1.24 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.89/1.24 Y, 'c_Inductive_Ocomplete__lattice__class_Ogfp'( Z, X ), X ), ~(
% 0.89/1.24 'c_lessequals'( Y, hAPP( Z, Y ), X ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.89/1.24 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.89/1.24 ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.89/1.24 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.89/1.24 ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.24 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.89/1.24 X ), X ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.24 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.89/1.24 ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.24 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.89/1.24 X ), X ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.24 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.89/1.24 ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.24 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.89/1.24 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.89/1.24 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.24 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.89/1.24 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.89/1.24 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.24 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.89/1.24 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.89/1.24 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.24 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.24 , X ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.24 , X ) ) ],
% 0.89/1.24 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.24 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.89/1.24 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.89/1.24 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.24 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.24 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.89/1.24 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.89/1.24 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.24 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.89/1.24 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 0.89/1.24 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.89/1.24 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.24 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.89/1.24 'tc_nat' ) ) ],
% 0.89/1.24 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.89/1.24 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.24 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.89/1.24 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.24 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.89/1.24 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.24 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.24 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.24 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.24 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.24 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.89/1.24 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.89/1.24 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.89/1.24 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.89/1.24 ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.89/1.24 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.24 Y, T, X ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.24 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.24 Y, T, X ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.24 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.89/1.24 X ), X ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.24 Z, T, X ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.24 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.24 Z, T, X ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.24 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.89/1.24 X ), X ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.89/1.24 ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ),
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.89/1.24 ), 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.24 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~( hBOOL( hAPP( X,
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.89/1.24 , 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), 'c_Suc'(
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( 'c_Set_Ovimage'( Y,
% 0.89/1.24 X, T, U ), Z ) ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~( hBOOL( hAPP( Y,
% 0.89/1.24 hAPP( X, U ) ) ) ) ],
% 0.89/1.24 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.89/1.24 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.89/1.24 'tc_nat' ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.24 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.89/1.24 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.89/1.24 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.89/1.24 'tc_nat' ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ominus__class_Ominus'( Y, X,
% 0.89/1.24 'tc_nat' ), 'tc_nat' ), Y ), 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' )
% 0.89/1.24 ],
% 0.89/1.24 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.89/1.24 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.24 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.24 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.24 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.24 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.89/1.24 'c_Finite__Set_Osetsum'( Y, 'c_Set_Oinsert'( Z, T, U ), U, X ),
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( hAPP( Y, Z ), 'c_Finite__Set_Osetsum'( Y, T,
% 0.89/1.24 U, X ), X ) ), hBOOL( 'c_in'( Z, T, U ) ), ~( 'c_Finite__Set_Ofinite'( T
% 0.89/1.24 , U ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.24 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool'
% 0.89/1.24 ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ), hBOOL( 'c_in'( Y, T, Z ) ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.24 , 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.24 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.24 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.89/1.24 ) ) ), hBOOL( 'c_in'( Y, Z, T ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.24 , 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.24 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.24 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.89/1.24 ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 0.89/1.24 ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.89/1.24 'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'(
% 0.89/1.24 U, 'tc_bool' ) ), U, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.24 'c_Finite__Set_Osetsum'( Y, Z, U, X ), 'c_Finite__Set_Osetsum'( Y, T, U,
% 0.89/1.24 X ), X ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 0.89/1.24 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.24 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.89/1.24 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.24 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.24 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.89/1.24 ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 0.89/1.24 ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.89/1.24 'c_Finite__Set_Ocard'( X, Y ), 'tc_nat' ), ~( 'c_Finite__Set_Ofinite'( X
% 0.89/1.24 , Y ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.24 ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( 'c_Finite__Set_Ocard'( X, Z ),
% 0.89/1.24 'c_Finite__Set_Ocard'( Y, Z ), 'tc_nat' ) ), ~( 'c_lessequals'( X, Y,
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.24 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.24 , X ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.24 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.89/1.24 ,
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.89/1.24 hBOOL( 'c_in'( X, T, Z ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'(
% 0.89/1.24 Z, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL(
% 0.89/1.24 'c_in'( T, Y, Z ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'(
% 0.89/1.24 T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.24 , 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ hBOOL( 'c_in'( X, 'c_Inductive_Ocomplete__lattice__class_Ogfp'( Y,
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), ~( 'c_lessequals'( T, hAPP( Y, T ),
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.89/1.24 'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 0.89/1.24 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 0.89/1.24 'tc_bool' ) ), U ), 'tc_fun'( U, 'tc_bool' ) ), U, X ),
% 0.89/1.24 'c_Finite__Set_Osetsum'( Y, Z, U, X ) ), hBOOL( 'c_in'( T, Z, U ) ), ~(
% 0.89/1.24 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'(
% 0.89/1.24 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1'( Z, X, T
% 0.89/1.24 ), 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2'( Z,
% 0.89/1.24 X, T ), T ) ) ), ~( hBOOL( hAPP( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.24 'tc_fun'( T, 'tc_bool' ) ) ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T,
% 0.89/1.24 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 0.89/1.24 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.89/1.24 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.89/1.24 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~( 'c_lessequals'( Y,
% 0.89/1.24 Z, 'tc_nat' ) ) ],
% 0.89/1.24 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.89/1.24 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Nat_Osemiring__1__class_Oof__nat'(
% 0.89/1.24 Y, X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.24 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.89/1.24 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.24 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.24 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.89/1.24 ) ) ), hBOOL( 'c_in'( Y, Z, T ) ) ],
% 0.89/1.24 [ ~( hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( Y,
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.89/1.24 T, 'tc_bool' ) ), T, U ), U ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 0.89/1.24 'c_Set_Oinsert'( Y, Z, T ), T, U ) ) ],
% 0.89/1.24 [ 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ), hBOOL( 'c_in'(
% 0.89/1.24 hAPP( X, Y ), 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Z,
% 0.89/1.24 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.24 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, U ), U ) ), ~(
% 0.89/1.24 'c_Fun_Oinj__on'( X, Z, T, U ) ) ],
% 0.89/1.24 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.89/1.24 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'(
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z
% 0.89/1.24 , 'tc_bool' ) ), Z ) ) ],
% 0.89/1.24 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.24 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), T ), ~(
% 0.89/1.24 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T
% 0.89/1.24 , 'tc_bool' ) ), T ) ) ],
% 0.89/1.24 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.89/1.24 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 0.89/1.24 Y, Z ) ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.24 'c_Finite__Set_Olinorder__class_OMax'( 'c_Set_Oinsert'( Y,
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.89/1.24 ],
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.89/1.24 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.24 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.24 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.89/1.24 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.89/1.24 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.24 'c_Finite__Set_Olinorder__class_OMin'( 'c_Set_Oinsert'( Y,
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.89/1.24 ],
% 0.89/1.24 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 'c_Set_Oinsert'(
% 0.89/1.24 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1'( Z, X, T
% 0.89/1.24 ), 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2'( Z,
% 0.89/1.24 X, T ), T ) ) ) ), ~( hBOOL( hAPP( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.24 'tc_fun'( T, 'tc_bool' ) ) ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T,
% 0.89/1.24 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 0.89/1.24 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z, X, Y, T ) ),
% 0.89/1.24 ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( Z, X, Y, T ), T ) ) ],
% 0.89/1.24 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ),
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ ~( 'c_lessequals'( X, X, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X,
% 0.89/1.24 'c_Suc'( X ), 'tc_nat' ) ],
% 0.89/1.24 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.89/1.24 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.89/1.24 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.89/1.24 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.89/1.24 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.89/1.24 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.89/1.24 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.89/1.24 [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( 'c_HOL_Ominus__class_Ominus'( Y
% 0.89/1.24 , Z, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.89/1.24 Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.89/1.24 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 0.89/1.24 , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.24 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.89/1.24 [ 'c_lessequals'( 'c_Set_Oimage'( X, 'c_Set_Ovimage'( X, Y, Z, T ), Z, T
% 0.89/1.24 ), Y, 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.89/1.24 [ =( 'c_Finite__Set_Ocard'( X, Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.89/1.24 ) ), 'c_Finite__Set_Ofinite'( X, Y ) ],
% 0.89/1.24 [ =( 'c_Finite__Set_Ocard'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 0.89/1.24 , 'tc_bool' ) ), X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.24 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.89/1.24 'tc_nat' ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ),
% 0.89/1.24 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.89/1.24 [ 'c_lessequals'( X, 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat' ),
% 0.89/1.24 ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.89/1.24 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.89/1.24 ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z
% 0.89/1.24 , 'tc_nat' ) ) ],
% 0.89/1.24 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_lessequals'( X, Y,
% 0.89/1.24 'tc_nat' ) ],
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X, Y,
% 0.89/1.24 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), Z,
% 0.89/1.24 'tc_nat' ), ~( 'c_lessequals'( X, 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 0.89/1.24 'tc_nat' ), 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_lessequals'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ),
% 0.89/1.24 'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat'
% 0.89/1.24 ), Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 0.89/1.24 'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Z,
% 0.89/1.24 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), Z,
% 0.89/1.24 'tc_nat' ), ~( 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.89/1.24 'tc_nat' ), 'tc_nat' ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.89/1.24 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.89/1.24 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.89/1.24 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 0.89/1.24 'c_lessequals'( Z, X, 'tc_nat' ) ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.89/1.24 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.24 [ =( 'c_Set_Ovimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ),
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL(
% 0.89/1.24 'c_in'( X, T, Y ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.24 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.24 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.89/1.24 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.24 ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.89/1.24 ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.24 ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.24 ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.89/1.24 ), Y ) ],
% 0.89/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.89/1.24 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.24 ) ), =( Y, Z ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.24 ) ), =( Y, Z ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.89/1.24 ), Y ) ],
% 0.89/1.24 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.89/1.24 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ), ~(
% 0.89/1.24 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.89/1.24 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ),
% 0.89/1.24 ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.89/1.24 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.89/1.24 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.89/1.24 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.89/1.24 'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.89/1.24 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.24 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.24 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.89/1.24 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.89/1.24 'tc_bool' ) ), Y, Z ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.89/1.24 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.89/1.24 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.89/1.24 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.89/1.24 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.89/1.24 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 0.89/1.24 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.89/1.24 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.89/1.24 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.89/1.24 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'(
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 0.89/1.24 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.24 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.89/1.24 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.89/1.24 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 0.89/1.24 ,
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.89/1.24 'c_Set_Oinsert'( U, Y, Z ), Z, T ) ) ],
% 0.89/1.24 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, 'tc_fun'( T, X ) ),
% 0.89/1.24 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'( T, X ) ) ) ],
% 0.89/1.24 [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'(
% 0.89/1.24 T, X ) ), 'c_lessequals'( Z, Y, 'tc_fun'( T, X ) ), ~( 'c_lessequals'( Y
% 0.89/1.24 , Z, 'tc_fun'( T, X ) ) ) ],
% 0.89/1.24 [ ~( 'class_HOL_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, X )
% 0.89/1.24 ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_fun'( T, X ) ) ) ],
% 0.89/1.24 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.24 , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), =( X, Y )
% 0.89/1.24 , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.89/1.24 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 0.89/1.24 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.89/1.24 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.89/1.24 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.89/1.24 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T ) ) ],
% 0.89/1.24 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.89/1.24 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.89/1.24 ,
% 0.89/1.24 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.89/1.24 [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), 'c_Set_Ovimage'( X, U,
% 0.89/1.24 Z, T ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( T
% 0.89/1.24 , 'tc_bool' ) ) ) ],
% 0.89/1.24 [ =( 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.89/1.24 , 'tc_bool' ) ), T, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X
% 0.89/1.24 , Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ),
% 0.89/1.24 ~( 'c_lessequals'( Z, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'(
% 0.89/1.24 Y, W, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( X, W, T, U ) ) ]
% 0.89/1.24 ,
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_Finite__Set_Ocard'( X, Y ),
% 0.89/1.24 'c_Finite__Set_Ocard'( Z, Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.24 X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 0.89/1.24 ],
% 0.89/1.24 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Finite__Set_Ocard'( X, Y ),
% 0.89/1.24 'tc_nat' ) ) ],
% 0.89/1.24 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.89/1.24 'c_Finite__Set_Ocard'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.89/1.24 'tc_bool' ) ), X ), 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 0.89/1.24 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.89/1.24 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.89/1.24 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 0.89/1.24 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ],
% 0.89/1.24 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.89/1.24 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.24 Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.89/1.24 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.89/1.24 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.89/1.24 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.89/1.24 'tc_nat' ) ],
% 0.89/1.24 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ),
% 0.89/1.24 'tc_nat' ) ],
% 0.89/1.24 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.89/1.24 'tc_nat' ) ],
% 0.89/1.24 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ), 'tc_nat' ), ~(
% 0.89/1.24 'c_lessequals'( Y, T, 'tc_nat' ) ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) )
% 0.89/1.24 ],
% 0.89/1.24 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 0.89/1.24 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 0.89/1.24 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 0.89/1.24 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ),
% 0.89/1.24 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' )
% 0.89/1.24 ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y
% 0.89/1.24 ), 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.89/1.24 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ), X ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.89/1.24 'tc_nat' ) ) ],
% 0.89/1.24 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =(
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ),
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.89/1.24 'tc_nat' ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 0.89/1.24 ) ],
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.24 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_nat' ),
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.89/1.24 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.89/1.24 ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ],
% 0.89/1.24 [ ~( hBOOL( hAPP( X, 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ) ), hBOOL(
% 0.89/1.24 hAPP( X, Z ) ) ],
% 0.89/1.24 [ ~( hBOOL( hAPP( X, 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ) ), hBOOL(
% 0.89/1.24 hAPP( X, Z ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.89/1.24 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.89/1.24 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.89/1.24 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.89/1.24 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.89/1.24 'tc_nat' ), Y, 'tc_nat' ), X ) ],
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.89/1.24 'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.89/1.24 'c_Finite__Set_Osetsum'( Y, Z, T, X ), 'c_HOL_Oplus__class_Oplus'( hAPP(
% 0.89/1.24 Y, U ), 'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 0.89/1.24 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.24 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, X ), X ) ), ~( hBOOL(
% 0.89/1.24 'c_in'( U, Z, T ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, T ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.89/1.24 , 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 0.89/1.24 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.89/1.24 [ ~( 'c_lessequals'( X, 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ),
% 0.89/1.24 'tc_nat' ) ), =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.24 Y, X, 'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 0.89/1.24 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( Y,
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat'
% 0.89/1.24 ), X, 'tc_nat' ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ominus__class_Ominus'( Y, X,
% 0.89/1.24 'tc_nat' ), 'tc_nat' ), Y ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.89/1.24 'tc_nat' ), Y, 'tc_nat' ), X ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ]
% 0.89/1.24 ,
% 0.89/1.24 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.89/1.24 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.89/1.24 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.89/1.24 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 0.89/1.24 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' )
% 0.89/1.24 , 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.89/1.24 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 0.89/1.24 ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.89/1.24 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.89/1.24 ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 0.89/1.24 , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.89/1.24 [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T ), T ),
% 0.89/1.24 'c_Finite__Set_Ocard'( Y, Z ) ), ~( 'c_Fun_Oinj__on'( X, Y, Z, T ) ) ]
% 0.89/1.24 ,
% 0.89/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.89/1.24 'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 0.89/1.24 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 0.89/1.24 'tc_bool' ) ), U ), 'tc_fun'( U, 'tc_bool' ) ), U, X ),
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( 'c_Finite__Set_Osetsum'( Y, Z, U, X ), hAPP(
% 0.89/1.24 Y, T ), X ) ), ~( hBOOL( 'c_in'( T, Z, U ) ) ), ~(
% 0.89/1.24 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 0.89/1.24 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 0.89/1.24 Y, 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( T,
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), 'tc_fun'(
% 0.89/1.24 U, 'tc_bool' ) ), U, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.24 'c_Finite__Set_Osetsum'( Y, Z, U, X ), hAPP( Y, T ), X ) ), ~( hBOOL(
% 0.89/1.24 'c_in'( T, Z, U ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_Finite__Set_Ocard'(
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.24 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( T,
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.89/1.24 Z, 'tc_bool' ) ), Z ), 'c_Finite__Set_Ocard'( X, Z ), 'tc_nat' ), ~(
% 0.89/1.24 hBOOL( 'c_in'( T, X, Z ) ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ), ~(
% 0.89/1.24 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_Finite__Set_Ocard'(
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.89/1.24 Z, 'tc_bool' ) ), Z ), 'c_Finite__Set_Ocard'( X, Z ), 'tc_nat' ), ~(
% 0.89/1.24 hBOOL( 'c_in'( Y, X, Z ) ) ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.89/1.24 [ =( 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.24 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), T ),
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( 'c_Finite__Set_Ocard'(
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), T ),
% 0.89/1.24 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ), hBOOL( 'c_in'( Y, Z,
% 0.89/1.24 T ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 'c_Finite__Set_Ofinite'( X, T
% 0.89/1.24 ) ) ],
% 0.89/1.24 [ 'v_wt'( 'c_Option_Othe'( 'c_Com_Obody'( X ), 'tc_Com_Ocom' ) ), ~(
% 0.89/1.24 hBOOL( 'c_in'( X, 'v_U', 'tc_Com_Opname' ) ) ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.89/1.24 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Z, X ), ~( hBOOL( 'c_in'(
% 0.89/1.24 Z, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.89/1.24 'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~( hBOOL( 'c_in'( Y,
% 0.89/1.24 Z, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 0.89/1.24 'c_Finite__Set_Olinorder__class_OMax'( Y, X ), Y, X ) ), =( Y,
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.89/1.24 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 0.89/1.24 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Y, X ) ), =( Y,
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.89/1.24 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ),
% 0.89/1.24 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), hBOOL( 'c_in'( X, Y
% 0.89/1.24 , Z ) ) ],
% 0.89/1.24 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( 'c_in'( X, Y, Z ) ), ~(
% 0.89/1.24 'c_OrderedGroup_Oab__semigroup__mult'( T, U ) ) ],
% 0.89/1.24 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, 'c_Set_Oinsert'( hAPP( Y, X ),
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), T, Z ),
% 0.89/1.24 T ) ) ],
% 0.89/1.24 [ =( hAPP( X, Y ), Z ), ~( hBOOL( 'c_in'( Y, 'c_Set_Ovimage'( X,
% 0.89/1.24 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.24 'tc_bool' ) ), T ), U, T ), U ) ) ) ],
% 0.89/1.24 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.89/1.24 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( hBOOL(
% 0.89/1.24 'c_in'( X, Y, Z ) ) ) ],
% 0.89/1.24 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( 'c_in'( T, X
% 0.89/1.24 , Z ) ), hBOOL( 'c_in'( T, Y, Z ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.89/1.24 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.24 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.89/1.24 hBOOL( 'c_in'( Y, X, T ) ), hBOOL( 'c_in'( Y, Z, T ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.24 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.89/1.24 hBOOL( 'c_in'( Y, X, T ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'(
% 0.89/1.24 T, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP(
% 0.89/1.24 Y, T ), X ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ), ~( 'c_lessequals'(
% 0.89/1.24 hAPP( Y,
% 0.89/1.24 'c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__le__1__1'( Y,
% 0.89/1.24 X ) ), hAPP( Y, 'c_Suc'(
% 0.89/1.24 'c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__le__1__1'( Y,
% 0.89/1.24 X ) ) ), X ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 0.89/1.24 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2'( Z, X, T
% 0.89/1.24 ) ) ), ~( hBOOL( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.24 'tc_bool' ) ) ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, 'tc_bool' ) )
% 0.89/1.24 ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( X, Y ) ), 'c_Finite__Set_Ofinite'(
% 0.89/1.24 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2'( Z, X, T
% 0.89/1.24 ), T ), ~( hBOOL( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.24 'tc_bool' ) ) ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, 'tc_bool' ) )
% 0.89/1.24 ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 0.89/1.24 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 0.89/1.24 'tc_bool' ) ), hBOOL( 'c_in'(
% 0.89/1.24 'c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1'( Y, U, X, Z, T ), Y, Z )
% 0.89/1.24 ) ],
% 0.89/1.24 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 0.89/1.24 'tc_bool' ) ), ~( hBOOL( 'c_in'( hAPP( X,
% 0.89/1.24 'c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1'( Y, U, X, Z, T ) ),
% 0.89/1.24 U, T ) ) ) ],
% 0.89/1.24 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 0.89/1.24 'tc_bool' ) ), hBOOL( 'c_in'(
% 0.89/1.24 'c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1'( Y, U, X, Z, T ), Y
% 0.89/1.24 , Z ) ) ],
% 0.89/1.24 [ hBOOL( 'c_in'( hAPP( X, Y ),
% 0.89/1.24 'c_Inductive_Ocomplete__lattice__class_Ogfp'( Z, 'tc_fun'( T, 'tc_bool' )
% 0.89/1.24 ), T ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), hAPP( Z,
% 0.89/1.24 'c_Set_Oimage'( X, U, W, T ) ), 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL(
% 0.89/1.24 'c_in'( Y, U, W ) ) ) ],
% 0.89/1.24 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 0.89/1.24 'tc_bool' ) ), ~( hBOOL( 'c_in'( hAPP( X,
% 0.89/1.24 'c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1'( Y, U, X, Z, T ) ), U, T
% 0.89/1.24 ) ) ) ],
% 0.89/1.24 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.24 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.89/1.24 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.89/1.24 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ =( 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.24 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ),
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( 'c_Finite__Set_Ocard'( X, Z ),
% 0.89/1.24 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ), ~( hBOOL( 'c_in'( Y,
% 0.89/1.24 X, Z ) ) ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.89/1.24 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.89/1.24 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), =( T
% 0.89/1.24 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ 'c_Fun_Oinj__on'( X, Y, Z, Z ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'(
% 0.89/1.24 X, Y, Z, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y
% 0.89/1.24 , Z ) ) ],
% 0.89/1.24 [ =( X, 'c_Set_Oimage'( Y,
% 0.89/1.24 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1'( Z, X, Y
% 0.89/1.24 , T, U ), T, U ) ), ~( 'c_lessequals'( X, 'c_Set_Oimage'( Y, Z, T, U ),
% 0.89/1.24 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( X, U ) ) ],
% 0.89/1.24 [ 'c_Finite__Set_Ofinite'(
% 0.89/1.24 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1'( X, Y, Z
% 0.89/1.24 , T, U ), T ), ~( 'c_lessequals'( Y, 'c_Set_Oimage'( Z, X, T, U ),
% 0.89/1.24 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, U ) ) ],
% 0.89/1.24 [ =( 'c_Set_Oimage'( X, Y, Z, Z ), Y ), ~( 'c_Fun_Oinj__on'( X, Y, Z, Z
% 0.89/1.24 ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, Z ), Y, 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.89/1.24 [ 'c_lessequals'(
% 0.89/1.24 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1'( X, Y, Z
% 0.89/1.24 , T, U ), X, 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y,
% 0.89/1.24 'c_Set_Oimage'( Z, X, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 0.89/1.24 'c_Finite__Set_Ofinite'( Y, U ) ) ],
% 0.89/1.24 [ ~( =( 'c_Finite__Set_Ocard'( X, Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.24 'tc_nat' ) ) ), ~( 'c_Finite__Set_Ofinite'( X, Y ) ), =( X,
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 0.89/1.24 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.89/1.24 , 'tc_nat' ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.24 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.89/1.24 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ), ~( 'c_lessequals'( Z
% 0.89/1.24 , Y, 'tc_nat' ) ) ],
% 0.89/1.24 [ ~( =( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T ), T ),
% 0.89/1.24 'c_Finite__Set_Ocard'( Y, Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ),
% 0.89/1.24 'c_Fun_Oinj__on'( X, Y, Z, T ) ],
% 0.89/1.24 [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T ), T ),
% 0.89/1.24 'c_Finite__Set_Ocard'( Y, Z ) ), ~( 'c_Fun_Oinj__on'( X, Y, Z, T ) ), ~(
% 0.89/1.24 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.24 X, Y, 'tc_nat' ) ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 0.89/1.24 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.89/1.24 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ), 'tc_nat' ),
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat'
% 0.89/1.24 ), 'c_Suc'( Y ), 'tc_nat' ) ), ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ]
% 0.89/1.24 ,
% 0.89/1.24 [ hBOOL( hAPP( hAPP( 'v_P', X ), 'c_Set_Oinsert'( hAPP( 'v_mgt__call', Y
% 0.89/1.24 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a'
% 0.89/1.24 ) ) ), ~( hBOOL( hAPP( hAPP( 'v_P', 'c_Set_Oinsert'( hAPP( 'v_mgt__call'
% 0.89/1.24 , Y ), X, 't_a' ) ), 'c_Set_Oinsert'( 'v_mgt'( 'c_Option_Othe'(
% 0.89/1.24 'c_Com_Obody'( Y ), 'tc_Com_Ocom' ) ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.24 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ) ) ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'(
% 0.89/1.24 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1'( Z, X, T
% 0.89/1.24 ), Z, T ) ), ~( hBOOL( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.89/1.24 T, 'tc_bool' ) ) ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, 'tc_bool' )
% 0.89/1.24 ) ), ~( 'c_Finite__Set_Ofinite'( Y, T ) ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.89/1.24 'c_Finite__Set_Olinorder__class_OMax'( Y, X ),
% 0.89/1.24 'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~(
% 0.89/1.24 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.24 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 0.89/1.24 'tc_bool' ) ) ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.89/1.24 'c_Finite__Set_Olinorder__class_OMin'( Y, X ),
% 0.89/1.24 'c_Finite__Set_Olinorder__class_OMin'( Z, X ), X ), ~(
% 0.89/1.24 'c_Finite__Set_Ofinite'( Y, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.24 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 0.89/1.24 'tc_bool' ) ) ) ],
% 0.89/1.24 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.89/1.24 Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X,
% 0.89/1.24 Z ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ) ) ],
% 0.89/1.24 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.24 ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 'c_lessequals'(
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.89/1.24 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.24 ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 'c_lessequals'(
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.89/1.24 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.89/1.24 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 0.89/1.24 hBOOL( 'c_in'( U, T, Z ) ) ) ],
% 0.89/1.24 [ hBOOL( 'c_in'( X, Y, Z ) ), =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'(
% 0.89/1.24 X, Y, Z ), Z ), 'c_Suc'( 'c_Finite__Set_Ocard'( Y, Z ) ) ), =(
% 0.89/1.24 'c_Finite__Set_Ocard'( Y, Z ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ]
% 0.89/1.24 ,
% 0.89/1.24 [ =( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'( Z, T ) ), ~(
% 0.89/1.24 'c_Finite__Set_Ofinite'( Z, T ) ), ~( 'c_Finite__Set_Ofinite'( X, Y ) ),
% 0.89/1.24 ~( 'c_lessequals'( 'c_Set_Oimage'( U, Z, T, Y ), X, 'tc_fun'( Y,
% 0.89/1.24 'tc_bool' ) ) ), ~( 'c_Fun_Oinj__on'( U, Z, T, Y ) ), ~( 'c_lessequals'(
% 0.89/1.24 'c_Set_Oimage'( W, X, Y, T ), Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.89/1.24 'c_Fun_Oinj__on'( W, X, Y, T ) ) ],
% 0.89/1.24 [ =( 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.89/1.24 Z, 'tc_bool' ) ), Z ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.24 'c_Finite__Set_Ocard'( X, Z ), 'c_Finite__Set_Ocard'( Y, Z ), 'tc_nat' )
% 0.89/1.24 ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.89/1.24 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.89/1.24 [ =( 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.24 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ),
% 0.89/1.24 'c_Finite__Set_Ocard'( X, Z ) ), hBOOL( 'c_in'( Y, X, Z ) ), ~(
% 0.89/1.24 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.89/1.24 [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X, Y, Z ), Z ), 'c_Suc'(
% 0.89/1.24 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( Y, 'c_Set_Oinsert'(
% 0.89/1.24 X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ),
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) )
% 0.89/1.24 ],
% 0.89/1.24 [ 'c_lessequals'( 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( X
% 0.89/1.24 , 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ),
% 0.89/1.24 'c_Finite__Set_Ocard'( X, Z ), 'tc_nat' ), ~( 'c_Finite__Set_Ofinite'( X
% 0.89/1.24 , Z ) ) ],
% 0.89/1.24 [ 'c_lessequals'( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'(
% 0.89/1.24 Z, T ), 'tc_nat' ), ~( 'c_Finite__Set_Ofinite'( Z, T ) ), ~(
% 0.89/1.24 'c_lessequals'( 'c_Set_Oimage'( U, X, Y, T ), Z, 'tc_fun'( T, 'tc_bool' )
% 0.89/1.24 ) ), ~( 'c_Fun_Oinj__on'( U, X, Y, T ) ) ],
% 0.89/1.24 [ =( 'c_Suc'( 'c_Finite__Set_Ocard'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.24 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.89/1.24 'c_Finite__Set_Ocard'( X, Z ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ), ~(
% 0.89/1.24 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( hAPP( 'v_P', X ), 'c_Set_Oinsert'( 'v_mgt'( Y ),
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ) )
% 0.89/1.24 ), ~( hBOOL( hAPP( hAPP( 'v_P', X ), 'c_Set_Oinsert'( hAPP(
% 0.89/1.24 'v_mgt__call', 'v_sko__local__Xassms__3__1'( X, 'v_P', 'v_U',
% 0.89/1.24 'v_mgt__call' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a',
% 0.89/1.24 'tc_bool' ) ), 't_a' ) ) ) ), ~( 'v_wt'( Y ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( hAPP( 'v_P', X ), 'c_Set_Oinsert'( 'v_mgt'( Y ),
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ) )
% 0.89/1.24 ), hBOOL( 'c_in'( 'v_sko__local__Xassms__3__1'( X, 'v_P', 'v_U',
% 0.89/1.24 'v_mgt__call' ), 'v_U', 'tc_Com_Opname' ) ), ~( 'v_wt'( Y ) ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.24 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.24 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.24 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.89/1.24 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.89/1.24 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.89/1.24 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' )
% 0.89/1.24 ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.89/1.24 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.89/1.24 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.89/1.24 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.89/1.24 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.89/1.24 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.89/1.24 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 0.89/1.24 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.89/1.24 ,
% 0.89/1.24 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 0.89/1.24 , ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.89/1.24 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.89/1.24 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y
% 0.89/1.24 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.89/1.24 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'(
% 0.89/1.24 X, Z, T ) ) ) ],
% 0.89/1.24 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'(
% 0.89/1.24 X, Z, T ) ) ) ],
% 0.89/1.24 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.24 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.24 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) ],
% 0.89/1.24 [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.89/1.24 , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.89/1.24 , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.89/1.24 Z, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.24 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.89/1.24 ,
% 0.89/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.24 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.89/1.24 ,
% 0.89/1.24 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.89/1.24 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ) ) ],
% 0.89/1.24 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 0.89/1.24 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 0.89/1.24 'tc_bool' ) ) ],
% 0.89/1.24 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.89/1.24 , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ) ) ],
% 0.89/1.24 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ),
% 0.89/1.24 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.89/1.24 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 'tc_nat' ) ]
% 0.89/1.24 ,
% 0.89/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.89/1.24 'c_lessequals'( Z, Y, X ) ],
% 0.89/1.24 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.89/1.24 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.89/1.24 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.89/1.24 ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 0.89/1.24 'c_in'( X, T, Z ) ) ) ],
% 0.89/1.24 [ ~( 'c_lessequals'( 'c_Suc'( X ), X, 'tc_nat' ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.89/1.24 [ 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ), ~( 'c_lessequals'( X, Y,
% 0.89/1.24 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ), Y,
% 0.89/1.24 'tc_nat' ) ) ],
% 0.89/1.24 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 0.89/1.24 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.89/1.24 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.89/1.24 'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y,
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.89/1.24 ,
% 0.89/1.24 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.89/1.24 'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.24 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.89/1.24 'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.24 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.24 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.89/1.24 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.24 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.24 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.89/1.24 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.89/1.24 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.89/1.24 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.89/1.24 'c_Finite__Set_Ocard'( Y, Z ) ), ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~(
% 0.89/1.24 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.89/1.24 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.89/1.24 ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.89/1.24 't_a', 'tc_bool' ) ), 't_a' ) ) ],
% 0.89/1.24 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.24 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.89/1.24 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.24 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.89/1.24 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.24 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.89/1.24 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.24 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.89/1.24 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ), T ), ~(
% 0.89/1.24 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.89/1.24 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.89/1.24 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.89/1.24 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.24 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.89/1.24 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 0.89/1.24 , Y, 'tc_nat' ) ) ],
% 0.89/1.24 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.89/1.24 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'( X,
% 0.89/1.24 'c_Set_Oinsert'( T, Y, Z ), Z ) ) ) ],
% 0.89/1.24 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.24 ) ), Y ) ) ) ],
% 0.89/1.24 [ =( X, Y ), ~( 'c_lessequals'( 'c_Finite__Set_Ocard'( Y, Z ),
% 0.89/1.24 'c_Finite__Set_Ocard'( X, Z ), 'tc_nat' ) ), ~( 'c_lessequals'( X, Y,
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat'
% 0.89/1.24 ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ],
% 0.89/1.24 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.89/1.24 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.89/1.24 [ 'c_lessequals'( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'(
% 0.89/1.24 'c_Set_Oinsert'( Z, X, Y ), Y ), 'tc_nat' ), ~( 'c_Finite__Set_Ofinite'(
% 0.89/1.24 X, Y ) ) ],
% 0.89/1.24 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.89/1.24 'tc_bool' ) ), X ) ],
% 0.89/1.24 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( X, Y, Z ), Z ), ~(
% 0.89/1.24 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.89/1.24 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.89/1.24 'c_Set_Oinsert'( Z, X, Y ), Y ) ) ],
% 0.89/1.24 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.89/1.24 ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y
% 0.89/1.24 , X, 'tc_nat' ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 0.89/1.24 X, T ), Y ) ) ) ],
% 0.89/1.24 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.89/1.24 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.89/1.24 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.89/1.24 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.24 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.89/1.24 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.24 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.24 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.24 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.24 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.89/1.24 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, 'c_Set_Oimage'(
% 0.89/1.24 Z, T, U, Y ), 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( T
% 0.89/1.24 , U ) ) ],
% 0.89/1.24 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, U, W ) ) )
% 0.89/1.24 , ~( 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T,
% 0.89/1.24 'tc_bool' ) ) ) ],
% 0.89/1.24 [ =( X, Y ), ~( hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) )
% 0.89/1.24 ],
% 0.89/1.24 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.89/1.24 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.89/1.24 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.89/1.24 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.89/1.24 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.89/1.24 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ],
% 0.89/1.24 [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X, Y, Z ), Z ), 'c_Suc'(
% 0.89/1.24 'c_Finite__Set_Ocard'( Y, Z ) ) ), hBOOL( 'c_in'( X, Y, Z ) ), ~(
% 0.89/1.24 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.89/1.24 [ hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.89/1.24 'tc_bool' ) ), Y ) ), =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X,
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ),
% 0.89/1.24 'c_Suc'( 'c_Finite__Set_Ocard'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.89/1.24 Y, 'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.24 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.89/1.24 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.89/1.24 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.89/1.24 'c_lessequals'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) )
% 0.89/1.24 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ),
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.89/1.24 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 0.89/1.24 ],
% 0.89/1.24 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.24 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.24 , T, X ) ) ), =( Y, Z ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.89/1.24 , T, X ) ) ), =( Z, T ) ],
% 0.89/1.24 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y
% 0.89/1.24 , Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), =( X, Z ) ]
% 0.89/1.24 ,
% 0.89/1.24 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.89/1.24 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ) ) ],
% 0.89/1.24 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), X,
% 0.89/1.24 'tc_nat' ) ],
% 0.89/1.24 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.89/1.24 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.24 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.89/1.24 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.89/1.24 ,
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.89/1.24 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, Z
% 0.89/1.24 , 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.89/1.24 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.89/1.24 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( 'c_in'( X, Y, Z ) ) ],
% 0.89/1.24 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T,
% 0.89/1.24 Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Suc'( Y )
% 0.89/1.24 , X, 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_lessequals'( Y, X,
% 0.89/1.24 'tc_nat' ) ],
% 0.89/1.24 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.89/1.24 ) ) ],
% 0.89/1.24 [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ),
% 0.89/1.24 'c_Set_Oimage'( X, Z, T, U ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.89/1.24 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.24 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL(
% 0.89/1.24 'c_in'( Y, X, T ) ) ],
% 0.89/1.24 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( 'c_in'( T, X
% 0.89/1.24 , Z ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ) ) ],
% 0.89/1.24 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.24 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL(
% 0.89/1.24 'c_in'( Y, X, T ) ) ],
% 0.89/1.24 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.89/1.24 , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( 'c_in'(
% 0.89/1.24 T, X, Z ) ) ],
% 0.89/1.24 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 0.89/1.24 hBOOL( 'c_in'( X, T, Z ) ), hBOOL( 'c_in'( X, Y, Z ) ), =( Y, T ) ],
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 0.89/1.24 X ), Y, 'tc_nat' ), 'c_Suc'( Z ), 'tc_nat' ),
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.89/1.24 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( hAPP( 'v_P', X ), Y ) ), ~( 'c_lessequals'( Y, X,
% 0.89/1.24 'tc_fun'( 't_a', 'tc_bool' ) ) ) ],
% 0.89/1.24 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( 'c_in'( X, Y, Z ) ) ) ]
% 0.89/1.24 ,
% 0.89/1.24 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.89/1.24 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.24 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.89/1.24 ) ), Z, X ) ) ],
% 0.89/1.24 [ 'c_lessequals'( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'(
% 0.89/1.24 Z, Y ), 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.89/1.24 , ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.89/1.24 [ 'c_lessequals'( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T ), T
% 0.89/1.24 ), 'c_Finite__Set_Ocard'( Y, Z ), 'tc_nat' ), ~( 'c_Finite__Set_Ofinite'(
% 0.89/1.24 Y, Z ) ) ],
% 0.89/1.24 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 0.89/1.24 Y, X ) ],
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.89/1.24 , 'tc_nat' ), 'tc_nat' ), Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ]
% 0.89/1.24 ,
% 0.89/1.24 [ =( X, 'c_Suc'( Y ) ), 'c_lessequals'( X, Y, 'tc_nat' ), ~(
% 0.89/1.24 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.89/1.24 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 0.89/1.24 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.89/1.24 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 0.89/1.24 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.89/1.24 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 0.89/1.24 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.89/1.24 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 0.89/1.24 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.89/1.24 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.89/1.24 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.89/1.24 [ 'c_Finite__Set_Ofinite'( 'v_U', 'tc_Com_Opname' ) ],
% 0.89/1.24 [ 'c_lessequals'( 'v_G', 'c_Set_Oimage'( 'v_mgt__call', 'v_U',
% 0.89/1.24 'tc_Com_Opname', 't_a' ), 'tc_fun'( 't_a', 'tc_bool' ) ) ],
% 0.89/1.24 [ 'c_lessequals'( 'c_Suc'( 'v_na' ), 'c_Finite__Set_Ocard'(
% 0.89/1.24 'c_Set_Oimage'( 'v_mgt__call', 'v_U', 'tc_Com_Opname', 't_a' ), 't_a' ),
% 0.89/1.24 'tc_nat' ) ],
% 0.89/1.24 [ =( 'c_Finite__Set_Ocard'( 'v_G', 't_a' ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.24 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( 'v_mgt__call', 'v_U',
% 0.89/1.24 'tc_Com_Opname', 't_a' ), 't_a' ), 'c_Suc'( 'v_na' ), 'tc_nat' ) ) ],
% 0.89/1.24 [ hBOOL( 'c_in'( 'v_x', 'v_U', 'tc_Com_Opname' ) ) ],
% 0.89/1.24 [ ~( hBOOL( hAPP( hAPP( 'v_P', 'v_G' ), 'c_Set_Oinsert'( hAPP(
% 0.89/1.24 'v_mgt__call', 'v_x' ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a',
% 0.89/1.24 'tc_bool' ) ), 't_a' ) ) ) ) ],
% 0.89/1.24 [ ~( =( 'c_Finite__Set_Ocard'( X, 't_a' ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.24 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( 'v_mgt__call', 'v_U',
% 0.89/1.24 'tc_Com_Opname', 't_a' ), 't_a' ), 'v_na', 'tc_nat' ) ) ), ~(
% 0.89/1.24 'c_lessequals'( X, 'c_Set_Oimage'( 'v_mgt__call', 'v_U', 'tc_Com_Opname'
% 0.89/1.24 , 't_a' ), 'tc_fun'( 't_a', 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'v_P', X
% 0.89/1.24 ), 'c_Set_Oinsert'( 'v_mgt'( Y ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.24 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ) ) ), ~( 'v_wt'( Y ) ) ],
% 0.89/1.24 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.24 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 0.89/1.24 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.24 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 0.89/1.24 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.89/1.24 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.24 'class_Orderings_Opreorder'( Y ) ) ],
% 0.89/1.24 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.24 'class_Orderings_Oorder'( Y ) ) ],
% 0.89/1.24 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.89/1.24 Y ) ) ],
% 0.89/1.24 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 0.89/1.24 ,
% 0.89/1.24 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.89/1.24 ,
% 0.89/1.24 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.89/1.24 ],
% 0.89/1.24 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.89/1.24 ) ],
% 0.89/1.24 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.89/1.24 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.89/1.24 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.89/1.24 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.89/1.24 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.89/1.24 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.89/1.24 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.89/1.24 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.89/1.24 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.89/1.24 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.89/1.24 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.89/1.24 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 0.89/1.24 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.89/1.24 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.89/1.24 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.89/1.24 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 0.89/1.24 [ 'class_HOL_Ominus'( 'tc_nat' ) ],
% 0.89/1.24 [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 0.89/1.24 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 0.89/1.24 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 0.89/1.24 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.89/1.24 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.89/1.24 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.89/1.24 [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 0.89/1.24 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.89/1.24 [ 'c_fequal'( X, X, Y ) ],
% 0.89/1.24 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.89/1.24 ] .
% 0.89/1.24
% 0.89/1.24
% 0.89/1.24 percentage equality = 0.225058, percentage horn = 0.867159
% 0.89/1.24 This is a problem with some equality
% 0.89/1.24
% 0.89/1.24
% 0.89/1.24
% 0.89/1.24 Options Used:
% 0.89/1.24
% 0.89/1.24 useres = 1
% 0.89/1.24 useparamod = 1
% 0.89/1.24 useeqrefl = 1
% 0.89/1.24 useeqfact = 1
% 0.89/1.24 usefactor = 1
% 0.89/1.24 usesimpsplitting = 0
% 0.89/1.24 usesimpdemod = 5
% 0.89/1.24 usesimpres = 3
% 0.89/1.24
% 0.89/1.24 resimpinuse = 1000
% 0.89/1.24 resimpclauses = 20000
% 0.89/1.24 substype = eqrewr
% 0.89/1.24 backwardsubs = 1
% 0.89/1.24 selectoldest = 5
% 0.89/1.24
% 0.89/1.24 litorderings [0] = split
% 0.89/1.24 litorderings [1] = extend the termordering, first sorting on arguments
% 0.89/1.24
% 0.89/1.24 termordering = kbo
% 0.89/1.24
% 0.89/1.24 litapriori = 0
% 0.89/1.24 termapriori = 1
% 0.89/1.24 litaposteriori = 0
% 2.52/2.88 termaposteriori = 0
% 2.52/2.88 demodaposteriori = 0
% 2.52/2.88 ordereqreflfact = 0
% 2.52/2.88
% 2.52/2.88 litselect = negord
% 2.52/2.88
% 2.52/2.88 maxweight = 15
% 2.52/2.88 maxdepth = 30000
% 2.52/2.88 maxlength = 115
% 2.52/2.88 maxnrvars = 195
% 2.52/2.88 excuselevel = 1
% 2.52/2.88 increasemaxweight = 1
% 2.52/2.88
% 2.52/2.88 maxselected = 10000000
% 2.52/2.88 maxnrclauses = 10000000
% 2.52/2.88
% 2.52/2.88 showgenerated = 0
% 2.52/2.88 showkept = 0
% 2.52/2.88 showselected = 0
% 2.52/2.88 showdeleted = 0
% 2.52/2.88 showresimp = 1
% 2.52/2.88 showstatus = 2000
% 2.52/2.88
% 2.52/2.88 prologoutput = 1
% 2.52/2.88 nrgoals = 5000000
% 2.52/2.88 totalproof = 1
% 2.52/2.88
% 2.52/2.88 Symbols occurring in the translation:
% 2.52/2.88
% 2.52/2.88 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.52/2.88 . [1, 2] (w:1, o:109, a:1, s:1, b:0),
% 2.52/2.88 ! [4, 1] (w:0, o:65, a:1, s:1, b:0),
% 2.52/2.88 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.52/2.88 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.52/2.88 'class_OrderedGroup_Oab__semigroup__add' [40, 1] (w:1, o:71, a:1, s:1
% 2.52/2.88 , b:0),
% 2.52/2.88 'c_HOL_Oplus__class_Oplus' [43, 3] (w:1, o:146, a:1, s:1, b:0),
% 2.52/2.88 'class_OrderedGroup_Ocomm__monoid__add' [45, 1] (w:1, o:72, a:1, s:1
% 2.52/2.88 , b:0),
% 2.52/2.88 'tc_nat' [48, 0] (w:1, o:16, a:1, s:1, b:0),
% 2.52/2.88 'class_OrderedGroup_Oab__group__add' [53, 1] (w:1, o:73, a:1, s:1, b:
% 2.52/2.88 0),
% 2.52/2.88 'class_Ring__and__Field_Ocomm__semiring__1' [54, 1] (w:1, o:74, a:1
% 2.52/2.88 , s:1, b:0),
% 2.52/2.88 'class_Orderings_Oorder' [55, 1] (w:1, o:75, a:1, s:1, b:0),
% 2.52/2.88 'c_HOL_Oord__class_Oless' [56, 3] (w:1, o:145, a:1, s:1, b:0),
% 2.52/2.88 'tc_bool' [59, 0] (w:1, o:28, a:1, s:1, b:0),
% 2.52/2.88 'tc_fun' [60, 2] (w:1, o:134, a:1, s:1, b:0),
% 2.52/2.88 'class_Orderings_Opreorder' [62, 1] (w:1, o:76, a:1, s:1, b:0),
% 2.52/2.88 'class_OrderedGroup_Opordered__comm__monoid__add' [63, 1] (w:1, o:77
% 2.52/2.88 , a:1, s:1, b:0),
% 2.52/2.88 'c_HOL_Ozero__class_Ozero' [64, 1] (w:1, o:78, a:1, s:1, b:0),
% 2.52/2.88 'c_lessequals' [65, 3] (w:1, o:147, a:1, s:1, b:0),
% 2.52/2.88 'class_OrderedGroup_Olordered__ab__group__add' [66, 1] (w:1, o:79, a:
% 2.52/2.88 1, s:1, b:0),
% 2.52/2.88 'c_Suc' [67, 1] (w:1, o:80, a:1, s:1, b:0),
% 2.52/2.88 'c_HOL_Oone__class_Oone' [68, 1] (w:1, o:81, a:1, s:1, b:0),
% 2.52/2.88 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [69, 1]
% 2.52/2.88 (w:1, o:82, a:1, s:1, b:0),
% 2.52/2.88 'c_HOL_Ominus__class_Ominus' [71, 3] (w:1, o:148, a:1, s:1, b:0),
% 2.52/2.88 'c_Fun_Oinj__on' [73, 4] (w:1, o:155, a:1, s:1, b:0),
% 2.52/2.88 'c_Set_Ovimage' [74, 4] (w:1, o:156, a:1, s:1, b:0),
% 2.52/2.88 'c_COMBK' [76, 3] (w:1, o:149, a:1, s:1, b:0),
% 2.52/2.88 'c_Finite__Set_Osetsum' [77, 4] (w:1, o:157, a:1, s:1, b:0),
% 2.52/2.88 'class_Nat_Osemiring__char__0' [80, 1] (w:1, o:70, a:1, s:1, b:0),
% 2.52/2.88 'c_Nat_Osemiring__1__class_Oof__nat' [81, 2] (w:1, o:135, a:1, s:1
% 2.52/2.88 , b:0),
% 2.52/2.88 'class_Ring__and__Field_Oidom' [82, 1] (w:1, o:83, a:1, s:1, b:0),
% 2.52/2.88 'class_Int_Onumber__ring' [83, 1] (w:1, o:86, a:1, s:1, b:0),
% 2.52/2.88 hAPP [85, 2] (w:1, o:136, a:1, s:1, b:0),
% 2.52/2.88 'c_OrderedGroup_Oab__semigroup__mult' [86, 2] (w:1, o:137, a:1, s:1
% 2.52/2.88 , b:0),
% 2.52/2.88 'class_Ring__and__Field_Oordered__idom' [87, 1] (w:1, o:87, a:1, s:1
% 2.52/2.88 , b:0),
% 2.52/2.88 'class_Ring__and__Field_Oordered__semidom' [88, 1] (w:1, o:88, a:1
% 2.52/2.88 , s:1, b:0),
% 2.52/2.88 'class_Ring__and__Field_Ozero__neq__one' [89, 1] (w:1, o:89, a:1, s:1
% 2.52/2.88 , b:0),
% 2.52/2.88 'c_Finite__Set_Ofinite' [90, 2] (w:1, o:138, a:1, s:1, b:0),
% 2.52/2.88 'c_Orderings_Obot__class_Obot' [91, 1] (w:1, o:90, a:1, s:1, b:0),
% 2.52/2.88 'class_Orderings_Olinorder' [92, 1] (w:1, o:91, a:1, s:1, b:0),
% 2.52/2.88 hBOOL [94, 1] (w:1, o:92, a:1, s:1, b:0),
% 2.52/2.88 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [95, 1]
% 2.52/2.88 (w:1, o:93, a:1, s:1, b:0),
% 2.52/2.88 'class_Ring__and__Field_Osemiring__1' [99, 1] (w:1, o:96, a:1, s:1
% 2.52/2.88 , b:0),
% 2.52/2.88 'class_OrderedGroup_Ocancel__ab__semigroup__add' [100, 1] (w:1, o:97
% 2.52/2.88 , a:1, s:1, b:0),
% 2.52/2.88 'class_OrderedGroup_Ocancel__semigroup__add' [101, 1] (w:1, o:98, a:1
% 2.52/2.88 , s:1, b:0),
% 2.52/2.88 'class_OrderedGroup_Omonoid__add' [102, 1] (w:1, o:99, a:1, s:1, b:0)
% 2.52/2.88 ,
% 2.52/2.88 'c_in' [103, 3] (w:1, o:150, a:1, s:1, b:0),
% 2.52/2.88 'class_OrderedGroup_Opordered__ab__group__add' [105, 1] (w:1, o:100
% 2.52/2.88 , a:1, s:1, b:0),
% 2.52/2.88 'class_Complete__Lattice_Ocomplete__lattice' [106, 1] (w:1, o:101, a:
% 2.52/2.88 1, s:1, b:0),
% 2.52/2.88 'c_Inductive_Ocomplete__lattice__class_Ogfp' [108, 2] (w:1, o:139, a:
% 14.39/14.76 1, s:1, b:0),
% 14.39/14.76 'class_OrderedGroup_Opordered__ab__semigroup__add' [109, 1] (w:1, o:
% 14.39/14.76 102, a:1, s:1, b:0),
% 14.39/14.76 'c_Set_Oinsert' [111, 3] (w:1, o:151, a:1, s:1, b:0),
% 14.39/14.76 'c_Finite__Set_Ocard' [112, 2] (w:1, o:140, a:1, s:1, b:0),
% 14.39/14.76 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1' [113, 3
% 14.39/14.76 ] (w:1, o:152, a:1, s:1, b:0),
% 14.39/14.76 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2' [114, 3
% 14.39/14.76 ] (w:1, o:153, a:1, s:1, b:0),
% 14.39/14.76 'c_Set_Oimage' [115, 4] (w:1, o:158, a:1, s:1, b:0),
% 14.39/14.76 'c_Finite__Set_Olinorder__class_OMax' [116, 2] (w:1, o:141, a:1, s:1
% 14.39/14.76 , b:0),
% 14.39/14.76 'c_Finite__Set_Olinorder__class_OMin' [117, 2] (w:1, o:142, a:1, s:1
% 14.39/14.76 , b:0),
% 14.39/14.76 'class_HOL_Ominus' [118, 1] (w:1, o:84, a:1, s:1, b:0),
% 14.39/14.76 't_a' [119, 0] (w:1, o:43, a:1, s:1, b:0),
% 14.39/14.76 'v_x' [120, 0] (w:1, o:44, a:1, s:1, b:0),
% 14.39/14.76 'class_OrderedGroup_Ogroup__add' [123, 1] (w:1, o:103, a:1, s:1, b:0)
% 14.39/14.76 ,
% 14.39/14.76 'class_HOL_Oord' [125, 1] (w:1, o:85, a:1, s:1, b:0),
% 14.39/14.76 'class_Ring__and__Field_Oring' [128, 1] (w:1, o:94, a:1, s:1, b:0),
% 14.39/14.76 'c_Com_Obody' [130, 1] (w:1, o:104, a:1, s:1, b:0),
% 14.39/14.76 'tc_Com_Ocom' [131, 0] (w:1, o:49, a:1, s:1, b:0),
% 14.39/14.76 'c_Option_Othe' [132, 2] (w:1, o:143, a:1, s:1, b:0),
% 14.39/14.76 'v_wt' [133, 1] (w:1, o:105, a:1, s:1, b:0),
% 14.39/14.76 'v_U' [134, 0] (w:1, o:50, a:1, s:1, b:0),
% 14.39/14.76 'tc_Com_Opname' [135, 0] (w:1, o:51, a:1, s:1, b:0),
% 14.39/14.76 'c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__le__1__1' [138
% 14.39/14.76 , 2] (w:1, o:144, a:1, s:1, b:0),
% 14.39/14.76 'c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1' [139, 5] (w:1, o:160
% 14.39/14.76 , a:1, s:1, b:0),
% 14.39/14.76 'c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1' [140, 5] (w:1
% 14.39/14.76 , o:161, a:1, s:1, b:0),
% 14.39/14.76 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1' [141, 5
% 14.39/14.76 ] (w:1, o:162, a:1, s:1, b:0),
% 14.39/14.76 'class_Ring__and__Field_Oring__1' [142, 1] (w:1, o:95, a:1, s:1, b:0)
% 14.39/14.76 ,
% 14.39/14.76 'v_P' [143, 0] (w:1, o:53, a:1, s:1, b:0),
% 14.39/14.76 'v_mgt__call' [145, 0] (w:1, o:55, a:1, s:1, b:0),
% 14.39/14.76 'v_mgt' [146, 1] (w:1, o:106, a:1, s:1, b:0),
% 14.39/14.76 'v_sko__local__Xassms__3__1' [149, 4] (w:1, o:159, a:1, s:1, b:0),
% 14.39/14.76 'class_Orderings_Obot' [153, 1] (w:1, o:107, a:1, s:1, b:0),
% 14.39/14.76 'class_Finite__Set_Ofinite_Ofinite' [156, 1] (w:1, o:108, a:1, s:1
% 14.39/14.76 , b:0),
% 14.39/14.76 'v_G' [157, 0] (w:1, o:60, a:1, s:1, b:0),
% 14.39/14.76 'v_na' [158, 0] (w:1, o:61, a:1, s:1, b:0),
% 14.39/14.76 'c_fequal' [161, 3] (w:1, o:154, a:1, s:1, b:0).
% 14.39/14.76
% 14.39/14.76
% 14.39/14.76 Starting Search:
% 14.39/14.76
% 14.39/14.76 Resimplifying inuse:
% 14.39/14.76 Done
% 14.39/14.76
% 14.39/14.76
% 14.39/14.76 Intermediate Status:
% 14.39/14.76 Generated: 5295
% 14.39/14.76 Kept: 2003
% 14.39/14.76 Inuse: 181
% 14.39/14.76 Deleted: 5
% 14.39/14.76 Deletedinuse: 0
% 14.39/14.76
% 14.39/14.76 Resimplifying inuse:
% 14.39/14.76 Done
% 14.39/14.76
% 14.39/14.76 Resimplifying inuse:
% 14.39/14.76 Done
% 14.39/14.76
% 14.39/14.76
% 14.39/14.76 Intermediate Status:
% 14.39/14.76 Generated: 10713
% 14.39/14.76 Kept: 4013
% 14.39/14.76 Inuse: 239
% 14.39/14.76 Deleted: 5
% 14.39/14.76 Deletedinuse: 0
% 14.39/14.76
% 14.39/14.76 Resimplifying inuse:
% 14.39/14.76 Done
% 14.39/14.76
% 14.39/14.76 Resimplifying inuse:
% 14.39/14.76 Done
% 14.39/14.76
% 14.39/14.76
% 14.39/14.76 Intermediate Status:
% 14.39/14.76 Generated: 22240
% 14.39/14.76 Kept: 6148
% 14.39/14.76 Inuse: 316
% 14.39/14.76 Deleted: 5
% 14.39/14.76 Deletedinuse: 0
% 14.39/14.76
% 14.39/14.76 Resimplifying inuse:
% 14.39/14.76 Done
% 14.39/14.76
% 14.39/14.76 Resimplifying inuse:
% 14.39/14.76 Done
% 14.39/14.76
% 14.39/14.76
% 14.39/14.76 Intermediate Status:
% 14.39/14.76 Generated: 34184
% 14.39/14.76 Kept: 8152
% 14.39/14.76 Inuse: 387
% 14.39/14.76 Deleted: 8
% 14.39/14.76 Deletedinuse: 1
% 14.39/14.76
% 14.39/14.76 Resimplifying inuse:
% 14.39/14.76 Done
% 14.39/14.76
% 14.39/14.76
% 14.39/14.76 Intermediate Status:
% 14.39/14.76 Generated: 47701
% 14.39/14.76 Kept: 10163
% 14.39/14.76 Inuse: 431
% 14.39/14.76 Deleted: 8
% 14.39/14.76 Deletedinuse: 1
% 14.39/14.76
% 14.39/14.76 Resimplifying inuse:
% 14.39/14.76 Done
% 14.39/14.76
% 14.39/14.76 Resimplifying inuse:
% 14.39/14.76 Done
% 14.39/14.76
% 14.39/14.76
% 14.39/14.76 Intermediate Status:
% 14.39/14.76 Generated: 65237
% 14.39/14.76 Kept: 12660
% 14.39/14.76 Inuse: 478
% 14.39/14.76 Deleted: 8
% 14.39/14.76 Deletedinuse: 1
% 14.39/14.76
% 14.39/14.76 Resimplifying inuse:
% 14.39/14.76 Done
% 14.39/14.76
% 14.39/14.76 Resimplifying inuse:
% 14.39/14.76 Done
% 14.39/14.76
% 14.39/14.76
% 14.39/14.76 Intermediate Status:
% 14.39/14.76 Generated: 76204
% 14.39/14.76 Kept: 14663
% 14.39/14.76 Inuse: 536
% 14.39/14.76 Deleted: 8
% 14.39/14.76 Deletedinuse: 1
% 14.39/14.76
% 14.39/14.76 Resimplifying inuse:
% 14.39/14.76 Done
% 14.39/14.76
% 14.39/14.76 Resimplifying inuse:
% 14.39/14.76 Done
% 14.39/14.76
% 14.39/14.76
% 14.39/14.76 Intermediate Status:
% 14.39/14.76 Generated: 90273
% 14.39/14.76 Kept: 17209
% 14.39/14.76 Inuse: 564
% 14.39/14.76 Deleted: 8
% 14.39/14.76 Deletedinuse: 1
% 14.39/14.76
% 14.39/14.76 Resimplifying inuse:
% 14.39/14.76 Done
% 14.39/14.76
% 14.39/14.76 Resimplifying inuse:
% 14.39/14.76 Done
% 14.39/14.76
% 14.39/14.76
% 14.39/14.76 Intermediate Status:
% 14.39/14.76 Generated: 102665
% 14.39/14.76 Kept: 19209
% 14.39/14.76 Inuse: 621
% 14.39/14.76 Deleted: 10
% 14.39/14.76 Deletedinuse: 1
% 14.39/14.76
% 14.39/14.76 Resimplifying inuse:
% 14.39/14.76 Done
% 14.39/14.76
% 14.39/14.76 Resimplifying clauses:
% 14.39/14.76 Done
% 14.39/14.76
% 14.39/14.76 Resimplifying inuse:
% 14.39/14.76 Done
% 14.39/14.76
% 14.39/14.76
% 14.39/14.76 Intermediate Status:
% 60.30/60.68 Generated: 113560
% 60.30/60.68 Kept: 21214
% 60.30/60.68 Inuse: 671
% 60.30/60.68 Deleted: 370
% 60.30/60.68 Deletedinuse: 1
% 60.30/60.68
% 60.30/60.68 Resimplifying inuse:
% 60.30/60.68 Done
% 60.30/60.68
% 60.30/60.68 Resimplifying inuse:
% 60.30/60.68 Done
% 60.30/60.68
% 60.30/60.68
% 60.30/60.68 Intermediate Status:
% 60.30/60.68 Generated: 121380
% 60.30/60.68 Kept: 23311
% 60.30/60.68 Inuse: 696
% 60.30/60.68 Deleted: 389
% 60.30/60.68 Deletedinuse: 20
% 60.30/60.68
% 60.30/60.68 Resimplifying inuse:
% 60.30/60.68 Done
% 60.30/60.68
% 60.30/60.68 Resimplifying inuse:
% 60.30/60.68 Done
% 60.30/60.68
% 60.30/60.68
% 60.30/60.68 Intermediate Status:
% 60.30/60.68 Generated: 138066
% 60.30/60.68 Kept: 25311
% 60.30/60.68 Inuse: 742
% 60.30/60.68 Deleted: 396
% 60.30/60.68 Deletedinuse: 25
% 60.30/60.68
% 60.30/60.68 Resimplifying inuse:
% 60.30/60.68 Done
% 60.30/60.68
% 60.30/60.68 Resimplifying inuse:
% 60.30/60.68 Done
% 60.30/60.68
% 60.30/60.68
% 60.30/60.68 Intermediate Status:
% 60.30/60.68 Generated: 152648
% 60.30/60.68 Kept: 27315
% 60.30/60.68 Inuse: 786
% 60.30/60.68 Deleted: 399
% 60.30/60.68 Deletedinuse: 25
% 60.30/60.68
% 60.30/60.68 Resimplifying inuse:
% 60.30/60.68 Done
% 60.30/60.68
% 60.30/60.68
% 60.30/60.68 Intermediate Status:
% 60.30/60.68 Generated: 161423
% 60.30/60.68 Kept: 29338
% 60.30/60.68 Inuse: 817
% 60.30/60.68 Deleted: 404
% 60.30/60.68 Deletedinuse: 26
% 60.30/60.68
% 60.30/60.68 Resimplifying inuse:
% 60.30/60.68 Done
% 60.30/60.68
% 60.30/60.68 Resimplifying inuse:
% 60.30/60.68 Done
% 60.30/60.68
% 60.30/60.68
% 60.30/60.68 Intermediate Status:
% 60.30/60.68 Generated: 171936
% 60.30/60.68 Kept: 31535
% 60.30/60.68 Inuse: 842
% 60.30/60.68 Deleted: 404
% 60.30/60.68 Deletedinuse: 26
% 60.30/60.68
% 60.30/60.68 Resimplifying inuse:
% 60.30/60.68 Done
% 60.30/60.68
% 60.30/60.68 Resimplifying inuse:
% 60.30/60.68 Done
% 60.30/60.68
% 60.30/60.68
% 60.30/60.68 Intermediate Status:
% 60.30/60.68 Generated: 182301
% 60.30/60.68 Kept: 33553
% 60.30/60.68 Inuse: 882
% 60.30/60.68 Deleted: 404
% 60.30/60.68 Deletedinuse: 26
% 60.30/60.68
% 60.30/60.68 Resimplifying inuse:
% 60.30/60.68 Done
% 60.30/60.68
% 60.30/60.68 Resimplifying inuse:
% 60.30/60.68 Done
% 60.30/60.68
% 60.30/60.68
% 60.30/60.68 Intermediate Status:
% 60.30/60.68 Generated: 190963
% 60.30/60.68 Kept: 35568
% 60.30/60.68 Inuse: 929
% 60.30/60.68 Deleted: 404
% 60.30/60.68 Deletedinuse: 26
% 60.30/60.68
% 60.30/60.68 Resimplifying inuse:
% 60.30/60.68 Done
% 60.30/60.68
% 60.30/60.68 Resimplifying inuse:
% 60.30/60.68 Done
% 60.30/60.68
% 60.30/60.68
% 60.30/60.68 Intermediate Status:
% 60.30/60.68 Generated: 207942
% 60.30/60.68 Kept: 39312
% 60.30/60.68 Inuse: 972
% 60.30/60.68 Deleted: 406
% 60.30/60.68 Deletedinuse: 28
% 60.30/60.68
% 60.30/60.68 Resimplifying inuse:
% 60.30/60.68 Done
% 60.30/60.68
% 60.30/60.68 Resimplifying clauses:
% 60.30/60.68 Done
% 60.30/60.68
% 60.30/60.68 Resimplifying inuse:
% 60.30/60.68 Done
% 60.30/60.68
% 60.30/60.68
% 60.30/60.68 Intermediate Status:
% 60.30/60.68 Generated: 222625
% 60.30/60.68 Kept: 41338
% 60.30/60.68 Inuse: 1009
% 60.30/60.68 Deleted: 1233
% 60.30/60.68 Deletedinuse: 28
% 60.30/60.68
% 60.30/60.68 Resimplifying inuse:
% 60.30/60.68 Done
% 60.30/60.68
% 60.30/60.68 Resimplifying inuse:
% 60.30/60.68 Done
% 60.30/60.68
% 60.30/60.68
% 60.30/60.68 Intermediate Status:
% 60.30/60.68 Generated: 237507
% 60.30/60.68 Kept: 43356
% 60.30/60.68 Inuse: 1055
% 60.30/60.68 Deleted: 1234
% 60.30/60.68 Deletedinuse: 29
% 60.30/60.68
% 60.30/60.68 Resimplifying inuse:
% 60.30/60.68 Done
% 60.30/60.68
% 60.30/60.68 Resimplifying inuse:
% 60.30/60.68 Done
% 60.30/60.68
% 60.30/60.68
% 60.30/60.68 Intermediate Status:
% 60.30/60.68 Generated: 249529
% 60.30/60.68 Kept: 45733
% 60.30/60.68 Inuse: 1092
% 60.30/60.68 Deleted: 1234
% 60.30/60.68 Deletedinuse: 29
% 60.30/60.68
% 60.30/60.68 Resimplifying inuse:
% 60.30/60.68 Done
% 60.30/60.68
% 60.30/60.68 Resimplifying inuse:
% 60.30/60.68 Done
% 60.30/60.68
% 60.30/60.68
% 60.30/60.68 Intermediate Status:
% 60.30/60.68 Generated: 264422
% 60.30/60.68 Kept: 49614
% 60.30/60.68 Inuse: 1101
% 60.30/60.68 Deleted: 1235
% 60.30/60.68 Deletedinuse: 29
% 60.30/60.68
% 60.30/60.68 Resimplifying inuse:
% 60.30/60.68 Done
% 60.30/60.68
% 60.30/60.68 Resimplifying inuse:
% 60.30/60.68 Done
% 60.30/60.68
% 60.30/60.68
% 60.30/60.68 Intermediate Status:
% 60.30/60.68 Generated: 276329
% 60.30/60.68 Kept: 51682
% 60.30/60.68 Inuse: 1149
% 60.30/60.68 Deleted: 1242
% 60.30/60.68 Deletedinuse: 29
% 60.30/60.68
% 60.30/60.68 Resimplifying inuse:
% 60.30/60.68 Done
% 60.30/60.68
% 60.30/60.68 Resimplifying inuse:
% 60.30/60.68 Done
% 60.30/60.68
% 60.30/60.68
% 60.30/60.68 Intermediate Status:
% 60.30/60.68 Generated: 285505
% 60.30/60.68 Kept: 53743
% 60.30/60.68 Inuse: 1156
% 60.30/60.68 Deleted: 1242
% 60.30/60.68 Deletedinuse: 29
% 60.30/60.68
% 60.30/60.68 Resimplifying inuse:
% 60.30/60.68 Done
% 60.30/60.68
% 60.30/60.68
% 60.30/60.68 Intermediate Status:
% 60.30/60.68 Generated: 296720
% 60.30/60.68 Kept: 55751
% 60.30/60.68 Inuse: 1187
% 60.30/60.68 Deleted: 1243
% 60.30/60.68 Deletedinuse: 30
% 60.30/60.68
% 60.30/60.68
% 60.30/60.68 Intermediate Status:
% 60.30/60.68 Generated: 305431
% 60.30/60.68 Kept: 59349
% 60.30/60.68 Inuse: 1188
% 60.30/60.68 Deleted: 1243
% 60.30/60.68 Deletedinuse: 30
% 60.30/60.68
% 60.30/60.68 Resimplifying inuse:
% 60.30/60.68 Done
% 60.30/60.68
% 60.30/60.68 Resimplifying clauses:
% 60.30/60.68 Done
% 60.30/60.68
% 60.30/60.68
% 60.30/60.68 Intermediate Status:
% 60.30/60.68 Generated: 319871
% 60.30/60.68 Kept: 61743
% 60.30/60.68 Inuse: 1214
% 60.30/60.68 Deleted: 1822
% 60.30/60.68 Deletedinuse: 30
% 60.30/60.68
% 60.30/60.68 Resimplifying inuse:
% 60.30/60.68 Done
% 60.30/60.68
% 60.30/60.68 Resimplifying inuse:
% 60.30/60.68 Done
% 60.30/60.68
% 60.30/60.68
% 60.30/60.68 Intermediate Status:
% 60.30/60.68 Generated: 333587
% 60.30/60.68 Kept: 63914
% 60.30/60.68 Inuse: 1254
% 60.30/60.68 Deleted: 1822
% 60.30/60.68 Deletedinuse: 30
% 60.30/60.68
% 60.30/60.68 Resimplifying inuse:
% 60.30/60.68 Done
% 60.30/60.68
% 60.30/60.68
% 60.30/60.68 Intermediate Status:
% 60.30/60.68 Generated: 347163
% 60.30/60.68 Kept: 66799
% 60.30/60.68 Inuse: 1269
% 60.30/60.68 Deleted: 1822
% 60.30/60.68 Deletedinuse: 30
% 60.30/60.68
% 60.30/60.68 Resimplifying inuse:
% 60.30/60.68 Done
% 60.30/60.68
% 60.30/60.68 Resimplifying inuse:
% 60.30/60.68 Done
% 60.30/60.68
% 60.30/60.68
% 60.30/60.68 Intermediate Status:
% 60.30/60.68 Generated: 358026
% 60.30/60.68 Kept: 69719
% 60.30/60.68 Inuse: 1288
% 60.30/60.68 Deleted: 1828
% 60.30/60.68 Deletedinuse: 35
% 60.30/60.68
% 60.30/60.68 Resimplifying inuse:
% 60.30/60.68 Done
% 60.30/60.68
% 60.30/60.68 Resimplifying inuse:
% 60.30/60.68 Done
% 60.30/60.68
% 60.30/60.68
% 60.30/60.68 Intermediate Status:
% 60.30/60.68 Generated: 378187
% 60.30/60.68 Kept: 72492
% 60.30/60.68 Inuse: 1323
% 60.30/60.68 Deleted: 1834
% 60.30/60.68 Deletedinuse: 41
% 60.30/60.68
% 60.30/60.68 Resimplifying inuse:
% 60.30/60.68 Done
% 60.30/60.68
% 60.30/60.68 Resimplifying inuse:
% 60.30/60.68 Done
% 60.30/60.68
% 60.30/60.68
% 60.30/60.68 Intermediate Status:
% 60.30/60.68 Generated: 393517
% 60.30/60.68 Kept: 74638
% 60.30/60.68 Inuse: 1358
% 60.30/60.68 Deleted: 1836
% 60.30/60.68 Deletedinuse: 43
% 60.30/60.68
% 60.30/60.68 Resimplifying inuse:
% 60.30/60.68 Done
% 60.30/60.68
% 60.30/60.68 Resimplifying inuse:
% 60.30/60.68 Done
% 60.30/60.68
% 60.30/60.68
% 60.30/60.68 Intermediate Status:
% 60.30/60.68 Generated: 409249
% 60.30/60.68 Kept: 77001
% 60.30/60.68 Inuse: 1392
% 60.30/60.68 Deleted: 1838
% 60.30/60.68 Deletedinuse: 44
% 60.30/60.68
% 60.30/60.68 Resimplifying inuse:
% 60.30/60.68 Done
% 60.30/60.68
% 60.30/60.68 Resimplifying inuse:
% 60.30/60.68 Done
% 60.30/60.68
% 60.30/60.68
% 60.30/60.68 Intermediate Status:
% 60.30/60.68 Generated: 420485
% 60.30/60.68 Kept: 79022
% 60.30/60.68 Inuse: 1417
% 60.30/60.68 Deleted: 1838
% 129.71/130.09 Deletedinuse: 44
% 129.71/130.09
% 129.71/130.09 Resimplifying inuse:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09 Resimplifying clauses:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09
% 129.71/130.09 Intermediate Status:
% 129.71/130.09 Generated: 433695
% 129.71/130.09 Kept: 81290
% 129.71/130.09 Inuse: 1427
% 129.71/130.09 Deleted: 2926
% 129.71/130.09 Deletedinuse: 44
% 129.71/130.09
% 129.71/130.09 Resimplifying inuse:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09 Resimplifying inuse:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09
% 129.71/130.09 Intermediate Status:
% 129.71/130.09 Generated: 445826
% 129.71/130.09 Kept: 83398
% 129.71/130.09 Inuse: 1445
% 129.71/130.09 Deleted: 2926
% 129.71/130.09 Deletedinuse: 44
% 129.71/130.09
% 129.71/130.09 Resimplifying inuse:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09 Resimplifying inuse:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09
% 129.71/130.09 Intermediate Status:
% 129.71/130.09 Generated: 456737
% 129.71/130.09 Kept: 85614
% 129.71/130.09 Inuse: 1462
% 129.71/130.09 Deleted: 2926
% 129.71/130.09 Deletedinuse: 44
% 129.71/130.09
% 129.71/130.09 Resimplifying inuse:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09 Resimplifying inuse:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09
% 129.71/130.09 Intermediate Status:
% 129.71/130.09 Generated: 472120
% 129.71/130.09 Kept: 89051
% 129.71/130.09 Inuse: 1484
% 129.71/130.09 Deleted: 2926
% 129.71/130.09 Deletedinuse: 44
% 129.71/130.09
% 129.71/130.09 Resimplifying inuse:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09 Resimplifying inuse:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09
% 129.71/130.09 Intermediate Status:
% 129.71/130.09 Generated: 484108
% 129.71/130.09 Kept: 91260
% 129.71/130.09 Inuse: 1497
% 129.71/130.09 Deleted: 2926
% 129.71/130.09 Deletedinuse: 44
% 129.71/130.09
% 129.71/130.09 Resimplifying inuse:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09 Resimplifying inuse:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09
% 129.71/130.09 Intermediate Status:
% 129.71/130.09 Generated: 498166
% 129.71/130.09 Kept: 94992
% 129.71/130.09 Inuse: 1515
% 129.71/130.09 Deleted: 2926
% 129.71/130.09 Deletedinuse: 44
% 129.71/130.09
% 129.71/130.09 Resimplifying inuse:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09 Resimplifying inuse:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09
% 129.71/130.09 Intermediate Status:
% 129.71/130.09 Generated: 510903
% 129.71/130.09 Kept: 97000
% 129.71/130.09 Inuse: 1530
% 129.71/130.09 Deleted: 2926
% 129.71/130.09 Deletedinuse: 44
% 129.71/130.09
% 129.71/130.09 Resimplifying inuse:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09 Resimplifying inuse:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09
% 129.71/130.09 Intermediate Status:
% 129.71/130.09 Generated: 524935
% 129.71/130.09 Kept: 99420
% 129.71/130.09 Inuse: 1552
% 129.71/130.09 Deleted: 2926
% 129.71/130.09 Deletedinuse: 44
% 129.71/130.09
% 129.71/130.09 Resimplifying inuse:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09 Resimplifying clauses:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09
% 129.71/130.09 Intermediate Status:
% 129.71/130.09 Generated: 542054
% 129.71/130.09 Kept: 102304
% 129.71/130.09 Inuse: 1562
% 129.71/130.09 Deleted: 3168
% 129.71/130.09 Deletedinuse: 44
% 129.71/130.09
% 129.71/130.09 Resimplifying inuse:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09 Resimplifying inuse:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09
% 129.71/130.09 Intermediate Status:
% 129.71/130.09 Generated: 558630
% 129.71/130.09 Kept: 104527
% 129.71/130.09 Inuse: 1587
% 129.71/130.09 Deleted: 3168
% 129.71/130.09 Deletedinuse: 44
% 129.71/130.09
% 129.71/130.09 Resimplifying inuse:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09 Resimplifying inuse:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09
% 129.71/130.09 Intermediate Status:
% 129.71/130.09 Generated: 571671
% 129.71/130.09 Kept: 106556
% 129.71/130.09 Inuse: 1610
% 129.71/130.09 Deleted: 3169
% 129.71/130.09 Deletedinuse: 44
% 129.71/130.09
% 129.71/130.09 Resimplifying inuse:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09 Resimplifying inuse:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09
% 129.71/130.09 Intermediate Status:
% 129.71/130.09 Generated: 580368
% 129.71/130.09 Kept: 108961
% 129.71/130.09 Inuse: 1621
% 129.71/130.09 Deleted: 3172
% 129.71/130.09 Deletedinuse: 47
% 129.71/130.09
% 129.71/130.09 Resimplifying inuse:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09 Resimplifying inuse:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09
% 129.71/130.09 Intermediate Status:
% 129.71/130.09 Generated: 594549
% 129.71/130.09 Kept: 111166
% 129.71/130.09 Inuse: 1646
% 129.71/130.09 Deleted: 3172
% 129.71/130.09 Deletedinuse: 47
% 129.71/130.09
% 129.71/130.09 Resimplifying inuse:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09
% 129.71/130.09 Intermediate Status:
% 129.71/130.09 Generated: 601721
% 129.71/130.09 Kept: 113775
% 129.71/130.09 Inuse: 1647
% 129.71/130.09 Deleted: 3172
% 129.71/130.09 Deletedinuse: 47
% 129.71/130.09
% 129.71/130.09 Resimplifying inuse:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09 Resimplifying inuse:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09
% 129.71/130.09 Intermediate Status:
% 129.71/130.09 Generated: 616627
% 129.71/130.09 Kept: 116381
% 129.71/130.09 Inuse: 1666
% 129.71/130.09 Deleted: 3172
% 129.71/130.09 Deletedinuse: 47
% 129.71/130.09
% 129.71/130.09 Resimplifying inuse:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09
% 129.71/130.09 Intermediate Status:
% 129.71/130.09 Generated: 634299
% 129.71/130.09 Kept: 118816
% 129.71/130.09 Inuse: 1671
% 129.71/130.09 Deleted: 3173
% 129.71/130.09 Deletedinuse: 48
% 129.71/130.09
% 129.71/130.09 Resimplifying inuse:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09 Resimplifying inuse:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09
% 129.71/130.09 Intermediate Status:
% 129.71/130.09 Generated: 648950
% 129.71/130.09 Kept: 120982
% 129.71/130.09 Inuse: 1696
% 129.71/130.09 Deleted: 3173
% 129.71/130.09 Deletedinuse: 48
% 129.71/130.09
% 129.71/130.09 Resimplifying inuse:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09 Resimplifying clauses:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09 Resimplifying inuse:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09
% 129.71/130.09 Intermediate Status:
% 129.71/130.09 Generated: 672075
% 129.71/130.09 Kept: 123639
% 129.71/130.09 Inuse: 1709
% 129.71/130.09 Deleted: 4173
% 129.71/130.09 Deletedinuse: 49
% 129.71/130.09
% 129.71/130.09 Resimplifying inuse:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09
% 129.71/130.09 Intermediate Status:
% 129.71/130.09 Generated: 715230
% 129.71/130.09 Kept: 128567
% 129.71/130.09 Inuse: 1711
% 129.71/130.09 Deleted: 4181
% 129.71/130.09 Deletedinuse: 49
% 129.71/130.09
% 129.71/130.09 Resimplifying inuse:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09
% 129.71/130.09 Intermediate Status:
% 129.71/130.09 Generated: 759412
% 129.71/130.09 Kept: 133259
% 129.71/130.09 Inuse: 1712
% 129.71/130.09 Deleted: 4185
% 129.71/130.09 Deletedinuse: 49
% 129.71/130.09
% 129.71/130.09 Resimplifying inuse:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09 Resimplifying inuse:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09
% 129.71/130.09 Intermediate Status:
% 129.71/130.09 Generated: 789570
% 129.71/130.09 Kept: 136038
% 129.71/130.09 Inuse: 1718
% 129.71/130.09 Deleted: 4194
% 129.71/130.09 Deletedinuse: 49
% 129.71/130.09
% 129.71/130.09 Resimplifying inuse:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09 Resimplifying inuse:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09
% 129.71/130.09 Intermediate Status:
% 129.71/130.09 Generated: 818044
% 129.71/130.09 Kept: 139993
% 129.71/130.09 Inuse: 1720
% 129.71/130.09 Deleted: 4202
% 129.71/130.09 Deletedinuse: 49
% 129.71/130.09
% 129.71/130.09 Resimplifying inuse:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09
% 129.71/130.09 Intermediate Status:
% 129.71/130.09 Generated: 833076
% 129.71/130.09 Kept: 142560
% 129.71/130.09 Inuse: 1721
% 129.71/130.09 Deleted: 4206
% 129.71/130.09 Deletedinuse: 49
% 129.71/130.09
% 129.71/130.09 Resimplifying inuse:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09 Resimplifying clauses:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09 Resimplifying inuse:
% 129.71/130.09 Done
% 129.71/130.09
% 129.71/130.09
% 129.71/130.09 Intermediate Status:
% 129.71/130.09 Generated: 851453
% 129.71/130.09 Kept: 145346
% 129.71/130.09 Inuse: 1739
% 129.71/130.09 Deleted: 4388
% 290.94/291.38 Deletedinuse: 49
% 290.94/291.38
% 290.94/291.38 Resimplifying inuse:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38
% 290.94/291.38 Intermediate Status:
% 290.94/291.38 Generated: 865698
% 290.94/291.38 Kept: 147875
% 290.94/291.38 Inuse: 1741
% 290.94/291.38 Deleted: 4388
% 290.94/291.38 Deletedinuse: 49
% 290.94/291.38
% 290.94/291.38 Resimplifying inuse:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38 Resimplifying inuse:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38
% 290.94/291.38 Intermediate Status:
% 290.94/291.38 Generated: 876775
% 290.94/291.38 Kept: 150113
% 290.94/291.38 Inuse: 1761
% 290.94/291.38 Deleted: 4389
% 290.94/291.38 Deletedinuse: 50
% 290.94/291.38
% 290.94/291.38 Resimplifying inuse:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38 Resimplifying inuse:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38
% 290.94/291.38 Intermediate Status:
% 290.94/291.38 Generated: 887127
% 290.94/291.38 Kept: 152224
% 290.94/291.38 Inuse: 1781
% 290.94/291.38 Deleted: 4389
% 290.94/291.38 Deletedinuse: 50
% 290.94/291.38
% 290.94/291.38 Resimplifying inuse:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38 Resimplifying inuse:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38
% 290.94/291.38 Intermediate Status:
% 290.94/291.38 Generated: 916153
% 290.94/291.38 Kept: 155096
% 290.94/291.38 Inuse: 1801
% 290.94/291.38 Deleted: 4389
% 290.94/291.38 Deletedinuse: 50
% 290.94/291.38
% 290.94/291.38 Resimplifying inuse:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38
% 290.94/291.38 Intermediate Status:
% 290.94/291.38 Generated: 937377
% 290.94/291.38 Kept: 157143
% 290.94/291.38 Inuse: 1811
% 290.94/291.38 Deleted: 4389
% 290.94/291.38 Deletedinuse: 50
% 290.94/291.38
% 290.94/291.38 Resimplifying inuse:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38 Resimplifying inuse:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38
% 290.94/291.38 Intermediate Status:
% 290.94/291.38 Generated: 952829
% 290.94/291.38 Kept: 159147
% 290.94/291.38 Inuse: 1834
% 290.94/291.38 Deleted: 4389
% 290.94/291.38 Deletedinuse: 50
% 290.94/291.38
% 290.94/291.38 Resimplifying inuse:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38 Resimplifying inuse:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38
% 290.94/291.38 Intermediate Status:
% 290.94/291.38 Generated: 976474
% 290.94/291.38 Kept: 161392
% 290.94/291.38 Inuse: 1845
% 290.94/291.38 Deleted: 4391
% 290.94/291.38 Deletedinuse: 51
% 290.94/291.38
% 290.94/291.38 Resimplifying inuse:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38 Resimplifying inuse:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38 Resimplifying clauses:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38
% 290.94/291.38 Intermediate Status:
% 290.94/291.38 Generated: 992972
% 290.94/291.38 Kept: 164695
% 290.94/291.38 Inuse: 1860
% 290.94/291.38 Deleted: 4832
% 290.94/291.38 Deletedinuse: 51
% 290.94/291.38
% 290.94/291.38 Resimplifying inuse:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38 Resimplifying inuse:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38
% 290.94/291.38 Intermediate Status:
% 290.94/291.38 Generated: 1003861
% 290.94/291.38 Kept: 166807
% 290.94/291.38 Inuse: 1876
% 290.94/291.38 Deleted: 4832
% 290.94/291.38 Deletedinuse: 51
% 290.94/291.38
% 290.94/291.38 Resimplifying inuse:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38 Resimplifying inuse:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38
% 290.94/291.38 Intermediate Status:
% 290.94/291.38 Generated: 1012425
% 290.94/291.38 Kept: 168829
% 290.94/291.38 Inuse: 1890
% 290.94/291.38 Deleted: 4834
% 290.94/291.38 Deletedinuse: 52
% 290.94/291.38
% 290.94/291.38 Resimplifying inuse:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38
% 290.94/291.38 Intermediate Status:
% 290.94/291.38 Generated: 1051330
% 290.94/291.38 Kept: 170858
% 290.94/291.38 Inuse: 1918
% 290.94/291.38 Deleted: 4835
% 290.94/291.38 Deletedinuse: 52
% 290.94/291.38
% 290.94/291.38 Resimplifying inuse:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38
% 290.94/291.38 Intermediate Status:
% 290.94/291.38 Generated: 1071184
% 290.94/291.38 Kept: 172883
% 290.94/291.38 Inuse: 1924
% 290.94/291.38 Deleted: 4835
% 290.94/291.38 Deletedinuse: 52
% 290.94/291.38
% 290.94/291.38 Resimplifying inuse:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38 Resimplifying inuse:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38
% 290.94/291.38 Intermediate Status:
% 290.94/291.38 Generated: 1116513
% 290.94/291.38 Kept: 174899
% 290.94/291.38 Inuse: 1954
% 290.94/291.38 Deleted: 4837
% 290.94/291.38 Deletedinuse: 54
% 290.94/291.38
% 290.94/291.38 Resimplifying inuse:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38
% 290.94/291.38 Intermediate Status:
% 290.94/291.38 Generated: 1159640
% 290.94/291.38 Kept: 176922
% 290.94/291.38 Inuse: 2000
% 290.94/291.38 Deleted: 4837
% 290.94/291.38 Deletedinuse: 54
% 290.94/291.38
% 290.94/291.38 Resimplifying inuse:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38 Resimplifying inuse:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38
% 290.94/291.38 Intermediate Status:
% 290.94/291.38 Generated: 1295934
% 290.94/291.38 Kept: 179001
% 290.94/291.38 Inuse: 2044
% 290.94/291.38 Deleted: 4837
% 290.94/291.38 Deletedinuse: 54
% 290.94/291.38
% 290.94/291.38 Resimplifying inuse:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38 Resimplifying inuse:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38
% 290.94/291.38 Intermediate Status:
% 290.94/291.38 Generated: 1325262
% 290.94/291.38 Kept: 181015
% 290.94/291.38 Inuse: 2086
% 290.94/291.38 Deleted: 4837
% 290.94/291.38 Deletedinuse: 54
% 290.94/291.38
% 290.94/291.38 Resimplifying inuse:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38 Resimplifying inuse:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38 Resimplifying clauses:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38
% 290.94/291.38 Intermediate Status:
% 290.94/291.38 Generated: 1368725
% 290.94/291.38 Kept: 183047
% 290.94/291.38 Inuse: 2136
% 290.94/291.38 Deleted: 6618
% 290.94/291.38 Deletedinuse: 54
% 290.94/291.38
% 290.94/291.38 Resimplifying inuse:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38 Resimplifying inuse:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38
% 290.94/291.38 Intermediate Status:
% 290.94/291.38 Generated: 1412684
% 290.94/291.38 Kept: 185052
% 290.94/291.38 Inuse: 2194
% 290.94/291.38 Deleted: 6618
% 290.94/291.38 Deletedinuse: 54
% 290.94/291.38
% 290.94/291.38 Resimplifying inuse:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38 Resimplifying inuse:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38
% 290.94/291.38 Intermediate Status:
% 290.94/291.38 Generated: 1442757
% 290.94/291.38 Kept: 187083
% 290.94/291.38 Inuse: 2236
% 290.94/291.38 Deleted: 6618
% 290.94/291.38 Deletedinuse: 54
% 290.94/291.38
% 290.94/291.38 Resimplifying inuse:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38 Resimplifying inuse:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38
% 290.94/291.38 Intermediate Status:
% 290.94/291.38 Generated: 1477195
% 290.94/291.38 Kept: 189132
% 290.94/291.38 Inuse: 2282
% 290.94/291.38 Deleted: 6618
% 290.94/291.38 Deletedinuse: 54
% 290.94/291.38
% 290.94/291.38 Resimplifying inuse:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38 Resimplifying inuse:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38
% 290.94/291.38 Intermediate Status:
% 290.94/291.38 Generated: 1512233
% 290.94/291.38 Kept: 191149
% 290.94/291.38 Inuse: 2320
% 290.94/291.38 Deleted: 6619
% 290.94/291.38 Deletedinuse: 55
% 290.94/291.38
% 290.94/291.38 Resimplifying inuse:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38 Resimplifying inuse:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38
% 290.94/291.38 Intermediate Status:
% 290.94/291.38 Generated: 1551707
% 290.94/291.38 Kept: 193166
% 290.94/291.38 Inuse: 2364
% 290.94/291.38 Deleted: 6619
% 290.94/291.38 Deletedinuse: 55
% 290.94/291.38
% 290.94/291.38 Resimplifying inuse:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38 Resimplifying inuse:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38
% 290.94/291.38 Intermediate Status:
% 290.94/291.38 Generated: 1599252
% 290.94/291.38 Kept: 195198
% 290.94/291.38 Inuse: 2412
% 290.94/291.38 Deleted: 6621
% 290.94/291.38 Deletedinuse: 57
% 290.94/291.38
% 290.94/291.38 Resimplifying inuse:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38 Resimplifying inuse:
% 290.94/291.38 Done
% 290.94/291.38
% 290.94/291.38
% 290.94/291.38 Intermediate Status:
% 290.94/291.38 Generated: 1633963
% 290.94/291.38 Kept: 197270
% 290.94/291.38 Inuse: Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------