TSTP Solution File: SWV883-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV883-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:29:01 EDT 2022
% Result : Timeout 300.04s 300.41s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV883-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Wed Jun 15 04:26:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.89/1.24 *** allocated 10000 integers for termspace/termends
% 0.89/1.24 *** allocated 10000 integers for clauses
% 0.89/1.24 *** allocated 10000 integers for justifications
% 0.89/1.24 *** allocated 15000 integers for termspace/termends
% 0.89/1.24 Bliksem 1.12
% 0.89/1.24
% 0.89/1.24
% 0.89/1.24 Automatic Strategy Selection
% 0.89/1.24
% 0.89/1.24 Clauses:
% 0.89/1.24 [
% 0.89/1.24 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.89/1.24 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.89/1.24 ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.24 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 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_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.89/1.24 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.89/1.24 ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Oplus__class_Oplus'( '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_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.89/1.24 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.24 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 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_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.24 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, 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_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 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_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 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 ) ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.24 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.89/1.24 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.89/1.24 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.89/1.24 ,
% 0.89/1.24 [ =( 'c_HOL_Oplus__class_Oplus'( '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_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.89/1.24 ,
% 0.89/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.24 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.24 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.24 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.89/1.24 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.24 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.89/1.24 [ =( 'c_Suc'( X ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.89/1.24 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.89/1.24 [ =( 'c_Suc'( X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'(
% 0.89/1.24 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.24 'tc_nat' ) ), '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 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.24 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( 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_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.89/1.24 [ 'c_Fun_Oinj__on'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.89/1.24 'tc_bool' ) ), T, U ), ~( 'c_Fun_Oinj__on'( X, Y, T, U ) ) ],
% 0.89/1.24 [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.89/1.24 , 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Ovimage'( X
% 0.89/1.24 , Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) )
% 0.89/1.24 ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.89/1.24 Y, 'tc_nat' ) ), 'tc_nat' ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.89/1.24 X, 'tc_nat' ) ), 'tc_nat' ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.89/1.24 Y, 'tc_nat' ) ), 'tc_nat' ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.89/1.24 'c_Finite__Set_Osetsum'( 'c_COMBK'( 'c_HOL_Ozero__class_Ozero'( X ), X, Y
% 0.89/1.24 ), Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.24 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.89/1.24 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.24 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.89/1.24 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.89/1.24 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) )
% 0.89/1.24 ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.89/1.24 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 0.89/1.24 ],
% 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'( X, Z, 'tc_nat' ),
% 0.89/1.24 Y, 'tc_nat' ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.89/1.24 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) )
% 0.89/1.24 ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.89/1.24 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 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, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 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, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.89/1.24 X ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ],
% 0.89/1.24 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ) ) ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.24 X, T, 'tc_nat' ) ],
% 0.89/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.89/1.24 X ) ) ],
% 0.89/1.24 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 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 ) ) ), =( Y, Z ) ],
% 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, Z, X ) ) ), =( Z,
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.24 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), X ) ), =( Y,
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.24 [ ~( =( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y,
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.89/1.24 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.24 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.89/1.24 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.24 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.24 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.24 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 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_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.89/1.24 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_Suc'(
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.89/1.24 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 0.89/1.24 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( X
% 0.89/1.24 , U ) ) ],
% 0.89/1.24 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 0.89/1.24 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_OrderedGroup_Oab__semigroup__mult'( X
% 0.89/1.24 , U ) ) ],
% 0.89/1.24 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 0.89/1.24 'c_OrderedGroup_Oab__semigroup__mult'( X, T ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.89/1.24 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 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_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.24 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( X, Y, '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_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( X, Y, '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_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.24 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.89/1.24 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__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_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 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 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__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_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.89/1.24 'c_Finite__Set_Osetsum'( Y, Z, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.89/1.24 , 'c_Finite__Set_Ofinite'( Z, T ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.89/1.24 'c_Finite__Set_Osetsum'( Y, Z, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.89/1.24 , 'c_Finite__Set_Ofinite'( Z, T ) ],
% 0.89/1.24 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 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_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.24 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Y, 'tc_nat' ) ) ), =( X
% 0.89/1.24 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.89/1.24 'c_Finite__Set_Osetsum'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ), Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.24 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( '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_HOL_Oord__class_Oless'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ) ]
% 0.89/1.24 ,
% 0.89/1.24 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.89/1.24 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.89/1.24 , X ) ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.24 , Y, X ) ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.24 , Y, X ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__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, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 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 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.89/1.24 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.24 X ), X ) ) ],
% 0.89/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.89/1.24 ), =( Z, Y ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.89/1.24 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.24 ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.24 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.89/1.24 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 0.89/1.24 'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.24 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.24 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.24 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.89/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.89/1.24 ) ],
% 0.89/1.24 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oone__class_Oone'(
% 0.89/1.24 'tc_nat' ), 'tc_nat' ) ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.89/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.24 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 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_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.89/1.24 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 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_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.24 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 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_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.89/1.24 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.89/1.24 ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.89/1.24 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.24 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y, X
% 0.89/1.24 , 'tc_nat' ), 'tc_nat' ) ) ],
% 0.89/1.24 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.89/1.24 ), 'tc_nat' ) ) ],
% 0.89/1.24 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.89/1.24 ), 'tc_nat' ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.24 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.89/1.24 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.24 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( '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' ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.24 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( 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_lessequals'(
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.89/1.24 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.89/1.24 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.89/1.24 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.89/1.24 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 0.89/1.24 ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.89/1.24 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.89/1.24 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( X, Y, '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_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( X, Y, '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_Osemiring__1'( X ) ), =(
% 0.89/1.24 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Suc'( Y ), X ),
% 0.89/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( 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' ),
% 0.89/1.24 'c_Suc'( X ), 'tc_nat' ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.89/1.24 'c_Suc'( X ), 'tc_nat' ) ],
% 0.89/1.24 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.89/1.24 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.24 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__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_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__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, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.89/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.24 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__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, 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 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.24 , Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.89/1.24 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, T,
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.89/1.24 [ 'c_in'( X, Y, Z ), ~( '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 ) ) ), ~( 'c_in'( Z, T, U ) ), ~(
% 0.89/1.24 'c_in'( Y, T, U ) ), =( Y, Z ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ) ]
% 0.89/1.24 ,
% 0.89/1.24 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_in'( Z, T, U ) ), ~(
% 0.89/1.24 'c_in'( Y, T, U ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ), =( Y, Z ) ]
% 0.89/1.24 ,
% 0.89/1.24 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_in'( Z, T, U ) ), ~(
% 0.89/1.24 'c_in'( Y, T, U ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ), =( Y, Z ) ]
% 0.89/1.24 ,
% 0.89/1.24 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 0.89/1.24 ) ), =( Y, Z ), ~( 'c_in'( Z, T, U ) ), ~( 'c_in'( Y, T, U ) ) ],
% 0.89/1.24 [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool'
% 0.89/1.24 ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.89/1.24 [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool'
% 0.89/1.24 ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.89/1.24 [ 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ), ~( 'c_in'( hAPP( Y, X )
% 0.89/1.24 , Z, U ) ) ],
% 0.89/1.24 [ 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ), ~( 'c_in'( hAPP( Y, X )
% 0.89/1.24 , Z, U ) ) ],
% 0.89/1.24 [ 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ), ~( 'c_in'( hAPP( Y, X )
% 0.89/1.24 , Z, U ) ) ],
% 0.89/1.24 [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, 'c_Set_Ovimage'( X, Z, U,
% 0.89/1.24 T ), U ) ) ],
% 0.89/1.24 [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, 'c_Set_Ovimage'( X, Z, U,
% 0.89/1.24 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 [ =( X, 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.24 'c_HOL_Oone__class_Oone'( '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_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_HOL_Oord__class_Oless'( Y, T, 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, T, 'tc_nat' ), 'tc_nat' ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) ), ~(
% 0.89/1.24 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 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 ) ), 'c_in'( Z, T, U ), ~( 'c_Finite__Set_Ofinite'( T, U ) ) ]
% 0.89/1.24 ,
% 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 ) ), ~( 'c_in'( Y, X, Z ) ), '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' ) ), ~( 'c_in'( Y, X, T ) ), ~( 'c_HOL_Oord__class_Oless'(
% 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' ) ) ), 'c_in'( Y, Z, T ) ]
% 0.89/1.24 ,
% 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_in'( Y, X, T ) ), ~( 'c_HOL_Oord__class_Oless'(
% 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_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 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 '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' ) ) ), ~( 'c_in'( X, T, Z ) ) ],
% 0.89/1.24 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_in'(
% 0.89/1.24 T, Y, Z ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( T, Y, Z )
% 0.89/1.24 , '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_in'( Y, Z, T ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 0.89/1.24 , Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ 'c_in'( X, 'c_Inductive_Ocomplete__lattice__class_Ogfp'( Y, 'tc_fun'(
% 0.89/1.24 Z, 'tc_bool' ) ), Z ), ~( 'c_lessequals'( T, hAPP( Y, T ), 'tc_fun'( Z,
% 0.89/1.24 'tc_bool' ) ) ), ~( '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 ) ), 'c_in'( T, Z, U ), ~(
% 0.89/1.24 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( X, Y ) ), ~( '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 ) ) ), 'c_in'( Y, Z, T ) ],
% 0.89/1.24 [ ~( '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, 'c_Set_Oinsert'(
% 0.89/1.24 Y, Z, T ), T, U ) ) ],
% 0.89/1.24 [ 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ), 'c_in'( hAPP(
% 0.89/1.24 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 [ '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 [ ~( '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' ) ) ), 'c_in'( X,
% 0.89/1.24 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 ) ), ~( 'c_in'(
% 0.89/1.24 U, Z, T ) ), ~( 'c_Finite__Set_Ofinite'( Z, T ) ) ],
% 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 [ =( '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 ) ), ~( 'c_in'( T, Z, U ) ), ~( 'c_Finite__Set_Ofinite'( Z, U )
% 0.89/1.24 ) ],
% 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 ) ), ~( 'c_in'( T
% 0.89/1.24 , 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 'c_in'( T, X, Z ) ), ~( 'c_in'( Y, X, Z ) ), ~( 'c_Finite__Set_Ofinite'(
% 0.89/1.24 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 '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' ) ), 'c_in'( Y, Z, T ),
% 0.89/1.24 ~( 'c_in'( Y, X, T ) ), ~( 'c_Finite__Set_Ofinite'( X, T ) ) ],
% 0.89/1.24 [ 'v_wt'( 'c_Option_Othe'( 'c_Com_Obody'( X ), 'tc_Com_Ocom' ) ), ~(
% 0.89/1.24 '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 ), ~( 'c_in'( Z, Y, X
% 0.89/1.24 ) ), ~( '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 ), ~( 'c_in'( Y, Z, X )
% 0.89/1.24 ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.89/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), '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 ) ), '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 ), 'c_in'( X, Y, Z ) ]
% 0.89/1.24 ,
% 0.89/1.24 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_in'( X, Y, Z ), ~(
% 0.89/1.24 'c_OrderedGroup_Oab__semigroup__mult'( T, U ) ) ],
% 0.89/1.24 [ '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 ), ~( '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 ), ~( 'c_in'( X, Y
% 0.89/1.24 , Z ) ) ],
% 0.89/1.24 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_in'( T, X, Z ),
% 0.89/1.24 'c_in'( T, Y, Z ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( T, Y
% 0.89/1.24 , 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 'c_in'( Y, X, T ), '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 'c_in'( Y, X, T ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T,
% 0.89/1.24 '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' ) ), 'c_in'( 'c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1'(
% 0.89/1.24 Y, U, X, Z, T ), Y, Z ) ],
% 0.89/1.24 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 0.89/1.24 'tc_bool' ) ), ~( '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' ) ), '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 [ 'c_in'( hAPP( X, Y ), 'c_Inductive_Ocomplete__lattice__class_Ogfp'( Z
% 0.89/1.24 , 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_lessequals'( 'c_Set_Oimage'( X,
% 0.89/1.24 U, W, T ), hAPP( Z, 'c_Set_Oimage'( X, U, W, T ) ), 'tc_fun'( T,
% 0.89/1.24 'tc_bool' ) ) ), ~( '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' ) ), ~( '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' ) ), ~( 'c_in'( Y, X, Z )
% 0.89/1.24 ), ~( '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 ) ), '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' ) ), ~( 'c_in'( Y, X, Z ) ),
% 0.89/1.24 ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z, 'tc_bool'
% 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_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 ) ), ~( '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 'c_in'( U, T, Z ) ) ],
% 0.89/1.24 [ 'c_in'( X, Y, Z ), =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X, Y, Z
% 0.89/1.24 ), 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 ) ), '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 ) ), ~( '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 ), 'c_in'( 'v_sko__local__Xassms__3__1'( X, 'v_P', 'v_U', 'v_mgt__call'
% 0.89/1.24 ), 'v_U', 'tc_Com_Opname' ), ~( 'v_wt'( Y ) ) ],
% 0.89/1.24 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.89/1.24 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 0.89/1.24 '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 [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.24 ), ~( 'c_in'( X, T, Z ) ) ],
% 0.89/1.24 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 0.89/1.24 '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 [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 0.89/1.24 ,
% 0.89/1.24 [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 0.89/1.24 ,
% 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 [ '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 [ ~( '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 [ ~( '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 [ ~( =( 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' ) ) ), ~( 'c_in'( X
% 0.89/1.24 , 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 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.89/1.24 ), Y ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.24 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.89/1.24 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.89/1.24 ), Y ) ) ],
% 0.89/1.24 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.89/1.24 ), 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 ) ), ~( 'c_in'( X, Y, Z ) ), ~(
% 0.89/1.24 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 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 [ 'c_in'( X, Y, Z ), =( X, T ), ~( 'c_in'( X, 'c_Set_Oinsert'( T, Y, Z )
% 0.89/1.24 , 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 [ '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 [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, U, W ) ), ~(
% 0.89/1.24 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T, 'tc_bool' )
% 0.89/1.24 ) ) ],
% 0.89/1.24 [ =( X, Y ), ~( '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 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.89/1.24 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.89/1.24 [ '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 [ 'c_in'( X, Y, Z ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.89/1.24 [ hBOOL( hAPP( X, Y ) ), ~( '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 ) ) ), 'c_in'( X, Y, Z ), ~(
% 0.89/1.24 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.89/1.24 [ 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.24 , 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 ) ) ), ~( 'c_in'( Y,
% 0.89/1.24 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 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' ) ) ) ), 'c_in'( X, Y, Z ) ],
% 0.89/1.24 [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T, Z ), Y,
% 0.89/1.24 '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 ) ), ~( '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' ) ) ), 'c_in'( Y, X
% 0.89/1.24 , T ) ],
% 0.89/1.24 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_in'( T, X, Z ),
% 0.89/1.24 ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool'
% 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' ) ) ), 'c_in'( Y, X
% 0.89/1.24 , 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' ) ) ), 'c_in'( T, X
% 0.89/1.24 , Z ) ],
% 0.89/1.24 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 0.89/1.24 'c_in'( X, T, Z ), '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 ), ~( 'c_in'( X, Y, Z ) ) ],
% 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 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 0.89/1.24 , U ), U ) ],
% 0.89/1.24 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 0.89/1.24 , U ), U ) ],
% 0.89/1.24 [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.89/1.24 , Z, T ) ) ],
% 0.89/1.24 [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.89/1.24 , 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 [ 'c_in'( 'v_pn', 'v_U', 'tc_Com_Opname' ) ],
% 0.89/1.24 [ ~( 'c_in'( hAPP( 'v_mgt__call', 'v_pn' ), 'v_G', 't_a' ) ) ],
% 0.89/1.24 [ ~( hBOOL( hAPP( hAPP( 'v_P', 'v_G' ), 'c_Set_Oinsert'( hAPP(
% 0.89/1.24 'v_mgt__call', 'v_pn' ), '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_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_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_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 = 0.224125, percentage horn = 0.865922
% 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
% 0.89/1.24 termaposteriori = 0
% 0.89/1.24 demodaposteriori = 0
% 0.89/1.24 ordereqreflfact = 0
% 0.89/1.24
% 0.89/1.24 litselect = negord
% 0.89/1.24
% 0.89/1.24 maxweight = 15
% 0.89/1.24 maxdepth = 30000
% 0.89/1.24 maxlength = 115
% 0.89/1.24 maxnrvars = 195
% 0.89/1.24 excuselevel = 1
% 0.89/1.24 increasemaxweight = 1
% 0.89/1.24
% 0.89/1.24 maxselected = 10000000
% 0.89/1.24 maxnrclauses = 10000000
% 0.89/1.24
% 0.89/1.24 showgenerated = 0
% 0.89/1.24 showkept = 0
% 0.89/1.24 showselected = 0
% 0.89/1.24 showdeleted = 0
% 0.89/1.24 showresimp = 1
% 0.89/1.24 showstatus = 2000
% 0.89/1.24
% 0.89/1.24 prologoutput = 1
% 0.89/1.24 nrgoals = 5000000
% 0.89/1.24 totalproof = 1
% 0.89/1.24
% 0.89/1.24 Symbols occurring in the translation:
% 0.89/1.24
% 0.89/1.24 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.89/1.24 . [1, 2] (w:1, o:108, a:1, s:1, b:0),
% 0.89/1.24 ! [4, 1] (w:0, o:65, a:1, s:1, b:0),
% 0.89/1.24 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.89/1.24 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.89/1.24 'class_OrderedGroup_Oab__semigroup__add' [40, 1] (w:1, o:71, a:1, s:1
% 0.89/1.24 , b:0),
% 0.89/1.24 'c_HOL_Oplus__class_Oplus' [43, 3] (w:1, o:145, a:1, s:1, b:0),
% 0.89/1.24 'class_OrderedGroup_Ocomm__monoid__add' [45, 1] (w:1, o:72, a:1, s:1
% 0.89/1.24 , b:0),
% 0.89/1.24 'tc_nat' [48, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.89/1.24 'class_OrderedGroup_Oab__group__add' [53, 1] (w:1, o:73, a:1, s:1, b:
% 0.89/1.24 0),
% 0.89/1.24 'class_Ring__and__Field_Ocomm__semiring__1' [54, 1] (w:1, o:74, a:1
% 0.89/1.24 , s:1, b:0),
% 0.89/1.24 'class_Orderings_Oorder' [55, 1] (w:1, o:75, a:1, s:1, b:0),
% 0.89/1.24 'c_HOL_Oord__class_Oless' [56, 3] (w:1, o:144, a:1, s:1, b:0),
% 0.89/1.24 'tc_bool' [59, 0] (w:1, o:28, a:1, s:1, b:0),
% 0.89/1.24 'tc_fun' [60, 2] (w:1, o:133, a:1, s:1, b:0),
% 0.89/1.24 'class_Orderings_Opreorder' [62, 1] (w:1, o:76, a:1, s:1, b:0),
% 0.89/1.24 'class_OrderedGroup_Opordered__comm__monoid__add' [63, 1] (w:1, o:77
% 0.89/1.24 , a:1, s:1, b:0),
% 0.89/1.24 'c_HOL_Ozero__class_Ozero' [64, 1] (w:1, o:78, a:1, s:1, b:0),
% 0.89/1.24 'c_lessequals' [65, 3] (w:1, o:146, a:1, s:1, b:0),
% 0.89/1.24 'class_OrderedGroup_Olordered__ab__group__add' [66, 1] (w:1, o:79, a:
% 0.89/1.24 1, s:1, b:0),
% 0.89/1.24 'c_Suc' [67, 1] (w:1, o:80, a:1, s:1, b:0),
% 6.36/6.76 'c_HOL_Oone__class_Oone' [68, 1] (w:1, o:81, a:1, s:1, b:0),
% 6.36/6.76 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [69, 1]
% 6.36/6.76 (w:1, o:82, a:1, s:1, b:0),
% 6.36/6.76 'c_HOL_Ominus__class_Ominus' [71, 3] (w:1, o:147, a:1, s:1, b:0),
% 6.36/6.76 'c_Fun_Oinj__on' [73, 4] (w:1, o:154, a:1, s:1, b:0),
% 6.36/6.76 'c_Set_Ovimage' [74, 4] (w:1, o:155, a:1, s:1, b:0),
% 6.36/6.76 'c_COMBK' [76, 3] (w:1, o:148, a:1, s:1, b:0),
% 6.36/6.76 'c_Finite__Set_Osetsum' [77, 4] (w:1, o:156, a:1, s:1, b:0),
% 6.36/6.76 'class_Nat_Osemiring__char__0' [80, 1] (w:1, o:70, a:1, s:1, b:0),
% 6.36/6.76 'c_Nat_Osemiring__1__class_Oof__nat' [81, 2] (w:1, o:134, a:1, s:1
% 6.36/6.76 , b:0),
% 6.36/6.76 'class_Ring__and__Field_Oidom' [82, 1] (w:1, o:83, a:1, s:1, b:0),
% 6.36/6.76 'class_Int_Onumber__ring' [83, 1] (w:1, o:85, a:1, s:1, b:0),
% 6.36/6.76 hAPP [85, 2] (w:1, o:135, a:1, s:1, b:0),
% 6.36/6.76 'c_OrderedGroup_Oab__semigroup__mult' [86, 2] (w:1, o:136, a:1, s:1
% 6.36/6.76 , b:0),
% 6.36/6.76 'class_Ring__and__Field_Oordered__idom' [87, 1] (w:1, o:86, a:1, s:1
% 6.36/6.76 , b:0),
% 6.36/6.76 'class_Ring__and__Field_Oordered__semidom' [88, 1] (w:1, o:87, a:1
% 6.36/6.76 , s:1, b:0),
% 6.36/6.76 'class_Ring__and__Field_Ozero__neq__one' [89, 1] (w:1, o:88, a:1, s:1
% 6.36/6.76 , b:0),
% 6.36/6.76 'c_Finite__Set_Ofinite' [90, 2] (w:1, o:137, a:1, s:1, b:0),
% 6.36/6.76 'c_Orderings_Obot__class_Obot' [91, 1] (w:1, o:89, a:1, s:1, b:0),
% 6.36/6.76 'class_Orderings_Olinorder' [92, 1] (w:1, o:90, a:1, s:1, b:0),
% 6.36/6.76 hBOOL [94, 1] (w:1, o:91, a:1, s:1, b:0),
% 6.36/6.76 'class_Ring__and__Field_Osemiring__1' [98, 1] (w:1, o:94, a:1, s:1
% 6.36/6.76 , b:0),
% 6.36/6.76 'class_OrderedGroup_Ocancel__ab__semigroup__add' [99, 1] (w:1, o:95
% 6.36/6.76 , a:1, s:1, b:0),
% 6.36/6.76 'class_OrderedGroup_Ocancel__semigroup__add' [100, 1] (w:1, o:96, a:1
% 6.36/6.76 , s:1, b:0),
% 6.36/6.76 'class_OrderedGroup_Omonoid__add' [101, 1] (w:1, o:97, a:1, s:1, b:0)
% 6.36/6.76 ,
% 6.36/6.76 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [102, 1]
% 6.36/6.76 (w:1, o:98, a:1, s:1, b:0),
% 6.36/6.76 'c_in' [103, 3] (w:1, o:149, a:1, s:1, b:0),
% 6.36/6.76 'class_OrderedGroup_Opordered__ab__group__add' [105, 1] (w:1, o:99
% 6.36/6.76 , a:1, s:1, b:0),
% 6.36/6.76 'class_Complete__Lattice_Ocomplete__lattice' [106, 1] (w:1, o:100, a:
% 6.36/6.76 1, s:1, b:0),
% 6.36/6.76 'c_Inductive_Ocomplete__lattice__class_Ogfp' [108, 2] (w:1, o:138, a:
% 6.36/6.76 1, s:1, b:0),
% 6.36/6.76 'class_OrderedGroup_Opordered__ab__semigroup__add' [109, 1] (w:1, o:
% 6.36/6.76 101, a:1, s:1, b:0),
% 6.36/6.76 'c_Set_Oinsert' [111, 3] (w:1, o:150, a:1, s:1, b:0),
% 6.36/6.76 'c_Finite__Set_Ocard' [112, 2] (w:1, o:139, a:1, s:1, b:0),
% 6.36/6.76 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1' [113, 3
% 6.36/6.76 ] (w:1, o:151, a:1, s:1, b:0),
% 6.36/6.76 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2' [114, 3
% 6.36/6.76 ] (w:1, o:152, a:1, s:1, b:0),
% 6.36/6.76 'c_Set_Oimage' [115, 4] (w:1, o:157, a:1, s:1, b:0),
% 6.36/6.76 'c_Finite__Set_Olinorder__class_OMax' [116, 2] (w:1, o:140, a:1, s:1
% 6.36/6.76 , b:0),
% 6.36/6.76 'c_Finite__Set_Olinorder__class_OMin' [117, 2] (w:1, o:141, a:1, s:1
% 6.36/6.76 , b:0),
% 6.36/6.76 'class_OrderedGroup_Ogroup__add' [120, 1] (w:1, o:102, a:1, s:1, b:0)
% 6.36/6.76 ,
% 6.36/6.76 'class_HOL_Oord' [122, 1] (w:1, o:84, a:1, s:1, b:0),
% 6.36/6.76 'class_Ring__and__Field_Oring' [125, 1] (w:1, o:92, a:1, s:1, b:0),
% 6.36/6.76 'c_Com_Obody' [127, 1] (w:1, o:103, a:1, s:1, b:0),
% 6.36/6.76 'tc_Com_Ocom' [128, 0] (w:1, o:47, a:1, s:1, b:0),
% 6.36/6.76 'c_Option_Othe' [129, 2] (w:1, o:142, a:1, s:1, b:0),
% 6.36/6.76 'v_wt' [130, 1] (w:1, o:104, a:1, s:1, b:0),
% 6.36/6.76 'v_U' [131, 0] (w:1, o:48, a:1, s:1, b:0),
% 6.36/6.76 'tc_Com_Opname' [132, 0] (w:1, o:49, a:1, s:1, b:0),
% 6.36/6.76 'c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__le__1__1' [135
% 6.36/6.76 , 2] (w:1, o:143, a:1, s:1, b:0),
% 6.36/6.76 'c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1' [136, 5] (w:1, o:159
% 6.36/6.76 , a:1, s:1, b:0),
% 6.36/6.76 'c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1' [137, 5] (w:1
% 6.36/6.76 , o:160, a:1, s:1, b:0),
% 6.36/6.76 'c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1' [138, 5
% 6.36/6.76 ] (w:1, o:161, a:1, s:1, b:0),
% 6.36/6.76 'class_Ring__and__Field_Oring__1' [139, 1] (w:1, o:93, a:1, s:1, b:0)
% 6.36/6.76 ,
% 6.36/6.76 'v_P' [140, 0] (w:1, o:51, a:1, s:1, b:0),
% 6.36/6.76 'v_mgt__call' [142, 0] (w:1, o:53, a:1, s:1, b:0),
% 30.06/30.47 't_a' [143, 0] (w:1, o:54, a:1, s:1, b:0),
% 30.06/30.47 'v_mgt' [144, 1] (w:1, o:105, a:1, s:1, b:0),
% 30.06/30.47 'v_sko__local__Xassms__3__1' [147, 4] (w:1, o:158, a:1, s:1, b:0),
% 30.06/30.47 'class_Orderings_Obot' [151, 1] (w:1, o:106, a:1, s:1, b:0),
% 30.06/30.47 'class_Finite__Set_Ofinite_Ofinite' [154, 1] (w:1, o:107, a:1, s:1
% 30.06/30.47 , b:0),
% 30.06/30.47 'v_G' [155, 0] (w:1, o:59, a:1, s:1, b:0),
% 30.06/30.47 'v_na' [156, 0] (w:1, o:60, a:1, s:1, b:0),
% 30.06/30.47 'v_pn' [157, 0] (w:1, o:61, a:1, s:1, b:0),
% 30.06/30.47 'c_fequal' [160, 3] (w:1, o:153, a:1, s:1, b:0).
% 30.06/30.47
% 30.06/30.47
% 30.06/30.47 Starting Search:
% 30.06/30.47
% 30.06/30.47 Resimplifying inuse:
% 30.06/30.47 Done
% 30.06/30.47
% 30.06/30.47
% 30.06/30.47 Intermediate Status:
% 30.06/30.47 Generated: 5789
% 30.06/30.47 Kept: 2268
% 30.06/30.47 Inuse: 186
% 30.06/30.47 Deleted: 5
% 30.06/30.47 Deletedinuse: 0
% 30.06/30.47
% 30.06/30.47 Resimplifying inuse:
% 30.06/30.47 Done
% 30.06/30.47
% 30.06/30.47 Resimplifying inuse:
% 30.06/30.47 Done
% 30.06/30.47
% 30.06/30.47
% 30.06/30.47 Intermediate Status:
% 30.06/30.47 Generated: 11663
% 30.06/30.47 Kept: 4275
% 30.06/30.47 Inuse: 248
% 30.06/30.47 Deleted: 5
% 30.06/30.47 Deletedinuse: 0
% 30.06/30.47
% 30.06/30.47 Resimplifying inuse:
% 30.06/30.47 Done
% 30.06/30.47
% 30.06/30.47 Resimplifying inuse:
% 30.06/30.47 Done
% 30.06/30.47
% 30.06/30.47
% 30.06/30.47 Intermediate Status:
% 30.06/30.47 Generated: 23169
% 30.06/30.47 Kept: 6290
% 30.06/30.47 Inuse: 319
% 30.06/30.47 Deleted: 5
% 30.06/30.47 Deletedinuse: 0
% 30.06/30.47
% 30.06/30.47 Resimplifying inuse:
% 30.06/30.47 Done
% 30.06/30.47
% 30.06/30.47 Resimplifying inuse:
% 30.06/30.47 Done
% 30.06/30.47
% 30.06/30.47
% 30.06/30.47 Intermediate Status:
% 30.06/30.47 Generated: 37549
% 30.06/30.47 Kept: 8360
% 30.06/30.47 Inuse: 394
% 30.06/30.47 Deleted: 8
% 30.06/30.47 Deletedinuse: 1
% 30.06/30.47
% 30.06/30.47 Resimplifying inuse:
% 30.06/30.47 Done
% 30.06/30.47
% 30.06/30.47
% 30.06/30.47 Intermediate Status:
% 30.06/30.47 Generated: 50018
% 30.06/30.47 Kept: 10374
% 30.06/30.47 Inuse: 423
% 30.06/30.47 Deleted: 9
% 30.06/30.47 Deletedinuse: 1
% 30.06/30.47
% 30.06/30.47 Resimplifying inuse:
% 30.06/30.47 Done
% 30.06/30.47
% 30.06/30.47 Resimplifying inuse:
% 30.06/30.47 Done
% 30.06/30.47
% 30.06/30.47
% 30.06/30.47 Intermediate Status:
% 30.06/30.47 Generated: 66046
% 30.06/30.47 Kept: 12510
% 30.06/30.47 Inuse: 496
% 30.06/30.47 Deleted: 33
% 30.06/30.47 Deletedinuse: 23
% 30.06/30.47
% 30.06/30.47 Resimplifying inuse:
% 30.06/30.47 Done
% 30.06/30.47
% 30.06/30.47 Resimplifying inuse:
% 30.06/30.47 Done
% 30.06/30.47
% 30.06/30.47
% 30.06/30.47 Intermediate Status:
% 30.06/30.47 Generated: 77680
% 30.06/30.47 Kept: 14595
% 30.06/30.47 Inuse: 526
% 30.06/30.47 Deleted: 33
% 30.06/30.47 Deletedinuse: 23
% 30.06/30.47
% 30.06/30.47 Resimplifying inuse:
% 30.06/30.47 Done
% 30.06/30.47
% 30.06/30.47 Resimplifying inuse:
% 30.06/30.47 Done
% 30.06/30.47
% 30.06/30.47
% 30.06/30.47 Intermediate Status:
% 30.06/30.47 Generated: 87612
% 30.06/30.47 Kept: 16719
% 30.06/30.47 Inuse: 551
% 30.06/30.47 Deleted: 39
% 30.06/30.47 Deletedinuse: 29
% 30.06/30.47
% 30.06/30.47 Resimplifying inuse:
% 30.06/30.47 Done
% 30.06/30.47
% 30.06/30.47 Resimplifying inuse:
% 30.06/30.47 Done
% 30.06/30.47
% 30.06/30.47
% 30.06/30.47 Intermediate Status:
% 30.06/30.47 Generated: 99650
% 30.06/30.47 Kept: 18720
% 30.06/30.47 Inuse: 615
% 30.06/30.47 Deleted: 40
% 30.06/30.47 Deletedinuse: 29
% 30.06/30.47
% 30.06/30.47 Resimplifying inuse:
% 30.06/30.47 Done
% 30.06/30.47
% 30.06/30.47 Resimplifying clauses:
% 30.06/30.47 Done
% 30.06/30.47
% 30.06/30.47 Resimplifying inuse:
% 30.06/30.47 Done
% 30.06/30.47
% 30.06/30.47
% 30.06/30.47 Intermediate Status:
% 30.06/30.47 Generated: 111065
% 30.06/30.47 Kept: 20739
% 30.06/30.47 Inuse: 666
% 30.06/30.47 Deleted: 821
% 30.06/30.47 Deletedinuse: 29
% 30.06/30.47
% 30.06/30.47 Resimplifying inuse:
% 30.06/30.47 Done
% 30.06/30.47
% 30.06/30.47 Resimplifying inuse:
% 30.06/30.47 Done
% 30.06/30.47
% 30.06/30.47
% 30.06/30.47 Intermediate Status:
% 30.06/30.47 Generated: 120700
% 30.06/30.47 Kept: 22803
% 30.06/30.47 Inuse: 694
% 30.06/30.47 Deleted: 842
% 30.06/30.47 Deletedinuse: 48
% 30.06/30.47
% 30.06/30.47 Resimplifying inuse:
% 30.06/30.47 Done
% 30.06/30.47
% 30.06/30.47 Resimplifying inuse:
% 30.06/30.47 Done
% 30.06/30.47
% 30.06/30.47
% 30.06/30.47 Intermediate Status:
% 30.06/30.47 Generated: 137289
% 30.06/30.47 Kept: 24859
% 30.06/30.47 Inuse: 739
% 30.06/30.47 Deleted: 847
% 30.06/30.47 Deletedinuse: 53
% 30.06/30.47
% 30.06/30.47 Resimplifying inuse:
% 30.06/30.47 Done
% 30.06/30.47
% 30.06/30.47 Resimplifying inuse:
% 30.06/30.47 Done
% 30.06/30.47
% 30.06/30.47
% 30.06/30.47 Intermediate Status:
% 30.06/30.47 Generated: 150671
% 30.06/30.47 Kept: 26864
% 30.06/30.47 Inuse: 783
% 30.06/30.47 Deleted: 848
% 30.06/30.47 Deletedinuse: 53
% 30.06/30.47
% 30.06/30.47 Resimplifying inuse:
% 30.06/30.47 Done
% 30.06/30.47
% 30.06/30.47 Resimplifying inuse:
% 30.06/30.47 Done
% 30.06/30.47
% 30.06/30.47
% 30.06/30.47 Intermediate Status:
% 30.06/30.47 Generated: 161866
% 30.06/30.47 Kept: 28979
% 30.06/30.47 Inuse: 822
% 30.06/30.47 Deleted: 855
% 30.06/30.47 Deletedinuse: 54
% 30.06/30.47
% 30.06/30.47 Resimplifying inuse:
% 30.06/30.47 Done
% 30.06/30.47
% 30.06/30.47
% 30.06/30.47 Intermediate Status:
% 30.06/30.47 Generated: 171894
% 30.06/30.47 Kept: 31068
% 30.06/30.47 Inuse: 847
% 30.06/30.47 Deleted: 855
% 30.06/30.47 Deletedinuse: 54
% 30.06/30.47
% 30.06/30.47 Resimplifying inuse:
% 30.06/30.48 Done
% 30.06/30.48
% 30.06/30.48 Resimplifying inuse:
% 30.06/30.48 Done
% 30.06/30.48
% 30.06/30.48
% 30.06/30.48 Intermediate Status:
% 30.06/30.48 Generated: 182412
% 30.06/30.48 Kept: 33132
% 30.06/30.48 Inuse: 887
% 30.06/30.48 Deleted: 855
% 30.06/30.48 Deletedinuse: 54
% 30.06/30.48
% 30.06/30.48 Resimplifying inuse:
% 30.06/30.48 Done
% 30.06/30.48
% 30.06/30.48 Resimplifying inuse:
% 30.06/30.48 Done
% 30.06/30.48
% 30.06/30.48
% 30.06/30.48 Intermediate Status:
% 30.06/30.48 Generated: 191575
% 30.06/30.48 Kept: 35246
% 30.06/30.48 Inuse: 937
% 30.06/30.48 Deleted: 856
% 30.06/30.48 Deletedinuse: 55
% 30.06/30.48
% 30.06/30.48 Resimplifying inuse:
% 30.06/30.48 Done
% 30.06/30.48
% 30.06/30.48
% 30.06/30.48 Intermediate Status:
% 30.06/30.48 Generated: 205146
% 30.06/30.48 Kept: 38051
% 30.06/30.48 Inuse: 967
% 30.06/30.48 Deleted: 857
% 30.06/30.48 Deletedinuse: 56
% 30.06/30.48
% 30.06/30.48 Resimplifying inuse:
% 30.06/30.48 Done
% 30.06/30.48
% 30.06/30.48 Resimplifying inuse:
% 30.06/30.48 Done
% 30.06/30.48
% 30.06/30.48
% 30.06/30.48 Intermediate Status:
% 30.06/30.48 Generated: 219957
% 30.06/30.48 Kept: 40084
% 30.06/30.48 Inuse: 1006
% 30.06/30.48 Deleted: 857
% 30.06/30.48 Deletedinuse: 56
% 30.06/30.48
% 30.06/30.48 Resimplifying clauses:
% 30.06/30.48 Done
% 30.06/30.48
% 30.06/30.48 Resimplifying inuse:
% 30.06/30.48 Done
% 30.06/30.48
% 30.06/30.48 Resimplifying inuse:
% 30.06/30.48 Done
% 30.06/30.48
% 30.06/30.48
% 30.06/30.48 Intermediate Status:
% 30.06/30.48 Generated: 234118
% 30.06/30.48 Kept: 42097
% 30.06/30.48 Inuse: 1056
% 30.06/30.48 Deleted: 1687
% 30.06/30.48 Deletedinuse: 57
% 30.06/30.48
% 30.06/30.48 Resimplifying inuse:
% 30.06/30.48 Done
% 30.06/30.48
% 30.06/30.48 Resimplifying inuse:
% 30.06/30.48 Done
% 30.06/30.48
% 30.06/30.48
% 30.06/30.48 Intermediate Status:
% 30.06/30.48 Generated: 249606
% 30.06/30.48 Kept: 45520
% 30.06/30.48 Inuse: 1076
% 30.06/30.48 Deleted: 1688
% 30.06/30.48 Deletedinuse: 57
% 30.06/30.48
% 30.06/30.48 Resimplifying inuse:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62 Resimplifying inuse:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62
% 96.22/96.62 Intermediate Status:
% 96.22/96.62 Generated: 257912
% 96.22/96.62 Kept: 47665
% 96.22/96.62 Inuse: 1088
% 96.22/96.62 Deleted: 1691
% 96.22/96.62 Deletedinuse: 57
% 96.22/96.62
% 96.22/96.62 Resimplifying inuse:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62 Resimplifying inuse:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62
% 96.22/96.62 Intermediate Status:
% 96.22/96.62 Generated: 276737
% 96.22/96.62 Kept: 51139
% 96.22/96.62 Inuse: 1135
% 96.22/96.62 Deleted: 1694
% 96.22/96.62 Deletedinuse: 57
% 96.22/96.62
% 96.22/96.62 Resimplifying inuse:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62 Resimplifying inuse:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62
% 96.22/96.62 Intermediate Status:
% 96.22/96.62 Generated: 287096
% 96.22/96.62 Kept: 53233
% 96.22/96.62 Inuse: 1164
% 96.22/96.62 Deleted: 1695
% 96.22/96.62 Deletedinuse: 57
% 96.22/96.62
% 96.22/96.62 Resimplifying inuse:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62
% 96.22/96.62 Intermediate Status:
% 96.22/96.62 Generated: 298779
% 96.22/96.62 Kept: 57221
% 96.22/96.62 Inuse: 1180
% 96.22/96.62 Deleted: 1695
% 96.22/96.62 Deletedinuse: 57
% 96.22/96.62
% 96.22/96.62 Resimplifying inuse:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62 Resimplifying inuse:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62
% 96.22/96.62 Intermediate Status:
% 96.22/96.62 Generated: 311658
% 96.22/96.62 Kept: 59283
% 96.22/96.62 Inuse: 1199
% 96.22/96.62 Deleted: 1695
% 96.22/96.62 Deletedinuse: 57
% 96.22/96.62
% 96.22/96.62 Resimplifying inuse:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62 Resimplifying clauses:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62 Resimplifying inuse:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62
% 96.22/96.62 Intermediate Status:
% 96.22/96.62 Generated: 325598
% 96.22/96.62 Kept: 61567
% 96.22/96.62 Inuse: 1239
% 96.22/96.62 Deleted: 2251
% 96.22/96.62 Deletedinuse: 57
% 96.22/96.62
% 96.22/96.62
% 96.22/96.62 Intermediate Status:
% 96.22/96.62 Generated: 336644
% 96.22/96.62 Kept: 63961
% 96.22/96.62 Inuse: 1249
% 96.22/96.62 Deleted: 2251
% 96.22/96.62 Deletedinuse: 57
% 96.22/96.62
% 96.22/96.62 Resimplifying inuse:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62
% 96.22/96.62 Intermediate Status:
% 96.22/96.62 Generated: 347679
% 96.22/96.62 Kept: 66583
% 96.22/96.62 Inuse: 1269
% 96.22/96.62 Deleted: 2251
% 96.22/96.62 Deletedinuse: 57
% 96.22/96.62
% 96.22/96.62 Resimplifying inuse:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62 Resimplifying inuse:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62
% 96.22/96.62 Intermediate Status:
% 96.22/96.62 Generated: 370757
% 96.22/96.62 Kept: 69172
% 96.22/96.62 Inuse: 1304
% 96.22/96.62 Deleted: 2251
% 96.22/96.62 Deletedinuse: 57
% 96.22/96.62
% 96.22/96.62 Resimplifying inuse:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62 Resimplifying inuse:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62
% 96.22/96.62 Intermediate Status:
% 96.22/96.62 Generated: 386203
% 96.22/96.62 Kept: 71223
% 96.22/96.62 Inuse: 1339
% 96.22/96.62 Deleted: 2253
% 96.22/96.62 Deletedinuse: 59
% 96.22/96.62
% 96.22/96.62 Resimplifying inuse:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62 Resimplifying inuse:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62
% 96.22/96.62 Intermediate Status:
% 96.22/96.62 Generated: 401808
% 96.22/96.62 Kept: 73335
% 96.22/96.62 Inuse: 1378
% 96.22/96.62 Deleted: 2255
% 96.22/96.62 Deletedinuse: 60
% 96.22/96.62
% 96.22/96.62 Resimplifying inuse:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62 Resimplifying inuse:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62
% 96.22/96.62 Intermediate Status:
% 96.22/96.62 Generated: 412377
% 96.22/96.62 Kept: 75387
% 96.22/96.62 Inuse: 1398
% 96.22/96.62 Deleted: 2255
% 96.22/96.62 Deletedinuse: 60
% 96.22/96.62
% 96.22/96.62 Resimplifying inuse:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62 Resimplifying inuse:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62
% 96.22/96.62 Intermediate Status:
% 96.22/96.62 Generated: 428670
% 96.22/96.62 Kept: 78231
% 96.22/96.62 Inuse: 1418
% 96.22/96.62 Deleted: 2258
% 96.22/96.62 Deletedinuse: 63
% 96.22/96.62
% 96.22/96.62 Resimplifying inuse:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62 Resimplifying inuse:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62
% 96.22/96.62 Intermediate Status:
% 96.22/96.62 Generated: 441994
% 96.22/96.62 Kept: 80283
% 96.22/96.62 Inuse: 1438
% 96.22/96.62 Deleted: 2262
% 96.22/96.62 Deletedinuse: 67
% 96.22/96.62
% 96.22/96.62 Resimplifying clauses:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62 Resimplifying inuse:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62
% 96.22/96.62 Intermediate Status:
% 96.22/96.62 Generated: 457122
% 96.22/96.62 Kept: 83252
% 96.22/96.62 Inuse: 1456
% 96.22/96.62 Deleted: 2920
% 96.22/96.62 Deletedinuse: 68
% 96.22/96.62
% 96.22/96.62 Resimplifying inuse:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62 Resimplifying inuse:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62
% 96.22/96.62 Intermediate Status:
% 96.22/96.62 Generated: 468305
% 96.22/96.62 Kept: 85428
% 96.22/96.62 Inuse: 1478
% 96.22/96.62 Deleted: 2920
% 96.22/96.62 Deletedinuse: 68
% 96.22/96.62
% 96.22/96.62 Resimplifying inuse:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62 Resimplifying inuse:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62
% 96.22/96.62 Intermediate Status:
% 96.22/96.62 Generated: 481138
% 96.22/96.62 Kept: 87493
% 96.22/96.62 Inuse: 1493
% 96.22/96.62 Deleted: 2920
% 96.22/96.62 Deletedinuse: 68
% 96.22/96.62
% 96.22/96.62 Resimplifying inuse:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62 Resimplifying inuse:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62
% 96.22/96.62 Intermediate Status:
% 96.22/96.62 Generated: 501170
% 96.22/96.62 Kept: 90487
% 96.22/96.62 Inuse: 1523
% 96.22/96.62 Deleted: 2920
% 96.22/96.62 Deletedinuse: 68
% 96.22/96.62
% 96.22/96.62 Resimplifying inuse:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62 Resimplifying inuse:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62
% 96.22/96.62 Intermediate Status:
% 96.22/96.62 Generated: 512551
% 96.22/96.62 Kept: 92913
% 96.22/96.62 Inuse: 1543
% 96.22/96.62 Deleted: 2920
% 96.22/96.62 Deletedinuse: 68
% 96.22/96.62
% 96.22/96.62 Resimplifying inuse:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62 Resimplifying inuse:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62
% 96.22/96.62 Intermediate Status:
% 96.22/96.62 Generated: 523855
% 96.22/96.62 Kept: 95174
% 96.22/96.62 Inuse: 1553
% 96.22/96.62 Deleted: 2920
% 96.22/96.62 Deletedinuse: 68
% 96.22/96.62
% 96.22/96.62 Resimplifying inuse:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62 Resimplifying inuse:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62
% 96.22/96.62 Intermediate Status:
% 96.22/96.62 Generated: 541353
% 96.22/96.62 Kept: 99806
% 96.22/96.62 Inuse: 1564
% 96.22/96.62 Deleted: 2920
% 96.22/96.62 Deletedinuse: 68
% 96.22/96.62
% 96.22/96.62 Resimplifying inuse:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62 Resimplifying clauses:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62 Resimplifying inuse:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62
% 96.22/96.62 Intermediate Status:
% 96.22/96.62 Generated: 557702
% 96.22/96.62 Kept: 101815
% 96.22/96.62 Inuse: 1591
% 96.22/96.62 Deleted: 3167
% 96.22/96.62 Deletedinuse: 68
% 96.22/96.62
% 96.22/96.62 Resimplifying inuse:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62 Resimplifying inuse:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62
% 96.22/96.62 Intermediate Status:
% 96.22/96.62 Generated: 572202
% 96.22/96.62 Kept: 104495
% 96.22/96.62 Inuse: 1612
% 96.22/96.62 Deleted: 3170
% 96.22/96.62 Deletedinuse: 70
% 96.22/96.62
% 96.22/96.62 Resimplifying inuse:
% 96.22/96.62 Done
% 96.22/96.62
% 96.22/96.62
% 96.22/96.62 Intermediate Status:
% 96.22/96.62 Generated: 582615
% 96.22/96.62 Kept: 107712
% 96.22/96.62 Inuse: 1620
% 96.22/96.62 Deleted: 3171
% 96.22/96.62 Deletedinuse: 71
% 96.22/96.62
% 96.22/96.62 Resimplifying inuse:
% 96.22/96.62 Done
% 208.81/209.22
% 208.81/209.22 Resimplifying inuse:
% 208.81/209.22 Done
% 208.81/209.22
% 208.81/209.22
% 208.81/209.22 Intermediate Status:
% 208.81/209.22 Generated: 602636
% 208.81/209.22 Kept: 110663
% 208.81/209.22 Inuse: 1647
% 208.81/209.22 Deleted: 3171
% 208.81/209.22 Deletedinuse: 71
% 208.81/209.22
% 208.81/209.22 Resimplifying inuse:
% 208.81/209.22 Done
% 208.81/209.22
% 208.81/209.22
% 208.81/209.22 Intermediate Status:
% 208.81/209.22 Generated: 620123
% 208.81/209.22 Kept: 112885
% 208.81/209.22 Inuse: 1652
% 208.81/209.22 Deleted: 3173
% 208.81/209.22 Deletedinuse: 73
% 208.81/209.22
% 208.81/209.22 Resimplifying inuse:
% 208.81/209.22 Done
% 208.81/209.22
% 208.81/209.22 Resimplifying inuse:
% 208.81/209.22 Done
% 208.81/209.22
% 208.81/209.22
% 208.81/209.22 Intermediate Status:
% 208.81/209.22 Generated: 634744
% 208.81/209.22 Kept: 115115
% 208.81/209.22 Inuse: 1677
% 208.81/209.22 Deleted: 3173
% 208.81/209.22 Deletedinuse: 73
% 208.81/209.22
% 208.81/209.22 Resimplifying inuse:
% 208.81/209.22 Done
% 208.81/209.22
% 208.81/209.22 Resimplifying inuse:
% 208.81/209.22 Done
% 208.81/209.22
% 208.81/209.22
% 208.81/209.22 Intermediate Status:
% 208.81/209.22 Generated: 647458
% 208.81/209.22 Kept: 117129
% 208.81/209.22 Inuse: 1689
% 208.81/209.22 Deleted: 3173
% 208.81/209.22 Deletedinuse: 73
% 208.81/209.22
% 208.81/209.22 Resimplifying inuse:
% 208.81/209.22 Done
% 208.81/209.22
% 208.81/209.22 Resimplifying inuse:
% 208.81/209.22 Done
% 208.81/209.22
% 208.81/209.22
% 208.81/209.22 Intermediate Status:
% 208.81/209.22 Generated: 665973
% 208.81/209.22 Kept: 119988
% 208.81/209.22 Inuse: 1712
% 208.81/209.22 Deleted: 3173
% 208.81/209.22 Deletedinuse: 73
% 208.81/209.22
% 208.81/209.22 Resimplifying inuse:
% 208.81/209.22 Done
% 208.81/209.22
% 208.81/209.22
% 208.81/209.22 Intermediate Status:
% 208.81/209.22 Generated: 709376
% 208.81/209.22 Kept: 124376
% 208.81/209.22 Inuse: 1717
% 208.81/209.22 Deleted: 3173
% 208.81/209.22 Deletedinuse: 73
% 208.81/209.22
% 208.81/209.22 Resimplifying inuse:
% 208.81/209.22 Done
% 208.81/209.22
% 208.81/209.22 Resimplifying clauses:
% 208.81/209.22 Done
% 208.81/209.22
% 208.81/209.22
% 208.81/209.22 Intermediate Status:
% 208.81/209.22 Generated: 765484
% 208.81/209.22 Kept: 128851
% 208.81/209.22 Inuse: 1722
% 208.81/209.22 Deleted: 4053
% 208.81/209.22 Deletedinuse: 73
% 208.81/209.22
% 208.81/209.22 Resimplifying inuse:
% 208.81/209.22 Done
% 208.81/209.22
% 208.81/209.22 Resimplifying inuse:
% 208.81/209.22 Done
% 208.81/209.22
% 208.81/209.22
% 208.81/209.22 Intermediate Status:
% 208.81/209.22 Generated: 798858
% 208.81/209.22 Kept: 131726
% 208.81/209.22 Inuse: 1737
% 208.81/209.22 Deleted: 4056
% 208.81/209.22 Deletedinuse: 76
% 208.81/209.22
% 208.81/209.22 Resimplifying inuse:
% 208.81/209.22 Done
% 208.81/209.22
% 208.81/209.22 Resimplifying inuse:
% 208.81/209.22 Done
% 208.81/209.22
% 208.81/209.22
% 208.81/209.22 Intermediate Status:
% 208.81/209.22 Generated: 831312
% 208.81/209.22 Kept: 135614
% 208.81/209.22 Inuse: 1747
% 208.81/209.22 Deleted: 4056
% 208.81/209.22 Deletedinuse: 76
% 208.81/209.22
% 208.81/209.22 Resimplifying inuse:
% 208.81/209.22 Done
% 208.81/209.22
% 208.81/209.22
% 208.81/209.22 Intermediate Status:
% 208.81/209.22 Generated: 848753
% 208.81/209.22 Kept: 138208
% 208.81/209.22 Inuse: 1752
% 208.81/209.22 Deleted: 4057
% 208.81/209.22 Deletedinuse: 77
% 208.81/209.22
% 208.81/209.22 Resimplifying inuse:
% 208.81/209.22 Done
% 208.81/209.22
% 208.81/209.22 Resimplifying inuse:
% 208.81/209.22 Done
% 208.81/209.22
% 208.81/209.22
% 208.81/209.22 Intermediate Status:
% 208.81/209.22 Generated: 867622
% 208.81/209.22 Kept: 141212
% 208.81/209.22 Inuse: 1769
% 208.81/209.22 Deleted: 4057
% 208.81/209.22 Deletedinuse: 77
% 208.81/209.22
% 208.81/209.22 Resimplifying inuse:
% 208.81/209.22 Done
% 208.81/209.22
% 208.81/209.22
% 208.81/209.22 Intermediate Status:
% 208.81/209.22 Generated: 883026
% 208.81/209.22 Kept: 143606
% 208.81/209.22 Inuse: 1772
% 208.81/209.22 Deleted: 4057
% 208.81/209.22 Deletedinuse: 77
% 208.81/209.22
% 208.81/209.22 Resimplifying inuse:
% 208.81/209.22 Done
% 208.81/209.22
% 208.81/209.22 Resimplifying clauses:
% 208.81/209.22 Done
% 208.81/209.22
% 208.81/209.22 Resimplifying inuse:
% 208.81/209.22 Done
% 208.81/209.22
% 208.81/209.22
% 208.81/209.22 Intermediate Status:
% 208.81/209.23 Generated: 901604
% 208.81/209.23 Kept: 145656
% 208.81/209.23 Inuse: 1795
% 208.81/209.23 Deleted: 4319
% 208.81/209.23 Deletedinuse: 77
% 208.81/209.23
% 208.81/209.23 Resimplifying inuse:
% 208.81/209.23 Done
% 208.81/209.23
% 208.81/209.23 Resimplifying inuse:
% 208.81/209.23 Done
% 208.81/209.23
% 208.81/209.23
% 208.81/209.23 Intermediate Status:
% 208.81/209.23 Generated: 920026
% 208.81/209.23 Kept: 147684
% 208.81/209.23 Inuse: 1818
% 208.81/209.23 Deleted: 4319
% 208.81/209.23 Deletedinuse: 77
% 208.81/209.23
% 208.81/209.23 Resimplifying inuse:
% 208.81/209.23 Done
% 208.81/209.23
% 208.81/209.23 Resimplifying inuse:
% 208.81/209.23 Done
% 208.81/209.23
% 208.81/209.23
% 208.81/209.23 Intermediate Status:
% 208.81/209.23 Generated: 945263
% 208.81/209.23 Kept: 149688
% 208.81/209.23 Inuse: 1828
% 208.81/209.23 Deleted: 4319
% 208.81/209.23 Deletedinuse: 77
% 208.81/209.23
% 208.81/209.23 Resimplifying inuse:
% 208.81/209.23 Done
% 208.81/209.23
% 208.81/209.23
% 208.81/209.23 Intermediate Status:
% 208.81/209.23 Generated: 969034
% 208.81/209.23 Kept: 151702
% 208.81/209.23 Inuse: 1838
% 208.81/209.23 Deleted: 4319
% 208.81/209.23 Deletedinuse: 77
% 208.81/209.23
% 208.81/209.23 Resimplifying inuse:
% 208.81/209.23 Done
% 208.81/209.23
% 208.81/209.23 Resimplifying inuse:
% 208.81/209.23 Done
% 208.81/209.23
% 208.81/209.23
% 208.81/209.23 Intermediate Status:
% 208.81/209.23 Generated: 986464
% 208.81/209.23 Kept: 153805
% 208.81/209.23 Inuse: 1859
% 208.81/209.23 Deleted: 4320
% 208.81/209.23 Deletedinuse: 78
% 208.81/209.23
% 208.81/209.23 Resimplifying inuse:
% 208.81/209.23 Done
% 208.81/209.23
% 208.81/209.23
% 208.81/209.23 Intermediate Status:
% 208.81/209.23 Generated: 1008075
% 208.81/209.23 Kept: 156233
% 208.81/209.23 Inuse: 1871
% 208.81/209.23 Deleted: 4321
% 208.81/209.23 Deletedinuse: 78
% 208.81/209.23
% 208.81/209.23 Resimplifying inuse:
% 208.81/209.23 Done
% 208.81/209.23
% 208.81/209.23 Resimplifying inuse:
% 208.81/209.23 Done
% 208.81/209.23
% 208.81/209.23
% 208.81/209.23 Intermediate Status:
% 208.81/209.23 Generated: 1024318
% 208.81/209.23 Kept: 159442
% 208.81/209.23 Inuse: 1886
% 208.81/209.23 Deleted: 4321
% 208.81/209.23 Deletedinuse: 78
% 208.81/209.23
% 208.81/209.23 Resimplifying inuse:
% 208.81/209.23 Done
% 208.81/209.23
% 208.81/209.23 Resimplifying inuse:
% 208.81/209.23 Done
% 208.81/209.23
% 208.81/209.23
% 208.81/209.23 Intermediate Status:
% 208.81/209.23 Generated: 1035364
% 208.81/209.23 Kept: 161844
% 208.81/209.23 Inuse: 1905
% 208.81/209.23 Deleted: 4322
% 208.81/209.23 Deletedinuse: 78
% 208.81/209.23
% 208.81/209.23 Resimplifying inuse:
% 208.81/209.23 Done
% 208.81/209.23
% 208.81/209.23 Resimplifying inuse:
% 208.81/209.23 Done
% 208.81/209.23
% 208.81/209.23
% 208.81/209.23 Intermediate Status:
% 208.81/209.23 Generated: 1050086
% 208.81/209.23 Kept: 163847
% 208.81/209.23 Inuse: 1932
% 208.81/209.23 Deleted: 4325
% 208.81/209.23 Deletedinuse: 79
% 208.81/209.23
% 208.81/209.23 Resimplifying inuse:
% 208.81/209.23 Done
% 208.81/209.23
% 208.81/209.23 Resimplifying clauses:
% 208.81/209.23 Done
% 208.81/209.23
% 208.81/209.23 Resimplifying inuse:
% 208.81/209.23 Done
% 208.81/209.23
% 208.81/209.23
% 208.81/209.23 Intermediate Status:
% 208.81/209.23 Generated: 1115686
% 208.81/209.23 Kept: 165864
% 208.81/209.23 Inuse: 1961
% 208.81/209.23 Deleted: 4547
% 208.81/209.23 Deletedinuse: 80
% 208.81/209.23
% 208.81/209.23 Resimplifying inuse:
% 208.81/209.23 Done
% 208.81/209.23
% 208.81/209.23
% 208.81/209.23 Intermediate Status:
% 208.81/209.23 Generated: 1145328
% 208.81/209.23 Kept: 167875
% 208.81/209.23 Inuse: 2011
% 208.81/209.23 Deleted: 4547
% 208.81/209.23 Deletedinuse: 80
% 208.81/209.23
% 208.81/209.23 Resimplifying inuse:
% 208.81/209.23 Done
% 208.81/209.23
% 208.81/209.23 Resimplifying inuse:
% 208.81/209.23 Done
% 208.81/209.23
% 208.81/209.23
% 208.81/209.23 Intermediate Status:
% 208.81/209.23 Generated: 1280892
% 208.81/209.23 Kept: 169886
% 208.81/209.23 Inuse: 2064
% 208.81/209.23 Deleted: 4550
% 208.81/209.23 Deletedinuse: 83
% 208.81/209.23
% 208.81/209.23 Resimplifying inuse:
% 208.81/209.23 Done
% 208.81/209.23
% 208.81/209.23 Resimplifying inuse:
% 208.81/209.23 Done
% 208.81/209.23
% 208.81/209.23
% 208.81/209.23 IntermediaCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------