TSTP Solution File: SCT078-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SCT078-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 21:01:03 EDT 2022
% Result : Timeout 300.05s 300.47s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SCT078-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sat Jul 2 08:24:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.96/1.32 *** allocated 10000 integers for termspace/termends
% 0.96/1.32 *** allocated 10000 integers for clauses
% 0.96/1.32 *** allocated 10000 integers for justifications
% 0.96/1.32 *** allocated 15000 integers for termspace/termends
% 0.96/1.32 Bliksem 1.12
% 0.96/1.32
% 0.96/1.32
% 0.96/1.32 Automatic Strategy Selection
% 0.96/1.32
% 0.96/1.32 Clauses:
% 0.96/1.32 [
% 0.96/1.32 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Finite__Set_Ocard'(
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) )
% 0.96/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.32 Y, Z, X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ) ) ],
% 0.96/1.32 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.32 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.96/1.32 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.96/1.32 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.96/1.32 X ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.96/1.32 X ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.96/1.32 Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ),
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.96/1.32 Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ),
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.96/1.32 X ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) )
% 0.96/1.32 , 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), Z )
% 0.96/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), Z )
% 0.96/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) )
% 0.96/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ),
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) )
% 0.96/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ),
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ),
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ),
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Obot'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.96/1.32 ), 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ) ],
% 0.96/1.32 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 0.96/1.32 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_in'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( X,
% 0.96/1.32 'tc_bool' ) ) ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.96/1.32 , 'tc_fun'( X, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.96/1.32 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 0.96/1.32 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.96/1.32 ), Y ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.96/1.32 ), Y ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.96/1.32 ), Y ) ],
% 0.96/1.32 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.96/1.32 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.32 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.96/1.32 Y, X ), Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.32 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ =( 'c_Finite__Set_Ocard'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 0.96/1.32 , 'tc_bool' ) ), X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.32 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.32 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.96/1.32 ) ), Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 0.96/1.32 Y, Z, X ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z )
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z
% 0.96/1.32 , 'tc_bool' ) ), T, Z ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Set_Ovimage'(
% 0.96/1.32 X, Y, T, Z ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.96/1.32 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.96/1.32 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.96/1.32 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.96/1.32 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 0.96/1.32 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.96/1.32 'tc_bool' ) ), Y, Z ) ],
% 0.96/1.32 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.96/1.32 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~(
% 0.96/1.32 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.96/1.32 , 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.96/1.32 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.96/1.32 X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.96/1.32 Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.32 ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.32 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), Y )
% 0.96/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 X ) ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~(
% 0.96/1.32 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.96/1.32 , X ) ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.96/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~(
% 0.96/1.32 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), Y )
% 0.96/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 X ) ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~(
% 0.96/1.32 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.96/1.32 , X ) ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.96/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~(
% 0.96/1.32 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 0.96/1.32 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.32 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_Relation_OImage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.96/1.32 , 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.96/1.32 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.96/1.32 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.96/1.32 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Otop__class_Otop'( X ), X )
% 0.96/1.32 , 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.96/1.32 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Otop__class_Otop'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.32 ) ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.96/1.32 , X ) ) ), =( Y, Z ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.96/1.32 , X ) ) ), =( Y, Z ) ],
% 0.96/1.32 [ ~( =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X,
% 0.96/1.32 Z ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~(
% 0.96/1.32 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.96/1.32 , X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.32 [ 'c_Relation_Ototal__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.32 'tc_bool' ) ), Y, X ) ],
% 0.96/1.32 [ ~( 'class_HOL_Ouminus'( X ) ), =( hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.96/1.32 Y, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ouminus__class_Ouminus'( hAPP(
% 0.96/1.32 Y, 'v_x' ), X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'( X ), X )
% 0.96/1.32 , 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.96/1.32 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.32 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 0.96/1.32 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.32 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.96/1.32 ) ) ) ],
% 0.96/1.32 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.96/1.32 'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.32 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 0.96/1.32 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.32 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.96/1.32 ), 'v_x' ), hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ) ) ) ],
% 0.96/1.32 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ),
% 0.96/1.32 ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 0.96/1.32 [ =( 'c_Relation_ORange'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.96/1.32 'c_Power_Opower__class_Opower'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 0.96/1.32 ) ],
% 0.96/1.32 [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, V0, T, U
% 0.96/1.32 ), 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, W, V0, T, U ), Y, Z, T, U )
% 0.96/1.32 ), =( Y, W ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.32 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_lessequals'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.32 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.96/1.32 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 0.96/1.32 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 0.96/1.32 [ =( 'c_Set_Ovimage'( X, 'c_Set_Oimage'( X, Y, Z, T ), Z, T ), Y ), ~(
% 0.96/1.32 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), Z, T ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.96/1.32 'c_Power_Opower__class_Opower'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.32 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.96/1.32 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.32 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 0.96/1.32 [ 'c_Relation_Orefl__on'( X, 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.96/1.32 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.96/1.32 X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.96/1.32 [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~( 'c_Orderings_Oorder'( Z, X,
% 0.96/1.32 T ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, Y ), Z ) )
% 0.96/1.32 ), ~( 'c_Orderings_Oorder'( X, T, U ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.96/1.32 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.96/1.32 [ =( 'c_Relation_ODomain'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Z ), Y ) ),
% 0.96/1.32 ~( hBOOL( hAPP( hAPP( T, Y ), Z ) ) ), ~( 'c_Orderings_Opreorder'( T, X,
% 0.96/1.32 U ) ) ],
% 0.96/1.32 [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~( 'c_Orderings_Opreorder'( Z,
% 0.96/1.32 X, T ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, Y ), Z ) )
% 0.96/1.32 ), ~( 'c_Orderings_Opreorder'( X, T, U ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.96/1.32 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.96/1.32 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.96/1.32 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 0.96/1.32 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 X ) ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.96/1.32 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 X ) ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.96/1.32 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 X ) ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 0.96/1.32 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 X ) ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X ) ),
% 0.96/1.32 'c_Power_Opower__class_Opower'( T, Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.96/1.32 [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~( 'c_Orderings_Olinorder'( Z,
% 0.96/1.32 X, T ) ) ],
% 0.96/1.32 [ ~( 'c_Orderings_Olinorder'( X, Y, Z ) ), ~( hBOOL( hAPP( hAPP( Y, T )
% 0.96/1.32 , T ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.96/1.32 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.96/1.32 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.96/1.32 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ =( 'c_Set_Ovimage'( hAPP( 'c_COMBC'( hAPP( 'c_COMBC'( 'c_COMBB'(
% 0.96/1.32 'c_HOL_OIf'( X ), hAPP( 'c_COMBC'( 'c_in'( Y ), Y, 'tc_fun'( Y, 'tc_bool'
% 0.96/1.32 ), 'tc_bool' ), Z ), 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), Y
% 0.96/1.32 , X, 'tc_fun'( X, X ) ), T ), Y, X, X ), U ), W, Y, X ),
% 0.96/1.32 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_in'( X ), U ), W ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), T
% 0.96/1.32 ), W ) ) ],
% 0.96/1.32 [ =( 'c_Set_Ovimage'( hAPP( 'c_COMBC'( hAPP( 'c_COMBC'( 'c_COMBB'(
% 0.96/1.32 'c_HOL_OIf'( X ), hAPP( 'c_COMBC'( 'c_in'( Y ), Y, 'tc_fun'( Y, 'tc_bool'
% 0.96/1.32 ), 'tc_bool' ), Z ), 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), Y
% 0.96/1.32 , X, 'tc_fun'( X, X ) ), T ), Y, X, X ), U ), W, Y, X ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_in'( X ), U ), W ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), T ), W ) )
% 0.96/1.32 ],
% 0.96/1.32 [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y, W, T, U )
% 0.96/1.32 , 'c_Fun_Ofun__upd'( X, Y, W, T, U ) ) ],
% 0.96/1.32 [ ~( 'c_Orderings_Oorder'( X, Y, Z ) ), hBOOL( hAPP( hAPP( X, T ), T ) )
% 0.96/1.32 ],
% 0.96/1.32 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Equiv__Relations_Oequiv'( X,
% 0.96/1.32 Y, Z ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.32 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.32 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.32 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.32 Z, T, X ), X ) ) ],
% 0.96/1.32 [ ~( 'c_Orderings_Opreorder'( X, Y, Z ) ), hBOOL( hAPP( hAPP( X, T ), T
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), Y
% 0.96/1.32 ) ) ), ~( 'c_Orderings_Opreorder'( T, X, U ) ) ],
% 0.96/1.32 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), Y
% 0.96/1.32 ) ) ), ~( 'c_Orderings_Opreorder'( T, X, U ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, T ), Z ) )
% 0.96/1.32 ), ~( hBOOL( hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Orderings_Opreorder'( U
% 0.96/1.32 , X, W ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( X, Y ), Y ) ), ~( 'c_Orderings_Opreorder'( X, Z, T
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, T ), Z ) )
% 0.96/1.32 ), ~( hBOOL( hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Orderings_Opreorder'( X
% 0.96/1.32 , U, W ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, T ), Z ) )
% 0.96/1.32 ), ~( hBOOL( hAPP( hAPP( U, Y ), T ) ) ), ~( 'c_Orderings_Opreorder'( U
% 0.96/1.32 , X, W ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, U ), Z ) )
% 0.96/1.32 ), ~( hBOOL( hAPP( hAPP( X, Y ), U ) ) ), ~( 'c_Orderings_Opreorder'( T
% 0.96/1.32 , X, W ) ) ],
% 0.96/1.32 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( T, Z ), Y
% 0.96/1.32 ) ) ), ~( 'c_Orderings_Opreorder'( X, T, U ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), Y
% 0.96/1.32 ) ) ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.96/1.32 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( T, Z ), Y
% 0.96/1.32 ) ) ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Z ), Y ) ),
% 0.96/1.32 ~( 'c_Orderings_Olinorder'( X, T, U ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( X, Z ), Y ) ),
% 0.96/1.32 ~( 'c_Orderings_Olinorder'( X, T, U ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Z ), Y ) ),
% 0.96/1.32 ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.96/1.32 [ ~( hBOOL( hAPP( hAPP( X, Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( T, Z ), Y
% 0.96/1.32 ) ) ), ~( 'c_Orderings_Olinorder'( X, T, U ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( T, Z ), Y ) ),
% 0.96/1.32 ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( X, Y ), Y ) ), ~( 'c_Orderings_Olinorder'( Z, X, T
% 0.96/1.32 ) ), hBOOL( hAPP( hAPP( Z, Y ), Y ) ) ],
% 0.96/1.32 [ ~( hBOOL( hAPP( hAPP( X, Y ), Y ) ) ), ~( 'c_Orderings_Olinorder'( X,
% 0.96/1.32 Z, T ) ), ~( hBOOL( hAPP( hAPP( Z, Y ), Y ) ) ) ],
% 0.96/1.32 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.96/1.32 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 0.96/1.32 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.96/1.32 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 0.96/1.32 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.96/1.32 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.96/1.32 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.32 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.96/1.32 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.96/1.32 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.32 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.96/1.32 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.96/1.32 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.32 [ 'c_Fun_Oinj__on'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ), hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_in'( U ), Z ), 'c_Set_Oimage'( X, W, T, U ) ) ), ~(
% 0.96/1.32 'c_Fun_Oinj__on'( X, W, T, U ) ) ],
% 0.96/1.32 [ =( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ),
% 0.96/1.32 'c_Set_Oimage'( X, W, T, U ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), W )
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.32 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.32 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.32 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.32 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.32 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.96/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.32 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.32 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.32 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.96/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.32 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.32 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.32 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.32 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ) ) ],
% 0.96/1.32 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, Y ), X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 Z, X ), Y ) ) ), ~( 'c_Orderings_Oorder'( Z, T, U ) ) ],
% 0.96/1.32 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, Y ), X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 Z, X ), Y ) ) ), ~( 'c_Orderings_Oorder'( Z, T, U ) ) ],
% 0.96/1.32 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, X ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 Z, Y ), X ) ) ), ~( 'c_Orderings_Oorder'( Z, T, U ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( 'c_Set_Ovimage'( Y,
% 0.96/1.32 X, T, U ), Z ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~( hBOOL( hAPP( Y,
% 0.96/1.32 hAPP( X, U ) ) ) ) ],
% 0.96/1.32 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, Y ), X ) ), hBOOL( hAPP( hAPP( Z, X )
% 0.96/1.32 , Y ) ), ~( 'c_Orderings_Olinorder'( T, Z, U ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( X, Z ), Y ) ),
% 0.96/1.32 =( Z, Y ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Z, Y ), hBOOL( hAPP( hAPP( X, Z )
% 0.96/1.32 , Y ) ), ~( 'c_Orderings_Olinorder'( T, X, U ) ) ],
% 0.96/1.32 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, X ), Y ) ), hBOOL( hAPP( hAPP( Z, Y )
% 0.96/1.32 , X ) ), ~( 'c_Orderings_Olinorder'( T, Z, U ) ) ],
% 0.96/1.32 [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T ), T ),
% 0.96/1.32 'c_Finite__Set_Ocard'( Y, Z ) ), ~( 'c_Fun_Oinj__on'( X, Y, Z, T ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.96/1.32 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 0.96/1.32 , Y ) ],
% 0.96/1.32 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 0.96/1.32 , Y ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_lessequals'( X ), T ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.96/1.32 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 0.96/1.32 'c_Power_Opower__class_Opower'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X
% 0.96/1.32 ), 'c_HOL_Oone__class_Oone'( X ) ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( Y,
% 0.96/1.32 Z, X ) ), 'c_Power_Opower__class_Opower'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 0.96/1.32 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'tc_nat' ), T ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X ) ),
% 0.96/1.32 'c_Power_Opower__class_Opower'( Y, T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ) ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 0.96/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), T ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_Orderings_Opreorder'(
% 0.96/1.32 'c_lessequals'( X ), 'c_HOL_Oord__class_Oless'( X ), X ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~(
% 0.96/1.32 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.96/1.32 , 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.32 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) ), ~(
% 0.96/1.32 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.32 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) ), ~(
% 0.96/1.32 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), T ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.96/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ), =( Z,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.96/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ), =( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~(
% 0.96/1.32 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Oplus__class_Oplus'( Y, Y
% 0.96/1.32 , X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) )
% 0.96/1.32 , 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.96/1.32 Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X )
% 0.96/1.32 ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oplus__class_Oplus'( Y
% 0.96/1.32 , Z, X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X
% 0.96/1.32 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.32 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.32 ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.32 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.32 ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.32 ) ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.96/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Oplus__class_Oplus'( Z
% 0.96/1.32 , T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 0.96/1.32 T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 0.96/1.32 'c_Power_Opower__class_Opower'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.96/1.32 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.96/1.32 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.96/1.32 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.32 Y, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 0.96/1.32 'c_HOL_Oone__class_Oone'( X ) ), Y ) ) ), =( Z, T ) ],
% 0.96/1.32 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'(
% 0.96/1.32 X, Y, Z, Z ) ), 'c_Relation_OId__on'( T, Z ) ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y,
% 0.96/1.32 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, X ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ =( 'c_Set_Oimage'( 'c_COMBB'( X, Y, Z, T, U ),
% 0.96/1.32 'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ), U, T ),
% 0.96/1.32 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, 'c_Orderings_Otop__class_Otop'(
% 0.96/1.32 'tc_fun'( U, 'tc_bool' ) ), U, Z ), Z, T ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.96/1.32 Y, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.96/1.32 Y, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ) ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ) ) ],
% 0.96/1.32 [ 'c_List_Oall__from__to__nat'( X, Y, Z ), ~( hBOOL( hAPP( X, Y ) ) ),
% 0.96/1.32 ~( 'c_List_Oall__from__to__nat'( X, 'c_HOL_Oplus__class_Oplus'( Y,
% 0.96/1.32 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Z ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.32 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), =( X, T ), ~( hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.32 , 'c_Arrow__Order__Mirabelle_Omkbot'( Z, T ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.32 ) ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ), ~( hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.96/1.32 Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) )
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.32 ) ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ), ~( hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.32 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), T ), Y )
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 0.96/1.32 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.96/1.32 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.32 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.32 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 0.96/1.32 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.96/1.32 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.32 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.32 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.96/1.32 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.96/1.32 T, Z, X ) ) ), =( Y, T ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ) ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), T ) )
% 0.96/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 X ) ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.96/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.96/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, Y ), Z ) )
% 0.96/1.32 ), =( Y, Z ), ~( 'c_Orderings_Oorder'( T, X, U ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( T,
% 0.96/1.32 Y ), Z ) ) ), ~( 'c_Orderings_Oorder'( T, X, U ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( T,
% 0.96/1.32 Y ), Z ) ) ), ~( 'c_Orderings_Oorder'( T, X, U ) ) ],
% 0.96/1.32 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, X ), Y ) ), ~( hBOOL( hAPP( hAPP( T,
% 0.96/1.32 X ), Y ) ) ), ~( 'c_Orderings_Oorder'( T, Z, U ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Oinverse__class_Odivide'( Z,
% 0.96/1.32 T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), T ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.32 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), T ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.32 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.96/1.32 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.32 ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), T ) ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.32 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 0.96/1.32 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.96/1.32 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ), Y ) ) ) ],
% 0.96/1.32 [ =( X, Y ), hBOOL( hAPP( hAPP( Z, X ), Y ) ), ~( hBOOL( hAPP( hAPP( T,
% 0.96/1.32 X ), Y ) ) ), ~( 'c_Orderings_Olinorder'( T, Z, U ) ) ],
% 0.96/1.32 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, X ), Y ) ) ), hBOOL( hAPP( hAPP( T
% 0.96/1.32 , X ), Y ) ), ~( 'c_Orderings_Olinorder'( Z, T, U ) ) ],
% 0.96/1.32 [ ~( =( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), X ) ), =( hAPP( X, Y ), Z )
% 0.96/1.32 ],
% 0.96/1.32 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.96/1.32 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), =( Y,
% 0.96/1.32 Z ), ~( 'c_Fun_Oinj__on'( X, U, T, W ) ) ],
% 0.96/1.32 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.96/1.32 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~(
% 0.96/1.32 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 0.96/1.32 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 0.96/1.32 ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), U ) ) ), ~(
% 0.96/1.32 'c_Fun_Oinj__on'( X, U, T, W ) ), =( Y, Z ) ],
% 0.96/1.32 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 0.96/1.32 ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ), ~(
% 0.96/1.32 hBOOL( hAPP( hAPP( 'c_in'( U ), Y ), T ) ) ) ],
% 0.96/1.32 [ ~( =( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ),
% 0.96/1.32 'tc_bool' ), Y ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool'
% 0.96/1.32 ), 'tc_bool' ), Z ) ) ), =( Y, Z ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 0.96/1.32 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 0.96/1.32 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Ovimage'( Z, T, X, U ) ) )
% 0.96/1.32 , ~( hBOOL( hAPP( hAPP( 'c_in'( U ), hAPP( Z, Y ) ), T ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_in'( U ), Z ), 'c_Set_Ovimage'( Y, T, U, X ) ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_in'( U ), Z ), 'c_Set_Ovimage'( Y, T, U, X ) ) ) ) ],
% 0.96/1.32 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_in'( T ), hAPP( U, Y ) ), 'c_Set_Oimage'( U, Z, X, T ) ) ) ],
% 0.96/1.32 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_in'( T ), hAPP( U, Y ) ), 'c_Set_Oimage'( U, Z, X, T ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y, T,
% 0.96/1.32 U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y, T,
% 0.96/1.32 U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.32 ) ), 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), ~( hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), U ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), U ) )
% 0.96/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ),
% 0.96/1.32 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.32 ) ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.96/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 X ) ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), U ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), U ) )
% 0.96/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 0.96/1.32 'c_Power_Opower__class_Opower'( Y, T, X ) ),
% 0.96/1.32 'c_Power_Opower__class_Opower'( Z, T, X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.96/1.32 ) ), 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), ~( hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( X ), U ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), U ) )
% 0.96/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.32 ) ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.96/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 X ) ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) )
% 0.96/1.32 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), T ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.32 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), T ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.96/1.32 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), T ) )
% 0.96/1.32 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 X ) ), T ) ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.96/1.32 ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.96/1.32 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ), Y ) ) ) ],
% 0.96/1.32 [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ),
% 0.96/1.32 'c_Set_Oimage'( 'c_COMBB'( X, Y, U, W, T ), Z, T, W ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.96/1.32 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.32 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.96/1.32 ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.96/1.32 ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.32 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.32 ), X ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.96/1.32 ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.96/1.32 ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.96/1.32 ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.96/1.32 ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.96/1.32 ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.96/1.32 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.96/1.32 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( Y,
% 0.96/1.32 Z, X ) ), 'c_Power_Opower__class_Opower'( T, Z, X ) ) ), ~( hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.32 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.32 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.32 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.32 ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) )
% 0.96/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 X ) ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) )
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 0.96/1.32 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.32 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) )
% 0.96/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.32 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.96/1.32 ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.96/1.32 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.32 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) )
% 0.96/1.32 , 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.96/1.32 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.96/1.32 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.96/1.32 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.96/1.32 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 0.96/1.32 ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y, T,
% 0.96/1.32 U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ), ~(
% 0.96/1.32 'c_Fun_Oinj__on'( Y, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( U,
% 0.96/1.32 'tc_bool' ) ), U, X ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_in'( T ), hAPP( U, Y ) ), 'c_Set_Oimage'( U, Z, X, T ) ) ) ), ~(
% 0.96/1.32 'c_Fun_Oinj__on'( U, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.96/1.32 'tc_bool' ) ), X, T ) ) ],
% 0.96/1.32 [ 'c_List_Oall__from__to__nat'( X, Y, Z ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 'tc_nat' ), Y ), Z ) ) ), ~( 'c_List_Oall__from__to__nat'( X, Y, Z ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ) ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ), =( X,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.96/1.32 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 0.96/1.32 [ 'c_Orderings_Opreorder'( 'c_COMBC'( X, Y, Y, 'tc_bool' ), 'c_COMBC'( Z
% 0.96/1.32 , Y, Y, 'tc_bool' ), Y ), ~( 'c_Orderings_Opreorder'( X, Z, Y ) ) ],
% 0.96/1.32 [ 'c_Orderings_Olinorder'( 'c_COMBC'( X, Y, Y, 'tc_bool' ), 'c_COMBC'( Z
% 0.96/1.32 , Y, Y, 'tc_bool' ), Y ), ~( 'c_Orderings_Olinorder'( X, Z, Y ) ) ],
% 0.96/1.32 [ 'c_Orderings_Oorder'( 'c_COMBC'( X, Y, Y, 'tc_bool' ), 'c_COMBC'( Z, Y
% 0.96/1.32 , Y, 'tc_bool' ), Y ), ~( 'c_Orderings_Oorder'( X, Z, Y ) ) ],
% 0.96/1.32 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( =( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.32 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), X ) ), =( Y,
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.32 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.96/1.32 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.96/1.32 [ =( X, 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.32 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.96/1.32 , X, 'tc_nat' ), X ) ],
% 0.96/1.32 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.96/1.32 ), 'tc_nat' ), X ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ) ) ) ],
% 0.96/1.32 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ) ],
% 0.96/1.32 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 0.96/1.32 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ), =(
% 0.96/1.32 Y, Z ) ],
% 0.96/1.32 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.96/1.32 'tc_bool' ) ), Z, Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.96/1.32 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.96/1.32 X ), Y ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.32 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.96/1.32 X ), Y ) ],
% 0.96/1.32 [ =( X, Y ), =( X, Y ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.32 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.96/1.32 Z, Y ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.32 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.96/1.32 Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.32 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, T ), =( Y, T ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.32 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.96/1.32 Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.32 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), =( Y, T ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.32 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.96/1.32 Z, Y ) ) ) ) ],
% 0.96/1.32 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.32 , 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.96/1.32 Y, X ) ) ) ) ],
% 0.96/1.32 [ =( X, Y ), =( Y, X ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.32 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.96/1.32 Z, X ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.32 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), =( Y, T ), ~( hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.32 , 'c_Arrow__Order__Mirabelle_Omktop'( Z, T ) ) ) ) ],
% 0.96/1.32 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.32 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.96/1.32 Z, X ) ) ) ) ],
% 0.96/1.32 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.32 , 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.96/1.32 Y, X ) ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.32 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.96/1.32 Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.32 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( Y, T ), =( X, T ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.32 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.96/1.32 Z, T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.32 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), =( X, Y ), =( X, T ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ =( 'c_Set_Oimage'( 'v_h____', 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_bool' ) ),
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_nat' ),
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 'tc_nat' ), 'c_Finite__Set_Ocard'( 'c_Orderings_Otop__class_Otop'(
% 0.96/1.32 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_bool' ) ),
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oindi' ), 'tc_nat' ) ) ],
% 0.96/1.32 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, 't_a', T ), 'v_x' ), hAPP( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_OIf'( T ), 'c_fequal'( 'v_x', Y, 't_a' ) ), Z ), hAPP( X,
% 0.96/1.32 'v_x' ) ) ) ],
% 0.96/1.32 [ =( 'c_Set_Ovimage'( hAPP( 'c_COMBC'( hAPP( 'c_COMBC'( 'c_COMBB'(
% 0.96/1.32 'c_HOL_OIf'( X ), hAPP( 'c_COMBC'( 'c_in'( Y ), Y, 'tc_fun'( Y, 'tc_bool'
% 0.96/1.32 ), 'tc_bool' ), Z ), 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), Y
% 0.96/1.32 , X, 'tc_fun'( X, X ) ), T ), Y, X, X ), U ), W, Y, X ), Z ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_in'( X ), U ), W ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), W
% 0.96/1.32 ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.32 ) ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.32 ) ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.32 ) ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 0.96/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 X ) ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.32 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Oplus__class_Oplus'( Z, T, X
% 0.96/1.32 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) )
% 0.96/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.96/1.32 X ) ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.32 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Oplus__class_Oplus'( Z, T, X
% 0.96/1.32 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.96/1.32 ) ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oplus__class_Oplus'( Y
% 0.96/1.32 , Z, X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.96/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oplus__class_Oplus'( Y
% 0.96/1.32 , Z, X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 0.96/1.32 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 0.96/1.32 ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 0.96/1.32 'c_Relation_Orefl__on'( T, Z, X ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X ) ), U ) ) ), ~(
% 0.96/1.32 'c_Relation_Orefl__on'( Z, U, X ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( T, Y, X, X ) ), U ) ) ), ~(
% 0.96/1.32 'c_Relation_Orefl__on'( Z, U, X ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 0.96/1.32 ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 0.96/1.32 'c_Relation_Orefl__on'( T, Z, X ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.96/1.32 ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Z, Y
% 0.96/1.32 , X, X ) ), T ) ), =( Z, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), U )
% 0.96/1.32 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), U ) ) ), ~(
% 0.96/1.32 'c_Relation_Ototal__on'( U, T, X ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_in'( 'tc_prod'( X, T ) ), 'c_Pair'( Y, U, X, T ) ),
% 0.96/1.32 'c_Product__Type_OSigma'( Z, W, X, T ) ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_in'( 'tc_prod'( U, X ) ), 'c_Pair'( T, Y, U, X ) ),
% 0.96/1.32 'c_Product__Type_OSigma'( W, Z, U, X ) ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_ODomain'( Z, X, T ) )
% 0.96/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, T ) ), 'c_Pair'( Y, U, X
% 0.96/1.32 , T ) ), Z ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_ODomain'( Z, X, T ) )
% 0.96/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, T ) ), 'c_Pair'( Y, U, X
% 0.96/1.32 , T ) ), Z ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_ORange'( Z, T, X ) )
% 0.96/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( T, X ) ), 'c_Pair'( U, Y, T
% 0.96/1.32 , X ) ), Z ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_ORange'( Z, T, X ) )
% 0.96/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( T, X ) ), 'c_Pair'( U, Y, T
% 0.96/1.32 , X ) ), Z ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X ) ), U ) ) ), ~(
% 0.96/1.32 'c_Equiv__Relations_Oequiv'( Z, U, X ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( T, Y, X, X ) ), U ) ) ), ~(
% 0.96/1.32 'c_Equiv__Relations_Oequiv'( Z, U, X ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 0.96/1.32 ), 'c_Relation_OId__on'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.96/1.32 Y ), Z ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X ) ),
% 0.96/1.32 'c_Relation_OId__on'( Z, X ) ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_OImage'( Z, T, U, X )
% 0.96/1.32 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( U, X ) ), 'c_Pair'( W, Y,
% 0.96/1.32 U, X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), T ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_OImage'( Z, T, U, X )
% 0.96/1.32 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( U, X ) ), 'c_Pair'( W, Y,
% 0.96/1.32 U, X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), T ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Wellfounded_Oacc'( Z, X ) ) )
% 0.96/1.32 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X
% 0.96/1.32 ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ),
% 0.96/1.32 'c_Wellfounded_Oacc'( Z, X ) ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Wellfounded_Oacc'( Z, X ) ) )
% 0.96/1.32 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X
% 0.96/1.32 ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ),
% 0.96/1.32 'c_Wellfounded_Oacc'( Z, X ) ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 0.96/1.32 ), 'c_Product__Type_OSigma'( U, W, X, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_in'( Y ), T ), hAPP( W, Z ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.96/1.32 Z ), U ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 0.96/1.32 ), 'c_Product__Type_OSigma'( U, W, X, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_in'( Y ), T ), hAPP( W, Z ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.96/1.32 Z ), U ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.96/1.32 'c_HOL_Oone__class_Oone'( X ), X ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.32 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ) )
% 0.96/1.32 , Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) )
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Oinverse__class_Odivide'(
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.32 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ) )
% 0.96/1.32 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_Orderings_Opreorder'(
% 0.96/1.32 'c_COMBC'( 'c_lessequals'( X ), X, X, 'tc_bool' ), 'c_COMBC'(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), X, X, 'tc_bool' ), X ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_Orderings_Oorder'( 'c_COMBC'(
% 0.96/1.32 'c_lessequals'( X ), X, X, 'tc_bool' ), 'c_COMBC'(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), X, X, 'tc_bool' ), X ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_Orderings_Olinorder'(
% 0.96/1.32 'c_COMBC'( 'c_lessequals'( X ), X, X, 'tc_bool' ), 'c_COMBC'(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), X, X, 'tc_bool' ), X ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( Y,
% 0.96/1.32 Z, X ) ), 'c_Power_Opower__class_Opower'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 0.96/1.32 ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ), ~( hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( T,
% 0.96/1.32 Y, X ) ), 'c_Power_Opower__class_Opower'( T, Z, X ) ) ) ), ~( hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), T
% 0.96/1.32 ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( Y,
% 0.96/1.32 Z, X ) ), 'c_Power_Opower__class_Opower'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 0.96/1.32 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z )
% 0.96/1.32 , T ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ), ~( hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_Power_Opower__class_Opower'( T,
% 0.96/1.32 Y, X ) ), 'c_Power_Opower__class_Opower'( T, Z, X ) ) ) ), ~( hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), T
% 0.96/1.32 ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( X, Y )
% 0.96/1.32 ), hAPP( X, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( T, T ) ),
% 0.96/1.32 'c_Pair'( Y, Z, T, T ) ), 'c_Wellfounded_Omeasure'( X, T ) ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.96/1.32 ), 'c_Wellfounded_Omeasure'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( T, Y ) ), hAPP( T, Z ) ) ) )
% 0.96/1.32 ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.96/1.32 ), 'c_Wellfounded_Omlex__prod'( T, U, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( T, Y ) ), hAPP( T, Z ) ) ) )
% 0.96/1.32 ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X ) ),
% 0.96/1.32 'c_Power_Opower__class_Opower'( Y, T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ) ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Z ), T ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.96/1.32 ), 'c_Wellfounded_Omlex__prod'( T, U, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X ) ), U ) ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( T, Y ) ), hAPP( T, Z ) ) )
% 0.96/1.32 ) ],
% 0.96/1.32 [ 'c_List_Oall__from__to__nat'( X, 'c_HOL_Oplus__class_Oplus'( Y,
% 0.96/1.32 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Z ), ~( hBOOL( hAPP( X
% 0.96/1.32 , Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y
% 0.96/1.32 ), Z ) ) ), ~( 'c_List_Oall__from__to__nat'( X, Y, Z ) ) ],
% 0.96/1.32 [ =( 'c_Set_Ovimage'( hAPP( 'c_COMBC'( hAPP( 'c_COMBC'( 'c_COMBB'(
% 0.96/1.32 'c_HOL_OIf'( X ), hAPP( 'c_COMBC'( 'c_in'( Y ), Y, 'tc_fun'( Y, 'tc_bool'
% 0.96/1.32 ), 'tc_bool' ), Z ), 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), Y
% 0.96/1.32 , X, 'tc_fun'( X, X ) ), T ), Y, X, X ), U ), W, Y, X ),
% 0.96/1.32 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_in'( X ), U ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X )
% 0.96/1.32 , T ), W ) ) ) ],
% 0.96/1.32 [ 'c_Fun_Oinj__on'( 'v_h____', 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_bool' ) ),
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_nat' ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X ) ),
% 0.96/1.32 'c_Power_Opower__class_Opower'( Y, T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( 'tc_nat' ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ) ) )
% 0.96/1.32 ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( 'tc_nat' ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), 'c_Power_Opower__class_Opower'( T, Y, X ) ),
% 0.96/1.32 'c_Power_Opower__class_Opower'( T, Z, X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), T ) ) )
% 0.96/1.32 ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( 'tc_nat' ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), 'c_Power_Opower__class_Opower'( T, Y, X ) ),
% 0.96/1.32 'c_Power_Opower__class_Opower'( T, Z, X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), T ) ) )
% 0.96/1.32 ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.32 'tc_bool' ) ) ), hAPP( 'c_COMBC'( hAPP( 'c_COMBC'( 'c_COMBB'( 'c_HOL_OIf'(
% 0.96/1.32 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), hAPP( 'c_COMBC'(
% 0.96/1.32 'c_COMBB'( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'v_h____', 'tc_nat',
% 0.96/1.32 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oindi' ),
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_nat', 'tc_bool' ), X ), 'tc_bool'
% 0.96/1.32 , 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 0.96/1.32 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.32 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ),
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.32 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.32 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'v_Lab____' ),
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.32 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'v_Lba____' ) ),
% 0.96/1.32 'c_Arrow__Order__Mirabelle_OProf' ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.96/1.32 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ), 'c_HOL_Oplus__class_Oplus'( Y, T
% 0.96/1.32 , X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), T )
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.32 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ), 'c_HOL_Oplus__class_Oplus'( Y, T
% 0.96/1.32 , X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), T )
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.32 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oplus__class_Oplus'( T
% 0.96/1.32 , Y, X ) ), 'c_HOL_Oplus__class_Oplus'( T, Z, X ) ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ),
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 0.96/1.32 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ) ),
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ),
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 0.96/1.32 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), T ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.96/1.32 ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 0.96/1.32 ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), X ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 X ), Y ), Y ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), Y ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) )
% 0.96/1.32 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), U ), T ) ) ), ~( hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) )
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), ~( hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), Z ) ) ), =( Z, Y ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 0.96/1.32 =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) )
% 0.96/1.32 ],
% 0.96/1.32 [ =( X, Y ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X
% 0.96/1.32 ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) )
% 0.96/1.32 ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 0.96/1.32 =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) )
% 0.96/1.32 ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), Z ) ) ), =( Y, Z ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( 'tc_nat' ), Y ), X ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.96/1.32 Z ), Y ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.32 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oplus__class_Oplus'( Y
% 0.96/1.32 , T, X ) ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.32 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ), 'c_HOL_Oplus__class_Oplus'( T, Z
% 0.96/1.32 , X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T )
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.96/1.32 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ), 'c_HOL_Oplus__class_Oplus'( T, Z
% 0.96/1.32 , X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T )
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ), Y ) ) ) ],
% 0.96/1.32 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ), X ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Otop'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.96/1.32 ), Y ), 'c_Orderings_Otop__class_Otop'( X ) ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Oplus__class_Oplus'( Y
% 0.96/1.32 , 'c_HOL_Oone__class_Oone'( X ), X ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ),
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ),
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( 'tc_nat' ), Y ), Z ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Z, X
% 0.96/1.32 , 'tc_nat' ) ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ),
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ),
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) )
% 0.96/1.32 , 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Z ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) )
% 0.96/1.32 , 'c_HOL_Oplus__class_Oplus'( T, Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.32 , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), 'c_HOL_Oplus__class_Oplus'( T, Y, X ) ),
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( T, Z, X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.32 , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.96/1.32 Z, X ) ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Z ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.32 , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ),
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.96/1.32 , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.96/1.32 Z, X ) ), 'c_HOL_Oplus__class_Oplus'( T, Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y
% 0.96/1.32 ), Z ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ),
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.96/1.32 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 0.96/1.32 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ), 'c_HOL_Oplus__class_Oplus'( T, U
% 0.96/1.32 , X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), U )
% 0.96/1.32 ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) )
% 0.96/1.32 ],
% 0.96/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 X ), Z ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 X ), Y ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 X ), Y ), Z ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 0.96/1.32 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), X ) ), =(
% 0.96/1.32 Y, X ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ), =( Z, Y ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ), Y ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 0.96/1.32 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), X ) ), =(
% 0.96/1.32 Y, X ) ],
% 0.96/1.32 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), Y ), X )
% 0.96/1.32 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Otop'( X ) ), =( hAPP(
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.33 ), Y ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 0.96/1.33 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), X )
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), X )
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.96/1.33 ), Y ), Z ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Otop__class_Otop'(
% 0.96/1.33 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.96/1.33 X ) ) ],
% 0.96/1.33 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ), Y ) ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), T ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.96/1.33 X ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.96/1.33 X ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 0.96/1.33 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ), Y ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( 'tc_nat' ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) )
% 0.96/1.33 , 'c_HOL_Oplus__class_Oplus'( T, U, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.33 X ), Y ), T ) ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.33 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.33 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.96/1.33 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.33 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.96/1.33 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.96/1.33 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.33 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.96/1.33 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.33 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.96/1.33 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.33 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.96/1.33 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.96/1.33 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.96/1.33 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Z, X
% 0.96/1.33 , 'tc_nat' ) ), Y ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ), Y ) ), ~( hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X, Z
% 0.96/1.33 , 'tc_nat' ) ), Y ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( 'tc_nat' ), X ), Z ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( 'tc_nat' ), X ), Y ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( Z, Y ) ) )
% 0.96/1.33 ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) )
% 0.96/1.33 ],
% 0.96/1.33 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 0.96/1.33 U ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Z ), Y ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Y ), Y ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Z ), Y ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 0.96/1.33 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 0.96/1.33 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) ), =( X, Z ) ],
% 0.96/1.33 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.96/1.33 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.96/1.33 X ) ) ), =( Z, T ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.96/1.33 X ) ) ), =( Z, T ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.96/1.33 X ) ) ), =( Y, T ) ],
% 0.96/1.33 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.96/1.33 X ), X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.96/1.33 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ), 'c_HOL_Oplus__class_Oplus'( T, U
% 0.96/1.33 , X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), U )
% 0.96/1.33 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.96/1.33 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 0.96/1.33 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ), 'c_HOL_Oplus__class_Oplus'( T, U
% 0.96/1.33 , X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), U ) ) ), ~(
% 0.96/1.33 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 0.96/1.33 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.33 , 'c_Pair'( 'v_a____', 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( hAPP( 'c_COMBC'( hAPP(
% 0.96/1.33 'c_COMBC'( 'c_COMBB'( 'c_HOL_OIf'( 'tc_fun'( 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.33 'tc_bool' ) ), hAPP( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'tc_nat' ), 'v_h____', 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oindi' ), 'tc_Arrow__Order__Mirabelle_Oindi'
% 0.96/1.33 , 'tc_nat', 'tc_bool' ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.96/1.33 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ), 'tc_bool', 'tc_fun'(
% 0.96/1.33 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 0.96/1.33 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.33 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ),
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.33 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.33 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'v_Lab____' ),
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.33 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'v_Lba____' ) ) ) ) )
% 0.96/1.33 , hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_nat' ), hAPP( 'v_x', X ) ), X )
% 0.96/1.33 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ),
% 0.96/1.33 'c_Finite__Set_Ocard'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_bool' ) ),
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oindi' ) ) ) ) ],
% 0.96/1.33 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.33 , 'c_Pair'( 'v_a____', 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( hAPP( 'c_COMBC'( hAPP(
% 0.96/1.33 'c_COMBC'( 'c_COMBB'( 'c_HOL_OIf'( 'tc_fun'( 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.33 'tc_bool' ) ), hAPP( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'tc_nat' ), 'v_h____', 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oindi' ), 'tc_Arrow__Order__Mirabelle_Oindi'
% 0.96/1.33 , 'tc_nat', 'tc_bool' ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.96/1.33 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ), 'tc_bool', 'tc_fun'(
% 0.96/1.33 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 0.96/1.33 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.33 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ),
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.33 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.33 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'v_Lab____' ),
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.33 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'v_Lba____' ) ) ) ) )
% 0.96/1.33 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.33 , 'c_Pair'( 'v_b____', 'v_a____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( hAPP( 'c_COMBC'( hAPP(
% 0.96/1.33 'c_COMBC'( 'c_COMBB'( 'c_HOL_OIf'( 'tc_fun'( 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.33 'tc_bool' ) ), hAPP( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'tc_nat' ), 'v_h____', 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oindi' ), 'tc_Arrow__Order__Mirabelle_Oindi'
% 0.96/1.33 , 'tc_nat', 'tc_bool' ), hAPP( 'v_x', X ) ), 'tc_bool', 'tc_fun'(
% 0.96/1.33 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 0.96/1.33 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.33 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ),
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.33 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.33 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'v_Lab____' ),
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.33 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'v_Lba____' ) ) ) ) )
% 0.96/1.33 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ),
% 0.96/1.33 'c_Finite__Set_Ocard'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_bool' ) ),
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oindi' ) ) ) ) ],
% 0.96/1.33 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.33 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 0.96/1.33 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.33 'class_Orderings_Opreorder'( Y ) ) ],
% 0.96/1.33 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.33 'class_Orderings_Oorder'( Y ) ) ],
% 0.96/1.33 [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Otop'(
% 0.96/1.33 Y ) ) ],
% 0.96/1.33 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.96/1.33 Y ) ) ],
% 0.96/1.33 [ 'class_HOL_Ouminus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ouminus'( Y ) )
% 0.96/1.33 ],
% 0.96/1.33 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.96/1.33 ],
% 0.96/1.33 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.96/1.33 ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.96/1.33 [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 0.96/1.33 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.96/1.33 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.96/1.33 [ 'class_Orderings_Otop'( 'tc_bool' ) ],
% 0.96/1.33 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.96/1.33 [ 'class_HOL_Ouminus'( 'tc_bool' ) ],
% 0.96/1.33 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 0.96/1.33 U ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ hBOOL( 'c_fequal'( X, X, Y ) ) ],
% 0.96/1.33 [ =( X, Y ), ~( hBOOL( 'c_fequal'( X, Y, Z ) ) ) ]
% 0.96/1.33 ] .
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 percentage equality = 0.170659, percentage horn = 0.852697
% 0.96/1.33 This is a problem with some equality
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 Options Used:
% 0.96/1.33
% 0.96/1.33 useres = 1
% 0.96/1.33 useparamod = 1
% 0.96/1.33 useeqrefl = 1
% 0.96/1.33 useeqfact = 1
% 0.96/1.33 usefactor = 1
% 0.96/1.33 usesimpsplitting = 0
% 0.96/1.33 usesimpdemod = 5
% 0.96/1.49 usesimpres = 3
% 0.96/1.49
% 0.96/1.49 resimpinuse = 1000
% 0.96/1.49 resimpclauses = 20000
% 0.96/1.49 substype = eqrewr
% 0.96/1.49 backwardsubs = 1
% 0.96/1.49 selectoldest = 5
% 0.96/1.49
% 0.96/1.49 litorderings [0] = split
% 0.96/1.49 litorderings [1] = extend the termordering, first sorting on arguments
% 0.96/1.49
% 0.96/1.49 termordering = kbo
% 0.96/1.49
% 0.96/1.49 litapriori = 0
% 0.96/1.49 termapriori = 1
% 0.96/1.49 litaposteriori = 0
% 0.96/1.49 termaposteriori = 0
% 0.96/1.49 demodaposteriori = 0
% 0.96/1.49 ordereqreflfact = 0
% 0.96/1.49
% 0.96/1.49 litselect = negord
% 0.96/1.49
% 0.96/1.49 maxweight = 15
% 0.96/1.49 maxdepth = 30000
% 0.96/1.49 maxlength = 115
% 0.96/1.49 maxnrvars = 195
% 0.96/1.49 excuselevel = 1
% 0.96/1.49 increasemaxweight = 1
% 0.96/1.49
% 0.96/1.49 maxselected = 10000000
% 0.96/1.49 maxnrclauses = 10000000
% 0.96/1.49
% 0.96/1.49 showgenerated = 0
% 0.96/1.49 showkept = 0
% 0.96/1.49 showselected = 0
% 0.96/1.49 showdeleted = 0
% 0.96/1.49 showresimp = 1
% 0.96/1.49 showstatus = 2000
% 0.96/1.49
% 0.96/1.49 prologoutput = 1
% 0.96/1.49 nrgoals = 5000000
% 0.96/1.49 totalproof = 1
% 0.96/1.49
% 0.96/1.49 Symbols occurring in the translation:
% 0.96/1.49
% 0.96/1.49 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.96/1.49 . [1, 2] (w:1, o:111, a:1, s:1, b:0),
% 0.96/1.49 ! [4, 1] (w:0, o:60, a:1, s:1, b:0),
% 0.96/1.49 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.96/1.49 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.96/1.49 'tc_nat' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.96/1.49 'c_HOL_Oord__class_Oless' [40, 1] (w:1, o:65, a:1, s:1, b:0),
% 0.96/1.49 'c_HOL_Ozero__class_Ozero' [41, 1] (w:1, o:66, a:1, s:1, b:0),
% 0.96/1.49 hAPP [42, 2] (w:1, o:136, a:1, s:1, b:0),
% 0.96/1.49 'tc_bool' [44, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.96/1.49 'tc_fun' [45, 2] (w:1, o:137, a:1, s:1, b:0),
% 0.96/1.49 'c_Orderings_Obot__class_Obot' [46, 1] (w:1, o:67, a:1, s:1, b:0),
% 0.96/1.49 'c_Finite__Set_Ocard' [47, 2] (w:1, o:138, a:1, s:1, b:0),
% 0.96/1.49 hBOOL [48, 1] (w:1, o:68, a:1, s:1, b:0),
% 0.96/1.49 'class_OrderedGroup_Olordered__ab__group__add' [49, 1] (w:1, o:69, a:
% 0.96/1.49 1, s:1, b:0),
% 0.96/1.49 'c_lessequals' [50, 1] (w:1, o:70, a:1, s:1, b:0),
% 0.96/1.49 'c_HOL_Ouminus__class_Ouminus' [53, 2] (w:1, o:139, a:1, s:1, b:0),
% 0.96/1.49 'c_HOL_Oplus__class_Oplus' [54, 3] (w:1, o:146, a:1, s:1, b:0),
% 0.96/1.49 'c_Orderings_Otop__class_Otop' [55, 1] (w:1, o:71, a:1, s:1, b:0),
% 0.96/1.49 'class_OrderedGroup_Oab__group__add' [56, 1] (w:1, o:72, a:1, s:1, b:
% 0.96/1.49 0),
% 0.96/1.49 'class_OrderedGroup_Ogroup__add' [60, 1] (w:1, o:73, a:1, s:1, b:0),
% 0.96/1.49
% 0.96/1.49 'class_OrderedGroup_Opordered__ab__group__add' [61, 1] (w:1, o:75, a:
% 0.96/1.49 1, s:1, b:0),
% 0.96/1.49 'class_Orderings_Obot' [62, 1] (w:1, o:76, a:1, s:1, b:0),
% 0.96/1.49 'c_in' [64, 1] (w:1, o:77, a:1, s:1, b:0),
% 0.96/1.49 'class_Lattices_Oboolean__algebra' [67, 1] (w:1, o:78, a:1, s:1, b:0)
% 0.96/1.49 ,
% 0.96/1.49 'class_Ring__and__Field_Ofield' [68, 1] (w:1, o:79, a:1, s:1, b:0),
% 0.96/1.49 'c_HOL_Oinverse__class_Odivide' [69, 3] (w:1, o:147, a:1, s:1, b:0),
% 0.96/1.49
% 0.96/1.49 'class_Ring__and__Field_Odivision__by__zero' [70, 1] (w:1, o:81, a:1
% 0.96/1.49 , s:1, b:0),
% 0.96/1.49 'class_OrderedGroup_Oordered__ab__group__add' [71, 1] (w:1, o:74, a:1
% 0.96/1.49 , s:1, b:0),
% 0.96/1.49 'c_Set_Oimage' [74, 4] (w:1, o:162, a:1, s:1, b:0),
% 0.96/1.49 'class_Orderings_Oorder' [75, 1] (w:1, o:82, a:1, s:1, b:0),
% 0.96/1.49 'c_SetInterval_Oord__class_OatLeastLessThan' [76, 3] (w:1, o:152, a:1
% 0.96/1.49 , s:1, b:0),
% 0.96/1.49 'c_Set_Ovimage' [77, 4] (w:1, o:163, a:1, s:1, b:0),
% 0.96/1.49 'c_Fun_Oinj__on' [78, 4] (w:1, o:164, a:1, s:1, b:0),
% 0.96/1.49 't_a' [79, 0] (w:1, o:27, a:1, s:1, b:0),
% 0.96/1.49 'v_x' [80, 0] (w:1, o:28, a:1, s:1, b:0),
% 0.96/1.49 'c_Relation_OImage' [82, 4] (w:1, o:161, a:1, s:1, b:0),
% 0.96/1.49 'c_Relation_Ototal__on' [85, 3] (w:1, o:148, a:1, s:1, b:0),
% 0.96/1.49 'class_HOL_Ouminus' [86, 1] (w:1, o:83, a:1, s:1, b:0),
% 0.96/1.49 'class_Ring__and__Field_Oordered__idom' [87, 1] (w:1, o:86, a:1, s:1
% 0.96/1.49 , b:0),
% 0.96/1.49 'c_Relation_OId__on' [88, 2] (w:1, o:140, a:1, s:1, b:0),
% 0.96/1.49 'c_Relation_ORange' [89, 3] (w:1, o:149, a:1, s:1, b:0),
% 0.96/1.49 'class_Ring__and__Field_Oordered__semidom' [90, 1] (w:1, o:87, a:1
% 0.96/1.49 , s:1, b:0),
% 0.96/1.49 'c_Power_Opower__class_Opower' [92, 3] (w:1, o:156, a:1, s:1, b:0),
% 0.96/1.49 'c_Fun_Ofun__upd' [94, 5] (w:1, o:168, a:1, s:1, b:0),
% 0.96/1.49 'class_Ring__and__Field_Oordered__field' [96, 1] (w:1, o:88, a:1, s:1
% 0.96/1.49 , b:0),
% 0.96/1.49 'c_HOL_Oone__class_Oone' [97, 1] (w:1, o:89, a:1, s:1, b:0),
% 0.96/1.49 'c_Relation_Orefl__on' [98, 3] (w:1, o:150, a:1, s:1, b:0),
% 7.91/8.31 'class_Ring__and__Field_Osemiring__0' [99, 1] (w:1, o:91, a:1, s:1
% 7.91/8.31 , b:0),
% 7.91/8.31 'class_Power_Opower' [100, 1] (w:1, o:105, a:1, s:1, b:0),
% 7.91/8.31 'c_Orderings_Oorder' [103, 3] (w:1, o:153, a:1, s:1, b:0),
% 7.91/8.31 'class_Ring__and__Field_Ozero__neq__one' [104, 1] (w:1, o:106, a:1
% 7.91/8.31 , s:1, b:0),
% 7.91/8.31 'class_Ring__and__Field_Ono__zero__divisors' [105, 1] (w:1, o:85, a:1
% 7.91/8.31 , s:1, b:0),
% 7.91/8.31 'class_Ring__and__Field_Omult__zero' [106, 1] (w:1, o:84, a:1, s:1
% 7.91/8.31 , b:0),
% 7.91/8.31 'c_Relation_ODomain' [107, 3] (w:1, o:151, a:1, s:1, b:0),
% 7.91/8.31 'c_Orderings_Opreorder' [108, 3] (w:1, o:154, a:1, s:1, b:0),
% 7.91/8.31 'c_Orderings_Olinorder' [109, 3] (w:1, o:155, a:1, s:1, b:0),
% 7.91/8.31 'c_HOL_OIf' [110, 1] (w:1, o:107, a:1, s:1, b:0),
% 7.91/8.31 'c_COMBC' [111, 4] (w:1, o:165, a:1, s:1, b:0),
% 7.91/8.31 'c_COMBB' [112, 5] (w:1, o:169, a:1, s:1, b:0),
% 7.91/8.31 'c_Equiv__Relations_Oequiv' [113, 3] (w:1, o:157, a:1, s:1, b:0),
% 7.91/8.31 'class_Ring__and__Field_Oring__1__no__zero__divisors' [115, 1] (w:1
% 7.91/8.31 , o:90, a:1, s:1, b:0),
% 7.91/8.31 'class_Ring__and__Field_Ocomm__semiring__1' [116, 1] (w:1, o:80, a:1
% 7.91/8.31 , s:1, b:0),
% 7.91/8.31 'class_Orderings_Opreorder' [118, 1] (w:1, o:92, a:1, s:1, b:0),
% 7.91/8.31 'class_OrderedGroup_Opordered__comm__monoid__add' [119, 1] (w:1, o:93
% 7.91/8.31 , a:1, s:1, b:0),
% 7.91/8.31 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [120, 1]
% 7.91/8.31 (w:1, o:94, a:1, s:1, b:0),
% 7.91/8.31 'class_OrderedGroup_Ocomm__monoid__add' [121, 1] (w:1, o:95, a:1, s:1
% 7.91/8.31 , b:0),
% 7.91/8.31 'tc_prod' [122, 2] (w:1, o:141, a:1, s:1, b:0),
% 7.91/8.31 'c_Pair' [123, 4] (w:1, o:166, a:1, s:1, b:0),
% 7.91/8.31 'c_List_Oall__from__to__nat' [128, 3] (w:1, o:158, a:1, s:1, b:0),
% 7.91/8.31 'tc_Arrow__Order__Mirabelle_Oalt' [129, 0] (w:1, o:45, a:1, s:1, b:0)
% 7.91/8.31 ,
% 7.91/8.31 'c_Arrow__Order__Mirabelle_Omkbot' [131, 2] (w:1, o:142, a:1, s:1, b:
% 7.91/8.31 0),
% 7.91/8.31 'class_Ring__and__Field_Oidom' [135, 1] (w:1, o:108, a:1, s:1, b:0),
% 7.91/8.31
% 7.91/8.31 'class_Int_Onumber__ring' [136, 1] (w:1, o:109, a:1, s:1, b:0),
% 7.91/8.31 'class_OrderedGroup_Omonoid__add' [137, 1] (w:1, o:96, a:1, s:1, b:0)
% 7.91/8.31 ,
% 7.91/8.31 'class_OrderedGroup_Omonoid__mult' [138, 1] (w:1, o:97, a:1, s:1, b:0
% 7.91/8.31 ),
% 7.91/8.31 'c_Arrow__Order__Mirabelle_Omktop' [139, 2] (w:1, o:143, a:1, s:1, b:
% 7.91/8.31 0),
% 7.91/8.31 'v_h____' [140, 0] (w:1, o:48, a:1, s:1, b:0),
% 7.91/8.31 'tc_Arrow__Order__Mirabelle_Oindi' [141, 0] (w:1, o:49, a:1, s:1, b:0
% 7.91/8.31 ),
% 7.91/8.31 'c_fequal' [142, 3] (w:1, o:159, a:1, s:1, b:0),
% 7.91/8.31 'c_Product__Type_OSigma' [143, 4] (w:1, o:167, a:1, s:1, b:0),
% 7.91/8.31 'c_Wellfounded_Oacc' [144, 2] (w:1, o:144, a:1, s:1, b:0),
% 7.91/8.31 'class_Orderings_Olinorder' [145, 1] (w:1, o:98, a:1, s:1, b:0),
% 7.91/8.31 'c_Wellfounded_Omeasure' [146, 2] (w:1, o:145, a:1, s:1, b:0),
% 7.91/8.31 'c_Wellfounded_Omlex__prod' [147, 3] (w:1, o:160, a:1, s:1, b:0),
% 7.91/8.31 'v_Lab____' [148, 0] (w:1, o:50, a:1, s:1, b:0),
% 7.91/8.31 'v_Lba____' [149, 0] (w:1, o:51, a:1, s:1, b:0),
% 7.91/8.31 'c_Arrow__Order__Mirabelle_OProf' [150, 0] (w:1, o:52, a:1, s:1, b:0)
% 7.91/8.31 ,
% 7.91/8.31 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [151, 1]
% 7.91/8.31 (w:1, o:99, a:1, s:1, b:0),
% 7.91/8.31 'class_Orderings_Otop' [155, 1] (w:1, o:100, a:1, s:1, b:0),
% 7.91/8.31 'class_OrderedGroup_Opordered__ab__semigroup__add' [156, 1] (w:1, o:
% 7.91/8.31 101, a:1, s:1, b:0),
% 7.91/8.31 'class_OrderedGroup_Oab__semigroup__add' [158, 1] (w:1, o:102, a:1
% 7.91/8.31 , s:1, b:0),
% 7.91/8.31 'class_OrderedGroup_Ocancel__ab__semigroup__add' [161, 1] (w:1, o:103
% 7.91/8.31 , a:1, s:1, b:0),
% 7.91/8.31 'class_OrderedGroup_Ocancel__semigroup__add' [162, 1] (w:1, o:104, a:
% 7.91/8.31 1, s:1, b:0),
% 7.91/8.31 'v_a____' [163, 0] (w:1, o:54, a:1, s:1, b:0),
% 7.91/8.31 'v_b____' [164, 0] (w:1, o:55, a:1, s:1, b:0),
% 7.91/8.31 'v_F' [165, 1] (w:1, o:110, a:1, s:1, b:0).
% 7.91/8.31
% 7.91/8.31
% 7.91/8.31 Starting Search:
% 7.91/8.31
% 7.91/8.31 Resimplifying inuse:
% 7.91/8.31 Done
% 7.91/8.31
% 7.91/8.31
% 7.91/8.31 Intermediate Status:
% 7.91/8.31 Generated: 3188
% 7.91/8.31 Kept: 2020
% 7.91/8.31 Inuse: 159
% 7.91/8.31 Deleted: 2
% 7.91/8.31 Deletedinuse: 0
% 7.91/8.31
% 7.91/8.31 Resimplifying inuse:
% 7.91/8.31 Done
% 7.91/8.31
% 7.91/8.31 Resimplifying inuse:
% 7.91/8.31 Done
% 7.91/8.31
% 7.91/8.31
% 7.91/8.31 Intermediate Status:
% 7.91/8.31 Generated: 7917
% 7.91/8.31 Kept: 4024
% 7.91/8.31 Inuse: 263
% 7.91/8.31 Deleted: 4
% 7.91/8.31 Deletedinuse: 0
% 7.91/8.31
% 7.91/8.31 Resimplifying inuse:
% 7.91/8.31 Done
% 7.91/8.31
% 7.91/8.31 Resimplifying inuse:
% 7.91/8.31 Done
% 7.91/8.31
% 7.91/8.31
% 7.91/8.31 Intermediate Status:
% 7.91/8.31 Generated: 15023
% 7.91/8.31 Kept: 6272
% 34.39/34.78 Inuse: 299
% 34.39/34.78 Deleted: 8
% 34.39/34.78 Deletedinuse: 1
% 34.39/34.78
% 34.39/34.78 Resimplifying inuse:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78 Resimplifying inuse:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78
% 34.39/34.78 Intermediate Status:
% 34.39/34.78 Generated: 25107
% 34.39/34.78 Kept: 8313
% 34.39/34.78 Inuse: 339
% 34.39/34.78 Deleted: 8
% 34.39/34.78 Deletedinuse: 1
% 34.39/34.78
% 34.39/34.78 Resimplifying inuse:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78 Resimplifying inuse:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78
% 34.39/34.78 Intermediate Status:
% 34.39/34.78 Generated: 33692
% 34.39/34.78 Kept: 10321
% 34.39/34.78 Inuse: 369
% 34.39/34.78 Deleted: 9
% 34.39/34.78 Deletedinuse: 1
% 34.39/34.78
% 34.39/34.78 Resimplifying inuse:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78 Resimplifying inuse:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78
% 34.39/34.78 Intermediate Status:
% 34.39/34.78 Generated: 43013
% 34.39/34.78 Kept: 12371
% 34.39/34.78 Inuse: 427
% 34.39/34.78 Deleted: 10
% 34.39/34.78 Deletedinuse: 1
% 34.39/34.78
% 34.39/34.78 Resimplifying inuse:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78 Resimplifying inuse:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78
% 34.39/34.78 Intermediate Status:
% 34.39/34.78 Generated: 50301
% 34.39/34.78 Kept: 14474
% 34.39/34.78 Inuse: 475
% 34.39/34.78 Deleted: 13
% 34.39/34.78 Deletedinuse: 2
% 34.39/34.78
% 34.39/34.78 Resimplifying inuse:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78 Resimplifying inuse:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78
% 34.39/34.78 Intermediate Status:
% 34.39/34.78 Generated: 58544
% 34.39/34.78 Kept: 16507
% 34.39/34.78 Inuse: 535
% 34.39/34.78 Deleted: 24
% 34.39/34.78 Deletedinuse: 13
% 34.39/34.78
% 34.39/34.78 Resimplifying inuse:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78 Resimplifying inuse:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78
% 34.39/34.78 Intermediate Status:
% 34.39/34.78 Generated: 65844
% 34.39/34.78 Kept: 18524
% 34.39/34.78 Inuse: 575
% 34.39/34.78 Deleted: 29
% 34.39/34.78 Deletedinuse: 18
% 34.39/34.78
% 34.39/34.78 Resimplifying inuse:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78 Resimplifying clauses:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78
% 34.39/34.78 Intermediate Status:
% 34.39/34.78 Generated: 74780
% 34.39/34.78 Kept: 21103
% 34.39/34.78 Inuse: 610
% 34.39/34.78 Deleted: 384
% 34.39/34.78 Deletedinuse: 22
% 34.39/34.78
% 34.39/34.78 Resimplifying inuse:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78 Resimplifying inuse:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78
% 34.39/34.78 Intermediate Status:
% 34.39/34.78 Generated: 83120
% 34.39/34.78 Kept: 23157
% 34.39/34.78 Inuse: 635
% 34.39/34.78 Deleted: 386
% 34.39/34.78 Deletedinuse: 24
% 34.39/34.78
% 34.39/34.78 Resimplifying inuse:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78 Resimplifying inuse:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78
% 34.39/34.78 Intermediate Status:
% 34.39/34.78 Generated: 92611
% 34.39/34.78 Kept: 25384
% 34.39/34.78 Inuse: 665
% 34.39/34.78 Deleted: 390
% 34.39/34.78 Deletedinuse: 28
% 34.39/34.78
% 34.39/34.78 Resimplifying inuse:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78 Resimplifying inuse:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78
% 34.39/34.78 Intermediate Status:
% 34.39/34.78 Generated: 111457
% 34.39/34.78 Kept: 28212
% 34.39/34.78 Inuse: 695
% 34.39/34.78 Deleted: 390
% 34.39/34.78 Deletedinuse: 28
% 34.39/34.78
% 34.39/34.78 Resimplifying inuse:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78 Resimplifying inuse:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78
% 34.39/34.78 Intermediate Status:
% 34.39/34.78 Generated: 120573
% 34.39/34.78 Kept: 30347
% 34.39/34.78 Inuse: 710
% 34.39/34.78 Deleted: 390
% 34.39/34.78 Deletedinuse: 28
% 34.39/34.78
% 34.39/34.78
% 34.39/34.78 Intermediate Status:
% 34.39/34.78 Generated: 134267
% 34.39/34.78 Kept: 33284
% 34.39/34.78 Inuse: 720
% 34.39/34.78 Deleted: 390
% 34.39/34.78 Deletedinuse: 28
% 34.39/34.78
% 34.39/34.78 Resimplifying inuse:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78 Resimplifying inuse:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78
% 34.39/34.78 Intermediate Status:
% 34.39/34.78 Generated: 142860
% 34.39/34.78 Kept: 35285
% 34.39/34.78 Inuse: 744
% 34.39/34.78 Deleted: 390
% 34.39/34.78 Deletedinuse: 28
% 34.39/34.78
% 34.39/34.78 Resimplifying inuse:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78 Resimplifying inuse:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78
% 34.39/34.78 Intermediate Status:
% 34.39/34.78 Generated: 155685
% 34.39/34.78 Kept: 38052
% 34.39/34.78 Inuse: 770
% 34.39/34.78 Deleted: 390
% 34.39/34.78 Deletedinuse: 28
% 34.39/34.78
% 34.39/34.78 Resimplifying inuse:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78 Resimplifying inuse:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78
% 34.39/34.78 Intermediate Status:
% 34.39/34.78 Generated: 167752
% 34.39/34.78 Kept: 40391
% 34.39/34.78 Inuse: 790
% 34.39/34.78 Deleted: 390
% 34.39/34.78 Deletedinuse: 28
% 34.39/34.78
% 34.39/34.78 Resimplifying inuse:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78 Resimplifying clauses:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78 Resimplifying inuse:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78
% 34.39/34.78 Intermediate Status:
% 34.39/34.78 Generated: 176262
% 34.39/34.78 Kept: 42521
% 34.39/34.78 Inuse: 825
% 34.39/34.78 Deleted: 625
% 34.39/34.78 Deletedinuse: 28
% 34.39/34.78
% 34.39/34.78 Resimplifying inuse:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78 Resimplifying inuse:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78
% 34.39/34.78 Intermediate Status:
% 34.39/34.78 Generated: 187382
% 34.39/34.78 Kept: 44614
% 34.39/34.78 Inuse: 840
% 34.39/34.78 Deleted: 625
% 34.39/34.78 Deletedinuse: 28
% 34.39/34.78
% 34.39/34.78 Resimplifying inuse:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78
% 34.39/34.78 Intermediate Status:
% 34.39/34.78 Generated: 197882
% 34.39/34.78 Kept: 46778
% 34.39/34.78 Inuse: 855
% 34.39/34.78 Deleted: 630
% 34.39/34.78 Deletedinuse: 33
% 34.39/34.78
% 34.39/34.78 Resimplifying inuse:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78
% 34.39/34.78 Intermediate Status:
% 34.39/34.78 Generated: 217239
% 34.39/34.78 Kept: 50527
% 34.39/34.78 Inuse: 870
% 34.39/34.78 Deleted: 630
% 34.39/34.78 Deletedinuse: 33
% 34.39/34.78
% 34.39/34.78 Resimplifying inuse:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78 Resimplifying inuse:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78
% 34.39/34.78 Intermediate Status:
% 34.39/34.78 Generated: 231682
% 34.39/34.78 Kept: 54017
% 34.39/34.78 Inuse: 890
% 34.39/34.78 Deleted: 630
% 34.39/34.78 Deletedinuse: 33
% 34.39/34.78
% 34.39/34.78 Resimplifying inuse:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78 Resimplifying inuse:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78
% 34.39/34.78 Intermediate Status:
% 34.39/34.78 Generated: 239560
% 34.39/34.78 Kept: 56205
% 34.39/34.78 Inuse: 910
% 34.39/34.78 Deleted: 630
% 34.39/34.78 Deletedinuse: 33
% 34.39/34.78
% 34.39/34.78 Resimplifying inuse:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78 Resimplifying inuse:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78
% 34.39/34.78 Intermediate Status:
% 34.39/34.78 Generated: 258514
% 34.39/34.78 Kept: 58854
% 34.39/34.78 Inuse: 925
% 34.39/34.78 Deleted: 630
% 34.39/34.78 Deletedinuse: 33
% 34.39/34.78
% 34.39/34.78 Resimplifying inuse:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78 Resimplifying inuse:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78
% 34.39/34.78 Intermediate Status:
% 34.39/34.78 Generated: 274229
% 34.39/34.78 Kept: 62655
% 34.39/34.78 Inuse: 940
% 34.39/34.78 Deleted: 630
% 34.39/34.78 Deletedinuse: 33
% 34.39/34.78
% 34.39/34.78 Resimplifying inuse:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78 Resimplifying clauses:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78 Resimplifying inuse:
% 34.39/34.78 Done
% 34.39/34.78
% 34.39/34.78
% 34.39/34.78 Intermediate Status:
% 34.39/34.78 Generated: 284157
% 34.39/34.78 Kept: 64775
% 34.39/34.78 Inuse: 958
% 34.39/34.78 Deleted: 1351
% 34.39/34.78 Deletedinuse: 33
% 96.66/97.03
% 96.66/97.03 Resimplifying inuse:
% 96.66/97.03 Done
% 96.66/97.03
% 96.66/97.03
% 96.66/97.03 Intermediate Status:
% 96.66/97.03 Generated: 299206
% 96.66/97.03 Kept: 68158
% 96.66/97.03 Inuse: 965
% 96.66/97.03 Deleted: 1351
% 96.66/97.03 Deletedinuse: 33
% 96.66/97.03
% 96.66/97.03 Resimplifying inuse:
% 96.66/97.03 Done
% 96.66/97.03
% 96.66/97.03 Resimplifying inuse:
% 96.66/97.03 Done
% 96.66/97.03
% 96.66/97.03
% 96.66/97.03 Intermediate Status:
% 96.66/97.03 Generated: 324572
% 96.66/97.03 Kept: 71177
% 96.66/97.03 Inuse: 975
% 96.66/97.03 Deleted: 1351
% 96.66/97.03 Deletedinuse: 33
% 96.66/97.03
% 96.66/97.03 Resimplifying inuse:
% 96.66/97.03 Done
% 96.66/97.03
% 96.66/97.03 Resimplifying inuse:
% 96.66/97.03 Done
% 96.66/97.03
% 96.66/97.03
% 96.66/97.03 Intermediate Status:
% 96.66/97.03 Generated: 335557
% 96.66/97.03 Kept: 73511
% 96.66/97.03 Inuse: 995
% 96.66/97.03 Deleted: 1351
% 96.66/97.03 Deletedinuse: 33
% 96.66/97.03
% 96.66/97.03 Resimplifying inuse:
% 96.66/97.03 Done
% 96.66/97.03
% 96.66/97.03 Resimplifying inuse:
% 96.66/97.03 Done
% 96.66/97.03
% 96.66/97.03
% 96.66/97.03 Intermediate Status:
% 96.66/97.03 Generated: 346828
% 96.66/97.03 Kept: 75789
% 96.66/97.03 Inuse: 1010
% 96.66/97.03 Deleted: 1351
% 96.66/97.03 Deletedinuse: 33
% 96.66/97.03
% 96.66/97.03 Resimplifying inuse:
% 96.66/97.03 Done
% 96.66/97.03
% 96.66/97.03 Resimplifying inuse:
% 96.66/97.03 Done
% 96.66/97.03
% 96.66/97.03
% 96.66/97.03 Intermediate Status:
% 96.66/97.03 Generated: 357358
% 96.66/97.03 Kept: 78181
% 96.66/97.03 Inuse: 1025
% 96.66/97.03 Deleted: 1351
% 96.66/97.03 Deletedinuse: 33
% 96.66/97.03
% 96.66/97.03 Resimplifying inuse:
% 96.66/97.03 Done
% 96.66/97.03
% 96.66/97.03 Resimplifying inuse:
% 96.66/97.03 Done
% 96.66/97.03
% 96.66/97.03
% 96.66/97.03 Intermediate Status:
% 96.66/97.03 Generated: 368742
% 96.66/97.03 Kept: 80684
% 96.66/97.03 Inuse: 1040
% 96.66/97.03 Deleted: 1351
% 96.66/97.03 Deletedinuse: 33
% 96.66/97.03
% 96.66/97.03 Resimplifying inuse:
% 96.66/97.03 Done
% 96.66/97.03
% 96.66/97.03 Resimplifying inuse:
% 96.66/97.03 Done
% 96.66/97.03
% 96.66/97.03
% 96.66/97.03 Intermediate Status:
% 96.66/97.03 Generated: 384524
% 96.66/97.03 Kept: 84174
% 96.66/97.03 Inuse: 1060
% 96.66/97.03 Deleted: 1351
% 96.66/97.03 Deletedinuse: 33
% 96.66/97.03
% 96.66/97.03 Resimplifying inuse:
% 96.66/97.03 Done
% 96.66/97.03
% 96.66/97.03 Resimplifying clauses:
% 96.66/97.03 Done
% 96.66/97.03
% 96.66/97.03 Resimplifying inuse:
% 96.66/97.03 Done
% 96.66/97.03
% 96.66/97.03
% 96.66/97.03 Intermediate Status:
% 96.66/97.03 Generated: 394792
% 96.66/97.03 Kept: 86294
% 96.66/97.03 Inuse: 1080
% 96.66/97.03 Deleted: 1436
% 96.66/97.03 Deletedinuse: 33
% 96.66/97.03
% 96.66/97.03 Resimplifying inuse:
% 96.66/97.03 Done
% 96.66/97.03
% 96.66/97.03
% 96.66/97.03 Intermediate Status:
% 96.66/97.03 Generated: 403244
% 96.66/97.03 Kept: 88470
% 96.66/97.03 Inuse: 1095
% 96.66/97.03 Deleted: 1436
% 96.66/97.03 Deletedinuse: 33
% 96.66/97.03
% 96.66/97.03 Resimplifying inuse:
% 96.66/97.03 Done
% 96.66/97.03
% 96.66/97.03 Resimplifying inuse:
% 96.66/97.03 Done
% 96.66/97.03
% 96.66/97.03
% 96.66/97.03 Intermediate Status:
% 96.66/97.03 Generated: 411231
% 96.66/97.03 Kept: 90501
% 96.66/97.03 Inuse: 1115
% 96.66/97.03 Deleted: 1436
% 96.66/97.03 Deletedinuse: 33
% 96.66/97.03
% 96.66/97.03 Resimplifying inuse:
% 96.66/97.03 Done
% 96.66/97.03
% 96.66/97.03 Resimplifying inuse:
% 96.66/97.03 Done
% 96.66/97.03
% 96.66/97.03
% 96.66/97.03 Intermediate Status:
% 96.66/97.03 Generated: 421239
% 96.66/97.03 Kept: 92522
% 96.66/97.03 Inuse: 1142
% 96.66/97.03 Deleted: 1436
% 96.66/97.03 Deletedinuse: 33
% 96.66/97.03
% 96.66/97.03 Resimplifying inuse:
% 96.66/97.03 Done
% 96.66/97.03
% 96.66/97.03
% 96.66/97.03 Intermediate Status:
% 96.66/97.03 Generated: 429125
% 96.66/97.03 Kept: 95029
% 96.66/97.03 Inuse: 1146
% 96.66/97.03 Deleted: 1440
% 96.66/97.03 Deletedinuse: 33
% 96.66/97.03
% 96.66/97.03 Resimplifying inuse:
% 96.66/97.03 Done
% 96.66/97.04
% 96.66/97.04
% 96.66/97.04 Intermediate Status:
% 96.66/97.04 Generated: 441453
% 96.66/97.04 Kept: 97867
% 96.66/97.04 Inuse: 1154
% 96.66/97.04 Deleted: 1454
% 96.66/97.04 Deletedinuse: 35
% 96.66/97.04
% 96.66/97.04 Resimplifying inuse:
% 96.66/97.04 Done
% 96.66/97.04
% 96.66/97.04
% 96.66/97.04 Intermediate Status:
% 96.66/97.04 Generated: 447710
% 96.66/97.04 Kept: 100149
% 96.66/97.04 Inuse: 1157
% 96.66/97.04 Deleted: 1459
% 96.66/97.04 Deletedinuse: 38
% 96.66/97.04
% 96.66/97.04 Resimplifying inuse:
% 96.66/97.04 Done
% 96.66/97.04
% 96.66/97.04
% 96.66/97.04 Intermediate Status:
% 96.66/97.04 Generated: 453987
% 96.66/97.04 Kept: 102669
% 96.66/97.04 Inuse: 1158
% 96.66/97.04 Deleted: 1463
% 96.66/97.04 Deletedinuse: 38
% 96.66/97.04
% 96.66/97.04 Resimplifying inuse:
% 96.66/97.04 Done
% 96.66/97.04
% 96.66/97.04
% 96.66/97.04 Intermediate Status:
% 96.66/97.04 Generated: 460610
% 96.66/97.04 Kept: 104679
% 96.66/97.04 Inuse: 1159
% 96.66/97.04 Deleted: 1467
% 96.66/97.04 Deletedinuse: 38
% 96.66/97.04
% 96.66/97.04 Resimplifying inuse:
% 96.66/97.04 Done
% 96.66/97.04
% 96.66/97.04 Resimplifying clauses:
% 96.66/97.04 Done
% 96.66/97.04
% 96.66/97.04 Resimplifying inuse:
% 96.66/97.04 Done
% 96.66/97.04
% 96.66/97.04
% 96.66/97.04 Intermediate Status:
% 96.66/97.04 Generated: 479424
% 96.66/97.04 Kept: 106740
% 96.66/97.04 Inuse: 1165
% 96.66/97.04 Deleted: 2347
% 96.66/97.04 Deletedinuse: 41
% 96.66/97.04
% 96.66/97.04
% 96.66/97.04 Intermediate Status:
% 96.66/97.04 Generated: 491976
% 96.66/97.04 Kept: 110057
% 96.66/97.04 Inuse: 1166
% 96.66/97.04 Deleted: 2351
% 96.66/97.04 Deletedinuse: 41
% 96.66/97.04
% 96.66/97.04 Resimplifying inuse:
% 96.66/97.04 Done
% 96.66/97.04
% 96.66/97.04
% 96.66/97.04 Intermediate Status:
% 96.66/97.04 Generated: 531240
% 96.66/97.04 Kept: 116453
% 96.66/97.04 Inuse: 1167
% 96.66/97.04 Deleted: 2355
% 96.66/97.04 Deletedinuse: 41
% 96.66/97.04
% 96.66/97.04 Resimplifying inuse:
% 96.66/97.04 Done
% 96.66/97.04
% 96.66/97.04
% 96.66/97.04 Intermediate Status:
% 96.66/97.04 Generated: 571698
% 96.66/97.04 Kept: 122913
% 96.66/97.04 Inuse: 1168
% 96.66/97.04 Deleted: 2359
% 96.66/97.04 Deletedinuse: 41
% 96.66/97.04
% 96.66/97.04 Resimplifying inuse:
% 96.66/97.04 Done
% 96.66/97.04
% 96.66/97.04
% 96.66/97.04 Intermediate Status:
% 96.66/97.04 Generated: 588217
% 96.66/97.04 Kept: 126882
% 96.66/97.04 Inuse: 1170
% 96.66/97.04 Deleted: 2367
% 96.66/97.04 Deletedinuse: 41
% 96.66/97.04
% 96.66/97.04 Resimplifying inuse:
% 96.66/97.04 Done
% 96.66/97.04
% 96.66/97.04 Resimplifying clauses:
% 96.66/97.04 Done
% 96.66/97.04
% 96.66/97.04
% 96.66/97.04 Intermediate Status:
% 96.66/97.04 Generated: 638551
% 96.66/97.04 Kept: 134146
% 96.66/97.04 Inuse: 1175
% 96.66/97.04 Deleted: 2490
% 96.66/97.04 Deletedinuse: 41
% 96.66/97.04
% 96.66/97.04 Resimplifying inuse:
% 96.66/97.04 Done
% 96.66/97.04
% 96.66/97.04
% 96.66/97.04 Intermediate Status:
% 96.66/97.04 Generated: 683357
% 96.66/97.04 Kept: 140841
% 96.66/97.04 Inuse: 1176
% 96.66/97.04 Deleted: 2495
% 96.66/97.04 Deletedinuse: 42
% 96.66/97.04
% 96.66/97.04 Resimplifying inuse:
% 96.66/97.04 Done
% 96.66/97.04
% 96.66/97.04 Resimplifying inuse:
% 96.66/97.04 Done
% 96.66/97.04
% 96.66/97.04
% 96.66/97.04 Intermediate Status:
% 96.66/97.04 Generated: 690709
% 96.66/97.04 Kept: 143211
% 96.66/97.04 Inuse: 1179
% 96.66/97.04 Deleted: 2507
% 96.66/97.04 Deletedinuse: 42
% 96.66/97.04
% 96.66/97.04 Resimplifying inuse:
% 96.66/97.04 Done
% 96.66/97.04
% 96.66/97.04 Resimplifying inuse:
% 96.66/97.04 Done
% 96.66/97.04
% 96.66/97.04
% 96.66/97.04 Intermediate Status:
% 96.66/97.04 Generated: 697648
% 96.66/97.04 Kept: 145767
% 96.66/97.04 Inuse: 1184
% 96.66/97.04 Deleted: 2517
% 96.66/97.04 Deletedinuse: 42
% 96.66/97.04
% 96.66/97.04 Resimplifying inuse:
% 96.66/97.04 Done
% 96.66/97.04
% 96.66/97.04 Resimplifying inuse:
% 96.66/97.04 Done
% 182.52/182.93
% 182.52/182.93 Resimplifying clauses:
% 182.52/182.93 Done
% 182.52/182.93
% 182.52/182.93
% 182.52/182.93 Intermediate Status:
% 182.52/182.93 Generated: 703434
% 182.52/182.93 Kept: 147778
% 182.52/182.93 Inuse: 1194
% 182.52/182.93 Deleted: 2683
% 182.52/182.93 Deletedinuse: 42
% 182.52/182.93
% 182.52/182.93 Resimplifying inuse:
% 182.52/182.93 Done
% 182.52/182.93
% 182.52/182.93 Resimplifying inuse:
% 182.52/182.93 Done
% 182.52/182.93
% 182.52/182.93
% 182.52/182.93 Intermediate Status:
% 182.52/182.93 Generated: 710993
% 182.52/182.93 Kept: 150115
% 182.52/182.93 Inuse: 1209
% 182.52/182.93 Deleted: 2683
% 182.52/182.93 Deletedinuse: 42
% 182.52/182.93
% 182.52/182.93 Resimplifying inuse:
% 182.52/182.93 Done
% 182.52/182.93
% 182.52/182.93
% 182.52/182.93 Intermediate Status:
% 182.52/182.93 Generated: 735640
% 182.52/182.93 Kept: 153329
% 182.52/182.93 Inuse: 1219
% 182.52/182.93 Deleted: 2683
% 182.52/182.93 Deletedinuse: 42
% 182.52/182.93
% 182.52/182.93 Resimplifying inuse:
% 182.52/182.93 Done
% 182.52/182.93
% 182.52/182.93 Resimplifying inuse:
% 182.52/182.93 Done
% 182.52/182.93
% 182.52/182.93
% 182.52/182.93 Intermediate Status:
% 182.52/182.93 Generated: 744012
% 182.52/182.93 Kept: 155803
% 182.52/182.93 Inuse: 1234
% 182.52/182.93 Deleted: 2683
% 182.52/182.93 Deletedinuse: 42
% 182.52/182.93
% 182.52/182.93 Resimplifying inuse:
% 182.52/182.93 Done
% 182.52/182.93
% 182.52/182.93
% 182.52/182.93 Intermediate Status:
% 182.52/182.93 Generated: 752325
% 182.52/182.93 Kept: 158114
% 182.52/182.93 Inuse: 1249
% 182.52/182.93 Deleted: 2683
% 182.52/182.93 Deletedinuse: 42
% 182.52/182.93
% 182.52/182.93 Resimplifying inuse:
% 182.52/182.93 Done
% 182.52/182.93
% 182.52/182.93 Resimplifying inuse:
% 182.52/182.93 Done
% 182.52/182.93
% 182.52/182.93
% 182.52/182.93 Intermediate Status:
% 182.52/182.93 Generated: 760354
% 182.52/182.93 Kept: 160531
% 182.52/182.93 Inuse: 1264
% 182.52/182.93 Deleted: 2683
% 182.52/182.93 Deletedinuse: 42
% 182.52/182.93
% 182.52/182.93 Resimplifying inuse:
% 182.52/182.93 Done
% 182.52/182.93
% 182.52/182.93
% 182.52/182.93 Intermediate Status:
% 182.52/182.93 Generated: 769113
% 182.52/182.93 Kept: 162534
% 182.52/182.93 Inuse: 1274
% 182.52/182.93 Deleted: 2683
% 182.52/182.93 Deletedinuse: 42
% 182.52/182.93
% 182.52/182.93 Resimplifying inuse:
% 182.52/182.93 Done
% 182.52/182.93
% 182.52/182.93 Resimplifying inuse:
% 182.52/182.93 Done
% 182.52/182.93
% 182.52/182.93
% 182.52/182.93 Intermediate Status:
% 182.52/182.93 Generated: 778991
% 182.52/182.93 Kept: 164845
% 182.52/182.93 Inuse: 1289
% 182.52/182.93 Deleted: 2683
% 182.52/182.93 Deletedinuse: 42
% 182.52/182.93
% 182.52/182.93 Resimplifying inuse:
% 182.52/182.93 Done
% 182.52/182.93
% 182.52/182.93
% 182.52/182.93 Intermediate Status:
% 182.52/182.93 Generated: 791746
% 182.52/182.93 Kept: 167173
% 182.52/182.93 Inuse: 1309
% 182.52/182.93 Deleted: 2683
% 182.52/182.93 Deletedinuse: 42
% 182.52/182.93
% 182.52/182.93 Resimplifying inuse:
% 182.52/182.93 Done
% 182.52/182.93
% 182.52/182.93 Resimplifying clauses:
% 182.52/182.93 Done
% 182.52/182.93
% 182.52/182.93 Resimplifying inuse:
% 182.52/182.93 Done
% 182.52/182.93
% 182.52/182.93
% 182.52/182.93 Intermediate Status:
% 182.52/182.93 Generated: 800172
% 182.52/182.93 Kept: 169176
% 182.52/182.93 Inuse: 1321
% 182.52/182.93 Deleted: 2738
% 182.52/182.93 Deletedinuse: 42
% 182.52/182.93
% 182.52/182.93 Resimplifying inuse:
% 182.52/182.93 Done
% 182.52/182.93
% 182.52/182.93 Resimplifying inuse:
% 182.52/182.93 Done
% 182.52/182.93
% 182.52/182.93
% 182.52/182.93 Intermediate Status:
% 182.52/182.93 Generated: 810759
% 182.52/182.93 Kept: 172035
% 182.52/182.93 Inuse: 1334
% 182.52/182.93 Deleted: 2738
% 182.52/182.93 Deletedinuse: 42
% 182.52/182.93
% 182.52/182.93 Resimplifying inuse:
% 182.52/182.93 Done
% 182.52/182.93
% 182.52/182.93 Resimplifying inuse:
% 182.52/182.93 Done
% 182.52/182.93
% 182.52/182.93
% 182.52/182.93 Intermediate Status:
% 182.52/182.93 Generated: 826722
% 182.52/182.93 Kept: 175086
% 182.52/182.93 Inuse: 1349
% 182.52/182.93 Deleted: 2738
% 182.52/182.93 Deletedinuse: 42
% 182.52/182.93
% 182.52/182.93 Resimplifying inuse:
% 182.52/182.93 Done
% 182.52/182.93
% 182.52/182.93 Resimplifying inuse:
% 182.52/182.93 Done
% 182.52/182.93
% 182.52/182.93
% 182.52/182.93 Intermediate Status:
% 182.52/182.93 Generated: 834813
% 182.52/182.93 Kept: 177261
% 182.52/182.93 Inuse: 1359
% 182.52/182.93 Deleted: 2738
% 182.52/182.93 Deletedinuse: 42
% 182.52/182.93
% 182.52/182.93 Resimplifying inuse:
% 182.52/182.93 Done
% 182.52/182.93
% 182.52/182.93 Resimplifying inuse:
% 182.52/182.93 Done
% 182.52/182.93
% 182.52/182.93
% 182.52/182.93 Intermediate Status:
% 182.52/182.93 Generated: 845625
% 182.52/182.93 Kept: 179264
% 182.52/182.93 Inuse: 1366
% 182.52/182.93 Deleted: 2738
% 182.52/182.93 Deletedinuse: 42
% 182.52/182.93
% 182.52/182.93 Resimplifying inuse:
% 182.52/182.93 Done
% 182.52/182.93
% 182.52/182.93
% 182.52/182.93 Intermediate Status:
% 182.52/182.93 Generated: 853482
% 182.52/182.93 Kept: 181403
% 182.52/182.93 Inuse: 1379
% 182.52/182.93 Deleted: 2738
% 182.52/182.93 Deletedinuse: 42
% 182.52/182.93
% 182.52/182.93 Resimplifying inuse:
% 182.52/182.93 Done
% 182.52/182.93
% 182.52/182.93
% 182.52/182.93 Intermediate Status:
% 182.52/182.93 Generated: 864156
% 182.52/182.93 Kept: 183477
% 182.52/182.93 Inuse: 1394
% 182.52/182.93 Deleted: 2738
% 182.52/182.93 Deletedinuse: 42
% 182.52/182.93
% 182.52/182.93 Resimplifying inuse:
% 182.52/182.93 Done
% 182.52/182.93
% 182.52/182.93 Resimplifying inuse:
% 182.52/182.93 Done
% 182.52/182.93
% 182.52/182.93
% 182.52/182.93 Intermediate Status:
% 182.52/182.93 Generated: 874688
% 182.52/182.93 Kept: 186015
% 182.52/182.93 Inuse: 1409
% 182.52/182.93 Deleted: 2738
% 182.52/182.93 Deletedinuse: 42
% 182.52/182.93
% 182.52/182.93 Resimplifying inuse:
% 182.52/182.93 Done
% 182.52/182.93
% 182.52/182.93 Resimplifying clauses:
% 182.52/182.93 Done
% 182.52/182.93
% 182.52/182.93
% 182.52/182.93 Intermediate Status:
% 182.52/182.93 Generated: 886949
% 182.52/182.93 Kept: 188211
% 182.52/182.93 Inuse: 1424
% 182.52/182.93 Deleted: 2982
% 182.52/182.93 Deletedinuse: 42
% 182.52/182.93
% 182.52/182.93 Resimplifying inuse:
% 182.52/182.93 Done
% 182.52/182.93
% 182.52/182.93 Resimplifying inuse:
% 182.52/182.93 Done
% 182.52/182.93
% 182.52/182.93
% 182.52/182.93 Intermediate Status:
% 182.52/182.93 Generated: 914008
% 182.52/182.93 Kept: 192123
% 182.52/182.93 Inuse: 1439
% 182.52/182.93 Deleted: 2982
% 182.52/182.93 Deletedinuse: 42
% 182.52/182.93
% 182.52/182.93 Resimplifying inuse:
% 182.52/182.93 Done
% 182.52/182.93
% 182.52/182.93
% 182.52/182.93 Intermediate Status:
% 182.52/182.93 Generated: 932808
% 182.52/182.93 Kept: 194405
% 182.52/182.93 Inuse: 1444
% 182.52/182.93 Deleted: 2982
% 182.52/182.93 Deletedinuse: 42
% 182.52/182.93
% 182.52/182.93 Resimplifying inuse:
% 182.52/182.93 Done
% 182.52/182.93
% 182.52/182.93
% 182.52/182.93 Intermediate Status:
% 182.52/182.93 Generated: 954180
% 182.52/182.93 Kept: 199192
% 182.52/182.93 Inuse: 1449
% 182.52/182.93 Deleted: 2982
% 182.52/182.93 Deletedinuse: 42
% 182.52/182.93
% 182.52/182.93 Resimplifying inuse:
% 182.52/182.93 Done
% 182.52/182.93
% 182.52/182.93
% 182.52/182.93 Intermediate Status:
% 182.52/182.93 Generated: 976025
% 182.52/182.93 Kept: 203935
% 182.52/182.93 Inuse: 1454
% 182.52/182.93 Deleted: 2982
% 182.52/182.93 Deletedinuse: 42
% 182.52/182.93
% 182.52/182.93 Resimplifying inuse:
% 182.52/182.93 Done
% 182.52/182.93
% 182.52/182.93
% 182.52/182.93 Intermediate Status:
% 182.52/182.93 Generated: 996822
% 182.52/182.93 Kept: 208765
% 182.52/182.93 Inuse: 1459
% 182.52/182.93 Deleted: 2982
% 182.52/182.93 Deletedinuse: 42
% 182.52/182.93
% 182.52/182.93 Resimplifying inuse:
% 182.52/182.93 Done
% 182.52/182.93
% 182.52/182.93 Resimplifying clauses:
% 182.52/182.93 Done
% 182.52/182.93
% 182.52/182.93 Resimplifying inuse:
% 182.52/182.93 Done
% 182.52/182.93
% 182.52/182.93
% 182.52/182.93 Intermediate Status:
% 182.52/182.93 Generated: 1015771
% 182.52/182.93 Kept: 211368
% 182.52/182.93 Inuse: 1489
% 182.52/182.93 Deleted: 2997
% 182.52/182.93 Deletedinuse: 42
% 182.52/182.93
% 182.52/182.93 Resimplifying inuse:
% 182.52/182.93 Done
% 182.52/182.93
% 182.52/182.93 Resimplifying inuse:
% 182.52/182.93 Done
% 182.52/182.93
% 182.52/182.93
% 182.52/182.93 Intermediate Status:
% 182.52/182.93 Generated: 1025810
% 182.52/182.93 Kept: 213422
% 182.52/182.93 Inuse: 1504
% 182.52/182.93 Deleted: Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------