TSTP Solution File: ALG345-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG345-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.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 : Thu Jul 14 12:10:25 EDT 2022
% Result : Timeout 300.02s 300.45s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG345-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Thu Jun 9 06:18:17 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.88/1.23 *** allocated 10000 integers for termspace/termends
% 0.88/1.23 *** allocated 10000 integers for clauses
% 0.88/1.23 *** allocated 10000 integers for justifications
% 0.88/1.23 Bliksem 1.12
% 0.88/1.23
% 0.88/1.23
% 0.88/1.23 Automatic Strategy Selection
% 0.88/1.23
% 0.88/1.23 Clauses:
% 0.88/1.23 [
% 0.88/1.23 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.88/1.23 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.23 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.88/1.23 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.88/1.23 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.88/1.23 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.23 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.88/1.23 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.88/1.23 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.88/1.23 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.23 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.88/1.23 ,
% 0.88/1.23 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.88/1.23 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.23 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.88/1.23 ,
% 0.88/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.23 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.88/1.23 ,
% 0.88/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.23 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.23 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.88/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.88/1.23 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.88/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.88/1.23 ,
% 0.88/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.23 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.88/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.23 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.88/1.23 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.88/1.23 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 0.88/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.88/1.23 ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.88/1.23 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.88/1.23 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.88/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 0.88/1.23 ,
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.88/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.23 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.88/1.23 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.88/1.23 Y, X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.88/1.23 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.88/1.23 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.88/1.23 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.88/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.23 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.23 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.23 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.23 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.23 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.88/1.23 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.88/1.23 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.23 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.88/1.23 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.23 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.88/1.23 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.88/1.23 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.23 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.88/1.23 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.23 Y, X ), Z, X ) ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.88/1.23 'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.23 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.23 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.88/1.23 'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.23 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.23 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.88/1.23 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_OpCons'( T, Z, X ) ) ),
% 0.88/1.23 =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.23 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.23 'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.88/1.23 'c_Polynomial_OpCons'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.23 'c_Polynomial_OpCons'( 'c_HOL_Ominus__class_Ominus'( Y, T, X ),
% 0.88/1.23 'c_HOL_Ominus__class_Ominus'( Z, U, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.88/1.23 ,
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 0.88/1.23 , X ) ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.88/1.23 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.88/1.23 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.88/1.23 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 0.88/1.23 ,
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.88/1.23 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.88/1.23 , X ) ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.88/1.23 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.23 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.88/1.23 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 0.88/1.23 ,
% 0.88/1.23 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.88/1.23 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.23 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.88/1.23 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.23 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.88/1.23 , X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.88/1.23 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.23 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.88/1.23 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.23 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.88/1.23 , X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.23 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.88/1.23 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.88/1.23 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.88/1.23 ,
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.23 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.88/1.23 ,
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.23 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.88/1.23 ,
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.23 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.88/1.23 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.88/1.23 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.88/1.23 ,
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.23 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.23 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.88/1.23 X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.23 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.23 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.23 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.23 Z, X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.23 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.23 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.23 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.23 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.88/1.23 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.23 Z, T, X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.88/1.23 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.23 T, Z, X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.88/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.88/1.23 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.23 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.88/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.88/1.23 'c_lessequals'( Z, T, X ) ) ],
% 0.88/1.23 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.88/1.23 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.23 Z, T, X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.88/1.23 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.23 T, Z, X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.88/1.23 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.88/1.23 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.88/1.23 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.88/1.23 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.88/1.23 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.88/1.23 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.88/1.23 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.88/1.23 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.88/1.23 ,
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.88/1.23 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.88/1.23 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.23 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.88/1.23 ,
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.23 'c_Polynomial_Opoly__gcd'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.23 'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Osmult'(
% 0.88/1.23 'c_HOL_Oinverse__class_Oinverse'( 'c_Polynomial_Ocoeff'( Y,
% 0.88/1.23 'c_Polynomial_Odegree'( Y, X ), X ), X ), Y, X ) ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.23 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.88/1.23 ,
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.23 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.23 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.88/1.23 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.88/1.23 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.88/1.23 X ) ) ), =( Z, T ) ],
% 0.88/1.23 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.88/1.23 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.88/1.23 X ) ) ), =( Z, T ) ],
% 0.88/1.23 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.88/1.23 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.88/1.23 X ) ) ), =( Y, T ) ],
% 0.88/1.23 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.23 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.88/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.23 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.23 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.88/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.88/1.23 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.88/1.23 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.23 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.88/1.23 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.88/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 0.88/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.23 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 0.88/1.23 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.23 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.88/1.23 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.23 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.88/1.23 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.88/1.23 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.88/1.23 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.23 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.23 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.88/1.23 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.23 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.88/1.23 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.88/1.23 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.88/1.23 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.23 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.88/1.23 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.88/1.23 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.23 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.88/1.23 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.23 Y, Z, X ), T, X ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.23 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.88/1.23 X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.88/1.23 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.88/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.23 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 0.88/1.23 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.88/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.23 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 0.88/1.23 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.23 Y, Z, X ), T, X ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.23 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.88/1.23 X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.88/1.23 'c_Polynomial_Omonom'( Y, Z, X ), Z, X ), Y ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 0.88/1.23 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.23 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.88/1.23 , X ) ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.23 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.88/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.23 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.88/1.23 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.88/1.23 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 0.88/1.23 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.23 ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.88/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.88/1.23 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.88/1.23 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 0.88/1.23 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Omonom'( Y,
% 0.88/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_Polynomial_OpCons'( Y,
% 0.88/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.88/1.23 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.88/1.23 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.88/1.23 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.88/1.23 ,
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.88/1.23 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.88/1.23 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.23 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.88/1.23 ,
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.23 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.23 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.23 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.23 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.88/1.23 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.88/1.23 Y, X ), Z, X ) ) ],
% 0.88/1.23 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.88/1.23 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.23 T, X ), Z, X ) ) ],
% 0.88/1.23 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.23 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.88/1.23 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.23 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.23 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.88/1.23 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.23 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.88/1.23 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.88/1.23 Y, X ), Z, X ) ) ],
% 0.88/1.23 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.88/1.23 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.23 T, X ), Z, X ) ) ],
% 0.88/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.88/1.23 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.88/1.23 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.23 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), Y ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.23 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.88/1.23 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 0.88/1.23 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.23 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.23 , X ) ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.23 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.88/1.23 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.88/1.23 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Y, T ) ],
% 0.88/1.23 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.88/1.23 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Z, U ) ],
% 0.88/1.23 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.88/1.23 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.88/1.23 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.23 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.88/1.23 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.88/1.23 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.88/1.23 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.23 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.88/1.23 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.23 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.23 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 0.88/1.23 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.88/1.23 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.23 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.88/1.23 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.23 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.88/1.23 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.23 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.88/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.88/1.23 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.88/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.88/1.23 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.88/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.88/1.23 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.88/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.88/1.23 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.88/1.23 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.88/1.23 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.88/1.23 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.88/1.23 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.23 'c_Polynomial_Opoly__gcd'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.23 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.23 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.23 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.23 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.23 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.23 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.88/1.23 ) ],
% 0.88/1.23 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.23 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.88/1.23 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.88/1.23 X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.23 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.23 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.88/1.23 ) ],
% 0.88/1.23 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.23 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.88/1.23 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.88/1.23 X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.88/1.23 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.23 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.88/1.23 ) ],
% 0.88/1.23 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.88/1.23 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.23 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.88/1.23 ) ],
% 0.88/1.23 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.23 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.88/1.23 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.23 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.88/1.23 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.23 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.88/1.23 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.23 'c_Polynomial_Ocoeff'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.88/1.23 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.23 'c_Polynomial_Ocoeff'( Y, T, X ), 'c_Polynomial_Ocoeff'( Z, T, X ), X ) )
% 0.88/1.23 ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.88/1.23 ), =( Z, Y ) ],
% 0.88/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.23 ) ],
% 0.88/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.88/1.23 ) ],
% 0.88/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.23 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.88/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.88/1.23 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.88/1.23 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.23 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.88/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.88/1.23 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.23 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.88/1.23 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.88/1.23 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.23 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.88/1.23 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 0.88/1.23 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.88/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.88/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.88/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.23 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.23 Z, Y, X ) ) ],
% 0.88/1.23 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.23 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.88/1.23 , X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.88/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.88/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.88/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.88/1.23 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.88/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.88/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.88/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.23 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.88/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.88/1.23 'c_Polynomial_Opos__poly'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.23 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.88/1.23 'c_Polynomial_Osmult'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ),
% 0.88/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.88/1.23 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.88/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.88/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.88/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.88/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.23 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.88/1.24 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.24 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.88/1.24 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.24 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.88/1.24 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.88/1.24 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.88/1.24 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.88/1.24 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.88/1.24 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), Y ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.24 ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.24 ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.88/1.24 ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.24 ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.24 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.24 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.88/1.24 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.88/1.24 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.88/1.24 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.88/1.24 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.24 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.88/1.24 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.24 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.88/1.24 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.88/1.24 , X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.88/1.24 ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.24 'c_Polynomial_Opoly'(
% 0.88/1.24 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X ), T
% 0.88/1.24 , X ), 'c_Polynomial_Opoly'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.88/1.24 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.24 'c_Polynomial_Opoly__gcd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T, X ), X ),
% 0.88/1.24 'c_Polynomial_Opoly__gcd'( Z, 'c_Polynomial_Opoly__gcd'( Y, T, X ), X ) )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.24 'c_Polynomial_Opoly__gcd'( 'c_Polynomial_Opoly__gcd'( Y, Z, X ), T, X ),
% 0.88/1.24 'c_Polynomial_Opoly__gcd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T, X ), X ) )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.88/1.24 ), Y ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.88/1.24 ), X ), Y ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.24 'c_Polynomial_Opoly__gcd'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Opoly__gcd'( Y, Z, X ) )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.24 'c_Polynomial_Opoly__gcd'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), Z, X ), 'c_Polynomial_Opoly__gcd'( Y, Z, X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.88/1.24 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.88/1.24 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.24 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.88/1.24 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ),
% 0.88/1.24 'c_Polynomial_Opos__poly'( Y, X ), ~( 'c_Polynomial_Opos__poly'(
% 0.88/1.24 'c_Polynomial_OpCons'( Z, Y, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.88/1.24 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.88/1.24 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.88/1.24 , X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.88/1.24 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.88/1.24 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.24 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.88/1.24 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.24 'c_Polynomial_Opos__poly'( Z, X ), ~( 'c_Polynomial_Opos__poly'(
% 0.88/1.24 'c_Polynomial_OpCons'( Y, Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.24 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.24 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 0.88/1.24 'c_Polynomial_Osmult'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.24 'c_Polynomial_Osmult'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.88/1.24 'c_Polynomial_OpCons'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_nat' ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.88/1.24 X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.88/1.24 X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.88/1.24 X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.88/1.24 ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.88/1.24 ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.88/1.24 ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.88/1.24 ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.88/1.24 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.88/1.24 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.88/1.24 'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.88/1.24 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.88/1.24 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.88/1.24 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.88/1.24 'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.24 'c_Polynomial_Opos__poly'( Y, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_Polynomial_Ocoeff'( Y,
% 0.88/1.24 'c_Polynomial_Odegree'( Y, X ), X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_Polynomial_Ocoeff'( Y, 'c_Polynomial_Odegree'( Y, X ), X ), X ), ~(
% 0.88/1.24 'c_Polynomial_Opos__poly'( Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 0.88/1.24 'c_Polynomial_Osmult'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_Osmult'( Y, T, X ),
% 0.88/1.24 'c_Polynomial_Osmult'( Z, T, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 0.88/1.24 'c_Polynomial_Osmult'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T,
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.24 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_Osmult'( Y, T, X ),
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.24 , Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.88/1.24 , X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.24 , Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.24 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.24 , X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 0.88/1.24 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 0.88/1.24 'c_lessequals'( Y, Z, X ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 0.88/1.24 'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.88/1.24 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.88/1.24 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.88/1.24 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.88/1.24 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.88/1.24 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.88/1.24 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.88/1.24 'c_Polynomial_OpCons'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.88/1.24 , X ), Y ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.24 , X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.24 , X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.24 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.24 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.24 'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_Polynomial_Opoly__gcd'( Z, Y, X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Osmult'( Y
% 0.88/1.24 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.24 'c_Polynomial_Osmult'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.88/1.24 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.88/1.24 X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.88/1.24 'c_Polynomial_Omonom'( T, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.24 'c_Polynomial_Omonom'( 'c_HOL_Ominus__class_Ominus'( Y, T, X ), Z, X ) )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.24 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.88/1.24 X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.24 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 Z, T, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 Z, T, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.24 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.88/1.24 X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.24 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 Y, T, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 Y, T, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.24 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.88/1.24 , X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.24 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.88/1.24 , X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.88/1.24 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.24 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.88/1.24 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.24 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.24 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.24 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.88/1.24 , X ), X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.88/1.24 'c_Polynomial_Omonom'( T, Z, X ) ) ), =( Y, T ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.88/1.24 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.88/1.24 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.24 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.24 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.88/1.24 'c_lessequals'( Z, Y, X ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.24 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.24 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.24 Y, Z, X ), T, X ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.88/1.24 X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y,
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.24 Y, Z, X ), T, X ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.88/1.24 X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.88/1.24 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.24 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.88/1.24 'c_Polynomial_Omonom'( Y, Z, X ), T, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.24 ), =( Z, T ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.24 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.88/1.24 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.24 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.24 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.88/1.24 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.24 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.88/1.24 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.24 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.88/1.24 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.88/1.24 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.24 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.88/1.24 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.88/1.24 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.24 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.24 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.88/1.24 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.88/1.24 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.88/1.24 ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.88/1.24 ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.88/1.24 ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.88/1.24 ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.88/1.24 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.24 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.88/1.24 , T, X ) ) ), =( Z, T ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.88/1.24 , T, X ) ) ), =( Y, Z ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.24 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.24 Y, Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 0.88/1.24 'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 0.88/1.24 'c_lessequals'( Y, Z, X ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 0.88/1.24 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.24 ) ), =( Y, Z ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.24 ) ), =( Y, Z ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.24 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.88/1.24 , U, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.88/1.24 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.88/1.24 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.88/1.24 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.88/1.24 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.88/1.24 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.24 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.88/1.24 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.88/1.24 , X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.24 'c_Polynomial_Opos__poly'( 'c_Polynomial_OpCons'( Y, Z, X ), X ), ~(
% 0.88/1.24 'c_Polynomial_Opos__poly'( Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.88/1.24 , X ), X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.88/1.24 , X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.88/1.24 , X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.24 'c_Polynomial_Opos__poly'( 'c_Polynomial_OpCons'( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.88/1.24 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 0.88/1.24 'c_Polynomial_Opoly'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.24 'c_Polynomial_Opoly'( Y, T, X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.88/1.24 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.88/1.24 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.88/1.24 ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.88/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.88/1.24 ), Y ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.88/1.24 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.88/1.24 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.88/1.24 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.88/1.24 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.88/1.24 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.88/1.24 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.88/1.24 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.88/1.24 , X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.88/1.24 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.88/1.24 , X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.88/1.24 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.88/1.24 , X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.88/1.24 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.88/1.24 , X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.88/1.24 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.88/1.24 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.88/1.24 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.88/1.24 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.88/1.24 ), Y ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.88/1.24 ), Y ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.88/1.24 ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.88/1.24 ), Y ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.88/1.24 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.88/1.24 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.88/1.24 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.88/1.24 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 0.88/1.24 'c_Polynomial_Opoly'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.24 'c_Polynomial_Opoly'( Y, Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.88/1.24 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.88/1.24 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Omonom'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.88/1.24 'c_Polynomial_Opoly__gcd'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Odegree'(
% 0.88/1.24 'c_Polynomial_Opoly__gcd'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), X ), X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_OpCons'(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.88/1.24 , 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.88/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.88/1.24 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.88/1.24 , X ) ) ), =( Y, Z ) ],
% 0.88/1.24 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.88/1.24 , X ) ) ), =( Y, Z ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Ocoeff'( Y,
% 0.88/1.24 'c_Polynomial_Odegree'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.88/1.24 , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.88/1.24 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.88/1.24 'c_Polynomial_Osmult'( Y, Z, X ), X ), 'c_Polynomial_Odegree'( Z, X ) ),
% 0.88/1.24 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_Polynomial_Ocoeff'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.24 'c_Polynomial_Ocoeff'( Y, Z, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.24 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'(
% 0.88/1.24 'c_Polynomial_OpCons'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), X ), Z, X ), 'c_Polynomial_OpCons'( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.24 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.88/1.24 X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.88/1.24 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_OpCons'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.24 'c_Polynomial_Opos__poly'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Opos__poly'( Y, X ), =(
% 0.88/1.24 Y, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Omonom'(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.88/1.24 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Osmult'(
% 0.88/1.24 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ),
% 0.88/1.24 =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), =( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.24 'c_Polynomial_Odegree'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.88/1.24 X ) ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.88/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 0.88/1.24 'c_Polynomial_Osmult'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.88/1.24 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.88/1.24 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.88/1.24 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.88/1.24 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.88/1.24 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.88/1.24 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.88/1.24 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.88/1.24 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.88/1.24 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.88/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.88/1.24 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.88/1.24 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.88/1.24 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.88/1.24 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.88/1.24 'c_Polynomial_Omonom'( Y, Z, X ), X ), Z ), =( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Osmult'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.24 'c_Polynomial_Osmult'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.88/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.24 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.88/1.24 ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.88/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.88/1.24 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.88/1.24 ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.88/1.24 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.88/1.24 'c_Polynomial_Odegree'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Odegree'( Y, X ) ) ]
% 0.88/1.24 ,
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.88/1.24 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'(
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 0.88/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 't_a' ) ],
% 0.88/1.24 [ ~( =( 'c_Polynomial_Odegree'(
% 0.88/1.24 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( 'v_p', 'v_h'
% 0.88/1.24 , 't_a' ), 't_a' ), 'c_Polynomial_Odegree'( 'v_p', 't_a' ) ) ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.88/1.24 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.88/1.24 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.88/1.24 'class_OrderedGroup_Omonoid__add'( X ) ],
% 0.88/1.24 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.88/1.24 'class_HOL_Ozero'( X ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Polynomial_Opoly'(
% 0.88/1.24 X ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.24 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.88/1.24 ],
% 0.88/1.24 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.88/1.24 ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_HOL_Ozero'( 'tc_nat' ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.88/1.24 X ) ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.88/1.24 X ) ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.88/1.24 X ) ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.88/1.24 X ) ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.88/1.24 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.24 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 0.88/1.24 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 0.88/1.24 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Polynomial_Opoly'( X
% 0.88/1.24 ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Polynomial_Opoly'( X )
% 0.88/1.24 ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Polynomial_Opoly'( X
% 0.88/1.24 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Polynomial_Opoly'( X
% 0.88/1.24 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.24 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.88/1.24 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.24 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.88/1.24 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Polynomial_Opoly'( X ) )
% 0.88/1.66 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.88/1.66 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.66 ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.88/1.66 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Polynomial_Opoly'( X ) ),
% 0.88/1.66 ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.88/1.66 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.66 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.88/1.66 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.66 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.88/1.66 [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.66 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.88/1.66 [ 'class_Orderings_Opreorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.66 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.88/1.66 [ 'class_Orderings_Olinorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.66 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.88/1.66 [ 'class_Orderings_Oorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.66 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.88/1.66 [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.88/1.66 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.88/1.66 [ 'class_HOL_Ozero'( 'tc_Polynomial_Opoly'( X ) ), ~( 'class_HOL_Ozero'(
% 0.88/1.66 X ) ) ]
% 0.88/1.66 ] .
% 0.88/1.66
% 0.88/1.66
% 0.88/1.66 percentage equality = 0.205543, percentage horn = 0.896476
% 0.88/1.66 This is a problem with some equality
% 0.88/1.66
% 0.88/1.66
% 0.88/1.66
% 0.88/1.66 Options Used:
% 0.88/1.66
% 0.88/1.66 useres = 1
% 0.88/1.66 useparamod = 1
% 0.88/1.66 useeqrefl = 1
% 0.88/1.66 useeqfact = 1
% 0.88/1.66 usefactor = 1
% 0.88/1.66 usesimpsplitting = 0
% 0.88/1.66 usesimpdemod = 5
% 0.88/1.66 usesimpres = 3
% 0.88/1.66
% 0.88/1.66 resimpinuse = 1000
% 0.88/1.66 resimpclauses = 20000
% 0.88/1.66 substype = eqrewr
% 0.88/1.66 backwardsubs = 1
% 0.88/1.66 selectoldest = 5
% 0.88/1.66
% 0.88/1.66 litorderings [0] = split
% 0.88/1.66 litorderings [1] = extend the termordering, first sorting on arguments
% 0.88/1.66
% 0.88/1.66 termordering = kbo
% 0.88/1.66
% 0.88/1.66 litapriori = 0
% 0.88/1.66 termapriori = 1
% 0.88/1.66 litaposteriori = 0
% 0.88/1.66 termaposteriori = 0
% 0.88/1.66 demodaposteriori = 0
% 0.88/1.66 ordereqreflfact = 0
% 0.88/1.66
% 0.88/1.66 litselect = negord
% 0.88/1.66
% 0.88/1.66 maxweight = 15
% 0.88/1.66 maxdepth = 30000
% 0.88/1.66 maxlength = 115
% 0.88/1.66 maxnrvars = 195
% 0.88/1.66 excuselevel = 1
% 0.88/1.66 increasemaxweight = 1
% 0.88/1.66
% 0.88/1.66 maxselected = 10000000
% 0.88/1.66 maxnrclauses = 10000000
% 0.88/1.66
% 0.88/1.66 showgenerated = 0
% 0.88/1.66 showkept = 0
% 0.88/1.66 showselected = 0
% 0.88/1.66 showdeleted = 0
% 0.88/1.66 showresimp = 1
% 0.88/1.66 showstatus = 2000
% 0.88/1.66
% 0.88/1.66 prologoutput = 1
% 0.88/1.66 nrgoals = 5000000
% 0.88/1.66 totalproof = 1
% 0.88/1.66
% 0.88/1.66 Symbols occurring in the translation:
% 0.88/1.66
% 0.88/1.66 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.88/1.66 . [1, 2] (w:1, o:80, a:1, s:1, b:0),
% 0.88/1.66 ! [4, 1] (w:0, o:34, a:1, s:1, b:0),
% 0.88/1.66 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.88/1.66 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.88/1.66 'class_OrderedGroup_Opordered__ab__group__add' [40, 1] (w:1, o:40, a:
% 0.88/1.66 1, s:1, b:0),
% 0.88/1.66 'c_HOL_Ominus__class_Ominus' [43, 3] (w:1, o:109, a:1, s:1, b:0),
% 0.88/1.66 'c_HOL_Oord__class_Oless' [46, 3] (w:1, o:110, a:1, s:1, b:0),
% 0.88/1.66 'c_lessequals' [47, 3] (w:1, o:111, a:1, s:1, b:0),
% 0.88/1.66 'class_Orderings_Oorder' [48, 1] (w:1, o:41, a:1, s:1, b:0),
% 0.88/1.66 'class_Orderings_Olinorder' [51, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.88/1.66 'class_Ring__and__Field_Oordered__field' [52, 1] (w:1, o:43, a:1, s:1
% 0.88/1.66 , b:0),
% 0.88/1.66 'class_Ring__and__Field_Odivision__by__zero' [53, 1] (w:1, o:48, a:1
% 0.88/1.66 , s:1, b:0),
% 0.88/1.66 'c_HOL_Oinverse__class_Odivide' [55, 3] (w:1, o:112, a:1, s:1, b:0),
% 0.88/1.66
% 0.88/1.66 'c_HOL_Ozero__class_Ozero' [56, 1] (w:1, o:49, a:1, s:1, b:0),
% 0.88/1.66 'class_Ring__and__Field_Odivision__ring' [57, 1] (w:1, o:50, a:1, s:1
% 0.88/1.66 , b:0),
% 0.88/1.66 'c_HOL_Ouminus__class_Ouminus' [58, 2] (w:1, o:105, a:1, s:1, b:0),
% 0.88/1.66 'c_HOL_Oinverse__class_Oinverse' [59, 2] (w:1, o:106, a:1, s:1, b:0)
% 0.88/1.66 ,
% 0.88/1.66 'class_OrderedGroup_Olordered__ab__group__add' [62, 1] (w:1, o:51, a:
% 0.88/1.66 1, s:1, b:0),
% 0.88/1.66 'c_HOL_Oplus__class_Oplus' [63, 3] (w:1, o:113, a:1, s:1, b:0),
% 0.88/1.66 'class_Lattices_Oupper__semilattice' [64, 1] (w:1, o:52, a:1, s:1, b:
% 0.88/1.66 0),
% 0.88/1.66 'c_Lattices_Oupper__semilattice__class_Osup' [65, 3] (w:1, o:114, a:1
% 0.88/1.66 , s:1, b:0),
% 0.88/1.66 'class_Ring__and__Field_Ofield' [66, 1] (w:1, o:53, a:1, s:1, b:0),
% 0.88/1.66 'c_Polynomial_Opoly__gcd' [67, 3] (w:1, o:115, a:1, s:1, b:0),
% 9.25/9.61 'tc_Polynomial_Opoly' [68, 1] (w:1, o:54, a:1, s:1, b:0),
% 9.25/9.61 'class_Ring__and__Field_Ocomm__semiring__0' [69, 1] (w:1, o:46, a:1
% 9.25/9.61 , s:1, b:0),
% 9.25/9.61 'c_Polynomial_Osmult' [71, 3] (w:1, o:116, a:1, s:1, b:0),
% 9.25/9.61 'c_Polynomial_OpCons' [72, 3] (w:1, o:117, a:1, s:1, b:0),
% 9.25/9.61 'class_OrderedGroup_Oab__group__add' [73, 1] (w:1, o:55, a:1, s:1, b:
% 9.25/9.61 0),
% 9.25/9.61 'class_Lattices_Oboolean__algebra' [75, 1] (w:1, o:56, a:1, s:1, b:0)
% 9.25/9.61 ,
% 9.25/9.61 'c_Lattices_Olower__semilattice__class_Oinf' [76, 3] (w:1, o:118, a:1
% 9.25/9.61 , s:1, b:0),
% 9.25/9.61 'class_Ring__and__Field_Ocomm__semiring__1' [77, 1] (w:1, o:47, a:1
% 9.25/9.61 , s:1, b:0),
% 9.25/9.61 'class_Int_Onumber__ring' [79, 1] (w:1, o:58, a:1, s:1, b:0),
% 9.25/9.61 'class_OrderedGroup_Ogroup__add' [80, 1] (w:1, o:59, a:1, s:1, b:0),
% 9.25/9.61
% 9.25/9.61 'class_Lattices_Olower__semilattice' [81, 1] (w:1, o:60, a:1, s:1, b:
% 9.25/9.61 0),
% 9.25/9.61 'c_Polynomial_Odegree' [82, 2] (w:1, o:107, a:1, s:1, b:0),
% 9.25/9.61 'c_Polynomial_Ocoeff' [83, 3] (w:1, o:119, a:1, s:1, b:0),
% 9.25/9.61 'class_Ring__and__Field_Oidom' [84, 1] (w:1, o:61, a:1, s:1, b:0),
% 9.25/9.61 'class_OrderedGroup_Ocancel__ab__semigroup__add' [85, 1] (w:1, o:62
% 9.25/9.61 , a:1, s:1, b:0),
% 9.25/9.61 'class_OrderedGroup_Ocancel__semigroup__add' [86, 1] (w:1, o:63, a:1
% 9.25/9.61 , s:1, b:0),
% 9.25/9.61 'class_OrderedGroup_Opordered__comm__monoid__add' [87, 1] (w:1, o:64
% 9.25/9.61 , a:1, s:1, b:0),
% 9.25/9.61 'class_Lattices_Olattice' [88, 1] (w:1, o:65, a:1, s:1, b:0),
% 9.25/9.61 'class_OrderedGroup_Olordered__ab__group__add__meet' [89, 1] (w:1, o:
% 9.25/9.61 66, a:1, s:1, b:0),
% 9.25/9.61 'class_HOL_Ozero' [90, 1] (w:1, o:57, a:1, s:1, b:0),
% 9.25/9.61 'c_Polynomial_Omonom' [91, 3] (w:1, o:120, a:1, s:1, b:0),
% 9.25/9.61 'tc_nat' [92, 0] (w:1, o:24, a:1, s:1, b:0),
% 9.25/9.61 'class_Ring__and__Field_Oordered__semidom' [93, 1] (w:1, o:67, a:1
% 9.25/9.61 , s:1, b:0),
% 9.25/9.61 'class_Lattices_Odistrib__lattice' [94, 1] (w:1, o:68, a:1, s:1, b:0)
% 9.25/9.61 ,
% 9.25/9.61 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [95, 1]
% 9.25/9.61 (w:1, o:69, a:1, s:1, b:0),
% 9.25/9.61 'class_OrderedGroup_Opordered__ab__semigroup__add' [96, 1] (w:1, o:70
% 9.25/9.61 , a:1, s:1, b:0),
% 9.25/9.61 'class_Ring__and__Field_Oordered__idom' [98, 1] (w:1, o:71, a:1, s:1
% 9.25/9.61 , b:0),
% 9.25/9.61 'c_Polynomial_Opos__poly' [99, 2] (w:1, o:108, a:1, s:1, b:0),
% 9.25/9.61 'class_RealVector_Oreal__normed__field' [100, 1] (w:1, o:72, a:1, s:1
% 9.25/9.61 , b:0),
% 9.25/9.61 'class_OrderedGroup_Ocomm__monoid__add' [102, 1] (w:1, o:73, a:1, s:1
% 9.25/9.61 , b:0),
% 9.25/9.61 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly' [104, 3]
% 9.25/9.61 (w:1, o:121, a:1, s:1, b:0),
% 9.25/9.61 'c_Polynomial_Opoly' [105, 3] (w:1, o:122, a:1, s:1, b:0),
% 9.25/9.61 'class_Ring__and__Field_Ocomm__ring' [107, 1] (w:1, o:44, a:1, s:1
% 9.25/9.61 , b:0),
% 9.25/9.61 'class_Orderings_Opreorder' [108, 1] (w:1, o:74, a:1, s:1, b:0),
% 9.25/9.61 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [109, 1]
% 9.25/9.61 (w:1, o:75, a:1, s:1, b:0),
% 9.25/9.61 'class_OrderedGroup_Olordered__ab__group__add__join' [110, 1] (w:1
% 9.25/9.61 , o:76, a:1, s:1, b:0),
% 9.25/9.61 'class_OrderedGroup_Oab__semigroup__add' [112, 1] (w:1, o:77, a:1, s:
% 9.25/9.61 1, b:0),
% 9.25/9.61 'class_OrderedGroup_Omonoid__add' [114, 1] (w:1, o:78, a:1, s:1, b:0)
% 9.25/9.61 ,
% 9.25/9.61 'class_OrderedGroup_Oordered__ab__group__add' [115, 1] (w:1, o:39, a:
% 9.25/9.61 1, s:1, b:0),
% 9.25/9.61 't_a' [116, 0] (w:1, o:29, a:1, s:1, b:0),
% 9.25/9.61 'v_p' [117, 0] (w:1, o:30, a:1, s:1, b:0),
% 9.25/9.61 'v_h' [118, 0] (w:1, o:31, a:1, s:1, b:0),
% 9.25/9.61 'class_OrderedGroup_Ocancel__comm__monoid__add' [121, 1] (w:1, o:79
% 9.25/9.61 , a:1, s:1, b:0),
% 9.25/9.61 'class_Ring__and__Field_Ocomm__ring__1' [122, 1] (w:1, o:45, a:1, s:1
% 9.25/9.61 , b:0).
% 9.25/9.61
% 9.25/9.61
% 9.25/9.61 Starting Search:
% 9.25/9.61
% 9.25/9.61 Resimplifying inuse:
% 9.25/9.61 Done
% 9.25/9.61
% 9.25/9.61
% 9.25/9.61 Intermediate Status:
% 9.25/9.61 Generated: 4247
% 9.25/9.61 Kept: 2003
% 9.25/9.61 Inuse: 136
% 9.25/9.61 Deleted: 2
% 9.25/9.61 Deletedinuse: 0
% 9.25/9.61
% 9.25/9.61 Resimplifying inuse:
% 9.25/9.61 Done
% 9.25/9.61
% 9.25/9.61 Resimplifying inuse:
% 9.25/9.61 Done
% 9.25/9.61
% 9.25/9.61
% 9.25/9.61 Intermediate Status:
% 9.25/9.61 Generated: 16070
% 9.25/9.61 Kept: 4010
% 9.25/9.61 Inuse: 262
% 9.25/9.61 Deleted: 4
% 9.25/9.61 Deletedinuse: 0
% 9.25/9.61
% 9.25/9.61 Resimplifying inuse:
% 9.25/9.61 Done
% 9.25/9.61
% 9.25/9.61 Resimplifying inuse:
% 9.25/9.61 Done
% 9.25/9.61
% 9.25/9.61
% 9.25/9.61 Intermediate Status:
% 9.25/9.61 Generated: 37009
% 9.25/9.61 Kept: 6035
% 9.25/9.61 Inuse: 343
% 9.25/9.61 Deleted: 4
% 9.25/9.61 Deletedinuse: 0
% 9.25/9.61
% 9.25/9.61 Resimplifying inuse:
% 9.25/9.61 Done
% 9.25/9.61
% 9.25/9.61 Resimplifying inuse:
% 9.25/9.61 Done
% 9.25/9.61
% 9.25/9.61
% 9.25/9.61 Intermediate Status:
% 86.21/86.64 Generated: 56374
% 86.21/86.64 Kept: 8038
% 86.21/86.64 Inuse: 417
% 86.21/86.64 Deleted: 5
% 86.21/86.64 Deletedinuse: 1
% 86.21/86.64
% 86.21/86.64 Resimplifying inuse:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64 Resimplifying inuse:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64
% 86.21/86.64 Intermediate Status:
% 86.21/86.64 Generated: 64766
% 86.21/86.64 Kept: 11060
% 86.21/86.64 Inuse: 453
% 86.21/86.64 Deleted: 5
% 86.21/86.64 Deletedinuse: 1
% 86.21/86.64
% 86.21/86.64 Resimplifying inuse:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64 Resimplifying inuse:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64
% 86.21/86.64 Intermediate Status:
% 86.21/86.64 Generated: 85694
% 86.21/86.64 Kept: 13166
% 86.21/86.64 Inuse: 512
% 86.21/86.64 Deleted: 5
% 86.21/86.64 Deletedinuse: 1
% 86.21/86.64
% 86.21/86.64 Resimplifying inuse:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64 Resimplifying inuse:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64
% 86.21/86.64 Intermediate Status:
% 86.21/86.64 Generated: 108890
% 86.21/86.64 Kept: 15564
% 86.21/86.64 Inuse: 584
% 86.21/86.64 Deleted: 8
% 86.21/86.64 Deletedinuse: 1
% 86.21/86.64
% 86.21/86.64 Resimplifying inuse:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64 Resimplifying inuse:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64
% 86.21/86.64 Intermediate Status:
% 86.21/86.64 Generated: 126096
% 86.21/86.64 Kept: 17580
% 86.21/86.64 Inuse: 644
% 86.21/86.64 Deleted: 8
% 86.21/86.64 Deletedinuse: 1
% 86.21/86.64
% 86.21/86.64 Resimplifying inuse:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64 Resimplifying inuse:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64
% 86.21/86.64 Intermediate Status:
% 86.21/86.64 Generated: 145943
% 86.21/86.64 Kept: 19772
% 86.21/86.64 Inuse: 698
% 86.21/86.64 Deleted: 9
% 86.21/86.64 Deletedinuse: 1
% 86.21/86.64
% 86.21/86.64 Resimplifying inuse:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64 Resimplifying clauses:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64 Resimplifying inuse:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64
% 86.21/86.64 Intermediate Status:
% 86.21/86.64 Generated: 160287
% 86.21/86.64 Kept: 21804
% 86.21/86.64 Inuse: 723
% 86.21/86.64 Deleted: 162
% 86.21/86.64 Deletedinuse: 1
% 86.21/86.64
% 86.21/86.64 Resimplifying inuse:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64 Resimplifying inuse:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64
% 86.21/86.64 Intermediate Status:
% 86.21/86.64 Generated: 180033
% 86.21/86.64 Kept: 23806
% 86.21/86.64 Inuse: 776
% 86.21/86.64 Deleted: 162
% 86.21/86.64 Deletedinuse: 1
% 86.21/86.64
% 86.21/86.64 Resimplifying inuse:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64 Resimplifying inuse:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64
% 86.21/86.64 Intermediate Status:
% 86.21/86.64 Generated: 200245
% 86.21/86.64 Kept: 26338
% 86.21/86.64 Inuse: 828
% 86.21/86.64 Deleted: 162
% 86.21/86.64 Deletedinuse: 1
% 86.21/86.64
% 86.21/86.64 Resimplifying inuse:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64 Resimplifying inuse:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64
% 86.21/86.64 Intermediate Status:
% 86.21/86.64 Generated: 219692
% 86.21/86.64 Kept: 28473
% 86.21/86.64 Inuse: 889
% 86.21/86.64 Deleted: 163
% 86.21/86.64 Deletedinuse: 2
% 86.21/86.64
% 86.21/86.64 Resimplifying inuse:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64
% 86.21/86.64 Intermediate Status:
% 86.21/86.64 Generated: 232227
% 86.21/86.64 Kept: 30619
% 86.21/86.64 Inuse: 904
% 86.21/86.64 Deleted: 163
% 86.21/86.64 Deletedinuse: 2
% 86.21/86.64
% 86.21/86.64 Resimplifying inuse:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64 Resimplifying inuse:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64
% 86.21/86.64 Intermediate Status:
% 86.21/86.64 Generated: 244334
% 86.21/86.64 Kept: 33351
% 86.21/86.64 Inuse: 948
% 86.21/86.64 Deleted: 428
% 86.21/86.64 Deletedinuse: 267
% 86.21/86.64
% 86.21/86.64 Resimplifying inuse:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64 Resimplifying inuse:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64
% 86.21/86.64 Intermediate Status:
% 86.21/86.64 Generated: 256906
% 86.21/86.64 Kept: 35363
% 86.21/86.64 Inuse: 1007
% 86.21/86.64 Deleted: 443
% 86.21/86.64 Deletedinuse: 281
% 86.21/86.64
% 86.21/86.64 Resimplifying inuse:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64 Resimplifying inuse:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64
% 86.21/86.64 Intermediate Status:
% 86.21/86.64 Generated: 267070
% 86.21/86.64 Kept: 37544
% 86.21/86.64 Inuse: 1047
% 86.21/86.64 Deleted: 443
% 86.21/86.64 Deletedinuse: 281
% 86.21/86.64
% 86.21/86.64 Resimplifying inuse:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64 Resimplifying inuse:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64
% 86.21/86.64 Intermediate Status:
% 86.21/86.64 Generated: 281331
% 86.21/86.64 Kept: 39581
% 86.21/86.64 Inuse: 1097
% 86.21/86.64 Deleted: 443
% 86.21/86.64 Deletedinuse: 281
% 86.21/86.64
% 86.21/86.64 Resimplifying clauses:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64 Resimplifying inuse:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64 Resimplifying inuse:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64
% 86.21/86.64 Intermediate Status:
% 86.21/86.64 Generated: 295583
% 86.21/86.64 Kept: 41707
% 86.21/86.64 Inuse: 1127
% 86.21/86.64 Deleted: 4630
% 86.21/86.64 Deletedinuse: 281
% 86.21/86.64
% 86.21/86.64 Resimplifying inuse:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64 Resimplifying inuse:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64
% 86.21/86.64 Intermediate Status:
% 86.21/86.64 Generated: 311546
% 86.21/86.64 Kept: 43713
% 86.21/86.64 Inuse: 1173
% 86.21/86.64 Deleted: 4630
% 86.21/86.64 Deletedinuse: 281
% 86.21/86.64
% 86.21/86.64 Resimplifying inuse:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64
% 86.21/86.64 Intermediate Status:
% 86.21/86.64 Generated: 331841
% 86.21/86.64 Kept: 45719
% 86.21/86.64 Inuse: 1207
% 86.21/86.64 Deleted: 4630
% 86.21/86.64 Deletedinuse: 281
% 86.21/86.64
% 86.21/86.64 Resimplifying inuse:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64
% 86.21/86.64 Intermediate Status:
% 86.21/86.64 Generated: 346529
% 86.21/86.64 Kept: 48500
% 86.21/86.64 Inuse: 1237
% 86.21/86.64 Deleted: 4632
% 86.21/86.64 Deletedinuse: 283
% 86.21/86.64
% 86.21/86.64 Resimplifying inuse:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64 Resimplifying inuse:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64
% 86.21/86.64 Intermediate Status:
% 86.21/86.64 Generated: 359080
% 86.21/86.64 Kept: 50544
% 86.21/86.64 Inuse: 1262
% 86.21/86.64 Deleted: 4632
% 86.21/86.64 Deletedinuse: 283
% 86.21/86.64
% 86.21/86.64 Resimplifying inuse:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64 Resimplifying inuse:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64
% 86.21/86.64 Intermediate Status:
% 86.21/86.64 Generated: 376564
% 86.21/86.64 Kept: 52563
% 86.21/86.64 Inuse: 1298
% 86.21/86.64 Deleted: 4647
% 86.21/86.64 Deletedinuse: 289
% 86.21/86.64
% 86.21/86.64 Resimplifying inuse:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64 Resimplifying inuse:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64
% 86.21/86.64 Intermediate Status:
% 86.21/86.64 Generated: 393675
% 86.21/86.64 Kept: 54786
% 86.21/86.64 Inuse: 1316
% 86.21/86.64 Deleted: 4672
% 86.21/86.64 Deletedinuse: 292
% 86.21/86.64
% 86.21/86.64 Resimplifying inuse:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64 Resimplifying inuse:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64
% 86.21/86.64 Intermediate Status:
% 86.21/86.64 Generated: 399035
% 86.21/86.64 Kept: 56797
% 86.21/86.64 Inuse: 1325
% 86.21/86.64 Deleted: 4709
% 86.21/86.64 Deletedinuse: 293
% 86.21/86.64
% 86.21/86.64 Resimplifying inuse:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64
% 86.21/86.64 Intermediate Status:
% 86.21/86.64 Generated: 413194
% 86.21/86.64 Kept: 59530
% 86.21/86.64 Inuse: 1351
% 86.21/86.64 Deleted: 4728
% 86.21/86.64 Deletedinuse: 293
% 86.21/86.64
% 86.21/86.64 Resimplifying inuse:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64 Resimplifying inuse:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64 Resimplifying clauses:
% 86.21/86.64 Done
% 86.21/86.64
% 86.21/86.64
% 86.21/86.64 Intermediate StatuCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------