TSTP Solution File: SWV604-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV604-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:27:04 EDT 2022
% Result : Timeout 300.06s 300.51s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWV604-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Wed Jun 15 11:44:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.90/1.28 *** allocated 10000 integers for termspace/termends
% 0.90/1.28 *** allocated 10000 integers for clauses
% 0.90/1.28 *** allocated 10000 integers for justifications
% 0.90/1.28 *** allocated 15000 integers for termspace/termends
% 0.90/1.28 *** allocated 22500 integers for termspace/termends
% 0.90/1.28 Bliksem 1.12
% 0.90/1.28
% 0.90/1.28
% 0.90/1.28 Automatic Strategy Selection
% 0.90/1.28
% 0.90/1.28 Clauses:
% 0.90/1.28 [
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.90/1.28 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.90/1.28 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.90/1.28 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.90/1.28 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.28 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.90/1.28 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.90/1.28 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.90/1.28 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.28 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.90/1.28 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.90/1.28 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.90/1.28 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.90/1.28 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.28 ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.90/1.28 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.90/1.28 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.90/1.28 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 0.90/1.28 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 0.90/1.28 X ), Z, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.90/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 0.90/1.28 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.90/1.28 Z, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.90/1.28 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.90/1.28 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.90/1.28 Z, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.90/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.90/1.28 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.90/1.28 X ), Z, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.90/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.90/1.28 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.28 X ), Z, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.90/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.90/1.28 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.28 X ), T, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.28 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.28 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.28 ,
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.28 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.90/1.28 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.90/1.28 ,
% 0.90/1.28 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 0.90/1.28 Z, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, Z
% 0.90/1.28 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.90/1.28 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.90/1.28 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.90/1.28 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.90/1.28 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.90/1.28 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.90/1.28 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.90/1.28 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.90/1.28 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.90/1.28 T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X ) ),
% 0.90/1.28 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.90/1.28 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.90/1.28 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.90/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.28 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.90/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.28 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.28 ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.28 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.28 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat' ) ) ), =( Y, Z )
% 0.90/1.28 ],
% 0.90/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.90/1.28 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.90/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.90/1.28 ,
% 0.90/1.28 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 0.90/1.28 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.90/1.28 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.90/1.28 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.90/1.28 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 0.90/1.28 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.90/1.28 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.90/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.90/1.28 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.90/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.90/1.28 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.90/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.90/1.28 ,
% 0.90/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.90/1.28 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.90/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.90/1.28 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.90/1.28 ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 0.90/1.28 ,
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.28 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.90/1.28 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.90/1.28 Y, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.28 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.28 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.90/1.28 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.28 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.90/1.28 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.90/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.90/1.28 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 0.90/1.28 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.28 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.28 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'(
% 0.90/1.28 Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.90/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.90/1.28 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'(
% 0.90/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.90/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.90/1.28 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), ~(
% 0.90/1.28 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.90/1.28 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.90/1.28 T, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.90/1.28 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.90/1.28 X ), Z, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.90/1.28 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.90/1.28 T, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.90/1.28 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.90/1.28 X ), T, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.90/1.28 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.90/1.28 T, X ), X ) ) ],
% 0.90/1.28 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.90/1.28 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.90/1.28 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.90/1.28 X ), T, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.90/1.28 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.90/1.28 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.90/1.28 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.90/1.28 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.90/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.90/1.28 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.28 Y, X ), Z, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.90/1.28 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( T, Y
% 0.90/1.28 , X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ) ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.90/1.28 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( T, Y
% 0.90/1.28 , X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ) ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.90/1.28 Y, T, X ), X ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.28 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.28 ,
% 0.90/1.28 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oone__class_Oone'(
% 0.90/1.28 'tc_nat' ), 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.28 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.28 , X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.28 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.90/1.28 , X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.28 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.28 , X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.28 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.90/1.28 , X ) ) ],
% 0.90/1.28 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.90/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.28 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.90/1.28 , X ), X ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.90/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.90/1.28 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.28 X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.28 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 0.90/1.28 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.90/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.90/1.28 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.90/1.28 X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.90/1.28 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.90/1.28 X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.90/1.28 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.90/1.28 X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.90/1.28 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.90/1.28 X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.28 Y, Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.28 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.28 Y, Z, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.90/1.28 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.28 X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.90/1.28 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.28 X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.90/1.28 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.28 X ) ) ],
% 0.90/1.28 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ), 'tc_nat' ), ~(
% 0.90/1.28 'c_lessequals'( Y, T, 'tc_nat' ) ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) )
% 0.90/1.28 ],
% 0.90/1.28 [ 'c_lessequals'( X, 'c_HOL_Otimes__class_Otimes'( X,
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ]
% 0.90/1.28 ,
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.28 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.90/1.28 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.90/1.28 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.28 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.90/1.28 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 0.90/1.28 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.28 , X ) ) ],
% 0.90/1.28 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.90/1.28 ), X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.90/1.28 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.28 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.90/1.28 , X ), Z, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.90/1.28 , X ), Z, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.90/1.28 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.90/1.28 ,
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.90/1.28 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.90/1.28 ,
% 0.90/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.90/1.28 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.90/1.28 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.90/1.28 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.28 , X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.28 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.90/1.28 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.28 , X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.28 , X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.28 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.28 , X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.90/1.28 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.90/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.28 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.28 X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.90/1.28 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.28 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.90/1.28 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.90/1.28 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.28 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.28 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.90/1.28 'c_Divides_Odiv__class_Odiv'( T, U, X ), X ),
% 0.90/1.28 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), ~(
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( U, T, X ) ), ~(
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.90/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.28 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.90/1.28 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' )
% 0.90/1.28 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.90/1.28 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' )
% 0.90/1.28 , 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.90/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.28 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.90/1.28 X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.90/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.28 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.90/1.28 , Z, X ) ) ],
% 0.90/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.90/1.28 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.90/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ]
% 0.90/1.28 ,
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.90/1.28 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.90/1.28 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.90/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.90/1.28 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.90/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.90/1.28 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.90/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.90/1.28 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.90/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.90/1.28 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.90/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.90/1.28 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.90/1.28 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.90/1.28 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.90/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.90/1.28 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.90/1.28 'c_HOL_Oabs__class_Oabs'( T, X ), X ) ), ~(
% 0.90/1.28 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 0.90/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.90/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.90/1.28 ), =( Z, Y ) ],
% 0.90/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.90/1.28 ) ],
% 0.90/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.90/1.28 ) ],
% 0.90/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.90/1.28 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.90/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.90/1.28 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.90/1.28 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 0.90/1.28 , Y, 'tc_nat' ) ) ],
% 0.90/1.28 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.90/1.28 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.90/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.90/1.28 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.90/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.90/1.28 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.90/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.90/1.28 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.90/1.28 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.90/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.90/1.28 , X ) ) ), =( Y, Z ) ],
% 0.90/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.90/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.90/1.28 , X ) ) ), =( Y, Z ) ],
% 0.90/1.28 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.28 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.28 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.90/1.28 ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.28 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.90/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.90/1.28 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.28 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.90/1.28 , X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.28 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.90/1.28 , X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.28 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 Z, Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.90/1.28 , X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.90/1.28 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 0.90/1.28 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 0.90/1.28 ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.90/1.28 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 0.90/1.28 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.90/1.28 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 0.90/1.28 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.90/1.28 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =(
% 0.90/1.28 Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.90/1.28 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.90/1.28 ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.90/1.28 Z, T, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.28 ,
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.90/1.28 ,
% 0.90/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.90/1.28 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.28 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.28 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.28 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.28 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.90/1.28 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.28 'c_Suc'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), X, 'tc_nat'
% 0.90/1.28 ), 'tc_nat' ) ],
% 0.90/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.28 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.28 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.28 'c_HOL_Osgn__class_Osgn'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.28 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.90/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.90/1.28 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.90/1.28 ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.90/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.90/1.28 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.90/1.28 ) ],
% 0.90/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.90/1.28 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.90/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.90/1.28 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.90/1.28 ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.90/1.28 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.90/1.28 ,
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.90/1.28 , T, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.28 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.90/1.28 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.90/1.28 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.90/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.28 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.90/1.28 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.28 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.90/1.28 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.90/1.28 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.90/1.28 'c_Power_Opower__class_Opower'( T, 'c_Suc'( Z ), X ) ) ), =( Y, T ), ~(
% 0.90/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.90/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.90/1.28 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 0.90/1.28 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 0.90/1.28 , X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.90/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.90/1.28 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.90/1.28 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 0.90/1.28 ,
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.90/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.28 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.90/1.28 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.90/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.90/1.28 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.90/1.28 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.90/1.28 , X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.90/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.28 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.90/1.28 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 0.90/1.28 ,
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.90/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.28 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.90/1.28 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.28 Y, T, X ), Z, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.90/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.28 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.90/1.28 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.28 Y, T, X ), Z, X ) ) ],
% 0.90/1.28 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.90/1.28 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.90/1.28 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.90/1.28 [ =( X, 'c_Suc'( Y ) ), 'c_lessequals'( X, Y, 'tc_nat' ), ~(
% 0.90/1.28 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.90/1.28 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.90/1.28 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.28 ,
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.90/1.28 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.90/1.28 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.90/1.28 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.90/1.28 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.90/1.28 ,
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.28 ,
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.28 ,
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.90/1.28 ,
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.90/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.90/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.90/1.28 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.28 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, T
% 0.90/1.28 , X ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, Z
% 0.90/1.28 , X ), 'c_Divides_Odiv__class_Odiv'( T, Z, X ), X ), ~(
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ), ~(
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.28 Z, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.28 Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.90/1.28 , X ), Z, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.90/1.28 , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.90/1.28 ,
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.90/1.28 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.90/1.28 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.28 ,
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.90/1.28 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.28 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.90/1.28 ,
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.90/1.28 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 0.90/1.28 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.90/1.28 ,
% 0.90/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.90/1.28 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.90/1.28 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.90/1.28 'c_lessequals'( Y, Z, X ) ) ],
% 0.90/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.90/1.28 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.90/1.28 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.90/1.28 'c_lessequals'( Y, Z, X ) ) ],
% 0.90/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.90/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.90/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.28 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.28 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.90/1.28 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.90/1.28 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.90/1.28 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.90/1.28 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.90/1.28 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.28 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.28 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.90/1.28 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.90/1.28 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.28 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 0.90/1.28 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.28 ) ],
% 0.90/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.90/1.28 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.28 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.90/1.28 , X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.90/1.28 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.90/1.28 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.28 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), =( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 0.90/1.28 Z, 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.90/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.28 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' )
% 0.90/1.28 , ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.28 'tc_nat' ) ), X, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.28 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.90/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.90/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.90/1.28 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.90/1.28 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.90/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.90/1.28 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.90/1.28 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.28 X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 0.90/1.28 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.90/1.28 , X ) ) ],
% 0.90/1.28 [ 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X,
% 0.90/1.28 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.28 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ), 'tc_nat' )
% 0.90/1.28 ) ],
% 0.90/1.28 [ 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X,
% 0.90/1.28 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.28 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' )
% 0.90/1.28 ) ],
% 0.90/1.28 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.90/1.28 ), 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.90/1.28 ), 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.90/1.28 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.28 'c_HOL_Oone__class_Oone'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.28 X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z
% 0.90/1.28 ), X ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.90/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.28 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.90/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.28 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.90/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), X ) ],
% 0.90/1.28 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.90/1.28 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.90/1.28 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.90/1.28 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( 'c_lessequals'( X, X, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X,
% 0.90/1.28 'c_Suc'( X ), 'tc_nat' ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.90/1.28 , X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.90/1.28 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.28 ,
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.90/1.28 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.90/1.28 ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.90/1.28 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.90/1.28 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.90/1.28 ) ],
% 0.90/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.28 'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.90/1.28 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.90/1.28 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.28 ,
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.90/1.28 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.28 ,
% 0.90/1.28 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.90/1.28 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.90/1.28 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.90/1.28 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.90/1.28 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.90/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.28 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.90/1.28 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.90/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.90/1.28 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.90/1.28 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.90/1.28 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.90/1.28 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.90/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.28 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.90/1.28 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.90/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.28 , Z, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.90/1.28 , T, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.28 , Z, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.90/1.28 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 0.90/1.28 ,
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 0.90/1.28 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.90/1.28 ,
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.90/1.28 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.28 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 0.90/1.28 ,
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.28 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.90/1.28 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 0.90/1.28 ,
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.90/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), Y ) ],
% 0.90/1.28 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 'c_Suc'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.90/1.28 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.90/1.28 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.90/1.28 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.90/1.28 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 0.90/1.28 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.28 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 0.90/1.28 ), 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.28 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.90/1.28 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.28 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.90/1.28 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.28 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.90/1.28 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.90/1.28 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.90/1.28 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.90/1.28 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.90/1.28 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.90/1.28 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'(
% 0.90/1.28 Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.90/1.28 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Z, Y, X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.28 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.90/1.28 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.90/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.28 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.90/1.28 , X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.28 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.28 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.90/1.28 ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.90/1.28 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.90/1.28 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.90/1.28 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.90/1.28 , X ), Z, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.90/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.90/1.28 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.28 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.90/1.28 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 0.90/1.28 , X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 0.90/1.28 ,
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 0.90/1.28 ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.90/1.28 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.90/1.28 ), X ) ) ],
% 0.90/1.28 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( 'tc_nat' )
% 0.90/1.28 , X, 'tc_nat' ), X ) ],
% 0.90/1.28 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 0.90/1.28 ), 'tc_nat' ), X ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.90/1.28 , Y, X ), X ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.90/1.28 , Z, X ), X ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.90/1.28 , Z, X ), X ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.90/1.28 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 0.90/1.28 ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.90/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.90/1.28 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.90/1.28 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.28 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.28 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 0.90/1.28 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 0.90/1.28 ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.28 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.90/1.28 ), X ), Y ) ],
% 0.90/1.28 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.90/1.28 'tc_nat' ) ],
% 0.90/1.28 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.90/1.28 'tc_nat' ) ],
% 0.90/1.28 [ =( 'c_Complex_Ocnj'( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex'
% 0.90/1.28 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.28 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.90/1.28 ), X ) ) ],
% 0.90/1.28 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.90/1.28 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.90/1.28 Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.90/1.28 'c_Suc'( Z ), X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.90/1.28 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.28 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.90/1.28 ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.90/1.28 , Y, X ) ) ],
% 0.90/1.28 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.90/1.28 , Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 0.90/1.28 ,
% 0.90/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.90/1.28 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.90/1.28 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.90/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.90/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.90/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.90/1.28 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.90/1.28 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.28 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.90/1.28 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_Suc'(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( 'c_Suc'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), X, 'tc_nat' ) ), 'tc_nat' ) )
% 0.90/1.28 ],
% 0.90/1.28 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.90/1.28 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.90/1.28 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.90/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.90/1.28 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.90/1.28 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.90/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.90/1.28 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.90/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.90/1.28 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.90/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.90/1.28 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.90/1.28 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.90/1.28 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.90/1.28 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.90/1.28 ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.90/1.28 ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.90/1.28 ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.90/1.28 ), X ) ) ],
% 0.90/1.28 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.90/1.28 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 0.90/1.28 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.90/1.28 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( Y, 'c_HOL_Oone__class_Oone'(
% 0.90/1.28 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.90/1.28 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.90/1.28 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.90/1.28 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.90/1.28 'tc_nat' ) ), =( Y, Z ) ],
% 0.90/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.90/1.28 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X
% 0.90/1.28 , Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat'
% 0.90/1.28 ) ) ],
% 0.90/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.90/1.28 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.90/1.28 , X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ), 'tc_nat'
% 0.90/1.28 ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.90/1.28 X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.90/1.28 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), =( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'(
% 0.90/1.28 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.28 ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.28 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.90/1.28 , T, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.28 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.28 , Z, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.28 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.90/1.28 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.90/1.28 ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.28 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.28 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.28 X ), T, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.28 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.90/1.28 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.90/1.28 ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.28 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.28 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.28 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.90/1.28 'c_lessequals'( Y, Z, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.90/1.28 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.90/1.28 'tc_nat' ) ) ],
% 0.90/1.28 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.90/1.28 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.90/1.28 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.90/1.28 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 0.90/1.28 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 0.90/1.28 , X ), 'c_Power_Opower__class_Opower'( Y, Z, X ) ), ~(
% 0.90/1.28 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.90/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 0.90/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.28 X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.90/1.28 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 0.90/1.28 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Otimes__class_Otimes'( X, Y
% 0.90/1.28 , 'tc_nat' ), 'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y,
% 0.90/1.28 'tc_nat' ) ) ],
% 0.90/1.28 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Otimes__class_Otimes'( X, Y
% 0.90/1.28 , 'tc_nat' ), 'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X,
% 0.90/1.28 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.90/1.28 , Z, X ), 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.90/1.28 'c_lessequals'( Z, T, 'tc_nat' ) ) ],
% 0.90/1.28 [ =( 'c_Complex_Ocnj'( 'c_Complex_Ocnj'( X ) ), X ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.90/1.28 Y, T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X )
% 0.90/1.28 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.90/1.28 'c_lessequals'( T, Z, 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.28 ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.28 ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.28 ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.28 ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.90/1.28 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.28 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.90/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.28 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.28 'c_lessequals'( Z, Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.90/1.28 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.28 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.90/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.28 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.90/1.28 'c_lessequals'( Z, Y, X ) ) ],
% 0.90/1.28 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) ) ), =( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 0.90/1.28 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( X,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 0.90/1.28 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( Y, Z ), =( X,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.90/1.28 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.90/1.28 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.90/1.28 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.90/1.28 , Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.90/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.28 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.90/1.28 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.28 , Z, X ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.90/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.90/1.28 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.90/1.28 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.28 , Z, X ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.90/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.90/1.28 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.90/1.28 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 0.90/1.28 ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.90/1.28 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.90/1.28 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 0.90/1.28 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 0.90/1.28 ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.90/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.28 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.90/1.28 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.28 , T, X ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.90/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.28 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.90/1.28 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.28 , T, X ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.90/1.28 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.28 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.90/1.28 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.90/1.28 Z, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.90/1.28 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.90/1.28 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.90/1.28 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.90/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.90/1.28 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.90/1.28 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_Suc'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.90/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.90/1.28 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.90/1.28 , X ) ) ],
% 0.90/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.90/1.28 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.28 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.28 ,
% 0.90/1.28 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.28 'tc_nat' ), 'tc_nat' ) ],
% 0.90/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.28 'c_Power_Opower__class_Opower'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.90/1.28 T, X ), 'c_Divides_Odiv__class_Odiv'( 'c_Power_Opower__class_Opower'( Y,
% 0.90/1.28 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ), ~(
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.90/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.90/1.28 , X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.90/1.28 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.90/1.28 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.90/1.28 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.90/1.28 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.90/1.28 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.90/1.28 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.90/1.28 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.90/1.28 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 0.90/1.28 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.90/1.28 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( =( X, 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ), =( X,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, 'c_HOL_Oone__class_Oone'(
% 0.90/1.28 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.28 , X ) ],
% 0.90/1.28 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.28 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat'
% 0.90/1.28 ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.90/1.28 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.90/1.28 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 0.90/1.28 ,
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.28 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.90/1.28 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.90/1.28 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.90/1.28 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'(
% 0.90/1.28 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ),
% 0.90/1.28 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.90/1.28 ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Int_Oiszero'( Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 0.90/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 0.90/1.28 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.90/1.28 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.28 X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.90/1.28 Z, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.90/1.28 Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.90/1.28 ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.90/1.28 ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.90/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.90/1.28 , Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.90/1.28 , X ) ) ],
% 0.90/1.28 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.90/1.28 , Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.90/1.28 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.90/1.28 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.28 X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.90/1.28 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.90/1.28 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.90/1.28 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.90/1.28 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.90/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.28 ,
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.90/1.28 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.90/1.28 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.90/1.28 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.90/1.28 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.28 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.90/1.28 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.90/1.28 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.90/1.28 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 0.90/1.28 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.90/1.28 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.28 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'( Z,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_Power_Opower__class_Opower'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.28 ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.28 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.90/1.28 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.90/1.28 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.90/1.28 [ =( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 0.90/1.28 , 'c_Suc'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat'
% 0.90/1.28 ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.28 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 0.90/1.28 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.28 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.90/1.28 Y, Z, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.90/1.28 ), X ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.90/1.28 ), X ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.90/1.28 'class_OrderedGroup_Omonoid__mult'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.90/1.28 ), X ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 0.90/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.90/1.28 'c_Suc'( X ), 'tc_nat' ) ],
% 0.90/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.90/1.28 'c_Suc'( X ), 'tc_nat' ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.28 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 0.90/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.90/1.28 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.90/1.28 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.90/1.28 , Y, X ) ) ],
% 0.90/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.90/1.28 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.28 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ) )
% 0.90/1.28 ],
% 0.90/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.90/1.28 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.28 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ), 'tc_nat' ) )
% 0.90/1.28 ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.90/1.28 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.90/1.28 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.90/1.28 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.90/1.28 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.90/1.28 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.90/1.28 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.90/1.28 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.28 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.90/1.28 ,
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.28 , X ) ) ],
% 0.90/1.28 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' )
% 0.90/1.28 ],
% 0.90/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), T
% 0.90/1.28 , X ), 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.90/1.28 X ), Z, X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ]
% 0.90/1.28 ,
% 0.90/1.28 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), X
% 0.90/1.28 , 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), Y, 'tc_nat' ),
% 0.90/1.28 'tc_nat' ) ) ],
% 0.90/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X )
% 0.90/1.28 , Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat'
% 0.90/1.28 ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.90/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 0.90/1.28 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.90/1.28 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_lessequals'( Y, X,
% 0.90/1.28 'tc_nat' ) ],
% 0.90/1.28 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Suc'( Y )
% 0.90/1.28 , X, 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.90/1.28 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.90/1.28 , 'c_Power_Opower__class_Opower'( Y, Z, X ) ), ~(
% 0.90/1.28 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 0.90/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.90/1.28 'tc_nat' ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.90/1.28 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.28 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.90/1.28 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.90/1.28 ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.28 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.90/1.28 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.90/1.28 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.90/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.28 ,
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.28 ,
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.28 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.90/1.28 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), X, 'tc_nat' ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), Y, 'tc_nat' ), 'tc_nat' ) ) ]
% 0.90/1.28 ,
% 0.90/1.28 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y,
% 0.90/1.28 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat' ),
% 0.90/1.28 'tc_nat' ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.90/1.28 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.90/1.28 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.90/1.28 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.90/1.28 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.90/1.28 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.90/1.28 T, Z, X ) ) ), =( Y, T ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.90/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.90/1.28 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.28 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.28 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.28 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.90/1.28 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~(
% 0.90/1.28 'c_Parity_Oeven__odd__class_Oeven'( 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.90/1.28 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_Suc'( X ), 'tc_nat' ),
% 0.90/1.28 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 0.90/1.28 [ 'c_lessequals'( X, 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_nat' ),
% 0.90/1.28 'tc_nat' ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.90/1.28 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.28 Y, T, X ), Z, X ) ) ],
% 0.90/1.28 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( 'tc_nat' )
% 0.90/1.28 , 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ),
% 0.90/1.28 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 0.90/1.28 , X ), Z ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.90/1.28 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.90/1.28 , X ), Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.90/1.28 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.90/1.28 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.28 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.28 X ), T, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.28 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.90/1.28 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.90/1.28 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.90/1.28 'tc_nat' ) ) ],
% 0.90/1.28 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' )
% 0.90/1.28 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.90/1.28 'tc_nat' ) ) ],
% 0.90/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.90/1.28 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.90/1.28 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.90/1.28 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.90/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.90/1.28 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.90/1.28 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.90/1.28 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.90/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.90/1.28 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.90/1.28 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.90/1.28 'tc_nat' ) ) ],
% 0.90/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.90/1.28 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.90/1.28 ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.90/1.28 'tc_nat' ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.90/1.28 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.90/1.28 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.90/1.28 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.28 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.90/1.28 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.90/1.28 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.90/1.28 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.90/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.90/1.28 ), Y ) ],
% 0.90/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.90/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.90/1.28 ) ) ],
% 0.90/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.90/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.90/1.28 ) ) ],
% 0.90/1.28 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.90/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.90/1.28 ), Y ) ],
% 0.90/1.28 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.28 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.90/1.28 ), Y ) ],
% 0.90/1.28 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.90/1.28 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.90/1.28 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.90/1.29 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.90/1.29 , X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.90/1.29 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.90/1.29 , X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.90/1.29 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.90/1.29 , X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.90/1.29 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.90/1.29 , X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.29 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.90/1.29 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.29 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.90/1.29 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.29 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.90/1.29 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.29 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.90/1.29 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.90/1.29 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.90/1.29 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.90/1.29 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.90/1.29 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.90/1.29 ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( T ), X ),
% 0.90/1.29 'c_Power_Opower__class_Opower'( Z, 'c_Suc'( T ), X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.29 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.90/1.29 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( =( 'c_Complex_Ocnj'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 'tc_Complex_Ocomplex' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 'tc_Complex_Ocomplex' ) ) ],
% 0.90/1.29 [ ~( =( 'c_Complex_Ocnj'( X ), 'c_Complex_Ocnj'( Y ) ) ), =( X, Y ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.90/1.29 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.90/1.29 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.29 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.29 'c_HOL_Oone__class_Oone'( X ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.90/1.29 ), X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.90/1.29 Y, X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.90/1.29 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.90/1.29 X ), X ) ) ],
% 0.90/1.29 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 0.90/1.29 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 0.90/1.29 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Power_Opower__class_Opower'( Y
% 0.90/1.29 , Z, X ), X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.90/1.29 , Z, X ), 'c_Power_Opower__class_Opower'( T, U, X ), X ), ~(
% 0.90/1.29 'c_lessequals'( Z, U, 'tc_nat' ) ), ~(
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.90/1.29 [ 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ), ~( 'c_lessequals'( X, Y,
% 0.90/1.29 'tc_nat' ) ) ],
% 0.90/1.29 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ), Y,
% 0.90/1.29 'tc_nat' ) ) ],
% 0.90/1.29 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.90/1.29 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.90/1.29 ) ), X, 'tc_nat' ) ) ],
% 0.90/1.29 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Otimes__class_Otimes'( Y, X,
% 0.90/1.29 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.90/1.29 ) ), X, 'tc_nat' ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.29 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.90/1.29 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 0.90/1.29 Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'c_lessequals'( 'c_Suc'( X ), X, 'tc_nat' ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'c_Int_Oiszero'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.90/1.29 [ ~( =( 'c_Complex_Oii', 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 'tc_Complex_Ocomplex' ) ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.90/1.29 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.90/1.29 ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.90/1.29 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.90/1.29 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.90/1.29 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.90/1.29 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.90/1.29 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.90/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.90/1.29 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.90/1.29 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.90/1.29 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 0.90/1.29 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.90/1.29 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.90/1.29 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Power_Opower__class_Opower'(
% 0.90/1.29 Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.90/1.29 [ 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.90/1.29 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y,
% 0.90/1.29 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 'tc_nat' ) ), X, 'tc_nat' ) ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.90/1.29 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.90/1.29 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' )
% 0.90/1.29 ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.90/1.29 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.90/1.29 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.90/1.29 , X ) ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.90/1.29 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.90/1.29 , X ) ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.90/1.29 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.90/1.29 , Z, X ), T, X ), ~( 'c_lessequals'( Z, U, 'tc_nat' ) ), ~(
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.90/1.29 , U, X ), T, X ) ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.90/1.29 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.90/1.29 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.90/1.29 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.29 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.90/1.29 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ),
% 0.90/1.29 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 0.90/1.29 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Otimes__class_Otimes'( Y, X,
% 0.90/1.29 'tc_nat' ), 'tc_nat' ) ) ],
% 0.90/1.29 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.90/1.29 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.29 , Y, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.90/1.29 , T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.90/1.29 , T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.29 , Y, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.29 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Z, Y, X
% 0.90/1.29 ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.90/1.29 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 0.90/1.29 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.90/1.29 ), X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.90/1.29 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 0.90/1.29 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.90/1.29 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.90/1.29 ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.29 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.90/1.29 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.90/1.29 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.90/1.29 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.90/1.29 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.90/1.29 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.90/1.29 ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.90/1.29 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.90/1.29 ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.90/1.29 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 0.90/1.29 Y, X ), X ) ],
% 0.90/1.29 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.90/1.29 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.90/1.29 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ),
% 0.90/1.29 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.90/1.29 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 0.90/1.29 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ), =( Y,
% 0.90/1.29 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 0.90/1.29 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ), =( X,
% 0.90/1.29 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.90/1.29 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.90/1.29 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.90/1.29 'c_lessequals'( Z, Y, X ) ],
% 0.90/1.29 [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 'tc_nat' ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.90/1.29 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.90/1.29 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.90/1.29 [ ~( =( 'c_FFT__Mirabelle_Oroot'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 'tc_Complex_Ocomplex' ) ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.90/1.29 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T,
% 0.90/1.29 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'(
% 0.90/1.29 'c_Power_Opower__class_Opower'( Y, Z, X ), T, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), ~( 'c_Int_Oiszero'(
% 0.90/1.29 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.90/1.29 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.90/1.29 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.90/1.29 X ), T, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.90/1.29 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.90/1.29 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.90/1.29 X ), T, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 0.90/1.29 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.29 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ),
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ) ),
% 0.90/1.29 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.90/1.29 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.90/1.29 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 0.90/1.29 ), Y, X ) ), =( Z, T ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.90/1.29 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.90/1.29 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.90/1.29 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.90/1.29 [ =( 'c_Complex_Ocnj'( 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' )
% 0.90/1.29 ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.90/1.29 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.90/1.29 X ), Y ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.90/1.29 X ), Y ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.90/1.29 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 0.90/1.29 Y, Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 0.90/1.29 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 0.90/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 0.90/1.29 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.90/1.29 [ ~( =( 'c_Complex_Oii', 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 0.90/1.29 ) ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.90/1.29 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.90/1.29 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.90/1.29 X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.90/1.29 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.90/1.29 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.90/1.29 Y, T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X )
% 0.90/1.29 ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 0.90/1.29 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.29 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.90/1.29 ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 0.90/1.29 ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.90/1.29 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.90/1.29 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.90/1.29 Y, X ), Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.90/1.29 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.90/1.29 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.90/1.29 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.90/1.29 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.90/1.29 , Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.90/1.29 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 0.90/1.29 X ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.90/1.29 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.90/1.29 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.90/1.29 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.90/1.29 , Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.90/1.29 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.90/1.29 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.90/1.29 Z, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ),
% 0.90/1.29 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.90/1.29 ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.90/1.29 ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.90/1.29 ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.90/1.29 ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.90/1.29 ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.90/1.29 ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.90/1.29 ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 0.90/1.29 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.90/1.29 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 0.90/1.29 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_Power_Opower__class_Opower'( 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.90/1.29 , T, X ), 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 Z, T, 'tc_nat' ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.90/1.29 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.90/1.29 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.90/1.29 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.90/1.29 , Z, X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.90/1.29 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.90/1.29 [ =( 'c_Complex_Ocnj'( 'c_Power_Opower__class_Opower'( X, Y,
% 0.90/1.29 'tc_Complex_Ocomplex' ) ), 'c_Power_Opower__class_Opower'(
% 0.90/1.29 'c_Complex_Ocnj'( X ), Y, 'tc_Complex_Ocomplex' ) ) ],
% 0.90/1.29 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.90/1.29 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.90/1.29 ],
% 0.90/1.29 [ ~( =( 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( 'v_n'
% 0.90/1.29 ), 'v_n', 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'(
% 0.90/1.29 'tc_Complex_Ocomplex' ) ) ) ],
% 0.90/1.29 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.90/1.29 ],
% 0.90/1.29 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.90/1.29 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.90/1.29 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 0.90/1.29 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.90/1.29 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.90/1.29 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.90/1.29 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.90/1.29 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.90/1.29 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.90/1.29 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.90/1.29 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.90/1.29 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 0.90/1.29 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.90/1.29 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 0.90/1.29 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.90/1.29 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 0.90/1.29 [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 0.90/1.29 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.90/1.29 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.90/1.29 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.90/1.29 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.90/1.29 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.90/1.29 'tc_Complex_Ocomplex' ) ],
% 0.90/1.29 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.90/1.29 'tc_Complex_Ocomplex' ) ],
% 0.90/1.29 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 0.90/1.29 ) ],
% 0.90/1.29 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 0.90/1.29 ],
% 0.90/1.29 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.90/1.29 ],
% 0.90/1.29 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.90/1.29 ],
% 0.90/1.29 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.29 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.29 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.29 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.29 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.29 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.29 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.29 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.29 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.29 [ 'class_Ring__and__Field_Odvd'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.29 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.29 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.29 ] .
% 0.90/1.29
% 0.90/1.29
% 0.90/1.29 percentage equality = 0.160846, percentage horn = 0.798009
% 0.90/1.29 This is a problem with some equality
% 0.90/1.29
% 0.90/1.29
% 0.90/1.29
% 0.90/1.29 Options Used:
% 0.90/1.29
% 0.90/1.29 useres = 1
% 0.90/1.29 useparamod = 1
% 0.90/1.29 useeqrefl = 1
% 0.90/1.29 useeqfact = 1
% 0.90/1.29 usefactor = 1
% 0.90/1.29 usesimpsplitting = 0
% 0.90/1.29 usesimpdemod = 5
% 0.90/1.29 usesimpres = 3
% 0.90/1.29
% 0.90/1.29 resimpinuse = 1000
% 0.90/1.29 resimpclauses = 20000
% 0.90/1.29 substype = eqrewr
% 0.90/1.29 backwardsubs = 1
% 0.90/1.29 selectoldest = 5
% 0.90/1.29
% 0.90/1.29 litorderings [0] = split
% 0.90/1.29 litorderings [1] = extend the termordering, first sorting on arguments
% 0.90/1.29
% 0.90/1.29 termordering = kbo
% 0.90/1.29
% 0.90/1.29 litapriori = 0
% 0.90/1.29 termapriori = 1
% 0.90/1.29 litaposteriori = 0
% 0.90/1.29 termaposteriori = 0
% 0.90/1.29 demodaposteriori = 0
% 0.90/1.29 ordereqreflfact = 0
% 0.90/1.29
% 0.90/1.29 litselect = negord
% 0.90/1.29
% 0.90/1.29 maxweight = 15
% 0.90/1.29 maxdepth = 30000
% 0.90/1.29 maxlength = 115
% 0.90/1.29 maxnrvars = 195
% 0.90/1.29 excuselevel = 1
% 0.90/1.29 increasemaxweight = 1
% 0.90/1.29
% 0.90/1.29 maxselected = 10000000
% 0.90/1.29 maxnrclauses = 10000000
% 0.90/1.29
% 0.90/1.29 showgenerated = 0
% 0.90/1.29 showkept = 0
% 0.90/1.29 showselected = 0
% 0.90/1.29 showdeleted = 0
% 0.90/1.29 showresimp = 1
% 0.90/1.29 showstatus = 2000
% 0.90/1.29
% 0.90/1.29 prologoutput = 1
% 0.90/1.29 nrgoals = 5000000
% 0.90/1.29 totalproof = 1
% 0.90/1.29
% 0.90/1.29 Symbols occurring in the translation:
% 0.90/1.29
% 0.90/1.29 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.90/1.29 . [1, 2] (w:1, o:103, a:1, s:1, b:0),
% 0.90/1.29 ! [4, 1] (w:0, o:38, a:1, s:1, b:0),
% 0.90/1.29 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.90/1.29 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.90/1.29 'class_Ring__and__Field_Omult__mono1' [40, 1] (w:1, o:44, a:1, s:1
% 0.90/1.29 , b:0),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes' [43, 3] (w:1, o:134, a:1, s:1, b:0),
% 0.90/1.29 'c_lessequals' [45, 3] (w:1, o:135, a:1, s:1, b:0),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero' [46, 1] (w:1, o:45, a:1, s:1, b:0),
% 0.90/1.29 'class_Ring__and__Field_Omult__mono' [47, 1] (w:1, o:46, a:1, s:1, b:
% 5.13/5.52 0),
% 5.13/5.52 'class_Ring__and__Field_Opordered__ring' [48, 1] (w:1, o:56, a:1, s:1
% 5.13/5.52 , b:0),
% 5.13/5.52 'c_Suc' [50, 1] (w:1, o:57, a:1, s:1, b:0),
% 5.13/5.52 'class_Ring__and__Field_Odivision__ring' [51, 1] (w:1, o:60, a:1, s:1
% 5.13/5.52 , b:0),
% 5.13/5.52 'c_HOL_Oone__class_Oone' [52, 1] (w:1, o:61, a:1, s:1, b:0),
% 5.13/5.52 'c_HOL_Oinverse__class_Oinverse' [53, 2] (w:1, o:128, a:1, s:1, b:0)
% 5.13/5.52 ,
% 5.13/5.52 'class_Ring__and__Field_Oordered__idom' [54, 1] (w:1, o:49, a:1, s:1
% 5.13/5.52 , b:0),
% 5.13/5.52 'c_Power_Opower__class_Opower' [56, 3] (w:1, o:136, a:1, s:1, b:0),
% 5.13/5.52 'tc_nat' [57, 0] (w:1, o:20, a:1, s:1, b:0),
% 5.13/5.52 'c_Parity_Oeven__odd__class_Oeven' [58, 2] (w:1, o:129, a:1, s:1, b:0
% 5.13/5.52 ),
% 5.13/5.52 'c_HOL_Oord__class_Oless' [59, 3] (w:1, o:137, a:1, s:1, b:0),
% 5.13/5.52 'class_Ring__and__Field_Oordered__field' [60, 1] (w:1, o:50, a:1, s:1
% 5.13/5.52 , b:0),
% 5.13/5.52 'class_Ring__and__Field_Odivision__by__zero' [61, 1] (w:1, o:62, a:1
% 5.13/5.52 , s:1, b:0),
% 5.13/5.52 'c_HOL_Oinverse__class_Odivide' [62, 3] (w:1, o:138, a:1, s:1, b:0),
% 5.13/5.52
% 5.13/5.52 'class_OrderedGroup_Oab__semigroup__idem__mult' [65, 1] (w:1, o:63
% 5.13/5.52 , a:1, s:1, b:0),
% 5.13/5.52 'class_Ring__and__Field_Oordered__semiring__strict' [66, 1] (w:1, o:
% 5.13/5.52 52, a:1, s:1, b:0),
% 5.13/5.52 'class_Orderings_Oorder' [72, 1] (w:1, o:64, a:1, s:1, b:0),
% 5.13/5.52 'class_Orderings_Olinorder' [73, 1] (w:1, o:65, a:1, s:1, b:0),
% 5.13/5.52 'c_HOL_Ouminus__class_Ouminus' [74, 2] (w:1, o:130, a:1, s:1, b:0),
% 5.13/5.52 'class_Ring__and__Field_Oordered__ring__strict' [75, 1] (w:1, o:51
% 5.13/5.52 , a:1, s:1, b:0),
% 5.13/5.52 'class_Ring__and__Field_Opordered__cancel__semiring' [76, 1] (w:1, o:
% 5.13/5.52 66, a:1, s:1, b:0),
% 5.13/5.52 'class_Ring__and__Field_Ofield' [77, 1] (w:1, o:67, a:1, s:1, b:0),
% 5.13/5.52 'class_Int_Onumber__ring' [78, 1] (w:1, o:68, a:1, s:1, b:0),
% 5.13/5.52 'class_Divides_Oring__div' [79, 1] (w:1, o:69, a:1, s:1, b:0),
% 5.13/5.52 'c_Divides_Odiv__class_Odiv' [80, 3] (w:1, o:139, a:1, s:1, b:0),
% 5.13/5.52 'c_Ring__and__Field_Odvd__class_Odvd' [81, 3] (w:1, o:140, a:1, s:1
% 5.13/5.52 , b:0),
% 5.13/5.52 'class_OrderedGroup_Oab__semigroup__mult' [82, 1] (w:1, o:70, a:1, s:
% 5.13/5.52 1, b:0),
% 5.13/5.52 'class_Ring__and__Field_Ocomm__semiring__1' [83, 1] (w:1, o:59, a:1
% 5.13/5.52 , s:1, b:0),
% 5.13/5.52 'class_Ring__and__Field_Oordered__semidom' [89, 1] (w:1, o:53, a:1
% 5.13/5.52 , s:1, b:0),
% 5.13/5.52 'class_OrderedGroup_Oordered__ab__group__add' [90, 1] (w:1, o:71, a:1
% 5.13/5.52 , s:1, b:0),
% 5.13/5.52 'class_RealVector_Oreal__normed__algebra' [91, 1] (w:1, o:72, a:1, s:
% 5.13/5.52 1, b:0),
% 5.13/5.52 'class_Ring__and__Field_Oidom' [93, 1] (w:1, o:73, a:1, s:1, b:0),
% 5.13/5.52 'class_Ring__and__Field_Oring' [94, 1] (w:1, o:74, a:1, s:1, b:0),
% 5.13/5.52 'class_Ring__and__Field_Opordered__semiring' [96, 1] (w:1, o:76, a:1
% 5.13/5.52 , s:1, b:0),
% 5.13/5.52 'class_OrderedGroup_Opordered__ab__group__add__abs' [97, 1] (w:1, o:
% 5.13/5.52 77, a:1, s:1, b:0),
% 5.13/5.52 'c_HOL_Oabs__class_Oabs' [98, 2] (w:1, o:131, a:1, s:1, b:0),
% 5.13/5.52 'class_Divides_Osemiring__div' [99, 1] (w:1, o:78, a:1, s:1, b:0),
% 5.13/5.52 'class_Ring__and__Field_Osemiring__0' [100, 1] (w:1, o:82, a:1, s:1
% 5.13/5.52 , b:0),
% 5.13/5.52 'class_Power_Opower' [101, 1] (w:1, o:90, a:1, s:1, b:0),
% 5.13/5.52 'class_Ring__and__Field_Ozero__neq__one' [102, 1] (w:1, o:91, a:1, s:
% 5.13/5.52 1, b:0),
% 5.13/5.52 'class_Ring__and__Field_Ono__zero__divisors' [103, 1] (w:1, o:48, a:1
% 5.13/5.52 , s:1, b:0),
% 5.13/5.52 'class_Ring__and__Field_Omult__zero' [104, 1] (w:1, o:47, a:1, s:1
% 5.13/5.52 , b:0),
% 5.13/5.52 'class_OrderedGroup_Opordered__ab__group__add' [105, 1] (w:1, o:83
% 5.13/5.52 , a:1, s:1, b:0),
% 5.13/5.52 'class_RealVector_Oreal__normed__vector' [106, 1] (w:1, o:92, a:1, s:
% 5.13/5.52 1, b:0),
% 5.13/5.52 'c_HOL_Osgn__class_Osgn' [107, 2] (w:1, o:132, a:1, s:1, b:0),
% 5.13/5.52 'class_Ring__and__Field_Opordered__ring__abs' [108, 1] (w:1, o:75, a:
% 5.13/5.52 1, s:1, b:0),
% 5.13/5.52 'class_Lattices_Oboolean__algebra' [109, 1] (w:1, o:93, a:1, s:1, b:0
% 5.13/5.52 ),
% 5.13/5.52 'class_OrderedGroup_Ogroup__add' [110, 1] (w:1, o:84, a:1, s:1, b:0)
% 5.13/5.52 ,
% 5.13/5.52 'class_Ring__and__Field_Osgn__if' [111, 1] (w:1, o:94, a:1, s:1, b:0)
% 5.13/5.52 ,
% 5.13/5.52 'class_Ring__and__Field_Oring__no__zero__divisors' [112, 1] (w:1, o:
% 5.13/5.52 79, a:1, s:1, b:0),
% 5.13/5.52 'class_Ring__and__Field_Oabs__if' [113, 1] (w:1, o:95, a:1, s:1, b:0)
% 5.13/5.52 ,
% 36.12/36.50 'class_OrderedGroup_Olordered__ab__group__add__abs' [114, 1] (w:1, o:
% 36.12/36.50 85, a:1, s:1, b:0),
% 36.12/36.50 'class_Ring__and__Field_Ocomm__ring__1' [115, 1] (w:1, o:58, a:1, s:1
% 36.12/36.50 , b:0),
% 36.12/36.50 'class_OrderedGroup_Olordered__ab__group__add' [116, 1] (w:1, o:86
% 36.12/36.50 , a:1, s:1, b:0),
% 36.12/36.50 'class_Ring__and__Field_Oordered__semiring' [117, 1] (w:1, o:54, a:1
% 36.12/36.50 , s:1, b:0),
% 36.12/36.50 'class_Ring__and__Field_Olordered__ring' [119, 1] (w:1, o:43, a:1, s:
% 36.12/36.50 1, b:0),
% 36.12/36.50 'class_Ring__and__Field_Odvd' [120, 1] (w:1, o:96, a:1, s:1, b:0),
% 36.12/36.50 'tc_Complex_Ocomplex' [121, 0] (w:1, o:33, a:1, s:1, b:0),
% 36.12/36.50 'c_Complex_Ocnj' [122, 1] (w:1, o:97, a:1, s:1, b:0),
% 36.12/36.50 'class_OrderedGroup_Omonoid__mult' [123, 1] (w:1, o:87, a:1, s:1, b:0
% 36.12/36.50 ),
% 36.12/36.50 'class_Orderings_Opreorder' [125, 1] (w:1, o:88, a:1, s:1, b:0),
% 36.12/36.50 'class_Ring__and__Field_Osemiring__1' [128, 1] (w:1, o:98, a:1, s:1
% 36.12/36.50 , b:0),
% 36.12/36.50 'c_Int_Oiszero' [129, 2] (w:1, o:133, a:1, s:1, b:0),
% 36.12/36.50 'class_RealVector_Oreal__normed__field' [130, 1] (w:1, o:99, a:1, s:1
% 36.12/36.50 , b:0),
% 36.12/36.50 'class_Ring__and__Field_Oordered__comm__semiring__strict' [131, 1]
% 36.12/36.50 (w:1, o:55, a:1, s:1, b:0),
% 36.12/36.50 'c_Complex_Oii' [132, 0] (w:1, o:36, a:1, s:1, b:0),
% 36.12/36.50 'class_RealVector_Oreal__normed__div__algebra' [133, 1] (w:1, o:100
% 36.12/36.50 , a:1, s:1, b:0),
% 36.12/36.50 'c_FFT__Mirabelle_Oroot' [134, 1] (w:1, o:101, a:1, s:1, b:0),
% 36.12/36.50 'class_Ring__and__Field_Oring__1' [135, 1] (w:1, o:80, a:1, s:1, b:0)
% 36.12/36.50 ,
% 36.12/36.50 'class_OrderedGroup_Ocomm__monoid__mult' [136, 1] (w:1, o:89, a:1, s:
% 36.12/36.50 1, b:0),
% 36.12/36.50 'class_Ring__and__Field_Oring__1__no__zero__divisors' [137, 1] (w:1
% 36.12/36.50 , o:81, a:1, s:1, b:0),
% 36.12/36.50 'class_RealVector_Oreal__normed__algebra__1' [139, 1] (w:1, o:102, a:
% 36.12/36.50 1, s:1, b:0),
% 36.12/36.50 'v_n' [140, 0] (w:1, o:37, a:1, s:1, b:0).
% 36.12/36.50
% 36.12/36.50
% 36.12/36.50 Starting Search:
% 36.12/36.50
% 36.12/36.50 Resimplifying inuse:
% 36.12/36.50 Done
% 36.12/36.50
% 36.12/36.50
% 36.12/36.50 Intermediate Status:
% 36.12/36.50 Generated: 4457
% 36.12/36.50 Kept: 2002
% 36.12/36.50 Inuse: 141
% 36.12/36.50 Deleted: 3
% 36.12/36.50 Deletedinuse: 0
% 36.12/36.50
% 36.12/36.50 Resimplifying inuse:
% 36.12/36.50 Done
% 36.12/36.50
% 36.12/36.50 Resimplifying inuse:
% 36.12/36.50 Done
% 36.12/36.50
% 36.12/36.50
% 36.12/36.50 Intermediate Status:
% 36.12/36.50 Generated: 15677
% 36.12/36.50 Kept: 4010
% 36.12/36.50 Inuse: 177
% 36.12/36.50 Deleted: 5
% 36.12/36.50 Deletedinuse: 1
% 36.12/36.50
% 36.12/36.50 Resimplifying inuse:
% 36.12/36.50 Done
% 36.12/36.50
% 36.12/36.50
% 36.12/36.50 Intermediate Status:
% 36.12/36.50 Generated: 25214
% 36.12/36.50 Kept: 6026
% 36.12/36.50 Inuse: 232
% 36.12/36.50 Deleted: 5
% 36.12/36.50 Deletedinuse: 1
% 36.12/36.50
% 36.12/36.50 Resimplifying inuse:
% 36.12/36.50 Done
% 36.12/36.50
% 36.12/36.50 Resimplifying inuse:
% 36.12/36.50 Done
% 36.12/36.50
% 36.12/36.50
% 36.12/36.50 Intermediate Status:
% 36.12/36.50 Generated: 36058
% 36.12/36.50 Kept: 8095
% 36.12/36.50 Inuse: 322
% 36.12/36.50 Deleted: 5
% 36.12/36.50 Deletedinuse: 1
% 36.12/36.50
% 36.12/36.50 Resimplifying inuse:
% 36.12/36.50 Done
% 36.12/36.50
% 36.12/36.50 Resimplifying inuse:
% 36.12/36.50 Done
% 36.12/36.50
% 36.12/36.50
% 36.12/36.50 Intermediate Status:
% 36.12/36.50 Generated: 47795
% 36.12/36.50 Kept: 10244
% 36.12/36.50 Inuse: 369
% 36.12/36.50 Deleted: 9
% 36.12/36.50 Deletedinuse: 2
% 36.12/36.50
% 36.12/36.50 Resimplifying inuse:
% 36.12/36.50 Done
% 36.12/36.50
% 36.12/36.50 Resimplifying inuse:
% 36.12/36.50 Done
% 36.12/36.50
% 36.12/36.50
% 36.12/36.50 Intermediate Status:
% 36.12/36.50 Generated: 60686
% 36.12/36.50 Kept: 12249
% 36.12/36.50 Inuse: 428
% 36.12/36.50 Deleted: 11
% 36.12/36.50 Deletedinuse: 2
% 36.12/36.50
% 36.12/36.50 Resimplifying inuse:
% 36.12/36.50 Done
% 36.12/36.50
% 36.12/36.50
% 36.12/36.50 Intermediate Status:
% 36.12/36.50 Generated: 73658
% 36.12/36.50 Kept: 14561
% 36.12/36.50 Inuse: 478
% 36.12/36.50 Deleted: 14
% 36.12/36.50 Deletedinuse: 2
% 36.12/36.50
% 36.12/36.50 Resimplifying inuse:
% 36.12/36.50 Done
% 36.12/36.50
% 36.12/36.50 Resimplifying inuse:
% 36.12/36.50 Done
% 36.12/36.50
% 36.12/36.50
% 36.12/36.50 Intermediate Status:
% 36.12/36.50 Generated: 85366
% 36.12/36.50 Kept: 16676
% 36.12/36.50 Inuse: 519
% 36.12/36.50 Deleted: 14
% 36.12/36.50 Deletedinuse: 2
% 36.12/36.50
% 36.12/36.50 Resimplifying inuse:
% 36.12/36.50 Done
% 36.12/36.50
% 36.12/36.50 Resimplifying inuse:
% 36.12/36.50 Done
% 36.12/36.50
% 36.12/36.50
% 36.12/36.50 Intermediate Status:
% 36.12/36.50 Generated: 96517
% 36.12/36.50 Kept: 18746
% 36.12/36.50 Inuse: 568
% 36.12/36.50 Deleted: 15
% 36.12/36.50 Deletedinuse: 2
% 36.12/36.50
% 36.12/36.50 Resimplifying inuse:
% 36.12/36.50 Done
% 36.12/36.50
% 36.12/36.50 Resimplifying inuse:
% 36.12/36.50 Done
% 36.12/36.50
% 36.12/36.50 Resimplifying clauses:
% 36.12/36.50 Done
% 36.12/36.50
% 36.12/36.50
% 36.12/36.50 Intermediate Status:
% 36.12/36.50 Generated: 110762
% 36.12/36.50 Kept: 20961
% 36.12/36.50 Inuse: 600
% 36.12/36.50 Deleted: 662
% 36.12/36.50 Deletedinuse: 3
% 36.12/36.50
% 36.12/36.50 Resimplifying inuse:
% 36.12/36.50 Done
% 36.12/36.50
% 36.12/36.50 Resimplifying inuse:
% 36.12/36.50 Done
% 36.12/36.50
% 36.12/36.50
% 36.12/36.50 Intermediate Status:
% 36.12/36.50 Generated: 127841
% 36.12/36.50 Kept: 23549
% 36.12/36.50 Inuse: 615
% 36.12/36.50 Deleted: 665
% 36.12/36.50 Deletedinuse: 6
% 36.12/36.50
% 36.12/36.50 Resimplifying inuse:
% 36.12/36.50 Done
% 36.12/36.50
% 36.12/36.50 Resimplifying inuse:
% 36.12/36.50 Done
% 36.12/36.50
% 36.12/36.50
% 36.12/36.50 Intermediate Status:
% 36.12/36.50 Generated: 149584
% 36.12/36.50 Kept: 26567
% 36.12/36.50 Inuse: 630
% 36.12/36.50 Deleted: 666
% 36.12/36.50 Deletedinuse: 7
% 36.12/36.50
% 36.12/36.50 Resimplifying inuse:
% 36.12/36.50 Done
% 36.12/36.50
% 36.12/36.50 Resimplifying inuse:
% 36.12/36.50 Done
% 36.12/36.50
% 36.12/36.50
% 36.12/36.50 Intermediate Status:
% 36.12/36.50 Generated: 161515
% 36.12/36.50 Kept: 28654
% 36.12/36.50 Inuse: 653
% 36.12/36.50 Deleted: 669
% 36.12/36.50 Deletedinuse: 8
% 36.12/36.50
% 36.12/36.50 Resimplifying inuse:
% 36.12/36.50 Done
% 36.12/36.50
% 36.12/36.50 Resimplifying inuse:
% 36.12/36.50 Done
% 36.12/36.50
% 36.12/36.50
% 36.12/36.50 Intermediate Status:
% 36.12/36.50 Generated: 178948
% 36.12/36.50 Kept: 31096
% 36.12/36.50 Inuse: 678
% 36.12/36.50 Deleted: 669
% 36.12/36.50 Deletedinuse: 8
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76
% 94.31/94.76 Intermediate Status:
% 94.31/94.76 Generated: 192538
% 94.31/94.76 Kept: 33112
% 94.31/94.76 Inuse: 709
% 94.31/94.76 Deleted: 689
% 94.31/94.76 Deletedinuse: 24
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76
% 94.31/94.76 Intermediate Status:
% 94.31/94.76 Generated: 215220
% 94.31/94.76 Kept: 35842
% 94.31/94.76 Inuse: 744
% 94.31/94.76 Deleted: 689
% 94.31/94.76 Deletedinuse: 24
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76
% 94.31/94.76 Intermediate Status:
% 94.31/94.76 Generated: 237547
% 94.31/94.76 Kept: 38106
% 94.31/94.76 Inuse: 754
% 94.31/94.76 Deleted: 689
% 94.31/94.76 Deletedinuse: 24
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76
% 94.31/94.76 Intermediate Status:
% 94.31/94.76 Generated: 260477
% 94.31/94.76 Kept: 40670
% 94.31/94.76 Inuse: 789
% 94.31/94.76 Deleted: 689
% 94.31/94.76 Deletedinuse: 24
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76 Resimplifying clauses:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76
% 94.31/94.76 Intermediate Status:
% 94.31/94.76 Generated: 278240
% 94.31/94.76 Kept: 43016
% 94.31/94.76 Inuse: 809
% 94.31/94.76 Deleted: 1314
% 94.31/94.76 Deletedinuse: 24
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76
% 94.31/94.76 Intermediate Status:
% 94.31/94.76 Generated: 298606
% 94.31/94.76 Kept: 45173
% 94.31/94.76 Inuse: 839
% 94.31/94.76 Deleted: 1314
% 94.31/94.76 Deletedinuse: 24
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76
% 94.31/94.76 Intermediate Status:
% 94.31/94.76 Generated: 317562
% 94.31/94.76 Kept: 48192
% 94.31/94.76 Inuse: 874
% 94.31/94.76 Deleted: 1314
% 94.31/94.76 Deletedinuse: 24
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76
% 94.31/94.76 Intermediate Status:
% 94.31/94.76 Generated: 332505
% 94.31/94.76 Kept: 50410
% 94.31/94.76 Inuse: 904
% 94.31/94.76 Deleted: 1315
% 94.31/94.76 Deletedinuse: 25
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76
% 94.31/94.76 Intermediate Status:
% 94.31/94.76 Generated: 352643
% 94.31/94.76 Kept: 52433
% 94.31/94.76 Inuse: 949
% 94.31/94.76 Deleted: 1315
% 94.31/94.76 Deletedinuse: 25
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76
% 94.31/94.76 Intermediate Status:
% 94.31/94.76 Generated: 369439
% 94.31/94.76 Kept: 54435
% 94.31/94.76 Inuse: 981
% 94.31/94.76 Deleted: 1315
% 94.31/94.76 Deletedinuse: 25
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76
% 94.31/94.76 Intermediate Status:
% 94.31/94.76 Generated: 387566
% 94.31/94.76 Kept: 56532
% 94.31/94.76 Inuse: 1014
% 94.31/94.76 Deleted: 1317
% 94.31/94.76 Deletedinuse: 27
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76
% 94.31/94.76 Intermediate Status:
% 94.31/94.76 Generated: 413083
% 94.31/94.76 Kept: 58862
% 94.31/94.76 Inuse: 1029
% 94.31/94.76 Deleted: 1317
% 94.31/94.76 Deletedinuse: 27
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76
% 94.31/94.76 Intermediate Status:
% 94.31/94.76 Generated: 421190
% 94.31/94.76 Kept: 60937
% 94.31/94.76 Inuse: 1034
% 94.31/94.76 Deleted: 1317
% 94.31/94.76 Deletedinuse: 27
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76 Resimplifying clauses:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76
% 94.31/94.76 Intermediate Status:
% 94.31/94.76 Generated: 437551
% 94.31/94.76 Kept: 63385
% 94.31/94.76 Inuse: 1044
% 94.31/94.76 Deleted: 1881
% 94.31/94.76 Deletedinuse: 28
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76
% 94.31/94.76 Intermediate Status:
% 94.31/94.76 Generated: 449504
% 94.31/94.76 Kept: 65390
% 94.31/94.76 Inuse: 1067
% 94.31/94.76 Deleted: 1881
% 94.31/94.76 Deletedinuse: 28
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76
% 94.31/94.76 Intermediate Status:
% 94.31/94.76 Generated: 471134
% 94.31/94.76 Kept: 67942
% 94.31/94.76 Inuse: 1084
% 94.31/94.76 Deleted: 1881
% 94.31/94.76 Deletedinuse: 28
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76
% 94.31/94.76 Intermediate Status:
% 94.31/94.76 Generated: 491370
% 94.31/94.76 Kept: 70097
% 94.31/94.76 Inuse: 1094
% 94.31/94.76 Deleted: 1881
% 94.31/94.76 Deletedinuse: 28
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76
% 94.31/94.76 Intermediate Status:
% 94.31/94.76 Generated: 505784
% 94.31/94.76 Kept: 72123
% 94.31/94.76 Inuse: 1117
% 94.31/94.76 Deleted: 1881
% 94.31/94.76 Deletedinuse: 28
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76
% 94.31/94.76 Intermediate Status:
% 94.31/94.76 Generated: 518964
% 94.31/94.76 Kept: 74138
% 94.31/94.76 Inuse: 1147
% 94.31/94.76 Deleted: 1881
% 94.31/94.76 Deletedinuse: 28
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76
% 94.31/94.76 Intermediate Status:
% 94.31/94.76 Generated: 534367
% 94.31/94.76 Kept: 76245
% 94.31/94.76 Inuse: 1158
% 94.31/94.76 Deleted: 1882
% 94.31/94.76 Deletedinuse: 28
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76
% 94.31/94.76 Intermediate Status:
% 94.31/94.76 Generated: 547317
% 94.31/94.76 Kept: 78294
% 94.31/94.76 Inuse: 1187
% 94.31/94.76 Deleted: 1884
% 94.31/94.76 Deletedinuse: 29
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76
% 94.31/94.76 Intermediate Status:
% 94.31/94.76 Generated: 559391
% 94.31/94.76 Kept: 80572
% 94.31/94.76 Inuse: 1212
% 94.31/94.76 Deleted: 1884
% 94.31/94.76 Deletedinuse: 29
% 94.31/94.76
% 94.31/94.76 Resimplifying clauses:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76
% 94.31/94.76 Intermediate Status:
% 94.31/94.76 Generated: 567916
% 94.31/94.76 Kept: 82587
% 94.31/94.76 Inuse: 1232
% 94.31/94.76 Deleted: 2229
% 94.31/94.76 Deletedinuse: 30
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76 Resimplifying inuse:
% 94.31/94.76 Done
% 94.31/94.76
% 94.31/94.76
% 94.31/94.76 Intermediate Status:
% 94.31/94.76 Generated: 578207
% 94.31/94.76 Kept: 84592
% 207.75/208.22 Inuse: 1256
% 207.75/208.22 Deleted: 2231
% 207.75/208.22 Deletedinuse: 31
% 207.75/208.22
% 207.75/208.22 Resimplifying inuse:
% 207.75/208.22 Done
% 207.75/208.22
% 207.75/208.22 Resimplifying inuse:
% 207.75/208.22 Done
% 207.75/208.22
% 207.75/208.22
% 207.75/208.22 Intermediate Status:
% 207.75/208.22 Generated: 587743
% 207.75/208.22 Kept: 86623
% 207.75/208.22 Inuse: 1279
% 207.75/208.22 Deleted: 2252
% 207.75/208.22 Deletedinuse: 46
% 207.75/208.22
% 207.75/208.22 Resimplifying inuse:
% 207.75/208.22 Done
% 207.75/208.22
% 207.75/208.22 Resimplifying inuse:
% 207.75/208.22 Done
% 207.75/208.22
% 207.75/208.22
% 207.75/208.22 Intermediate Status:
% 207.75/208.22 Generated: 600075
% 207.75/208.22 Kept: 88772
% 207.75/208.22 Inuse: 1303
% 207.75/208.22 Deleted: 2264
% 207.75/208.22 Deletedinuse: 52
% 207.75/208.22
% 207.75/208.22 Resimplifying inuse:
% 207.75/208.22 Done
% 207.75/208.22
% 207.75/208.22
% 207.75/208.22 Intermediate Status:
% 207.75/208.22 Generated: 619743
% 207.75/208.22 Kept: 91416
% 207.75/208.22 Inuse: 1323
% 207.75/208.22 Deleted: 2264
% 207.75/208.22 Deletedinuse: 52
% 207.75/208.22
% 207.75/208.22 Resimplifying inuse:
% 207.75/208.22 Done
% 207.75/208.22
% 207.75/208.22 Resimplifying inuse:
% 207.75/208.22 Done
% 207.75/208.22
% 207.75/208.22
% 207.75/208.22 Intermediate Status:
% 207.75/208.22 Generated: 638788
% 207.75/208.22 Kept: 93651
% 207.75/208.22 Inuse: 1348
% 207.75/208.22 Deleted: 2265
% 207.75/208.22 Deletedinuse: 53
% 207.75/208.22
% 207.75/208.22 Resimplifying inuse:
% 207.75/208.22 Done
% 207.75/208.22
% 207.75/208.22 Resimplifying inuse:
% 207.75/208.22 Done
% 207.75/208.22
% 207.75/208.22
% 207.75/208.22 Intermediate Status:
% 207.75/208.22 Generated: 654680
% 207.75/208.22 Kept: 95662
% 207.75/208.22 Inuse: 1383
% 207.75/208.22 Deleted: 2267
% 207.75/208.22 Deletedinuse: 54
% 207.75/208.22
% 207.75/208.22 Resimplifying inuse:
% 207.75/208.22 Done
% 207.75/208.22
% 207.75/208.22 Resimplifying inuse:
% 207.75/208.22 Done
% 207.75/208.22
% 207.75/208.22
% 207.75/208.22 Intermediate Status:
% 207.75/208.22 Generated: 672597
% 207.75/208.22 Kept: 97670
% 207.75/208.22 Inuse: 1400
% 207.75/208.23 Deleted: 2269
% 207.75/208.23 Deletedinuse: 56
% 207.75/208.23
% 207.75/208.23 Resimplifying inuse:
% 207.75/208.23 Done
% 207.75/208.23
% 207.75/208.23
% 207.75/208.23 Intermediate Status:
% 207.75/208.23 Generated: 695329
% 207.75/208.23 Kept: 100574
% 207.75/208.23 Inuse: 1427
% 207.75/208.23 Deleted: 2269
% 207.75/208.23 Deletedinuse: 56
% 207.75/208.23
% 207.75/208.23 Resimplifying inuse:
% 207.75/208.23 Done
% 207.75/208.23
% 207.75/208.23 Resimplifying clauses:
% 207.75/208.23 Done
% 207.75/208.23
% 207.75/208.23 Resimplifying inuse:
% 207.75/208.23 Done
% 207.75/208.23
% 207.75/208.23
% 207.75/208.23 Intermediate Status:
% 207.75/208.23 Generated: 719198
% 207.75/208.23 Kept: 104505
% 207.75/208.23 Inuse: 1452
% 207.75/208.23 Deleted: 4582
% 207.75/208.23 Deletedinuse: 56
% 207.75/208.23
% 207.75/208.23 Resimplifying inuse:
% 207.75/208.23 Done
% 207.75/208.23
% 207.75/208.23
% 207.75/208.23 Intermediate Status:
% 207.75/208.23 Generated: 728981
% 207.75/208.23 Kept: 106603
% 207.75/208.23 Inuse: 1457
% 207.75/208.23 Deleted: 4582
% 207.75/208.23 Deletedinuse: 56
% 207.75/208.23
% 207.75/208.23 Resimplifying inuse:
% 207.75/208.23 Done
% 207.75/208.23
% 207.75/208.23 Resimplifying inuse:
% 207.75/208.23 Done
% 207.75/208.23
% 207.75/208.23
% 207.75/208.23 Intermediate Status:
% 207.75/208.23 Generated: 752524
% 207.75/208.23 Kept: 108705
% 207.75/208.23 Inuse: 1472
% 207.75/208.23 Deleted: 4582
% 207.75/208.23 Deletedinuse: 56
% 207.75/208.23
% 207.75/208.23 Resimplifying inuse:
% 207.75/208.23 Done
% 207.75/208.23
% 207.75/208.23
% 207.75/208.23 Intermediate Status:
% 207.75/208.23 Generated: 769193
% 207.75/208.23 Kept: 111000
% 207.75/208.23 Inuse: 1487
% 207.75/208.23 Deleted: 4582
% 207.75/208.23 Deletedinuse: 56
% 207.75/208.23
% 207.75/208.23 Resimplifying inuse:
% 207.75/208.23 Done
% 207.75/208.23
% 207.75/208.23 Resimplifying inuse:
% 207.75/208.23 Done
% 207.75/208.23
% 207.75/208.23
% 207.75/208.23 Intermediate Status:
% 207.75/208.23 Generated: 782114
% 207.75/208.23 Kept: 113258
% 207.75/208.23 Inuse: 1507
% 207.75/208.23 Deleted: 4582
% 207.75/208.23 Deletedinuse: 56
% 207.75/208.23
% 207.75/208.23 Resimplifying inuse:
% 207.75/208.23 Done
% 207.75/208.23
% 207.75/208.23 Resimplifying inuse:
% 207.75/208.23 Done
% 207.75/208.23
% 207.75/208.23
% 207.75/208.23 Intermediate Status:
% 207.75/208.23 Generated: 797218
% 207.75/208.23 Kept: 115304
% 207.75/208.23 Inuse: 1537
% 207.75/208.23 Deleted: 4582
% 207.75/208.23 Deletedinuse: 56
% 207.75/208.23
% 207.75/208.23 Resimplifying inuse:
% 207.75/208.23 Done
% 207.75/208.23
% 207.75/208.23
% 207.75/208.23 Intermediate Status:
% 207.75/208.23 Generated: 813614
% 207.75/208.23 Kept: 117496
% 207.75/208.23 Inuse: 1547
% 207.75/208.23 Deleted: 4582
% 207.75/208.23 Deletedinuse: 56
% 207.75/208.23
% 207.75/208.23 Resimplifying inuse:
% 207.75/208.23 Done
% 207.75/208.23
% 207.75/208.23 Resimplifying inuse:
% 207.75/208.23 Done
% 207.75/208.23
% 207.75/208.23
% 207.75/208.23 Intermediate Status:
% 207.75/208.23 Generated: 826068
% 207.75/208.23 Kept: 119918
% 207.75/208.23 Inuse: 1567
% 207.75/208.23 Deleted: 4582
% 207.75/208.23 Deletedinuse: 56
% 207.75/208.23
% 207.75/208.23 Resimplifying inuse:
% 207.75/208.23 Done
% 207.75/208.23
% 207.75/208.23
% 207.75/208.23 Intermediate Status:
% 207.75/208.23 Generated: 838271
% 207.75/208.23 Kept: 122356
% 207.75/208.23 Inuse: 1575
% 207.75/208.23 Deleted: 4582
% 207.75/208.23 Deletedinuse: 56
% 207.75/208.23
% 207.75/208.23 Resimplifying inuse:
% 207.75/208.23 Done
% 207.75/208.23
% 207.75/208.23 Resimplifying clauses:
% 207.75/208.23 Done
% 207.75/208.23
% 207.75/208.23 Resimplifying inuse:
% 207.75/208.23 Done
% 207.75/208.23
% 207.75/208.23
% 207.75/208.23 Intermediate Status:
% 207.75/208.23 Generated: 849471
% 207.75/208.23 Kept: 124394
% 207.75/208.23 Inuse: 1592
% 207.75/208.23 Deleted: 5156
% 207.75/208.23 Deletedinuse: 60
% 207.75/208.23
% 207.75/208.23 Resimplifying inuse:
% 207.75/208.23 Done
% 207.75/208.23
% 207.75/208.23 Resimplifying inuse:
% 207.75/208.23 Done
% 207.75/208.23
% 207.75/208.23
% 207.75/208.23 Intermediate Status:
% 207.75/208.23 Generated: 891044
% 207.75/208.23 Kept: 128322
% 207.75/208.23 Inuse: 1612
% 207.75/208.23 Deleted: 5156
% 207.75/208.23 Deletedinuse: 60
% 207.75/208.23
% 207.75/208.23 Resimplifying inuse:
% 207.75/208.23 Done
% 207.75/208.23
% 207.75/208.23 Resimplifying inuse:
% 207.75/208.23 Done
% 207.75/208.23
% 207.75/208.23
% 207.75/208.23 Intermediate Status:
% 207.75/208.23 Generated: 931216
% 207.75/208.23 Kept: 131952
% 207.75/208.23 Inuse: 1618
% 207.75/208.23 Deleted: 5157
% 207.75/208.23 Deletedinuse: 61
% 207.75/208.23
% 207.75/208.23 Resimplifying inuse:
% 207.75/208.23 Done
% 207.75/208.23
% 207.75/208.23
% 207.75/208.23 Intermediate Status:
% 207.75/208.23 Generated: 939071
% 207.75/208.23 Kept: 134290
% 207.75/208.23 Inuse: 1619
% 207.75/208.23 Deleted: 5159
% 207.75/208.23 Deletedinuse: 63
% 207.75/208.23
% 207.75/208.23 Resimplifying inuse:
% 207.75/208.23 Done
% 207.75/208.23
% 207.75/208.23 Resimplifying inuse:
% 207.75/208.23 Done
% 207.75/208.23
% 207.75/208.23
% 207.75/208.23 Intermediate Status:
% 207.75/208.23 Generated: 954728
% 207.75/208.23 Kept: 136721
% 207.75/208.23 Inuse: 1637
% 207.75/208.23 Deleted: 5175
% 207.75/208.23 Deletedinuse: 79
% 207.75/208.23
% 207.75/208.23 Resimplifying inuse:
% 207.75/208.23 Done
% 207.75/208.23
% 207.75/208.23 Resimplifying inuse:
% 207.75/208.23 Done
% 207.75/208.23
% 207.75/208.23
% 207.75/208.23 Intermediate Status:
% 207.75/208.23 Generated: 971881
% 207.75/208.23 Kept: 139245
% 207.75/208.23 Inuse: 1657
% 207.75/208.23 Deleted: 5175
% 207.75/208.23 Deletedinuse: 79
% 207.75/208.23
% 207.75/208.23 Resimplifying inuse:
% 207.75/208.23 Done
% 207.75/208.23
% 207.75/208.23 Resimplifying inuse:
% 207.75/208.23 Done
% 207.75/208.23
% 207.75/208.23
% 207.75/208.23 Intermediate Status:
% 207.75/208.23 Generated: 988976
% 207.75/208.23 Kept: 141246
% 207.75/208.23 Inuse: 1684
% 207.75/208.23 Deleted: 5175
% 207.75/208.23 Deletedinuse: 79
% 207.75/208.23
% 207.75/208.23 Resimplifying inuse:
% 207.75/208.23 Done
% 207.75/208.23
% 207.75/208.23 Resimplifying clauses:
% 207.75/208.23 Done
% 207.75/208.23
% 207.75/208.23
% 207.75/208.23 Intermediate Status:
% 207.75/208.23 Generated: 1015732
% 207.75/208.23 Kept: 143921
% 207.75/208.23 Inuse: 1697
% 207.75/208.23 Deleted: 6019
% 207.75/208.23 DeletediCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------