TSTP Solution File: SWV623-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV623-1 : 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 16:27:13 EDT 2022
% Result : Timeout 300.07s 300.51s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV623-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Tue Jun 14 17:27:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.95/1.35 *** allocated 10000 integers for termspace/termends
% 0.95/1.35 *** allocated 10000 integers for clauses
% 0.95/1.35 *** allocated 10000 integers for justifications
% 0.95/1.35 *** allocated 15000 integers for termspace/termends
% 0.95/1.35 *** allocated 22500 integers for termspace/termends
% 0.95/1.35 Bliksem 1.12
% 0.95/1.35
% 0.95/1.35
% 0.95/1.35 Automatic Strategy Selection
% 0.95/1.35
% 0.95/1.35 Clauses:
% 0.95/1.35 [
% 0.95/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.95/1.35 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.95/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.95/1.35 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.95/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 0.95/1.35 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.95/1.35 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.95/1.35 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.95/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 0.95/1.35 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.95/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.95/1.35 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.35 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.35 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.35 , X ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.35 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.95/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 0.95/1.35 [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat' ) ) ), =( Y, Z )
% 0.95/1.35 ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.95/1.35 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.95/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.95/1.35 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.95/1.35 T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X ) ),
% 0.95/1.35 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.95/1.35 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.95/1.35 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.95/1.35 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.95/1.35 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.95/1.35 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.95/1.35 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.95/1.35 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.95/1.35 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 0.95/1.35 Z, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, Z
% 0.95/1.35 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.35 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.95/1.35 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.35 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.35 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.95/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.95/1.35 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.35 X ), T, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.95/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.95/1.35 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.35 X ), Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.95/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.95/1.35 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.95/1.35 X ), Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.95/1.35 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.95/1.35 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.95/1.35 Z, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.95/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 0.95/1.35 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.95/1.35 Z, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.95/1.35 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 0.95/1.35 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 0.95/1.35 X ), Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.95/1.35 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.35 ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.95/1.35 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.35 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.95/1.35 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.35 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.95/1.35 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.95/1.35 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.95/1.35 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.35 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.95/1.35 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.95/1.35 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.95/1.35 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.95/1.35 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.95/1.35 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 0.95/1.35 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.35 , X ) ) ],
% 0.95/1.35 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.95/1.35 ), X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.95/1.35 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.35 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.95/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.95/1.35 , X ), Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.95/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.95/1.35 , X ), Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.95/1.35 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.95/1.35 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.95/1.35 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.95/1.35 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.95/1.35 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.35 , X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.95/1.35 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.35 , X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.35 , X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.35 , X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.95/1.35 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.35 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.35 X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.95/1.35 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.35 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.95/1.35 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.95/1.35 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.95/1.35 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.95/1.35 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.95/1.35 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.95/1.35 ), X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.35 X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 0.95/1.35 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.95/1.35 ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.95/1.35 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 0.95/1.35 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 0.95/1.35 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.95/1.35 ), X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.35 ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 0.95/1.35 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.95/1.35 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.35 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.35 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.95/1.35 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.35 ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.95/1.35 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.35 ) ) ],
% 0.95/1.35 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.95/1.35 'c_Divides_Odiv__class_Odiv'( T, U, X ), X ),
% 0.95/1.35 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), ~(
% 0.95/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( U, T, X ) ), ~(
% 0.95/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.35 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.95/1.35 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.95/1.35 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.95/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.95/1.35 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.95/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.95/1.35 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.95/1.35 ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.95/1.35 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.95/1.35 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.95/1.35 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.95/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.95/1.35 'v_k', 'tc_nat' ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.95/1.35 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 0.95/1.35 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.95/1.35 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.95/1.35 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'(
% 0.95/1.35 Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.95/1.35 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'(
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.95/1.35 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), ~(
% 0.95/1.35 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.95/1.35 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 0.95/1.35 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 0.95/1.35 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.95/1.35 ), X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.95/1.35 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.95/1.35 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.95/1.35 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.95/1.35 ), X ), Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.95/1.35 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.95/1.35 T, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.95/1.35 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.95/1.35 X ), Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.95/1.35 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.95/1.35 T, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.95/1.35 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.95/1.35 X ), T, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.95/1.35 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.95/1.35 T, X ), X ) ) ],
% 0.95/1.35 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.95/1.35 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.95/1.35 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.95/1.35 X ), T, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.95/1.35 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.95/1.35 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.95/1.35 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.95/1.35 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.95/1.35 Y, X ), Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.95/1.35 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( T, Y
% 0.95/1.35 , X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.95/1.35 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( T, Y
% 0.95/1.35 , X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.95/1.35 Y, T, X ), X ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.35 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 0.95/1.35 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.35 X ), T, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 0.95/1.35 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.95/1.35 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oone__class_Oone'(
% 0.95/1.35 'tc_nat' ), 'tc_nat' ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.95/1.35 , X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.95/1.35 , X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.95/1.35 , X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.95/1.35 , X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.95/1.35 , X ), X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.95/1.35 X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.95/1.35 , T, X ), Z ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 0.95/1.35 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.95/1.35 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.95/1.35 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.95/1.35 X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.95/1.35 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.95/1.35 X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.95/1.35 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.95/1.35 X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.95/1.35 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.95/1.35 X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 Y, Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 Y, Z, X ) ) ],
% 0.95/1.35 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ), 'tc_nat' ), ~(
% 0.95/1.35 'c_lessequals'( Y, T, 'tc_nat' ) ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) )
% 0.95/1.35 ],
% 0.95/1.35 [ 'c_lessequals'( X, 'c_HOL_Otimes__class_Otimes'( X,
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.35 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.95/1.35 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.95/1.35 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.35 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.95/1.35 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.95/1.35 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.95/1.35 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.35 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.95/1.35 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.35 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.95/1.35 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.95/1.35 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.95/1.35 'c_Power_Opower__class_Opower'( T, 'c_Suc'( Z ), X ) ) ), =( Y, T ), ~(
% 0.95/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.95/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.95/1.35 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 0.95/1.35 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.95/1.35 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 0.95/1.35 , X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.95/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.95/1.35 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.95/1.35 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.95/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.95/1.35 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.95/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.95/1.35 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.95/1.35 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.95/1.35 , X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.95/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.95/1.35 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.95/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.95/1.35 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 Y, T, X ), Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.95/1.35 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.95/1.35 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 Y, T, X ), Z, X ) ) ],
% 0.95/1.35 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.95/1.35 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.95/1.35 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.95/1.35 [ =( X, 'c_Suc'( Y ) ), 'c_lessequals'( X, Y, 'tc_nat' ), ~(
% 0.95/1.35 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.95/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.95/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.95/1.35 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.95/1.35 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.95/1.35 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.95/1.35 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.95/1.35 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.95/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.95/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, T
% 0.95/1.35 , X ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 0.95/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.95/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.95/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, Z
% 0.95/1.35 , X ), 'c_Divides_Odiv__class_Odiv'( T, Z, X ), X ), ~(
% 0.95/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.95/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ), ~(
% 0.95/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.95/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.95/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.95/1.35 Z, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.95/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.95/1.35 Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.95/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.95/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.95/1.35 , X ), Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.95/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.95/1.35 , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.95/1.35 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.95/1.35 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.95/1.35 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.35 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.95/1.35 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 0.95/1.35 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.95/1.35 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.95/1.35 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.95/1.35 'c_lessequals'( Y, Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.95/1.35 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.35 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.95/1.35 ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.95/1.35 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 0.95/1.35 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.95/1.35 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.95/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' )
% 0.95/1.35 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.95/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' )
% 0.95/1.35 , 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.35 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.95/1.35 X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.35 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.95/1.35 , Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.95/1.35 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.95/1.35 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.95/1.35 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.95/1.35 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.95/1.35 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.95/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.95/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.95/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.95/1.35 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( T, X ), X ) ), ~(
% 0.95/1.35 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.95/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.95/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.95/1.35 ), =( Z, Y ) ],
% 0.95/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.95/1.35 ) ],
% 0.95/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.95/1.35 ) ],
% 0.95/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.95/1.35 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.95/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.95/1.35 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.95/1.35 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 0.95/1.35 , Y, 'tc_nat' ) ) ],
% 0.95/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.95/1.35 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.95/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.95/1.35 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.95/1.35 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.95/1.35 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.95/1.35 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.95/1.35 , X ) ) ), =( Y, Z ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.95/1.35 , X ) ) ), =( Y, Z ) ],
% 0.95/1.35 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.95/1.35 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.95/1.35 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 0.95/1.35 Z, X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.95/1.35 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.95/1.35 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.95/1.35 ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.95/1.35 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.95/1.35 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.35 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.95/1.35 , X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.35 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.95/1.35 , X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 Z, Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.95/1.35 , X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.95/1.35 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 0.95/1.35 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 0.95/1.35 ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.35 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 0.95/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 0.95/1.35 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.95/1.35 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =(
% 0.95/1.35 Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.95/1.35 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.95/1.35 ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 0.95/1.35 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.95/1.35 Z, T, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.95/1.35 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.35 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.35 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.35 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.35 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.35 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 'c_Suc'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), X, 'tc_nat'
% 0.95/1.35 ), 'tc_nat' ) ],
% 0.95/1.35 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.35 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.35 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.95/1.35 X ), 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.35 , X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.95/1.35 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.95/1.35 ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.95/1.35 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.35 X ), 'c_HOL_Oinverse__class_Odivide'( Z,
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Osgn__class_Osgn'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.95/1.35 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.95/1.35 ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.95/1.35 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.95/1.35 ) ],
% 0.95/1.35 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.95/1.35 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.95/1.35 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.95/1.35 ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.95/1.35 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.95/1.35 , T, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.35 , Z, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.95/1.35 , T, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.35 , Z, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.95/1.35 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 0.95/1.35 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.95/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.35 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.35 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.95/1.35 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.35 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 0.95/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), Y ) ],
% 0.95/1.35 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 'c_Suc'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.95/1.35 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.35 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.35 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 0.95/1.35 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 0.95/1.35 ), 'tc_nat' ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.95/1.35 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.95/1.35 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.95/1.35 'c_lessequals'( Y, Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.95/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.95/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.95/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.95/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.95/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.95/1.35 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.95/1.35 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 0.95/1.35 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.35 ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.95/1.35 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.35 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.95/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.95/1.35 , X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.95/1.35 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ),
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), =( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 0.95/1.35 Z, 'tc_nat' ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 0.95/1.35 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.35 X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, T, X ),
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.95/1.35 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.35 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 0.95/1.35 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.95/1.35 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.35 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.95/1.35 ), X ), Z, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.95/1.35 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.35 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' )
% 0.95/1.35 , ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.35 'tc_nat' ) ), X, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.95/1.35 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.35 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.95/1.35 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.35 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.35 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.95/1.35 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.35 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.95/1.35 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.35 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.95/1.35 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.95/1.35 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.35 X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 0.95/1.35 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.95/1.35 , X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.35 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.95/1.35 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.35 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.35 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.95/1.35 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.35 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 0.95/1.35 [ 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X,
% 0.95/1.35 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.35 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ), 'tc_nat' )
% 0.95/1.35 ) ],
% 0.95/1.35 [ 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X,
% 0.95/1.35 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.35 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' )
% 0.95/1.35 ) ],
% 0.95/1.35 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.95/1.35 ), 'tc_nat' ) ) ],
% 0.95/1.35 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.95/1.35 ), 'tc_nat' ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.95/1.35 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.95/1.35 'c_HOL_Oone__class_Oone'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.35 X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z
% 0.95/1.35 ), X ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), X ) ],
% 0.95/1.35 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.95/1.35 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.95/1.35 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.95/1.35 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.95/1.35 [ ~( 'c_lessequals'( X, X, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X,
% 0.95/1.35 'c_Suc'( X ), 'tc_nat' ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.95/1.35 , X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.95/1.35 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.35 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.95/1.35 ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.35 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.95/1.35 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.95/1.35 ) ],
% 0.95/1.35 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.35 'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.95/1.35 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.95/1.35 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.95/1.35 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.35 ,
% 0.95/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.95/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.35 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.95/1.35 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.95/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.95/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.35 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.95/1.35 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.95/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.95/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.35 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.95/1.35 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.95/1.35 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.95/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.35 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.95/1.35 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.95/1.35 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.95/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.95/1.35 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.95/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.95/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.95/1.35 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.95/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 0.95/1.35 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 0.95/1.35 , X ), 'c_Power_Opower__class_Opower'( Y, Z, X ) ), ~(
% 0.95/1.35 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.35 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 0.95/1.35 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.35 X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.95/1.35 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.95/1.35 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.35 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.95/1.35 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.35 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( Z,
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 0.95/1.35 , X ), X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.95/1.35 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.35 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.95/1.35 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 0.95/1.35 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Otimes__class_Otimes'( X, Y
% 0.95/1.35 , 'tc_nat' ), 'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y,
% 0.95/1.35 'tc_nat' ) ) ],
% 0.95/1.35 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Otimes__class_Otimes'( X, Y
% 0.95/1.35 , 'tc_nat' ), 'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X,
% 0.95/1.35 'tc_nat' ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.35 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.95/1.35 , Z, X ), 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.95/1.35 'c_lessequals'( Z, T, 'tc_nat' ) ) ],
% 0.95/1.35 [ =( 'c_Complex_Ocnj'( 'c_Complex_Ocnj'( X ) ), X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.95/1.35 Y, T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X )
% 0.95/1.35 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.95/1.35 'c_lessequals'( T, Z, 'tc_nat' ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.95/1.35 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.95/1.35 ), X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.35 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.95/1.35 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.95/1.35 ), X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.35 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 0.95/1.35 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.95/1.35 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.95/1.35 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.95/1.35 , 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.35 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.35 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.35 ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.35 ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.35 ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.35 ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.95/1.35 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.35 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.35 'c_lessequals'( Z, Y, X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.95/1.35 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.35 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.95/1.35 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.95/1.35 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.35 'c_lessequals'( Z, Y, X ) ) ],
% 0.95/1.35 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) ) ), =( Y,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 0.95/1.35 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( X,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 0.95/1.35 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.95/1.35 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( Y, Z ), =( X,
% 0.95/1.35 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.35 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.35 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.35 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.36 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.95/1.36 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.36 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.95/1.36 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.36 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.95/1.36 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.95/1.36 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.95/1.36 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.95/1.36 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.95/1.36 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'(
% 0.95/1.36 Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.95/1.36 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Z, Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.95/1.36 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.95/1.36 , X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.95/1.36 ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.95/1.36 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.95/1.36 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.95/1.36 , X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.95/1.36 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.95/1.36 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.95/1.36 ), X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.95/1.36 ), X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.95/1.36 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.95/1.36 ), X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.95/1.36 ), X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.95/1.36 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.95/1.36 ), X ) ) ],
% 0.95/1.36 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( 'tc_nat' )
% 0.95/1.36 , X, 'tc_nat' ), X ) ],
% 0.95/1.36 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 0.95/1.36 ), 'tc_nat' ), X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.95/1.36 , Y, X ), X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.95/1.36 , Z, X ), X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.95/1.36 , Z, X ), X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.95/1.36 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.95/1.36 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'(
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_Int_Onumber__class_Onumber__of'( Y, X
% 0.95/1.36 ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.36 ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 0.95/1.36 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.95/1.36 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.36 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.95/1.36 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.36 ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.36 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.95/1.36 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.95/1.36 'tc_nat' ) ],
% 0.95/1.36 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.95/1.36 'tc_nat' ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.95/1.36 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.36 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.95/1.36 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.36 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.36 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.95/1.36 [ =( 'c_Complex_Ocnj'( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex'
% 0.95/1.36 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.95/1.36 ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.95/1.36 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.95/1.36 Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.95/1.36 'c_Suc'( Z ), X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.95/1.36 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.95/1.36 ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.95/1.36 , Y, X ) ) ],
% 0.95/1.36 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.95/1.36 , Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.95/1.36 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.95/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.95/1.36 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.95/1.36 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.95/1.36 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_Suc'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( 'c_Suc'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), X, 'tc_nat' ) ), 'tc_nat' ) )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.95/1.36 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.95/1.36 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.95/1.36 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.95/1.36 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.95/1.36 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.95/1.36 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.95/1.36 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.95/1.36 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.95/1.36 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.95/1.36 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.95/1.36 ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.95/1.36 ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.95/1.36 ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.95/1.36 ), X ) ) ],
% 0.95/1.36 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.95/1.36 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 0.95/1.36 'tc_nat' ) ) ],
% 0.95/1.36 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.95/1.36 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( Y, 'c_HOL_Oone__class_Oone'(
% 0.95/1.36 'tc_nat' ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.95/1.36 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.95/1.36 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.95/1.36 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.95/1.36 'tc_nat' ) ), =( Y, Z ) ],
% 0.95/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.95/1.36 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X
% 0.95/1.36 , Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat'
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.95/1.36 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.95/1.36 , X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ), 'tc_nat'
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.95/1.36 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), =( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'(
% 0.95/1.36 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.36 ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.36 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.95/1.36 , T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.36 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.36 , Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.95/1.36 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.36 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 X ), T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.95/1.36 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.36 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.95/1.36 'c_lessequals'( Y, Z, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.95/1.36 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.95/1.36 'tc_nat' ) ) ],
% 0.95/1.36 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.95/1.36 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.95/1.36 [ =( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 0.95/1.36 , 'c_Suc'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat'
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 0.95/1.36 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.95/1.36 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.36 Y, Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.95/1.36 ), X ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.95/1.36 ), X ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.95/1.36 'class_OrderedGroup_Omonoid__mult'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.95/1.36 ), X ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.95/1.36 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.95/1.36 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.95/1.36 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.95/1.36 , Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.95/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.95/1.36 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 , Z, X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.95/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.95/1.36 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.95/1.36 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 , Z, X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.95/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.95/1.36 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.95/1.36 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 0.95/1.36 ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.95/1.36 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.95/1.36 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 0.95/1.36 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 0.95/1.36 ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.95/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.95/1.36 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 , T, X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.95/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.95/1.36 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 , T, X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.95/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.95/1.36 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.95/1.36 Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.95/1.36 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ), =( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.95/1.36 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.95/1.36 , T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.36 ), T, X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.95/1.36 , T, X ), Z, X ) ) ],
% 0.95/1.36 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_Suc'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.95/1.36 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.36 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.95/1.36 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.95/1.36 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.95/1.36 , 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.95/1.36 , T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.95/1.36 , T, X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.95/1.36 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.95/1.36 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.95/1.36 , X ) ) ],
% 0.95/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.95/1.36 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_nat' ), 'tc_nat' ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.36 'c_Power_Opower__class_Opower'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.95/1.36 T, X ), 'c_Divides_Odiv__class_Odiv'( 'c_Power_Opower__class_Opower'( Y,
% 0.95/1.36 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ), ~(
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.95/1.36 , X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.95/1.36 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.95/1.36 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 0.95/1.36 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.95/1.36 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.95/1.36 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.95/1.36 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 0.95/1.36 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.95/1.36 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.95/1.36 [ ~( =( X, 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ), =( X,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, 'c_HOL_Oone__class_Oone'(
% 0.95/1.36 'tc_nat' ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 , X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.95/1.36 , Z, X ), Z, X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.36 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 0.95/1.36 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 0.95/1.36 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat'
% 0.95/1.36 ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.95/1.36 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.95/1.36 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.36 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.95/1.36 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'(
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ),
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.95/1.36 ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Int_Oiszero'( Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 0.95/1.36 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.95/1.36 Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.95/1.36 Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.95/1.36 ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.95/1.36 ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.95/1.36 , Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.95/1.36 , X ) ) ],
% 0.95/1.36 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.95/1.36 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.95/1.36 , Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.95/1.36 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'(
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.36 ), X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.95/1.36 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.95/1.36 'tc_nat' ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.95/1.36 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.95/1.36 'tc_nat' ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.95/1.36 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.95/1.36 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.95/1.36 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.95/1.36 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.95/1.36 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.95/1.36 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.95/1.36 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.95/1.36 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.36 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_Power_Opower__class_Opower'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.36 ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.95/1.36 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.95/1.36 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.95/1.36 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.95/1.36 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.95/1.36 ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( T ), X ),
% 0.95/1.36 'c_Power_Opower__class_Opower'( Z, 'c_Suc'( T ), X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.95/1.36 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( =( 'c_Complex_Ocnj'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_Complex_Ocomplex' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_Complex_Ocomplex' ) ) ],
% 0.95/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.95/1.36 'c_Suc'( X ), 'tc_nat' ) ],
% 0.95/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.95/1.36 'c_Suc'( X ), 'tc_nat' ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.95/1.36 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.95/1.36 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.95/1.36 , Y, X ) ) ],
% 0.95/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.95/1.36 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ) )
% 0.95/1.36 ],
% 0.95/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.95/1.36 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ), 'tc_nat' ) )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.95/1.36 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.95/1.36 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.95/1.36 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.95/1.36 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.95/1.36 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.95/1.36 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.95/1.36 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 , X ) ) ],
% 0.95/1.36 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), T
% 0.95/1.36 , X ), 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.95/1.36 X ), Z, X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), X
% 0.95/1.36 , 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), Y, 'tc_nat' ),
% 0.95/1.36 'tc_nat' ) ) ],
% 0.95/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X )
% 0.95/1.36 , Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat'
% 0.95/1.36 ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.95/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 0.95/1.36 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.95/1.36 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_lessequals'( Y, X,
% 0.95/1.36 'tc_nat' ) ],
% 0.95/1.36 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Suc'( Y )
% 0.95/1.36 , X, 'tc_nat' ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.95/1.36 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.95/1.36 , 'c_Power_Opower__class_Opower'( Y, Z, X ) ), ~(
% 0.95/1.36 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 0.95/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.95/1.36 'tc_nat' ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.95/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.95/1.36 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.95/1.36 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.95/1.36 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.95/1.36 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 T, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.95/1.36 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.36 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.95/1.36 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.95/1.36 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), X, 'tc_nat' ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), Y, 'tc_nat' ), 'tc_nat' ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y,
% 0.95/1.36 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat' ),
% 0.95/1.36 'tc_nat' ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.95/1.36 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.95/1.36 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.95/1.36 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.95/1.36 T, Z, X ) ) ), =( Y, T ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.95/1.36 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.95/1.36 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.95/1.36 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~(
% 0.95/1.36 'c_Parity_Oeven__odd__class_Oeven'( 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.95/1.36 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_Suc'( X ), 'tc_nat' ),
% 0.95/1.36 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.95/1.36 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.95/1.36 ), X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( T, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.95/1.36 , X ), X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.95/1.36 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.95/1.36 ), X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.95/1.36 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.36 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 0.95/1.36 , X ), X ), Z, X ) ) ],
% 0.95/1.36 [ 'c_lessequals'( X, 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_nat' ),
% 0.95/1.36 'tc_nat' ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.95/1.36 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 Y, T, X ), Z, X ) ) ],
% 0.95/1.36 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( 'tc_nat' )
% 0.95/1.36 , 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ),
% 0.95/1.36 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 0.95/1.36 , X ), Z ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 0.95/1.36 , X ), Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.95/1.36 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.36 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 X ), T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.36 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.95/1.36 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.95/1.36 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.95/1.36 'tc_nat' ) ) ],
% 0.95/1.36 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' )
% 0.95/1.36 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.95/1.36 'tc_nat' ) ) ],
% 0.95/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.95/1.36 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.95/1.36 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.95/1.36 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.95/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.95/1.36 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.95/1.36 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.95/1.36 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.95/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.95/1.36 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.95/1.36 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.95/1.36 'tc_nat' ) ) ],
% 0.95/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.95/1.36 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.95/1.36 ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.95/1.36 'tc_nat' ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.95/1.36 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.95/1.36 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.95/1.36 ), Y ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.95/1.36 ), Y ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.95/1.36 ), Y ) ],
% 0.95/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.95/1.36 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.95/1.36 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.95/1.36 , X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.95/1.36 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.95/1.36 , X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.95/1.36 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.95/1.36 , X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.95/1.36 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.95/1.36 , X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.95/1.36 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.95/1.36 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 0.95/1.36 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.95/1.36 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 0.95/1.36 [ ~( =( 'c_Complex_Ocnj'( X ), 'c_Complex_Ocnj'( Y ) ) ), =( X, Y ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.95/1.36 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.95/1.36 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 0.95/1.36 , X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.95/1.36 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.95/1.36 ), X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.95/1.36 Y, X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.95/1.36 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.95/1.36 X ), X ) ) ],
% 0.95/1.36 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 0.95/1.36 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 0.95/1.36 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Power_Opower__class_Opower'( Y
% 0.95/1.36 , Z, X ), X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.95/1.36 , Z, X ), 'c_Power_Opower__class_Opower'( T, U, X ), X ), ~(
% 0.95/1.36 'c_lessequals'( Z, U, 'tc_nat' ) ), ~(
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.95/1.36 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y,
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 0.95/1.36 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ), ~( 'c_lessequals'( X, Y,
% 0.95/1.36 'tc_nat' ) ) ],
% 0.95/1.36 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ), Y,
% 0.95/1.36 'tc_nat' ) ) ],
% 0.95/1.36 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.95/1.36 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.95/1.36 ) ), X, 'tc_nat' ) ) ],
% 0.95/1.36 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Otimes__class_Otimes'( Y, X,
% 0.95/1.36 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.95/1.36 ) ), X, 'tc_nat' ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.95/1.36 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 0.95/1.36 Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'c_lessequals'( 'c_Suc'( X ), X, 'tc_nat' ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'c_Int_Oiszero'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.95/1.36 [ ~( =( 'c_Complex_Oii', 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_Complex_Ocomplex' ) ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.95/1.36 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.95/1.36 ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.95/1.36 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.36 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.36 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.36 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.95/1.36 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.95/1.36 ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.95/1.36 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.95/1.36 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.36 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.95/1.36 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.95/1.36 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.95/1.36 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 0.95/1.36 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.95/1.36 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.95/1.36 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 0.95/1.36 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.95/1.36 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.95/1.36 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.95/1.36 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Power_Opower__class_Opower'(
% 0.95/1.36 Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.95/1.36 [ 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.95/1.36 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y,
% 0.95/1.36 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_nat' ) ), X, 'tc_nat' ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.95/1.36 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.95/1.36 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' )
% 0.95/1.36 ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.95/1.36 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.95/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.95/1.36 , X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.95/1.36 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.95/1.36 , X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.95/1.36 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.95/1.36 , Z, X ), T, X ), ~( 'c_lessequals'( Z, U, 'tc_nat' ) ), ~(
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.95/1.36 , U, X ), T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.95/1.36 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.95/1.36 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.95/1.36 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.95/1.36 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ),
% 0.95/1.36 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 0.95/1.36 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Otimes__class_Otimes'( Y, X,
% 0.95/1.36 'tc_nat' ), 'tc_nat' ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.95/1.36 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.95/1.36 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.95/1.36 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 0.95/1.36 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 0.95/1.36 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.95/1.36 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.95/1.36 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.95/1.36 ), X ), Z, X ) ) ],
% 0.95/1.36 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.95/1.36 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.36 , Y, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.95/1.36 , T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.95/1.36 , T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.36 , Y, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.36 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Z, Y, X
% 0.95/1.36 ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.95/1.36 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 0.95/1.36 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.95/1.36 ), X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.95/1.36 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 0.95/1.36 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.95/1.36 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.95/1.36 ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.95/1.36 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.95/1.36 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.95/1.36 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.95/1.36 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.95/1.36 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.95/1.36 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.95/1.36 ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.95/1.36 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.95/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 0.95/1.36 Y, X ), X ) ],
% 0.95/1.36 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.95/1.36 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.95/1.36 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ),
% 0.95/1.36 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.95/1.36 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 0.95/1.36 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ), =( Y,
% 0.95/1.36 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 0.95/1.36 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ), =( X,
% 0.95/1.36 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.95/1.36 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.95/1.36 'c_lessequals'( Z, Y, X ) ],
% 0.95/1.36 [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 'tc_nat' ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.95/1.36 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.95/1.36 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.95/1.36 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.95/1.36 [ ~( =( 'c_FFT__Mirabelle_Oroot'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 'tc_Complex_Ocomplex' ) ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.95/1.36 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T,
% 0.95/1.36 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'(
% 0.95/1.36 'c_Power_Opower__class_Opower'( Y, Z, X ), T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), ~( 'c_Int_Oiszero'(
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.95/1.36 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.95/1.36 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.95/1.36 X ), T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.95/1.36 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.95/1.36 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.95/1.36 X ), T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 'class_Int_Onumber'( X )
% 0.95/1.36 ), =( 'c_HOL_Oinverse__class_Oinverse'(
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 0.95/1.36 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 0.95/1.36 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ),
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ) ),
% 0.95/1.36 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.95/1.36 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.95/1.36 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 0.95/1.36 ), Y, X ) ), =( Z, T ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.95/1.36 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.95/1.36 X ) ) ],
% 0.95/1.36 [ =( 'c_Complex_Ocnj'( 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' )
% 0.95/1.36 ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.95/1.36 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.95/1.36 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.95/1.36 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.95/1.36 X ), Y ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.95/1.36 X ), Y ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.95/1.36 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.95/1.36 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 0.95/1.36 Y, Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 0.95/1.36 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 0.95/1.36 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 0.95/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 0.95/1.36 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.95/1.36 [ ~( =( 'c_Complex_Oii', 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 0.95/1.36 ) ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.95/1.36 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.95/1.36 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.95/1.36 X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.95/1.36 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.95/1.36 Y, T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X )
% 0.95/1.36 ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.95/1.36 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.95/1.36 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.95/1.36 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 0.95/1.36 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.95/1.36 ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 0.95/1.36 ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.95/1.36 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.95/1.36 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.95/1.36 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.95/1.36 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.95/1.36 Y, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.95/1.36 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.95/1.36 Y, X ), Z, X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.95/1.36 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.95/1.36 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.95/1.36 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.95/1.36 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.95/1.36 ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.95/1.36 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.95/1.36 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.95/1.36 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.95/1.36 , Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.95/1.36 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 0.95/1.36 X ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.95/1.36 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.95/1.36 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.95/1.36 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.95/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.95/1.36 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.95/1.36 , Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.95/1.36 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.36 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.95/1.36 Z, T, X ), X ) ) ],
% 0.95/1.36 [ =( 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( X ), X,
% 0.95/1.36 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.95/1.36 [ =( 'c_Complex_Ocnj'( 'c_HOL_Oinverse__class_Oinverse'( X,
% 0.95/1.36 'tc_Complex_Ocomplex' ) ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.95/1.36 'c_Complex_Ocnj'( X ), 'tc_Complex_Ocomplex' ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ),
% 0.95/1.36 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.95/1.36 ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.95/1.36 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.95/1.36 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 0.95/1.36 , X ) ) ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.95/1.36 ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 0.95/1.36 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.95/1.36 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 0.95/1.36 [ =( 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'(
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ),
% 0.95/1.36 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_Complex_Ocomplex' ),
% 0.95/1.36 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( Y ), Z,
% 0.95/1.36 'tc_Complex_Ocomplex' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.95/1.36 ), X ), Y ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.95/1.36 'c_Power_Opower__class_Opower'( 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.95/1.36 , T, X ), 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.95/1.36 Z, T, 'tc_nat' ), X ) ) ],
% 0.95/1.36 [ 'c_HOL_Oord__class_Oless'( 'v_k', 'v_n', 'tc_nat' ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 0.95/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.95/1.36 X ) ) ],
% 0.95/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.95/1.36 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.95/1.36 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.95/1.36 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.95/1.36 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.95/1.36 , Z, X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.95/1.36 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.95/1.36 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.95/1.36 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.95/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.95/1.36 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.95/1.36 ],
% 0.95/1.36 [ =( 'c_Complex_Ocnj'( 'c_Power_Opower__class_Opower'( X, Y,
% 0.95/1.36 'tc_Complex_Ocomplex' ) ), 'c_Power_Opower__class_Opower'(
% 0.95/1.36 'c_Complex_Ocnj'( X ), Y, 'tc_Complex_Ocomplex' ) ) ],
% 0.95/1.36 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.95/1.36 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.95/1.36 ],
% 0.95/1.36 [ =( 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.95/1.36 'c_FFT__Mirabelle_Oroot'( 'v_n' ), 'tc_Complex_Ocomplex' ), 'v_k',
% 0.95/1.36 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 0.95/1.36 ) ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.95/1.36 ],
% 0.95/1.36 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.95/1.36 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 0.95/1.36 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.95/1.36 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.95/1.36 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.95/1.36 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.95/1.36 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.95/1.36 'tc_Int_Oint' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 0.95/1.36 ],
% 0.95/1.36 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 0.95/1.36 ],
% 0.95/1.36 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 0.95/1.36 ,
% 0.95/1.36 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_Int_Oint' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_Int_Oint' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 0.95/1.36 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Osgn__if'( 'tc_Int_Oint' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Oring__1'( 'tc_Int_Oint' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Oabs__if'( 'tc_Int_Oint' ) ],
% 0.95/1.36 [ 'class_Divides_Osemiring__div'( 'tc_Int_Oint' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Odvd'( 'tc_Int_Oint' ) ],
% 0.95/1.36 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 0.95/1.36 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 0.95/1.36 [ 'class_Divides_Oring__div'( 'tc_Int_Oint' ) ],
% 0.95/1.36 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 0.95/1.36 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 0.95/1.36 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 0.95/1.36 [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 0.95/1.36 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.95/1.36 'tc_Complex_Ocomplex' ) ],
% 0.95/1.36 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.95/1.36 'tc_Complex_Ocomplex' ) ],
% 0.95/1.36 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 1.01/1.36 ) ],
% 1.01/1.36 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 1.01/1.36 ],
% 1.01/1.36 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.01/1.36 ],
% 1.01/1.36 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.01/1.36 ],
% 1.01/1.36 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.36 ,
% 1.01/1.36 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.36 ,
% 1.01/1.36 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.36 ,
% 1.01/1.36 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.36 ,
% 1.01/1.36 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.36 ,
% 1.01/1.36 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.36 ,
% 1.01/1.36 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.36 ,
% 1.01/1.36 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.36 ,
% 1.01/1.36 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.36 ,
% 1.01/1.36 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.36 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.36 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.36 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.36 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.36 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.36 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.36 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.36 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.36 [ 'class_Ring__and__Field_Odvd'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.36 [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.36 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.36 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.36 [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.36 ] .
% 1.01/1.36
% 1.01/1.36
% 1.01/1.36 percentage equality = 0.150936, percentage horn = 0.778052
% 1.01/1.36 This is a problem with some equality
% 1.01/1.36
% 1.01/1.36
% 1.01/1.36
% 1.01/1.36 Options Used:
% 1.01/1.36
% 1.01/1.36 useres = 1
% 1.01/1.36 useparamod = 1
% 1.01/1.36 useeqrefl = 1
% 1.01/1.36 useeqfact = 1
% 1.01/1.36 usefactor = 1
% 1.01/1.36 usesimpsplitting = 0
% 1.01/1.36 usesimpdemod = 5
% 1.01/1.36 usesimpres = 3
% 1.01/1.36
% 1.01/1.36 resimpinuse = 1000
% 1.01/1.36 resimpclauses = 20000
% 1.01/1.36 substype = eqrewr
% 1.01/1.36 backwardsubs = 1
% 1.01/1.36 selectoldest = 5
% 1.01/1.36
% 1.01/1.36 litorderings [0] = split
% 1.01/1.36 litorderings [1] = extend the termordering, first sorting on arguments
% 1.01/1.36
% 1.01/1.36 termordering = kbo
% 1.01/1.36
% 1.01/1.36 litapriori = 0
% 1.01/1.36 termapriori = 1
% 1.01/1.36 litaposteriori = 0
% 1.01/1.36 termaposteriori = 0
% 1.01/1.36 demodaposteriori = 0
% 1.01/1.36 ordereqreflfact = 0
% 1.01/1.36
% 1.01/1.36 litselect = negord
% 1.01/1.36
% 1.01/1.36 maxweight = 15
% 1.01/1.36 maxdepth = 30000
% 1.01/1.36 maxlength = 115
% 1.01/1.36 maxnrvars = 195
% 1.01/1.36 excuselevel = 1
% 1.01/1.36 increasemaxweight = 1
% 1.01/1.36
% 1.01/1.36 maxselected = 10000000
% 1.01/1.36 maxnrclauses = 10000000
% 1.01/1.36
% 1.01/1.36 showgenerated = 0
% 1.01/1.36 showkept = 0
% 1.01/1.36 showselected = 0
% 1.01/1.36 showdeleted = 0
% 1.01/1.36 showresimp = 1
% 1.01/1.36 showstatus = 2000
% 1.01/1.36
% 1.01/1.36 prologoutput = 1
% 1.01/1.36 nrgoals = 5000000
% 1.01/1.36 totalproof = 1
% 1.01/1.36
% 1.01/1.36 Symbols occurring in the translation:
% 1.01/1.36
% 1.01/1.36 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.01/1.36 . [1, 2] (w:1, o:108, a:1, s:1, b:0),
% 2.12/2.52 ! [4, 1] (w:0, o:41, a:1, s:1, b:0),
% 2.12/2.52 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.12/2.52 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.12/2.52 'class_Orderings_Oorder' [40, 1] (w:1, o:46, a:1, s:1, b:0),
% 2.12/2.52 'c_HOL_Oord__class_Oless' [43, 3] (w:1, o:140, a:1, s:1, b:0),
% 2.12/2.52 'c_lessequals' [44, 3] (w:1, o:141, a:1, s:1, b:0),
% 2.12/2.52 'tc_nat' [47, 0] (w:1, o:17, a:1, s:1, b:0),
% 2.12/2.52 'class_Ring__and__Field_Oordered__field' [50, 1] (w:1, o:50, a:1, s:1
% 2.12/2.52 , b:0),
% 2.12/2.52 'class_Ring__and__Field_Odivision__by__zero' [51, 1] (w:1, o:53, a:1
% 2.12/2.52 , s:1, b:0),
% 2.12/2.52 'class_Int_Onumber' [52, 1] (w:1, o:54, a:1, s:1, b:0),
% 2.12/2.52 'c_Int_Onumber__class_Onumber__of' [54, 2] (w:1, o:137, a:1, s:1, b:0
% 2.12/2.52 ),
% 2.12/2.52 'c_HOL_Oinverse__class_Odivide' [56, 3] (w:1, o:142, a:1, s:1, b:0),
% 2.12/2.52
% 2.12/2.52 'c_HOL_Ozero__class_Ozero' [57, 1] (w:1, o:55, a:1, s:1, b:0),
% 2.12/2.52 'c_HOL_Otimes__class_Otimes' [58, 3] (w:1, o:143, a:1, s:1, b:0),
% 2.12/2.52 'c_Suc' [60, 1] (w:1, o:56, a:1, s:1, b:0),
% 2.12/2.52 'class_Ring__and__Field_Oordered__idom' [61, 1] (w:1, o:57, a:1, s:1
% 2.12/2.52 , b:0),
% 2.12/2.52 'c_Power_Opower__class_Opower' [62, 3] (w:1, o:144, a:1, s:1, b:0),
% 2.12/2.52 'c_Parity_Oeven__odd__class_Oeven' [63, 2] (w:1, o:138, a:1, s:1, b:0
% 2.12/2.52 ),
% 2.12/2.52 'class_Ring__and__Field_Oordered__semiring__strict' [66, 1] (w:1, o:
% 2.12/2.52 59, a:1, s:1, b:0),
% 2.12/2.52 'class_OrderedGroup_Oab__semigroup__idem__mult' [68, 1] (w:1, o:60
% 2.12/2.52 , a:1, s:1, b:0),
% 2.12/2.52 'class_Ring__and__Field_Opordered__ring' [70, 1] (w:1, o:64, a:1, s:1
% 2.12/2.52 , b:0),
% 2.12/2.52 'class_Ring__and__Field_Omult__mono' [71, 1] (w:1, o:65, a:1, s:1, b:
% 2.12/2.52 0),
% 2.12/2.52 'class_Ring__and__Field_Omult__mono1' [72, 1] (w:1, o:66, a:1, s:1
% 2.12/2.52 , b:0),
% 2.12/2.52 'c_HOL_Oinverse__class_Oinverse' [73, 2] (w:1, o:133, a:1, s:1, b:0)
% 2.12/2.52 ,
% 2.12/2.52 'class_Ring__and__Field_Ocomm__semiring__1' [74, 1] (w:1, o:52, a:1
% 2.12/2.52 , s:1, b:0),
% 2.12/2.52 'c_Ring__and__Field_Odvd__class_Odvd' [75, 3] (w:1, o:145, a:1, s:1
% 2.12/2.52 , b:0),
% 2.12/2.52 'class_OrderedGroup_Opordered__ab__group__add__abs' [76, 1] (w:1, o:
% 2.12/2.52 68, a:1, s:1, b:0),
% 2.12/2.52 'c_HOL_Ouminus__class_Ouminus' [77, 2] (w:1, o:134, a:1, s:1, b:0),
% 2.12/2.52 'c_HOL_Oabs__class_Oabs' [78, 2] (w:1, o:135, a:1, s:1, b:0),
% 2.12/2.52 'class_Ring__and__Field_Oordered__ring__strict' [79, 1] (w:1, o:58
% 2.12/2.52 , a:1, s:1, b:0),
% 2.12/2.52 'class_Divides_Osemiring__div' [80, 1] (w:1, o:70, a:1, s:1, b:0),
% 2.12/2.52 'c_Divides_Odiv__class_Odiv' [81, 3] (w:1, o:146, a:1, s:1, b:0),
% 2.12/2.52 'class_Ring__and__Field_Osemiring__0' [82, 1] (w:1, o:75, a:1, s:1
% 2.12/2.52 , b:0),
% 2.12/2.52 'class_Power_Opower' [83, 1] (w:1, o:85, a:1, s:1, b:0),
% 2.12/2.52 'class_Ring__and__Field_Ozero__neq__one' [84, 1] (w:1, o:86, a:1, s:1
% 2.12/2.52 , b:0),
% 2.12/2.52 'class_Ring__and__Field_Ono__zero__divisors' [85, 1] (w:1, o:49, a:1
% 2.12/2.52 , s:1, b:0),
% 2.12/2.52 'class_Ring__and__Field_Omult__zero' [86, 1] (w:1, o:48, a:1, s:1, b:
% 2.12/2.52 0),
% 2.12/2.52 'class_OrderedGroup_Opordered__ab__group__add' [87, 1] (w:1, o:76, a:
% 2.12/2.52 1, s:1, b:0),
% 2.12/2.52 'class_Ring__and__Field_Ofield' [88, 1] (w:1, o:87, a:1, s:1, b:0),
% 2.12/2.52 'class_Orderings_Olinorder' [89, 1] (w:1, o:77, a:1, s:1, b:0),
% 2.12/2.52 'class_Ring__and__Field_Opordered__cancel__semiring' [90, 1] (w:1, o:
% 2.12/2.52 88, a:1, s:1, b:0),
% 2.12/2.52 'v_k' [91, 0] (w:1, o:29, a:1, s:1, b:0),
% 2.12/2.52 'c_HOL_Oone__class_Oone' [92, 1] (w:1, o:89, a:1, s:1, b:0),
% 2.12/2.52 'class_Int_Onumber__ring' [93, 1] (w:1, o:90, a:1, s:1, b:0),
% 2.12/2.52 'class_Divides_Oring__div' [94, 1] (w:1, o:69, a:1, s:1, b:0),
% 2.12/2.52 'class_OrderedGroup_Oab__semigroup__mult' [95, 1] (w:1, o:78, a:1, s:
% 2.12/2.52 1, b:0),
% 2.12/2.52 'class_Ring__and__Field_Oordered__semidom' [100, 1] (w:1, o:61, a:1
% 2.12/2.52 , s:1, b:0),
% 2.12/2.52 'class_OrderedGroup_Oordered__ab__group__add' [101, 1] (w:1, o:67, a:
% 2.12/2.52 1, s:1, b:0),
% 2.12/2.52 'class_RealVector_Oreal__normed__algebra' [102, 1] (w:1, o:91, a:1
% 2.12/2.52 , s:1, b:0),
% 2.12/2.52 'class_Ring__and__Field_Oidom' [104, 1] (w:1, o:92, a:1, s:1, b:0),
% 2.12/2.52 'class_Ring__and__Field_Oring' [105, 1] (w:1, o:71, a:1, s:1, b:0),
% 2.12/2.52 'class_Ring__and__Field_Opordered__semiring' [107, 1] (w:1, o:94, a:1
% 2.12/2.52 , s:1, b:0),
% 2.12/2.52 'c_HOL_Osgn__class_Osgn' [108, 2] (w:1, o:136, a:1, s:1, b:0),
% 20.72/21.06 'class_Ring__and__Field_Ocomm__ring__1' [109, 1] (w:1, o:51, a:1, s:1
% 20.72/21.06 , b:0),
% 20.72/21.06 'class_RealVector_Oreal__normed__vector' [110, 1] (w:1, o:95, a:1, s:
% 20.72/21.06 1, b:0),
% 20.72/21.06 'class_Ring__and__Field_Opordered__ring__abs' [111, 1] (w:1, o:93, a:
% 20.72/21.06 1, s:1, b:0),
% 20.72/21.06 'class_Lattices_Oboolean__algebra' [112, 1] (w:1, o:96, a:1, s:1, b:0
% 20.72/21.06 ),
% 20.72/21.06 'class_OrderedGroup_Ogroup__add' [113, 1] (w:1, o:79, a:1, s:1, b:0)
% 20.72/21.06 ,
% 20.72/21.06 'class_Ring__and__Field_Osgn__if' [114, 1] (w:1, o:97, a:1, s:1, b:0)
% 20.72/21.06 ,
% 20.72/21.06 'class_Ring__and__Field_Oring__no__zero__divisors' [115, 1] (w:1, o:
% 20.72/21.06 72, a:1, s:1, b:0),
% 20.72/21.06 'class_Ring__and__Field_Oabs__if' [116, 1] (w:1, o:98, a:1, s:1, b:0)
% 20.72/21.06 ,
% 20.72/21.06 'class_OrderedGroup_Olordered__ab__group__add__abs' [117, 1] (w:1, o:
% 20.72/21.06 80, a:1, s:1, b:0),
% 20.72/21.06 'class_Ring__and__Field_Oordered__semiring' [118, 1] (w:1, o:62, a:1
% 20.72/21.06 , s:1, b:0),
% 20.72/21.06 'class_Ring__and__Field_Odivision__ring' [119, 1] (w:1, o:99, a:1, s:
% 20.72/21.06 1, b:0),
% 20.72/21.06 'class_OrderedGroup_Olordered__ab__group__add' [120, 1] (w:1, o:81
% 20.72/21.06 , a:1, s:1, b:0),
% 20.72/21.06 'c_Complex_Ocnj' [122, 1] (w:1, o:100, a:1, s:1, b:0),
% 20.72/21.06 'class_Ring__and__Field_Olordered__ring' [124, 1] (w:1, o:47, a:1, s:
% 20.72/21.06 1, b:0),
% 20.72/21.06 'class_Ring__and__Field_Odvd' [125, 1] (w:1, o:101, a:1, s:1, b:0),
% 20.72/21.06 'tc_Complex_Ocomplex' [126, 0] (w:1, o:36, a:1, s:1, b:0),
% 20.72/21.06 'class_OrderedGroup_Omonoid__mult' [127, 1] (w:1, o:82, a:1, s:1, b:0
% 20.72/21.06 ),
% 20.72/21.06 'class_Orderings_Opreorder' [129, 1] (w:1, o:83, a:1, s:1, b:0),
% 20.72/21.06 'class_Int_Oring__char__0' [130, 1] (w:1, o:102, a:1, s:1, b:0),
% 20.72/21.06 'class_RealVector_Oreal__normed__field' [131, 1] (w:1, o:103, a:1, s:
% 20.72/21.06 1, b:0),
% 20.72/21.06 'class_Ring__and__Field_Osemiring__1' [133, 1] (w:1, o:104, a:1, s:1
% 20.72/21.06 , b:0),
% 20.72/21.06 'c_Int_Oiszero' [134, 2] (w:1, o:139, a:1, s:1, b:0),
% 20.72/21.06 'class_Ring__and__Field_Oordered__comm__semiring__strict' [135, 1]
% 20.72/21.06 (w:1, o:63, a:1, s:1, b:0),
% 20.72/21.06 'c_Complex_Oii' [137, 0] (w:1, o:38, a:1, s:1, b:0),
% 20.72/21.06 'class_RealVector_Oreal__normed__div__algebra' [138, 1] (w:1, o:105
% 20.72/21.06 , a:1, s:1, b:0),
% 20.72/21.06 'c_FFT__Mirabelle_Oroot' [139, 1] (w:1, o:106, a:1, s:1, b:0),
% 20.72/21.06 'class_Ring__and__Field_Oring__1' [140, 1] (w:1, o:73, a:1, s:1, b:0)
% 20.72/21.06 ,
% 20.72/21.06 'class_OrderedGroup_Ocomm__monoid__mult' [141, 1] (w:1, o:84, a:1, s:
% 20.72/21.06 1, b:0),
% 20.72/21.06 'class_Ring__and__Field_Oring__1__no__zero__divisors' [142, 1] (w:1
% 20.72/21.06 , o:74, a:1, s:1, b:0),
% 20.72/21.06 'v_n' [144, 0] (w:1, o:39, a:1, s:1, b:0),
% 20.72/21.06 'class_RealVector_Oreal__normed__algebra__1' [145, 1] (w:1, o:107, a:
% 20.72/21.06 1, s:1, b:0),
% 20.72/21.06 'tc_Int_Oint' [146, 0] (w:1, o:40, a:1, s:1, b:0).
% 20.72/21.06
% 20.72/21.06
% 20.72/21.06 Starting Search:
% 20.72/21.06
% 20.72/21.06 Resimplifying inuse:
% 20.72/21.06 Done
% 20.72/21.06
% 20.72/21.06
% 20.72/21.06 Intermediate Status:
% 20.72/21.06 Generated: 3453
% 20.72/21.06 Kept: 2024
% 20.72/21.06 Inuse: 120
% 20.72/21.06 Deleted: 6
% 20.72/21.06 Deletedinuse: 0
% 20.72/21.06
% 20.72/21.06 Resimplifying inuse:
% 20.72/21.06 Done
% 20.72/21.06
% 20.72/21.06 Resimplifying inuse:
% 20.72/21.06 Done
% 20.72/21.06
% 20.72/21.06
% 20.72/21.06 Intermediate Status:
% 20.72/21.06 Generated: 9996
% 20.72/21.06 Kept: 4197
% 20.72/21.06 Inuse: 226
% 20.72/21.06 Deleted: 10
% 20.72/21.06 Deletedinuse: 1
% 20.72/21.06
% 20.72/21.06 Resimplifying inuse:
% 20.72/21.06 Done
% 20.72/21.06
% 20.72/21.06 Resimplifying inuse:
% 20.72/21.06 Done
% 20.72/21.06
% 20.72/21.06
% 20.72/21.06 Intermediate Status:
% 20.72/21.06 Generated: 16869
% 20.72/21.06 Kept: 6315
% 20.72/21.06 Inuse: 296
% 20.72/21.06 Deleted: 16
% 20.72/21.06 Deletedinuse: 1
% 20.72/21.06
% 20.72/21.06 Resimplifying inuse:
% 20.72/21.06 Done
% 20.72/21.06
% 20.72/21.06 Resimplifying inuse:
% 20.72/21.06 Done
% 20.72/21.06
% 20.72/21.06
% 20.72/21.06 Intermediate Status:
% 20.72/21.06 Generated: 25241
% 20.72/21.06 Kept: 8320
% 20.72/21.06 Inuse: 352
% 20.72/21.06 Deleted: 16
% 20.72/21.06 Deletedinuse: 1
% 20.72/21.06
% 20.72/21.06 Resimplifying inuse:
% 20.72/21.06 Done
% 20.72/21.06
% 20.72/21.06 Resimplifying inuse:
% 20.72/21.06 Done
% 20.72/21.06
% 20.72/21.06
% 20.72/21.06 Intermediate Status:
% 20.72/21.06 Generated: 34487
% 20.72/21.06 Kept: 10358
% 20.72/21.06 Inuse: 442
% 20.72/21.06 Deleted: 23
% 20.72/21.06 Deletedinuse: 4
% 20.72/21.06
% 20.72/21.06 Resimplifying inuse:
% 20.72/21.06 Done
% 20.72/21.06
% 20.72/21.06 Resimplifying inuse:
% 20.72/21.06 Done
% 20.72/21.06
% 20.72/21.06
% 20.72/21.06 Intermediate Status:
% 20.72/21.06 Generated: 42374
% 20.72/21.06 Kept: 12362
% 20.72/21.06 Inuse: 467
% 20.72/21.06 Deleted: 24
% 20.72/21.06 Deletedinuse: 4
% 20.72/21.06
% 20.72/21.06 Resimplifying inuse:
% 20.72/21.06 Done
% 20.72/21.06
% 20.72/21.06
% 20.72/21.06 Intermediate Status:
% 20.72/21.06 Generated: 54220
% 20.72/21.06 Kept: 14526
% 20.72/21.06 Inuse: 520
% 20.72/21.06 Deleted: 25
% 20.72/21.06 Deletedinuse: 4
% 20.72/21.06
% 20.72/21.06 Resimplifying inuse:
% 20.72/21.06 Done
% 20.72/21.06
% 20.72/21.06 Resimplifying inuse:
% 20.72/21.06 Done
% 20.72/21.06
% 20.72/21.06
% 20.72/21.06 Intermediate Status:
% 20.72/21.06 Generated: 67221
% 20.72/21.06 Kept: 16614
% 20.72/21.06 Inuse: 575
% 20.72/21.06 Deleted: 25
% 20.72/21.06 Deletedinuse: 4
% 20.72/21.06
% 20.72/21.06 Resimplifying inuse:
% 20.72/21.06 Done
% 20.72/21.06
% 20.72/21.06 Resimplifying inuse:
% 20.72/21.06 Done
% 20.72/21.06
% 20.72/21.06
% 20.72/21.06 Intermediate Status:
% 20.72/21.06 Generated: 75296
% 20.72/21.06 Kept: 18746
% 20.72/21.06 Inuse: 615
% 20.72/21.06 Deleted: 25
% 20.72/21.06 Deletedinuse: 4
% 20.72/21.06
% 20.72/21.06 Resimplifying inuse:
% 76.83/77.21 Done
% 76.83/77.21
% 76.83/77.21 Resimplifying inuse:
% 76.83/77.21 Done
% 76.83/77.21
% 76.83/77.21 Resimplifying clauses:
% 76.83/77.21 Done
% 76.83/77.21
% 76.83/77.21
% 76.83/77.21 Intermediate Status:
% 76.83/77.21 Generated: 87805
% 76.83/77.21 Kept: 20968
% 76.83/77.21 Inuse: 675
% 76.83/77.21 Deleted: 621
% 76.83/77.21 Deletedinuse: 7
% 76.83/77.21
% 76.83/77.21 Resimplifying inuse:
% 76.83/77.21 Done
% 76.83/77.21
% 76.83/77.21 Resimplifying inuse:
% 76.83/77.21 Done
% 76.83/77.21
% 76.83/77.21
% 76.83/77.21 Intermediate Status:
% 76.83/77.21 Generated: 98374
% 76.83/77.21 Kept: 22972
% 76.83/77.21 Inuse: 706
% 76.83/77.21 Deleted: 624
% 76.83/77.21 Deletedinuse: 8
% 76.83/77.21
% 76.83/77.21 Resimplifying inuse:
% 76.83/77.21 Done
% 76.83/77.21
% 76.83/77.21 Resimplifying inuse:
% 76.83/77.21 Done
% 76.83/77.21
% 76.83/77.21
% 76.83/77.21 Intermediate Status:
% 76.83/77.21 Generated: 108670
% 76.83/77.21 Kept: 25063
% 76.83/77.21 Inuse: 757
% 76.83/77.21 Deleted: 624
% 76.83/77.21 Deletedinuse: 8
% 76.83/77.21
% 76.83/77.21 Resimplifying inuse:
% 76.83/77.21 Done
% 76.83/77.21
% 76.83/77.21 Resimplifying inuse:
% 76.83/77.21 Done
% 76.83/77.21
% 76.83/77.21
% 76.83/77.21 Intermediate Status:
% 76.83/77.21 Generated: 122077
% 76.83/77.21 Kept: 27167
% 76.83/77.21 Inuse: 796
% 76.83/77.21 Deleted: 625
% 76.83/77.21 Deletedinuse: 8
% 76.83/77.21
% 76.83/77.21 Resimplifying inuse:
% 76.83/77.21 Done
% 76.83/77.21
% 76.83/77.21 Resimplifying inuse:
% 76.83/77.21 Done
% 76.83/77.21
% 76.83/77.21
% 76.83/77.21 Intermediate Status:
% 76.83/77.21 Generated: 142761
% 76.83/77.21 Kept: 30286
% 76.83/77.21 Inuse: 811
% 76.83/77.21 Deleted: 626
% 76.83/77.21 Deletedinuse: 9
% 76.83/77.21
% 76.83/77.21 Resimplifying inuse:
% 76.83/77.21 Done
% 76.83/77.21
% 76.83/77.21 Resimplifying inuse:
% 76.83/77.21 Done
% 76.83/77.21
% 76.83/77.21
% 76.83/77.21 Intermediate Status:
% 76.83/77.21 Generated: 158055
% 76.83/77.21 Kept: 32867
% 76.83/77.21 Inuse: 821
% 76.83/77.21 Deleted: 626
% 76.83/77.21 Deletedinuse: 9
% 76.83/77.21
% 76.83/77.21 Resimplifying inuse:
% 76.83/77.21 Done
% 76.83/77.21
% 76.83/77.21 Resimplifying inuse:
% 76.83/77.21 Done
% 76.83/77.21
% 76.83/77.21
% 76.83/77.21 Intermediate Status:
% 76.83/77.21 Generated: 169625
% 76.83/77.21 Kept: 35750
% 76.83/77.21 Inuse: 831
% 76.83/77.21 Deleted: 626
% 76.83/77.21 Deletedinuse: 9
% 76.83/77.21
% 76.83/77.21 Resimplifying inuse:
% 76.83/77.21 Done
% 76.83/77.21
% 76.83/77.21 Resimplifying inuse:
% 76.83/77.21 Done
% 76.83/77.21
% 76.83/77.21
% 76.83/77.21 Intermediate Status:
% 76.83/77.21 Generated: 180190
% 76.83/77.21 Kept: 38100
% 76.83/77.21 Inuse: 851
% 76.83/77.21 Deleted: 626
% 76.83/77.21 Deletedinuse: 9
% 76.83/77.21
% 76.83/77.21 Resimplifying inuse:
% 76.83/77.21 Done
% 76.83/77.21
% 76.83/77.21 Resimplifying inuse:
% 76.83/77.21 Done
% 76.83/77.21
% 76.83/77.21
% 76.83/77.21 Intermediate Status:
% 76.83/77.21 Generated: 192492
% 76.83/77.21 Kept: 40543
% 76.83/77.21 Inuse: 876
% 76.83/77.21 Deleted: 626
% 76.83/77.21 Deletedinuse: 9
% 76.83/77.21
% 76.83/77.21 Resimplifying clauses:
% 76.83/77.21 Done
% 76.83/77.21
% 76.83/77.21 Resimplifying inuse:
% 76.83/77.21 Done
% 76.83/77.21
% 76.83/77.21 Resimplifying inuse:
% 76.83/77.21 Done
% 76.83/77.21
% 76.83/77.21
% 76.83/77.21 Intermediate Status:
% 76.83/77.21 Generated: 203476
% 76.83/77.21 Kept: 42669
% 76.83/77.21 Inuse: 902
% 76.83/77.21 Deleted: 1304
% 76.83/77.21 Deletedinuse: 9
% 76.83/77.21
% 76.83/77.21 Resimplifying inuse:
% 76.83/77.21 Done
% 76.83/77.21
% 76.83/77.21 Resimplifying inuse:
% 76.83/77.21 Done
% 76.83/77.21
% 76.83/77.21
% 76.83/77.21 Intermediate Status:
% 76.83/77.21 Generated: 213542
% 76.83/77.21 Kept: 44674
% 76.83/77.21 Inuse: 930
% 76.83/77.21 Deleted: 1304
% 76.83/77.21 Deletedinuse: 9
% 76.83/77.21
% 76.83/77.21
% 76.83/77.21 Intermediate Status:
% 76.83/77.21 Generated: 228605
% 76.83/77.21 Kept: 46905
% 76.83/77.21 Inuse: 947
% 76.83/77.21 Deleted: 1304
% 76.83/77.21 Deletedinuse: 9
% 76.83/77.21
% 76.83/77.21 Resimplifying inuse:
% 76.83/77.21 Done
% 76.83/77.21
% 76.83/77.21 Resimplifying inuse:
% 76.83/77.21 Done
% 76.83/77.21
% 76.83/77.21
% 76.83/77.21 Intermediate Status:
% 76.83/77.21 Generated: 251594
% 76.83/77.21 Kept: 49647
% 76.83/77.21 Inuse: 957
% 76.83/77.21 Deleted: 1304
% 76.83/77.21 Deletedinuse: 9
% 76.83/77.21
% 76.83/77.21 Resimplifying inuse:
% 76.83/77.21 Done
% 76.83/77.21
% 76.83/77.21 Resimplifying inuse:
% 76.83/77.21 Done
% 76.83/77.21
% 76.83/77.21
% 76.83/77.21 Intermediate Status:
% 76.83/77.21 Generated: 280433
% 76.83/77.21 Kept: 52905
% 76.83/77.21 Inuse: 997
% 76.83/77.21 Deleted: 1304
% 76.83/77.21 Deletedinuse: 9
% 76.83/77.21
% 76.83/77.21 Resimplifying inuse:
% 76.83/77.21 Done
% 76.83/77.21
% 76.83/77.21 Resimplifying inuse:
% 76.83/77.21 Done
% 76.83/77.21
% 76.83/77.21
% 76.83/77.21 Intermediate Status:
% 76.83/77.21 Generated: 288798
% 76.83/77.21 Kept: 54909
% 76.83/77.21 Inuse: 1023
% 76.83/77.21 Deleted: 1308
% 76.83/77.21 Deletedinuse: 13
% 76.83/77.21
% 76.83/77.21 Resimplifying inuse:
% 76.83/77.21 Done
% 76.83/77.21
% 76.83/77.21 Resimplifying inuse:
% 76.83/77.21 Done
% 76.83/77.21
% 76.83/77.21
% 76.83/77.21 Intermediate Status:
% 76.83/77.21 Generated: 297671
% 76.83/77.21 Kept: 57100
% 76.83/77.21 Inuse: 1052
% 76.83/77.21 Deleted: 1309
% 76.83/77.21 Deletedinuse: 14
% 76.83/77.21
% 76.83/77.21 Resimplifying inuse:
% 76.83/77.21 Done
% 76.83/77.21
% 76.83/77.21 Resimplifying inuse:
% 76.83/77.21 Done
% 76.83/77.21
% 76.83/77.21
% 76.83/77.21 Intermediate Status:
% 76.83/77.21 Generated: 324090
% 76.83/77.21 Kept: 60336
% 76.83/77.21 Inuse: 1087
% 76.83/77.21 Deleted: 1312
% 76.83/77.21 Deletedinuse: 17
% 76.83/77.21
% 76.83/77.21 Resimplifying inuse:
% 76.83/77.21 Done
% 76.83/77.21
% 76.83/77.21
% 76.83/77.21 Intermediate Status:
% 76.83/77.21 Generated: 331917
% 76.83/77.21 Kept: 62883
% 76.83/77.21 Inuse: 1092
% 76.83/77.21 Deleted: 1312
% 76.83/77.21 Deletedinuse: 17
% 76.83/77.21
% 76.83/77.21 Resimplifying inuse:
% 76.83/77.21 Done
% 76.83/77.22
% 76.83/77.22 Resimplifying clauses:
% 76.83/77.22 Done
% 76.83/77.22
% 76.83/77.22 Resimplifying inuse:
% 76.83/77.22 Done
% 76.83/77.22
% 76.83/77.22
% 76.83/77.22 Intermediate Status:
% 76.83/77.22 Generated: 343403
% 76.83/77.22 Kept: 65089
% 76.83/77.22 Inuse: 1107
% 76.83/77.22 Deleted: 1920
% 76.83/77.22 Deletedinuse: 19
% 76.83/77.22
% 76.83/77.22 Resimplifying inuse:
% 76.83/77.22 Done
% 76.83/77.22
% 76.83/77.22
% 76.83/77.22 Intermediate Status:
% 76.83/77.22 Generated: 358946
% 76.83/77.22 Kept: 68487
% 76.83/77.22 Inuse: 1116
% 76.83/77.22 Deleted: 1920
% 76.83/77.22 Deletedinuse: 19
% 76.83/77.22
% 76.83/77.22 Resimplifying inuse:
% 76.83/77.22 Done
% 76.83/77.22
% 76.83/77.22 Resimplifying inuse:
% 76.83/77.22 Done
% 76.83/77.22
% 76.83/77.22
% 76.83/77.22 Intermediate Status:
% 76.83/77.22 Generated: 369545
% 76.83/77.22 Kept: 70534
% 76.83/77.22 Inuse: 1132
% 76.83/77.22 Deleted: 1920
% 76.83/77.22 Deletedinuse: 19
% 76.83/77.22
% 76.83/77.22 Resimplifying inuse:
% 76.83/77.22 Done
% 76.83/77.22
% 76.83/77.22 Resimplifying inuse:
% 76.83/77.22 Done
% 76.83/77.22
% 76.83/77.22
% 76.83/77.22 Intermediate Status:
% 76.83/77.22 Generated: 383258
% 76.83/77.22 Kept: 72646
% 76.83/77.22 Inuse: 1142
% 76.83/77.22 Deleted: 1920
% 76.83/77.22 Deletedinuse: 19
% 76.83/77.22
% 76.83/77.22 Resimplifying inuse:
% 76.83/77.22 Done
% 76.83/77.22
% 76.83/77.22 Resimplifying inuse:
% 76.83/77.22 Done
% 76.83/77.22
% 76.83/77.22
% 76.83/77.22 Intermediate Status:
% 76.83/77.22 Generated: 396072
% 76.83/77.22 Kept: 74795
% 76.83/77.22 Inuse: 1157
% 76.83/77.22 Deleted: 1920
% 76.83/77.22 Deletedinuse: 19
% 76.83/77.22
% 76.83/77.22 Resimplifying inuse:
% 76.83/77.22 Done
% 76.83/77.22
% 76.83/77.22 Resimplifying inuse:
% 76.83/77.22 Done
% 76.83/77.22
% 76.83/77.22
% 76.83/77.22 Intermediate Status:
% 76.83/77.22 Generated: 405688
% 76.83/77.22 Kept: 76817
% 76.83/77.22 Inuse: 1185
% 76.83/77.22 Deleted: 1920
% 76.83/77.22 Deletedinuse: 19
% 76.83/77.22
% 76.83/77.22 Resimplifying inuse:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84 Resimplifying inuse:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84
% 179.39/179.84 Intermediate Status:
% 179.39/179.84 Generated: 418332
% 179.39/179.84 Kept: 79678
% 179.39/179.84 Inuse: 1207
% 179.39/179.84 Deleted: 1922
% 179.39/179.84 Deletedinuse: 21
% 179.39/179.84
% 179.39/179.84 Resimplifying inuse:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84 Resimplifying inuse:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84
% 179.39/179.84 Intermediate Status:
% 179.39/179.84 Generated: 427688
% 179.39/179.84 Kept: 81821
% 179.39/179.84 Inuse: 1237
% 179.39/179.84 Deleted: 1922
% 179.39/179.84 Deletedinuse: 21
% 179.39/179.84
% 179.39/179.84 Resimplifying inuse:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84 Resimplifying inuse:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84 Resimplifying clauses:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84
% 179.39/179.84 Intermediate Status:
% 179.39/179.84 Generated: 438499
% 179.39/179.84 Kept: 83857
% 179.39/179.84 Inuse: 1272
% 179.39/179.84 Deleted: 2226
% 179.39/179.84 Deletedinuse: 21
% 179.39/179.84
% 179.39/179.84 Resimplifying inuse:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84 Resimplifying inuse:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84
% 179.39/179.84 Intermediate Status:
% 179.39/179.84 Generated: 451004
% 179.39/179.84 Kept: 86171
% 179.39/179.84 Inuse: 1287
% 179.39/179.84 Deleted: 2226
% 179.39/179.84 Deletedinuse: 21
% 179.39/179.84
% 179.39/179.84 Resimplifying inuse:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84 Resimplifying inuse:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84
% 179.39/179.84 Intermediate Status:
% 179.39/179.84 Generated: 464995
% 179.39/179.84 Kept: 88359
% 179.39/179.84 Inuse: 1317
% 179.39/179.84 Deleted: 2226
% 179.39/179.84 Deletedinuse: 21
% 179.39/179.84
% 179.39/179.84 Resimplifying inuse:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84 Resimplifying inuse:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84
% 179.39/179.84 Intermediate Status:
% 179.39/179.84 Generated: 477653
% 179.39/179.84 Kept: 90678
% 179.39/179.84 Inuse: 1342
% 179.39/179.84 Deleted: 2226
% 179.39/179.84 Deletedinuse: 21
% 179.39/179.84
% 179.39/179.84 Resimplifying inuse:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84
% 179.39/179.84 Intermediate Status:
% 179.39/179.84 Generated: 503511
% 179.39/179.84 Kept: 93020
% 179.39/179.84 Inuse: 1352
% 179.39/179.84 Deleted: 2226
% 179.39/179.84 Deletedinuse: 21
% 179.39/179.84
% 179.39/179.84 Resimplifying inuse:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84 Resimplifying inuse:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84
% 179.39/179.84 Intermediate Status:
% 179.39/179.84 Generated: 530071
% 179.39/179.84 Kept: 95224
% 179.39/179.84 Inuse: 1362
% 179.39/179.84 Deleted: 2226
% 179.39/179.84 Deletedinuse: 21
% 179.39/179.84
% 179.39/179.84 Resimplifying inuse:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84 Resimplifying inuse:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84
% 179.39/179.84 Intermediate Status:
% 179.39/179.84 Generated: 541783
% 179.39/179.84 Kept: 97316
% 179.39/179.84 Inuse: 1388
% 179.39/179.84 Deleted: 2234
% 179.39/179.84 Deletedinuse: 25
% 179.39/179.84
% 179.39/179.84 Resimplifying inuse:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84 Resimplifying inuse:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84
% 179.39/179.84 Intermediate Status:
% 179.39/179.84 Generated: 556881
% 179.39/179.84 Kept: 99671
% 179.39/179.84 Inuse: 1415
% 179.39/179.84 Deleted: 2237
% 179.39/179.84 Deletedinuse: 25
% 179.39/179.84
% 179.39/179.84 Resimplifying inuse:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84 Resimplifying inuse:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84
% 179.39/179.84 Intermediate Status:
% 179.39/179.84 Generated: 572862
% 179.39/179.84 Kept: 101678
% 179.39/179.84 Inuse: 1432
% 179.39/179.84 Deleted: 2238
% 179.39/179.84 Deletedinuse: 26
% 179.39/179.84
% 179.39/179.84 Resimplifying inuse:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84
% 179.39/179.84 Intermediate Status:
% 179.39/179.84 Generated: 589449
% 179.39/179.84 Kept: 103777
% 179.39/179.84 Inuse: 1450
% 179.39/179.84 Deleted: 2238
% 179.39/179.84 Deletedinuse: 26
% 179.39/179.84
% 179.39/179.84 Resimplifying inuse:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84 Resimplifying clauses:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84 Resimplifying inuse:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84
% 179.39/179.84 Intermediate Status:
% 179.39/179.84 Generated: 602299
% 179.39/179.84 Kept: 105880
% 179.39/179.84 Inuse: 1475
% 179.39/179.84 Deleted: 3561
% 179.39/179.84 Deletedinuse: 26
% 179.39/179.84
% 179.39/179.84 Resimplifying inuse:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84 Resimplifying inuse:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84
% 179.39/179.84 Intermediate Status:
% 179.39/179.84 Generated: 611253
% 179.39/179.84 Kept: 107897
% 179.39/179.84 Inuse: 1495
% 179.39/179.84 Deleted: 3561
% 179.39/179.84 Deletedinuse: 26
% 179.39/179.84
% 179.39/179.84 Resimplifying inuse:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84
% 179.39/179.84 Intermediate Status:
% 179.39/179.84 Generated: 625916
% 179.39/179.84 Kept: 109997
% 179.39/179.84 Inuse: 1510
% 179.39/179.84 Deleted: 3561
% 179.39/179.84 Deletedinuse: 26
% 179.39/179.84
% 179.39/179.84 Resimplifying inuse:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84 Resimplifying inuse:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84
% 179.39/179.84 Intermediate Status:
% 179.39/179.84 Generated: 640900
% 179.39/179.84 Kept: 112006
% 179.39/179.84 Inuse: 1543
% 179.39/179.84 Deleted: 3562
% 179.39/179.84 Deletedinuse: 27
% 179.39/179.84
% 179.39/179.84 Resimplifying inuse:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84
% 179.39/179.84 Intermediate Status:
% 179.39/179.84 Generated: 652115
% 179.39/179.84 Kept: 114076
% 179.39/179.84 Inuse: 1550
% 179.39/179.84 Deleted: 3562
% 179.39/179.84 Deletedinuse: 27
% 179.39/179.84
% 179.39/179.84 Resimplifying inuse:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84
% 179.39/179.84 Intermediate Status:
% 179.39/179.84 Generated: 671444
% 179.39/179.84 Kept: 118326
% 179.39/179.84 Inuse: 1570
% 179.39/179.84 Deleted: 3562
% 179.39/179.84 Deletedinuse: 27
% 179.39/179.84
% 179.39/179.84 Resimplifying inuse:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84
% 179.39/179.84 Intermediate Status:
% 179.39/179.84 Generated: 680182
% 179.39/179.84 Kept: 121114
% 179.39/179.84 Inuse: 1575
% 179.39/179.84 Deleted: 3564
% 179.39/179.84 Deletedinuse: 29
% 179.39/179.84
% 179.39/179.84 Resimplifying inuse:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84 Resimplifying inuse:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84
% 179.39/179.84 Intermediate Status:
% 179.39/179.84 Generated: 702473
% 179.39/179.84 Kept: 124416
% 179.39/179.84 Inuse: 1600
% 179.39/179.84 Deleted: 3565
% 179.39/179.84 Deletedinuse: 30
% 179.39/179.84
% 179.39/179.84 Resimplifying inuse:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84 Resimplifying clauses:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84 Resimplifying inuse:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84
% 179.39/179.84 Intermediate Status:
% 179.39/179.84 Generated: 712929
% 179.39/179.84 Kept: 126427
% 179.39/179.84 Inuse: 1618
% 179.39/179.84 Deleted: 4311
% 179.39/179.84 Deletedinuse: 30
% 179.39/179.84
% 179.39/179.84 Resimplifying inuse:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84 Resimplifying inuse:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84
% 179.39/179.84 Intermediate Status:
% 179.39/179.84 Generated: 724090
% 179.39/179.84 Kept: 128626
% 179.39/179.84 Inuse: 1635
% 179.39/179.84 Deleted: 4311
% 179.39/179.84 Deletedinuse: 30
% 179.39/179.84
% 179.39/179.84 Resimplifying inuse:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84 Resimplifying inuse:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84
% 179.39/179.84 Intermediate Status:
% 179.39/179.84 Generated: 746399
% 179.39/179.84 Kept: 130639
% 179.39/179.84 Inuse: 1652
% 179.39/179.84 Deleted: 4311
% 179.39/179.84 Deletedinuse: 30
% 179.39/179.84
% 179.39/179.84 Resimplifying inuse:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84
% 179.39/179.84 Intermediate Status:
% 179.39/179.84 Generated: 760141
% 179.39/179.84 Kept: 132953
% 179.39/179.84 Inuse: 1675
% 179.39/179.84 Deleted: 4311
% 179.39/179.84 Deletedinuse: 30
% 179.39/179.84
% 179.39/179.84 Resimplifying inuse:
% 179.39/179.84 Done
% 179.39/179.84
% 179.39/179.84 ResimplifyingCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------