TSTP Solution File: SWV680-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV680-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.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 16:27:44 EDT 2022
% Result : Timeout 300.08s 300.47s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV680-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.14 % Command : bliksem %s
% 0.15/0.35 % Computer : n020.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % DateTime : Thu Jun 16 06:23:34 EDT 2022
% 0.15/0.35 % CPUTime :
% 1.01/1.40 *** allocated 10000 integers for termspace/termends
% 1.01/1.40 *** allocated 10000 integers for clauses
% 1.01/1.40 *** allocated 10000 integers for justifications
% 1.01/1.40 *** allocated 15000 integers for termspace/termends
% 1.01/1.40 *** allocated 22500 integers for termspace/termends
% 1.01/1.40 Bliksem 1.12
% 1.01/1.40
% 1.01/1.40
% 1.01/1.40 Automatic Strategy Selection
% 1.01/1.40
% 1.01/1.40 Clauses:
% 1.01/1.40 [
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.40 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.40 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.01/1.40 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 X ), T, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.01/1.40 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.40 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.40 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.40 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.01/1.40 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.40 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.40 ), X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 , X ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.40 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.40 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( T, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.40 , X ), X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.40 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.40 ), X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.40 , X ), X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.40 Z, T, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.01/1.40 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.01/1.40 ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.01/1.40 ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.01/1.40 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.01/1.40 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.40 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.01/1.40 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.40 , 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.01/1.40 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.40 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.01/1.40 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.01/1.40 , 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.40 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.40 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.40 ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.40 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.40 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.40 , X ), X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.40 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.01/1.40 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.40 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.01/1.40 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.40 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.40 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.01/1.40 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.01/1.40 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.01/1.40 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.01/1.40 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.01/1.40 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.40 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.01/1.40 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.40 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.01/1.40 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.40 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.01/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.40 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.01/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.01/1.40 ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.01/1.40 ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.01/1.40 ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.01/1.40 ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.01/1.40 ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.01/1.40 ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.01/1.40 ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.01/1.40 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 1.01/1.40 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.01/1.40 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.01/1.40 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.01/1.40 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.40 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.40 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.40 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.40 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.40 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 1.01/1.40 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.40 ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.40 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 X ), T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 1.01/1.40 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.01/1.40 ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.40 , Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.40 , T, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.40 , Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.40 , T, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.40 , Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.40 , T, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.40 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.01/1.40 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.01/1.40 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.01/1.40 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.01/1.40 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.40 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 1.01/1.40 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.01/1.40 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.01/1.40 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.01/1.40 ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.01/1.40 ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.01/1.40 ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.01/1.40 ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.40 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.01/1.40 ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.01/1.40 ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.01/1.40 ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.40 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 ) ), =( Y, Z ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 ) ), =( Y, Z ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.40 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.40 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.01/1.40 ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.40 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.01/1.40 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.01/1.40 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.01/1.40 ), Y ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 1.01/1.40 , X ), X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 1.01/1.40 , X ), X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.40 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.40 ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.40 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.40 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.40 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.40 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.01/1.40 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.40 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.01/1.40 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.01/1.40 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.01/1.40 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.40 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.40 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.01/1.40 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.01/1.40 ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.01/1.40 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.40 , Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.01/1.40 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.40 , Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.40 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.01/1.40 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.01/1.40 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.01/1.40 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.01/1.40 Y, X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 1.01/1.40 ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.01/1.40 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.01/1.40 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.40 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.01/1.40 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.40 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.01/1.40 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.01/1.40 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.01/1.40 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.01/1.40 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.40 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 1.01/1.40 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.40 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.40 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.40 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.01/1.40 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 1.01/1.40 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.01/1.40 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.40 , T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.40 , T, X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.40 , T, X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.40 , T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), T, X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.40 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.40 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.40 ), X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.40 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.40 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.40 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.40 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.01/1.40 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, T, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.40 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.01/1.40 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 1.01/1.40 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.40 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.40 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.40 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.40 ), X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.40 ), X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.01/1.40 ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.40 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.40 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.40 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.40 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.40 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.40 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.40 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.40 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.40 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.40 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 T, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.40 , Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.40 , T, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.40 , T, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.40 , Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 1.01/1.40 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.40 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.01/1.40 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.01/1.40 , U, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.01/1.40 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.40 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.01/1.40 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.40 X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.01/1.40 X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Z
% 1.01/1.40 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.40 , T, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.01/1.40 , T, X ) ) ), =( Y, Z ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.01/1.40 , T, X ) ) ), =( Z, T ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.40 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.40 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.01/1.40 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.40 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.40 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.01/1.40 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.01/1.40 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.40 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.01/1.40 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.01/1.40 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.40 ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.40 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.01/1.40 ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.01/1.40 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.01/1.40 ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.40 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.40 ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.01/1.40 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.40 ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.40 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.01/1.40 ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.40 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.40 ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.01/1.40 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.40 ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.40 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.01/1.40 ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.40 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.40 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.01/1.40 ), X ), Y ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 1.01/1.40 ), Y ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.01/1.40 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.40 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.01/1.40 ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.40 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.01/1.40 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.40 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 1.01/1.40 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.01/1.40 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.01/1.40 , X ), T, X ), W, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.01/1.40 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.01/1.40 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.01/1.40 , X ), W, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.01/1.40 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.40 Y, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ),
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.40 , T, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.40 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 1.01/1.40 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.01/1.40 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.40 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.40 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.40 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.01/1.40 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.40 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.01/1.40 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.01/1.40 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.40 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.01/1.40 ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.40 ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.01/1.40 ), =( Z, Y ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.01/1.40 ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.01/1.40 ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.40 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.01/1.40 X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.40 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.01/1.40 ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.40 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.01/1.40 X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.40 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.01/1.40 ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.40 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.01/1.40 ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.40 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.40 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.40 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.01/1.40 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.40 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.40 ), X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.40 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.40 ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.40 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.40 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.40 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 1.01/1.40 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.01/1.40 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.01/1.40 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.01/1.40 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.01/1.40 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.01/1.40 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.40 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.40 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.40 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.01/1.40 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.40 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.40 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.40 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.01/1.40 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.01/1.40 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.40 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.01/1.40 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.01/1.40 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.40 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.40 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.40 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.40 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.40 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.40 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.40 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.40 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.40 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.01/1.40 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.40 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.01/1.40 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.40 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.01/1.40 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.01/1.40 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.40 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ), T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.01/1.41 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.01/1.41 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.01/1.41 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.01/1.41 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.41 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.01/1.41 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.41 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 1.01/1.41 , X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.41 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.41 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.41 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.01/1.41 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.41 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.01/1.41 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.41 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.41 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.41 Z, X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.41 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.41 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.41 X ), 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 , X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.41 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.41 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ), 'c_HOL_Oinverse__class_Odivide'( Z,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.01/1.41 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.41 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.01/1.41 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.41 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.41 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.41 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 1.01/1.41 X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.41 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.01/1.41 X ) ) ), =( Z, T ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.01/1.41 X ) ) ), =( Z, T ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.01/1.41 X ) ) ), =( Y, T ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 1.01/1.41 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.41 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.01/1.41 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.01/1.41 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.01/1.41 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 1.01/1.41 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.41 ), X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.41 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.41 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 1.01/1.41 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.01/1.41 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.01/1.41 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.01/1.41 , X ), W, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.01/1.41 X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.01/1.41 X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.01/1.41 X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.01/1.41 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_lessequals'( Z, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.01/1.41 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_lessequals'( Z, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.41 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.01/1.41 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 1.01/1.41 W, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.01/1.41 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.01/1.41 , X ), T, X ), W, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 1.01/1.41 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 1.01/1.41 W, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.01/1.41 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.01/1.41 , X ), W, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 1.01/1.41 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 1.01/1.41 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.01/1.41 X ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 1.01/1.41 , X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.41 ), X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.41 X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.41 , Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.41 , Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.41 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.41 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 1.01/1.41 ), Y, X ) ), =( Z, T ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.01/1.41 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.41 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.01/1.41 ), =( 'c_HOL_Oinverse__class_Oinverse'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.41 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.01/1.41 ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.41 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.01/1.41 X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.41 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 Z, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 Z, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.41 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.01/1.41 X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.41 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 Y, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 Y, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.41 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 1.01/1.41 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.01/1.41 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.41 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.01/1.41 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.41 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.01/1.41 'c_lessequals'( Z, Y, X ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.41 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.41 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.41 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.41 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 1.01/1.41 Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.01/1.41 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.01/1.41 , 'tc_nat' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.01/1.41 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 1.01/1.41 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.01/1.41 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 1.01/1.41 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.41 , Z, X ), Z, X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.41 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.41 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.41 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.41 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.41 Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.41 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 , T, X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.41 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 , T, X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.41 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 1.01/1.41 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.01/1.41 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.41 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.01/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.01/1.41 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 , Z, X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.01/1.41 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 , Z, X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.41 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.01/1.41 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.01/1.41 , Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.41 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.41 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.41 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.41 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 Y, T, X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.41 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 Y, T, X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.01/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.01/1.41 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.01/1.41 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.41 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.01/1.41 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.41 X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.41 , T, X ), Z ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.01/1.41 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ), T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.41 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.01/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.01/1.41 X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.41 Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.01/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.41 Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.01/1.41 X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.41 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.41 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.01/1.41 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T,
% 1.01/1.41 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, Z, X ), T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.01/1.41 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.41 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.41 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.41 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.01/1.41 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.01/1.41 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.01/1.41 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 1.01/1.41 Y, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.01/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.41 X ), T, X ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.01/1.41 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.01/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.41 T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.01/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.41 X ), T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.01/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.01/1.41 T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.01/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.01/1.41 X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.01/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.01/1.41 T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.01/1.41 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 1.01/1.41 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 1.01/1.41 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.01/1.41 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.01/1.41 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.01/1.41 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 1.01/1.41 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.41 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.41 Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.41 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.41 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_Power_Opower__class_Opower'( 'c_Power_Opower__class_Opower'( Y, Z, X )
% 1.01/1.41 , T, X ), 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 Z, T, 'tc_nat' ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.41 , Y, X ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.41 , Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.01/1.41 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.41 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.41 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.01/1.41 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.41 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.41 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.01/1.41 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 Y, T, X ), Z, X ) ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Ofield'( 't_a' ) ],
% 1.01/1.41 [ ~( =( 'v_a', 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ) ],
% 1.01/1.41 [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 'c_Power_Opower__class_Opower'(
% 1.01/1.41 'v_a', 'c_HOL_Otimes__class_Otimes'( 'v_i', 'v_j', 'tc_nat' ), 't_a' ),
% 1.01/1.41 'c_Power_Opower__class_Opower'( 'v_a', 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'v_k', 'v_i', 'tc_nat' ), 't_a' ), 't_a' ),
% 1.01/1.41 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_Power_Opower__class_Opower'( 'v_a', 'v_j', 't_a' ),
% 1.01/1.41 'c_Power_Opower__class_Opower'( 'v_a', 'v_k', 't_a' ), 't_a' ), 'v_i',
% 1.01/1.41 't_a' ) ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.01/1.41 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.01/1.41 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.01/1.41 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.01/1.41 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.01/1.41 'class_Ring__and__Field_Ono__zero__divisors'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.01/1.41 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.01/1.41 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.01/1.41 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.01/1.41 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.01/1.41 'class_Ring__and__Field_Odivision__ring'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.01/1.41 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.01/1.41 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.01/1.41 'class_Ring__and__Field_Ozero__neq__one'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.01/1.41 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.01/1.41 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.01/1.41 'class_Ring__and__Field_Omult__zero'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.01/1.41 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.01/1.41 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.01/1.41 'class_OrderedGroup_Omonoid__add'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.01/1.41 'class_OrderedGroup_Ogroup__add'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.01/1.41 'class_Ring__and__Field_Oring'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.01/1.41 'class_Ring__and__Field_Oidom'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_Power_Opower'( X ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.01/1.41 ],
% 1.01/1.41 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.01/1.41 ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.01/1.41 ],
% 1.01/1.41 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.01/1.41 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.01/1.41 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.01/1.41 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 1.01/1.41 ],
% 1.01/1.41 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 1.01/1.41 ],
% 1.01/1.41 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Nat_Osemiring__char__0'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ]
% 1.01/1.41 ] .
% 1.01/1.41
% 1.01/1.41
% 1.01/1.41 percentage equality = 0.123806, percentage horn = 0.776276
% 1.01/1.41 This is a problem with some equality
% 1.01/1.41
% 1.01/1.41
% 1.01/1.41
% 1.01/1.41 Options Used:
% 1.01/1.41
% 1.01/1.41 useres = 1
% 1.01/1.41 useparamod = 1
% 1.01/1.41 useeqrefl = 1
% 1.01/1.41 useeqfact = 1
% 1.01/1.41 usefactor = 1
% 1.01/1.41 usesimpsplitting = 0
% 1.01/1.41 usesimpdemod = 5
% 1.01/1.41 usesimpres = 3
% 1.01/1.41
% 1.01/1.41 resimpinuse = 1000
% 2.60/2.99 resimpclauses = 20000
% 2.60/2.99 substype = eqrewr
% 2.60/2.99 backwardsubs = 1
% 2.60/2.99 selectoldest = 5
% 2.60/2.99
% 2.60/2.99 litorderings [0] = split
% 2.60/2.99 litorderings [1] = extend the termordering, first sorting on arguments
% 2.60/2.99
% 2.60/2.99 termordering = kbo
% 2.60/2.99
% 2.60/2.99 litapriori = 0
% 2.60/2.99 termapriori = 1
% 2.60/2.99 litaposteriori = 0
% 2.60/2.99 termaposteriori = 0
% 2.60/2.99 demodaposteriori = 0
% 2.60/2.99 ordereqreflfact = 0
% 2.60/2.99
% 2.60/2.99 litselect = negord
% 2.60/2.99
% 2.60/2.99 maxweight = 15
% 2.60/2.99 maxdepth = 30000
% 2.60/2.99 maxlength = 115
% 2.60/2.99 maxnrvars = 195
% 2.60/2.99 excuselevel = 1
% 2.60/2.99 increasemaxweight = 1
% 2.60/2.99
% 2.60/2.99 maxselected = 10000000
% 2.60/2.99 maxnrclauses = 10000000
% 2.60/2.99
% 2.60/2.99 showgenerated = 0
% 2.60/2.99 showkept = 0
% 2.60/2.99 showselected = 0
% 2.60/2.99 showdeleted = 0
% 2.60/2.99 showresimp = 1
% 2.60/2.99 showstatus = 2000
% 2.60/2.99
% 2.60/2.99 prologoutput = 1
% 2.60/2.99 nrgoals = 5000000
% 2.60/2.99 totalproof = 1
% 2.60/2.99
% 2.60/2.99 Symbols occurring in the translation:
% 2.60/2.99
% 2.60/2.99 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.60/2.99 . [1, 2] (w:1, o:107, a:1, s:1, b:0),
% 2.60/2.99 ! [4, 1] (w:0, o:46, a:1, s:1, b:0),
% 2.60/2.99 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.60/2.99 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.60/2.99 'class_Ring__and__Field_Oordered__field' [40, 1] (w:1, o:52, a:1, s:1
% 2.60/2.99 , b:0),
% 2.60/2.99 'class_Ring__and__Field_Odivision__by__zero' [41, 1] (w:1, o:55, a:1
% 2.60/2.99 , s:1, b:0),
% 2.60/2.99 'class_Int_Onumber' [42, 1] (w:1, o:56, a:1, s:1, b:0),
% 2.60/2.99 'c_Int_Onumber__class_Onumber__of' [46, 2] (w:1, o:133, a:1, s:1, b:0
% 2.60/2.99 ),
% 2.60/2.99 'c_HOL_Oinverse__class_Odivide' [47, 3] (w:1, o:135, a:1, s:1, b:0),
% 2.60/2.99
% 2.60/2.99 'c_lessequals' [48, 3] (w:1, o:136, a:1, s:1, b:0),
% 2.60/2.99 'c_HOL_Ozero__class_Ozero' [49, 1] (w:1, o:57, a:1, s:1, b:0),
% 2.60/2.99 'c_HOL_Oord__class_Oless' [50, 3] (w:1, o:137, a:1, s:1, b:0),
% 2.60/2.99 'c_HOL_Otimes__class_Otimes' [51, 3] (w:1, o:138, a:1, s:1, b:0),
% 2.60/2.99 'class_Ring__and__Field_Oordered__semidom' [53, 1] (w:1, o:59, a:1
% 2.60/2.99 , s:1, b:0),
% 2.60/2.99 'c_Power_Opower__class_Opower' [55, 3] (w:1, o:139, a:1, s:1, b:0),
% 2.60/2.99 'c_HOL_Oone__class_Oone' [56, 1] (w:1, o:60, a:1, s:1, b:0),
% 2.60/2.99 'class_RealVector_Oreal__normed__algebra' [60, 1] (w:1, o:61, a:1, s:
% 2.60/2.99 1, b:0),
% 2.60/2.99 'c_HOL_Ominus__class_Ominus' [61, 3] (w:1, o:140, a:1, s:1, b:0),
% 2.60/2.99 'class_Ring__and__Field_Osemiring' [66, 1] (w:1, o:65, a:1, s:1, b:0)
% 2.60/2.99 ,
% 2.60/2.99 'c_HOL_Oplus__class_Oplus' [68, 3] (w:1, o:141, a:1, s:1, b:0),
% 2.60/2.99 'class_Ring__and__Field_Oidom' [69, 1] (w:1, o:66, a:1, s:1, b:0),
% 2.60/2.99 'class_Int_Onumber__ring' [70, 1] (w:1, o:67, a:1, s:1, b:0),
% 2.60/2.99 'class_Ring__and__Field_Ocomm__semiring__1' [72, 1] (w:1, o:53, a:1
% 2.60/2.99 , s:1, b:0),
% 2.60/2.99 'class_OrderedGroup_Ocomm__monoid__mult' [73, 1] (w:1, o:69, a:1, s:1
% 2.60/2.99 , b:0),
% 2.60/2.99 'class_OrderedGroup_Omonoid__mult' [74, 1] (w:1, o:71, a:1, s:1, b:0)
% 2.60/2.99 ,
% 2.60/2.99 'class_Ring__and__Field_Ocomm__semiring' [75, 1] (w:1, o:54, a:1, s:1
% 2.60/2.99 , b:0),
% 2.60/2.99 'class_Ring__and__Field_Oordered__ring__strict' [77, 1] (w:1, o:58
% 2.60/2.99 , a:1, s:1, b:0),
% 2.60/2.99 'class_Ring__and__Field_Ofield' [78, 1] (w:1, o:72, a:1, s:1, b:0),
% 2.60/2.99 'c_HOL_Oinverse__class_Oinverse' [79, 2] (w:1, o:132, a:1, s:1, b:0)
% 2.60/2.99 ,
% 2.60/2.99 'class_Ring__and__Field_Oordered__semiring__strict' [80, 1] (w:1, o:
% 2.60/2.99 73, a:1, s:1, b:0),
% 2.60/2.99 'class_Ring__and__Field_Oordered__semiring' [81, 1] (w:1, o:74, a:1
% 2.60/2.99 , s:1, b:0),
% 2.60/2.99 'class_Ring__and__Field_Odivision__ring' [82, 1] (w:1, o:75, a:1, s:1
% 2.60/2.99 , b:0),
% 2.60/2.99 'class_Ring__and__Field_Oordered__idom' [83, 1] (w:1, o:76, a:1, s:1
% 2.60/2.99 , b:0),
% 2.60/2.99 'class_OrderedGroup_Ocomm__monoid__add' [84, 1] (w:1, o:77, a:1, s:1
% 2.60/2.99 , b:0),
% 2.60/2.99 'class_OrderedGroup_Omonoid__add' [85, 1] (w:1, o:78, a:1, s:1, b:0)
% 2.60/2.99 ,
% 2.60/2.99 'class_OrderedGroup_Ogroup__add' [86, 1] (w:1, o:79, a:1, s:1, b:0),
% 2.60/2.99
% 2.60/2.99 'class_OrderedGroup_Oab__group__add' [87, 1] (w:1, o:80, a:1, s:1, b:
% 2.60/2.99 0),
% 2.60/2.99 'class_OrderedGroup_Olordered__ab__group__add' [88, 1] (w:1, o:70, a:
% 2.60/2.99 1, s:1, b:0),
% 2.60/2.99 'class_Ring__and__Field_Ozero__neq__one' [89, 1] (w:1, o:81, a:1, s:1
% 2.60/2.99 , b:0),
% 2.60/2.99 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [90, 1]
% 2.60/2.99 (w:1, o:82, a:1, s:1, b:0),
% 2.60/2.99 'c_Nat_Osemiring__1__class_Oof__nat' [91, 2] (w:1, o:134, a:1, s:1
% 2.60/2.99 , b:0),
% 2.60/2.99 'class_RealVector_Oreal__field' [92, 1] (w:1, o:83, a:1, s:1, b:0),
% 22.10/22.44 'class_RealVector_Oreal__normed__field' [94, 1] (w:1, o:84, a:1, s:1
% 22.10/22.44 , b:0),
% 22.10/22.44 'class_Ring__and__Field_Opordered__cancel__semiring' [95, 1] (w:1, o:
% 22.10/22.44 86, a:1, s:1, b:0),
% 22.10/22.44 'class_OrderedGroup_Opordered__comm__monoid__add' [96, 1] (w:1, o:87
% 22.10/22.44 , a:1, s:1, b:0),
% 22.10/22.44 'class_Int_Oring__char__0' [97, 1] (w:1, o:88, a:1, s:1, b:0),
% 22.10/22.44 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [101, 1]
% 22.10/22.44 (w:1, o:89, a:1, s:1, b:0),
% 22.10/22.44 'class_Orderings_Olinorder' [102, 1] (w:1, o:90, a:1, s:1, b:0),
% 22.10/22.44 'class_Orderings_Opreorder' [103, 1] (w:1, o:92, a:1, s:1, b:0),
% 22.10/22.44 'class_OrderedGroup_Oab__semigroup__add' [104, 1] (w:1, o:93, a:1, s:
% 22.10/22.44 1, b:0),
% 22.10/22.44 'class_Orderings_Oorder' [105, 1] (w:1, o:91, a:1, s:1, b:0),
% 22.10/22.44 'class_Ring__and__Field_Oring' [106, 1] (w:1, o:62, a:1, s:1, b:0),
% 22.10/22.44 'class_Ring__and__Field_Opordered__ring' [107, 1] (w:1, o:94, a:1, s:
% 22.10/22.44 1, b:0),
% 22.10/22.44 'class_Nat_Osemiring__char__0' [108, 1] (w:1, o:68, a:1, s:1, b:0),
% 22.10/22.44 'class_OrderedGroup_Opordered__ab__semigroup__add' [109, 1] (w:1, o:
% 22.10/22.44 95, a:1, s:1, b:0),
% 22.10/22.44 'class_OrderedGroup_Opordered__ab__group__add' [110, 1] (w:1, o:96
% 22.10/22.44 , a:1, s:1, b:0),
% 22.10/22.44 'class_Ring__and__Field_Opordered__semiring' [111, 1] (w:1, o:97, a:1
% 22.10/22.44 , s:1, b:0),
% 22.10/22.44 'class_Ring__and__Field_Omult__mono' [113, 1] (w:1, o:98, a:1, s:1
% 22.10/22.44 , b:0),
% 22.10/22.44 'class_Ring__and__Field_Omult__mono1' [114, 1] (w:1, o:99, a:1, s:1
% 22.10/22.44 , b:0),
% 22.10/22.44 'class_Ring__and__Field_Oordered__comm__semiring__strict' [115, 1]
% 22.10/22.44 (w:1, o:85, a:1, s:1, b:0),
% 22.10/22.44 'class_OrderedGroup_Ocancel__ab__semigroup__add' [116, 1] (w:1, o:100
% 22.10/22.44 , a:1, s:1, b:0),
% 22.10/22.44 'class_OrderedGroup_Ocancel__semigroup__add' [117, 1] (w:1, o:101, a:
% 22.10/22.44 1, s:1, b:0),
% 22.10/22.44 'class_Ring__and__Field_Osemiring__1' [119, 1] (w:1, o:102, a:1, s:1
% 22.10/22.44 , b:0),
% 22.10/22.44 'tc_nat' [120, 0] (w:1, o:35, a:1, s:1, b:0),
% 22.10/22.44 'class_Ring__and__Field_Oring__no__zero__divisors' [121, 1] (w:1, o:
% 22.10/22.44 63, a:1, s:1, b:0),
% 22.10/22.44 'class_Ring__and__Field_Omult__zero' [122, 1] (w:1, o:103, a:1, s:1
% 22.10/22.44 , b:0),
% 22.10/22.44 'class_OrderedGroup_Oab__semigroup__mult' [128, 1] (w:1, o:104, a:1
% 22.10/22.44 , s:1, b:0),
% 22.10/22.44 'class_OrderedGroup_Oab__semigroup__idem__mult' [130, 1] (w:1, o:105
% 22.10/22.44 , a:1, s:1, b:0),
% 22.10/22.44 'class_Ring__and__Field_Oring__1__no__zero__divisors' [131, 1] (w:1
% 22.10/22.44 , o:64, a:1, s:1, b:0),
% 22.10/22.44 'class_Ring__and__Field_Ono__zero__divisors' [132, 1] (w:1, o:51, a:1
% 22.10/22.44 , s:1, b:0),
% 22.10/22.44 'class_Power_Opower' [133, 1] (w:1, o:106, a:1, s:1, b:0),
% 22.10/22.44 't_a' [135, 0] (w:1, o:39, a:1, s:1, b:0),
% 22.10/22.44 'v_a' [136, 0] (w:1, o:40, a:1, s:1, b:0),
% 22.10/22.44 'v_i' [137, 0] (w:1, o:41, a:1, s:1, b:0),
% 22.10/22.44 'v_j' [138, 0] (w:1, o:42, a:1, s:1, b:0),
% 22.10/22.44 'v_k' [139, 0] (w:1, o:43, a:1, s:1, b:0),
% 22.10/22.44 'tc_Int_Oint' [141, 0] (w:1, o:45, a:1, s:1, b:0).
% 22.10/22.44
% 22.10/22.44
% 22.10/22.44 Starting Search:
% 22.10/22.44
% 22.10/22.44 Resimplifying inuse:
% 22.10/22.44 Done
% 22.10/22.44
% 22.10/22.44
% 22.10/22.44 Intermediate Status:
% 22.10/22.44 Generated: 8622
% 22.10/22.44 Kept: 2097
% 22.10/22.44 Inuse: 244
% 22.10/22.44 Deleted: 33
% 22.10/22.44 Deletedinuse: 0
% 22.10/22.44
% 22.10/22.44 Resimplifying inuse:
% 22.10/22.44 Done
% 22.10/22.44
% 22.10/22.44 Resimplifying inuse:
% 22.10/22.44 Done
% 22.10/22.44
% 22.10/22.44
% 22.10/22.44 Intermediate Status:
% 22.10/22.44 Generated: 17020
% 22.10/22.44 Kept: 4363
% 22.10/22.44 Inuse: 346
% 22.10/22.44 Deleted: 36
% 22.10/22.44 Deletedinuse: 1
% 22.10/22.44
% 22.10/22.44 Resimplifying inuse:
% 22.10/22.44 Done
% 22.10/22.44
% 22.10/22.44 Resimplifying inuse:
% 22.10/22.44 Done
% 22.10/22.44
% 22.10/22.44
% 22.10/22.44 Intermediate Status:
% 22.10/22.44 Generated: 32485
% 22.10/22.44 Kept: 6944
% 22.10/22.44 Inuse: 390
% 22.10/22.44 Deleted: 37
% 22.10/22.44 Deletedinuse: 1
% 22.10/22.44
% 22.10/22.44 Resimplifying inuse:
% 22.10/22.44 Done
% 22.10/22.44
% 22.10/22.44 Resimplifying inuse:
% 22.10/22.44 Done
% 22.10/22.44
% 22.10/22.44
% 22.10/22.44 Intermediate Status:
% 22.10/22.44 Generated: 39758
% 22.10/22.44 Kept: 9317
% 22.10/22.44 Inuse: 410
% 22.10/22.44 Deleted: 37
% 22.10/22.44 Deletedinuse: 1
% 22.10/22.44
% 22.10/22.44 Resimplifying inuse:
% 22.10/22.44 Done
% 22.10/22.44
% 22.10/22.44 Resimplifying inuse:
% 22.10/22.44 Done
% 22.10/22.44
% 22.10/22.44
% 22.10/22.44 Intermediate Status:
% 22.10/22.44 Generated: 60200
% 22.10/22.44 Kept: 11651
% 22.10/22.44 Inuse: 444
% 22.10/22.44 Deleted: 38
% 22.10/22.44 Deletedinuse: 1
% 22.10/22.44
% 22.10/22.44 Resimplifying inuse:
% 22.10/22.44 Done
% 22.10/22.44
% 22.10/22.44 Resimplifying inuse:
% 22.10/22.44 Done
% 22.10/22.44
% 22.10/22.44
% 22.10/22.44 Intermediate Status:
% 22.10/22.44 Generated: 70090
% 22.10/22.44 Kept: 13688
% 22.10/22.44 Inuse: 512
% 22.10/22.44 Deleted: 45
% 22.10/22.44 Deletedinuse: 1
% 22.10/22.44
% 22.10/22.44 Resimplifying inuse:
% 22.10/22.44 Done
% 22.10/22.44
% 22.10/22.44 Resimplifying inuse:
% 22.10/22.44 Done
% 22.10/22.44
% 22.10/22.44
% 22.10/22.44 Intermediate Status:
% 22.10/22.44 Generated: 76844
% 22.10/22.44 Kept: 15699
% 22.10/22.44 Inuse: 527
% 22.10/22.44 Deleted: 100
% 22.10/22.44 Deletedinuse: 1
% 22.10/22.44
% 22.10/22.44 Resimplifying inuse:
% 22.10/22.44 Done
% 22.10/22.44
% 22.10/22.44 Resimplifying inuse:
% 22.10/22.44 Done
% 22.10/22.44
% 76.12/76.48
% 76.12/76.48 Intermediate Status:
% 76.12/76.48 Generated: 93030
% 76.12/76.48 Kept: 17703
% 76.12/76.48 Inuse: 596
% 76.12/76.48 Deleted: 164
% 76.12/76.48 Deletedinuse: 1
% 76.12/76.48
% 76.12/76.48 Resimplifying inuse:
% 76.12/76.48 Done
% 76.12/76.48
% 76.12/76.48
% 76.12/76.48 Intermediate Status:
% 76.12/76.48 Generated: 111571
% 76.12/76.48 Kept: 19828
% 76.12/76.48 Inuse: 674
% 76.12/76.48 Deleted: 173
% 76.12/76.48 Deletedinuse: 1
% 76.12/76.48
% 76.12/76.48 Resimplifying inuse:
% 76.12/76.48 Done
% 76.12/76.48
% 76.12/76.48 Resimplifying clauses:
% 76.12/76.48 Done
% 76.12/76.48
% 76.12/76.48 Resimplifying inuse:
% 76.12/76.48 Done
% 76.12/76.48
% 76.12/76.48
% 76.12/76.48 Intermediate Status:
% 76.12/76.48 Generated: 123358
% 76.12/76.48 Kept: 21843
% 76.12/76.48 Inuse: 714
% 76.12/76.48 Deleted: 470
% 76.12/76.48 Deletedinuse: 1
% 76.12/76.48
% 76.12/76.48 Resimplifying inuse:
% 76.12/76.48 Done
% 76.12/76.48
% 76.12/76.48
% 76.12/76.48 Intermediate Status:
% 76.12/76.48 Generated: 141942
% 76.12/76.48 Kept: 23925
% 76.12/76.48 Inuse: 744
% 76.12/76.48 Deleted: 470
% 76.12/76.48 Deletedinuse: 1
% 76.12/76.48
% 76.12/76.48 Resimplifying inuse:
% 76.12/76.48 Done
% 76.12/76.48
% 76.12/76.48 Resimplifying inuse:
% 76.12/76.48 Done
% 76.12/76.48
% 76.12/76.48
% 76.12/76.48 Intermediate Status:
% 76.12/76.48 Generated: 156163
% 76.12/76.48 Kept: 25925
% 76.12/76.48 Inuse: 792
% 76.12/76.48 Deleted: 470
% 76.12/76.48 Deletedinuse: 1
% 76.12/76.48
% 76.12/76.48 Resimplifying inuse:
% 76.12/76.48 Done
% 76.12/76.48
% 76.12/76.48 Resimplifying inuse:
% 76.12/76.48 Done
% 76.12/76.48
% 76.12/76.48
% 76.12/76.48 Intermediate Status:
% 76.12/76.48 Generated: 175498
% 76.12/76.48 Kept: 27971
% 76.12/76.48 Inuse: 839
% 76.12/76.48 Deleted: 470
% 76.12/76.48 Deletedinuse: 1
% 76.12/76.48
% 76.12/76.48 Resimplifying inuse:
% 76.12/76.48 Done
% 76.12/76.48
% 76.12/76.48 Resimplifying inuse:
% 76.12/76.48 Done
% 76.12/76.48
% 76.12/76.48
% 76.12/76.48 Intermediate Status:
% 76.12/76.48 Generated: 196110
% 76.12/76.48 Kept: 30164
% 76.12/76.48 Inuse: 889
% 76.12/76.48 Deleted: 470
% 76.12/76.48 Deletedinuse: 1
% 76.12/76.48
% 76.12/76.48 Resimplifying inuse:
% 76.12/76.48 Done
% 76.12/76.48
% 76.12/76.48 Resimplifying inuse:
% 76.12/76.48 Done
% 76.12/76.48
% 76.12/76.48
% 76.12/76.48 Intermediate Status:
% 76.12/76.48 Generated: 206985
% 76.12/76.48 Kept: 32165
% 76.12/76.48 Inuse: 924
% 76.12/76.48 Deleted: 470
% 76.12/76.48 Deletedinuse: 1
% 76.12/76.48
% 76.12/76.48 Resimplifying inuse:
% 76.12/76.48 Done
% 76.12/76.48
% 76.12/76.48
% 76.12/76.48 Intermediate Status:
% 76.12/76.48 Generated: 229334
% 76.12/76.48 Kept: 34574
% 76.12/76.48 Inuse: 939
% 76.12/76.48 Deleted: 470
% 76.12/76.48 Deletedinuse: 1
% 76.12/76.48
% 76.12/76.48 Resimplifying inuse:
% 76.12/76.48 Done
% 76.12/76.48
% 76.12/76.48 Resimplifying inuse:
% 76.12/76.48 Done
% 76.12/76.48
% 76.12/76.48
% 76.12/76.48 Intermediate Status:
% 76.12/76.48 Generated: 248967
% 76.12/76.48 Kept: 36943
% 76.12/76.48 Inuse: 979
% 76.12/76.48 Deleted: 470
% 76.12/76.48 Deletedinuse: 1
% 76.12/76.48
% 76.12/76.48 Resimplifying inuse:
% 76.12/76.48 Done
% 76.12/76.48
% 76.12/76.48 Resimplifying inuse:
% 76.12/76.48 Done
% 76.12/76.48
% 76.12/76.48
% 76.12/76.48 Intermediate Status:
% 76.12/76.48 Generated: 269517
% 76.12/76.48 Kept: 38948
% 76.12/76.48 Inuse: 996
% 76.12/76.48 Deleted: 470
% 76.12/76.48 Deletedinuse: 1
% 76.12/76.48
% 76.12/76.48 Resimplifying inuse:
% 76.12/76.48 Done
% 76.12/76.48
% 76.12/76.48 Resimplifying clauses:
% 76.12/76.48 Done
% 76.12/76.48
% 76.12/76.48
% 76.12/76.48 Intermediate Status:
% 76.12/76.48 Generated: 281792
% 76.12/76.48 Kept: 41048
% 76.12/76.48 Inuse: 1034
% 76.12/76.48 Deleted: 717
% 76.12/76.48 Deletedinuse: 3
% 76.12/76.48
% 76.12/76.48 Resimplifying inuse:
% 76.12/76.48 Done
% 76.12/76.48
% 76.12/76.48 Resimplifying inuse:
% 76.12/76.48 Done
% 76.12/76.48
% 76.12/76.48
% 76.12/76.48 Intermediate Status:
% 76.12/76.48 Generated: 303448
% 76.12/76.48 Kept: 43224
% 76.12/76.48 Inuse: 1049
% 76.12/76.48 Deleted: 717
% 76.12/76.48 Deletedinuse: 3
% 76.12/76.48
% 76.12/76.48 Resimplifying inuse:
% 76.12/76.48 Done
% 76.12/76.48
% 76.12/76.48
% 76.12/76.48 Intermediate Status:
% 76.12/76.48 Generated: 317385
% 76.12/76.48 Kept: 45483
% 76.12/76.48 Inuse: 1064
% 76.12/76.48 Deleted: 717
% 76.12/76.48 Deletedinuse: 3
% 76.12/76.48
% 76.12/76.48 Resimplifying inuse:
% 76.12/76.48 Done
% 76.12/76.48
% 76.12/76.48 Resimplifying inuse:
% 76.12/76.48 Done
% 76.12/76.48
% 76.12/76.48
% 76.12/76.48 Intermediate Status:
% 76.12/76.48 Generated: 331523
% 76.12/76.48 Kept: 47645
% 76.12/76.48 Inuse: 1079
% 76.12/76.48 Deleted: 717
% 76.12/76.48 Deletedinuse: 3
% 76.12/76.48
% 76.12/76.48 Resimplifying inuse:
% 76.12/76.48 Done
% 76.12/76.48
% 76.12/76.48 Resimplifying inuse:
% 76.12/76.48 Done
% 76.12/76.48
% 76.12/76.48
% 76.12/76.48 Intermediate Status:
% 76.12/76.48 Generated: 349660
% 76.12/76.48 Kept: 49691
% 76.12/76.48 Inuse: 1109
% 76.12/76.48 Deleted: 717
% 76.12/76.48 Deletedinuse: 3
% 76.12/76.48
% 76.12/76.48 Resimplifying inuse:
% 76.12/76.48 Done
% 76.12/76.48
% 76.12/76.48 Resimplifying inuse:
% 76.12/76.48 Done
% 76.12/76.48
% 76.12/76.48
% 76.12/76.48 Intermediate Status:
% 76.12/76.48 Generated: 372422
% 76.12/76.48 Kept: 52489
% 76.12/76.48 Inuse: 1149
% 76.12/76.48 Deleted: 720
% 76.12/76.48 Deletedinuse: 6
% 76.12/76.48
% 76.12/76.48 Resimplifying inuse:
% 76.12/76.48 Done
% 76.12/76.48
% 76.12/76.48
% 76.12/76.48 Intermediate Status:
% 76.12/76.48 Generated: 402740
% 76.12/76.48 Kept: 54939
% 76.12/76.48 Inuse: 1159
% 76.12/76.48 Deleted: 720
% 76.12/76.48 Deletedinuse: 6
% 76.12/76.48
% 76.12/76.48 Resimplifying inuse:
% 76.12/76.48 Done
% 76.12/76.48
% 76.12/76.48 Resimplifying inuse:
% 76.12/76.48 Done
% 76.12/76.48
% 76.12/76.48
% 76.12/76.48 Intermediate Status:
% 76.12/76.48 Generated: 418125
% 76.12/76.48 Kept: 57139
% 76.12/76.48 Inuse: 1189
% 76.12/76.48 Deleted: 720
% 76.12/76.48 Deletedinuse: 6
% 76.12/76.48
% 76.12/76.48 Resimplifying inuse:
% 76.12/76.48 Done
% 76.12/76.48
% 76.12/76.48 Resimplifying inuse:
% 76.12/76.48 Done
% 76.12/76.48
% 76.12/76.48
% 76.12/76.48 Intermediate Status:
% 76.12/76.48 Generated: 439378
% 76.12/76.48 Kept: 59397
% 76.12/76.48 Inuse: 1216
% 76.12/76.48 Deleted: 723
% 76.12/76.48 Deletedinuse: 6
% 76.12/76.48
% 76.12/76.48 Resimplifying inuse:
% 76.12/76.48 Done
% 76.12/76.48
% 76.12/76.48 Resimplifying clauses:
% 76.12/76.48 Done
% 76.12/76.48
% 76.12/76.48 Resimplifying inuse:
% 76.12/76.48 Done
% 76.12/76.48
% 76.12/76.48
% 76.12/76.48 Intermediate Status:
% 76.12/76.48 Generated: 453894
% 76.12/76.48 Kept: 61478
% 76.12/76.48 Inuse: 1246
% 76.12/76.48 Deleted: 1040
% 76.12/76.48 Deletedinuse: 6
% 76.12/76.48
% 76.12/76.48 Resimplifying inuse:
% 76.12/76.48 Done
% 76.12/76.48
% 76.12/76.48 Resimplifying inuse:
% 76.12/76.48 Done
% 76.12/76.48
% 76.12/76.48
% 76.12/76.48 Intermediate Status:
% 76.12/76.48 Generated: 468441
% 76.12/76.48 Kept: 63660
% 76.12/76.48 Inuse: 1276
% 76.12/76.48 Deleted: 1040
% 76.12/76.48 Deletedinuse: 6
% 76.12/76.48
% 76.12/76.48 Resimplifying inuse:
% 76.12/76.48 Done
% 76.12/76.48
% 76.12/76.48
% 76.12/76.48 Intermediate Status:
% 76.12/76.48 Generated: 485374
% 76.12/76.48 Kept: 65802
% 76.12/76.48 Inuse: 1301
% 76.12/76.48 Deleted: 1040
% 76.12/76.48 Deletedinuse: 6
% 76.12/76.48
% 76.12/76.48 Resimplifying inuse:
% 76.12/76.48 Done
% 76.12/76.48
% 76.12/76.48 Resimplifying inuse:
% 76.12/76.48 Done
% 76.12/76.48
% 76.12/76.48
% 76.12/76.48 Intermediate Status:
% 76.12/76.48 Generated: 501577
% 76.12/76.48 Kept: 67805
% 76.12/76.48 Inuse: 1323
% 76.12/76.48 Deleted: 1040
% 76.12/76.48 Deletedinuse: 6
% 76.12/76.48
% 76.12/76.48 Resimplifying inuse:
% 76.12/76.48 Done
% 76.12/76.48
% 76.12/76.48 Resimplifying inuse:
% 76.12/76.48 Done
% 76.12/76.48
% 76.12/76.48
% 76.12/76.48 Intermediate Status:
% 76.12/76.48 Generated: 518280
% 76.12/76.48 Kept: 69820
% 76.12/76.48 Inuse: 1351
% 76.12/76.48 Deleted: 1040
% 76.12/76.48 DCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------