%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV600-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.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 16:27:02 EDT 2022
% Result : Timeout 300.03s 300.51s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV600-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.14 % Command : bliksem %s
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Tue Jun 14 23:26:33 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.89/1.30 *** allocated 10000 integers for termspace/termends
% 0.89/1.30 *** allocated 10000 integers for clauses
% 0.89/1.30 *** allocated 10000 integers for justifications
% 0.89/1.30 *** allocated 15000 integers for termspace/termends
% 0.89/1.30 *** allocated 22500 integers for termspace/termends
% 0.89/1.30 Bliksem 1.12
% 0.89/1.30
% 0.89/1.30
% 0.89/1.30 Automatic Strategy Selection
% 0.89/1.30
% 0.89/1.30 Clauses:
% 0.89/1.30 [
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.89/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.89/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.89/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.89/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.89/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.30 , Y, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.89/1.30 , T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.89/1.30 , T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.30 , Y, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.89/1.30 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.89/1.30 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 0.89/1.30 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.89/1.30 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.89/1.30 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 0.89/1.30 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 0.89/1.30 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.89/1.30 ), X ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 0.89/1.30 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.89/1.30 ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.89/1.30 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.89/1.30 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.89/1.30 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.89/1.30 ), X ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.89/1.30 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.89/1.30 ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.89/1.30 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.30 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.30 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.89/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 0.89/1.30 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.89/1.30 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 0.89/1.30 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.30 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 0.89/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.89/1.30 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 0.89/1.30 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.30 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.89/1.30 [ ~( =( 'c_Transcendental_Opi', 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 'tc_RealDef_Oreal' ) ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.89/1.30 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 0.89/1.30 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.30 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ) ) ), =( X,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Y, Z ) ],
% 0.89/1.30 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( X, Z ) ],
% 0.89/1.30 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.89/1.30 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.89/1.30 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.89/1.30 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.89/1.30 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.89/1.30 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.89/1.30 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.89/1.30 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.89/1.30 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.30 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.89/1.30 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.89/1.30 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.89/1.30 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.89/1.30 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.89/1.30 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.89/1.30 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.89/1.30 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.89/1.30 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.89/1.30 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.89/1.30 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.89/1.30 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.89/1.30 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.89/1.30 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.89/1.30 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.89/1.30 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.89/1.30 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.89/1.30 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.89/1.30 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.89/1.30 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.89/1.30 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.89/1.30 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.89/1.30 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.89/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.89/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.89/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.89/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.89/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.89/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.89/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.89/1.30 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.89/1.30 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.89/1.30 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.89/1.30 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.89/1.30 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.89/1.30 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.89/1.30 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.89/1.30 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.30 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.89/1.30 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.30 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 X ), T, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.89/1.30 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.30 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.30 , Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.30 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.89/1.30 , T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.30 , Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.89/1.30 , T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.30 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.89/1.30 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.89/1.30 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.30 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.89/1.30 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.89/1.30 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.89/1.30 , X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.89/1.30 , X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.89/1.30 , X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.89/1.30 , X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.89/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.89/1.30 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.89/1.30 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.89/1.30 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.89/1.30 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.30 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.89/1.30 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.89/1.30 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.89/1.30 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.30 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.89/1.30 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.89/1.30 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.89/1.30 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.89/1.30 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.89/1.30 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.89/1.30 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 , X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.89/1.30 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 , X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 , X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 , X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.30 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 X ), T, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.30 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 0.89/1.30 X ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 0.89/1.30 , X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.89/1.30 ), X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 0.89/1.30 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.89/1.30 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.89/1.30 ), X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 0.89/1.30 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 0.89/1.30 Y, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ),
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.89/1.30 , T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 0.89/1.30 X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Z
% 0.89/1.30 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.89/1.30 , T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.89/1.30 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.89/1.30 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.89/1.30 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.89/1.30 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.89/1.30 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 0.89/1.30 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 0.89/1.30 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.30 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.89/1.30 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.89/1.30 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( Z,
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 0.89/1.30 , X ), X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.89/1.30 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.89/1.30 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 0.89/1.30 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.89/1.30 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.89/1.30 ), X ), Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.89/1.30 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 0.89/1.30 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 0.89/1.30 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 X ), T, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 0.89/1.30 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.30 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.89/1.30 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.89/1.30 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.89/1.30 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.89/1.30 ), X ), Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.89/1.30 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 0.89/1.30 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 0.89/1.30 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.89/1.30 ), X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 , X ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.30 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.89/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.30 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 0.89/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.89/1.30 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.89/1.30 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.89/1.30 ), X ), Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( T, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.89/1.30 , X ), X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.89/1.30 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.89/1.30 ), X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.89/1.30 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 0.89/1.30 , X ), X ), Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.89/1.30 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.89/1.30 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.89/1.30 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.89/1.30 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.89/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.89/1.30 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.89/1.30 , X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.89/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.89/1.30 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.89/1.30 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 0.89/1.30 , X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.30 , Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.89/1.30 , T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.89/1.30 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.89/1.30 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ), X ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.89/1.30 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.89/1.30 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ), X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.89/1.30 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 ) ), =( Y, Z ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 ) ), =( Y, Z ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.89/1.30 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.89/1.30 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.89/1.30 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.89/1.30 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.30 [ =( X, 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.89/1.30 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.89/1.30 ), Y ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z,
% 0.89/1.30 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.89/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.89/1.30 ), Z, 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.89/1.30 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 0.89/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.89/1.30 ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.89/1.30 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 0.89/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.89/1.30 ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 0.89/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( X,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 0.89/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.89/1.30 , U, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.89/1.30 'c_RealDef_Oreal'( X, 'tc_nat' ), 'tc_RealDef_Oreal' ) ],
% 0.89/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.89/1.30 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.30 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 0.89/1.30 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 0.89/1.30 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 0.89/1.30 ) ],
% 0.89/1.30 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 0.89/1.30 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 0.89/1.30 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ),
% 0.89/1.30 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.30 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 0.89/1.30 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 0.89/1.30 ) ],
% 0.89/1.30 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 0.89/1.30 ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 0.89/1.30 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ),
% 0.89/1.30 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.30 , T, X ) ) ), =( Y, Z ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.89/1.30 , T, X ) ) ), =( Z, T ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.30 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.30 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.89/1.30 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 0.89/1.30 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ),
% 0.89/1.30 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.30 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.89/1.30 'tc_RealDef_Oreal' ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ),
% 0.89/1.30 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.89/1.30 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.30 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.30 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.89/1.30 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.89/1.30 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.30 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.89/1.30 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.30 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi',
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.89/1.30 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.30 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.89/1.30 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.30 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.89/1.30 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.30 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.30 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.89/1.30 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.30 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.30 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.89/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.89/1.30 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ =( X, 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.89/1.30 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.89/1.30 ), Y ) ],
% 0.89/1.30 [ ~( 'c_HOL_Oord__class_Oless'( 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.89/1.30 ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.30 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.89/1.30 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.30 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.89/1.30 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 0.89/1.30 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.89/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.89/1.30 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.89/1.30 , X ), T, X ), W, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 0.89/1.30 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 0.89/1.30 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.89/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.89/1.30 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.89/1.30 , X ), W, X ), X ) ) ],
% 0.89/1.30 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 0.89/1.30 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.89/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.89/1.30 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.89/1.30 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.89/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.89/1.30 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 0.89/1.30 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.89/1.30 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.30 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.89/1.30 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.89/1.30 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.30 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.89/1.30 ), =( Z, Y ) ],
% 0.89/1.30 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 0.89/1.30 , 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_RealDef_Oreal' ),
% 0.89/1.30 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.89/1.30 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.89/1.30 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.89/1.30 ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.89/1.30 ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.89/1.30 ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.89/1.30 ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), Y, X ), Y ) ],
% 0.89/1.30 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'( Y
% 0.89/1.30 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ), Y ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( X, Y ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ), hAPP( X, Y ),
% 0.89/1.30 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 0.89/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ),
% 0.89/1.30 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ), hAPP( X, Y ),
% 0.89/1.30 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 0.89/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 0.89/1.30 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.89/1.30 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y,
% 0.89/1.30 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.89/1.30 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.89/1.30 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X,
% 0.89/1.30 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_RealDef_Oreal' ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.89/1.30 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.89/1.30 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.89/1.30 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.89/1.30 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.89/1.30 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y,
% 0.89/1.30 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.89/1.30 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.30 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 0.89/1.30 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 0.89/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~(
% 0.89/1.30 'c_lessequals'( X, 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.89/1.30 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.89/1.30 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.30 [ 'c_lessequals'( X, 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.89/1.30 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.89/1.30 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 0.89/1.30 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 0.89/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 0.89/1.30 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.30 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.89/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.89/1.30 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.89/1.30 Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.89/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.89/1.30 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 , T, X ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.89/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.89/1.30 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 , T, X ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.89/1.30 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.89/1.30 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 0.89/1.30 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 0.89/1.30 ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.89/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.89/1.30 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.89/1.30 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 0.89/1.30 ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.89/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.89/1.30 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.89/1.30 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 , Z, X ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.89/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.89/1.30 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 , Z, X ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.89/1.30 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.89/1.30 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.89/1.30 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.89/1.30 , Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.89/1.30 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.89/1.30 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.89/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.89/1.30 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 Y, T, X ), Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.89/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.89/1.30 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 Y, T, X ), Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.89/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.89/1.30 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.89/1.30 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.89/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.89/1.30 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.89/1.30 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.30 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.89/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.89/1.30 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 X ), T, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.89/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.89/1.30 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 X ), Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.89/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.89/1.30 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.89/1.30 X ), Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.89/1.30 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.89/1.30 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.89/1.30 Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.89/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 0.89/1.30 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.89/1.30 Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.89/1.30 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 0.89/1.30 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 0.89/1.30 X ), Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.89/1.30 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.89/1.30 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.89/1.30 , 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 0.89/1.30 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.89/1.30 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.89/1.30 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.89/1.30 , 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.89/1.30 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.89/1.30 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 0.89/1.30 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 0.89/1.30 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 0.89/1.30 ), 'tc_RealDef_Oreal' ) ],
% 0.89/1.30 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.89/1.30 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.89/1.30 'tc_RealDef_Oreal' ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.89/1.30 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.89/1.30 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.89/1.30 ), X ), Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.89/1.30 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 0.89/1.30 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 0.89/1.30 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 0.89/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 0.89/1.30 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.89/1.30 , T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.89/1.30 , T, X ), Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.89/1.30 , T, X ), Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.89/1.30 , T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ), T, X ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.89/1.30 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.89/1.30 ), X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.89/1.30 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.89/1.30 ), X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.89/1.30 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.89/1.30 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.89/1.30 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.30 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.89/1.30 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 0.89/1.30 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, T, X ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.89/1.30 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.89/1.30 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 0.89/1.30 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.89/1.30 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.89/1.30 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.89/1.30 ), X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.89/1.30 ), X ), Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.89/1.30 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.89/1.30 ), X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.89/1.30 ), X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.89/1.30 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.89/1.30 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.30 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.89/1.30 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.89/1.30 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.30 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.89/1.30 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.89/1.30 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.89/1.30 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.89/1.30 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 T, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.89/1.30 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.89/1.30 'c_Int_OPls' ) ), X ), Y, X ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.89/1.30 'c_Int_OPls' ) ), X ), X ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.89/1.30 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.89/1.30 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.30 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.89/1.30 X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.30 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.30 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.89/1.30 X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.30 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.30 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.89/1.30 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 0.89/1.30 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.89/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.30 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 0.89/1.30 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.89/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.30 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.30 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.30 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.30 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.30 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), =( X, Y ), ~(
% 0.89/1.30 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.30 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.30 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.89/1.30 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.30 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.30 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.89/1.30 X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.89/1.30 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.89/1.30 X ) ) ), =( Z, T ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.89/1.30 X ) ) ), =( Z, T ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.89/1.30 X ) ) ), =( Y, T ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.30 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.89/1.30 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.89/1.30 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.30 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.30 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.89/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.89/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.89/1.30 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.89/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.89/1.30 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.89/1.30 , X ), W, X ) ) ],
% 0.89/1.30 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.89/1.30 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.89/1.30 X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.89/1.30 X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.89/1.30 X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.89/1.30 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 0.89/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 0.89/1.30 W, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.89/1.30 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.89/1.30 , X ), T, X ), W, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 0.89/1.30 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 0.89/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 0.89/1.30 W, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.89/1.30 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.89/1.30 , X ), W, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.30 , Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.89/1.30 , X ) ) ],
% 0.89/1.30 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.30 , Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.30 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.30 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.89/1.30 ],
% 0.89/1.30 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal'
% 0.89/1.30 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 0.89/1.30 ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 , X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.30 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.30 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 0.89/1.30 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.89/1.30 ],
% 0.89/1.30 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 0.89/1.30 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.89/1.30 ],
% 0.89/1.30 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 0.89/1.30 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.89/1.30 ) ],
% 0.89/1.30 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 0.89/1.30 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.89/1.30 ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.30 , X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 , X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 0.89/1.30 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.89/1.30 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 0.89/1.30 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.30 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.30 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.30 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.89/1.30 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.30 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.89/1.30 X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.30 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 Z, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 Z, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.30 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.89/1.30 X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.30 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 Y, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.30 Y, T, X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.89/1.30 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y,
% 0.89/1.30 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.89/1.31 , X ) ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.31 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.89/1.31 , X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.31 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.89/1.31 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 0.89/1.31 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.31 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.31 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.31 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.89/1.31 ) ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.31 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.89/1.31 ) ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.31 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.89/1.31 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.31 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.89/1.31 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.31 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.31 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ),
% 0.89/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.89/1.31 ), 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.89/1.31 'tc_RealDef_Oreal' ) ],
% 0.89/1.31 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.31 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.31 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.31 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.89/1.31 'c_lessequals'( Z, Y, X ) ],
% 0.89/1.31 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 0.89/1.31 'tc_RealDef_Oreal' ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.31 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.31 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.31 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oinverse__class_Odivide'( X
% 0.89/1.31 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.89/1.31 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.89/1.31 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( X,
% 0.89/1.31 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.89/1.31 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.31 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( X,
% 0.89/1.31 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.89/1.31 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( X, 'c_Int_Onumber__class_Onumber__of'(
% 0.89/1.31 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 0.89/1.31 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X ) ],
% 0.89/1.31 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi',
% 0.89/1.31 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 0.89/1.31 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 0.89/1.31 'tc_RealDef_Oreal' ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 0.89/1.31 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 0.89/1.31 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.31 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.89/1.31 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.89/1.31 'c_Int_OPls' ) ), X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.31 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.89/1.31 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.89/1.31 'c_Int_OPls' ) ), X ), X ), X ) ) ],
% 0.89/1.31 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.89/1.31 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 0.89/1.31 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 0.89/1.31 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.89/1.31 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.89/1.31 [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 0.89/1.31 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.89/1.31 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'(
% 0.89/1.31 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 0.89/1.31 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 0.89/1.31 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.89/1.31 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.89/1.31 [ =( 'c_FFT__Mirabelle_Oroot'( X ), 'c_Complex_Ocis'(
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.31 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.89/1.31 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 0.89/1.31 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 0.89/1.31 'tc_RealDef_Oreal' ) ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.31 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.89/1.31 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.31 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.31 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.31 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.89/1.31 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y,
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 0.89/1.31 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.31 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.89/1.31 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 0.89/1.31 , X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 0.89/1.31 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X,
% 0.89/1.31 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.89/1.31 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 0.89/1.31 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), Z,
% 0.89/1.31 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.31 [ =( 'c_Int_OBit0'( 'c_Int_OPls' ), 'c_Int_OPls' ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.31 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.31 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 0.89/1.31 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 0.89/1.31 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.89/1.31 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.89/1.31 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.31 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.89/1.31 , Z, X ), Z, X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.89/1.31 , X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.31 'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.89/1.31 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 0.89/1.31 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.31 ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.31 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.89/1.31 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 0.89/1.31 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.31 ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.31 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.89/1.31 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.31 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ), =( Z,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( =( 'c_Int_OPls', 'c_Int_OBit1'( X ) ) ) ],
% 0.89/1.31 [ =( 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( X, Y
% 0.89/1.31 , 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, X,
% 0.89/1.31 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.31 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OPls' ) ) ],
% 0.89/1.31 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OPls' ) ), =( X, 'c_Int_OPls' ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ) ) ), =( X, Y ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.89/1.31 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 0.89/1.31 ), Y ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.89/1.31 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 0.89/1.31 ), Y ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.31 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.89/1.31 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 0.89/1.31 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( X, 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.31 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.89/1.31 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ),
% 0.89/1.31 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.31 [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 0.89/1.31 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.89/1.31 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.89/1.31 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.89/1.31 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.31 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.89/1.31 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.31 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ),
% 0.89/1.31 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ) ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.31 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.89/1.31 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 0.89/1.31 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.31 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ) ],
% 0.89/1.31 [ =( 'c_Int_OPls', 'c_Int_OBit0'( 'c_Int_OPls' ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.31 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.89/1.31 X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.89/1.31 , T, X ), Z ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.89/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.89/1.31 X ), T, X ) ) ],
% 0.89/1.31 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.89/1.31 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.89/1.31 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.89/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.89/1.31 T, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.89/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.89/1.31 X ), T, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.89/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.89/1.31 T, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.89/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.89/1.31 X ), Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.89/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.89/1.31 T, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.31 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.89/1.31 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 0.89/1.31 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.31 ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.31 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.89/1.31 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 0.89/1.31 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.31 ) ) ],
% 0.89/1.31 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.89/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.89/1.31 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.89/1.31 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.89/1.31 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.89/1.31 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.31 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 0.89/1.31 Z, X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.31 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.89/1.31 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.89/1.31 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.31 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 0.89/1.31 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.31 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.31 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.31 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( =( 'c_RealDef_Oreal'( X, 'tc_nat' ), 'c_RealDef_Oreal'( Y, 'tc_nat'
% 0.89/1.31 ) ) ), =( X, Y ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.31 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.89/1.31 X ), 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.31 , X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.31 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.89/1.31 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 0.89/1.31 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.89/1.31 ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.31 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.89/1.31 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.31 X ), 'c_HOL_Oinverse__class_Odivide'( Z,
% 0.89/1.31 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.31 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), Y
% 0.89/1.31 , X ), Y ) ],
% 0.89/1.31 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.31 Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 0.89/1.31 , X ), Y ) ],
% 0.89/1.31 [ ~( =( 'c_Int_OPls', 'c_Int_OBit0'( X ) ) ), =( 'c_Int_OPls', X ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ) ) ), =( X, Y ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.89/1.31 , Y, X ) ) ],
% 0.89/1.31 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.89/1.31 , Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 0.89/1.31 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.89/1.31 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.89/1.31 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.89/1.31 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.89/1.31 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.89/1.31 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.89/1.31 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.89/1.31 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.89/1.31 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 0.89/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.31 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ) ) ) ],
% 0.89/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.89/1.31 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.31 Y, T, X ), Z, X ) ) ],
% 0.89/1.31 [ =( 'c_Complex_Ocis'( 'c_HOL_Oinverse__class_Odivide'(
% 0.89/1.31 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 0.89/1.31 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 0.89/1.31 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'( 'v_n',
% 0.89/1.31 'tc_nat' ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.31 'tc_Complex_Ocomplex' ) ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.89/1.31 ],
% 0.89/1.31 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.89/1.31 ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.89/1.31 ],
% 0.89/1.31 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.89/1.31 'tc_Int_Oint' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.89/1.31 'tc_Int_Oint' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.89/1.31 'tc_Int_Oint' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 0.89/1.31 ],
% 0.89/1.31 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 0.89/1.31 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 0.89/1.31 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 0.89/1.31 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 0.89/1.31 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 0.89/1.31 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 0.89/1.31 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.89/1.31 'tc_RealDef_Oreal' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.89/1.31 'tc_RealDef_Oreal' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.89/1.31 'tc_RealDef_Oreal' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.89/1.31 'tc_RealDef_Oreal' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.89/1.31 'tc_RealDef_Oreal' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 0.89/1.31 ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 0.89/1.31 ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 0.89/1.31 ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 0.89/1.31 ],
% 0.89/1.31 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 0.89/1.31 ],
% 0.89/1.31 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.31 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.31 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.31 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.31 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.31 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.31 [ 'class_Int_Oring__char__0'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.31 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.31 [ 'class_Int_Onumber'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.89/1.31 'tc_Complex_Ocomplex' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.89/1.31 'tc_Complex_Ocomplex' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 0.89/1.31 ],
% 0.89/1.31 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.89/1.31 ],
% 0.89/1.31 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.89/1.31 ],
% 0.89/1.31 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.31 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.31 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.31 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.31 [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.31 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.31 [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ]
% 0.89/1.31 ] .
% 0.89/1.31
% 0.89/1.31
% 0.89/1.31 percentage equality = 0.149629, percentage horn = 0.825000
% 3.28/3.66 This is a problem with some equality
% 3.28/3.66
% 3.28/3.66
% 3.28/3.66
% 3.28/3.66 Options Used:
% 3.28/3.66
% 3.28/3.66 useres = 1
% 3.28/3.66 useparamod = 1
% 3.28/3.66 useeqrefl = 1
% 3.28/3.66 useeqfact = 1
% 3.28/3.66 usefactor = 1
% 3.28/3.66 usesimpsplitting = 0
% 3.28/3.66 usesimpdemod = 5
% 3.28/3.66 usesimpres = 3
% 3.28/3.66
% 3.28/3.66 resimpinuse = 1000
% 3.28/3.66 resimpclauses = 20000
% 3.28/3.66 substype = eqrewr
% 3.28/3.66 backwardsubs = 1
% 3.28/3.66 selectoldest = 5
% 3.28/3.66
% 3.28/3.66 litorderings [0] = split
% 3.28/3.66 litorderings [1] = extend the termordering, first sorting on arguments
% 3.28/3.66
% 3.28/3.66 termordering = kbo
% 3.28/3.66
% 3.28/3.66 litapriori = 0
% 3.28/3.66 termapriori = 1
% 3.28/3.66 litaposteriori = 0
% 3.28/3.66 termaposteriori = 0
% 3.28/3.66 demodaposteriori = 0
% 3.28/3.66 ordereqreflfact = 0
% 3.28/3.66
% 3.28/3.66 litselect = negord
% 3.28/3.66
% 3.28/3.66 maxweight = 15
% 3.28/3.66 maxdepth = 30000
% 3.28/3.66 maxlength = 115
% 3.28/3.66 maxnrvars = 195
% 3.28/3.66 excuselevel = 1
% 3.28/3.66 increasemaxweight = 1
% 3.28/3.66
% 3.28/3.66 maxselected = 10000000
% 3.28/3.66 maxnrclauses = 10000000
% 3.28/3.66
% 3.28/3.66 showgenerated = 0
% 3.28/3.66 showkept = 0
% 3.28/3.66 showselected = 0
% 3.28/3.66 showdeleted = 0
% 3.28/3.66 showresimp = 1
% 3.28/3.66 showstatus = 2000
% 3.28/3.66
% 3.28/3.66 prologoutput = 1
% 3.28/3.66 nrgoals = 5000000
% 3.28/3.66 totalproof = 1
% 3.28/3.66
% 3.28/3.66 Symbols occurring in the translation:
% 3.28/3.66
% 3.28/3.66 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.28/3.66 . [1, 2] (w:1, o:106, a:1, s:1, b:0),
% 3.28/3.66 ! [4, 1] (w:0, o:50, a:1, s:1, b:0),
% 3.28/3.66 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.28/3.66 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.28/3.66 'class_Ring__and__Field_Oordered__ring__strict' [40, 1] (w:1, o:56
% 3.28/3.66 , a:1, s:1, b:0),
% 3.28/3.66 'c_HOL_Otimes__class_Otimes' [43, 3] (w:1, o:134, a:1, s:1, b:0),
% 3.28/3.66 'c_HOL_Ozero__class_Ozero' [44, 1] (w:1, o:57, a:1, s:1, b:0),
% 3.28/3.66 'c_lessequals' [45, 3] (w:1, o:135, a:1, s:1, b:0),
% 3.28/3.66 'class_Ring__and__Field_Opordered__cancel__semiring' [46, 1] (w:1, o:
% 3.28/3.66 64, a:1, s:1, b:0),
% 3.28/3.66 'c_HOL_Oplus__class_Oplus' [47, 3] (w:1, o:137, a:1, s:1, b:0),
% 3.28/3.66 'c_HOL_Oord__class_Oless' [48, 3] (w:1, o:136, a:1, s:1, b:0),
% 3.28/3.66 'class_Ring__and__Field_Oordered__field' [50, 1] (w:1, o:58, a:1, s:1
% 3.28/3.66 , b:0),
% 3.28/3.66 'class_Ring__and__Field_Odivision__by__zero' [51, 1] (w:1, o:67, a:1
% 3.28/3.66 , s:1, b:0),
% 3.28/3.66 'class_Int_Onumber' [52, 1] (w:1, o:68, a:1, s:1, b:0),
% 3.28/3.66 'c_HOL_Oinverse__class_Odivide' [53, 3] (w:1, o:138, a:1, s:1, b:0),
% 3.28/3.66
% 3.28/3.66 'c_Int_Onumber__class_Onumber__of' [55, 2] (w:1, o:131, a:1, s:1, b:0
% 3.28/3.66 ),
% 3.28/3.66 'c_Transcendental_Opi' [59, 0] (w:1, o:25, a:1, s:1, b:0),
% 3.28/3.66 'tc_RealDef_Oreal' [60, 0] (w:1, o:26, a:1, s:1, b:0),
% 3.28/3.66 'class_RealVector_Oreal__normed__field' [63, 1] (w:1, o:69, a:1, s:1
% 3.28/3.66 , b:0),
% 3.28/3.66 'class_Ring__and__Field_Ofield' [65, 1] (w:1, o:70, a:1, s:1, b:0),
% 3.28/3.66 'c_HOL_Ominus__class_Ominus' [66, 3] (w:1, o:139, a:1, s:1, b:0),
% 3.28/3.66 'class_RealVector_Oreal__field' [67, 1] (w:1, o:71, a:1, s:1, b:0),
% 3.28/3.66 'class_RealVector_Oreal__normed__algebra' [70, 1] (w:1, o:72, a:1, s:
% 3.28/3.66 1, b:0),
% 3.28/3.66 'class_Ring__and__Field_Osemiring' [74, 1] (w:1, o:75, a:1, s:1, b:0)
% 3.28/3.66 ,
% 3.28/3.66 'class_Ring__and__Field_Oidom' [76, 1] (w:1, o:76, a:1, s:1, b:0),
% 3.28/3.66 'class_Int_Onumber__ring' [77, 1] (w:1, o:77, a:1, s:1, b:0),
% 3.28/3.66 'class_Ring__and__Field_Ocomm__semiring__1' [78, 1] (w:1, o:65, a:1
% 3.28/3.66 , s:1, b:0),
% 3.28/3.66 'class_Ring__and__Field_Ocomm__semiring' [79, 1] (w:1, o:66, a:1, s:1
% 3.28/3.66 , b:0),
% 3.28/3.66 'class_Ring__and__Field_Oordered__semiring__strict' [81, 1] (w:1, o:
% 3.28/3.66 59, a:1, s:1, b:0),
% 3.28/3.66 'class_Ring__and__Field_Oordered__semiring' [82, 1] (w:1, o:60, a:1
% 3.28/3.66 , s:1, b:0),
% 3.28/3.66 'class_Ring__and__Field_Opordered__semiring' [83, 1] (w:1, o:79, a:1
% 3.28/3.66 , s:1, b:0),
% 3.28/3.66 'class_Ring__and__Field_Opordered__ring' [84, 1] (w:1, o:78, a:1, s:1
% 3.28/3.66 , b:0),
% 3.28/3.66 'class_Ring__and__Field_Omult__mono' [86, 1] (w:1, o:80, a:1, s:1, b:
% 3.28/3.66 0),
% 3.28/3.66 'class_Ring__and__Field_Omult__mono1' [87, 1] (w:1, o:81, a:1, s:1
% 3.28/3.66 , b:0),
% 3.28/3.66 'class_Ring__and__Field_Oordered__comm__semiring__strict' [88, 1] (w:
% 3.28/3.66 1, o:61, a:1, s:1, b:0),
% 3.28/3.66 'class_Ring__and__Field_Oring' [90, 1] (w:1, o:73, a:1, s:1, b:0),
% 3.28/3.66 'class_OrderedGroup_Ocomm__monoid__add' [91, 1] (w:1, o:82, a:1, s:1
% 3.28/3.66 , b:0),
% 3.28/3.66 'class_OrderedGroup_Omonoid__add' [92, 1] (w:1, o:84, a:1, s:1, b:0)
% 3.28/3.66 ,
% 3.28/3.66 'class_OrderedGroup_Ogroup__add' [93, 1] (w:1, o:85, a:1, s:1, b:0),
% 19.23/19.64
% 19.23/19.64 'class_OrderedGroup_Oab__group__add' [94, 1] (w:1, o:86, a:1, s:1, b:
% 19.23/19.64 0),
% 19.23/19.64 'class_OrderedGroup_Olordered__ab__group__add' [95, 1] (w:1, o:83, a:
% 19.23/19.64 1, s:1, b:0),
% 19.23/19.64 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [96, 1]
% 19.23/19.64 (w:1, o:87, a:1, s:1, b:0),
% 19.23/19.64 'class_OrderedGroup_Opordered__comm__monoid__add' [97, 1] (w:1, o:88
% 19.23/19.64 , a:1, s:1, b:0),
% 19.23/19.64 'tc_nat' [99, 0] (w:1, o:38, a:1, s:1, b:0),
% 19.23/19.64 'c_RealDef_Oreal' [100, 2] (w:1, o:132, a:1, s:1, b:0),
% 19.23/19.64 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [103, 1]
% 19.23/19.64 (w:1, o:89, a:1, s:1, b:0),
% 19.23/19.64 'class_Orderings_Olinorder' [104, 1] (w:1, o:90, a:1, s:1, b:0),
% 19.23/19.64 'class_Orderings_Opreorder' [105, 1] (w:1, o:92, a:1, s:1, b:0),
% 19.23/19.64 'class_OrderedGroup_Oab__semigroup__add' [106, 1] (w:1, o:93, a:1, s:
% 19.23/19.64 1, b:0),
% 19.23/19.64 'class_Orderings_Oorder' [107, 1] (w:1, o:91, a:1, s:1, b:0),
% 19.23/19.64 'class_Ring__and__Field_Oordered__idom' [108, 1] (w:1, o:62, a:1, s:1
% 19.23/19.64 , b:0),
% 19.23/19.64 'c_Int_OPls' [109, 0] (w:1, o:39, a:1, s:1, b:0),
% 19.23/19.64 hAPP [111, 2] (w:1, o:133, a:1, s:1, b:0),
% 19.23/19.64 'c_Int_OBit1' [112, 1] (w:1, o:95, a:1, s:1, b:0),
% 19.23/19.64 'c_Int_OBit0' [113, 1] (w:1, o:94, a:1, s:1, b:0),
% 19.23/19.64 'class_OrderedGroup_Opordered__ab__semigroup__add' [114, 1] (w:1, o:
% 19.23/19.64 96, a:1, s:1, b:0),
% 19.23/19.64 'class_Ring__and__Field_Oordered__semidom' [115, 1] (w:1, o:63, a:1
% 19.23/19.64 , s:1, b:0),
% 19.23/19.64 'class_OrderedGroup_Opordered__ab__group__add' [116, 1] (w:1, o:97
% 19.23/19.64 , a:1, s:1, b:0),
% 19.23/19.64 'class_OrderedGroup_Ocancel__ab__semigroup__add' [117, 1] (w:1, o:98
% 19.23/19.64 , a:1, s:1, b:0),
% 19.23/19.64 'class_OrderedGroup_Ocancel__semigroup__add' [118, 1] (w:1, o:99, a:1
% 19.23/19.64 , s:1, b:0),
% 19.23/19.64 'c_FFT__Mirabelle_Oroot' [123, 1] (w:1, o:100, a:1, s:1, b:0),
% 19.23/19.64 'c_Complex_Ocis' [124, 1] (w:1, o:101, a:1, s:1, b:0),
% 19.23/19.64 'class_Ring__and__Field_Oring__no__zero__divisors' [125, 1] (w:1, o:
% 19.23/19.64 74, a:1, s:1, b:0),
% 19.23/19.64 'class_Ring__and__Field_Omult__zero' [126, 1] (w:1, o:102, a:1, s:1
% 19.23/19.64 , b:0),
% 19.23/19.64 'class_OrderedGroup_Oab__semigroup__mult' [133, 1] (w:1, o:103, a:1
% 19.23/19.64 , s:1, b:0),
% 19.23/19.64 'class_OrderedGroup_Oab__semigroup__idem__mult' [134, 1] (w:1, o:104
% 19.23/19.64 , a:1, s:1, b:0),
% 19.23/19.64 'class_Ring__and__Field_Ono__zero__divisors' [135, 1] (w:1, o:55, a:1
% 19.23/19.64 , s:1, b:0),
% 19.23/19.64 'class_Int_Oring__char__0' [136, 1] (w:1, o:105, a:1, s:1, b:0),
% 19.23/19.64 'v_n' [137, 0] (w:1, o:47, a:1, s:1, b:0),
% 19.23/19.64 'tc_Complex_Ocomplex' [138, 0] (w:1, o:48, a:1, s:1, b:0),
% 19.23/19.64 'tc_Int_Oint' [139, 0] (w:1, o:49, a:1, s:1, b:0).
% 19.23/19.64
% 19.23/19.64
% 19.23/19.64 Starting Search:
% 19.23/19.64
% 19.23/19.64 Resimplifying inuse:
% 19.23/19.64 Done
% 19.23/19.64
% 19.23/19.64
% 19.23/19.64 Intermediate Status:
% 19.23/19.64 Generated: 6489
% 19.23/19.64 Kept: 2328
% 19.23/19.64 Inuse: 181
% 19.23/19.64 Deleted: 10
% 19.23/19.64 Deletedinuse: 0
% 19.23/19.64
% 19.23/19.64 Resimplifying inuse:
% 19.23/19.64 Done
% 19.23/19.64
% 19.23/19.64 Resimplifying inuse:
% 19.23/19.64 Done
% 19.23/19.64
% 19.23/19.64
% 19.23/19.64 Intermediate Status:
% 19.23/19.64 Generated: 21125
% 19.23/19.64 Kept: 4973
% 19.23/19.64 Inuse: 321
% 19.23/19.64 Deleted: 10
% 19.23/19.64 Deletedinuse: 0
% 19.23/19.64
% 19.23/19.64 Resimplifying inuse:
% 19.23/19.64 Done
% 19.23/19.64
% 19.23/19.64 Resimplifying inuse:
% 19.23/19.64 Done
% 19.23/19.64
% 19.23/19.64
% 19.23/19.64 Intermediate Status:
% 19.23/19.64 Generated: 29264
% 19.23/19.64 Kept: 7048
% 19.23/19.64 Inuse: 356
% 19.23/19.64 Deleted: 10
% 19.23/19.64 Deletedinuse: 0
% 19.23/19.64
% 19.23/19.64 Resimplifying inuse:
% 19.23/19.64 Done
% 19.23/19.64
% 19.23/19.64 Resimplifying inuse:
% 19.23/19.64 Done
% 19.23/19.64
% 19.23/19.64
% 19.23/19.64 Intermediate Status:
% 19.23/19.64 Generated: 40280
% 19.23/19.64 Kept: 9073
% 19.23/19.64 Inuse: 436
% 19.23/19.64 Deleted: 10
% 19.23/19.64 Deletedinuse: 0
% 19.23/19.64
% 19.23/19.64 Resimplifying inuse:
% 19.23/19.64 Done
% 19.23/19.64
% 19.23/19.64 Resimplifying inuse:
% 19.23/19.64 Done
% 19.23/19.64
% 19.23/19.64
% 19.23/19.64 Intermediate Status:
% 19.23/19.64 Generated: 57595
% 19.23/19.64 Kept: 11777
% 19.23/19.64 Inuse: 481
% 19.23/19.64 Deleted: 12
% 19.23/19.64 Deletedinuse: 2
% 19.23/19.64
% 19.23/19.64 Resimplifying inuse:
% 19.23/19.64 Done
% 19.23/19.64
% 19.23/19.64 Resimplifying inuse:
% 19.23/19.64 Done
% 19.23/19.64
% 19.23/19.64
% 19.23/19.64 Intermediate Status:
% 19.23/19.64 Generated: 71645
% 19.23/19.64 Kept: 15362
% 19.23/19.64 Inuse: 535
% 19.23/19.64 Deleted: 14
% 19.23/19.64 Deletedinuse: 2
% 19.23/19.64
% 19.23/19.64 Resimplifying inuse:
% 19.23/19.64 Done
% 19.23/19.64
% 19.23/19.64 Resimplifying inuse:
% 19.23/19.64 Done
% 19.23/19.64
% 19.23/19.64
% 19.23/19.64 Intermediate Status:
% 19.23/19.64 Generated: 80859
% 19.23/19.64 Kept: 17384
% 19.23/19.64 Inuse: 599
% 19.23/19.64 Deleted: 14
% 19.23/19.64 Deletedinuse: 2
% 19.23/19.64
% 19.23/19.64 Resimplifying inuse:
% 19.23/19.64 Done
% 19.23/19.64
% 19.23/19.64 Resimplifying inuse:
% 19.23/19.64 Done
% 19.23/19.64
% 19.23/19.64
% 19.23/19.64 Intermediate Status:
% 19.23/19.64 Generated: 91882
% 19.23/19.64 Kept: 19412
% 19.23/19.64 Inuse: 672
% 19.23/19.64 Deleted: 16
% 19.23/19.64 Deletedinuse: 2
% 19.23/19.64
% 19.23/19.64 Resimplifying inuse:
% 19.23/19.64 Done
% 19.23/19.64
% 19.23/19.64 Resimplifying clauses:
% 19.23/19.64 Done
% 19.23/19.64
% 19.23/19.64 Resimplifying inuse:
% 19.23/19.64 Done
% 19.23/19.64
% 19.23/19.64
% 19.23/19.64 Intermediate Status:
% 19.23/19.64 Generated: 106721
% 19.23/19.64 Kept: 22630
% 19.23/19.64 Inuse: 713
% 19.23/19.64 Deleted: 589
% 61.04/61.46 Deletedinuse: 2
% 61.04/61.46
% 61.04/61.46 Resimplifying inuse:
% 61.04/61.46 Done
% 61.04/61.46
% 61.04/61.46 Resimplifying inuse:
% 61.04/61.46 Done
% 61.04/61.46
% 61.04/61.46
% 61.04/61.46 Intermediate Status:
% 61.04/61.46 Generated: 116670
% 61.04/61.46 Kept: 24665
% 61.04/61.46 Inuse: 760
% 61.04/61.46 Deleted: 589
% 61.04/61.46 Deletedinuse: 2
% 61.04/61.46
% 61.04/61.46 Resimplifying inuse:
% 61.04/61.46 Done
% 61.04/61.46
% 61.04/61.46 Resimplifying inuse:
% 61.04/61.46 Done
% 61.04/61.46
% 61.04/61.46
% 61.04/61.46 Intermediate Status:
% 61.04/61.46 Generated: 132430
% 61.04/61.46 Kept: 29144
% 61.04/61.46 Inuse: 795
% 61.04/61.46 Deleted: 589
% 61.04/61.46 Deletedinuse: 2
% 61.04/61.46
% 61.04/61.46 Resimplifying inuse:
% 61.04/61.46 Done
% 61.04/61.46
% 61.04/61.46
% 61.04/61.46 Intermediate Status:
% 61.04/61.46 Generated: 139301
% 61.04/61.46 Kept: 31906
% 61.04/61.46 Inuse: 800
% 61.04/61.46 Deleted: 589
% 61.04/61.46 Deletedinuse: 2
% 61.04/61.46
% 61.04/61.46 Resimplifying inuse:
% 61.04/61.46 Done
% 61.04/61.46
% 61.04/61.46 Resimplifying inuse:
% 61.04/61.46 Done
% 61.04/61.46
% 61.04/61.46
% 61.04/61.46 Intermediate Status:
% 61.04/61.46 Generated: 150381
% 61.04/61.46 Kept: 33906
% 61.04/61.46 Inuse: 835
% 61.04/61.46 Deleted: 589
% 61.04/61.46 Deletedinuse: 2
% 61.04/61.46
% 61.04/61.46 Resimplifying inuse:
% 61.04/61.46 Done
% 61.04/61.46
% 61.04/61.46 Resimplifying inuse:
% 61.04/61.46 Done
% 61.04/61.46
% 61.04/61.46
% 61.04/61.46 Intermediate Status:
% 61.04/61.46 Generated: 162598
% 61.04/61.46 Kept: 36545
% 61.04/61.46 Inuse: 875
% 61.04/61.46 Deleted: 589
% 61.04/61.46 Deletedinuse: 2
% 61.04/61.46
% 61.04/61.46 Resimplifying inuse:
% 61.04/61.46 Done
% 61.04/61.46
% 61.04/61.46 Resimplifying inuse:
% 61.04/61.46 Done
% 61.04/61.46
% 61.04/61.46
% 61.04/61.46 Intermediate Status:
% 61.04/61.46 Generated: 176896
% 61.04/61.46 Kept: 40040
% 61.04/61.46 Inuse: 907
% 61.04/61.46 Deleted: 589
% 61.04/61.46 Deletedinuse: 2
% 61.04/61.46
% 61.04/61.46 Resimplifying inuse:
% 61.04/61.46 Done
% 61.04/61.46
% 61.04/61.46 Resimplifying clauses:
% 61.04/61.46 Done
% 61.04/61.46
% 61.04/61.46 Resimplifying inuse:
% 61.04/61.46 Done
% 61.04/61.46
% 61.04/61.46
% 61.04/61.46 Intermediate Status:
% 61.04/61.46 Generated: 186787
% 61.04/61.46 Kept: 42051
% 61.04/61.46 Inuse: 942
% 61.04/61.46 Deleted: 1044
% 61.04/61.46 Deletedinuse: 3
% 61.04/61.46
% 61.04/61.46 Resimplifying inuse:
% 61.04/61.46 Done
% 61.04/61.46
% 61.04/61.46 Resimplifying inuse:
% 61.04/61.46 Done
% 61.04/61.46
% 61.04/61.46
% 61.04/61.46 Intermediate Status:
% 61.04/61.46 Generated: 202172
% 61.04/61.46 Kept: 44171
% 61.04/61.46 Inuse: 1010
% 61.04/61.46 Deleted: 1044
% 61.04/61.46 Deletedinuse: 3
% 61.04/61.46
% 61.04/61.46 Resimplifying inuse:
% 61.04/61.46 Done
% 61.04/61.46
% 61.04/61.46 Resimplifying inuse:
% 61.04/61.46 Done
% 61.04/61.46
% 61.04/61.46
% 61.04/61.46 Intermediate Status:
% 61.04/61.46 Generated: 210366
% 61.04/61.46 Kept: 46324
% 61.04/61.46 Inuse: 1040
% 61.04/61.46 Deleted: 1044
% 61.04/61.46 Deletedinuse: 3
% 61.04/61.46
% 61.04/61.46 Resimplifying inuse:
% 61.04/61.46 Done
% 61.04/61.46
% 61.04/61.46 Resimplifying inuse:
% 61.04/61.46 Done
% 61.04/61.46
% 61.04/61.46
% 61.04/61.46 Intermediate Status:
% 61.04/61.46 Generated: 226312
% 61.04/61.46 Kept: 48647
% 61.04/61.46 Inuse: 1055
% 61.04/61.46 Deleted: 1044
% 61.04/61.46 Deletedinuse: 3
% 61.04/61.46
% 61.04/61.46 Resimplifying inuse:
% 61.04/61.46 Done
% 61.04/61.46
% 61.04/61.46 Resimplifying inuse:
% 61.04/61.46 Done
% 61.04/61.46
% 61.04/61.46
% 61.04/61.46 Intermediate Status:
% 61.04/61.46 Generated: 248928
% 61.04/61.46 Kept: 53043
% 61.04/61.46 Inuse: 1095
% 61.04/61.46 Deleted: 1044
% 61.04/61.46 Deletedinuse: 3
% 61.04/61.46
% 61.04/61.46 Resimplifying inuse:
% 61.04/61.46 Done
% 61.04/61.46
% 61.04/61.46
% 61.04/61.46 Intermediate Status:
% 61.04/61.46 Generated: 263388
% 61.04/61.46 Kept: 55640
% 61.04/61.46 Inuse: 1101
% 61.04/61.46 Deleted: 1044
% 61.04/61.46 Deletedinuse: 3
% 61.04/61.46
% 61.04/61.46 Resimplifying inuse:
% 61.04/61.46 Done
% 61.04/61.46
% 61.04/61.46 Resimplifying inuse:
% 61.04/61.46 Done
% 61.04/61.46
% 61.04/61.46
% 61.04/61.46 Intermediate Status:
% 61.04/61.46 Generated: 284697
% 61.04/61.46 Kept: 57645
% 61.04/61.46 Inuse: 1116
% 61.04/61.46 Deleted: 1044
% 61.04/61.46 Deletedinuse: 3
% 61.04/61.46
% 61.04/61.46 Resimplifying inuse:
% 61.04/61.46 Done
% 61.04/61.46
% 61.04/61.46 Resimplifying inuse:
% 61.04/61.46 Done
% 61.04/61.46
% 61.04/61.46
% 61.04/61.46 Intermediate Status:
% 61.04/61.46 Generated: 295570
% 61.04/61.46 Kept: 59829
% 61.04/61.46 Inuse: 1145
% 61.04/61.46 Deleted: 1044
% 61.04/61.46 Deletedinuse: 3
% 61.04/61.46
% 61.04/61.46 Resimplifying clauses:
% 61.04/61.46 Done
% 61.04/61.46
% 61.04/61.46 Resimplifying inuse:
% 61.04/61.46 Done
% 61.04/61.46
% 61.04/61.46 Resimplifying inuse:
% 61.04/61.46 Done
% 61.04/61.46
% 61.04/61.46
% 61.04/61.46 Intermediate Status:
% 61.04/61.46 Generated: 306304
% 61.04/61.46 Kept: 61832
% 61.04/61.46 Inuse: 1174
% 61.04/61.46 Deleted: 2006
% 61.04/61.46 Deletedinuse: 5
% 61.04/61.46
% 61.04/61.46 Resimplifying inuse:
% 61.04/61.46 Done
% 61.04/61.46
% 61.04/61.46
% 61.04/61.46 Intermediate Status:
% 61.04/61.46 Generated: 317423
% 61.04/61.46 Kept: 63971
% 61.04/61.46 Inuse: 1200
% 61.04/61.46 Deleted: 2006
% 61.04/61.46 Deletedinuse: 5
% 61.04/61.46
% 61.04/61.46 Resimplifying inuse:
% 61.04/61.46 Done
% 61.04/61.46
% 61.04/61.46 Resimplifying inuse:
% 61.04/61.46 Done
% 61.04/61.46
% 61.04/61.46
% 61.04/61.46 Intermediate Status:
% 61.04/61.46 Generated: 329041
% 61.04/61.46 Kept: 66113
% 61.04/61.46 Inuse: 1230
% 61.04/61.46 Deleted: 2006
% 61.04/61.46 Deletedinuse: 5
% 61.04/61.46
% 61.04/61.46 Resimplifying inuse:
% 61.04/61.46 Done
% 61.04/61.46
% 61.04/61.46 Resimplifying inuse:
% 61.04/61.46 Done
% 61.04/61.46
% 61.04/61.46
% 61.04/61.46 Intermediate Status:
% 61.04/61.46 Generated: 353370
% 61.04/61.46 Kept: 69316
% 61.04/61.46 Inuse: 1245
% 61.04/61.46 Deleted: 2006
% 61.04/61.46 Deletedinuse: 5
% 61.04/61.47
% 61.04/61.47 Resimplifying inuse:
% 61.04/61.47 Done
% 61.04/61.47
% 61.04/61.47 Resimplifying inuse:
% 61.04/61.47 Done
% 61.04/61.47
% 61.04/61.47
% 61.04/61.47 Intermediate Status:
% 61.04/61.47 Generated: 363261
% 61.04/61.47 Kept: 71326
% 61.04/61.47 Inuse: 1269
% 61.04/61.47 Deleted: 2006
% 61.04/61.47 Deletedinuse: 5
% 61.04/61.47
% 61.04/61.47 Resimplifying inuse:
% 61.04/61.47 Done
% 61.04/61.47
% 61.04/61.47 Resimplifying inuse:
% 61.04/61.47 Done
% 61.04/61.47
% 61.04/61.47
% 61.04/61.47 Intermediate Status:
% 61.04/61.47 Generated: 379536
% 61.04/61.47 Kept: 74516
% 61.04/61.47 Inuse: 1290
% 61.04/61.47 Deleted: 2006
% 61.04/61.47 Deletedinuse: 5
% 61.04/61.47
% 61.04/61.47 Resimplifying inuse:
% 61.04/61.47 Done
% 61.04/61.47
% 61.04/61.47 Resimplifying inuse:
% 61.04/61.47 Done
% 61.04/61.47
% 61.04/61.47
% 61.04/61.47 Intermediate Status:
% 61.04/61.47 Generated: 397044
% 61.04/61.47 Kept: 77493
% 61.04/61.47 Inuse: 1307
% 61.04/61.47 Deleted: 2006
% 61.04/61.47 Deletedinuse: 5
% 61.04/61.47
% 61.04/61.47 Resimplifying inuse:
% 61.04/61.47 Done
% 61.04/61.47
% 61.04/61.47
% 61.04/61.47 Intermediate Status:
% 61.04/61.47 Generated: 422940
% 61.04/61.47 Kept: 80636
% 61.04/61.47 Inuse: 1320
% 61.04/61.47 Deleted: 2006
% 61.04/61.47 Deletedinuse: 5
% 61.04/61.47
% 61.04/61.47 Resimplifying inuse:
% 61.04/61.47 Done
% 61.04/61.47
% 61.04/61.47 Resimplifying clauses:
% 61.04/61.47 Done
% 61.04/61.47
% 61.04/61.47 Resimplifying inuse:
% 61.04/61.47 Done
% 61.04/61.47
% 61.04/61.47
% 61.04/61.47 Intermediate Status:
% 61.04/61.47 Generated: 431854
% 61.04/61.47 Kept: 82642
% 61.04/61.47 Inuse: 1341
% 61.04/61.47 Deleted: 2846
% 61.04/61.47 Deletedinuse: 5
% 61.04/61.47
% 61.04/61.47 Resimplifying inuse:
% 61.04/61.47 Done
% 61.04/61.47
% 61.04/61.47 Resimplifying inuse:
% 61.04/61.47 Done
% 61.04/61.47
% 61.04/61.47
% 61.04/61.47 Intermediate Status:
% 61.04/61.47 Generated: 443211
% 61.04/61.47 Kept: 84980
% 61.04/61.47 Inuse: 1365
% 61.04/61.47 Deleted: 2846
% 231.66/232.12 Deletedinuse: 5
% 231.66/232.12
% 231.66/232.12 Resimplifying inuse:
% 231.66/232.12 Done
% 231.66/232.12
% 231.66/232.12 Resimplifying inuse:
% 231.66/232.12 Done
% 231.66/232.12
% 231.66/232.12
% 231.66/232.12 Intermediate Status:
% 231.66/232.12 Generated: 452855
% 231.66/232.12 Kept: 86995
% 231.66/232.12 Inuse: 1391
% 231.66/232.12 Deleted: 2846
% 231.66/232.12 Deletedinuse: 5
% 231.66/232.12
% 231.66/232.12 Resimplifying inuse:
% 231.66/232.12 Done
% 231.66/232.12
% 231.66/232.12
% 231.66/232.12 Intermediate Status:
% 231.66/232.12 Generated: 466792
% 231.66/232.12 Kept: 89461
% 231.66/232.12 Inuse: 1410
% 231.66/232.12 Deleted: 2846
% 231.66/232.12 Deletedinuse: 5
% 231.66/232.12
% 231.66/232.12 Resimplifying inuse:
% 231.66/232.12 Done
% 231.66/232.12
% 231.66/232.12 Resimplifying inuse:
% 231.66/232.12 Done
% 231.66/232.12
% 231.66/232.12
% 231.66/232.12 Intermediate Status:
% 231.66/232.12 Generated: 485052
% 231.66/232.12 Kept: 91772
% 231.66/232.12 Inuse: 1425
% 231.66/232.12 Deleted: 2846
% 231.66/232.12 Deletedinuse: 5
% 231.66/232.12
% 231.66/232.12 Resimplifying inuse:
% 231.66/232.12 Done
% 231.66/232.12
% 231.66/232.12
% 231.66/232.12 Intermediate Status:
% 231.66/232.12 Generated: 497929
% 231.66/232.12 Kept: 93914
% 231.66/232.12 Inuse: 1428
% 231.66/232.12 Deleted: 2853
% 231.66/232.12 Deletedinuse: 10
% 231.66/232.12
% 231.66/232.12 Resimplifying inuse:
% 231.66/232.12 Done
% 231.66/232.12
% 231.66/232.12
% 231.66/232.12 Intermediate Status:
% 231.66/232.12 Generated: 512953
% 231.66/232.12 Kept: 100255
% 231.66/232.12 Inuse: 1430
% 231.66/232.12 Deleted: 2856
% 231.66/232.12 Deletedinuse: 10
% 231.66/232.12
% 231.66/232.12 Resimplifying inuse:
% 231.66/232.12 Done
% 231.66/232.12
% 231.66/232.12
% 231.66/232.12 Intermediate Status:
% 231.66/232.12 Generated: 526361
% 231.66/232.12 Kept: 102351
% 231.66/232.12 Inuse: 1434
% 231.66/232.12 Deleted: 2857
% 231.66/232.12 Deletedinuse: 10
% 231.66/232.12
% 231.66/232.12 Resimplifying inuse:
% 231.66/232.12 Done
% 231.66/232.12
% 231.66/232.12 Resimplifying clauses:
% 231.66/232.12 Done
% 231.66/232.12
% 231.66/232.12 Resimplifying inuse:
% 231.66/232.12 Done
% 231.66/232.12
% 231.66/232.12
% 231.66/232.12 Intermediate Status:
% 231.66/232.12 Generated: 546353
% 231.66/232.12 Kept: 104401
% 231.66/232.12 Inuse: 1454
% 231.66/232.12 Deleted: 3601
% 231.66/232.12 Deletedinuse: 10
% 231.66/232.12
% 231.66/232.12 Resimplifying inuse:
% 231.66/232.12 Done
% 231.66/232.12
% 231.66/232.12 Resimplifying inuse:
% 231.66/232.12 Done
% 231.66/232.12
% 231.66/232.12
% 231.66/232.12 Intermediate Status:
% 231.66/232.12 Generated: 574083
% 231.66/232.12 Kept: 107146
% 231.66/232.12 Inuse: 1464
% 231.66/232.12 Deleted: 3601
% 231.66/232.12 Deletedinuse: 10
% 231.66/232.12
% 231.66/232.12 Resimplifying inuse:
% 231.66/232.12 Done
% 231.66/232.12
% 231.66/232.12 Resimplifying inuse:
% 231.66/232.12 Done
% 231.66/232.12
% 231.66/232.12
% 231.66/232.12 Intermediate Status:
% 231.66/232.12 Generated: 592876
% 231.66/232.12 Kept: 109463
% 231.66/232.12 Inuse: 1479
% 231.66/232.12 Deleted: 3601
% 231.66/232.12 Deletedinuse: 10
% 231.66/232.12
% 231.66/232.12 Resimplifying inuse:
% 231.66/232.12 Done
% 231.66/232.12
% 231.66/232.12 Resimplifying inuse:
% 231.66/232.12 Done
% 231.66/232.12
% 231.66/232.12
% 231.66/232.12 Intermediate Status:
% 231.66/232.12 Generated: 607121
% 231.66/232.12 Kept: 111807
% 231.66/232.12 Inuse: 1494
% 231.66/232.12 Deleted: 3601
% 231.66/232.12 Deletedinuse: 10
% 231.66/232.12
% 231.66/232.12 Resimplifying inuse:
% 231.66/232.12 Done
% 231.66/232.12
% 231.66/232.12 Resimplifying inuse:
% 231.66/232.12 Done
% 231.66/232.12
% 231.66/232.12
% 231.66/232.12 Intermediate Status:
% 231.66/232.12 Generated: 624766
% 231.66/232.12 Kept: 114699
% 231.66/232.12 Inuse: 1514
% 231.66/232.12 Deleted: 3601
% 231.66/232.12 Deletedinuse: 10
% 231.66/232.12
% 231.66/232.12 Resimplifying inuse:
% 231.66/232.12 Done
% 231.66/232.12
% 231.66/232.12
% 231.66/232.12 Intermediate Status:
% 231.66/232.12 Generated: 631868
% 231.66/232.12 Kept: 116767
% 231.66/232.12 Inuse: 1517
% 231.66/232.12 Deleted: 3601
% 231.66/232.12 Deletedinuse: 10
% 231.66/232.12
% 231.66/232.12 Resimplifying inuse:
% 231.66/232.12 Done
% 231.66/232.12
% 231.66/232.12 Resimplifying inuse:
% 231.66/232.12 Done
% 231.66/232.12
% 231.66/232.12
% 231.66/232.12 Intermediate Status:
% 231.66/232.12 Generated: 641896
% 231.66/232.12 Kept: 119193
% 231.66/232.12 Inuse: 1539
% 231.66/232.12 Deleted: 3601
% 231.66/232.12 Deletedinuse: 10
% 231.66/232.12
% 231.66/232.12 Resimplifying inuse:
% 231.66/232.12 Done
% 231.66/232.12
% 231.66/232.12 Resimplifying inuse:
% 231.66/232.12 Done
% 231.66/232.12
% 231.66/232.12
% 231.66/232.12 Intermediate Status:
% 231.66/232.12 Generated: 651021
% 231.66/232.12 Kept: 121206
% 231.66/232.12 Inuse: 1559
% 231.66/232.12 Deleted: 3601
% 231.66/232.12 Deletedinuse: 10
% 231.66/232.12
% 231.66/232.12 Resimplifying inuse:
% 231.66/232.12 Done
% 231.66/232.12
% 231.66/232.12 Resimplifying clauses:
% 231.66/232.12 Done
% 231.66/232.12
% 231.66/232.12 Resimplifying inuse:
% 231.66/232.12 Done
% 231.66/232.12
% 231.66/232.12
% 231.66/232.12 Intermediate Status:
% 231.66/232.12 Generated: 662118
% 231.66/232.12 Kept: 123436
% 231.66/232.12 Inuse: 1584
% 231.66/232.12 Deleted: 4316
% 231.66/232.12 Deletedinuse: 10
% 231.66/232.12
% 231.66/232.12 Resimplifying inuse:
% 231.66/232.12 Done
% 231.66/232.12
% 231.66/232.12 Resimplifying inuse:
% 231.66/232.12 Done
% 231.66/232.12
% 231.66/232.12
% 231.66/232.12 Intermediate Status:
% 231.66/232.12 Generated: 676940
% 231.66/232.12 Kept: 125453
% 231.66/232.12 Inuse: 1613
% 231.66/232.12 Deleted: 4316
% 231.66/232.12 Deletedinuse: 10
% 231.66/232.12
% 231.66/232.12 Resimplifying inuse:
% 231.66/232.12 Done
% 231.66/232.12
% 231.66/232.12
% 231.66/232.12 Intermediate Status:
% 231.66/232.12 Generated: 685278
% 231.66/232.12 Kept: 127586
% 231.66/232.12 Inuse: 1634
% 231.66/232.12 Deleted: 4316
% 231.66/232.12 Deletedinuse: 10
% 231.66/232.12
% 231.66/232.12 Resimplifying inuse:
% 231.66/232.12 Done
% 231.66/232.12
% 231.66/232.12 Resimplifying inuse:
% 231.66/232.12 Done
% 231.66/232.12
% 231.66/232.12
% 231.66/232.12 Intermediate Status:
% 231.66/232.12 Generated: 695030
% 231.66/232.12 Kept: 129906
% 231.66/232.12 Inuse: 1659
% 231.66/232.12 Deleted: 4316
% 231.66/232.12 Deletedinuse: 10
% 231.66/232.12
% 231.66/232.12 Resimplifying inuse:
% 231.66/232.12 Done
% 231.66/232.12
% 231.66/232.12 Resimplifying inuse:
% 231.66/232.12 Done
% 231.66/232.12
% 231.66/232.12
% 231.66/232.12 Intermediate Status:
% 231.66/232.12 Generated: 704870
% 231.66/232.12 Kept: 132143
% 231.66/232.12 Inuse: 1679
% 231.66/232.12 Deleted: 4316
% 231.66/232.12 Deletedinuse: 10
% 231.66/232.12
% 231.66/232.12 Resimplifying inuse:
% 231.66/232.12 Done
% 231.66/232.12
% 231.66/232.12 Resimplifying inuse:
% 231.66/232.12 Done
% 231.66/232.12
% 231.66/232.12
% 231.66/232.12 Intermediate Status:
% 231.66/232.12 Generated: 715254
% 231.66/232.12 Kept: 134156
% 231.66/232.12 Inuse: 1701
% 231.66/232.12 Deleted: 4316
% 231.66/232.12 Deletedinuse: 10
% 231.66/232.12
% 231.66/232.12 Resimplifying inuse:
% 231.66/232.12 Done
% 231.66/232.12
% 231.66/232.12
% 231.66/232.12 Intermediate Status:
% 231.66/232.12 Generated: 727925
% 231.66/232.12 Kept: 136691
% 231.66/232.12 Inuse: 1709
% 231.66/232.12 Deleted: 4316
% 231.66/232.12 Deletedinuse: 10
% 231.66/232.12
% 231.66/232.12 Resimplifying inuse:
% 231.66/232.12 Done
% 231.66/232.12
% 231.66/232.12 Resimplifying inuse:
% 231.66/232.12 Done
% 231.66/232.12
% 231.66/232.12
% 231.66/232.12 Intermediate Status:
% 231.66/232.12 Generated: 744241
% 231.66/232.12 Kept: 139116
% 231.66/232.12 Inuse: 1744
% 231.66/232.12 Deleted: 4316
% 231.66/232.12 Deletedinuse: 10
% 231.66/232.12
% 231.66/232.12 Resimplifying inuse:
% 231.66/232.12 Done
% 231.66/232.12
% 231.66/232.12 Resimplifying inuse:
% 231.66/232.12 Done
% 231.66/232.12
% 231.66/232.12
% 231.66/232.12 Intermediate Status:
% 231.66/232.12 Generated: 755070
% 231.66/232.12 Kept: 141199
% 231.66/232.12 Inuse: 1764
% 231.66/232.12 Deleted: 4316
% 231.66/232.12 Deletedinuse: 10
% 231.66/232.12
% 231.66/232.12 Resimplifying inuse:
% 231.66/232.12 Done
% 231.66/232.12
% 231.66/232.12
% 231.66/232.12 Intermediate Status:
% 231.66/232.12 Generated: 789716
% 231.66/232.12 Kept: 143550
% 231.66/232.12 Inuse: 1774
% 231.66/232.12 Deleted: 4316
% 231.66/232.12 Deletedinuse: 10
% 231.66/232.12
% 231.66/232.12 Resimplifying inuse:
% 231.66/232.12 Done
% 231.66/232.12
% 231.66/232.12 Resimplifying clauses:
% 231.66/232.12 Done
% 231.66/232.12
% 231.66/232.12 ResCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------