TSTP Solution File: ALG400-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG400-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Thu Jul 14 12:10:45 EDT 2022
% Result : Timeout 300.09s 300.50s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : ALG400-1 : TPTP v8.1.0. Released v4.1.0.
% 0.09/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Thu Jun 9 02:22:05 EDT 2022
% 0.12/0.33 % 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 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_Ofield'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.89/1.30 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 0.89/1.30 , X ), X ), '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 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 0.89/1.30 Z, X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 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 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.89/1.30 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.89/1.30 , 'c_Int_Onumber__class_Onumber__of'( 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 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.89/1.30 X ), 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 , X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 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 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.89/1.30 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.89/1.30 ) ],
% 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 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.89/1.30 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 X ), 'c_HOL_Oinverse__class_Odivide'( Z,
% 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_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_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 0.89/1.30 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 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 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.89/1.30 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y,
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 0.89/1.30 , Z, X ) ), =( Z, '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 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 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 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.89/1.30 , Z, X ), Z, X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 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 'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.89/1.30 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ) ) ],
% 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 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.89/1.30 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ) ) ],
% 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 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.89/1.30 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ), =( Z,
% 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 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.89/1.30 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ),
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( 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 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.89/1.30 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, 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 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.89/1.30 X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), =(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.89/1.30 , T, X ), Z ), =( T, '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 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.89/1.30 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ) ) ],
% 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 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.89/1.30 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ) ) ],
% 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 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 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_Ofield'( X ) ), ~( 'class_Int_Onumber'( X )
% 0.89/1.30 ), =( 'c_HOL_Oinverse__class_Oinverse'(
% 0.89/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( 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_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 ) ), ~(
% 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'( 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'( 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'(
% 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'( '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'( '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'(
% 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_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_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_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_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__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__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__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 ), 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_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__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'( 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__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_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'( '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, 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 ) ), '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 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.89/1.30 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Osmult'( Z, T, X ), X ),
% 0.89/1.30 'c_Polynomial_Osmult'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.89/1.30 'c_Divides_Odiv__class_Odiv'( 'c_Polynomial_Osmult'( Y, Z, X ), T,
% 0.89/1.30 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Y,
% 0.89/1.30 'c_Divides_Odiv__class_Odiv'( Z, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.89/1.30 'c_Polynomial_Opdivmod__rel'( 'c_Polynomial_Osmult'( Y, Z, X ), T,
% 0.89/1.30 'c_Polynomial_Osmult'( Y, U, X ), 'c_Polynomial_Osmult'( Y, W, X ), X ),
% 0.89/1.30 ~( 'c_Polynomial_Opdivmod__rel'( Z, T, U, W, 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_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.89/1.30 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.89/1.30 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), 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_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.89/1.30 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 Y, T, X ), Z, 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_Otimes__class_Otimes'( '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_Otimes__class_Otimes'( Y, T, X )
% 0.89/1.30 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.30 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( 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_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.89/1.30 ],
% 0.89/1.30 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 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 ), ~( '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 ) ), '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__idom'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.89/1.30 'c_HOL_Oone__class_Oone'( 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 ), Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 0.89/1.30 'c_HOL_Oone__class_Oone'( 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_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 [ ~( '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 [ ~( '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_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 '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'( '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'( 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'(
% 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'( '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_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'(
% 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'( '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 ), ~( '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'(
% 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_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'( 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, 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_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, '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_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, 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'( '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, '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'( 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'( 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'(
% 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_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_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_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, 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'(
% 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__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_Oordered__semidom'( X ) ), ~(
% 0.89/1.30 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.30 'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.89/1.30 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 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_Oone__class_Oone'( X ), Z, X ) ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 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_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.89/1.30 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.89/1.30 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( T, 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_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_Ofield'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.89/1.30 , Z, X ), Y ), =( Z, '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 ) ), =( Y,
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.89/1.30 , Z, X ) ), =( Z, '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_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 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'( 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 '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_Ofield'( X ) ), =( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.89/1.30 , Z, X ) ), =( Z, '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_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.89/1.30 , Z, X ), Y ), =( Z, '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 ) ), '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_Ofield'( X ) ), ~(
% 0.89/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( '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_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 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_Oinverse__class_Odivide'( '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_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 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 ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, 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 ) ), ~(
% 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 ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.89/1.30 , X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.89/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.89/1.30 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 0.89/1.30 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, '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 ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), '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 ) ), ~(
% 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_Oinverse__class_Oinverse'( 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_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( 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'(
% 0.89/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.89/1.30 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.89/1.30 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.89/1.30 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.89/1.30 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 0.89/1.30 Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.89/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.89/1.30 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.89/1.30 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.89/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.89/1.30 ), X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.89/1.30 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.89/1.30 'c_Polynomial_Opoly'( 'c_Polynomial_Osmult'( Y, Z, X ), T, X ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.89/1.30 ,
% 0.89/1.30 [ =( 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_Complex_Ocomplex' ),
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Oinverse__class_Oinverse'( Y,
% 0.89/1.30 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ) ],
% 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_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_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_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_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 ) ), ~(
% 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_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_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 ) ), '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 ) ),
% 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 '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 ) ), ~(
% 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 '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'(
% 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'(
% 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'( 'c_HOL_Oone__class_Oone'( X ), 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 [ ~( '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_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), 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 ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.89/1.30 'c_HOL_Oone__class_Oone'( X ), Y, 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__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 ), 'c_HOL_Oinverse__class_Odivide'(
% 0.89/1.30 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.30 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.89/1.30 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.30 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.89/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Oinverse'( 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_lessequals'( Z, Y, X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.89/1.30 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.30 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.89/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.89/1.30 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.89/1.30 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.30 X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.89/1.30 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 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_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.89/1.30 X ), ~( '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_Oone__class_Oone'( 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_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.89/1.30 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_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_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_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 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 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.89/1.30 , X ) ) ],
% 0.89/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.30 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.89/1.30 , 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 ) ), ~( 'c_lessequals'( T, 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, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, 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, 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__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__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__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__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_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.30 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.89/1.30 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.30 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.89/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.30 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.89/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.30 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.30 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.94/1.30 , Y, X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.94/1.30 , Y, X ) ) ],
% 0.94/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.30 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.94/1.30 , X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.30 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.94/1.30 , X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.94/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.94/1.30 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.94/1.30 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.94/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.94/1.30 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, Z ), ~(
% 0.94/1.30 'c_Polynomial_Opdivmod__rel'( T, U, Z, W, X ) ), ~(
% 0.94/1.30 'c_Polynomial_Opdivmod__rel'( T, U, Y, V0, X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, Z ), ~(
% 0.94/1.30 'c_Polynomial_Opdivmod__rel'( T, U, W, Z, X ) ), ~(
% 0.94/1.30 'c_Polynomial_Opdivmod__rel'( T, U, V0, Y, X ) ) ],
% 0.94/1.30 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.30 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.94/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.30 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.30 X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.30 , X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.30 , X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.94/1.30 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.30 , X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.94/1.30 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.30 , X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.94/1.30 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.94/1.30 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.94/1.30 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.94/1.30 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.30 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.94/1.30 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.94/1.30 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.94/1.30 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.30 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.94/1.30 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.94/1.30 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.30 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.30 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.30 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.30 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.94/1.30 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.94/1.30 T, X ), X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.94/1.30 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.94/1.30 X ), Z, X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.94/1.30 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.94/1.30 T, X ), X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.94/1.30 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.94/1.30 X ), T, X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.94/1.30 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.94/1.30 T, X ), X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.94/1.30 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.94/1.30 X ), T, X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.30 , X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.94/1.30 , X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.94/1.30 , X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.94/1.30 , X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.30 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.94/1.30 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.94/1.30 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.94/1.30 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.94/1.30 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.94/1.30 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.30 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.94/1.30 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y,
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.30 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.94/1.30 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.94/1.30 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z,
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.94/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.94/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.30 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), T ),
% 0.94/1.30 ~( 'c_Polynomial_Opdivmod__rel'( Y, Z, T, U, X ) ) ],
% 0.94/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.94/1.30 ,
% 0.94/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.94/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.94/1.30 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.94/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.94/1.30 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.94/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.94/1.30 'c_lessequals'( Z, Y, X ) ],
% 0.94/1.30 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.94/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.94/1.30 ), X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.94/1.30 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ), =( Y,
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.30 'c_Divides_Odiv__class_Odiv'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.94/1.30 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'(
% 0.94/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ), 'c_Divides_Odiv__class_Odiv'( Y
% 0.94/1.30 , T, 'tc_Polynomial_Opoly'( X ) ), X ) ), =( Z,
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.94/1.30 'c_Polynomial_Opdivmod__rel'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.94/1.30 'c_Polynomial_Osmult'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ), U, X ),
% 0.94/1.30 W, X ), ~( 'c_Polynomial_Opdivmod__rel'( Y, T, U, W, X ) ), =( Z,
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.94/1.30 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.30 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.30 ,
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.30 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.30 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 0.94/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.94/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.30 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.94/1.30 [ =( 'c_Fundamental__Theorem__Algebra__Mirabelle_Opsize'( 'v_q____',
% 0.94/1.30 'tc_Complex_Ocomplex' ),
% 0.94/1.30 'c_Fundamental__Theorem__Algebra__Mirabelle_Opsize'(
% 0.94/1.30 'c_Polynomial_Osmult'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.94/1.30 'c_Polynomial_Opoly'( 'v_q____', 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.30 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.94/1.30 , 'v_q____', 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ) ],
% 0.94/1.30 [ =( 'c_Polynomial_Opoly'( 'v_q____', X, 'tc_Complex_Ocomplex' ),
% 0.94/1.30 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Opoly'( 'c_Polynomial_Osmult'(
% 0.94/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_Polynomial_Opoly'( 'v_q____',
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 0.94/1.30 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_q____',
% 0.94/1.30 'tc_Complex_Ocomplex' ), X, 'tc_Complex_Ocomplex' ), 'c_Polynomial_Opoly'(
% 0.94/1.30 'v_q____', 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 0.94/1.30 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ) ],
% 0.94/1.30 [ =( 'c_Polynomial_Opoly'( 'c_Polynomial_Osmult'(
% 0.94/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_Polynomial_Opoly'( 'v_q____',
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 0.94/1.30 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_q____',
% 0.94/1.30 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.30 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.94/1.30 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 0.94/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.30 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.94/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.94/1.30 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.94/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.94/1.30 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.94/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.94/1.30 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.30 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.30 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.30 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.30 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.30 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.94/1.30 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.94/1.30 ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.30 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.94/1.30 ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.94/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.30 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.94/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.30 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.30 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.94/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.94/1.30 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.94/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.94/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.30 ,
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.94/1.30 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.94/1.30 , Y, X ) ) ],
% 0.94/1.30 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 0.94/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.94/1.30 , X ) ) ],
% 0.94/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.94/1.30 , Y, X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.30 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.94/1.30 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.94/1.30 ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.30 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.94/1.30 ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.94/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.30 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.94/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.30 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.94/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 0.94/1.30 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.94/1.30 , X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.94/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.94/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.94/1.30 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.94/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.94/1.30 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.30 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.94/1.30 ,
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.30 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 0.94/1.30 ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.30 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.94/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.30 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.30 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.30 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.94/1.30 [ ~( =( 'c_Polynomial_Opoly'( 'v_q____', 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.30 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.94/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.94/1.30 'c_Polynomial_Osmult'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.94/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.94/1.30 ,
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.30 ,
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.30 ,
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.94/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.94/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.94/1.30 ,
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.94/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.30 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.94/1.30 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 0.94/1.30 ,
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.94/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.94/1.30 , X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.94/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.94/1.30 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.94/1.30 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 0.94/1.30 ,
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 0.94/1.30 , X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.30 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.30 X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.94/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.94/1.30 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.94/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.30 ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.94/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.94/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.30 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.30 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.94/1.30 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 0.94/1.30 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.94/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.94/1.30 , X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.94/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.94/1.30 ), =( Z, Y ) ],
% 0.94/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.94/1.30 ) ],
% 0.94/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.94/1.30 ) ],
% 0.94/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.30 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.94/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.30 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.94/1.30 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.30 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.30 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.94/1.30 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 0.94/1.30 , X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.94/1.30 ), X ), Y ) ],
% 0.94/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.94/1.30 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.94/1.30 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.94/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.94/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.94/1.30 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.94/1.30 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.94/1.30 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.94/1.30 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.94/1.30 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.94/1.30 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.30 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.94/1.30 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.94/1.30 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.94/1.30 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.30 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.94/1.30 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.94/1.30 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.94/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.94/1.30 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.30 ,
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.94/1.30 ,
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.94/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.94/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.94/1.30 [ ~( =( 'c_Polynomial_Opoly'( 'v_q____', 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.30 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ) ],
% 0.94/1.30 [ =( 'c_Polynomial_Opoly'( 'v_q____', 'v_w____', 'tc_Complex_Ocomplex' )
% 0.94/1.30 , 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Opoly'(
% 0.94/1.30 'c_Polynomial_Osmult'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.94/1.30 'c_Polynomial_Opoly'( 'v_q____', 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.30 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.94/1.30 , 'v_q____', 'tc_Complex_Ocomplex' ), 'v_w____', 'tc_Complex_Ocomplex' )
% 0.94/1.30 , 'c_Polynomial_Opoly'( 'v_q____', 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.30 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.94/1.30 ) ],
% 0.94/1.30 [ ~( 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.94/1.30 'c_HOL_Oinverse__class_Odivide'( 'c_Polynomial_Opoly'( 'v_q____',
% 0.94/1.30 'v_w____', 'tc_Complex_Ocomplex' ), 'c_Polynomial_Opoly'( 'v_q____',
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 0.94/1.30 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.94/1.30 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.94/1.30 , ~( 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.94/1.30 'c_Polynomial_Opoly'( 'c_Polynomial_Osmult'(
% 0.94/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_Polynomial_Opoly'( 'v_q____',
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 0.94/1.30 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_q____',
% 0.94/1.30 'tc_Complex_Ocomplex' ), 'v_w____', 'tc_Complex_Ocomplex' ),
% 0.94/1.30 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.94/1.30 'tc_RealDef_Oreal' ) ) ],
% 0.94/1.30 [ 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.94/1.30 'c_Polynomial_Opoly'( 'c_Polynomial_Osmult'(
% 0.94/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_Polynomial_Opoly'( 'v_q____',
% 0.94/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 0.94/1.30 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_q____',
% 0.94/1.30 'tc_Complex_Ocomplex' ), 'v_w____', 'tc_Complex_Ocomplex' ),
% 0.94/1.30 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.94/1.30 'tc_RealDef_Oreal' ), 'c_HOL_Oord__class_Oless'(
% 0.94/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Odivide'(
% 0.94/1.30 'c_Polynomial_Opoly'( 'v_q____', 'v_w____', 'tc_Complex_Ocomplex' ),
% 0.94/1.30 'c_Polynomial_Opoly'( 'v_q____', 'c_HOL_Ozero__class_Ozero'(
% 0.94/1.30 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 0.94/1.30 , 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 0.94/1.30 , 'tc_RealDef_Oreal' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.94/1.30 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Polynomial_Opoly'( X ) )
% 0.94/1.30 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.94/1.30 ,
% 0.94/1.30 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.94/1.30 ],
% 0.94/1.30 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.94/1.30 ,
% 0.94/1.30 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 0.94/1.30 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.94/1.30 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 0.94/1.30 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.94/1.30 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 0.94/1.30 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.94/1.30 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.94/1.30 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.94/1.30 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.94/1.30 'tc_Int_Oint' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 0.94/1.30 ],
% 0.94/1.30 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 0.94/1.30 ,
% 0.94/1.30 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 0.94/1.30 ,
% 0.94/1.30 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 0.94/1.30 ,
% 0.94/1.30 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Int_Oint' ) ],
% 0.94/1.30 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 0.94/1.30 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 0.94/1.30 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 0.94/1.30 [ 'class_Divides_Osemiring__div'( 'tc_Int_Oint' ) ],
% 0.94/1.30 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 0.94/1.30 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 0.94/1.30 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 0.94/1.30 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 0.94/1.30 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 0.94/1.30 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.94/1.30 'tc_RealDef_Oreal' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.94/1.30 'tc_RealDef_Oreal' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.94/1.30 'tc_RealDef_Oreal' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 0.94/1.30 ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 0.94/1.30 ],
% 0.94/1.30 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 0.94/1.30 ,
% 0.94/1.30 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.94/1.30 ,
% 0.94/1.30 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 0.94/1.30 ,
% 0.94/1.30 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.94/1.30 ,
% 0.94/1.30 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 0.94/1.30 ,
% 0.94/1.30 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 0.94/1.30 ,
% 0.94/1.30 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 0.94/1.30 ,
% 0.94/1.30 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 0.94/1.30 ,
% 0.94/1.30 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_RealDef_Oreal' ) ]
% 0.94/1.30 ,
% 0.94/1.30 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.30 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.30 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.30 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.30 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.30 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.30 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.30 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.30 [ 'class_Int_Oring__char__0'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.30 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.30 [ 'class_Int_Onumber'( 'tc_RealDef_Oreal' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.94/1.30 'tc_Complex_Ocomplex' ) ],
% 0.94/1.30 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 0.94/1.30 ) ],
% 0.94/1.30 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 0.94/1.30 ],
% 0.94/1.30 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.94/1.30 ],
% 0.94/1.30 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.94/1.30 ],
% 0.94/1.30 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.94/1.30 ,
% 0.94/1.30 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 0.94/1.30 ,
% 0.94/1.30 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.94/1.30 ,
% 0.94/1.30 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.94/1.30 ,
% 0.94/1.30 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.94/1.30 ,
% 0.94/1.30 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 0.94/1.30 ,
% 0.94/1.30 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 0.94/1.30 ,
% 0.94/1.30 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 0.94/1.30 ,
% 0.94/1.30 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.94/1.30 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.94/1.30 [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 0.94/1.30 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.94/1.30 [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.94/1.30 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.94/1.30 X ) ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.94/1.30 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.94/1.30 X ) ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.94/1.30 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.94/1.30 X ) ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.94/1.30 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.94/1.30 ,
% 0.94/1.30 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Polynomial_Opoly'(
% 0.94/1.30 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Polynomial_Opoly'( X
% 0.94/1.30 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Polynomial_Opoly'( X
% 0.94/1.30 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Polynomial_Opoly'( X
% 0.94/1.30 ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Polynomial_Opoly'( X )
% 0.94/1.30 ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Polynomial_Opoly'( X
% 0.94/1.30 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.94/1.30 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Polynomial_Opoly'( X
% 0.94/1.30 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.94/1.36 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Polynomial_Opoly'( X )
% 0.94/1.36 ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.94/1.36 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Polynomial_Opoly'( X ) )
% 0.94/1.36 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.94/1.36 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Polynomial_Opoly'( X ) )
% 0.94/1.36 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.94/1.36 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Polynomial_Opoly'( X ) )
% 0.94/1.36 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.94/1.36 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Polynomial_Opoly'( X ) )
% 0.94/1.36 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.94/1.36 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Polynomial_Opoly'( X ) ),
% 0.94/1.36 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.94/1.36 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.94/1.36 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.94/1.36 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Polynomial_Opoly'( X ) ),
% 0.94/1.36 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.94/1.36 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.94/1.36 [ 'class_Divides_Osemiring__div'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Ofield'( X ) ) ],
% 0.94/1.36 [ 'class_Orderings_Opreorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.94/1.36 [ 'class_Orderings_Olinorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.94/1.36 [ 'class_Orderings_Oorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.94/1.36 [ 'class_Int_Oring__char__0'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.94/1.36 [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.94/1.36 [ 'class_Int_Onumber'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.94/1.36 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ]
% 0.94/1.36 ] .
% 0.94/1.36
% 0.94/1.36
% 0.94/1.36 percentage equality = 0.097155, percentage horn = 0.741509
% 0.94/1.36 This is a problem with some equality
% 0.94/1.36
% 0.94/1.36
% 0.94/1.36
% 0.94/1.36 Options Used:
% 0.94/1.36
% 0.94/1.36 useres = 1
% 0.94/1.36 useparamod = 1
% 0.94/1.36 useeqrefl = 1
% 0.94/1.36 useeqfact = 1
% 0.94/1.36 usefactor = 1
% 0.94/1.36 usesimpsplitting = 0
% 0.94/1.36 usesimpdemod = 5
% 0.94/1.36 usesimpres = 3
% 0.94/1.36
% 0.94/1.36 resimpinuse = 1000
% 0.94/1.36 resimpclauses = 20000
% 0.94/1.36 substype = eqrewr
% 0.94/1.36 backwardsubs = 1
% 0.94/1.36 selectoldest = 5
% 0.94/1.36
% 0.94/1.36 litorderings [0] = split
% 0.94/1.36 litorderings [1] = extend the termordering, first sorting on arguments
% 0.94/1.36
% 0.94/1.36 termordering = kbo
% 0.94/1.36
% 0.94/1.36 litapriori = 0
% 0.94/1.36 termapriori = 1
% 0.94/1.36 litaposteriori = 0
% 0.94/1.36 termaposteriori = 0
% 0.94/1.36 demodaposteriori = 0
% 0.94/1.36 ordereqreflfact = 0
% 0.94/1.36
% 0.94/1.36 litselect = negord
% 0.94/1.36
% 0.94/1.36 maxweight = 15
% 0.94/1.36 maxdepth = 30000
% 0.94/1.36 maxlength = 115
% 0.94/1.36 maxnrvars = 195
% 0.94/1.36 excuselevel = 1
% 0.94/1.36 increasemaxweight = 1
% 0.94/1.36
% 0.94/1.36 maxselected = 10000000
% 0.94/1.36 maxnrclauses = 10000000
% 0.94/1.36
% 0.94/1.36 showgenerated = 0
% 0.94/1.36 showkept = 0
% 0.94/1.36 showselected = 0
% 0.94/1.36 showdeleted = 0
% 0.94/1.36 showresimp = 1
% 0.94/1.36 showstatus = 2000
% 0.94/1.36
% 0.94/1.36 prologoutput = 1
% 0.94/1.36 nrgoals = 5000000
% 0.94/1.36 totalproof = 1
% 0.94/1.36
% 0.94/1.36 Symbols occurring in the translation:
% 0.94/1.36
% 0.94/1.36 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.94/1.36 . [1, 2] (w:1, o:85, a:1, s:1, b:0),
% 0.94/1.36 ! [4, 1] (w:0, o:39, a:1, s:1, b:0),
% 0.94/1.36 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.94/1.36 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.94/1.36 'class_Ring__and__Field_Ofield' [40, 1] (w:1, o:44, a:1, s:1, b:0),
% 0.94/1.36 'class_Ring__and__Field_Odivision__by__zero' [41, 1] (w:1, o:48, a:1
% 0.94/1.36 , s:1, b:0),
% 0.94/1.36 'class_Int_Onumber' [42, 1] (w:1, o:49, a:1, s:1, b:0),
% 0.94/1.36 'c_Int_Onumber__class_Onumber__of' [44, 2] (w:1, o:111, a:1, s:1, b:0
% 0.94/1.36 ),
% 0.94/1.36 'c_HOL_Ozero__class_Ozero' [45, 1] (w:1, o:50, a:1, s:1, b:0),
% 0.94/1.36 'c_HOL_Oinverse__class_Odivide' [47, 3] (w:1, o:114, a:1, s:1, b:0),
% 0.94/1.36
% 0.94/1.36 'class_Orderings_Olinorder' [48, 1] (w:1, o:51, a:1, s:1, b:0),
% 0.94/1.36 'c_lessequals' [50, 3] (w:1, o:115, a:1, s:1, b:0),
% 0.94/1.36 'c_HOL_Oord__class_Oless' [51, 3] (w:1, o:116, a:1, s:1, b:0),
% 0.94/1.36 'class_Int_Oring__char__0' [52, 1] (w:1, o:52, a:1, s:1, b:0),
% 5.95/6.36 'class_Int_Onumber__ring' [53, 1] (w:1, o:53, a:1, s:1, b:0),
% 5.95/6.36 'class_Ring__and__Field_Oordered__field' [56, 1] (w:1, o:58, a:1, s:1
% 5.95/6.36 , b:0),
% 5.95/6.36 'c_HOL_Otimes__class_Otimes' [59, 3] (w:1, o:117, a:1, s:1, b:0),
% 5.95/6.36 'c_HOL_Oinverse__class_Oinverse' [60, 2] (w:1, o:110, a:1, s:1, b:0)
% 5.95/6.36 ,
% 5.95/6.36 'c_HOL_Oone__class_Oone' [61, 1] (w:1, o:59, a:1, s:1, b:0),
% 5.95/6.36 'class_Ring__and__Field_Oordered__ring__strict' [62, 1] (w:1, o:60
% 5.95/6.36 , a:1, s:1, b:0),
% 5.95/6.36 'class_Ring__and__Field_Oordered__semiring__strict' [63, 1] (w:1, o:
% 5.95/6.36 61, a:1, s:1, b:0),
% 5.95/6.36 'class_Ring__and__Field_Ocomm__semiring__0' [65, 1] (w:1, o:46, a:1
% 5.95/6.36 , s:1, b:0),
% 5.95/6.36 'c_Polynomial_Osmult' [67, 3] (w:1, o:118, a:1, s:1, b:0),
% 5.95/6.36 'tc_Polynomial_Opoly' [68, 1] (w:1, o:62, a:1, s:1, b:0),
% 5.95/6.36 'c_Divides_Odiv__class_Odiv' [69, 3] (w:1, o:119, a:1, s:1, b:0),
% 5.95/6.36 'c_Polynomial_Opdivmod__rel' [72, 5] (w:1, o:121, a:1, s:1, b:0),
% 5.95/6.36 'class_Divides_Osemiring__div' [73, 1] (w:1, o:63, a:1, s:1, b:0),
% 5.95/6.36 'class_Ring__and__Field_Ocomm__semiring__1' [74, 1] (w:1, o:47, a:1
% 5.95/6.36 , s:1, b:0),
% 5.95/6.36 'class_OrderedGroup_Ocomm__monoid__mult' [75, 1] (w:1, o:64, a:1, s:1
% 5.95/6.36 , b:0),
% 5.95/6.36 'class_OrderedGroup_Omonoid__mult' [76, 1] (w:1, o:65, a:1, s:1, b:0)
% 5.95/6.36 ,
% 5.95/6.36 'class_Ring__and__Field_Oordered__idom' [77, 1] (w:1, o:66, a:1, s:1
% 5.95/6.36 , b:0),
% 5.95/6.36 'class_Orderings_Opreorder' [78, 1] (w:1, o:68, a:1, s:1, b:0),
% 5.95/6.36 'class_Orderings_Oorder' [79, 1] (w:1, o:67, a:1, s:1, b:0),
% 5.95/6.36 'class_Ring__and__Field_Oordered__comm__semiring__strict' [80, 1] (w:
% 5.95/6.36 1, o:69, a:1, s:1, b:0),
% 5.95/6.36 'class_Ring__and__Field_Oordered__semidom' [81, 1] (w:1, o:70, a:1
% 5.95/6.36 , s:1, b:0),
% 5.95/6.36 'class_Ring__and__Field_Odivision__ring' [84, 1] (w:1, o:71, a:1, s:1
% 5.95/6.36 , b:0),
% 5.95/6.36 'class_RealVector_Oreal__normed__div__algebra' [85, 1] (w:1, o:72, a:
% 5.95/6.36 1, s:1, b:0),
% 5.95/6.36 'c_RealVector_Onorm__class_Onorm' [86, 2] (w:1, o:112, a:1, s:1, b:0)
% 5.95/6.36 ,
% 5.95/6.36 'tc_RealDef_Oreal' [87, 0] (w:1, o:27, a:1, s:1, b:0),
% 5.95/6.36 'c_Polynomial_Opoly' [88, 3] (w:1, o:120, a:1, s:1, b:0),
% 5.95/6.36 'tc_Complex_Ocomplex' [89, 0] (w:1, o:28, a:1, s:1, b:0),
% 5.95/6.36 'class_Ring__and__Field_Oordered__semiring' [91, 1] (w:1, o:73, a:1
% 5.95/6.36 , s:1, b:0),
% 5.95/6.36 'class_Ring__and__Field_Ono__zero__divisors' [92, 1] (w:1, o:57, a:1
% 5.95/6.36 , s:1, b:0),
% 5.95/6.36 'class_Ring__and__Field_Oring__no__zero__divisors' [93, 1] (w:1, o:74
% 5.95/6.36 , a:1, s:1, b:0),
% 5.95/6.36 'class_RealVector_Oreal__normed__algebra' [94, 1] (w:1, o:75, a:1, s:
% 5.95/6.36 1, b:0),
% 5.95/6.36 'class_Ring__and__Field_Omult__zero' [95, 1] (w:1, o:54, a:1, s:1, b:
% 5.95/6.36 0),
% 5.95/6.36 'class_OrderedGroup_Oab__semigroup__idem__mult' [104, 1] (w:1, o:76
% 5.95/6.36 , a:1, s:1, b:0),
% 5.95/6.36 'class_Ring__and__Field_Omult__mono1' [105, 1] (w:1, o:55, a:1, s:1
% 5.95/6.36 , b:0),
% 5.95/6.36 'class_Ring__and__Field_Omult__mono' [106, 1] (w:1, o:56, a:1, s:1
% 5.95/6.36 , b:0),
% 5.95/6.36 'class_Ring__and__Field_Opordered__ring' [107, 1] (w:1, o:77, a:1, s:
% 5.95/6.36 1, b:0),
% 5.95/6.36 'class_Ring__and__Field_Opordered__cancel__semiring' [108, 1] (w:1
% 5.95/6.36 , o:78, a:1, s:1, b:0),
% 5.95/6.36 'class_OrderedGroup_Oab__semigroup__mult' [109, 1] (w:1, o:79, a:1
% 5.95/6.36 , s:1, b:0),
% 5.95/6.36 'class_Ring__and__Field_Opordered__semiring' [110, 1] (w:1, o:80, a:1
% 5.95/6.36 , s:1, b:0),
% 5.95/6.36 'v_q____' [111, 0] (w:1, o:34, a:1, s:1, b:0),
% 5.95/6.36 'c_Fundamental__Theorem__Algebra__Mirabelle_Opsize' [112, 2] (w:1, o:
% 5.95/6.36 113, a:1, s:1, b:0),
% 5.95/6.36 'class_Ring__and__Field_Ozero__neq__one' [113, 1] (w:1, o:81, a:1, s:
% 5.95/6.36 1, b:0),
% 5.95/6.36 'class_RealVector_Oreal__normed__algebra__1' [114, 1] (w:1, o:82, a:1
% 5.95/6.36 , s:1, b:0),
% 5.95/6.36 'class_RealVector_Oreal__normed__field' [115, 1] (w:1, o:83, a:1, s:1
% 5.95/6.36 , b:0),
% 5.95/6.36 'v_w____' [116, 0] (w:1, o:35, a:1, s:1, b:0),
% 5.95/6.36 'class_Ring__and__Field_Oidom' [118, 1] (w:1, o:84, a:1, s:1, b:0),
% 5.95/6.36 'class_Ring__and__Field_Ocomm__ring__1' [119, 1] (w:1, o:45, a:1, s:1
% 5.95/6.36 , b:0),
% 5.95/6.36 'tc_Int_Oint' [120, 0] (w:1, o:37, a:1, s:1, b:0),
% 5.95/6.36 'tc_nat' [121, 0] (w:1, o:38, a:1, s:1, b:0).
% 5.95/6.36
% 5.95/6.36
% 5.95/6.36 Starting Search:
% 5.95/6.36
% 5.95/6.36 Resimplifying inuse:
% 5.95/6.36 Done
% 5.95/6.36
% 5.95/6.36
% 5.95/6.36 Intermediate Status:
% 5.95/6.36 Generated: Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------