TSTP Solution File: ALG342-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG342-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 12:10:24 EDT 2022
% Result : Unsatisfiable 119.71s 120.15s
% Output : Refutation 119.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ALG342-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Wed Jun 8 11:59:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.84/1.22 *** allocated 10000 integers for termspace/termends
% 0.84/1.22 *** allocated 10000 integers for clauses
% 0.84/1.22 *** allocated 10000 integers for justifications
% 0.84/1.22 *** allocated 15000 integers for termspace/termends
% 0.84/1.22 Bliksem 1.12
% 0.84/1.22
% 0.84/1.22
% 0.84/1.22 Automatic Strategy Selection
% 0.84/1.22
% 0.84/1.22 Clauses:
% 0.84/1.22 [
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.84/1.22 ,
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.84/1.22 ,
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.84/1.22 ,
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.84/1.22 ,
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.84/1.22 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.84/1.22 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.84/1.22 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.22 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.84/1.22 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 0.84/1.22 ,
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.84/1.22 , X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.84/1.22 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.84/1.22 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.84/1.22 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 0.84/1.22 ,
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 0.84/1.22 , X ) ) ],
% 0.84/1.22 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.22 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.84/1.22 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.22 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.22 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.22 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.84/1.22 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.22 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.22 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.22 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.22 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.84/1.22 ,
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.22 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.84/1.22 ,
% 0.84/1.22 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.22 'c_HOL_Osgn__class_Osgn'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.22 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.84/1.22 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.84/1.22 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.22 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.84/1.22 ,
% 0.84/1.22 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.22 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.22 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.22 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.22 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.84/1.22 , Y, X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.22 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.84/1.22 , T, X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.22 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.84/1.22 , T, X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.22 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.84/1.22 , Y, X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.84/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.84/1.22 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.22 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 0.84/1.22 ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.84/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.84/1.22 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.22 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 0.84/1.22 ,
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.84/1.22 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.84/1.22 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 0.84/1.22 ,
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.84/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.84/1.22 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.84/1.22 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.84/1.22 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 0.84/1.22 ,
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.84/1.22 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.84/1.22 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.84/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 0.84/1.22 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.84/1.22 ,
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.84/1.22 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.84/1.22 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 0.84/1.22 ,
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.84/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.84/1.22 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 0.84/1.22 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.84/1.22 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.84/1.22 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 0.84/1.22 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.84/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.84/1.22 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.84/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.84/1.22 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.84/1.22 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.84/1.22 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.84/1.22 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.84/1.22 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.84/1.22 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.84/1.22 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 0.84/1.22 ,
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.84/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.84/1.22 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.84/1.22 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 0.84/1.22 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 0.84/1.22 ,
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.84/1.22 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.84/1.22 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.84/1.22 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X ),
% 0.84/1.22 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.84/1.22 'c_Polynomial_Opoly'( Z, T, X ), X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.84/1.22 'c_Polynomial_Opos__poly'( 'c_Polynomial_OpCons'( Y, Z, X ), X ), ~(
% 0.84/1.22 'c_Polynomial_Opos__poly'( Z, X ) ) ],
% 0.84/1.22 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.84/1.22 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.84/1.22 'c_HOL_Otimes__class_Otimes'( T, U, 'tc_RealDef_Oreal' ),
% 0.84/1.22 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.22 'c_RealVector_Onorm__class_Onorm'( Z, X ), U, 'tc_RealDef_Oreal' ) ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ), T,
% 0.84/1.22 'tc_RealDef_Oreal' ) ) ],
% 0.84/1.22 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 0.84/1.22 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.84/1.22 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.84/1.22 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.84/1.22 'tc_RealDef_Oreal' ) ],
% 0.84/1.22 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.84/1.22 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ) ) ), =( X,
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Y, Z ) ],
% 0.84/1.22 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.84/1.22 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( X, Z ) ],
% 0.84/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.84/1.22 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.84/1.22 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.84/1.22 ) ],
% 0.84/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.84/1.22 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.84/1.22 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.84/1.22 ) ],
% 0.84/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.84/1.22 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.84/1.22 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.84/1.22 X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.84/1.22 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.84/1.22 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.84/1.22 ) ],
% 0.84/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.84/1.22 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.84/1.22 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.84/1.22 X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.84/1.22 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.84/1.22 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.84/1.22 ) ],
% 0.84/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.84/1.22 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.84/1.22 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.84/1.22 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.84/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.84/1.22 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.84/1.22 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 0.84/1.22 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.84/1.22 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.84/1.22 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.84/1.22 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.84/1.22 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.84/1.22 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.22 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.84/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.84/1.22 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.22 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.84/1.22 X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.84/1.22 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.84/1.22 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.22 Z, T, X ) ) ],
% 0.84/1.22 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.84/1.22 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.22 Z, T, X ) ) ],
% 0.84/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.84/1.22 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.22 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.84/1.22 X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.84/1.22 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.84/1.22 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.22 Y, T, X ) ) ],
% 0.84/1.22 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.84/1.22 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.84/1.22 Y, T, X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.84/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.84/1.22 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 0.84/1.22 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.84/1.22 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.84/1.22 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 0.84/1.22 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.84/1.22 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.84/1.22 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.84/1.22 X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.84/1.22 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 0.84/1.22 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.84/1.22 X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.84/1.22 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.22 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.84/1.22 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.84/1.22 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.84/1.22 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.84/1.22 ), X ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.22 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.84/1.22 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.22 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.84/1.22 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.84/1.22 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.84/1.22 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.84/1.22 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 0.84/1.22 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 0.84/1.22 X ), Z, X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.84/1.22 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 0.84/1.22 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.84/1.22 Z, X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.84/1.22 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.84/1.22 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.84/1.22 Z, X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.84/1.22 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.84/1.22 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.84/1.22 X ), Z, X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.84/1.22 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.84/1.22 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.84/1.22 X ), Z, X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.84/1.22 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.84/1.22 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.84/1.22 X ), T, X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.22 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.84/1.22 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.84/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.84/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.84/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.84/1.22 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.84/1.22 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.84/1.22 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.84/1.22 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.86/1.22 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.86/1.22 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.86/1.22 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.86/1.22 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.86/1.22 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.22 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.86/1.22 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.22 Y, T, X ), Z, X ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.86/1.22 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.22 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.86/1.22 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.22 Y, T, X ), Z, X ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.86/1.22 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.86/1.22 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.86/1.22 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.86/1.22 , Y, X ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.86/1.22 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.22 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.86/1.22 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.22 , Z, X ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.86/1.22 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.86/1.22 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.86/1.22 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.22 , Z, X ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.86/1.22 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.86/1.22 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.86/1.22 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 0.86/1.22 ), X ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.86/1.22 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.86/1.22 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 0.86/1.22 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 0.86/1.22 ), X ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.86/1.22 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.22 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.86/1.22 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.22 , T, X ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.86/1.22 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.22 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.86/1.22 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.22 , T, X ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.86/1.22 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.22 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.86/1.22 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.86/1.22 Z, X ) ) ],
% 0.86/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.86/1.22 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.86/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.22 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.86/1.23 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.86/1.23 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.86/1.23 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.86/1.23 ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.86/1.23 ],
% 0.86/1.23 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.86/1.23 ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.86/1.23 ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.23 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.86/1.23 ), X ) ) ],
% 0.86/1.23 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.86/1.23 ],
% 0.86/1.23 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.86/1.23 ],
% 0.86/1.23 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.86/1.23 ],
% 0.86/1.23 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.86/1.23 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.86/1.23 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.86/1.23 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.86/1.23 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.23 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.86/1.23 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.86/1.23 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.23 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.86/1.23 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.23 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.86/1.23 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.86/1.23 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.86/1.23 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.23 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.23 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.86/1.23 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.86/1.23 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.86/1.23 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.86/1.23 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.86/1.23 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.86/1.23 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.86/1.23 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.86/1.23 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.86/1.23 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.86/1.23 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.86/1.23 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.86/1.23 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.86/1.23 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.23 X ), T, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.86/1.23 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.86/1.23 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.86/1.23 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.86/1.23 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.86/1.23 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.86/1.23 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.86/1.23 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.86/1.23 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.86/1.23 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.86/1.23 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.86/1.23 ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.86/1.23 ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.86/1.23 ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.86/1.23 ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.86/1.23 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.86/1.23 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.86/1.23 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.23 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.86/1.23 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.86/1.23 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.86/1.23 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.86/1.23 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.86/1.23 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.86/1.23 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.86/1.23 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.86/1.23 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.23 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.23 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.86/1.23 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.86/1.23 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.86/1.23 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.86/1.23 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.86/1.23 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.86/1.23 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.23 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.86/1.23 , X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.23 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.86/1.23 , X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.23 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.86/1.23 , X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.23 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.86/1.23 , X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.86/1.23 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.23 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.23 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.23 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.86/1.23 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.86/1.23 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.86/1.23 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.86/1.23 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.86/1.23 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.86/1.23 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.86/1.23 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.86/1.23 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.86/1.23 ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.86/1.23 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.86/1.23 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.86/1.23 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.86/1.23 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.86/1.23 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.86/1.23 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.86/1.23 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.86/1.23 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.86/1.23 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.86/1.23 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.23 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.86/1.23 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.23 , X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.23 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.86/1.23 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.23 , X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.23 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.23 , X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.23 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.23 , X ) ) ],
% 0.86/1.23 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.86/1.23 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.86/1.23 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.23 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.86/1.23 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.86/1.23 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.86/1.23 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.86/1.23 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.86/1.23 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.86/1.23 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.86/1.23 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.86/1.23 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.23 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.23 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.86/1.23 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.86/1.23 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.23 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.86/1.23 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.86/1.23 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.86/1.23 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.86/1.23 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.86/1.23 ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.86/1.23 ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.86/1.23 ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.86/1.23 ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.86/1.23 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.86/1.23 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.86/1.23 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.86/1.23 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.86/1.23 ), X ) ) ],
% 0.86/1.23 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.86/1.23 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.86/1.23 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.23 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.86/1.23 [ 'c_HOL_Oord__class_Oless'( X, 'c_RealDef_Oreal__of__preal'( Y ),
% 0.86/1.23 'tc_RealDef_Oreal' ), 'c_HOL_Oord__class_Oless'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.86/1.23 ],
% 0.86/1.23 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.86/1.23 ), 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.86/1.23 'tc_RealDef_Oreal' ) ],
% 0.86/1.23 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.23 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.86/1.23 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.23 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.23 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal__of__preal'( X ),
% 0.86/1.23 'tc_RealDef_Oreal' ) ],
% 0.86/1.23 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.23 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal__of__preal'( X ),
% 0.86/1.23 'tc_RealDef_Oreal' ) ],
% 0.86/1.23 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ),
% 0.86/1.23 'c_Transcendental_Oln'( Y ), 'tc_RealDef_Oreal' ), ~(
% 0.86/1.23 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.86/1.23 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.86/1.23 ) ],
% 0.86/1.23 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ),
% 0.86/1.23 'c_Transcendental_Oln'( Y ), 'tc_RealDef_Oreal' ) ), ~(
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.86/1.23 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.86/1.23 ) ],
% 0.86/1.23 [ ~( =( 'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y ) ) ),
% 0.86/1.23 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.23 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.86/1.23 ), X, 'tc_RealDef_Oreal' ) ), =( X, Y ) ],
% 0.86/1.23 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ), X,
% 0.86/1.23 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.86/1.23 ) ],
% 0.86/1.23 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.23 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.86/1.23 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.86/1.23 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.23 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.23 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.86/1.23 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 0.86/1.23 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.23 Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.86/1.23 ) ],
% 0.86/1.23 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.86/1.23 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 0.86/1.23 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.23 X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.86/1.23 ) ],
% 0.86/1.23 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z,
% 0.86/1.23 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.86/1.23 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.86/1.23 ), Z, 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.86/1.23 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.86/1.23 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.23 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.86/1.23 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.86/1.23 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.86/1.23 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.23 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.23 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.86/1.23 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.86/1.23 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.23 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.86/1.23 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.23 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.86/1.23 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.86/1.23 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.86/1.23 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.86/1.23 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.23 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.86/1.23 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.86/1.23 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.86/1.23 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.86/1.23 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.23 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.23 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.23 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.86/1.23 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.86/1.23 ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.86/1.23 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.23 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.23 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.23 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.23 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.23 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.23 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.23 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.86/1.23 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.86/1.23 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.86/1.23 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.86/1.23 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.86/1.23 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.86/1.23 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.86/1.23 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.86/1.23 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.86/1.23 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.86/1.23 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.23 Y, T, X ), Z, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.23 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.86/1.23 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.86/1.23 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.23 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.86/1.23 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.86/1.23 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.86/1.23 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.86/1.23 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.86/1.23 ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.86/1.23 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.86/1.23 ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.86/1.23 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.86/1.23 ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.86/1.23 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.86/1.23 ) ) ],
% 0.86/1.23 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.86/1.23 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.86/1.23 ) ) ],
% 0.86/1.23 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.86/1.23 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.86/1.23 ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.86/1.23 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.86/1.23 ) ) ],
% 0.86/1.23 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.86/1.23 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.86/1.23 ) ) ],
% 0.86/1.23 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.86/1.23 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.86/1.23 ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.86/1.23 , Y, X ) ) ],
% 0.86/1.23 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.86/1.23 , Y, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.23 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.86/1.23 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.23 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.86/1.23 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.23 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.86/1.23 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.86/1.23 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.86/1.23 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.23 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.86/1.23 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.23 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.86/1.23 Z, T, X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.86/1.23 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.86/1.23 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.86/1.23 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.86/1.23 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.23 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.23 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.23 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.23 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.23 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.23 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.23 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.86/1.23 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.86/1.23 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.23 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.86/1.23 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.86/1.23 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.86/1.23 T, X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.86/1.23 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.86/1.23 X ), Z, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.86/1.23 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.86/1.23 T, X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.86/1.23 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.86/1.23 X ), T, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.86/1.23 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.86/1.23 T, X ), X ) ) ],
% 0.86/1.23 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.86/1.23 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.86/1.23 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.86/1.23 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.86/1.23 X ), T, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.86/1.23 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.86/1.23 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.86/1.23 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.86/1.23 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.86/1.23 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.86/1.23 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.86/1.23 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.86/1.23 ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.86/1.23 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 0.86/1.23 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.86/1.23 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.86/1.23 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.86/1.23 X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.23 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.86/1.23 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.86/1.23 X ) ) ), =( Z, T ) ],
% 0.86/1.23 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.86/1.23 X ) ) ), =( Z, T ) ],
% 0.86/1.23 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.86/1.23 X ) ) ), =( Y, T ) ],
% 0.86/1.23 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.86/1.23 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.86/1.23 X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.86/1.23 X ) ) ],
% 0.86/1.23 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.86/1.23 X ) ) ],
% 0.86/1.23 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.86/1.23 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.86/1.23 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.86/1.23 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) )
% 0.86/1.23 ],
% 0.86/1.23 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.86/1.23 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 0.86/1.23 Y, Z, X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.86/1.23 , X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.23 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.86/1.23 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.86/1.23 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.86/1.23 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.86/1.23 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.86/1.23 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.23 ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.86/1.23 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.86/1.23 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.86/1.23 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.86/1.23 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.86/1.23 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.86/1.23 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.86/1.23 ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.86/1.23 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.23 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.86/1.23 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.86/1.23 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.86/1.23 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.86/1.23 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.86/1.23 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.86/1.23 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.86/1.23 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.86/1.23 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.86/1.23 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.86/1.23 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.86/1.23 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.23 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.86/1.23 Z, T, X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.86/1.23 , T, X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.86/1.23 , Z, X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.86/1.23 , T, X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.86/1.23 , Z, X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.23 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 0.86/1.23 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.86/1.23 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 0.86/1.23 ],
% 0.86/1.23 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.86/1.23 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.86/1.23 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.23 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.86/1.23 , T, X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.86/1.23 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.86/1.23 , Z, X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.23 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.86/1.23 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.86/1.23 ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.23 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.86/1.23 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.23 X ), T, X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.23 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.86/1.23 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.86/1.23 ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.86/1.23 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.86/1.23 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.86/1.23 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.86/1.23 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.86/1.23 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 0.86/1.23 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.86/1.23 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.23 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.86/1.23 'c_Polynomial_Opos__poly'( Z, X ), ~( 'c_Polynomial_Opos__poly'(
% 0.86/1.23 'c_Polynomial_OpCons'( Y, Z, X ), X ) ) ],
% 0.86/1.23 [ 'c_lessequals'( 'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y
% 0.86/1.23 ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) )
% 0.86/1.23 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.23 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.86/1.23 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.23 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.86/1.23 'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y ),
% 0.86/1.23 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.86/1.23 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.23 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.23 [ 'c_HOL_Oord__class_Oless'(
% 0.86/1.23 'c_RComplete_Osko__RComplete__XRats__dense__in__nn__real__1__1'( X, Y ),
% 0.86/1.23 Y, 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.86/1.23 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.23 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.23 [ 'c_HOL_Oord__class_Oless'( X,
% 0.86/1.23 'c_RComplete_Osko__RComplete__XRats__dense__in__nn__real__1__1'( X, Y ),
% 0.86/1.23 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.86/1.23 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.23 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.23 [ 'c_HOL_Oord__class_Oless'( X, 'c_RealDef_Oreal__of__preal'( Y ),
% 0.86/1.23 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.23 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.23 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 0.86/1.23 ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 0.86/1.23 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ),
% 0.86/1.23 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.23 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.23 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 0.86/1.23 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 0.86/1.23 ) ],
% 0.86/1.23 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 0.86/1.23 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 0.86/1.23 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ),
% 0.86/1.23 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.23 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.23 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 0.86/1.23 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 0.86/1.23 ) ],
% 0.86/1.23 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.86/1.23 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.86/1.23 Z, 'c_RealVector_Onorm__class_Onorm'( T, X ), 'tc_RealDef_Oreal' ),
% 0.86/1.23 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.23 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.23 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.23 'tc_RealDef_Oreal' ), 'v_sko__local__XpCons__Xhyps__1'( 'v_cs____', 'v_r'
% 0.86/1.23 ), 'tc_RealDef_Oreal' ) ],
% 0.86/1.23 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.23 'tc_RealDef_Oreal' ), 'v_sko__local__XpCons__1'( 'v_cs____', 'v_r' ),
% 0.86/1.23 'tc_RealDef_Oreal' ) ],
% 0.86/1.23 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.86/1.23 'c_Polynomial_Opoly'( 'v_cs____', X, 'tc_Complex_Ocomplex' ),
% 0.86/1.23 'tc_Complex_Ocomplex' ), 'v_sko__local__XpCons__1'( 'v_cs____', 'v_r' ),
% 0.86/1.23 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.86/1.23 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ), 'v_r',
% 0.86/1.23 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.23 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.86/1.23 'c_Polynomial_Opoly'( 'v_cs____', X, 'tc_Complex_Ocomplex' ),
% 0.86/1.23 'tc_Complex_Ocomplex' ), 'v_m____', 'tc_RealDef_Oreal' ), ~(
% 0.86/1.23 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( X,
% 0.86/1.23 'tc_Complex_Ocomplex' ), 'v_r', 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.23 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.86/1.23 'c_Polynomial_Opoly'( 'v_cs____', X, 'tc_Complex_Ocomplex' ),
% 0.86/1.23 'tc_Complex_Ocomplex' ), 'v_sko__local__XpCons__Xhyps__1'( 'v_cs____',
% 0.86/1.23 'v_r' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.86/1.23 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ), 'v_r',
% 0.86/1.23 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.86/1.23 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.86/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.86/1.23 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.86/1.23 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 0.86/1.23 'tc_RealDef_Oreal' ) ],
% 0.86/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.86/1.23 'c_lessequals'( Z, Y, X ) ],
% 0.86/1.23 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.86/1.23 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.86/1.23 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.86/1.23 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.86/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.86/1.23 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.86/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.86/1.23 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.86/1.23 ) ) ],
% 0.86/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.86/1.23 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.86/1.23 ) ) ],
% 0.86/1.23 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.86/1.23 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.86/1.23 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.86/1.23 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.86/1.23 , X ) ) ],
% 0.86/1.23 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.86/1.23 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.86/1.23 , X ) ) ],
% 0.86/1.23 [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 0.86/1.23 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y,
% 0.86/1.23 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.86/1.23 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.86/1.23 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.86/1.23 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.86/1.23 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.86/1.23 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.86/1.23 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.86/1.23 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.86/1.23 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.86/1.23 , Y, X ) ) ],
% 0.86/1.23 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.86/1.23 , X ) ) ],
% 0.86/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.86/1.23 , Y, X ) ) ],
% 0.86/1.23 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.86/1.23 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.23 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.86/1.23 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ],
% 0.86/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.86/1.23 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.86/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.86/1.23 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.86/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.86/1.23 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.86/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.86/1.23 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.86/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.86/1.23 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.86/1.23 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), =( X, Y ), ~(
% 0.86/1.23 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.86/1.23 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.86/1.23 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.86/1.23 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Y, T ) ],
% 0.86/1.23 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.86/1.23 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Z, U ) ],
% 0.86/1.23 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.86/1.23 ), 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ), =( Y
% 0.86/1.23 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.23 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.86/1.23 ), =( Z, Y ) ],
% 0.86/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.86/1.23 ) ],
% 0.86/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.86/1.23 ) ],
% 0.86/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.86/1.23 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.86/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.86/1.23 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.86/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.86/1.23 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.86/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.86/1.23 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.86/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.86/1.23 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.86/1.23 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 0.86/1.23 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.23 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.86/1.23 ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.86/1.23 ), 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.23 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.86/1.23 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.23 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.86/1.23 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.86/1.23 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.86/1.23 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.23 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.23 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.86/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.86/1.23 ],
% 0.86/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.86/1.23 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.86/1.23 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.86/1.23 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.86/1.23 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.86/1.23 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.86/1.23 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.86/1.23 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.86/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.86/1.23 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.86/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.86/1.23 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.86/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.86/1.23 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.86/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.86/1.23 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.86/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.86/1.23 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.86/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.86/1.23 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.86/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.86/1.23 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.86/1.23 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.86/1.23 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 0.86/1.23 'tc_Complex_Ocomplex' ), X, 'tc_Complex_Ocomplex' ),
% 0.86/1.23 'tc_Complex_Ocomplex' ), 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal'
% 0.86/1.23 ), 'c_RealVector_Onorm__class_Onorm'( 'v_c____', 'tc_Complex_Ocomplex' )
% 0.86/1.23 , 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( 'v_r', 'v_m____', 'tc_RealDef_Oreal' ),
% 0.86/1.23 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 0.86/1.23 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( X,
% 0.86/1.23 'tc_Complex_Ocomplex' ), 'v_r', 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.23 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.86/1.23 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 0.86/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal'
% 0.86/1.23 ), 'c_RealVector_Onorm__class_Onorm'( 'v_c____', 'tc_Complex_Ocomplex' )
% 0.86/1.23 , 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 0.86/1.23 'c_HOL_Otimes__class_Otimes'( 'v_r', 'v_m____', 'tc_RealDef_Oreal' ),
% 0.86/1.23 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.86/1.23 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( 'v_x'( X ),
% 0.86/1.23 'tc_Complex_Ocomplex' ), 'v_r', 'tc_RealDef_Oreal' ), ~(
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.86/1.23 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.23 [ ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.86/1.23 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 0.86/1.23 'tc_Complex_Ocomplex' ), 'v_x'( X ), 'tc_Complex_Ocomplex' ),
% 0.86/1.23 'tc_Complex_Ocomplex' ), X, 'tc_RealDef_Oreal' ) ), ~(
% 0.86/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.86/1.23 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.86/1.23 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Polynomial_Opoly'(
% 0.86/1.23 X ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Polynomial_Opoly'( X ) )
% 0.86/1.23 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.86/1.23 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Complex_Ocomplex'
% 0.86/1.23 ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_RealDef_Oreal' )
% 0.86/1.23 ],
% 0.86/1.23 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.23 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.86/1.23 'tc_RealDef_Oreal' ) ],
% 0.86/1.23 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.86/1.23 'tc_RealDef_Oreal' ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.86/1.23 'tc_RealDef_Oreal' ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.86/1.23 'tc_RealDef_Oreal' ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.86/1.23 'tc_RealDef_Oreal' ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.86/1.23 'tc_RealDef_Oreal' ) ],
% 0.86/1.23 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 0.86/1.23 ) ],
% 0.86/1.23 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 0.86/1.23 ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 0.86/1.23 ) ],
% 0.86/1.23 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 0.86/1.23 ],
% 0.86/1.23 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 0.86/1.23 ],
% 0.86/1.23 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_RealDef_Oreal' ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.23 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.23 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.23 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.23 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.23 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.23 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.23 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.23 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.23 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Osgn__if'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.23 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.23 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.23 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.23 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.23 [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.23 [ 'class_HOL_Ozero'( 'tc_RealDef_Oreal' ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.86/1.23 'tc_Complex_Ocomplex' ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.86/1.23 'tc_Complex_Ocomplex' ) ],
% 0.86/1.23 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.86/1.23 'tc_Complex_Ocomplex' ) ],
% 0.86/1.23 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 0.86/1.23 ) ],
% 0.86/1.23 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 0.86/1.23 ],
% 0.86/1.23 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.86/1.23 ],
% 0.86/1.23 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.86/1.23 ],
% 0.86/1.23 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.23 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.23 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.23 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.23 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.23 [ 'class_HOL_Ozero'( 'tc_Complex_Ocomplex' ) ],
% 0.86/1.23 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.86/1.23 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.86/1.23 X ) ) ],
% 0.86/1.23 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.86/1.23 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.86/1.23 X ) ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.86/1.23 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.86/1.23 X ) ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.86/1.23 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.86/1.23 X ) ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.86/1.23 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.86/1.23 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.86/1.23 X ) ) ],
% 0.86/1.23 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 0.86/1.23 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.86/1.23 X ) ) ],
% 0.86/1.23 [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 0.86/1.23 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.86/1.23 X ) ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.86/1.23 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.86/1.23 ,
% 0.86/1.23 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.86/1.23 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.23 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Polynomial_Opoly'(
% 0.86/1.23 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.86/1.23 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 0.86/1.23 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.86/1.23 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Polynomial_Opoly'( X
% 0.86/1.23 ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Polynomial_Opoly'( X
% 0.86/1.23 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Polynomial_Opoly'( X
% 0.86/1.23 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Polynomial_Opoly'( X
% 0.86/1.23 ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Polynomial_Opoly'( X )
% 0.86/1.23 ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Polynomial_Opoly'( X
% 0.86/1.23 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Polynomial_Opoly'( X
% 0.86/1.23 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.86/1.23 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Polynomial_Opoly'( X )
% 0.86/1.23 ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.86/1.23 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Polynomial_Opoly'( X ) )
% 0.86/1.23 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.86/1.23 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.86/1.23 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Polynomial_Opoly'( X ) )
% 0.86/1.23 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Polynomial_Opoly'( X ) )
% 0.86/1.23 , ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.86/1.23 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.86/1.23 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Polynomial_Opoly'( X ) )
% 0.86/1.23 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Polynomial_Opoly'( X ) )
% 0.86/1.23 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Polynomial_Opoly'( X ) ),
% 0.86/1.23 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.86/1.23 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Polynomial_Opoly'( X ) ),
% 0.86/1.23 ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.86/1.23 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Polynomial_Opoly'( X ) ),
% 0.86/1.23 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.86/1.23 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Osemiring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.86/1.23 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.23 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Osgn__if'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.86/1.23 [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.86/1.23 [ 'class_Orderings_Opreorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.86/1.23 [ 'class_Orderings_Olinorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.86/1.23 [ 'class_Orderings_Oorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.86/1.23 [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.86/1.23 [ 'class_Power_Opower'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.86/1.23 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.86/1.23 [ 'class_HOL_Ozero'( 'tc_Polynomial_Opoly'( X ) ), ~( 'class_HOL_Ozero'(
% 0.86/1.23 X ) ) ]
% 0.86/1.23 ] .
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 percentage equality = 0.113065, percentage horn = 0.821839
% 0.86/1.23 This is a problem with some equality
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23
% 0.86/1.23 Options Used:
% 0.86/1.23
% 0.86/1.23 useres = 1
% 0.86/1.23 useparamod = 1
% 0.86/1.23 useeqrefl = 1
% 0.86/1.23 useeqfact = 1
% 0.86/1.23 usefactor = 1
% 0.86/1.23 usesimpsplitting = 0
% 0.86/1.23 usesimpdemod = 5
% 0.86/1.23 usesimpres = 3
% 0.86/1.23
% 0.86/1.23 resimpinuse = 1000
% 0.86/1.23 resimpclauses = 20000
% 0.86/1.23 substype = eqrewr
% 0.86/1.23 backwardsubs = 1
% 0.86/1.23 selectoldest = 5
% 0.86/1.23
% 0.86/1.23 litorderings [0] = split
% 0.86/1.23 litorderings [1] = extend the termordering, first sorting on arguments
% 0.86/1.23
% 0.86/1.23 termordering = kbo
% 0.86/1.23
% 0.86/1.23 litapriori = 0
% 0.86/1.23 termapriori = 1
% 0.86/1.23 litaposteriori = 0
% 0.86/1.23 termaposteriori = 0
% 0.86/1.23 demodaposteriori = 0
% 0.86/1.23 ordereqreflfact = 0
% 0.86/1.23
% 0.86/1.23 litselect = negord
% 0.86/1.23
% 0.86/1.23 maxweight = 15
% 0.86/1.23 maxdepth = 30000
% 0.86/1.23 maxlength = 115
% 0.86/1.23 maxnrvars = 195
% 0.86/1.23 excuselevel = 1
% 0.86/1.23 increasemaxweight = 1
% 0.86/1.23
% 0.86/1.23 maxselected = 10000000
% 0.86/1.23 maxnrclauses = 10000000
% 0.86/1.23
% 0.86/1.23 showgenerated = 0
% 0.86/1.23 showkept = 0
% 0.86/1.23 showselected = 0
% 0.86/1.23 showdeleted = 0
% 0.86/1.23 showresimp = 1
% 0.86/1.23 showstatus = 2000
% 0.86/1.23
% 0.86/1.23 prologoutput = 1
% 0.86/1.23 nrgoals = 5000000
% 0.86/1.23 totalproof = 1
% 0.86/1.23
% 0.86/1.23 Symbols occurring in the translation:
% 0.86/1.23
% 0.86/1.23 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.86/1.23 . [1, 2] (w:1, o:111, a:1, s:1, b:0),
% 0.86/1.23 ! [4, 1] (w:0, o:47, a:1, s:1, b:0),
% 0.86/1.23 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.86/1.23 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.86/1.23 'class_Ring__and__Field_Oordered__idom' [40, 1] (w:1, o:54, a:1, s:1
% 0.86/1.23 , b:0),
% 0.86/1.23 'c_HOL_Osgn__class_Osgn' [42, 2] (w:1, o:136, a:1, s:1, b:0),
% 0.86/1.23 'c_HOL_Ozero__class_Ozero' [43, 1] (w:1, o:55, a:1, s:1, b:0),
% 0.86/1.23 'c_HOL_Oord__class_Oless' [44, 3] (w:1, o:143, a:1, s:1, b:0),
% 0.86/1.23 'class_Ring__and__Field_Oordered__field' [45, 1] (w:1, o:56, a:1, s:1
% 0.86/1.23 , b:0),
% 0.86/1.23 'class_Ring__and__Field_Odivision__by__zero' [46, 1] (w:1, o:61, a:1
% 0.86/1.23 , s:1, b:0),
% 0.86/1.23 'c_HOL_Oinverse__class_Odivide' [48, 3] (w:1, o:144, a:1, s:1, b:0),
% 0.86/1.23
% 0.86/1.23 'class_Ring__and__Field_Oordered__ring__strict' [51, 1] (w:1, o:62
% 0.86/1.23 , a:1, s:1, b:0),
% 0.86/1.23 'c_HOL_Otimes__class_Otimes' [53, 3] (w:1, o:145, a:1, s:1, b:0),
% 0.86/1.23 'class_OrderedGroup_Olordered__ab__group__add' [54, 1] (w:1, o:63, a:
% 0.86/1.23 1, s:1, b:0),
% 0.86/1.23 'c_HOL_Oplus__class_Oplus' [55, 3] (w:1, o:146, a:1, s:1, b:0),
% 0.86/1.23 'class_Ring__and__Field_Oordered__semidom' [56, 1] (w:1, o:64, a:1
% 0.86/1.23 , s:1, b:0),
% 0.86/1.23 'class_Ring__and__Field_Oordered__semiring__strict' [57, 1] (w:1, o:
% 0.86/1.23 65, a:1, s:1, b:0),
% 0.86/1.23 'c_Power_Opower__class_Opower' [59, 3] (w:1, o:147, a:1, s:1, b:0),
% 0.86/1.23 'class_OrderedGroup_Opordered__comm__monoid__add' [60, 1] (w:1, o:66
% 0.86/1.23 , a:1, s:1, b:0),
% 0.86/1.23 'c_lessequals' [61, 3] (w:1, o:148, a:1, s:1, b:0),
% 0.86/1.23 'class_Ring__and__Field_Ocomm__semiring__0' [63, 1] (w:1, o:58, a:1
% 0.86/1.23 , s:1, b:0),
% 0.86/1.23 'c_Polynomial_OpCons' [65, 3] (w:1, o:149, a:1, s:1, b:0),
% 0.86/1.23 'c_Polynomial_Opoly' [66, 3] (w:1, o:150, a:1, s:1, b:0),
% 0.86/1.23 'c_Polynomial_Opos__poly' [67, 2] (w:1, o:137, a:1, s:1, b:0),
% 0.86/1.23 'class_RealVector_Oreal__normed__algebra' [68, 1] (w:1, o:67, a:1, s:
% 0.86/1.23 1, b:0),
% 0.86/1.23 'c_RealVector_Onorm__class_Onorm' [69, 2] (w:1, o:138, a:1, s:1, b:0)
% 0.86/1.23 ,
% 0.86/1.23 'tc_RealDef_Oreal' [72, 0] (w:1, o:33, a:1, s:1, b:0),
% 0.86/1.23 'class_OrderedGroup_Opordered__ab__semigroup__add' [73, 1] (w:1, o:68
% 0.86/1.23 , a:1, s:1, b:0),
% 0.86/1.23 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [74, 1]
% 0.86/1.23 (w:1, o:69, a:1, s:1, b:0),
% 0.86/1.23 'class_OrderedGroup_Opordered__ab__group__add' [76, 1] (w:1, o:70, a:
% 0.86/1.23 1, s:1, b:0),
% 0.86/1.23 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [77, 1]
% 5.45/5.87 (w:1, o:71, a:1, s:1, b:0),
% 5.45/5.87 'class_Ring__and__Field_Ocomm__semiring__1' [78, 1] (w:1, o:59, a:1
% 5.45/5.87 , s:1, b:0),
% 5.45/5.87 'class_OrderedGroup_Ocomm__monoid__add' [79, 1] (w:1, o:72, a:1, s:1
% 5.45/5.87 , b:0),
% 5.45/5.87 'class_Ring__and__Field_Oidom' [80, 1] (w:1, o:73, a:1, s:1, b:0),
% 5.45/5.87 'class_Int_Onumber__ring' [81, 1] (w:1, o:75, a:1, s:1, b:0),
% 5.45/5.87 'class_OrderedGroup_Omonoid__add' [82, 1] (w:1, o:76, a:1, s:1, b:0)
% 5.45/5.87 ,
% 5.45/5.87 'class_RealVector_Oreal__normed__vector' [83, 1] (w:1, o:77, a:1, s:1
% 5.45/5.87 , b:0),
% 5.45/5.87 'class_RealVector_Oreal__normed__field' [84, 1] (w:1, o:78, a:1, s:1
% 5.45/5.87 , b:0),
% 5.45/5.87 'class_Ring__and__Field_Ofield' [85, 1] (w:1, o:79, a:1, s:1, b:0),
% 5.45/5.87 'class_Ring__and__Field_Oordered__comm__semiring__strict' [86, 1] (w:
% 5.45/5.87 1, o:80, a:1, s:1, b:0),
% 5.45/5.87 'class_Ring__and__Field_Opordered__cancel__semiring' [87, 1] (w:1, o:
% 5.45/5.87 82, a:1, s:1, b:0),
% 5.45/5.87 'class_Ring__and__Field_Opordered__semiring' [88, 1] (w:1, o:84, a:1
% 5.45/5.87 , s:1, b:0),
% 5.45/5.87 'class_Ring__and__Field_Opordered__ring' [89, 1] (w:1, o:83, a:1, s:1
% 5.45/5.87 , b:0),
% 5.45/5.87 'class_Ring__and__Field_Omult__mono' [90, 1] (w:1, o:85, a:1, s:1, b:
% 5.45/5.87 0),
% 5.45/5.87 'class_Ring__and__Field_Omult__mono1' [91, 1] (w:1, o:86, a:1, s:1
% 5.45/5.87 , b:0),
% 5.45/5.87 'c_RealDef_Oreal__of__preal' [92, 1] (w:1, o:87, a:1, s:1, b:0),
% 5.45/5.87 'c_Transcendental_Oln' [95, 1] (w:1, o:88, a:1, s:1, b:0),
% 5.45/5.87 'class_Ring__and__Field_Ono__zero__divisors' [97, 1] (w:1, o:53, a:1
% 5.45/5.87 , s:1, b:0),
% 5.45/5.87 'class_Ring__and__Field_Oring__no__zero__divisors' [98, 1] (w:1, o:89
% 5.45/5.87 , a:1, s:1, b:0),
% 5.45/5.87 'class_Ring__and__Field_Ozero__neq__one' [99, 1] (w:1, o:90, a:1, s:1
% 5.45/5.87 , b:0),
% 5.45/5.87 'class_Ring__and__Field_Omult__zero' [100, 1] (w:1, o:52, a:1, s:1
% 5.45/5.87 , b:0),
% 5.45/5.87 'class_Power_Opower' [101, 1] (w:1, o:103, a:1, s:1, b:0),
% 5.45/5.87 'class_Ring__and__Field_Oring__1__no__zero__divisors' [102, 1] (w:1
% 5.45/5.87 , o:104, a:1, s:1, b:0),
% 5.45/5.87 'class_Ring__and__Field_Osgn__if' [103, 1] (w:1, o:105, a:1, s:1, b:0
% 5.45/5.87 ),
% 5.45/5.87 'class_Ring__and__Field_Osemiring' [105, 1] (w:1, o:106, a:1, s:1, b:
% 5.45/5.87 0),
% 5.45/5.87 'class_OrderedGroup_Oab__semigroup__add' [107, 1] (w:1, o:91, a:1, s:
% 5.45/5.87 1, b:0),
% 5.45/5.87 'class_OrderedGroup_Oab__group__add' [108, 1] (w:1, o:92, a:1, s:1
% 5.45/5.87 , b:0),
% 5.45/5.87 'class_OrderedGroup_Oab__semigroup__idem__mult' [113, 1] (w:1, o:93
% 5.45/5.87 , a:1, s:1, b:0),
% 5.45/5.87 'class_OrderedGroup_Ocomm__monoid__mult' [115, 1] (w:1, o:94, a:1, s:
% 5.45/5.87 1, b:0),
% 5.45/5.87 'class_OrderedGroup_Oab__semigroup__mult' [116, 1] (w:1, o:95, a:1
% 5.45/5.87 , s:1, b:0),
% 5.45/5.87 'class_Ring__and__Field_Ocomm__semiring' [122, 1] (w:1, o:60, a:1, s:
% 5.45/5.87 1, b:0),
% 5.45/5.87 'class_OrderedGroup_Ocancel__ab__semigroup__add' [123, 1] (w:1, o:96
% 5.45/5.87 , a:1, s:1, b:0),
% 5.45/5.87 'class_OrderedGroup_Ocancel__semigroup__add' [124, 1] (w:1, o:97, a:1
% 5.45/5.87 , s:1, b:0),
% 5.45/5.87 'class_RealVector_Oreal__normed__div__algebra' [126, 1] (w:1, o:107
% 5.45/5.87 , a:1, s:1, b:0),
% 5.45/5.87 'class_OrderedGroup_Omonoid__mult' [127, 1] (w:1, o:98, a:1, s:1, b:0
% 5.45/5.87 ),
% 5.45/5.87 'class_Ring__and__Field_Oordered__semiring' [128, 1] (w:1, o:81, a:1
% 5.45/5.87 , s:1, b:0),
% 5.45/5.87 'c_RComplete_Osko__RComplete__XRats__dense__in__nn__real__1__1' [129, 2
% 5.45/5.87 ] (w:1, o:139, a:1, s:1, b:0),
% 5.45/5.87 'v_cs____' [130, 0] (w:1, o:40, a:1, s:1, b:0),
% 5.45/5.87 'v_r' [131, 0] (w:1, o:41, a:1, s:1, b:0),
% 5.45/5.87 'v_sko__local__XpCons__Xhyps__1' [132, 2] (w:1, o:140, a:1, s:1, b:0)
% 5.45/5.87 ,
% 5.45/5.87 'v_sko__local__XpCons__1' [133, 2] (w:1, o:141, a:1, s:1, b:0),
% 5.45/5.87 'tc_Complex_Ocomplex' [134, 0] (w:1, o:42, a:1, s:1, b:0),
% 5.45/5.87 'v_m____' [135, 0] (w:1, o:43, a:1, s:1, b:0),
% 5.45/5.87 'class_Orderings_Oorder' [136, 1] (w:1, o:99, a:1, s:1, b:0),
% 5.45/5.87 'class_Orderings_Olinorder' [137, 1] (w:1, o:100, a:1, s:1, b:0),
% 5.45/5.87 'class_Orderings_Opreorder' [138, 1] (w:1, o:101, a:1, s:1, b:0),
% 5.45/5.87 'class_HOL_Ozero' [142, 1] (w:1, o:74, a:1, s:1, b:0),
% 5.45/5.87 'v_c____' [143, 0] (w:1, o:45, a:1, s:1, b:0),
% 5.45/5.87 'c_HOL_Oone__class_Oone' [144, 1] (w:1, o:108, a:1, s:1, b:0),
% 5.45/5.87 'c_HOL_Oabs__class_Oabs' [145, 2] (w:1, o:142, a:1, s:1, b:0),
% 5.45/5.87 'v_x' [146, 1] (w:1, o:109, a:1, s:1, b:0),
% 30.80/31.19 'tc_Polynomial_Opoly' [148, 1] (w:1, o:110, a:1, s:1, b:0),
% 30.80/31.19 'class_OrderedGroup_Ocancel__comm__monoid__add' [149, 1] (w:1, o:102
% 30.80/31.19 , a:1, s:1, b:0),
% 30.80/31.19 'class_Ring__and__Field_Ocomm__ring__1' [150, 1] (w:1, o:57, a:1, s:1
% 30.80/31.19 , b:0).
% 30.80/31.19
% 30.80/31.19
% 30.80/31.19 Starting Search:
% 30.80/31.19
% 30.80/31.19 Resimplifying inuse:
% 30.80/31.19 Done
% 30.80/31.19
% 30.80/31.19
% 30.80/31.19 Intermediate Status:
% 30.80/31.19 Generated: 4385
% 30.80/31.19 Kept: 2001
% 30.80/31.19 Inuse: 194
% 30.80/31.19 Deleted: 2
% 30.80/31.19 Deletedinuse: 0
% 30.80/31.19
% 30.80/31.19 Resimplifying inuse:
% 30.80/31.19 Done
% 30.80/31.19
% 30.80/31.19 Resimplifying inuse:
% 30.80/31.19 Done
% 30.80/31.19
% 30.80/31.19
% 30.80/31.19 Intermediate Status:
% 30.80/31.19 Generated: 11613
% 30.80/31.19 Kept: 4386
% 30.80/31.19 Inuse: 337
% 30.80/31.19 Deleted: 4
% 30.80/31.19 Deletedinuse: 0
% 30.80/31.19
% 30.80/31.19 Resimplifying inuse:
% 30.80/31.19 Done
% 30.80/31.19
% 30.80/31.19 Resimplifying inuse:
% 30.80/31.19 Done
% 30.80/31.19
% 30.80/31.19
% 30.80/31.19 Intermediate Status:
% 30.80/31.19 Generated: 19625
% 30.80/31.19 Kept: 6390
% 30.80/31.19 Inuse: 418
% 30.80/31.19 Deleted: 4
% 30.80/31.19 Deletedinuse: 0
% 30.80/31.19
% 30.80/31.19 Resimplifying inuse:
% 30.80/31.19 Done
% 30.80/31.19
% 30.80/31.19 Resimplifying inuse:
% 30.80/31.19 Done
% 30.80/31.19
% 30.80/31.19
% 30.80/31.19 Intermediate Status:
% 30.80/31.19 Generated: 28894
% 30.80/31.19 Kept: 8798
% 30.80/31.19 Inuse: 466
% 30.80/31.19 Deleted: 5
% 30.80/31.19 Deletedinuse: 0
% 30.80/31.19
% 30.80/31.19 Resimplifying inuse:
% 30.80/31.19 Done
% 30.80/31.19
% 30.80/31.19 Resimplifying inuse:
% 30.80/31.19 Done
% 30.80/31.19
% 30.80/31.19
% 30.80/31.19 Intermediate Status:
% 30.80/31.19 Generated: 36952
% 30.80/31.19 Kept: 10915
% 30.80/31.19 Inuse: 538
% 30.80/31.19 Deleted: 8
% 30.80/31.19 Deletedinuse: 0
% 30.80/31.19
% 30.80/31.19 Resimplifying inuse:
% 30.80/31.19 Done
% 30.80/31.19
% 30.80/31.19 Resimplifying inuse:
% 30.80/31.19 Done
% 30.80/31.19
% 30.80/31.19
% 30.80/31.19 Intermediate Status:
% 30.80/31.19 Generated: 43906
% 30.80/31.19 Kept: 12922
% 30.80/31.19 Inuse: 579
% 30.80/31.19 Deleted: 8
% 30.80/31.19 Deletedinuse: 0
% 30.80/31.19
% 30.80/31.19 Resimplifying inuse:
% 30.80/31.19 Done
% 30.80/31.19
% 30.80/31.19 Resimplifying inuse:
% 30.80/31.19 Done
% 30.80/31.19
% 30.80/31.19
% 30.80/31.19 Intermediate Status:
% 30.80/31.19 Generated: 50918
% 30.80/31.19 Kept: 16525
% 30.80/31.19 Inuse: 618
% 30.80/31.19 Deleted: 8
% 30.80/31.19 Deletedinuse: 0
% 30.80/31.19
% 30.80/31.19 Resimplifying inuse:
% 30.80/31.19 Done
% 30.80/31.19
% 30.80/31.19 Resimplifying inuse:
% 30.80/31.19 Done
% 30.80/31.19
% 30.80/31.19
% 30.80/31.19 Intermediate Status:
% 30.80/31.19 Generated: 59049
% 30.80/31.19 Kept: 18616
% 30.80/31.19 Inuse: 663
% 30.80/31.19 Deleted: 8
% 30.80/31.19 Deletedinuse: 0
% 30.80/31.19
% 30.80/31.19 Resimplifying inuse:
% 30.80/31.19 Done
% 30.80/31.19
% 30.80/31.19 Resimplifying inuse:
% 30.80/31.19 Done
% 30.80/31.19
% 30.80/31.19 Resimplifying clauses:
% 30.80/31.19 Done
% 30.80/31.19
% 30.80/31.19
% 30.80/31.19 Intermediate Status:
% 30.80/31.19 Generated: 67671
% 30.80/31.19 Kept: 20639
% 30.80/31.19 Inuse: 708
% 30.80/31.19 Deleted: 632
% 30.80/31.19 Deletedinuse: 0
% 30.80/31.19
% 30.80/31.19 Resimplifying inuse:
% 30.80/31.19 Done
% 30.80/31.19
% 30.80/31.19
% 30.80/31.19 Intermediate Status:
% 30.80/31.19 Generated: 72464
% 30.80/31.19 Kept: 22983
% 30.80/31.19 Inuse: 726
% 30.80/31.19 Deleted: 632
% 30.80/31.19 Deletedinuse: 0
% 30.80/31.19
% 30.80/31.19 Resimplifying inuse:
% 30.80/31.19 Done
% 30.80/31.19
% 30.80/31.19 Resimplifying inuse:
% 30.80/31.19 Done
% 30.80/31.19
% 30.80/31.19
% 30.80/31.19 Intermediate Status:
% 30.80/31.19 Generated: 84830
% 30.80/31.19 Kept: 25059
% 30.80/31.19 Inuse: 803
% 30.80/31.19 Deleted: 632
% 30.80/31.19 Deletedinuse: 0
% 30.80/31.19
% 30.80/31.19 Resimplifying inuse:
% 30.80/31.19 Done
% 30.80/31.19
% 30.80/31.19 Resimplifying inuse:
% 30.80/31.19 Done
% 30.80/31.19
% 30.80/31.19
% 30.80/31.19 Intermediate Status:
% 30.80/31.19 Generated: 95467
% 30.80/31.19 Kept: 27216
% 30.80/31.19 Inuse: 873
% 30.80/31.19 Deleted: 632
% 30.80/31.19 Deletedinuse: 0
% 30.80/31.19
% 30.80/31.19 Resimplifying inuse:
% 30.80/31.19 Done
% 30.80/31.19
% 30.80/31.19 Resimplifying inuse:
% 30.80/31.19 Done
% 30.80/31.19
% 30.80/31.19
% 30.80/31.19 Intermediate Status:
% 30.80/31.19 Generated: 112547
% 30.80/31.19 Kept: 29969
% 30.80/31.19 Inuse: 916
% 30.80/31.19 Deleted: 636
% 30.80/31.19 Deletedinuse: 2
% 30.80/31.19
% 30.80/31.19 Resimplifying inuse:
% 30.80/31.19 Done
% 30.80/31.19
% 30.80/31.19 Resimplifying inuse:
% 30.80/31.19 Done
% 30.80/31.19
% 30.80/31.19
% 30.80/31.19 Intermediate Status:
% 30.80/31.19 Generated: 128518
% 30.80/31.19 Kept: 32788
% 30.80/31.19 Inuse: 971
% 30.80/31.19 Deleted: 636
% 30.80/31.19 Deletedinuse: 2
% 30.80/31.19
% 30.80/31.19 Resimplifying inuse:
% 30.80/31.19 Done
% 30.80/31.19
% 30.80/31.19
% 30.80/31.19 Intermediate Status:
% 30.80/31.19 Generated: 136967
% 30.80/31.19 Kept: 35147
% 30.80/31.19 Inuse: 991
% 30.80/31.19 Deleted: 636
% 30.80/31.19 Deletedinuse: 2
% 30.80/31.19
% 30.80/31.19 Resimplifying inuse:
% 30.80/31.19 Done
% 30.80/31.19
% 30.80/31.19 Resimplifying inuse:
% 30.80/31.19 Done
% 30.80/31.19
% 30.80/31.19
% 30.80/31.19 Intermediate Status:
% 30.80/31.19 Generated: 154969
% 30.80/31.19 Kept: 37183
% 30.80/31.19 Inuse: 1026
% 30.80/31.19 Deleted: 636
% 30.80/31.19 Deletedinuse: 2
% 30.80/31.19
% 30.80/31.19 Resimplifying inuse:
% 30.80/31.19 Done
% 30.80/31.19
% 30.80/31.19 Resimplifying inuse:
% 30.80/31.19 Done
% 30.80/31.19
% 30.80/31.19
% 30.80/31.19 Intermediate Status:
% 30.80/31.19 Generated: 165725
% 30.80/31.19 Kept: 39481
% 30.80/31.19 Inuse: 1056
% 30.80/31.19 Deleted: 636
% 30.80/31.19 Deletedinuse: 2
% 30.80/31.19
% 30.80/31.19 Resimplifying inuse:
% 30.80/31.19 Done
% 30.80/31.19
% 30.80/31.19 Resimplifying clauses:
% 30.80/31.19 Done
% 30.80/31.19
% 30.80/31.19 Resimplifying inuse:
% 30.80/31.19 Done
% 30.80/31.19
% 30.80/31.19
% 30.80/31.19 Intermediate Status:
% 30.80/31.19 Generated: 175667
% 30.80/31.19 Kept: 41805
% 30.80/31.19 Inuse: 1086
% 30.80/31.19 Deleted: 2098
% 30.80/31.19 Deletedinuse: 2
% 30.80/31.19
% 30.80/31.19 Resimplifying inuse:
% 30.80/31.19 Done
% 30.80/31.19
% 30.80/31.19
% 30.80/31.19 Intermediate Status:
% 30.80/31.19 Generated: 196481
% 30.80/31.19 Kept: 45371
% 30.80/31.19 Inuse: 1101
% 30.80/31.19 Deleted: 2098
% 30.80/31.19 Deletedinuse: 2
% 30.80/31.19
% 30.80/31.19 Resimplifying inuse:
% 30.80/31.19 Done
% 30.80/31.19
% 30.80/31.19 Resimplifying inuse:
% 30.80/31.19 Done
% 30.80/31.19
% 30.80/31.19
% 30.80/31.19 Intermediate Status:
% 30.80/31.19 Generated: 216556
% 30.80/31.19 Kept: 48084
% 30.80/31.19 Inuse: 1111
% 30.80/31.19 Deleted: 2098
% 30.80/31.19 Deletedinuse: 2
% 30.80/31.19
% 30.80/31.19 Resimplifying inuse:
% 30.80/31.19 Done
% 30.80/31.19
% 30.80/31.19
% 30.80/31.19 Intermediate Status:
% 30.80/31.19 Generated: 225664
% 30.80/31.19 Kept: 50158
% 30.80/31.19 Inuse: 1126
% 30.80/31.19 Deleted: 2098
% 30.80/31.19 Deletedinuse: 2
% 30.80/31.19
% 30.80/31.19 Resimplifying inuse:
% 30.80/31.19 Done
% 30.80/31.19
% 30.80/31.19 Resimplifying inuse:
% 30.80/31.19 Done
% 30.80/31.19
% 30.80/31.19
% 30.80/31.19 Intermediate Status:
% 30.80/31.19 Generated: 241476
% 30.80/31.19 Kept: 52184
% 30.80/31.19 Inuse: 1196
% 30.80/31.19 Deleted: 2099
% 30.80/31.19 Deletedinuse: 3
% 30.80/31.19
% 30.80/31.19 Resimplifying inuse:
% 30.80/31.19 Done
% 30.80/31.19
% 30.80/31.19
% 30.80/31.19 Intermediate Status:
% 30.80/31.19 Generated: 258793
% 30.80/31.19 Kept: 54476
% 30.80/31.19 Inuse: 1241
% 30.80/31.19 Deleted: 2099
% 30.80/31.19 Deletedinuse: 3
% 30.80/31.19
% 30.80/31.19 Resimplifying inuse:
% 30.80/31.19 Done
% 30.80/31.19
% 30.80/31.19
% 30.80/31.19 Intermediate Status:
% 119.71/120.15 Generated: 271283
% 119.71/120.15 Kept: 57513
% 119.71/120.15 Inuse: 1242
% 119.71/120.15 Deleted: 2100
% 119.71/120.15 Deletedinuse: 4
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15
% 119.71/120.15 Intermediate Status:
% 119.71/120.15 Generated: 291309
% 119.71/120.15 Kept: 59602
% 119.71/120.15 Inuse: 1261
% 119.71/120.15 Deleted: 2346
% 119.71/120.15 Deletedinuse: 250
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15 Resimplifying clauses:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15
% 119.71/120.15 Intermediate Status:
% 119.71/120.15 Generated: 303681
% 119.71/120.15 Kept: 61791
% 119.71/120.15 Inuse: 1271
% 119.71/120.15 Deleted: 7419
% 119.71/120.15 Deletedinuse: 250
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15
% 119.71/120.15 Intermediate Status:
% 119.71/120.15 Generated: 313674
% 119.71/120.15 Kept: 63914
% 119.71/120.15 Inuse: 1331
% 119.71/120.15 Deleted: 7419
% 119.71/120.15 Deletedinuse: 250
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15
% 119.71/120.15 Intermediate Status:
% 119.71/120.15 Generated: 339663
% 119.71/120.15 Kept: 66004
% 119.71/120.15 Inuse: 1356
% 119.71/120.15 Deleted: 7419
% 119.71/120.15 Deletedinuse: 250
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15
% 119.71/120.15 Intermediate Status:
% 119.71/120.15 Generated: 359790
% 119.71/120.15 Kept: 68351
% 119.71/120.15 Inuse: 1366
% 119.71/120.15 Deleted: 7419
% 119.71/120.15 Deletedinuse: 250
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15
% 119.71/120.15 Intermediate Status:
% 119.71/120.15 Generated: 397301
% 119.71/120.15 Kept: 72489
% 119.71/120.15 Inuse: 1396
% 119.71/120.15 Deleted: 7419
% 119.71/120.15 Deletedinuse: 250
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15
% 119.71/120.15 Intermediate Status:
% 119.71/120.15 Generated: 416970
% 119.71/120.15 Kept: 74787
% 119.71/120.15 Inuse: 1401
% 119.71/120.15 Deleted: 7419
% 119.71/120.15 Deletedinuse: 250
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15
% 119.71/120.15 Intermediate Status:
% 119.71/120.15 Generated: 449202
% 119.71/120.15 Kept: 77433
% 119.71/120.15 Inuse: 1416
% 119.71/120.15 Deleted: 7419
% 119.71/120.15 Deletedinuse: 250
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15
% 119.71/120.15 Intermediate Status:
% 119.71/120.15 Generated: 475901
% 119.71/120.15 Kept: 79586
% 119.71/120.15 Inuse: 1436
% 119.71/120.15 Deleted: 7419
% 119.71/120.15 Deletedinuse: 250
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15 Resimplifying clauses:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15
% 119.71/120.15 Intermediate Status:
% 119.71/120.15 Generated: 483808
% 119.71/120.15 Kept: 81586
% 119.71/120.15 Inuse: 1462
% 119.71/120.15 Deleted: 7879
% 119.71/120.15 Deletedinuse: 250
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15
% 119.71/120.15 Intermediate Status:
% 119.71/120.15 Generated: 494131
% 119.71/120.15 Kept: 83664
% 119.71/120.15 Inuse: 1481
% 119.71/120.15 Deleted: 7879
% 119.71/120.15 Deletedinuse: 250
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15
% 119.71/120.15 Intermediate Status:
% 119.71/120.15 Generated: 501878
% 119.71/120.15 Kept: 85890
% 119.71/120.15 Inuse: 1506
% 119.71/120.15 Deleted: 7879
% 119.71/120.15 Deletedinuse: 250
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15
% 119.71/120.15 Intermediate Status:
% 119.71/120.15 Generated: 512154
% 119.71/120.15 Kept: 88148
% 119.71/120.15 Inuse: 1531
% 119.71/120.15 Deleted: 7879
% 119.71/120.15 Deletedinuse: 250
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15
% 119.71/120.15 Intermediate Status:
% 119.71/120.15 Generated: 525674
% 119.71/120.15 Kept: 90537
% 119.71/120.15 Inuse: 1566
% 119.71/120.15 Deleted: 7879
% 119.71/120.15 Deletedinuse: 250
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15
% 119.71/120.15 Intermediate Status:
% 119.71/120.15 Generated: 545262
% 119.71/120.15 Kept: 93530
% 119.71/120.15 Inuse: 1596
% 119.71/120.15 Deleted: 7879
% 119.71/120.15 Deletedinuse: 250
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15
% 119.71/120.15 Intermediate Status:
% 119.71/120.15 Generated: 558800
% 119.71/120.15 Kept: 95625
% 119.71/120.15 Inuse: 1636
% 119.71/120.15 Deleted: 7879
% 119.71/120.15 Deletedinuse: 250
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15
% 119.71/120.15 Intermediate Status:
% 119.71/120.15 Generated: 568319
% 119.71/120.15 Kept: 97803
% 119.71/120.15 Inuse: 1661
% 119.71/120.15 Deleted: 7882
% 119.71/120.15 Deletedinuse: 253
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15
% 119.71/120.15 Intermediate Status:
% 119.71/120.15 Generated: 588749
% 119.71/120.15 Kept: 102056
% 119.71/120.15 Inuse: 1686
% 119.71/120.15 Deleted: 7882
% 119.71/120.15 Deletedinuse: 253
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15 Resimplifying clauses:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15
% 119.71/120.15 Intermediate Status:
% 119.71/120.15 Generated: 603635
% 119.71/120.15 Kept: 105019
% 119.71/120.15 Inuse: 1691
% 119.71/120.15 Deleted: 9325
% 119.71/120.15 Deletedinuse: 253
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15
% 119.71/120.15 Intermediate Status:
% 119.71/120.15 Generated: 618492
% 119.71/120.15 Kept: 109684
% 119.71/120.15 Inuse: 1696
% 119.71/120.15 Deleted: 9325
% 119.71/120.15 Deletedinuse: 253
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15
% 119.71/120.15 Intermediate Status:
% 119.71/120.15 Generated: 644838
% 119.71/120.15 Kept: 112332
% 119.71/120.15 Inuse: 1706
% 119.71/120.15 Deleted: 9325
% 119.71/120.15 Deletedinuse: 253
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15
% 119.71/120.15 Intermediate Status:
% 119.71/120.15 Generated: 654180
% 119.71/120.15 Kept: 114529
% 119.71/120.15 Inuse: 1711
% 119.71/120.15 Deleted: 9325
% 119.71/120.15 Deletedinuse: 253
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15
% 119.71/120.15 Intermediate Status:
% 119.71/120.15 Generated: 682318
% 119.71/120.15 Kept: 117589
% 119.71/120.15 Inuse: 1721
% 119.71/120.15 Deleted: 9325
% 119.71/120.15 Deletedinuse: 253
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15
% 119.71/120.15 Intermediate Status:
% 119.71/120.15 Generated: 711968
% 119.71/120.15 Kept: 121400
% 119.71/120.15 Inuse: 1731
% 119.71/120.15 Deleted: 9325
% 119.71/120.15 Deletedinuse: 253
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15
% 119.71/120.15 Intermediate Status:
% 119.71/120.15 Generated: 720868
% 119.71/120.15 Kept: 124164
% 119.71/120.15 Inuse: 1736
% 119.71/120.15 Deleted: 9325
% 119.71/120.15 Deletedinuse: 253
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15 Resimplifying clauses:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15
% 119.71/120.15 Intermediate Status:
% 119.71/120.15 Generated: 730553
% 119.71/120.15 Kept: 126357
% 119.71/120.15 Inuse: 1741
% 119.71/120.15 Deleted: 9531
% 119.71/120.15 Deletedinuse: 253
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15
% 119.71/120.15 Intermediate Status:
% 119.71/120.15 Generated: 745189
% 119.71/120.15 Kept: 129113
% 119.71/120.15 Inuse: 1771
% 119.71/120.15 Deleted: 9531
% 119.71/120.15 Deletedinuse: 253
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15
% 119.71/120.15 Intermediate Status:
% 119.71/120.15 Generated: 756336
% 119.71/120.15 Kept: 131118
% 119.71/120.15 Inuse: 1793
% 119.71/120.15 Deleted: 9531
% 119.71/120.15 Deletedinuse: 253
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15
% 119.71/120.15 Intermediate Status:
% 119.71/120.15 Generated: 792393
% 119.71/120.15 Kept: 133133
% 119.71/120.15 Inuse: 1893
% 119.71/120.15 Deleted: 9531
% 119.71/120.15 Deletedinuse: 253
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15
% 119.71/120.15 Intermediate Status:
% 119.71/120.15 Generated: 993116
% 119.71/120.15 Kept: 135740
% 119.71/120.15 Inuse: 2296
% 119.71/120.15 Deleted: 9531
% 119.71/120.15 Deletedinuse: 253
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15
% 119.71/120.15 Intermediate Status:
% 119.71/120.15 Generated: 1270918
% 119.71/120.15 Kept: 137757
% 119.71/120.15 Inuse: 2403
% 119.71/120.15 Deleted: 9531
% 119.71/120.15 Deletedinuse: 253
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15
% 119.71/120.15 Intermediate Status:
% 119.71/120.15 Generated: 1438792
% 119.71/120.15 Kept: 139770
% 119.71/120.15 Inuse: 2588
% 119.71/120.15 Deleted: 9531
% 119.71/120.15 Deletedinuse: 253
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15
% 119.71/120.15 Intermediate Status:
% 119.71/120.15 Generated: 1550608
% 119.71/120.15 Kept: 141771
% 119.71/120.15 Inuse: 2717
% 119.71/120.15 Deleted: 9531
% 119.71/120.15 Deletedinuse: 253
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15
% 119.71/120.15 Intermediate Status:
% 119.71/120.15 Generated: 1752935
% 119.71/120.15 Kept: 143771
% 119.71/120.15 Inuse: 2923
% 119.71/120.15 Deleted: 9532
% 119.71/120.15 Deletedinuse: 253
% 119.71/120.15
% 119.71/120.15 Resimplifying inuse:
% 119.71/120.15 Done
% 119.71/120.15
% 119.71/120.15 Resimplifying clauses:
% 119.71/120.15
% 119.71/120.15 Bliksems!, er is een bewijs:
% 119.71/120.15 % SZS status Unsatisfiable
% 119.71/120.15 % SZS output start Refutation
% 119.71/120.15
% 119.71/120.15 clause( 380, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 119.71/120.15 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 119.71/120.15 'tc_Complex_Ocomplex' ), X, 'tc_Complex_Ocomplex' ),
% 119.71/120.15 'tc_Complex_Ocomplex' ), 'c_HOL_Oplus__class_Oplus'(
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal'
% 119.71/120.15 ), 'c_RealVector_Onorm__class_Onorm'( 'v_c____', 'tc_Complex_Ocomplex' )
% 119.71/120.15 , 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( 'v_r', 'v_m____', 'tc_RealDef_Oreal' ),
% 119.71/120.15 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 119.71/120.15 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( X,
% 119.71/120.15 'tc_Complex_Ocomplex' ), 'v_r', 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.15 .
% 119.71/120.15 clause( 381, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 119.71/120.15 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal'
% 119.71/120.15 ), 'c_RealVector_Onorm__class_Onorm'( 'v_c____', 'tc_Complex_Ocomplex' )
% 119.71/120.15 , 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( 'v_r', 'v_m____', 'tc_RealDef_Oreal' ),
% 119.71/120.15 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 119.71/120.15 .
% 119.71/120.15 clause( 382, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( 'v_x'( X
% 119.71/120.15 ), 'tc_Complex_Ocomplex' ), 'v_r', 'tc_RealDef_Oreal' ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 119.71/120.15 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.15 .
% 119.71/120.15 clause( 383, [ ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 119.71/120.15 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 119.71/120.15 'tc_Complex_Ocomplex' ), 'v_x'( X ), 'tc_Complex_Ocomplex' ),
% 119.71/120.15 'tc_Complex_Ocomplex' ), X, 'tc_RealDef_Oreal' ) ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 119.71/120.15 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.15 .
% 119.71/120.15 clause( 129897, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( 'v_x'(
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 119.71/120.15 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 119.71/120.15 'c_RealVector_Onorm__class_Onorm'( 'v_c____', 'tc_Complex_Ocomplex' ),
% 119.71/120.15 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( 'v_r', 'v_m____', 'tc_RealDef_Oreal' ),
% 119.71/120.15 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'tc_Complex_Ocomplex' ),
% 119.71/120.15 'v_r', 'tc_RealDef_Oreal' ) ] )
% 119.71/120.15 .
% 119.71/120.15 clause( 130395, [ ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 119.71/120.15 'v_x'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 119.71/120.15 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 119.71/120.15 'c_RealVector_Onorm__class_Onorm'( 'v_c____', 'tc_Complex_Ocomplex' ),
% 119.71/120.15 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( 'v_r', 'v_m____', 'tc_RealDef_Oreal' ),
% 119.71/120.15 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'tc_Complex_Ocomplex' ),
% 119.71/120.15 'v_r', 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.15 .
% 119.71/120.15 clause( 144226, [] )
% 119.71/120.15 .
% 119.71/120.15
% 119.71/120.15
% 119.71/120.15 % SZS output end Refutation
% 119.71/120.15 found a proof!
% 119.71/120.15
% 119.71/120.15 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 119.71/120.15
% 119.71/120.15 initialclauses(
% 119.71/120.15 [ clause( 144228, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144229, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144230, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144231, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 119.71/120.15 , clause( 144232, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 119.71/120.15 , clause( 144233, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144234, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ] )
% 119.71/120.15 , clause( 144235, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 119.71/120.15 , clause( 144236, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 119.71/120.15 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 119.71/120.15 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 119.71/120.15 , clause( 144237, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 119.71/120.15 , X ) ) ] )
% 119.71/120.15 , clause( 144238, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 119.71/120.15 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 119.71/120.15 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 119.71/120.15 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 119.71/120.15 , clause( 144239, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 119.71/120.15 , X ) ) ] )
% 119.71/120.15 , clause( 144240, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 119.71/120.15 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 119.71/120.15 , clause( 144241, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 119.71/120.15 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 119.71/120.15 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ] )
% 119.71/120.15 , clause( 144242, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ] )
% 119.71/120.15 , clause( 144243, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ] )
% 119.71/120.15 , clause( 144244, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ] )
% 119.71/120.15 , clause( 144245, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ] )
% 119.71/120.15 , clause( 144246, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 119.71/120.15 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 119.71/120.15 , clause( 144247, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 119.71/120.15 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 119.71/120.15 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 119.71/120.15 , clause( 144248, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 119.71/120.15 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 119.71/120.15 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 119.71/120.15 , clause( 144249, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 119.71/120.15 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 119.71/120.15 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144250, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 119.71/120.15 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 119.71/120.15 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 119.71/120.15 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 119.71/120.15 , clause( 144251, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 119.71/120.15 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 119.71/120.15 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 119.71/120.15 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 119.71/120.15 , clause( 144252, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 119.71/120.15 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 119.71/120.15 , clause( 144253, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144254, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 119.71/120.15 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144255, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 119.71/120.15 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 119.71/120.15 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144256, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144257, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144258, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Osgn__class_Osgn'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 119.71/120.15 , clause( 144259, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ] )
% 119.71/120.15 , clause( 144260, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144261, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 119.71/120.15 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144262, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144263, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 119.71/120.15 , clause( 144264, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ] )
% 119.71/120.15 , clause( 144265, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X )
% 119.71/120.15 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144266, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 119.71/120.15 , clause( 144267, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 119.71/120.15 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 119.71/120.15 , clause( 144268, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144269, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 119.71/120.15 , clause( 144270, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 119.71/120.15 , clause( 144271, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144272, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 119.71/120.15 , Y, X ), X ) ) ] )
% 119.71/120.15 , clause( 144273, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 119.71/120.15 , T, X ), X ) ) ] )
% 119.71/120.15 , clause( 144274, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 119.71/120.15 , T, X ), X ) ) ] )
% 119.71/120.15 , clause( 144275, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 119.71/120.15 , Y, X ), X ) ) ] )
% 119.71/120.15 , clause( 144276, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 119.71/120.15 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 119.71/120.15 ] )
% 119.71/120.15 , clause( 144277, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 119.71/120.15 )
% 119.71/120.15 , clause( 144278, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 119.71/120.15 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ] )
% 119.71/120.15 , clause( 144279, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 119.71/120.15 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 119.71/120.15 , clause( 144280, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 119.71/120.15 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ] )
% 119.71/120.15 , clause( 144281, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 119.71/120.15 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 119.71/120.15 , clause( 144282, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 119.71/120.15 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 119.71/120.15 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 119.71/120.15 , clause( 144283, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 119.71/120.15 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 119.71/120.15 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ] )
% 119.71/120.15 , clause( 144284, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 119.71/120.15 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 119.71/120.15 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 119.71/120.15 , clause( 144285, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 119.71/120.15 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 119.71/120.15 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 119.71/120.15 , clause( 144286, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 119.71/120.15 , clause( 144287, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 119.71/120.15 , clause( 144288, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 119.71/120.15 , clause( 144289, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 119.71/120.15 , clause( 144290, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 119.71/120.15 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ] )
% 119.71/120.15 , clause( 144291, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 119.71/120.15 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 119.71/120.15 , clause( 144292, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 119.71/120.15 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ] )
% 119.71/120.15 , clause( 144293, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 119.71/120.15 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 119.71/120.15 , clause( 144294, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 119.71/120.15 =( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X ),
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 119.71/120.15 'c_Polynomial_Opoly'( Z, T, X ), X ), X ) ) ] )
% 119.71/120.15 , clause( 144295, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 119.71/120.15 'c_Polynomial_Opos__poly'( 'c_Polynomial_OpCons'( Y, Z, X ), X ), ~(
% 119.71/120.15 'c_Polynomial_Opos__poly'( Z, X ) ) ] )
% 119.71/120.15 , clause( 144296, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( T, U, 'tc_RealDef_Oreal' ),
% 119.71/120.15 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_RealVector_Onorm__class_Onorm'( Z, X ), U, 'tc_RealDef_Oreal' ) ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ), T,
% 119.71/120.15 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.15 , clause( 144297, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 119.71/120.15 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 119.71/120.15 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 119.71/120.15 'tc_RealDef_Oreal' ) ] )
% 119.71/120.15 , clause( 144298, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 119.71/120.15 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 119.71/120.15 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 119.71/120.15 'tc_RealDef_Oreal' ) ), =( Y, Z ) ] )
% 119.71/120.15 , clause( 144299, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 119.71/120.15 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 119.71/120.15 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 119.71/120.15 'tc_RealDef_Oreal' ) ), =( X, Z ) ] )
% 119.71/120.15 , clause( 144300, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 119.71/120.15 X ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 119.71/120.15 ) ] )
% 119.71/120.15 , clause( 144301, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 119.71/120.15 X ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 119.71/120.15 ) ] )
% 119.71/120.15 , clause( 144302, [ ~(
% 119.71/120.15 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 119.71/120.15 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 119.71/120.15 T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ) ) ] )
% 119.71/120.15 , clause( 144303, [ ~(
% 119.71/120.15 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 119.71/120.15 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 119.71/120.15 ) ] )
% 119.71/120.15 , clause( 144304, [ ~(
% 119.71/120.15 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 119.71/120.15 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 119.71/120.15 Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 119.71/120.15 , clause( 144305, [ ~(
% 119.71/120.15 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 119.71/120.15 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 119.71/120.15 ) ] )
% 119.71/120.15 , clause( 144306, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 119.71/120.15 X ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 119.71/120.15 ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 119.71/120.15 , clause( 144307, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 119.71/120.15 ), 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 119.71/120.15 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ] )
% 119.71/120.15 , clause( 144308, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y
% 119.71/120.15 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 119.71/120.15 X ), 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ] )
% 119.71/120.15 , clause( 144309, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y
% 119.71/120.15 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T,
% 119.71/120.15 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 119.71/120.15 , clause( 144310, [ ~(
% 119.71/120.15 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 119.71/120.15 , clause( 144311, [ ~(
% 119.71/120.15 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 119.71/120.15 X ), X ) ) ] )
% 119.71/120.15 , clause( 144312, [ ~(
% 119.71/120.15 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 Z, T, X ) ) ] )
% 119.71/120.15 , clause( 144313, [ ~(
% 119.71/120.15 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 Z, T, X ) ) ] )
% 119.71/120.15 , clause( 144314, [ ~(
% 119.71/120.15 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 119.71/120.15 X ), X ) ) ] )
% 119.71/120.15 , clause( 144315, [ ~(
% 119.71/120.15 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 Y, T, X ) ) ] )
% 119.71/120.15 , clause( 144316, [ ~(
% 119.71/120.15 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 Y, T, X ) ) ] )
% 119.71/120.15 , clause( 144317, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 119.71/120.15 , clause( 144318, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 119.71/120.15 , clause( 144319, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 119.71/120.15 X ), X ) ) ] )
% 119.71/120.15 , clause( 144320, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 119.71/120.15 X ), X ) ) ] )
% 119.71/120.15 , clause( 144321, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ] )
% 119.71/120.15 , clause( 144322, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), X
% 119.71/120.15 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 119.71/120.15 , clause( 144323, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 119.71/120.15 , clause( 144324, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 119.71/120.15 , clause( 144325, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 119.71/120.15 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144326, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 119.71/120.15 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 119.71/120.15 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 119.71/120.15 X ), Z, X ) ) ] )
% 119.71/120.15 , clause( 144327, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 119.71/120.15 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 119.71/120.15 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 119.71/120.15 Z, X ), X ) ) ] )
% 119.71/120.15 , clause( 144328, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 119.71/120.15 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 119.71/120.15 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 119.71/120.15 Z, X ), X ) ) ] )
% 119.71/120.15 , clause( 144329, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 119.71/120.15 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 119.71/120.15 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 119.71/120.15 X ), Z, X ) ) ] )
% 119.71/120.15 , clause( 144330, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 119.71/120.15 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 119.71/120.15 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 119.71/120.15 X ), Z, X ) ) ] )
% 119.71/120.15 , clause( 144331, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 119.71/120.15 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 119.71/120.15 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 119.71/120.15 X ), T, X ) ) ] )
% 119.71/120.15 , clause( 144332, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ] )
% 119.71/120.15 , clause( 144333, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 119.71/120.15 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 119.71/120.15 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 119.71/120.15 , clause( 144334, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 119.71/120.15 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 119.71/120.15 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 119.71/120.15 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 119.71/120.15 , clause( 144335, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 119.71/120.15 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 119.71/120.15 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 119.71/120.15 Y, T, X ), Z, X ) ) ] )
% 119.71/120.15 , clause( 144336, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 119.71/120.15 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 119.71/120.15 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 119.71/120.15 Y, T, X ), Z, X ) ) ] )
% 119.71/120.15 , clause( 144337, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 119.71/120.15 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 119.71/120.15 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 119.71/120.15 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 119.71/120.15 , Y, X ) ) ] )
% 119.71/120.15 , clause( 144338, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 119.71/120.15 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 119.71/120.15 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 119.71/120.15 , Z, X ) ] )
% 119.71/120.15 , clause( 144339, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 119.71/120.15 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 119.71/120.15 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 119.71/120.15 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 119.71/120.15 , Z, X ) ] )
% 119.71/120.15 , clause( 144340, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 119.71/120.15 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 119.71/120.15 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 119.71/120.15 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 119.71/120.15 ), X ) ) ] )
% 119.71/120.15 , clause( 144341, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 119.71/120.15 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 119.71/120.15 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 119.71/120.15 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 119.71/120.15 ), X ) ) ] )
% 119.71/120.15 , clause( 144342, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 119.71/120.15 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 119.71/120.15 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 119.71/120.15 , T, X ) ] )
% 119.71/120.15 , clause( 144343, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 119.71/120.15 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 119.71/120.15 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 119.71/120.15 , T, X ) ] )
% 119.71/120.15 , clause( 144344, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 119.71/120.15 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 119.71/120.15 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 119.71/120.15 Z, X ) ) ] )
% 119.71/120.15 , clause( 144345, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 119.71/120.15 , clause( 144346, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 119.71/120.15 , clause( 144347, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 119.71/120.15 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 119.71/120.15 ) ] )
% 119.71/120.15 , clause( 144348, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 119.71/120.15 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 119.71/120.15 ) ] )
% 119.71/120.15 , clause( 144349, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 119.71/120.15 ] )
% 119.71/120.15 , clause( 144350, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 119.71/120.15 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 119.71/120.15 ) ] )
% 119.71/120.15 , clause( 144351, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 119.71/120.15 'class_Int_Onumber__ring'( X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144352, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 119.71/120.15 ] )
% 119.71/120.15 , clause( 144353, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 119.71/120.15 ] )
% 119.71/120.15 , clause( 144354, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 119.71/120.15 ] )
% 119.71/120.15 , clause( 144355, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 119.71/120.15 =( 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 119.71/120.15 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 119.71/120.15 , clause( 144356, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 119.71/120.15 =( 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 119.71/120.15 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 119.71/120.15 , clause( 144357, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 119.71/120.15 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 119.71/120.15 , clause( 144358, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 119.71/120.15 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 119.71/120.15 , clause( 144359, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 119.71/120.15 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 119.71/120.15 , clause( 144360, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 119.71/120.15 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 119.71/120.15 , clause( 144361, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 119.71/120.15 ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 119.71/120.15 )
% 119.71/120.15 , clause( 144362, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 119.71/120.15 'class_Int_Onumber__ring'( X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y
% 119.71/120.15 , Z, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 119.71/120.15 , clause( 144363, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144364, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144365, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144366, [ ~(
% 119.71/120.15 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 119.71/120.15 , clause( 144367, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144368, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 119.71/120.15 , clause( 144369, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 119.71/120.15 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 119.71/120.15 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 119.71/120.15 , clause( 144370, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ] )
% 119.71/120.15 , clause( 144371, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144372, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 119.71/120.15 , clause( 144373, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 119.71/120.15 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 119.71/120.15 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 119.71/120.15 , clause( 144374, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 119.71/120.15 , clause( 144375, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 119.71/120.15 , clause( 144376, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 119.71/120.15 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 119.71/120.15 X ), T, X ) ) ] )
% 119.71/120.15 , clause( 144377, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144378, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 119.71/120.15 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144379, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 119.71/120.15 ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144380, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 119.71/120.15 ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144381, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 119.71/120.15 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 119.71/120.15 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144382, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 119.71/120.15 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 119.71/120.15 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144383, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 119.71/120.15 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 119.71/120.15 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 119.71/120.15 , clause( 144384, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 119.71/120.15 ), X ) ) ] )
% 119.71/120.15 , clause( 144385, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 119.71/120.15 ), X ) ) ] )
% 119.71/120.15 , clause( 144386, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 119.71/120.15 ), X ) ) ] )
% 119.71/120.15 , clause( 144387, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 119.71/120.15 ), X ) ) ] )
% 119.71/120.15 , clause( 144388, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 119.71/120.15 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 119.71/120.15 , clause( 144389, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 119.71/120.15 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 119.71/120.15 , clause( 144390, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 119.71/120.15 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 119.71/120.15 , clause( 144391, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 119.71/120.15 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 119.71/120.15 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ] )
% 119.71/120.15 , clause( 144392, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 119.71/120.15 ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 119.71/120.15 , clause( 144393, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 119.71/120.15 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 119.71/120.15 , clause( 144394, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 119.71/120.15 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144395, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 119.71/120.15 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 119.71/120.15 , clause( 144396, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 119.71/120.15 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144397, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 119.71/120.15 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 119.71/120.15 , clause( 144398, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144399, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 119.71/120.15 , clause( 144400, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) )
% 119.71/120.15 , 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 119.71/120.15 , ~( 'c_lessequals'( Y, T, X ) ) ] )
% 119.71/120.15 , clause( 144401, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) )
% 119.71/120.15 , 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 119.71/120.15 , ~( 'c_lessequals'( Y, T, X ) ) ] )
% 119.71/120.15 , clause( 144402, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 119.71/120.15 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 119.71/120.15 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 119.71/120.15 , clause( 144403, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 119.71/120.15 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 119.71/120.15 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 119.71/120.15 , clause( 144404, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 119.71/120.15 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 119.71/120.15 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 119.71/120.15 , clause( 144405, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 119.71/120.15 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 119.71/120.15 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 119.71/120.15 , clause( 144406, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 119.71/120.15 X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 119.71/120.15 , clause( 144407, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144408, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 119.71/120.15 , clause( 144409, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ] )
% 119.71/120.15 , clause( 144410, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 119.71/120.15 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144411, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 119.71/120.15 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144412, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 119.71/120.15 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 119.71/120.15 , clause( 144413, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 119.71/120.15 )
% 119.71/120.15 , clause( 144414, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 119.71/120.15 ] )
% 119.71/120.15 , clause( 144415, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 119.71/120.15 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 119.71/120.15 )
% 119.71/120.15 , clause( 144416, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 119.71/120.15 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Y,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 119.71/120.15 )
% 119.71/120.15 , clause( 144417, [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ),
% 119.71/120.15 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 119.71/120.15 ] )
% 119.71/120.15 , clause( 144418, [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ),
% 119.71/120.15 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 119.71/120.15 ] )
% 119.71/120.15 , clause( 144419, [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ),
% 119.71/120.15 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 119.71/120.15 ] )
% 119.71/120.15 , clause( 144420, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 119.71/120.15 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 119.71/120.15 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144421, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 119.71/120.15 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 119.71/120.15 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144422, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 119.71/120.15 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 119.71/120.15 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144423, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 119.71/120.15 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 119.71/120.15 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144424, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 119.71/120.15 ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 119.71/120.15 , clause( 144425, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 119.71/120.15 ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 119.71/120.15 , clause( 144426, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 119.71/120.15 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 119.71/120.15 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144427, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 119.71/120.15 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 119.71/120.15 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 119.71/120.15 , clause( 144428, [ ~(
% 119.71/120.15 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 119.71/120.15 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 119.71/120.15 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ] )
% 119.71/120.15 , clause( 144429, [ ~(
% 119.71/120.15 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 119.71/120.15 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 119.71/120.15 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 119.71/120.15 , clause( 144430, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 119.71/120.15 ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 119.71/120.15 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 119.71/120.15 )
% 119.71/120.15 , clause( 144431, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 119.71/120.15 ), X ) ) ] )
% 119.71/120.15 , clause( 144432, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 119.71/120.15 ), X ) ) ] )
% 119.71/120.15 , clause( 144433, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 119.71/120.15 ), X ) ) ] )
% 119.71/120.15 , clause( 144434, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 119.71/120.15 ), X ) ) ] )
% 119.71/120.15 , clause( 144435, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 119.71/120.15 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 119.71/120.15 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 119.71/120.15 ] )
% 119.71/120.15 , clause( 144436, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y
% 119.71/120.15 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 119.71/120.15 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 119.71/120.15 ), X ) ) ] )
% 119.71/120.15 , clause( 144437, [ ~(
% 119.71/120.15 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 119.71/120.15 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 119.71/120.15 , clause( 144438, [ ~(
% 119.71/120.15 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 119.71/120.15 , clause( 144439, [ 'c_HOL_Oord__class_Oless'( X,
% 119.71/120.15 'c_RealDef_Oreal__of__preal'( Y ), 'tc_RealDef_Oreal' ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 119.71/120.15 ), X, 'tc_RealDef_Oreal' ) ] )
% 119.71/120.15 , clause( 144440, [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 119.71/120.15 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 119.71/120.15 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, X,
% 119.71/120.15 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 119.71/120.15 , clause( 144441, [ ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 119.71/120.15 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 119.71/120.15 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.15 , clause( 144442, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 119.71/120.15 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal__of__preal'( X ),
% 119.71/120.15 'tc_RealDef_Oreal' ) ] )
% 119.71/120.15 , clause( 144443, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 119.71/120.15 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal__of__preal'( X ),
% 119.71/120.15 'tc_RealDef_Oreal' ) ] )
% 119.71/120.15 , clause( 144444, [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X )
% 119.71/120.15 , 'c_Transcendental_Oln'( Y ), 'tc_RealDef_Oreal' ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 119.71/120.15 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 119.71/120.15 ) ] )
% 119.71/120.15 , clause( 144445, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ),
% 119.71/120.15 ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ),
% 119.71/120.15 'c_Transcendental_Oln'( Y ), 'tc_RealDef_Oreal' ) ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 119.71/120.15 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 119.71/120.15 ) ] )
% 119.71/120.15 , clause( 144446, [ ~( =( 'c_Transcendental_Oln'( X ),
% 119.71/120.15 'c_Transcendental_Oln'( Y ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 119.71/120.15 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 119.71/120.15 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X, Y ) ] )
% 119.71/120.15 , clause( 144447, [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X )
% 119.71/120.15 , X, 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 119.71/120.15 ) ] )
% 119.71/120.15 , clause( 144448, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 119.71/120.15 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 119.71/120.15 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 119.71/120.15 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 119.71/120.15 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.15 , clause( 144449, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 119.71/120.15 X, Y, 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 119.71/120.15 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 119.71/120.15 ) ] )
% 119.71/120.15 , clause( 144450, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 119.71/120.15 X, Y, 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 119.71/120.15 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 119.71/120.15 ) ] )
% 119.71/120.15 , clause( 144451, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ),
% 119.71/120.15 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z,
% 119.71/120.15 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 119.71/120.15 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 119.71/120.15 ), Z, 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.15 , clause( 144452, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 119.71/120.15 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 119.71/120.15 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 119.71/120.15 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 119.71/120.15 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 119.71/120.15 )
% 119.71/120.15 , clause( 144453, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 119.71/120.15 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 119.71/120.15 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 119.71/120.15 , clause( 144454, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 119.71/120.15 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 119.71/120.15 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 119.71/120.15 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 119.71/120.15 , clause( 144455, [ ~(
% 119.71/120.15 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 119.71/120.15 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X
% 119.71/120.15 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 119.71/120.15 ) ) ] )
% 119.71/120.15 , clause( 144456, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 119.71/120.15 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 119.71/120.15 , clause( 144457, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 119.71/120.15 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 119.71/120.15 , clause( 144458, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 119.71/120.15 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 119.71/120.15 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144459, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 119.71/120.15 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 119.71/120.15 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 119.71/120.15 , clause( 144460, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 119.71/120.15 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 119.71/120.15 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 119.71/120.15 , clause( 144461, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 119.71/120.15 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 119.71/120.15 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 119.71/120.15 , clause( 144462, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 119.71/120.15 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144463, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 119.71/120.15 ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 119.71/120.15 ) ) ] )
% 119.71/120.15 , clause( 144464, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) )
% 119.71/120.15 , ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 119.71/120.15 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 119.71/120.15 , clause( 144465, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) )
% 119.71/120.15 , ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 119.71/120.15 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 119.71/120.15 , clause( 144466, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 119.71/120.15 X ) ), ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 119.71/120.15 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 119.71/120.15 , clause( 144467, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 119.71/120.15 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 119.71/120.15 ) ) ] )
% 119.71/120.15 , clause( 144468, [ ~(
% 119.71/120.15 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~( =(
% 119.71/120.15 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 119.71/120.15 ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 119.71/120.15 , clause( 144469, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 119.71/120.15 )
% 119.71/120.15 , clause( 144470, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 119.71/120.15 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 119.71/120.15 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 119.71/120.15 , clause( 144471, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 119.71/120.15 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 119.71/120.15 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 119.71/120.15 , clause( 144472, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 119.71/120.15 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 119.71/120.15 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 119.71/120.15 , clause( 144473, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 119.71/120.15 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 119.71/120.15 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 119.71/120.15 , clause( 144474, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 119.71/120.15 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 119.71/120.15 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 119.71/120.15 , clause( 144475, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 119.71/120.15 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 119.71/120.15 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 119.71/120.15 , clause( 144476, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 119.71/120.15 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 119.71/120.15 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 119.71/120.15 , clause( 144477, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 119.71/120.15 , clause( 144478, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 119.71/120.15 , clause( 144479, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 119.71/120.15 X ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 119.71/120.15 , clause( 144480, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 119.71/120.15 X ) ), =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 119.71/120.15 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 119.71/120.15 , clause( 144481, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 119.71/120.15 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 119.71/120.15 , clause( 144482, [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 119.71/120.15 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 119.71/120.15 , clause( 144483, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 119.71/120.15 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 119.71/120.15 , clause( 144484, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144485, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 119.71/120.15 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 119.71/120.15 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 119.71/120.15 , clause( 144486, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 119.71/120.15 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 119.71/120.15 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 119.71/120.15 , clause( 144487, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 119.71/120.15 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 119.71/120.15 Y, T, X ), Z, X ) ) ] )
% 119.71/120.15 , clause( 144488, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 119.71/120.15 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 119.71/120.15 , clause( 144489, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 119.71/120.15 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 119.71/120.15 , clause( 144490, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 119.71/120.15 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ] )
% 119.71/120.15 , clause( 144491, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 119.71/120.15 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T,
% 119.71/120.15 X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 119.71/120.15 , X ) ) ] )
% 119.71/120.15 , clause( 144492, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 119.71/120.15 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ),
% 119.71/120.15 X ), 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X )
% 119.71/120.15 , X ) ) ] )
% 119.71/120.15 , clause( 144493, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 119.71/120.15 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T,
% 119.71/120.15 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z
% 119.71/120.15 , X ) ) ] )
% 119.71/120.15 , clause( 144494, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 119.71/120.15 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ),
% 119.71/120.15 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 119.71/120.15 , X ) ) ] )
% 119.71/120.15 , clause( 144495, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 119.71/120.15 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 119.71/120.15 ) ) ] )
% 119.71/120.15 , clause( 144496, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 119.71/120.15 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 119.71/120.15 ) ) ] )
% 119.71/120.15 , clause( 144497, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 119.71/120.15 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ),
% 119.71/120.15 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 119.71/120.15 , X ) ) ] )
% 119.71/120.15 , clause( 144498, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 119.71/120.15 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 119.71/120.15 ) ) ] )
% 119.71/120.15 , clause( 144499, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 119.71/120.15 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 119.71/120.15 ) ) ] )
% 119.71/120.15 , clause( 144500, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 119.71/120.15 =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 119.71/120.15 Z, Y, X ) ) ] )
% 119.71/120.15 , clause( 144501, [ =( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 119.71/120.15 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, X,
% 119.71/120.15 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.15 , clause( 144502, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 119.71/120.15 =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 119.71/120.15 Z, Y, X ) ) ] )
% 119.71/120.15 , clause( 144503, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 119.71/120.15 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 119.71/120.15 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 119.71/120.15 Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 119.71/120.15 , clause( 144504, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 119.71/120.15 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 119.71/120.15 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 119.71/120.15 Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 119.71/120.15 , clause( 144505, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 119.71/120.15 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 119.71/120.15 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ] )
% 119.71/120.15 , clause( 144506, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 119.71/120.15 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 119.71/120.15 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ] )
% 119.71/120.15 , clause( 144507, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 119.71/120.15 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 119.71/120.15 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ] )
% 119.71/120.15 , clause( 144508, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 119.71/120.15 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 119.71/120.15 , clause( 144509, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 119.71/120.15 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 119.71/120.15 , clause( 144510, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ] )
% 119.71/120.15 , clause( 144511, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ] )
% 119.71/120.15 , clause( 144512, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 119.71/120.15 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 119.71/120.15 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 119.71/120.15 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 119.71/120.15 Z, T, X ), X ) ) ] )
% 119.71/120.15 , clause( 144513, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 119.71/120.15 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 119.71/120.15 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ] )
% 119.71/120.15 , clause( 144514, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X )
% 119.71/120.15 ), =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y,
% 119.71/120.15 Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ] )
% 119.71/120.15 , clause( 144515, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 119.71/120.15 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y,
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 119.71/120.15 Y, 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 119.71/120.15 , clause( 144516, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y
% 119.71/120.15 , X ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 119.71/120.15 ) ) ] )
% 119.71/120.15 , clause( 144517, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y
% 119.71/120.15 , X ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 119.71/120.15 ) ) ] )
% 119.71/120.15 , clause( 144518, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X )
% 119.71/120.15 ), =( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ] )
% 119.71/120.15 , clause( 144519, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 119.71/120.15 =( 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 119.71/120.15 ), T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 119.71/120.15 Y, T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ] )
% 119.71/120.15 , clause( 144520, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 119.71/120.15 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 119.71/120.15 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 119.71/120.15 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ] )
% 119.71/120.15 , clause( 144521, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 119.71/120.15 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 119.71/120.15 , T, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'(
% 119.71/120.15 Z, T, X ), X ) ) ] )
% 119.71/120.15 , clause( 144522, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 119.71/120.15 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 119.71/120.15 , T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y,
% 119.71/120.15 T, X ), Z, X ) ) ] )
% 119.71/120.15 , clause( 144523, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 119.71/120.15 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 119.71/120.15 , T, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'(
% 119.71/120.15 Z, T, X ), X ) ) ] )
% 119.71/120.15 , clause( 144524, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 119.71/120.15 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 119.71/120.15 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 119.71/120.15 , X ), T, X ) ) ] )
% 119.71/120.15 , clause( 144525, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 119.71/120.15 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 119.71/120.15 ), X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y
% 119.71/120.15 , T, X ), X ) ) ] )
% 119.71/120.15 , clause( 144526, [ =( 'c_HOL_Otimes__class_Otimes'(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ), Z,
% 119.71/120.15 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X,
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 119.71/120.15 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.15 , clause( 144527, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 119.71/120.15 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 119.71/120.15 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 119.71/120.15 , X ), T, X ) ) ] )
% 119.71/120.15 , clause( 144528, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 119.71/120.15 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 119.71/120.15 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X
% 119.71/120.15 ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 119.71/120.15 , clause( 144529, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 119.71/120.15 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 119.71/120.15 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 119.71/120.15 ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 119.71/120.15 , clause( 144530, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 119.71/120.15 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 119.71/120.15 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 119.71/120.15 ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 119.71/120.15 , clause( 144531, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 119.71/120.15 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 119.71/120.15 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X
% 119.71/120.15 ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 119.71/120.15 , clause( 144532, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 119.71/120.15 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 119.71/120.15 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X
% 119.71/120.15 ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 119.71/120.15 , clause( 144533, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 119.71/120.15 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 119.71/120.15 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 119.71/120.15 ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 119.71/120.15 , clause( 144534, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 119.71/120.15 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 119.71/120.15 , clause( 144535, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 119.71/120.15 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 119.71/120.15 ) ) ] )
% 119.71/120.15 , clause( 144536, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 119.71/120.15 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 119.71/120.15 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ] )
% 119.71/120.15 , clause( 144537, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 119.71/120.15 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 119.71/120.15 , clause( 144538, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 119.71/120.15 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 119.71/120.15 , clause( 144539, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 119.71/120.15 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 119.71/120.15 X ), X ) ) ] )
% 119.71/120.15 , clause( 144540, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 119.71/120.15 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 119.71/120.15 , X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ] )
% 119.71/120.15 , clause( 144541, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X
% 119.71/120.15 ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ] )
% 119.71/120.15 , clause( 144542, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) )
% 119.71/120.15 , ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 119.71/120.15 Y, T, X ) ) ), =( Z, T ) ] )
% 119.71/120.15 , clause( 144543, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) )
% 119.71/120.15 , ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 119.71/120.15 T, Z, X ) ) ), =( Y, T ) ] )
% 119.71/120.15 , clause( 144544, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 119.71/120.15 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ] )
% 119.71/120.15 , clause( 144545, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 119.71/120.15 =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z,
% 119.71/120.15 Y, X ) ) ] )
% 119.71/120.15 , clause( 144546, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 119.71/120.15 =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z,
% 119.71/120.15 Y, X ) ) ] )
% 119.71/120.15 , clause( 144547, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 119.71/120.15 X ) ) ] )
% 119.71/120.15 , clause( 144548, [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X )
% 119.71/120.15 ), =( 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y
% 119.71/120.15 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 119.71/120.15 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 119.71/120.15 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.15 , clause( 144549, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 119.71/120.15 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 119.71/120.15 Y, Z, X ), X ) ) ] )
% 119.71/120.15 , clause( 144550, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 119.71/120.15 , X ) ) ] )
% 119.71/120.15 , clause( 144551, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 119.71/120.15 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 119.71/120.15 , U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 119.71/120.15 Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ),
% 119.71/120.15 =( Y, T ) ] )
% 119.71/120.15 , clause( 144552, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 119.71/120.15 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 119.71/120.15 , U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 119.71/120.15 Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ),
% 119.71/120.15 =( Y, T ) ] )
% 119.71/120.15 , clause( 144553, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 119.71/120.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 119.71/120.15 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 119.71/120.15 ) ] )
% 119.71/120.15 , clause( 144554, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 119.71/120.15 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 119.71/120.15 , clause( 144555, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 119.71/120.15 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 119.71/120.15 , clause( 144556, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 119.71/120.15 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 119.71/120.15 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 119.71/120.15 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 119.71/120.15 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 119.71/120.15 , clause( 144557, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 119.71/120.15 ) ) ] )
% 119.71/120.15 , clause( 144558, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 119.71/120.15 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ] )
% 119.71/120.15 , clause( 144559, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 119.71/120.15 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 119.71/120.15 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ] )
% 119.71/120.15 , clause( 144560, [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X )
% 119.71/120.15 ), =( 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 119.71/120.15 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 119.71/120.15 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ] )
% 119.71/120.15 , clause( 144561, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 119.71/120.15 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 119.71/120.15 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ] )
% 119.71/120.15 , clause( 144562, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 119.71/120.15 , clause( 144563, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 119.71/120.15 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 119.71/120.15 , clause( 144564, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 119.71/120.15 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144565, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 119.71/120.15 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144566, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 119.71/120.15 Z, T, X ), X ) ) ] )
% 119.71/120.15 , clause( 144567, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 119.71/120.15 X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 119.71/120.15 , T, X ), X ) ) ] )
% 119.71/120.15 , clause( 144568, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 119.71/120.15 X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 119.71/120.15 , Z, X ), X ) ) ] )
% 119.71/120.15 , clause( 144569, [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 119.71/120.15 , T, X ), X ) ) ] )
% 119.71/120.15 , clause( 144570, [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 119.71/120.15 , Z, X ), X ) ) ] )
% 119.71/120.15 , clause( 144571, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 119.71/120.15 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 119.71/120.15 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 119.71/120.15 , clause( 144572, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 119.71/120.15 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 119.71/120.15 ] )
% 119.71/120.15 , clause( 144573, [ ~(
% 119.71/120.15 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 119.71/120.15 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 119.71/120.15 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 119.71/120.15 , clause( 144574, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 119.71/120.15 X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 119.71/120.15 , T, X ), X ) ) ] )
% 119.71/120.15 , clause( 144575, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 119.71/120.15 X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 119.71/120.15 , Z, X ), X ) ) ] )
% 119.71/120.15 , clause( 144576, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 119.71/120.15 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 119.71/120.15 ) ) ] )
% 119.71/120.15 , clause( 144577, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 119.71/120.15 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 119.71/120.15 X ), T, X ) ) ] )
% 119.71/120.15 , clause( 144578, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 119.71/120.15 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 119.71/120.15 ) ) ] )
% 119.71/120.15 , clause( 144579, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 119.71/120.15 ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 119.71/120.15 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 119.71/120.15 , clause( 144580, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 119.71/120.15 , clause( 144581, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ] )
% 119.71/120.15 , clause( 144582, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 119.71/120.15 , clause( 144583, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 119.71/120.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 119.71/120.15 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ] )
% 119.71/120.15 , clause( 144584, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 119.71/120.15 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 119.71/120.15 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.15 , clause( 144585, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 119.71/120.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 119.71/120.15 'c_Polynomial_Opos__poly'( Z, X ), ~( 'c_Polynomial_Opos__poly'(
% 119.71/120.15 'c_Polynomial_OpCons'( Y, Z, X ), X ) ) ] )
% 119.71/120.15 , clause( 144586, [ 'c_lessequals'( 'c_Transcendental_Oln'( X ),
% 119.71/120.15 'c_Transcendental_Oln'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 119.71/120.15 Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 119.71/120.15 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 119.71/120.15 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.15 , clause( 144587, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 119.71/120.15 'c_lessequals'( 'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y )
% 119.71/120.15 , 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 119.71/120.15 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 119.71/120.15 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.15 , clause( 144588, [ 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_RComplete_Osko__RComplete__XRats__dense__in__nn__real__1__1'( X, Y ),
% 119.71/120.15 Y, 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 119.71/120.15 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 119.71/120.15 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.15 , clause( 144589, [ 'c_HOL_Oord__class_Oless'( X,
% 119.71/120.15 'c_RComplete_Osko__RComplete__XRats__dense__in__nn__real__1__1'( X, Y ),
% 119.71/120.15 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 119.71/120.15 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 119.71/120.15 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.15 , clause( 144590, [ 'c_HOL_Oord__class_Oless'( X,
% 119.71/120.15 'c_RealDef_Oreal__of__preal'( Y ), 'tc_RealDef_Oreal' ), ~(
% 119.71/120.15 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 119.71/120.15 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.15 , clause( 144591, [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 119.71/120.15 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 119.71/120.15 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z,
% 119.71/120.15 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 119.71/120.15 ) ] )
% 119.71/120.15 , clause( 144592, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 119.71/120.15 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' )
% 119.71/120.15 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 119.71/120.15 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 119.71/120.15 ) ] )
% 119.71/120.15 , clause( 144593, [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 119.71/120.15 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 119.71/120.15 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z,
% 119.71/120.15 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 119.71/120.15 ) ] )
% 119.71/120.15 , clause( 144594, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 119.71/120.15 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' )
% 119.71/120.15 , 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 119.71/120.15 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.15 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 119.71/120.15 ) ] )
% 119.71/120.15 , clause( 144595, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 119.71/120.15 Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 119.71/120.15 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 119.71/120.15 Z, 'c_RealVector_Onorm__class_Onorm'( T, X ), 'tc_RealDef_Oreal' ),
% 119.71/120.15 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 119.71/120.15 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.15 , clause( 144596, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 119.71/120.15 'tc_RealDef_Oreal' ), 'v_sko__local__XpCons__Xhyps__1'( 'v_cs____', 'v_r'
% 119.71/120.16 ), 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144597, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 119.71/120.16 'tc_RealDef_Oreal' ), 'v_sko__local__XpCons__1'( 'v_cs____', 'v_r' ),
% 119.71/120.16 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144598, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 119.71/120.16 'c_Polynomial_Opoly'( 'v_cs____', X, 'tc_Complex_Ocomplex' ),
% 119.71/120.16 'tc_Complex_Ocomplex' ), 'v_sko__local__XpCons__1'( 'v_cs____', 'v_r' ),
% 119.71/120.16 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 119.71/120.16 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ), 'v_r',
% 119.71/120.16 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.16 , clause( 144599, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 119.71/120.16 'c_Polynomial_Opoly'( 'v_cs____', X, 'tc_Complex_Ocomplex' ),
% 119.71/120.16 'tc_Complex_Ocomplex' ), 'v_m____', 'tc_RealDef_Oreal' ), ~(
% 119.71/120.16 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( X,
% 119.71/120.16 'tc_Complex_Ocomplex' ), 'v_r', 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.16 , clause( 144600, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 119.71/120.16 'c_Polynomial_Opoly'( 'v_cs____', X, 'tc_Complex_Ocomplex' ),
% 119.71/120.16 'tc_Complex_Ocomplex' ), 'v_sko__local__XpCons__Xhyps__1'( 'v_cs____',
% 119.71/120.16 'v_r' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 119.71/120.16 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ), 'v_r',
% 119.71/120.16 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.16 , clause( 144601, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 119.71/120.16 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 119.71/120.16 Y, X ) ) ] )
% 119.71/120.16 , clause( 144602, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 119.71/120.16 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 119.71/120.16 Y, X ) ) ] )
% 119.71/120.16 , clause( 144603, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ),
% 119.71/120.16 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144604, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 119.71/120.16 Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 119.71/120.16 , clause( 144605, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 119.71/120.16 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 119.71/120.16 Y, X ) ) ] )
% 119.71/120.16 , clause( 144606, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 119.71/120.16 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 119.71/120.16 Y, X ) ) ] )
% 119.71/120.16 , clause( 144607, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 119.71/120.16 Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 119.71/120.16 )
% 119.71/120.16 , clause( 144608, [ ~( 'class_Orderings_Oorder'( X ) ),
% 119.71/120.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 119.71/120.16 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 119.71/120.16 , clause( 144609, [ ~( 'class_Orderings_Oorder'( X ) ),
% 119.71/120.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 119.71/120.16 , X ) ), ~( 'c_lessequals'( T, Z, X ) ) ] )
% 119.71/120.16 , clause( 144610, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 119.71/120.16 Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 119.71/120.16 ] )
% 119.71/120.16 , clause( 144611, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 119.71/120.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~(
% 119.71/120.16 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 119.71/120.16 , clause( 144612, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 119.71/120.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 119.71/120.16 , X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 119.71/120.16 , clause( 144613, [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144614, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 119.71/120.16 'c_lessequals'( Z, Y, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z,
% 119.71/120.16 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.16 , clause( 144615, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 119.71/120.16 Y, X ) ] )
% 119.71/120.16 , clause( 144616, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 119.71/120.16 Y, Y, X ) ] )
% 119.71/120.16 , clause( 144617, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 119.71/120.16 Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 119.71/120.16 , clause( 144618, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 119.71/120.16 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.16 , clause( 144619, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 119.71/120.16 Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 119.71/120.16 , clause( 144620, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 119.71/120.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ), ~(
% 119.71/120.16 'c_lessequals'( Y, Z, X ) ) ] )
% 119.71/120.16 , clause( 144621, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 119.71/120.16 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 119.71/120.16 , clause( 144622, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal'
% 119.71/120.16 ) ) ] )
% 119.71/120.16 , clause( 144623, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 119.71/120.16 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 119.71/120.16 , clause( 144624, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 119.71/120.16 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 119.71/120.16 , clause( 144625, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 119.71/120.16 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 119.71/120.16 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.16 , clause( 144626, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 119.71/120.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 119.71/120.16 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144627, [ ~( 'class_Orderings_Oorder'( X ) ),
% 119.71/120.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ), ~( 'c_lessequals'( Y, Z
% 119.71/120.16 , X ) ) ] )
% 119.71/120.16 , clause( 144628, [ ~( 'class_Orderings_Oorder'( X ) ),
% 119.71/120.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 119.71/120.16 Z, Y ) ] )
% 119.71/120.16 , clause( 144629, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 119.71/120.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 119.71/120.16 , clause( 144630, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~(
% 119.71/120.16 'c_lessequals'( Y, Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ] )
% 119.71/120.16 , clause( 144631, [ ~( 'class_Orderings_Oorder'( X ) ),
% 119.71/120.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 119.71/120.16 Y, Z ) ] )
% 119.71/120.16 , clause( 144632, [ ~( 'class_Orderings_Oorder'( X ) ),
% 119.71/120.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 119.71/120.16 , X ) ) ] )
% 119.71/120.16 , clause( 144633, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ),
% 119.71/120.16 =( X, Y ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.16 , clause( 144634, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 119.71/120.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 119.71/120.16 , clause( 144635, [ ~( 'class_Orderings_Oorder'( X ) ),
% 119.71/120.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 119.71/120.16 , X ) ) ] )
% 119.71/120.16 , clause( 144636, [ ~( 'class_HOL_Ozero'( X ) ), ~( =(
% 119.71/120.16 'c_Polynomial_OpCons'( Y, Z, X ), 'c_Polynomial_OpCons'( T, U, X ) ) ),
% 119.71/120.16 =( Y, T ) ] )
% 119.71/120.16 , clause( 144637, [ ~( 'class_HOL_Ozero'( X ) ), ~( =(
% 119.71/120.16 'c_Polynomial_OpCons'( Y, Z, X ), 'c_Polynomial_OpCons'( T, U, X ) ) ),
% 119.71/120.16 =( Z, U ) ] )
% 119.71/120.16 , clause( 144638, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 119.71/120.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 119.71/120.16 ), 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ), =( Y
% 119.71/120.16 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 119.71/120.16 , clause( 144639, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 119.71/120.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 119.71/120.16 ), =( Z, Y ) ] )
% 119.71/120.16 , clause( 144640, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 119.71/120.16 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 119.71/120.16 ) ] )
% 119.71/120.16 , clause( 144641, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 119.71/120.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 119.71/120.16 ) ] )
% 119.71/120.16 , clause( 144642, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 119.71/120.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ),
% 119.71/120.16 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 119.71/120.16 , clause( 144643, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 119.71/120.16 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 119.71/120.16 , clause( 144644, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 119.71/120.16 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 119.71/120.16 , clause( 144645, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 119.71/120.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 119.71/120.16 ), =( Z, Y ) ] )
% 119.71/120.16 , clause( 144646, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 119.71/120.16 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 119.71/120.16 , clause( 144647, [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal'
% 119.71/120.16 ) ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.16 , clause( 144648, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 119.71/120.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 119.71/120.16 ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 119.71/120.16 ), 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.16 , clause( 144649, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 119.71/120.16 =( 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 119.71/120.16 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 119.71/120.16 , clause( 144650, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 119.71/120.16 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 119.71/120.16 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 119.71/120.16 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144651, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 119.71/120.16 Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 119.71/120.16 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 119.71/120.16 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.16 , clause( 144652, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 119.71/120.16 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 119.71/120.16 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 119.71/120.16 ] )
% 119.71/120.16 , clause( 144653, [ ~( 'class_Orderings_Oorder'( X ) ),
% 119.71/120.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 119.71/120.16 , X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 119.71/120.16 , clause( 144654, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 119.71/120.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 119.71/120.16 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 119.71/120.16 , clause( 144655, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 119.71/120.16 'c_lessequals'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ]
% 119.71/120.16 )
% 119.71/120.16 , clause( 144656, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 119.71/120.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 119.71/120.16 , clause( 144657, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 119.71/120.16 'c_lessequals'( Y, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ]
% 119.71/120.16 )
% 119.71/120.16 , clause( 144658, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 119.71/120.16 'c_HOL_Oord__class_Oless'( Y, Y, X ), 'c_lessequals'( Y, Y, X ) ] )
% 119.71/120.16 , clause( 144659, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 119.71/120.16 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 119.71/120.16 )
% 119.71/120.16 , clause( 144660, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 119.71/120.16 Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 119.71/120.16 , clause( 144661, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 119.71/120.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 119.71/120.16 , clause( 144662, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 119.71/120.16 'c_lessequals'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ]
% 119.71/120.16 )
% 119.71/120.16 , clause( 144663, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 119.71/120.16 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 119.71/120.16 'tc_Complex_Ocomplex' ), X, 'tc_Complex_Ocomplex' ),
% 119.71/120.16 'tc_Complex_Ocomplex' ), 'c_HOL_Oplus__class_Oplus'(
% 119.71/120.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal'
% 119.71/120.16 ), 'c_RealVector_Onorm__class_Onorm'( 'v_c____', 'tc_Complex_Ocomplex' )
% 119.71/120.16 , 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 119.71/120.16 'c_HOL_Otimes__class_Otimes'( 'v_r', 'v_m____', 'tc_RealDef_Oreal' ),
% 119.71/120.16 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 119.71/120.16 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( X,
% 119.71/120.16 'tc_Complex_Ocomplex' ), 'v_r', 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.16 , clause( 144664, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 119.71/120.16 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 119.71/120.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal'
% 119.71/120.16 ), 'c_RealVector_Onorm__class_Onorm'( 'v_c____', 'tc_Complex_Ocomplex' )
% 119.71/120.16 , 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 119.71/120.16 'c_HOL_Otimes__class_Otimes'( 'v_r', 'v_m____', 'tc_RealDef_Oreal' ),
% 119.71/120.16 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144665, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 119.71/120.16 'v_x'( X ), 'tc_Complex_Ocomplex' ), 'v_r', 'tc_RealDef_Oreal' ), ~(
% 119.71/120.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 119.71/120.16 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.16 , clause( 144666, [ ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 119.71/120.16 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 119.71/120.16 'tc_Complex_Ocomplex' ), 'v_x'( X ), 'tc_Complex_Ocomplex' ),
% 119.71/120.16 'tc_Complex_Ocomplex' ), X, 'tc_RealDef_Oreal' ) ), ~(
% 119.71/120.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 119.71/120.16 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.16 , clause( 144667, [ 'class_OrderedGroup_Ocancel__comm__monoid__add'(
% 119.71/120.16 'tc_Polynomial_Opoly'( X ) ), ~(
% 119.71/120.16 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ] )
% 119.71/120.16 , clause( 144668, [ 'class_Ring__and__Field_Ocomm__ring__1'(
% 119.71/120.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Ocomm__ring__1'(
% 119.71/120.16 X ) ) ] )
% 119.71/120.16 , clause( 144669, [ 'class_OrderedGroup_Ocancel__comm__monoid__add'(
% 119.71/120.16 'tc_Complex_Ocomplex' ) ] )
% 119.71/120.16 , clause( 144670, [ 'class_Ring__and__Field_Ocomm__ring__1'(
% 119.71/120.16 'tc_Complex_Ocomplex' ) ] )
% 119.71/120.16 , clause( 144671, [ 'class_OrderedGroup_Ocancel__comm__monoid__add'(
% 119.71/120.16 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144672, [ 'class_Ring__and__Field_Ocomm__ring__1'(
% 119.71/120.16 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144673, [
% 119.71/120.16 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 119.71/120.16 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144674, [
% 119.71/120.16 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 119.71/120.16 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144675, [
% 119.71/120.16 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 119.71/120.16 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144676, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 119.71/120.16 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144677, [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 119.71/120.16 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144678, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 119.71/120.16 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144679, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 119.71/120.16 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144680, [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 119.71/120.16 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144681, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 119.71/120.16 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144682, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 119.71/120.16 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144683, [ 'class_Ring__and__Field_Oordered__ring__strict'(
% 119.71/120.16 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144684, [ 'class_RealVector_Oreal__normed__div__algebra'(
% 119.71/120.16 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144685, [ 'class_OrderedGroup_Opordered__ab__group__add'(
% 119.71/120.16 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144686, [ 'class_OrderedGroup_Olordered__ab__group__add'(
% 119.71/120.16 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144687, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 119.71/120.16 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144688, [ 'class_Ring__and__Field_Opordered__semiring'(
% 119.71/120.16 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144689, [ 'class_Ring__and__Field_Oordered__semiring'(
% 119.71/120.16 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144690, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 119.71/120.16 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144691, [ 'class_Ring__and__Field_Odivision__by__zero'(
% 119.71/120.16 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144692, [ 'class_Ring__and__Field_Oordered__semidom'(
% 119.71/120.16 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144693, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 119.71/120.16 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144694, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 119.71/120.16 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144695, [ 'class_RealVector_Oreal__normed__algebra'(
% 119.71/120.16 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144696, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 119.71/120.16 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144697, [ 'class_RealVector_Oreal__normed__vector'(
% 119.71/120.16 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144698, [ 'class_OrderedGroup_Ocomm__monoid__mult'(
% 119.71/120.16 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144699, [ 'class_OrderedGroup_Oab__semigroup__add'(
% 119.71/120.16 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144700, [ 'class_Ring__and__Field_Opordered__ring'(
% 119.71/120.16 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144701, [ 'class_Ring__and__Field_Oordered__field'(
% 119.71/120.16 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144702, [ 'class_Ring__and__Field_Ocomm__semiring'(
% 119.71/120.16 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144703, [ 'class_RealVector_Oreal__normed__field'(
% 119.71/120.16 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144704, [ 'class_OrderedGroup_Ocomm__monoid__add'(
% 119.71/120.16 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144705, [ 'class_Ring__and__Field_Ozero__neq__one'(
% 119.71/120.16 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144706, [ 'class_Ring__and__Field_Oordered__idom'(
% 119.71/120.16 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144707, [ 'class_Ring__and__Field_Omult__mono1'(
% 119.71/120.16 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144708, [ 'class_OrderedGroup_Oab__group__add'(
% 119.71/120.16 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144709, [ 'class_Ring__and__Field_Omult__zero'(
% 119.71/120.16 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144710, [ 'class_Ring__and__Field_Omult__mono'(
% 119.71/120.16 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144711, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal'
% 119.71/120.16 ) ] )
% 119.71/120.16 , clause( 144712, [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal'
% 119.71/120.16 ) ] )
% 119.71/120.16 , clause( 144713, [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' )
% 119.71/120.16 ] )
% 119.71/120.16 , clause( 144714, [ 'class_Ring__and__Field_Osgn__if'( 'tc_RealDef_Oreal' )
% 119.71/120.16 ] )
% 119.71/120.16 , clause( 144715, [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ]
% 119.71/120.16 )
% 119.71/120.16 , clause( 144716, [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ]
% 119.71/120.16 )
% 119.71/120.16 , clause( 144717, [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144718, [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144719, [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144720, [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144721, [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144722, [ 'class_HOL_Ozero'( 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144723, [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 119.71/120.16 'tc_Complex_Ocomplex' ) ] )
% 119.71/120.16 , clause( 144724, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 119.71/120.16 'tc_Complex_Ocomplex' ) ] )
% 119.71/120.16 , clause( 144725, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 119.71/120.16 'tc_Complex_Ocomplex' ) ] )
% 119.71/120.16 , clause( 144726, [ 'class_RealVector_Oreal__normed__div__algebra'(
% 119.71/120.16 'tc_Complex_Ocomplex' ) ] )
% 119.71/120.16 , clause( 144727, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 119.71/120.16 'tc_Complex_Ocomplex' ) ] )
% 119.71/120.16 , clause( 144728, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 119.71/120.16 'tc_Complex_Ocomplex' ) ] )
% 119.71/120.16 , clause( 144729, [ 'class_Ring__and__Field_Odivision__by__zero'(
% 119.71/120.16 'tc_Complex_Ocomplex' ) ] )
% 119.71/120.16 , clause( 144730, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 119.71/120.16 'tc_Complex_Ocomplex' ) ] )
% 119.71/120.16 , clause( 144731, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 119.71/120.16 'tc_Complex_Ocomplex' ) ] )
% 119.71/120.16 , clause( 144732, [ 'class_RealVector_Oreal__normed__algebra'(
% 119.71/120.16 'tc_Complex_Ocomplex' ) ] )
% 119.71/120.16 , clause( 144733, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 119.71/120.16 'tc_Complex_Ocomplex' ) ] )
% 119.71/120.16 , clause( 144734, [ 'class_RealVector_Oreal__normed__vector'(
% 119.71/120.16 'tc_Complex_Ocomplex' ) ] )
% 119.71/120.16 , clause( 144735, [ 'class_OrderedGroup_Ocomm__monoid__mult'(
% 119.71/120.16 'tc_Complex_Ocomplex' ) ] )
% 119.71/120.16 , clause( 144736, [ 'class_OrderedGroup_Oab__semigroup__add'(
% 119.71/120.16 'tc_Complex_Ocomplex' ) ] )
% 119.71/120.16 , clause( 144737, [ 'class_Ring__and__Field_Ocomm__semiring'(
% 119.71/120.16 'tc_Complex_Ocomplex' ) ] )
% 119.71/120.16 , clause( 144738, [ 'class_RealVector_Oreal__normed__field'(
% 119.71/120.16 'tc_Complex_Ocomplex' ) ] )
% 119.71/120.16 , clause( 144739, [ 'class_OrderedGroup_Ocomm__monoid__add'(
% 119.71/120.16 'tc_Complex_Ocomplex' ) ] )
% 119.71/120.16 , clause( 144740, [ 'class_Ring__and__Field_Ozero__neq__one'(
% 119.71/120.16 'tc_Complex_Ocomplex' ) ] )
% 119.71/120.16 , clause( 144741, [ 'class_OrderedGroup_Oab__group__add'(
% 119.71/120.16 'tc_Complex_Ocomplex' ) ] )
% 119.71/120.16 , clause( 144742, [ 'class_Ring__and__Field_Omult__zero'(
% 119.71/120.16 'tc_Complex_Ocomplex' ) ] )
% 119.71/120.16 , clause( 144743, [ 'class_OrderedGroup_Omonoid__mult'(
% 119.71/120.16 'tc_Complex_Ocomplex' ) ] )
% 119.71/120.16 , clause( 144744, [ 'class_Ring__and__Field_Osemiring'(
% 119.71/120.16 'tc_Complex_Ocomplex' ) ] )
% 119.71/120.16 , clause( 144745, [ 'class_OrderedGroup_Omonoid__add'(
% 119.71/120.16 'tc_Complex_Ocomplex' ) ] )
% 119.71/120.16 , clause( 144746, [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex'
% 119.71/120.16 ) ] )
% 119.71/120.16 , clause( 144747, [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' )
% 119.71/120.16 ] )
% 119.71/120.16 , clause( 144748, [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ] )
% 119.71/120.16 , clause( 144749, [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ] )
% 119.71/120.16 , clause( 144750, [ 'class_HOL_Ozero'( 'tc_Complex_Ocomplex' ) ] )
% 119.71/120.16 , clause( 144751, [
% 119.71/120.16 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 119.71/120.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 119.71/120.16 X ) ) ] )
% 119.71/120.16 , clause( 144752, [
% 119.71/120.16 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 119.71/120.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 119.71/120.16 X ) ) ] )
% 119.71/120.16 , clause( 144753, [
% 119.71/120.16 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 119.71/120.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 119.71/120.16 X ) ) ] )
% 119.71/120.16 , clause( 144754, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 119.71/120.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 119.71/120.16 X ) ) ] )
% 119.71/120.16 , clause( 144755, [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 119.71/120.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 119.71/120.16 )
% 119.71/120.16 , clause( 144756, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 119.71/120.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 119.71/120.16 X ) ) ] )
% 119.71/120.16 , clause( 144757, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 119.71/120.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 119.71/120.16 X ) ) ] )
% 119.71/120.16 , clause( 144758, [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 119.71/120.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 119.71/120.16 X ) ) ] )
% 119.71/120.16 , clause( 144759, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 119.71/120.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 119.71/120.16 )
% 119.71/120.16 , clause( 144760, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 119.71/120.16 'tc_Polynomial_Opoly'( X ) ), ~(
% 119.71/120.16 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ] )
% 119.71/120.16 , clause( 144761, [ 'class_Ring__and__Field_Oordered__ring__strict'(
% 119.71/120.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 119.71/120.16 X ) ) ] )
% 119.71/120.16 , clause( 144762, [ 'class_OrderedGroup_Opordered__ab__group__add'(
% 119.71/120.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 119.71/120.16 X ) ) ] )
% 119.71/120.16 , clause( 144763, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 119.71/120.16 'tc_Polynomial_Opoly'( X ) ), ~(
% 119.71/120.16 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ] )
% 119.71/120.16 , clause( 144764, [ 'class_Ring__and__Field_Opordered__semiring'(
% 119.71/120.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 119.71/120.16 X ) ) ] )
% 119.71/120.16 , clause( 144765, [ 'class_Ring__and__Field_Oordered__semiring'(
% 119.71/120.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 119.71/120.16 X ) ) ] )
% 119.71/120.16 , clause( 144766, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 119.71/120.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 119.71/120.16 )
% 119.71/120.16 , clause( 144767, [ 'class_Ring__and__Field_Oordered__semidom'(
% 119.71/120.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 119.71/120.16 X ) ) ] )
% 119.71/120.16 , clause( 144768, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 119.71/120.16 'tc_Polynomial_Opoly'( X ) ), ~(
% 119.71/120.16 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 119.71/120.16 , clause( 144769, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 119.71/120.16 'tc_Polynomial_Opoly'( X ) ), ~(
% 119.71/120.16 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 119.71/120.16 , clause( 144770, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 119.71/120.16 'tc_Polynomial_Opoly'( X ) ), ~(
% 119.71/120.16 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 119.71/120.16 , clause( 144771, [ 'class_OrderedGroup_Ocomm__monoid__mult'(
% 119.71/120.16 'tc_Polynomial_Opoly'( X ) ), ~(
% 119.71/120.16 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 119.71/120.16 , clause( 144772, [ 'class_OrderedGroup_Oab__semigroup__add'(
% 119.71/120.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'(
% 119.71/120.16 X ) ) ] )
% 119.71/120.16 , clause( 144773, [ 'class_Ring__and__Field_Opordered__ring'(
% 119.71/120.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 119.71/120.16 X ) ) ] )
% 119.71/120.16 , clause( 144774, [ 'class_Ring__and__Field_Ocomm__semiring'(
% 119.71/120.16 'tc_Polynomial_Opoly'( X ) ), ~(
% 119.71/120.16 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 119.71/120.16 , clause( 144775, [ 'class_OrderedGroup_Ocomm__monoid__add'(
% 119.71/120.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'(
% 119.71/120.16 X ) ) ] )
% 119.71/120.16 , clause( 144776, [ 'class_Ring__and__Field_Ozero__neq__one'(
% 119.71/120.16 'tc_Polynomial_Opoly'( X ) ), ~(
% 119.71/120.16 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 119.71/120.16 , clause( 144777, [ 'class_Ring__and__Field_Oordered__idom'(
% 119.71/120.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 119.71/120.16 X ) ) ] )
% 119.71/120.16 , clause( 144778, [ 'class_Ring__and__Field_Omult__mono1'(
% 119.71/120.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 119.71/120.16 X ) ) ] )
% 119.71/120.16 , clause( 144779, [ 'class_OrderedGroup_Oab__group__add'(
% 119.71/120.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_OrderedGroup_Oab__group__add'( X
% 119.71/120.16 ) ) ] )
% 119.71/120.16 , clause( 144780, [ 'class_Ring__and__Field_Omult__zero'(
% 119.71/120.16 'tc_Polynomial_Opoly'( X ) ), ~(
% 119.71/120.16 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 119.71/120.16 , clause( 144781, [ 'class_Ring__and__Field_Omult__mono'(
% 119.71/120.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 119.71/120.16 X ) ) ] )
% 119.71/120.16 , clause( 144782, [ 'class_OrderedGroup_Omonoid__mult'(
% 119.71/120.16 'tc_Polynomial_Opoly'( X ) ), ~(
% 119.71/120.16 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 119.71/120.16 , clause( 144783, [ 'class_Ring__and__Field_Osemiring'(
% 119.71/120.16 'tc_Polynomial_Opoly'( X ) ), ~(
% 119.71/120.16 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 119.71/120.16 , clause( 144784, [ 'class_OrderedGroup_Omonoid__add'(
% 119.71/120.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'(
% 119.71/120.16 X ) ) ] )
% 119.71/120.16 , clause( 144785, [ 'class_Ring__and__Field_Osgn__if'(
% 119.71/120.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 119.71/120.16 X ) ) ] )
% 119.71/120.16 , clause( 144786, [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'(
% 119.71/120.16 X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ] )
% 119.71/120.16 , clause( 144787, [ 'class_Orderings_Opreorder'( 'tc_Polynomial_Opoly'( X )
% 119.71/120.16 ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 119.71/120.16 , clause( 144788, [ 'class_Orderings_Olinorder'( 'tc_Polynomial_Opoly'( X )
% 119.71/120.16 ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 119.71/120.16 , clause( 144789, [ 'class_Orderings_Oorder'( 'tc_Polynomial_Opoly'( X ) )
% 119.71/120.16 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 119.71/120.16 , clause( 144790, [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) )
% 119.71/120.16 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ] )
% 119.71/120.16 , clause( 144791, [ 'class_Power_Opower'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 119.71/120.16 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 119.71/120.16 , clause( 144792, [ 'class_HOL_Ozero'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 119.71/120.16 'class_HOL_Ozero'( X ) ) ] )
% 119.71/120.16 ] ).
% 119.71/120.16
% 119.71/120.16
% 119.71/120.16
% 119.71/120.16 subsumption(
% 119.71/120.16 clause( 380, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 119.71/120.16 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 119.71/120.16 'tc_Complex_Ocomplex' ), X, 'tc_Complex_Ocomplex' ),
% 119.71/120.16 'tc_Complex_Ocomplex' ), 'c_HOL_Oplus__class_Oplus'(
% 119.71/120.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal'
% 119.71/120.16 ), 'c_RealVector_Onorm__class_Onorm'( 'v_c____', 'tc_Complex_Ocomplex' )
% 119.71/120.16 , 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 119.71/120.16 'c_HOL_Otimes__class_Otimes'( 'v_r', 'v_m____', 'tc_RealDef_Oreal' ),
% 119.71/120.16 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 119.71/120.16 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( X,
% 119.71/120.16 'tc_Complex_Ocomplex' ), 'v_r', 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.16 , clause( 144663, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 119.71/120.16 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 119.71/120.16 'tc_Complex_Ocomplex' ), X, 'tc_Complex_Ocomplex' ),
% 119.71/120.16 'tc_Complex_Ocomplex' ), 'c_HOL_Oplus__class_Oplus'(
% 119.71/120.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal'
% 119.71/120.16 ), 'c_RealVector_Onorm__class_Onorm'( 'v_c____', 'tc_Complex_Ocomplex' )
% 119.71/120.16 , 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 119.71/120.16 'c_HOL_Otimes__class_Otimes'( 'v_r', 'v_m____', 'tc_RealDef_Oreal' ),
% 119.71/120.16 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 119.71/120.16 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( X,
% 119.71/120.16 'tc_Complex_Ocomplex' ), 'v_r', 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 119.71/120.16 1 )] ) ).
% 119.71/120.16
% 119.71/120.16
% 119.71/120.16 subsumption(
% 119.71/120.16 clause( 381, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 119.71/120.16 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 119.71/120.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal'
% 119.71/120.16 ), 'c_RealVector_Onorm__class_Onorm'( 'v_c____', 'tc_Complex_Ocomplex' )
% 119.71/120.16 , 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 119.71/120.16 'c_HOL_Otimes__class_Otimes'( 'v_r', 'v_m____', 'tc_RealDef_Oreal' ),
% 119.71/120.16 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 144664, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 119.71/120.16 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 119.71/120.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal'
% 119.71/120.16 ), 'c_RealVector_Onorm__class_Onorm'( 'v_c____', 'tc_Complex_Ocomplex' )
% 119.71/120.16 , 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 119.71/120.16 'c_HOL_Otimes__class_Otimes'( 'v_r', 'v_m____', 'tc_RealDef_Oreal' ),
% 119.71/120.16 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 119.71/120.16
% 119.71/120.16
% 119.71/120.16 subsumption(
% 119.71/120.16 clause( 382, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( 'v_x'( X
% 119.71/120.16 ), 'tc_Complex_Ocomplex' ), 'v_r', 'tc_RealDef_Oreal' ), ~(
% 119.71/120.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 119.71/120.16 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.16 , clause( 144665, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 119.71/120.16 'v_x'( X ), 'tc_Complex_Ocomplex' ), 'v_r', 'tc_RealDef_Oreal' ), ~(
% 119.71/120.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 119.71/120.16 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 119.71/120.16 1 )] ) ).
% 119.71/120.16
% 119.71/120.16
% 119.71/120.16 subsumption(
% 119.71/120.16 clause( 383, [ ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 119.71/120.16 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 119.71/120.16 'tc_Complex_Ocomplex' ), 'v_x'( X ), 'tc_Complex_Ocomplex' ),
% 119.71/120.16 'tc_Complex_Ocomplex' ), X, 'tc_RealDef_Oreal' ) ), ~(
% 119.71/120.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 119.71/120.16 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.16 , clause( 144666, [ ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 119.71/120.16 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 119.71/120.16 'tc_Complex_Ocomplex' ), 'v_x'( X ), 'tc_Complex_Ocomplex' ),
% 119.71/120.16 'tc_Complex_Ocomplex' ), X, 'tc_RealDef_Oreal' ) ), ~(
% 119.71/120.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 119.71/120.16 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.16 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 119.71/120.16 1 )] ) ).
% 119.71/120.16
% 119.71/120.16
% 119.71/120.16 resolution(
% 119.71/120.16 clause( 146677, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( 'v_x'(
% 119.71/120.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 119.71/120.16 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 119.71/120.16 'c_RealVector_Onorm__class_Onorm'( 'v_c____', 'tc_Complex_Ocomplex' ),
% 119.71/120.16 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 119.71/120.16 'c_HOL_Otimes__class_Otimes'( 'v_r', 'v_m____', 'tc_RealDef_Oreal' ),
% 119.71/120.16 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'tc_Complex_Ocomplex' ),
% 119.71/120.16 'v_r', 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 382, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( 'v_x'(
% 119.71/120.16 X ), 'tc_Complex_Ocomplex' ), 'v_r', 'tc_RealDef_Oreal' ), ~(
% 119.71/120.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 119.71/120.16 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.16 , 1, clause( 381, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 119.71/120.16 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 119.71/120.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal'
% 119.71/120.16 ), 'c_RealVector_Onorm__class_Onorm'( 'v_c____', 'tc_Complex_Ocomplex' )
% 119.71/120.16 , 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 119.71/120.16 'c_HOL_Otimes__class_Otimes'( 'v_r', 'v_m____', 'tc_RealDef_Oreal' ),
% 119.71/120.16 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , 0, substitution( 0, [ :=( X, 'c_HOL_Oplus__class_Oplus'(
% 119.71/120.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal'
% 119.71/120.16 ), 'c_RealVector_Onorm__class_Onorm'( 'v_c____', 'tc_Complex_Ocomplex' )
% 119.71/120.16 , 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 119.71/120.16 'c_HOL_Otimes__class_Otimes'( 'v_r', 'v_m____', 'tc_RealDef_Oreal' ),
% 119.71/120.16 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )] ), substitution( 1, [] )
% 119.71/120.16 ).
% 119.71/120.16
% 119.71/120.16
% 119.71/120.16 subsumption(
% 119.71/120.16 clause( 129897, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( 'v_x'(
% 119.71/120.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 119.71/120.16 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 119.71/120.16 'c_RealVector_Onorm__class_Onorm'( 'v_c____', 'tc_Complex_Ocomplex' ),
% 119.71/120.16 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 119.71/120.16 'c_HOL_Otimes__class_Otimes'( 'v_r', 'v_m____', 'tc_RealDef_Oreal' ),
% 119.71/120.16 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'tc_Complex_Ocomplex' ),
% 119.71/120.16 'v_r', 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , clause( 146677, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 119.71/120.16 'v_x'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 119.71/120.16 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 119.71/120.16 'c_RealVector_Onorm__class_Onorm'( 'v_c____', 'tc_Complex_Ocomplex' ),
% 119.71/120.16 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 119.71/120.16 'c_HOL_Otimes__class_Otimes'( 'v_r', 'v_m____', 'tc_RealDef_Oreal' ),
% 119.71/120.16 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'tc_Complex_Ocomplex' ),
% 119.71/120.16 'v_r', 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 119.71/120.16
% 119.71/120.16
% 119.71/120.16 resolution(
% 119.71/120.16 clause( 146678, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 119.71/120.16 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 119.71/120.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal'
% 119.71/120.16 ), 'c_RealVector_Onorm__class_Onorm'( 'v_c____', 'tc_Complex_Ocomplex' )
% 119.71/120.16 , 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 119.71/120.16 'c_HOL_Otimes__class_Otimes'( 'v_r', 'v_m____', 'tc_RealDef_Oreal' ),
% 119.71/120.16 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 119.71/120.16 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( 'v_x'(
% 119.71/120.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 119.71/120.16 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 119.71/120.16 'c_RealVector_Onorm__class_Onorm'( 'v_c____', 'tc_Complex_Ocomplex' ),
% 119.71/120.16 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 119.71/120.16 'c_HOL_Otimes__class_Otimes'( 'v_r', 'v_m____', 'tc_RealDef_Oreal' ),
% 119.71/120.16 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'tc_Complex_Ocomplex' ),
% 119.71/120.16 'v_r', 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.16 , clause( 383, [ ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 119.71/120.16 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 119.71/120.16 'tc_Complex_Ocomplex' ), 'v_x'( X ), 'tc_Complex_Ocomplex' ),
% 119.71/120.16 'tc_Complex_Ocomplex' ), X, 'tc_RealDef_Oreal' ) ), ~(
% 119.71/120.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 119.71/120.16 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.16 , 0, clause( 380, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 119.71/120.16 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 119.71/120.16 'tc_Complex_Ocomplex' ), X, 'tc_Complex_Ocomplex' ),
% 119.71/120.16 'tc_Complex_Ocomplex' ), 'c_HOL_Oplus__class_Oplus'(
% 119.71/120.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal'
% 119.71/120.16 ), 'c_RealVector_Onorm__class_Onorm'( 'v_c____', 'tc_Complex_Ocomplex' )
% 119.71/120.16 , 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 119.71/120.16 'c_HOL_Otimes__class_Otimes'( 'v_r', 'v_m____', 'tc_RealDef_Oreal' ),
% 119.71/120.16 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 119.71/120.16 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( X,
% 119.71/120.16 'tc_Complex_Ocomplex' ), 'v_r', 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.16 , 0, substitution( 0, [ :=( X, 'c_HOL_Oplus__class_Oplus'(
% 119.71/120.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal'
% 119.71/120.16 ), 'c_RealVector_Onorm__class_Onorm'( 'v_c____', 'tc_Complex_Ocomplex' )
% 119.71/120.16 , 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 119.71/120.16 'c_HOL_Otimes__class_Otimes'( 'v_r', 'v_m____', 'tc_RealDef_Oreal' ),
% 119.71/120.16 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )] ), substitution( 1, [ :=( X
% 119.71/120.16 , 'v_x'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 119.71/120.16 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 119.71/120.16 'c_RealVector_Onorm__class_Onorm'( 'v_c____', 'tc_Complex_Ocomplex' ),
% 119.71/120.16 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 119.71/120.16 'c_HOL_Otimes__class_Otimes'( 'v_r', 'v_m____', 'tc_RealDef_Oreal' ),
% 119.71/120.16 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) )] )).
% 119.71/120.16
% 119.71/120.16
% 119.71/120.16 resolution(
% 119.71/120.16 clause( 146679, [ ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 119.71/120.16 'v_x'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 119.71/120.16 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 119.71/120.16 'c_RealVector_Onorm__class_Onorm'( 'v_c____', 'tc_Complex_Ocomplex' ),
% 119.71/120.16 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 119.71/120.16 'c_HOL_Otimes__class_Otimes'( 'v_r', 'v_m____', 'tc_RealDef_Oreal' ),
% 119.71/120.16 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'tc_Complex_Ocomplex' ),
% 119.71/120.16 'v_r', 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.16 , clause( 146678, [ ~( 'c_HOL_Oord__class_Oless'(
% 119.71/120.16 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 119.71/120.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 119.71/120.16 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 119.71/120.16 'c_RealVector_Onorm__class_Onorm'( 'v_c____', 'tc_Complex_Ocomplex' ),
% 119.71/120.16 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 119.71/120.16 'c_HOL_Otimes__class_Otimes'( 'v_r', 'v_m____', 'tc_RealDef_Oreal' ),
% 119.71/120.16 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 119.71/120.16 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( 'v_x'(
% 119.71/120.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 119.71/120.16 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 119.71/120.16 'c_RealVector_Onorm__class_Onorm'( 'v_c____', 'tc_Complex_Ocomplex' ),
% 119.71/120.16 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 119.71/120.16 'c_HOL_Otimes__class_Otimes'( 'v_r', 'v_m____', 'tc_RealDef_Oreal' ),
% 119.71/120.16 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'tc_Complex_Ocomplex' ),
% 119.71/120.16 'v_r', 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.16 , 0, clause( 381, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 119.71/120.16 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 119.71/120.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal'
% 119.71/120.16 ), 'c_RealVector_Onorm__class_Onorm'( 'v_c____', 'tc_Complex_Ocomplex' )
% 119.71/120.16 , 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 119.71/120.16 'c_HOL_Otimes__class_Otimes'( 'v_r', 'v_m____', 'tc_RealDef_Oreal' ),
% 119.71/120.16 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 119.71/120.16
% 119.71/120.16
% 119.71/120.16 subsumption(
% 119.71/120.16 clause( 130395, [ ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 119.71/120.16 'v_x'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 119.71/120.16 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 119.71/120.16 'c_RealVector_Onorm__class_Onorm'( 'v_c____', 'tc_Complex_Ocomplex' ),
% 119.71/120.16 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 119.71/120.16 'c_HOL_Otimes__class_Otimes'( 'v_r', 'v_m____', 'tc_RealDef_Oreal' ),
% 119.71/120.16 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'tc_Complex_Ocomplex' ),
% 119.71/120.16 'v_r', 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.16 , clause( 146679, [ ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 119.71/120.16 'v_x'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 119.71/120.16 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 119.71/120.16 'c_RealVector_Onorm__class_Onorm'( 'v_c____', 'tc_Complex_Ocomplex' ),
% 119.71/120.16 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 119.71/120.16 'c_HOL_Otimes__class_Otimes'( 'v_r', 'v_m____', 'tc_RealDef_Oreal' ),
% 119.71/120.16 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'tc_Complex_Ocomplex' ),
% 119.71/120.16 'v_r', 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 119.71/120.16
% 119.71/120.16
% 119.71/120.16 resolution(
% 119.71/120.16 clause( 146680, [] )
% 119.71/120.16 , clause( 130395, [ ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 119.71/120.16 'v_x'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 119.71/120.16 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 119.71/120.16 'c_RealVector_Onorm__class_Onorm'( 'v_c____', 'tc_Complex_Ocomplex' ),
% 119.71/120.16 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 119.71/120.16 'c_HOL_Otimes__class_Otimes'( 'v_r', 'v_m____', 'tc_RealDef_Oreal' ),
% 119.71/120.16 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'tc_Complex_Ocomplex' ),
% 119.71/120.16 'v_r', 'tc_RealDef_Oreal' ) ) ] )
% 119.71/120.16 , 0, clause( 129897, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 119.71/120.16 'v_x'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 119.71/120.16 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 119.71/120.16 'c_RealVector_Onorm__class_Onorm'( 'v_c____', 'tc_Complex_Ocomplex' ),
% 119.71/120.16 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 119.71/120.16 'c_HOL_Otimes__class_Otimes'( 'v_r', 'v_m____', 'tc_RealDef_Oreal' ),
% 119.71/120.16 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'tc_Complex_Ocomplex' ),
% 119.71/120.16 'v_r', 'tc_RealDef_Oreal' ) ] )
% 119.71/120.16 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 119.71/120.16
% 119.71/120.16
% 119.71/120.16 subsumption(
% 119.71/120.16 clause( 144226, [] )
% 119.71/120.16 , clause( 146680, [] )
% 119.71/120.16 , substitution( 0, [] ), permutation( 0, [] ) ).
% 119.71/120.16
% 119.71/120.16
% 119.71/120.16 end.
% 119.71/120.16
% 119.71/120.16 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 119.71/120.16
% 119.71/120.16 Memory use:
% 119.71/120.16
% 119.71/120.16 space for terms: 4529143
% 119.71/120.16 space for clauses: 6022687
% 119.71/120.16
% 119.71/120.16
% 119.71/120.16 clauses generated: 1860220
% 119.71/120.16 clauses kept: 144227
% 119.71/120.16 clauses selected: 3034
% 119.71/120.16 clauses deleted: 9592
% 119.71/120.17 clauses inuse deleted: 253
% 119.71/120.17
% 119.71/120.17 subsentry: 4843984
% 119.71/120.17 literals s-matched: 3384919
% 119.71/120.17 literals matched: 2979843
% 119.71/120.17 full subsumption: 1957077
% 119.71/120.17
% 119.71/120.17 checksum: 1438477571
% 119.71/120.17
% 119.71/120.17
% 119.71/120.17 Bliksem ended
%------------------------------------------------------------------------------