TSTP Solution File: SWV624-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV624-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:27:13 EDT 2022
% Result : Timeout 300.02s 300.44s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SWV624-1 : TPTP v8.1.0. Released v4.1.0.
% 0.05/0.10 % Command : bliksem %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % DateTime : Wed Jun 15 20:24:14 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.83/1.26 *** allocated 10000 integers for termspace/termends
% 0.83/1.26 *** allocated 10000 integers for clauses
% 0.83/1.26 *** allocated 10000 integers for justifications
% 0.83/1.26 *** allocated 15000 integers for termspace/termends
% 0.83/1.26 *** allocated 22500 integers for termspace/termends
% 0.83/1.26 *** allocated 33750 integers for termspace/termends
% 0.83/1.26 Bliksem 1.12
% 0.83/1.26
% 0.83/1.26
% 0.83/1.26 Automatic Strategy Selection
% 0.83/1.26
% 0.83/1.26 Clauses:
% 0.83/1.26 [
% 0.83/1.26 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.26 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.83/1.26 ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y,
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.83/1.26 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.83/1.26 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.83/1.26 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Transcendental_Otan'( X ),
% 0.83/1.26 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ),
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Osin'(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ) ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 0.83/1.26 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 0.83/1.26 ), =( 'c_Transcendental_Ocos'( Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.26 'tc_RealDef_Oreal' ) ), =( 'c_Transcendental_Ocos'( X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.83/1.26 ,
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.83/1.26 ,
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.26 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.26 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 0.83/1.26 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( Y,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.26 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.26 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 0.83/1.26 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( X,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.26 [ 'c_lessequals'( X, 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 0.83/1.26 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 0.83/1.26 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y )
% 0.83/1.26 , 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.26 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'(
% 0.83/1.26 Y ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.83/1.26 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.83/1.26 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.26 X ), T, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.83/1.26 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.26 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.83/1.26 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 0.83/1.26 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.83/1.26 ) ],
% 0.83/1.26 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.83/1.26 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 0.83/1.26 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.83/1.26 ) ],
% 0.83/1.26 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z,
% 0.83/1.26 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.83/1.26 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.83/1.26 ), Z, 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.26 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.83/1.26 ],
% 0.83/1.26 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.83/1.26 ],
% 0.83/1.26 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.83/1.26 ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.83/1.26 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.26 ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.83/1.26 ],
% 0.83/1.26 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.83/1.26 ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.83/1.26 ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.83/1.26 ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 0.83/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.83/1.26 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.83/1.26 ), Y ) ],
% 0.83/1.26 [ =( X, 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.83/1.26 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.83/1.26 ), ~( =( 'c_Power_Opower__class_Opower'( Y,
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.26 ) ) ],
% 0.83/1.26 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.83/1.26 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.83/1.26 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.26 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.26 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.26 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.26 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.83/1.26 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.83/1.26 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.83/1.26 ,
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.83/1.26 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.83/1.26 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.83/1.26 ,
% 0.83/1.26 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.83/1.26 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.83/1.26 ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.26 , X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.26 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.83/1.26 ,
% 0.83/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.83/1.26 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.83/1.26 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.83/1.26 , U, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.26 X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.26 X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.83/1.26 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.83/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.83/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.26 ) ), =( Y, Z ) ],
% 0.83/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.83/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.26 ) ), =( Y, Z ) ],
% 0.83/1.26 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.26 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.83/1.26 'c_RealDef_Oreal'( X, 'tc_nat' ), 'tc_RealDef_Oreal' ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.83/1.26 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 0.83/1.26 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.83/1.26 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.83/1.26 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 0.83/1.26 , X, 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.26 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.83/1.26 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 0.83/1.26 , 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.26 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.83/1.26 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.26 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.83/1.26 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 0.83/1.26 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 0.83/1.26 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 0.83/1.26 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 0.83/1.26 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 0.83/1.26 ) ],
% 0.83/1.26 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 0.83/1.26 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 0.83/1.26 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ),
% 0.83/1.26 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.26 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.26 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 0.83/1.26 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 0.83/1.26 ) ],
% 0.83/1.26 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 0.83/1.26 ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 0.83/1.26 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ),
% 0.83/1.26 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.26 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.83/1.26 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.83/1.26 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.83/1.26 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.83/1.26 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.83/1.26 ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.83/1.26 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.83/1.26 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.26 X ), T, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.83/1.26 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.83/1.26 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.83/1.26 ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.83/1.26 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.83/1.26 , Z, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.83/1.26 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.83/1.26 , T, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.83/1.26 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.26 ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.83/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.83/1.26 , T, X ) ) ), =( Y, Z ) ],
% 0.83/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.83/1.26 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.83/1.26 , T, X ) ) ), =( Z, T ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.83/1.26 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.83/1.26 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.83/1.26 [ =( 'c_Transcendental_Osin'( 'c_Transcendental_Opi' ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.83/1.26 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.83/1.26 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.83/1.26 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 0.83/1.26 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.26 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ),
% 0.83/1.26 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.26 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.83/1.26 'tc_RealDef_Oreal' ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.26 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ),
% 0.83/1.26 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.83/1.26 ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.83/1.26 ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.83/1.26 ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.83/1.26 ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.83/1.26 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.83/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.83/1.26 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.83/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.83/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.83/1.26 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.83/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.83/1.26 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.83/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.83/1.26 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.83/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.83/1.26 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.83/1.26 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.83/1.26 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.83/1.26 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.83/1.26 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 0.83/1.26 , 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.83/1.26 ) ],
% 0.83/1.26 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi',
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.83/1.26 ],
% 0.83/1.26 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.83/1.26 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 0.83/1.26 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 0.83/1.26 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 0.83/1.26 ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.83/1.26 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.83/1.26 ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.83/1.26 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.83/1.26 ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.83/1.26 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.83/1.26 ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.83/1.26 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.83/1.26 ) ) ],
% 0.83/1.26 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.83/1.26 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.83/1.26 ) ) ],
% 0.83/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.83/1.26 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.83/1.26 ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.83/1.26 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.83/1.26 ) ) ],
% 0.83/1.26 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.83/1.26 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.83/1.26 ) ) ],
% 0.83/1.26 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.83/1.26 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.83/1.26 ) ) ],
% 0.83/1.26 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.83/1.26 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.83/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.83/1.26 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.83/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.83/1.26 ,
% 0.83/1.26 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.83/1.26 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.83/1.26 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.83/1.26 ,
% 0.83/1.26 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.83/1.26 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.26 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.26 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.26 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.83/1.26 , 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.26 [ =( X, 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.83/1.26 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.83/1.26 ), Y ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.83/1.26 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 0.83/1.26 ],
% 0.83/1.26 [ =( 'c_Transcendental_Otan'( 'c_Transcendental_Oarctan'( X ) ), X ) ]
% 0.83/1.26 ,
% 0.83/1.26 [ ~( 'c_HOL_Oord__class_Oless'( 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.83/1.26 ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 0.83/1.26 ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 0.83/1.26 ,
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.83/1.26 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.26 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'( X ),
% 0.83/1.26 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.26 'c_Transcendental_Osin'( X ), 'c_Transcendental_Osin'( X ),
% 0.83/1.26 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 0.83/1.26 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.26 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.83/1.26 ) ) ],
% 0.83/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.83/1.26 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.83/1.26 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.83/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.83/1.26 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.83/1.26 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.26 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.83/1.26 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.26 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.83/1.26 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 0.83/1.26 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.26 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.83/1.26 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.83/1.26 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.83/1.26 , X ), T, X ), W, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 0.83/1.26 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.26 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 0.83/1.26 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.26 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.83/1.26 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.83/1.26 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.83/1.26 , X ), W, X ), X ) ) ],
% 0.83/1.26 [ 'c_lessequals'( 'c_Transcendental_Oarctan'( X ),
% 0.83/1.26 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.83/1.26 X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.26 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 0.83/1.26 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.83/1.26 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.83/1.26 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 0.83/1.26 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 0.83/1.26 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 0.83/1.26 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.26 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.83/1.26 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( 'c_Transcendental_Otan'( X ),
% 0.83/1.26 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ),
% 0.83/1.26 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oone__class_Oone'(
% 0.83/1.26 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.26 'c_Transcendental_Otan'( X ), 'c_Transcendental_Otan'( Y ),
% 0.83/1.26 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), =(
% 0.83/1.26 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.83/1.26 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.83/1.26 ), =( 'c_Transcendental_Ocos'( Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.26 'tc_RealDef_Oreal' ) ), =( 'c_Transcendental_Ocos'( X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.83/1.26 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.83/1.26 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 0.83/1.26 ,
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.83/1.26 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.83/1.26 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 0.83/1.26 ,
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.83/1.26 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 0.83/1.26 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.83/1.26 ,
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.83/1.26 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 0.83/1.26 ,
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.83/1.26 , Z, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.83/1.26 , T, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.83/1.26 , Z, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.83/1.26 , T, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.83/1.26 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.83/1.26 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.26 ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.83/1.26 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.83/1.26 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.83/1.26 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.83/1.26 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.83/1.26 ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.83/1.26 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.83/1.26 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.83/1.26 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.83/1.26 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.83/1.26 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.83/1.26 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.83/1.26 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.26 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.26 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.26 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.83/1.26 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.83/1.26 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.83/1.26 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.83/1.26 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.83/1.26 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.83/1.26 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.83/1.26 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.83/1.26 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.83/1.26 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.83/1.26 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.83/1.26 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.83/1.26 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.83/1.26 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.83/1.26 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 0.83/1.26 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.83/1.26 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.26 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.83/1.26 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.26 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.83/1.26 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.26 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.26 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.83/1.26 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.83/1.26 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.26 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.83/1.26 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 0.83/1.26 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.26 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 0.83/1.26 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'(
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.26 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.83/1.26 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.26 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.83/1.26 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.26 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.26 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.83/1.26 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.26 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( Z,
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 0.83/1.26 , X ), X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.26 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.83/1.26 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.26 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.26 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.26 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.83/1.26 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.26 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.83/1.26 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 0.83/1.26 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.26 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.83/1.26 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.26 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.83/1.26 ), X ), Z, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.26 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.83/1.26 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.26 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 0.83/1.26 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.26 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 0.83/1.26 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.26 X ), T, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 0.83/1.26 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.26 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.83/1.26 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.26 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.83/1.26 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.83/1.26 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.83/1.26 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.83/1.26 ), X ), Z, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.26 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.83/1.26 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 0.83/1.26 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 0.83/1.26 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.83/1.26 ), X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.26 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.26 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.26 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.26 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.26 , X ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.26 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.83/1.26 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.26 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.83/1.26 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.26 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.83/1.26 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 0.83/1.26 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.26 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.83/1.26 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.26 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.83/1.26 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.26 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.83/1.26 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.26 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.83/1.26 ), X ), Z, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.26 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.26 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( T, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.83/1.26 , X ), X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.26 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.83/1.26 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.83/1.26 ), X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.26 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.83/1.26 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.26 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 0.83/1.26 , X ), X ), Z, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.83/1.26 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.83/1.26 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ),
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 0.83/1.26 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.83/1.26 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.26 ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.83/1.26 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.83/1.26 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.83/1.26 Z, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.83/1.26 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.83/1.26 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.26 , T, X ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.83/1.26 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.83/1.26 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.26 , T, X ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.83/1.26 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.83/1.26 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 0.83/1.26 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 0.83/1.26 ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.83/1.26 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.83/1.26 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.83/1.26 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 0.83/1.26 ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.83/1.26 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.83/1.26 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.83/1.26 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.26 , Z, X ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.83/1.26 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.83/1.26 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.26 , Z, X ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.83/1.26 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.83/1.26 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.83/1.26 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.83/1.26 , Y, X ) ) ],
% 0.83/1.26 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.83/1.26 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.26 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.26 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.83/1.26 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.83/1.26 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.83/1.26 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.83/1.26 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.26 Y, T, X ), Z, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.83/1.26 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.83/1.26 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.26 Y, T, X ), Z, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.83/1.26 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.83/1.26 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.83/1.26 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.83/1.26 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.83/1.26 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.83/1.26 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.83/1.26 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.83/1.26 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.26 ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.83/1.26 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.83/1.26 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.26 X ), T, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.83/1.26 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.83/1.26 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.26 X ), Z, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.83/1.26 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.83/1.26 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.83/1.26 X ), Z, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.83/1.26 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.83/1.26 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.83/1.26 Z, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.83/1.26 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 0.83/1.26 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.83/1.26 Z, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.83/1.26 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 0.83/1.26 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 0.83/1.26 X ), Z, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.26 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.26 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.26 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.83/1.26 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.83/1.26 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.83/1.26 , 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.26 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.26 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 0.83/1.26 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.83/1.26 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.83/1.26 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.83/1.26 , 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.26 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.83/1.26 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.26 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.26 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.26 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.26 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.83/1.26 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.26 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.26 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.26 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.83/1.26 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.83/1.26 ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.83/1.26 ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.26 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.83/1.26 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.83/1.26 ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.26 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.83/1.26 ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.83/1.26 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 0.83/1.26 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.83/1.26 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 0.83/1.26 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.26 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.26 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 0.83/1.26 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 0.83/1.26 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 0.83/1.26 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ) ) ]
% 0.83/1.26 ,
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Z,
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.26 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Y,
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.26 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 X ) ) ],
% 0.83/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.83/1.26 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.83/1.26 ) ],
% 0.83/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.83/1.26 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.26 ) ],
% 0.83/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.83/1.26 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.26 ) ],
% 0.83/1.26 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.83/1.26 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 0.83/1.26 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 0.83/1.26 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 0.83/1.26 ) ],
% 0.83/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.83/1.26 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.26 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.83/1.26 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.83/1.26 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.26 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.83/1.26 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.83/1.26 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.26 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.26 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.83/1.26 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.83/1.26 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.26 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.83/1.26 ,
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.83/1.26 ,
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.83/1.26 Z, T, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.83/1.26 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.83/1.26 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 0.83/1.26 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.83/1.26 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 0.83/1.26 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.83/1.26 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.83/1.26 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.26 ), X ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.83/1.26 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.26 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'(
% 0.83/1.26 Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, 'c_Transcendental_Opi',
% 0.83/1.26 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ),
% 0.83/1.26 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y,
% 0.83/1.26 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.26 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.26 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.83/1.26 ) ],
% 0.83/1.26 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 0.83/1.26 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.83/1.26 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.83/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.83/1.26 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.83/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.83/1.26 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.83/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.83/1.26 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.83/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.83/1.26 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.83/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.83/1.26 ) ],
% 0.83/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.83/1.26 ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.83/1.26 ), =( Z, Y ) ],
% 0.83/1.26 [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.26 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.83/1.26 ) ],
% 0.83/1.26 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 0.83/1.26 , 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_RealDef_Oreal' ),
% 0.83/1.26 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ) ]
% 0.83/1.26 ,
% 0.83/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.83/1.26 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.83/1.26 ) ],
% 0.83/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.83/1.26 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.83/1.26 ) ],
% 0.83/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.83/1.26 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.83/1.26 X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.83/1.26 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.83/1.26 ) ],
% 0.83/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.83/1.26 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.83/1.26 X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.83/1.26 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.83/1.26 ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 0.83/1.26 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.26 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.83/1.26 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.26 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.83/1.26 ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.26 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.26 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.83/1.26 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.83/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 0.83/1.26 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.83/1.26 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oone__class_Oone'(
% 0.83/1.26 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'(
% 0.83/1.26 X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.83/1.26 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.26 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.26 ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 0.83/1.26 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.83/1.26 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.26 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.83/1.26 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 0.83/1.26 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 0.83/1.26 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.83/1.26 ), X ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.26 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.26 X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 0.83/1.26 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.83/1.26 ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.26 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.83/1.26 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.83/1.26 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.83/1.26 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.83/1.26 ), X ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.83/1.26 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.26 , X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.83/1.26 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.26 , X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.83/1.26 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.83/1.26 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.26 , X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.83/1.26 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.83/1.26 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.26 , X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.83/1.26 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'(
% 0.83/1.26 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.83/1.26 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.83/1.26 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.83/1.26 ) ],
% 0.83/1.26 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 0.83/1.26 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.26 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 0.83/1.26 ,
% 0.83/1.26 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.83/1.26 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.83/1.26 ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.83/1.26 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.83/1.26 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ) ) ), =( X, Y ) ]
% 0.83/1.26 ,
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 0.83/1.26 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.26 , X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.83/1.26 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.83/1.26 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.83/1.26 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.83/1.26 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.83/1.26 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.83/1.26 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.83/1.26 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.83/1.26 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.83/1.26 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.83/1.26 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.83/1.26 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.26 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.26 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 0.83/1.26 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.83/1.26 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.26 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.26 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.26 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 0.83/1.26 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.83/1.26 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.26 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.26 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.26 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.26 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.26 [ =( 'c_Transcendental_Otan'(
% 0.83/1.26 'c_Transcendental_Osko__Transcendental__Xlemma__tan__total1__1__1'( X ) )
% 0.83/1.26 , X ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.26 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.26 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.83/1.26 ,
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.26 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.83/1.26 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.83/1.26 ,
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.26 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.83/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oone__class_Oone'(
% 0.83/1.26 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.26 'c_Transcendental_Otan'( X ), 'c_Transcendental_Otan'( Y ),
% 0.83/1.26 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Ocos'(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ) ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 0.83/1.26 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 0.83/1.26 ), =( 'c_Transcendental_Ocos'( Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.26 'tc_RealDef_Oreal' ) ), =( 'c_Transcendental_Ocos'( X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.83/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.83/1.26 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.83/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.83/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.83/1.26 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.83/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.83/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.83/1.26 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.83/1.26 ,
% 0.83/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.83/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.83/1.26 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.83/1.26 ,
% 0.83/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.83/1.26 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.83/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.83/1.26 ,
% 0.83/1.26 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), =( X, Y ), ~(
% 0.83/1.26 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.83/1.26 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.83/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.83/1.26 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.83/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.83/1.26 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.83/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.83/1.26 ,
% 0.83/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.83/1.26 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.83/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.83/1.26 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.83/1.26 ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 0.83/1.26 ,
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.83/1.26 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.83/1.26 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.26 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.26 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 0.83/1.26 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 0.83/1.26 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.26 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 X ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 0.83/1.26 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 0.83/1.26 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.26 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.26 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.26 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), X ), =( Z,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.26 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.26 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), X ), =( Y,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'(
% 0.83/1.26 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 0.83/1.26 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 0.83/1.26 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 0.83/1.26 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), X )
% 0.83/1.26 ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.83/1.26 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 0.83/1.26 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 0.83/1.26 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 0.83/1.26 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.83/1.26 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.26 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.83/1.26 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.26 ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.83/1.26 ,
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.83/1.26 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.26 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.83/1.26 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.26 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.83/1.26 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.83/1.26 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.83/1.26 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.26 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.83/1.26 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.83/1.26 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.83/1.26 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.83/1.26 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.83/1.26 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.83/1.26 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.83/1.26 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.83/1.26 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.26 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.83/1.26 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.26 ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.83/1.26 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.26 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.83/1.26 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.26 ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.83/1.26 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.26 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.83/1.26 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.26 ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.83/1.26 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.83/1.26 ,
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.83/1.26 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.83/1.26 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.83/1.26 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.83/1.26 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.83/1.26 X ) ) ],
% 0.83/1.26 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( X, Z ) ],
% 0.83/1.26 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ) ) ), =( X,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Y, Z ) ],
% 0.83/1.26 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.83/1.26 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 0.83/1.26 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 0.83/1.26 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.26 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 0.83/1.26 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), X ) ],
% 0.83/1.26 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.83/1.26 'tc_RealDef_Oreal' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_NthRoot_Osqrt'(
% 0.83/1.26 X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.26 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 0.83/1.26 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.83/1.26 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ]
% 0.83/1.26 ,
% 0.83/1.26 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oinverse__class_Odivide'( X, Y,
% 0.83/1.26 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.26 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 0.83/1.26 ,
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.83/1.26 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.26 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.83/1.26 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.26 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.83/1.26 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.83/1.26 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.83/1.26 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.83/1.26 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.83/1.26 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.26 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.83/1.26 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.83/1.26 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.26 ) ],
% 0.83/1.26 [ ~( =( 'c_Transcendental_Opi', 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.26 'tc_RealDef_Oreal' ) ) ) ],
% 0.83/1.26 [ ~( =( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'(
% 0.83/1.26 'tc_RealDef_Oreal' ) ) ), ~( =( 'c_Transcendental_Osin'( X ),
% 0.83/1.26 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.26 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.26 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 0.83/1.26 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 0.83/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.83/1.27 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 0.83/1.27 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X,
% 0.83/1.27 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.83/1.27 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.27 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.83/1.27 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 0.83/1.27 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 0.83/1.27 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.27 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.83/1.27 ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y,
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.27 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.83/1.27 ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.27 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.27 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.83/1.27 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.83/1.27 ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y,
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.27 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.27 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.27 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.27 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.83/1.27 ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.27 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.27 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.83/1.27 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y,
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.27 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.83/1.27 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 0.83/1.27 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 0.83/1.27 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 0.83/1.27 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ) ) ), =( Y
% 0.83/1.27 , Z ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.83/1.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.27 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 0.83/1.27 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), =(
% 0.83/1.27 Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.27 [ 'c_lessequals'( 'c_Transcendental_Ocos'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.27 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.27 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.83/1.27 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.83/1.27 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 0.83/1.27 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 0.83/1.27 'tc_RealDef_Oreal' ) ],
% 0.83/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.83/1.27 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.27 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 0.83/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.27 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 0.83/1.27 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_Onumber__class_Onumber__of'(
% 0.83/1.27 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 0.83/1.27 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.83/1.27 ) ],
% 0.83/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.27 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.27 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 0.83/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.27 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.27 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.83/1.27 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.83/1.27 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.83/1.27 ), X ), Z, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.83/1.27 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 0.83/1.27 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 0.83/1.27 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.27 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 0.83/1.27 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 0.83/1.27 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.83/1.27 , T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.83/1.27 , T, X ), Z, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.83/1.27 , T, X ), Z, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.83/1.27 , T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.27 ), T, X ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.83/1.27 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.83/1.27 ), X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.27 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.83/1.27 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.83/1.27 ), X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.27 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.83/1.27 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.27 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.83/1.27 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.27 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.83/1.27 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.27 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 0.83/1.27 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.83/1.27 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.27 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 0.83/1.27 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.27 X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Y, T, X ),
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.83/1.27 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.83/1.27 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 0.83/1.27 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.83/1.27 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.83/1.27 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.83/1.27 ), X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.83/1.27 ), X ), Z, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.83/1.27 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.83/1.27 ), X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.83/1.27 ), X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.83/1.27 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.27 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.83/1.27 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.27 ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T
% 0.83/1.27 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.83/1.27 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.27 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.83/1.27 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.27 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 0.83/1.27 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.83/1.27 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.27 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.83/1.27 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.27 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.83/1.27 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.83/1.27 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 T, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.83/1.27 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.27 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.83/1.27 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.83/1.27 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.83/1.27 ,
% 0.83/1.27 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.83/1.27 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ),
% 0.83/1.27 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Otan'( X ) ) ],
% 0.83/1.27 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 'c_Transcendental_Opi', 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 0.83/1.27 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.83/1.27 ) ],
% 0.83/1.27 [ =( 'c_Transcendental_Otan'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 'c_RealDef_Oreal'( X, 'tc_nat' ), 'c_Transcendental_Opi',
% 0.83/1.27 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.83/1.27 ) ],
% 0.83/1.27 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'( Y, 'tc_nat' ),
% 0.83/1.27 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 0.83/1.27 'c_Transcendental_Otan'( X ) ) ],
% 0.83/1.27 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 'c_RealDef_Oreal'( X, 'tc_nat' ), 'c_Transcendental_Opi',
% 0.83/1.27 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.83/1.27 ) ],
% 0.83/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( X,
% 0.83/1.27 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 0.83/1.27 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 0.83/1.27 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.83/1.27 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.83/1.27 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.83/1.27 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.83/1.27 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.83/1.27 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.83/1.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.83/1.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.83/1.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.83/1.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.83/1.27 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.83/1.27 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.83/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.83/1.27 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.83/1.27 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.83/1.27 ,
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.83/1.27 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.83/1.27 , X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.83/1.27 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.83/1.27 , X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.83/1.27 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.83/1.27 , X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.83/1.27 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.83/1.27 , X ) ) ],
% 0.83/1.27 [ 'c_lessequals'( 'c_Transcendental_Osin'( X ), 'c_HOL_Oone__class_Oone'(
% 0.83/1.27 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.83/1.27 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.83/1.27 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.83/1.27 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.83/1.27 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.83/1.27 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.83/1.27 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.83/1.27 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 0.83/1.27 , X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.83/1.27 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.83/1.27 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.83/1.27 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 0.83/1.27 ,
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.83/1.27 , X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.83/1.27 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.27 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.83/1.27 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 0.83/1.27 ,
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.83/1.27 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.27 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.83/1.27 ) ],
% 0.83/1.27 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.83/1.27 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 0.83/1.27 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.83/1.27 ,
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.83/1.27 ,
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.83/1.27 ,
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.83/1.27 ,
% 0.83/1.27 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.83/1.27 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.27 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 0.83/1.27 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 0.83/1.27 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 0.83/1.27 ,
% 0.83/1.27 [ 'c_lessequals'( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.83/1.27 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 0.83/1.27 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 0.83/1.27 ,
% 0.83/1.27 [ ~( =( 'c_Transcendental_Ocos'( 'c_Transcendental_Oarctan'( X ) ),
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.83/1.27 X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.83/1.27 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.83/1.27 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.83/1.27 ,
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.83/1.27 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.27 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.83/1.27 ,
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.83/1.27 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.83/1.27 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.83/1.27 X ) ) ), =( Z, T ) ],
% 0.83/1.27 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.83/1.27 X ) ) ), =( Z, T ) ],
% 0.83/1.27 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.83/1.27 X ) ) ), =( Y, T ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.83/1.27 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.83/1.27 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.83/1.27 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.83/1.27 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.83/1.27 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.83/1.27 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.83/1.27 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.83/1.27 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.83/1.27 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.83/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'( X ),
% 0.83/1.27 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 0.83/1.27 , 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 0.83/1.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y,
% 0.83/1.27 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.83/1.27 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.83/1.27 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.83/1.27 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.27 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 0.83/1.27 ],
% 0.83/1.27 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.83/1.27 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ) ],
% 0.83/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.27 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.83/1.27 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.27 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.83/1.27 ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.27 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.83/1.27 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 0.83/1.27 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.83/1.27 , X ) ) ],
% 0.83/1.27 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.83/1.27 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.83/1.27 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.27 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.27 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.83/1.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.83/1.27 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.83/1.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.83/1.27 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.83/1.27 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.83/1.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.83/1.27 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ),
% 0.83/1.27 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ]
% 0.83/1.27 ,
% 0.83/1.27 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.83/1.27 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 0.83/1.27 ,
% 0.83/1.27 [ =( 'c_Transcendental_Otan'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.27 'c_Transcendental_Osin'( X ), 'c_Transcendental_Ocos'( X ),
% 0.83/1.27 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.83/1.27 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.83/1.27 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.83/1.27 , X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.83/1.27 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.83/1.27 ,
% 0.83/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.83/1.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.83/1.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.83/1.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.83/1.27 [ ~( =( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'(
% 0.83/1.27 'tc_RealDef_Oreal' ) ) ), =( 'c_Transcendental_Osin'( X ),
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.27 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.83/1.27 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( Y ),
% 0.83/1.27 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ),
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( Y ),
% 0.83/1.27 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 0.83/1.27 ) ],
% 0.83/1.27 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.27 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.27 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.83/1.27 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.83/1.27 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.83/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oarctan'( X ),
% 0.83/1.27 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.83/1.27 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.83/1.27 ,
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.83/1.27 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.83/1.27 ,
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.83/1.27 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.83/1.27 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.83/1.27 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.83/1.27 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.83/1.27 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.83/1.27 , X ), W, X ) ) ],
% 0.83/1.27 [ =( 'c_Transcendental_Otan'( 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.27 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.83/1.27 ) ],
% 0.83/1.27 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.27 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.83/1.27 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.83/1.27 X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.83/1.27 X ) ) ],
% 0.83/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.83/1.27 X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.27 ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.27 ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.27 ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.27 ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 0.83/1.27 X ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 0.83/1.27 , X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.83/1.27 ), X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 0.83/1.27 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.83/1.27 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 0.83/1.27 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.83/1.27 ), X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 0.83/1.27 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 0.83/1.27 Y, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ),
% 0.83/1.27 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.83/1.27 , T, X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 0.83/1.27 X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Z
% 0.83/1.27 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.83/1.27 , T, X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 0.83/1.27 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.83/1.27 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 0.83/1.27 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.83/1.27 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.83/1.27 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.83/1.27 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.27 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ) ],
% 0.83/1.27 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ),
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.27 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), Y, X ), Y ) ],
% 0.83/1.27 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'( Y
% 0.83/1.27 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ), Y ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.83/1.27 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.83/1.27 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.27 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.83/1.27 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.83/1.27 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.83/1.27 , X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.83/1.27 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.83/1.27 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.83/1.27 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.83/1.27 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.83/1.27 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 0.83/1.27 , X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 0.83/1.27 Z, X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.83/1.27 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.83/1.27 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.83/1.27 X ), 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.27 , X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.83/1.27 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.83/1.27 ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.83/1.27 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.27 X ), 'c_HOL_Oinverse__class_Odivide'( Z,
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.83/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.27 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.27 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.27 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 0.83/1.27 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ), Y, X ), Z, X ), X )
% 0.83/1.27 ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.83/1.27 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.83/1.27 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 0.83/1.27 ), Y, X ) ), =( Z, T ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.83/1.27 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.83/1.27 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.83/1.27 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.83/1.27 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.83/1.27 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.83/1.27 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.83/1.27 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.27 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.83/1.27 ,
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.83/1.27 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.27 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.83/1.27 ,
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.83/1.27 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 0.83/1.27 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.27 ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.83/1.27 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.83/1.27 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.27 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.83/1.27 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.27 [ ~( =( 'c_Transcendental_Ocos'( 'c_Int_Onumber__class_Onumber__of'(
% 0.83/1.27 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.83/1.27 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.83/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 0.83/1.27 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.27 ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.83/1.27 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.83/1.27 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 0.83/1.27 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.83/1.27 X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.83/1.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.83/1.27 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.83/1.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.83/1.27 [ =( 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Osin'(
% 0.83/1.27 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.27 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 0.83/1.27 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 0.83/1.27 ), X, 'tc_RealDef_Oreal' ) ) ) ],
% 0.83/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.27 'tc_RealDef_Oreal' ), 'c_Transcendental_Otan'( X ), 'tc_RealDef_Oreal' )
% 0.83/1.27 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.27 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 0.83/1.27 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 0.83/1.27 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.83/1.27 ) ],
% 0.83/1.27 [ =( 'c_Transcendental_Osin'( X ), 'c_Transcendental_Ocos'(
% 0.83/1.27 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.27 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 0.83/1.27 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 0.83/1.27 ), X, 'tc_RealDef_Oreal' ) ) ) ],
% 0.83/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.27 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 0.83/1.27 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.27 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 0.83/1.27 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 0.83/1.27 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.83/1.27 ) ],
% 0.83/1.27 [ =( 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'(
% 0.83/1.27 'tc_RealDef_Oreal' ), 'c_Transcendental_Otan'( X ), 'tc_RealDef_Oreal' )
% 0.83/1.27 , 'c_Transcendental_Otan'( 'c_HOL_Ominus__class_Ominus'(
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.27 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X,
% 0.83/1.27 'tc_RealDef_Oreal' ) ) ) ],
% 0.83/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.27 'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' )
% 0.83/1.27 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.27 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 0.83/1.27 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 0.83/1.27 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.83/1.27 ) ],
% 0.83/1.27 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.27 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 0.83/1.27 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 0.83/1.27 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.27 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 0.83/1.27 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.83/1.27 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.83/1.27 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.83/1.27 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( X, Y ),
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.27 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ), hAPP( X, Y ),
% 0.83/1.27 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 0.83/1.27 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ),
% 0.83/1.27 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ),
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.27 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ), hAPP( X, Y ),
% 0.83/1.27 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 0.83/1.27 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 0.83/1.27 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.27 [ =( 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 0.83/1.27 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 0.83/1.27 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 0.83/1.27 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ),
% 0.83/1.27 'tc_RealDef_Oreal' ), 'c_Transcendental_Oarctan'(
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'(
% 0.83/1.27 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 0.83/1.27 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 0.83/1.27 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Oarctan'(
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'(
% 0.83/1.27 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 0.83/1.27 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.27 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ) ) ) ) ) ),
% 0.83/1.27 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ) ]
% 0.83/1.27 ,
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.27 'c_Int_OPls' ) ), X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.27 'c_Int_OPls' ) ), X ), X ), X ) ) ],
% 0.83/1.27 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.27 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ),
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.27 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ),
% 0.83/1.27 'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' )
% 0.83/1.27 ) ],
% 0.83/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.27 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y,
% 0.83/1.27 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.27 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.27 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.27 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X,
% 0.83/1.27 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.27 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_RealDef_Oreal' ),
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.27 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.27 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.27 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.83/1.27 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.83/1.27 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.27 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y,
% 0.83/1.27 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.83/1.27 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.27 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 0.83/1.27 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 0.83/1.27 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~(
% 0.83/1.27 'c_lessequals'( X, 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.27 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.83/1.27 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.27 [ 'c_lessequals'( X, 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.27 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.83/1.27 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 0.83/1.27 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 0.83/1.27 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ]
% 0.83/1.27 ,
% 0.83/1.27 [ =( 'c_Complex_Ocis'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.83/1.27 ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 0.83/1.27 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.27 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 0.83/1.27 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 0.83/1.27 ) ), 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'(
% 0.83/1.27 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ) )
% 0.83/1.27 ],
% 0.83/1.27 [ =( 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( X ), X,
% 0.83/1.27 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 0.83/1.27 ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.83/1.27 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y,
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 0.83/1.27 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.83/1.27 , Z, X ), Z, X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.83/1.27 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.27 ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.83/1.27 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.27 ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.83/1.27 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ), =( Z,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.83/1.27 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ),
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.83/1.27 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.83/1.27 X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), =(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.83/1.27 , T, X ), Z ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.83/1.27 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.27 ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.83/1.27 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.27 ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 0.83/1.27 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( Y ), X ),
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.83/1.27 'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.83/1.27 , X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.83/1.27 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.83/1.27 , Y, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.83/1.27 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.83/1.27 , Y, X ) ) ],
% 0.83/1.27 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_Int_Onumber__class_Onumber__of'(
% 0.83/1.27 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.83/1.27 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 0.83/1.27 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 0.83/1.27 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 0.83/1.27 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ),
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.27 'c_Int_OPls' ) ), X ), Y, X ), Z, X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ),
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.27 'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 0.83/1.27 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ), X ), X ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.83/1.27 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.27 X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.83/1.27 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.27 X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.83/1.27 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.27 X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.83/1.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.27 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.27 X ) ) ],
% 0.83/1.27 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.27 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 0.83/1.27 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 0.83/1.27 ],
% 0.83/1.27 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 0.83/1.27 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 0.83/1.27 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 0.83/1.27 'c_Transcendental_Osin'( X ) ) ],
% 0.83/1.27 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 0.83/1.27 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 0.83/1.27 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 0.83/1.27 'c_Transcendental_Ocos'( X ) ) ],
% 0.83/1.27 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.27 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 0.83/1.27 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.83/1.27 ) ],
% 0.83/1.27 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 0.83/1.27 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 0.83/1.27 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 0.83/1.27 'c_Transcendental_Otan'( X ) ) ],
% 0.83/1.27 [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Oone__class_Oone'(
% 0.83/1.27 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.27 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 0.83/1.27 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 0.83/1.27 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.27 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.27 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 0.83/1.27 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 0.83/1.27 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.27 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 0.83/1.27 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.27 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.27 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.27 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 0.83/1.27 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 0.83/1.27 ), 'tc_RealDef_Oreal' ) ],
% 0.83/1.27 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.27 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 0.83/1.27 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 0.83/1.27 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 0.83/1.27 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 0.83/1.27 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.83/1.27 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.83/1.27 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.27 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.83/1.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.83/1.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.83/1.27 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.83/1.27 'c_lessequals'( Z, Y, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.83/1.27 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.27 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.83/1.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.83/1.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.83/1.27 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.83/1.27 'c_lessequals'( Z, Y, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.83/1.27 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 0.83/1.27 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 0.83/1.27 W, X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.83/1.27 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.83/1.27 , X ), T, X ), W, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 0.83/1.27 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 0.83/1.27 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 0.83/1.27 W, X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.83/1.27 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.83/1.27 , X ), W, X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.27 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.83/1.27 ,
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.27 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.83/1.27 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.83/1.27 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 0.83/1.27 ],
% 0.83/1.27 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 0.83/1.27 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 0.83/1.27 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 0.83/1.27 ,
% 0.83/1.27 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.83/1.27 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.83/1.27 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 0.83/1.27 ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 0.83/1.27 ,
% 0.83/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 0.83/1.27 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 0.83/1.27 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.27 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 0.83/1.27 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.83/1.27 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.83/1.27 , Y, X ) ) ],
% 0.83/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.83/1.27 , X ) ) ],
% 0.83/1.27 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.83/1.27 , Y, X ) ) ],
% 0.83/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.83/1.27 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.83/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.27 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 0.83/1.27 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_Transcendental_Opi',
% 0.83/1.27 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.83/1.27 ) ],
% 0.83/1.27 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.83/1.27 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.27 X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.27 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.83/1.27 ],
% 0.83/1.27 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal'
% 0.83/1.27 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 0.83/1.27 ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.83/1.27 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.83/1.27 ,
% 0.83/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.83/1.27 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.27 , X ) ) ],
% 0.83/1.27 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.83/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.83/1.27 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.83/1.27 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 0.83/1.27 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.27 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.83/1.27 ],
% 0.83/1.27 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 0.83/1.27 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.27 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.83/1.27 ],
% 0.83/1.27 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 0.83/1.27 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.27 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.83/1.27 ) ],
% 0.83/1.27 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 0.83/1.27 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.27 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.83/1.27 ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.83/1.27 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.83/1.27 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.83/1.27 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.83/1.27 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.27 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.83/1.27 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Otan'(
% 0.83/1.27 X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.83/1.27 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.83/1.27 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.83/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.83/1.27 , X ) ) ],
% 0.83/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.27 , X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.27 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.83/1.27 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.83/1.27 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.83/1.27 ,
% 0.83/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 0.83/1.27 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.83/1.27 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 0.83/1.27 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 0.83/1.27 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 0.83/1.27 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.27 [ =( 'c_Transcendental_Otan'( 'c_Transcendental_Opi' ),
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.83/1.27 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.83/1.27 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.83/1.27 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.27 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 0.83/1.27 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 0.83/1.27 ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.83/1.27 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.83/1.27 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.27 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.83/1.27 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.83/1.27 ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.83/1.27 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 0.83/1.27 ,
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.83/1.27 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 0.83/1.27 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 0.83/1.27 ,
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.83/1.27 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.83/1.27 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.83/1.27 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.83/1.27 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.83/1.27 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( Y ),
% 0.83/1.27 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ),
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( Y ),
% 0.83/1.27 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 0.83/1.27 ) ],
% 0.83/1.27 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.83/1.27 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 0.83/1.27 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 0.83/1.27 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 0.83/1.27 ) ],
% 0.83/1.27 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.83/1.27 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.83/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.83/1.27 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.83/1.27 X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.83/1.27 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 Z, T, X ) ) ],
% 0.83/1.27 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 Z, T, X ) ) ],
% 0.83/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.83/1.27 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.83/1.27 X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.83/1.27 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 Y, T, X ) ) ],
% 0.83/1.27 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 Y, T, X ) ) ],
% 0.83/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.83/1.27 ,
% 0.83/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.83/1.27 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y,
% 0.83/1.27 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 0.83/1.27 ,
% 0.83/1.27 [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 0.83/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.83/1.27 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.83/1.27 , X ) ) ],
% 0.83/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.83/1.27 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.83/1.27 , X ) ) ],
% 0.83/1.27 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.83/1.27 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.83/1.27 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.83/1.27 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.83/1.27 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.83/1.27 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.83/1.27 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.83/1.27 ) ) ],
% 0.83/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.83/1.27 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.83/1.27 ) ) ],
% 0.83/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.83/1.27 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.83/1.27 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.27 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.83/1.27 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.83/1.27 'tc_RealDef_Oreal' ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.83/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.83/1.27 ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.83/1.27 , Y, X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.83/1.27 , T, X ), X ) ) ],
% 0.83/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.83/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.83/1.27 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.83/1.27 , T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.88/1.27 , Y, X ), X ) ) ],
% 0.88/1.27 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ),
% 0.88/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.88/1.27 ), 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.88/1.27 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.88/1.27 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 0.88/1.27 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 0.88/1.27 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 0.88/1.27 ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.27 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.88/1.27 'c_lessequals'( Z, Y, X ) ],
% 0.88/1.27 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 0.88/1.27 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.27 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.88/1.27 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.88/1.27 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.88/1.27 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 0.88/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.88/1.27 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.88/1.27 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.27 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 0.88/1.27 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 0.88/1.27 ) ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'(
% 0.88/1.27 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 0.88/1.27 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.27 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 0.88/1.27 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 0.88/1.27 ) ), 'c_HOL_Oinverse__class_Odivide'( 'c_NthRoot_Osqrt'(
% 0.88/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 0.88/1.27 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 0.88/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.88/1.27 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.27 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.27 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 0.88/1.27 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 0.88/1.27 ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oarctan'( X ),
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 0.88/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.88/1.27 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.88/1.27 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.27 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 0.88/1.27 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 0.88/1.27 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 0.88/1.27 ],
% 0.88/1.27 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.27 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 0.88/1.27 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 0.88/1.27 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'(
% 0.88/1.27 'c_Transcendental_Osko__Transcendental__Xlemma__tan__total1__1__1'( X ),
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 0.88/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.88/1.27 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.88/1.27 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.27 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 0.88/1.27 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 0.88/1.27 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.27 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.88/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.88/1.27 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.27 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.27 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 0.88/1.27 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 0.88/1.27 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.27 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 0.88/1.27 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 0.88/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.88/1.27 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.27 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_Int_Onumber__class_Onumber__of'(
% 0.88/1.27 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 0.88/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.88/1.27 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.88/1.27 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.27 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 0.88/1.27 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 0.88/1.27 'c_RealDef_Oreal'( X, 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 0.88/1.27 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.27 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 0.88/1.27 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 0.88/1.27 'c_RealDef_Oreal'( X, 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 0.88/1.27 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'(
% 0.88/1.27 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.27 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.88/1.27 'c_HOL_Oone__class_Oone'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 0.88/1.27 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ) )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.88/1.27 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 0.88/1.27 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y
% 0.88/1.27 , X ) ) ],
% 0.88/1.27 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.88/1.27 'c_Int_OPls' ) ), X ), Y, X ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.88/1.27 'c_Int_OPls' ) ), X ), X ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 0.88/1.27 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.88/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.88/1.27 'c_Int_OPls' ) ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.88/1.27 Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.88/1.27 'c_Int_OPls' ) ), 'tc_nat' ), X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.88/1.27 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 0.88/1.27 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 0.88/1.27 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ),
% 0.88/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.88/1.27 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.88/1.27 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oinverse__class_Odivide'( X
% 0.88/1.27 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.88/1.27 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.88/1.27 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( X,
% 0.88/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.88/1.27 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.27 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( X,
% 0.88/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.88/1.27 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( X, 'c_Int_Onumber__class_Onumber__of'(
% 0.88/1.27 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 0.88/1.27 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi',
% 0.88/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 0.88/1.27 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 0.88/1.27 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 0.88/1.27 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 0.88/1.27 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.88/1.27 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'( 'v_k', 'tc_nat' ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 0.88/1.27 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 0.88/1.27 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.88/1.27 'c_RealDef_Oreal'( 'v_n', 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 0.88/1.27 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), ~( 'class_Int_Onumber'(
% 0.88/1.27 X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.88/1.27 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.88/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.88/1.27 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.88/1.27 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.27 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 0.88/1.27 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 0.88/1.27 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.88/1.27 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 0.88/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.88/1.27 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ],
% 0.88/1.27 [ 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.27 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 0.88/1.27 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 0.88/1.27 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.88/1.27 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ =( 'c_FFT__Mirabelle_Oroot'( X ), 'c_Complex_Ocis'(
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.88/1.27 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 0.88/1.27 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 0.88/1.27 'tc_RealDef_Oreal' ) ) ) ],
% 0.88/1.27 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'( 'v_k', 'tc_nat' ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 0.88/1.27 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 0.88/1.27 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.88/1.27 'c_RealDef_Oreal'( 'v_n', 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 0.88/1.27 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 0.88/1.27 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ =( 'c_Power_Opower__class_Opower'( 'c_Complex_Ocis'( X ), Y,
% 0.88/1.27 'tc_Complex_Ocomplex' ), 'c_Complex_Ocis'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_RealDef_Oreal'( Y, 'tc_nat' ), X, 'tc_RealDef_Oreal' ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 'class_Int_Onumber'( X )
% 0.88/1.27 ), =( 'c_HOL_Oinverse__class_Oinverse'(
% 0.88/1.27 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 0.88/1.27 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.88/1.27 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 0.88/1.27 Z, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.88/1.27 [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 0.88/1.27 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X,
% 0.88/1.27 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.88/1.27 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 0.88/1.27 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), Z,
% 0.88/1.27 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.27 [ =( 'c_Int_OBit0'( 'c_Int_OPls' ), 'c_Int_OPls' ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.88/1.27 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.88/1.27 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.88/1.27 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 0.88/1.27 Y, Z, X ), X ) ) ],
% 0.88/1.27 [ ~( =( 'c_Int_OPls', 'c_Int_OBit1'( X ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'(
% 0.88/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 0.88/1.27 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ =( 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( X, Y
% 0.88/1.27 , 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, X,
% 0.88/1.27 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.27 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OPls' ) ) ],
% 0.88/1.27 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OPls' ) ), =( X, 'c_Int_OPls' ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ) ) ), =( X, Y ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.88/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 0.88/1.27 ), Y ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.88/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 0.88/1.27 ), Y ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.88/1.27 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.88/1.27 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.88/1.27 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 0.88/1.27 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( X, 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.88/1.27 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ),
% 0.88/1.27 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.27 [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 0.88/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.88/1.27 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.88/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 0.88/1.27 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.88/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.88/1.27 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 0.88/1.27 ) ],
% 0.88/1.27 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 0.88/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ),
% 0.88/1.27 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.88/1.27 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ) ) ) ],
% 0.88/1.27 [ =( 'c_Int_OPls', 'c_Int_OBit0'( 'c_Int_OPls' ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.88/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.88/1.27 X ), T, X ) ) ],
% 0.88/1.27 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.88/1.27 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.88/1.27 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.88/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.88/1.27 T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.88/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.88/1.27 X ), T, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.88/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.88/1.27 T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.88/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.88/1.27 X ), Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.88/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.88/1.27 T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oone__class_Oone'( X )
% 0.88/1.27 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 0.88/1.27 ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.88/1.27 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.88/1.27 Y, X ), Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.88/1.27 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.88/1.27 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.88/1.27 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.88/1.27 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.88/1.27 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.88/1.27 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.88/1.27 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.88/1.27 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.27 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.88/1.27 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.27 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.88/1.27 Z, T, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.88/1.27 [ ~( =( 'c_RealDef_Oreal'( X, 'tc_nat' ), 'c_RealDef_Oreal'( Y, 'tc_nat'
% 0.88/1.27 ) ) ), =( X, Y ) ],
% 0.88/1.27 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), Y
% 0.88/1.27 , X ), Y ) ],
% 0.88/1.27 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 0.88/1.27 , X ), Y ) ],
% 0.88/1.27 [ ~( =( 'c_Int_OPls', 'c_Int_OBit0'( X ) ) ), =( 'c_Int_OPls', X ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.27 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.88/1.27 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 0.88/1.27 , X ) ) ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.88/1.27 ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 0.88/1.27 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.88/1.27 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.27 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 0.88/1.27 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ) ) ), =( X, Y ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.88/1.27 ), X ), Y ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.88/1.27 , Y, X ) ) ],
% 0.88/1.27 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.88/1.27 , Y, X ) ) ],
% 0.88/1.27 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 0.88/1.27 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.88/1.27 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.88/1.27 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.88/1.27 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ) ) ) ],
% 0.88/1.27 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.88/1.27 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.88/1.27 Y, T, X ), Z, X ) ) ],
% 0.88/1.27 [ =( 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.88/1.27 'c_Complex_Ocis'( 'c_HOL_Oinverse__class_Odivide'(
% 0.88/1.27 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 0.88/1.27 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 0.88/1.27 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'( 'v_n',
% 0.88/1.27 'tc_nat' ), 'tc_RealDef_Oreal' ) ), 'tc_Complex_Ocomplex' ), 'v_k',
% 0.88/1.27 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 0.88/1.27 ) ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.88/1.27 ],
% 0.88/1.27 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.88/1.27 ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.88/1.27 ],
% 0.88/1.27 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.88/1.27 'tc_Int_Oint' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.88/1.27 'tc_Int_Oint' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.88/1.27 'tc_Int_Oint' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 0.88/1.27 ],
% 0.88/1.27 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 0.88/1.27 ],
% 0.88/1.27 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 0.88/1.27 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 0.88/1.27 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 0.88/1.27 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 0.88/1.27 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 0.88/1.27 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 0.88/1.27 [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 0.88/1.27 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.88/1.27 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.88/1.27 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.88/1.27 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.88/1.27 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.88/1.27 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.88/1.27 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 0.88/1.27 ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 0.88/1.27 ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 0.88/1.27 ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 0.88/1.27 ],
% 0.88/1.27 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 0.88/1.27 ],
% 0.88/1.27 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ 'class_Int_Oring__char__0'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ 'class_Int_Onumber'( 'tc_RealDef_Oreal' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.88/1.27 'tc_Complex_Ocomplex' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.88/1.27 'tc_Complex_Ocomplex' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.88/1.27 'tc_Complex_Ocomplex' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 0.88/1.27 ],
% 0.88/1.27 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.88/1.27 ],
% 0.88/1.27 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.88/1.27 ],
% 0.88/1.27 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.27 ,
% 0.88/1.27 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.27 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.27 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.27 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.27 [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.27 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.27 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 0.88/1.27 [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ]
% 0.88/1.27 ] .
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 percentage equality = 0.177150, percentage horn = 0.841518
% 0.88/1.27 This is a problem with some equality
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27
% 0.88/1.27 Options Used:
% 0.88/1.27
% 0.88/1.27 useres = 1
% 0.88/1.27 useparamod = 1
% 0.88/1.27 useeqrefl = 1
% 0.88/1.27 useeqfact = 1
% 0.88/1.27 usefactor = 1
% 0.88/1.27 usesimpsplitting = 0
% 0.88/1.27 usesimpdemod = 5
% 0.88/1.27 usesimpres = 3
% 0.88/1.27
% 0.88/1.27 resimpinuse = 1000
% 0.88/1.27 resimpclauses = 20000
% 0.88/1.27 substype = eqrewr
% 0.88/1.27 backwardsubs = 1
% 0.88/1.27 selectoldest = 5
% 0.88/1.27
% 0.88/1.27 litorderings [0] = split
% 0.88/1.27 litorderings [1] = extend the termordering, first sorting on arguments
% 0.88/1.27
% 0.88/1.27 termordering = kbo
% 0.88/1.27
% 0.88/1.27 litapriori = 0
% 0.88/1.27 termapriori = 1
% 0.88/1.27 litaposteriori = 0
% 0.88/1.27 termaposteriori = 0
% 0.88/1.27 demodaposteriori = 0
% 0.88/1.27 ordereqreflfact = 0
% 0.88/1.27
% 0.88/1.27 litselect = negord
% 0.88/1.27
% 0.88/1.27 maxweight = 15
% 0.88/1.27 maxdepth = 30000
% 0.88/1.27 maxlength = 115
% 0.88/1.27 maxnrvars = 195
% 0.88/1.27 excuselevel = 1
% 0.88/1.27 increasemaxweight = 1
% 0.88/1.27
% 0.88/1.27 maxselected = 10000000
% 0.88/1.27 maxnrclauses = 10000000
% 0.88/1.27
% 0.88/1.27 showgenerated = 0
% 0.88/1.27 showkept = 0
% 0.88/1.27 showselected = 0
% 0.88/1.27 showdeleted = 0
% 0.88/1.27 showresimp = 1
% 0.88/1.27 showstatus = 2000
% 0.88/1.27
% 0.88/1.27 prologoutput = 1
% 0.88/1.27 nrgoals = 5000000
% 0.88/1.27 totalproof = 1
% 0.88/1.27
% 0.88/1.27 Symbols occurring in the translation:
% 0.88/1.27
% 0.88/1.27 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.88/1.27 . [1, 2] (w:1, o:122, a:1, s:1, b:0),
% 0.88/1.27 ! [4, 1] (w:0, o:52, a:1, s:1, b:0),
% 0.88/1.27 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.88/1.27 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.88/1.27 'c_NthRoot_Osqrt' [40, 1] (w:1, o:57, a:1, s:1, b:0),
% 0.88/1.27 'tc_RealDef_Oreal' [41, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.88/1.27 'c_HOL_Ozero__class_Ozero' [42, 1] (w:1, o:58, a:1, s:1, b:0),
% 0.88/1.27 'c_lessequals' [43, 3] (w:1, o:151, a:1, s:1, b:0),
% 0.88/1.27 'class_Ring__and__Field_Oordered__idom' [45, 1] (w:1, o:63, a:1, s:1
% 0.88/1.27 , b:0),
% 0.88/1.27 'c_HOL_Oord__class_Oless' [46, 3] (w:1, o:152, a:1, s:1, b:0),
% 0.88/1.27 'tc_nat' [48, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.88/1.27 'c_Int_Onumber__class_Onumber__of' [49, 2] (w:1, o:148, a:1, s:1, b:0
% 0.88/1.27 ),
% 0.88/1.27 'c_Power_Opower__class_Opower' [50, 3] (w:1, o:153, a:1, s:1, b:0),
% 0.88/1.27 'class_Ring__and__Field_Oordered__field' [51, 1] (w:1, o:64, a:1, s:1
% 0.88/1.27 , b:0),
% 0.88/1.27 'class_Ring__and__Field_Odivision__by__zero' [52, 1] (w:1, o:67, a:1
% 0.88/1.27 , s:1, b:0),
% 0.88/1.27 'c_HOL_Oone__class_Oone' [53, 1] (w:1, o:68, a:1, s:1, b:0),
% 0.88/1.27 'c_HOL_Oinverse__class_Oinverse' [54, 2] (w:1, o:147, a:1, s:1, b:0)
% 0.88/1.27 ,
% 0.88/1.27 'c_Transcendental_Otan' [55, 1] (w:1, o:71, a:1, s:1, b:0),
% 0.88/1.27 'c_HOL_Oplus__class_Oplus' [57, 3] (w:1, o:154, a:1, s:1, b:0),
% 0.88/1.27 'c_Transcendental_Osin' [58, 1] (w:1, o:69, a:1, s:1, b:0),
% 0.88/1.27 'c_Transcendental_Ocos' [59, 1] (w:1, o:72, a:1, s:1, b:0),
% 0.88/1.27 'c_HOL_Otimes__class_Otimes' [60, 3] (w:1, o:155, a:1, s:1, b:0),
% 0.88/1.27 'c_HOL_Oinverse__class_Odivide' [61, 3] (w:1, o:156, a:1, s:1, b:0),
% 0.88/1.27
% 0.88/1.27 'class_Ring__and__Field_Oordered__ring__strict' [63, 1] (w:1, o:73
% 0.88/1.27 , a:1, s:1, b:0),
% 0.88/1.27 'class_Ring__and__Field_Oordered__comm__semiring__strict' [65, 1] (w:
% 0.88/1.27 1, o:74, a:1, s:1, b:0),
% 0.88/1.27 'class_Ring__and__Field_Oordered__semiring__strict' [67, 1] (w:1, o:
% 0.88/1.27 75, a:1, s:1, b:0),
% 0.88/1.27 'class_OrderedGroup_Omonoid__add' [69, 1] (w:1, o:77, a:1, s:1, b:0)
% 0.88/1.27 ,
% 0.88/1.27 'class_OrderedGroup_Ocomm__monoid__add' [70, 1] (w:1, o:78, a:1, s:1
% 0.88/1.27 , b:0),
% 0.88/1.27 'class_Ring__and__Field_Oidom' [71, 1] (w:1, o:79, a:1, s:1, b:0),
% 0.88/1.27 'class_Int_Onumber__ring' [72, 1] (w:1, o:80, a:1, s:1, b:0),
% 0.88/1.27 'class_Ring__and__Field_Ocomm__semiring__1' [73, 1] (w:1, o:65, a:1
% 0.88/1.27 , s:1, b:0),
% 0.88/1.27 'class_OrderedGroup_Ogroup__add' [74, 1] (w:1, o:81, a:1, s:1, b:0),
% 0.88/1.27
% 0.88/1.27 'c_HOL_Ominus__class_Ominus' [75, 3] (w:1, o:157, a:1, s:1, b:0),
% 0.88/1.27 'class_Ring__and__Field_Ozero__neq__one' [76, 1] (w:1, o:82, a:1, s:1
% 0.88/1.27 , b:0),
% 0.88/1.27 'class_Ring__and__Field_Ono__zero__divisors' [77, 1] (w:1, o:62, a:1
% 0.88/1.27 , s:1, b:0),
% 0.88/1.27 'class_Ring__and__Field_Omult__zero' [78, 1] (w:1, o:59, a:1, s:1, b:
% 6.11/6.56 0),
% 6.11/6.56 'class_Power_Opower' [79, 1] (w:1, o:99, a:1, s:1, b:0),
% 6.11/6.56 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [80, 1]
% 6.11/6.56 (w:1, o:83, a:1, s:1, b:0),
% 6.11/6.56 'class_Ring__and__Field_Oring__no__zero__divisors' [82, 1] (w:1, o:
% 6.11/6.56 100, a:1, s:1, b:0),
% 6.11/6.56 'class_RealVector_Oreal__normed__algebra' [83, 1] (w:1, o:101, a:1
% 6.11/6.56 , s:1, b:0),
% 6.11/6.56 'class_OrderedGroup_Oab__group__add' [84, 1] (w:1, o:84, a:1, s:1, b:
% 6.11/6.56 0),
% 6.11/6.56 'class_OrderedGroup_Opordered__comm__monoid__add' [85, 1] (w:1, o:85
% 6.11/6.56 , a:1, s:1, b:0),
% 6.11/6.56 'c_RealDef_Oreal' [87, 2] (w:1, o:149, a:1, s:1, b:0),
% 6.11/6.56 'class_Ring__and__Field_Oordered__semidom' [91, 1] (w:1, o:102, a:1
% 6.11/6.56 , s:1, b:0),
% 6.11/6.56 'c_Transcendental_Opi' [92, 0] (w:1, o:32, a:1, s:1, b:0),
% 6.11/6.56 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [93, 1]
% 6.11/6.56 (w:1, o:86, a:1, s:1, b:0),
% 6.11/6.56 'class_Orderings_Olinorder' [94, 1] (w:1, o:87, a:1, s:1, b:0),
% 6.11/6.56 'class_Orderings_Opreorder' [95, 1] (w:1, o:89, a:1, s:1, b:0),
% 6.11/6.56 'class_OrderedGroup_Oab__semigroup__add' [96, 1] (w:1, o:90, a:1, s:1
% 6.11/6.56 , b:0),
% 6.11/6.56 'class_Orderings_Oorder' [97, 1] (w:1, o:88, a:1, s:1, b:0),
% 6.11/6.56 'class_OrderedGroup_Olordered__ab__group__add' [98, 1] (w:1, o:76, a:
% 6.11/6.56 1, s:1, b:0),
% 6.11/6.56 'c_Transcendental_Oarctan' [99, 1] (w:1, o:103, a:1, s:1, b:0),
% 6.11/6.56 'class_Ring__and__Field_Oring' [100, 1] (w:1, o:104, a:1, s:1, b:0),
% 6.11/6.56
% 6.11/6.56 'class_Ring__and__Field_Opordered__ring' [102, 1] (w:1, o:106, a:1
% 6.11/6.56 , s:1, b:0),
% 6.11/6.56 'class_Ring__and__Field_Oordered__semiring' [103, 1] (w:1, o:105, a:1
% 6.11/6.56 , s:1, b:0),
% 6.11/6.56 'class_Ring__and__Field_Ocomm__semiring' [105, 1] (w:1, o:66, a:1, s:
% 6.11/6.56 1, b:0),
% 6.11/6.56 'class_Ring__and__Field_Osemiring' [109, 1] (w:1, o:108, a:1, s:1, b:
% 6.11/6.56 0),
% 6.11/6.56 'class_Int_Onumber' [110, 1] (w:1, o:109, a:1, s:1, b:0),
% 6.11/6.56 'c_Int_OBit0' [111, 1] (w:1, o:110, a:1, s:1, b:0),
% 6.11/6.56 'class_Ring__and__Field_Ofield' [112, 1] (w:1, o:111, a:1, s:1, b:0)
% 6.11/6.56 ,
% 6.11/6.56 'class_RealVector_Oreal__field' [113, 1] (w:1, o:112, a:1, s:1, b:0)
% 6.11/6.56 ,
% 6.11/6.56 'c_Int_OPls' [115, 0] (w:1, o:35, a:1, s:1, b:0),
% 6.11/6.56 'c_Int_OBit1' [116, 1] (w:1, o:113, a:1, s:1, b:0),
% 6.11/6.56 'class_OrderedGroup_Opordered__ab__semigroup__add' [117, 1] (w:1, o:
% 6.11/6.56 91, a:1, s:1, b:0),
% 6.11/6.56 'class_Ring__and__Field_Omult__mono1' [118, 1] (w:1, o:60, a:1, s:1
% 6.11/6.56 , b:0),
% 6.11/6.56 'class_Ring__and__Field_Omult__mono' [119, 1] (w:1, o:61, a:1, s:1
% 6.11/6.56 , b:0),
% 6.11/6.56 'c_Transcendental_Osko__Transcendental__Xlemma__tan__total1__1__1' [121, 1
% 6.11/6.56 ] (w:1, o:70, a:1, s:1, b:0),
% 6.11/6.56 'class_OrderedGroup_Opordered__ab__group__add' [122, 1] (w:1, o:92
% 6.11/6.56 , a:1, s:1, b:0),
% 6.11/6.56 'class_Ring__and__Field_Oring__1__no__zero__divisors' [123, 1] (w:1
% 6.11/6.56 , o:107, a:1, s:1, b:0),
% 6.11/6.56 'class_RealVector_Oreal__normed__field' [124, 1] (w:1, o:114, a:1, s:
% 6.11/6.56 1, b:0),
% 6.11/6.56 'class_Ring__and__Field_Odivision__ring' [125, 1] (w:1, o:115, a:1
% 6.11/6.56 , s:1, b:0),
% 6.11/6.56 'class_Ring__and__Field_Opordered__cancel__semiring' [129, 1] (w:1
% 6.11/6.56 , o:116, a:1, s:1, b:0),
% 6.11/6.56 'class_Ring__and__Field_Opordered__semiring' [130, 1] (w:1, o:117, a:
% 6.11/6.56 1, s:1, b:0),
% 6.11/6.56 'class_OrderedGroup_Ocancel__ab__semigroup__add' [131, 1] (w:1, o:93
% 6.11/6.56 , a:1, s:1, b:0),
% 6.11/6.56 'class_OrderedGroup_Ocancel__semigroup__add' [132, 1] (w:1, o:94, a:1
% 6.11/6.56 , s:1, b:0),
% 6.11/6.56 'class_Ring__and__Field_Osemiring__1' [134, 1] (w:1, o:118, a:1, s:1
% 6.11/6.56 , b:0),
% 6.11/6.56 hAPP [136, 2] (w:1, o:150, a:1, s:1, b:0),
% 6.11/6.56 'c_Complex_Ocis' [137, 1] (w:1, o:119, a:1, s:1, b:0),
% 6.11/6.56 'tc_Complex_Ocomplex' [138, 0] (w:1, o:42, a:1, s:1, b:0),
% 6.11/6.56 'c_FFT__Mirabelle_Oroot' [139, 1] (w:1, o:120, a:1, s:1, b:0),
% 6.11/6.56 'class_OrderedGroup_Omonoid__mult' [143, 1] (w:1, o:95, a:1, s:1, b:0
% 6.11/6.56 ),
% 6.11/6.56 'v_k' [144, 0] (w:1, o:46, a:1, s:1, b:0),
% 6.11/6.56 'v_n' [145, 0] (w:1, o:47, a:1, s:1, b:0),
% 6.11/6.56 'class_OrderedGroup_Oab__semigroup__mult' [152, 1] (w:1, o:96, a:1
% 6.11/6.56 , s:1, b:0),
% 6.11/6.56 'class_OrderedGroup_Ocomm__monoid__mult' [153, 1] (w:1, o:97, a:1, s:
% 6.11/6.56 1, b:0),
% 6.11/6.56 'class_OrderedGroup_Oab__semigroup__idem__mult' [155, 1] (w:1, o:98
% 6.11/6.56 , a:1, s:1, b:0),
% 45.14/45.52 'class_Int_Oring__char__0' [156, 1] (w:1, o:121, a:1, s:1, b:0),
% 45.14/45.52 'tc_Int_Oint' [157, 0] (w:1, o:51, a:1, s:1, b:0).
% 45.14/45.52
% 45.14/45.52
% 45.14/45.52 Starting Search:
% 45.14/45.52
% 45.14/45.52 Resimplifying inuse:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52
% 45.14/45.52 Intermediate Status:
% 45.14/45.52 Generated: 3597
% 45.14/45.52 Kept: 2028
% 45.14/45.52 Inuse: 110
% 45.14/45.52 Deleted: 1
% 45.14/45.52 Deletedinuse: 0
% 45.14/45.52
% 45.14/45.52 Resimplifying inuse:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52 Resimplifying inuse:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52
% 45.14/45.52 Intermediate Status:
% 45.14/45.52 Generated: 13588
% 45.14/45.52 Kept: 4999
% 45.14/45.52 Inuse: 268
% 45.14/45.52 Deleted: 3
% 45.14/45.52 Deletedinuse: 0
% 45.14/45.52
% 45.14/45.52 Resimplifying inuse:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52 Resimplifying inuse:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52
% 45.14/45.52 Intermediate Status:
% 45.14/45.52 Generated: 20631
% 45.14/45.52 Kept: 8123
% 45.14/45.52 Inuse: 308
% 45.14/45.52 Deleted: 3
% 45.14/45.52 Deletedinuse: 0
% 45.14/45.52
% 45.14/45.52 Resimplifying inuse:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52 Resimplifying inuse:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52
% 45.14/45.52 Intermediate Status:
% 45.14/45.52 Generated: 24458
% 45.14/45.52 Kept: 10131
% 45.14/45.52 Inuse: 334
% 45.14/45.52 Deleted: 3
% 45.14/45.52 Deletedinuse: 0
% 45.14/45.52
% 45.14/45.52 Resimplifying inuse:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52 Resimplifying inuse:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52
% 45.14/45.52 Intermediate Status:
% 45.14/45.52 Generated: 30945
% 45.14/45.52 Kept: 12672
% 45.14/45.52 Inuse: 392
% 45.14/45.52 Deleted: 4
% 45.14/45.52 Deletedinuse: 0
% 45.14/45.52
% 45.14/45.52 Resimplifying inuse:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52 Resimplifying inuse:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52
% 45.14/45.52 Intermediate Status:
% 45.14/45.52 Generated: 36733
% 45.14/45.52 Kept: 14674
% 45.14/45.52 Inuse: 451
% 45.14/45.52 Deleted: 5
% 45.14/45.52 Deletedinuse: 0
% 45.14/45.52
% 45.14/45.52 Resimplifying inuse:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52 Resimplifying inuse:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52
% 45.14/45.52 Intermediate Status:
% 45.14/45.52 Generated: 49573
% 45.14/45.52 Kept: 16768
% 45.14/45.52 Inuse: 556
% 45.14/45.52 Deleted: 6
% 45.14/45.52 Deletedinuse: 1
% 45.14/45.52
% 45.14/45.52 Resimplifying inuse:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52 Resimplifying inuse:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52
% 45.14/45.52 Intermediate Status:
% 45.14/45.52 Generated: 57959
% 45.14/45.52 Kept: 18794
% 45.14/45.52 Inuse: 620
% 45.14/45.52 Deleted: 7
% 45.14/45.52 Deletedinuse: 1
% 45.14/45.52
% 45.14/45.52 Resimplifying inuse:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52 Resimplifying clauses:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52
% 45.14/45.52 Intermediate Status:
% 45.14/45.52 Generated: 66226
% 45.14/45.52 Kept: 21025
% 45.14/45.52 Inuse: 635
% 45.14/45.52 Deleted: 740
% 45.14/45.52 Deletedinuse: 1
% 45.14/45.52
% 45.14/45.52 Resimplifying inuse:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52 Resimplifying inuse:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52
% 45.14/45.52 Intermediate Status:
% 45.14/45.52 Generated: 73007
% 45.14/45.52 Kept: 23047
% 45.14/45.52 Inuse: 670
% 45.14/45.52 Deleted: 740
% 45.14/45.52 Deletedinuse: 1
% 45.14/45.52
% 45.14/45.52 Resimplifying inuse:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52
% 45.14/45.52 Intermediate Status:
% 45.14/45.52 Generated: 89679
% 45.14/45.52 Kept: 26042
% 45.14/45.52 Inuse: 730
% 45.14/45.52 Deleted: 740
% 45.14/45.52 Deletedinuse: 1
% 45.14/45.52
% 45.14/45.52 Resimplifying inuse:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52 Resimplifying inuse:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52
% 45.14/45.52 Intermediate Status:
% 45.14/45.52 Generated: 106914
% 45.14/45.52 Kept: 29932
% 45.14/45.52 Inuse: 738
% 45.14/45.52 Deleted: 740
% 45.14/45.52 Deletedinuse: 1
% 45.14/45.52
% 45.14/45.52 Resimplifying inuse:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52 Resimplifying inuse:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52
% 45.14/45.52 Intermediate Status:
% 45.14/45.52 Generated: 126749
% 45.14/45.52 Kept: 33180
% 45.14/45.52 Inuse: 780
% 45.14/45.52 Deleted: 740
% 45.14/45.52 Deletedinuse: 1
% 45.14/45.52
% 45.14/45.52 Resimplifying inuse:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52 Resimplifying inuse:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52
% 45.14/45.52 Intermediate Status:
% 45.14/45.52 Generated: 134053
% 45.14/45.52 Kept: 35180
% 45.14/45.52 Inuse: 813
% 45.14/45.52 Deleted: 740
% 45.14/45.52 Deletedinuse: 1
% 45.14/45.52
% 45.14/45.52 Resimplifying inuse:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52 Resimplifying inuse:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52
% 45.14/45.52 Intermediate Status:
% 45.14/45.52 Generated: 146609
% 45.14/45.52 Kept: 37324
% 45.14/45.52 Inuse: 840
% 45.14/45.52 Deleted: 740
% 45.14/45.52 Deletedinuse: 1
% 45.14/45.52
% 45.14/45.52 Resimplifying inuse:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52
% 45.14/45.52 Intermediate Status:
% 45.14/45.52 Generated: 164859
% 45.14/45.52 Kept: 39949
% 45.14/45.52 Inuse: 860
% 45.14/45.52 Deleted: 740
% 45.14/45.52 Deletedinuse: 1
% 45.14/45.52
% 45.14/45.52 Resimplifying inuse:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52 Resimplifying clauses:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52 Resimplifying inuse:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52
% 45.14/45.52 Intermediate Status:
% 45.14/45.52 Generated: 172866
% 45.14/45.52 Kept: 42150
% 45.14/45.52 Inuse: 895
% 45.14/45.52 Deleted: 1560
% 45.14/45.52 Deletedinuse: 1
% 45.14/45.52
% 45.14/45.52 Resimplifying inuse:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52 Resimplifying inuse:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52
% 45.14/45.52 Intermediate Status:
% 45.14/45.52 Generated: 179670
% 45.14/45.52 Kept: 44268
% 45.14/45.52 Inuse: 935
% 45.14/45.52 Deleted: 1560
% 45.14/45.52 Deletedinuse: 1
% 45.14/45.52
% 45.14/45.52 Resimplifying inuse:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52 Resimplifying inuse:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52
% 45.14/45.52 Intermediate Status:
% 45.14/45.52 Generated: 198727
% 45.14/45.52 Kept: 48481
% 45.14/45.52 Inuse: 958
% 45.14/45.52 Deleted: 1560
% 45.14/45.52 Deletedinuse: 1
% 45.14/45.52
% 45.14/45.52 Resimplifying inuse:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52 Resimplifying inuse:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52
% 45.14/45.52 Intermediate Status:
% 45.14/45.52 Generated: 211236
% 45.14/45.52 Kept: 50961
% 45.14/45.52 Inuse: 970
% 45.14/45.52 Deleted: 1560
% 45.14/45.52 Deletedinuse: 1
% 45.14/45.52
% 45.14/45.52 Resimplifying inuse:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52 Resimplifying inuse:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52
% 45.14/45.52 Intermediate Status:
% 45.14/45.52 Generated: 221909
% 45.14/45.52 Kept: 53124
% 45.14/45.52 Inuse: 995
% 45.14/45.52 Deleted: 1560
% 45.14/45.52 Deletedinuse: 1
% 45.14/45.52
% 45.14/45.52 Resimplifying inuse:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52 Resimplifying inuse:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52
% 45.14/45.52 Intermediate Status:
% 45.14/45.52 Generated: 230290
% 45.14/45.52 Kept: 55139
% 45.14/45.52 Inuse: 1028
% 45.14/45.52 Deleted: 1560
% 45.14/45.52 Deletedinuse: 1
% 45.14/45.52
% 45.14/45.52 Resimplifying inuse:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52 Resimplifying inuse:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52
% 45.14/45.52 Intermediate Status:
% 45.14/45.52 Generated: 238744
% 45.14/45.52 Kept: 57306
% 45.14/45.52 Inuse: 1060
% 45.14/45.52 Deleted: 1560
% 45.14/45.52 Deletedinuse: 1
% 45.14/45.52
% 45.14/45.52 Resimplifying inuse:
% 45.14/45.52 Done
% 45.14/45.52
% 45.14/45.52
% 45.14/45.52 Intermediate Status:
% 45.14/45.52 Generated: 251524
% 45.14/45.52 Kept: 60291
% 45.14/45.52 Inuse: 1070
% 117.97/118.45 Deleted: 1560
% 117.97/118.45 Deletedinuse: 1
% 117.97/118.45
% 117.97/118.45 Resimplifying inuse:
% 117.97/118.45 Done
% 117.97/118.45
% 117.97/118.45 Resimplifying clauses:
% 117.97/118.45 Done
% 117.97/118.45
% 117.97/118.45 Resimplifying inuse:
% 117.97/118.45 Done
% 117.97/118.45
% 117.97/118.45
% 117.97/118.45 Intermediate Status:
% 117.97/118.45 Generated: 271249
% 117.97/118.45 Kept: 62346
% 117.97/118.45 Inuse: 1080
% 117.97/118.45 Deleted: 2113
% 117.97/118.45 Deletedinuse: 1
% 117.97/118.45
% 117.97/118.45 Resimplifying inuse:
% 117.97/118.45 Done
% 117.97/118.45
% 117.97/118.45 Resimplifying inuse:
% 117.97/118.45 Done
% 117.97/118.45
% 117.97/118.45
% 117.97/118.45 Intermediate Status:
% 117.97/118.45 Generated: 286130
% 117.97/118.45 Kept: 64534
% 117.97/118.45 Inuse: 1105
% 117.97/118.45 Deleted: 2113
% 117.97/118.45 Deletedinuse: 1
% 117.97/118.45
% 117.97/118.45 Resimplifying inuse:
% 117.97/118.45 Done
% 117.97/118.45
% 117.97/118.45 Resimplifying inuse:
% 117.97/118.45 Done
% 117.97/118.45
% 117.97/118.45
% 117.97/118.45 Intermediate Status:
% 117.97/118.45 Generated: 296107
% 117.97/118.45 Kept: 66706
% 117.97/118.45 Inuse: 1140
% 117.97/118.45 Deleted: 2115
% 117.97/118.45 Deletedinuse: 3
% 117.97/118.45
% 117.97/118.45 Resimplifying inuse:
% 117.97/118.45 Done
% 117.97/118.45
% 117.97/118.45 Resimplifying inuse:
% 117.97/118.45 Done
% 117.97/118.45
% 117.97/118.45
% 117.97/118.45 Intermediate Status:
% 117.97/118.45 Generated: 306433
% 117.97/118.45 Kept: 69011
% 117.97/118.45 Inuse: 1175
% 117.97/118.45 Deleted: 2115
% 117.97/118.45 Deletedinuse: 3
% 117.97/118.45
% 117.97/118.45 Resimplifying inuse:
% 117.97/118.45 Done
% 117.97/118.45
% 117.97/118.45
% 117.97/118.45 Intermediate Status:
% 117.97/118.45 Generated: 320795
% 117.97/118.45 Kept: 73157
% 117.97/118.45 Inuse: 1180
% 117.97/118.45 Deleted: 2115
% 117.97/118.45 Deletedinuse: 3
% 117.97/118.45
% 117.97/118.45 Resimplifying inuse:
% 117.97/118.45 Done
% 117.97/118.45
% 117.97/118.45 Resimplifying inuse:
% 117.97/118.45 Done
% 117.97/118.45
% 117.97/118.45
% 117.97/118.45 Intermediate Status:
% 117.97/118.45 Generated: 330728
% 117.97/118.45 Kept: 75233
% 117.97/118.45 Inuse: 1195
% 117.97/118.45 Deleted: 2115
% 117.97/118.45 Deletedinuse: 3
% 117.97/118.45
% 117.97/118.45 Resimplifying inuse:
% 117.97/118.45 Done
% 117.97/118.45
% 117.97/118.45
% 117.97/118.45 Intermediate Status:
% 117.97/118.45 Generated: 359232
% 117.97/118.45 Kept: 78682
% 117.97/118.45 Inuse: 1215
% 117.97/118.45 Deleted: 2115
% 117.97/118.45 Deletedinuse: 3
% 117.97/118.45
% 117.97/118.45 Resimplifying inuse:
% 117.97/118.45 Done
% 117.97/118.45
% 117.97/118.45 Resimplifying inuse:
% 117.97/118.45 Done
% 117.97/118.45
% 117.97/118.45
% 117.97/118.45 Intermediate Status:
% 117.97/118.45 Generated: 373198
% 117.97/118.45 Kept: 81134
% 117.97/118.45 Inuse: 1225
% 117.97/118.45 Deleted: 2115
% 117.97/118.45 Deletedinuse: 3
% 117.97/118.45
% 117.97/118.45 Resimplifying inuse:
% 117.97/118.45 Done
% 117.97/118.45
% 117.97/118.45 Resimplifying inuse:
% 117.97/118.45 Done
% 117.97/118.45
% 117.97/118.45 Resimplifying clauses:
% 117.97/118.45 Done
% 117.97/118.45
% 117.97/118.45
% 117.97/118.45 Intermediate Status:
% 117.97/118.45 Generated: 387226
% 117.97/118.45 Kept: 83796
% 117.97/118.45 Inuse: 1235
% 117.97/118.45 Deleted: 2577
% 117.97/118.45 Deletedinuse: 3
% 117.97/118.45
% 117.97/118.45 Resimplifying inuse:
% 117.97/118.45 Done
% 117.97/118.45
% 117.97/118.45 Resimplifying inuse:
% 117.97/118.45 Done
% 117.97/118.45
% 117.97/118.45
% 117.97/118.45 Intermediate Status:
% 117.97/118.45 Generated: 396537
% 117.97/118.45 Kept: 85991
% 117.97/118.45 Inuse: 1260
% 117.97/118.45 Deleted: 2577
% 117.97/118.45 Deletedinuse: 3
% 117.97/118.45
% 117.97/118.45 Resimplifying inuse:
% 117.97/118.45 Done
% 117.97/118.45
% 117.97/118.45 Resimplifying inuse:
% 117.97/118.45 Done
% 117.97/118.45
% 117.97/118.45
% 117.97/118.45 Intermediate Status:
% 117.97/118.45 Generated: 410828
% 117.97/118.45 Kept: 88334
% 117.97/118.45 Inuse: 1280
% 117.97/118.45 Deleted: 2577
% 117.97/118.45 Deletedinuse: 3
% 117.97/118.45
% 117.97/118.45 Resimplifying inuse:
% 117.97/118.45 Done
% 117.97/118.45
% 117.97/118.45
% 117.97/118.45 Intermediate Status:
% 117.97/118.45 Generated: 424435
% 117.97/118.45 Kept: 90944
% 117.97/118.45 Inuse: 1290
% 117.97/118.45 Deleted: 2577
% 117.97/118.45 Deletedinuse: 3
% 117.97/118.45
% 117.97/118.45 Resimplifying inuse:
% 117.97/118.45 Done
% 117.97/118.45
% 117.97/118.45
% 117.97/118.45 Intermediate Status:
% 117.97/118.45 Generated: 438393
% 117.97/118.45 Kept: 96869
% 117.97/118.45 Inuse: 1295
% 117.97/118.45 Deleted: 2577
% 117.97/118.45 Deletedinuse: 3
% 117.97/118.45
% 117.97/118.45 Resimplifying inuse:
% 117.97/118.45 Done
% 117.97/118.45
% 117.97/118.45
% 117.97/118.45 Intermediate Status:
% 117.97/118.45 Generated: 450372
% 117.97/118.45 Kept: 98984
% 117.97/118.45 Inuse: 1300
% 117.97/118.45 Deleted: 2577
% 117.97/118.45 Deletedinuse: 3
% 117.97/118.45
% 117.97/118.45 Resimplifying inuse:
% 117.97/118.45 Done
% 117.97/118.45
% 117.97/118.45 Resimplifying inuse:
% 117.97/118.45 Done
% 117.97/118.45
% 117.97/118.45
% 117.97/118.45 Intermediate Status:
% 117.97/118.45 Generated: 465564
% 117.97/118.45 Kept: 102108
% 117.97/118.45 Inuse: 1320
% 117.97/118.45 Deleted: 2577
% 117.97/118.45 Deletedinuse: 3
% 117.97/118.45
% 117.97/118.45 Resimplifying inuse:
% 117.97/118.45 Done
% 117.97/118.45
% 117.97/118.45 Resimplifying inuse:
% 117.97/118.45 Done
% 117.97/118.45
% 117.97/118.45 Resimplifying clauses:
% 117.97/118.45 Done
% 117.97/118.45
% 117.97/118.45
% 117.97/118.45 Intermediate Status:
% 117.97/118.45 Generated: 484216
% 117.97/118.45 Kept: 105745
% 117.97/118.45 Inuse: 1330
% 117.97/118.45 Deleted: 3109
% 117.97/118.45 Deletedinuse: 3
% 117.97/118.45
% 117.97/118.45 Resimplifying inuse:
% 117.97/118.45 Done
% 117.97/118.45
% 117.97/118.45 Resimplifying inuse:
% 117.97/118.45 Done
% 117.97/118.45
% 117.97/118.45
% 117.97/118.45 Intermediate Status:
% 117.97/118.45 Generated: 495809
% 117.97/118.45 Kept: 108599
% 117.97/118.45 Inuse: 1345
% 117.97/118.45 Deleted: 3109
% 117.97/118.45 Deletedinuse: 3
% 117.97/118.45
% 117.97/118.45 Resimplifying inuse:
% 117.97/118.45 Done
% 117.97/118.45
% 117.97/118.45 Resimplifying inuse:
% 117.97/118.45 Done
% 117.97/118.45
% 117.97/118.45
% 117.97/118.45 Intermediate Status:
% 117.97/118.45 Generated: 507302
% 117.97/118.45 Kept: 110665
% 117.97/118.45 Inuse: 1365
% 117.97/118.45 Deleted: 3109
% 117.97/118.45 Deletedinuse: 3
% 117.97/118.45
% 117.97/118.45 Resimplifying inuse:
% 117.97/118.45 Done
% 117.97/118.45
% 117.97/118.45
% 117.97/118.45 Intermediate Status:
% 117.97/118.45 Generated: 538696
% 117.97/118.45 Kept: 114594
% 117.97/118.45 Inuse: 1390
% 117.97/118.45 Deleted: 3109
% 117.97/118.45 Deletedinuse: 3
% 117.97/118.45
% 117.97/118.45 Resimplifying inuse:
% 117.97/118.45 Done
% 117.97/118.45
% 117.97/118.45
% 117.97/118.45 Intermediate Status:
% 117.97/118.45 Generated: 565315
% 117.97/118.45 Kept: 117558
% 117.97/118.45 Inuse: 1395
% 117.97/118.45 Deleted: 3109
% 117.97/118.45 Deletedinuse: 3
% 117.97/118.45
% 117.97/118.45 Resimplifying inuse:
% 117.97/118.45 Done
% 117.97/118.45
% 117.97/118.45 Resimplifying inuse:
% 117.97/118.45 Done
% 117.97/118.45
% 117.97/118.45
% 117.97/118.45 Intermediate Status:
% 117.97/118.45 Generated: 600842
% 117.97/118.45 Kept: 121728
% 117.97/118.45 Inuse: 1420
% 117.97/118.45 Deleted: 3109
% 117.97/118.45 Deletedinuse: 3
% 117.97/118.45
% 117.97/118.45 Resimplifying inuse:
% 117.97/118.45 Done
% 117.97/118.45
% 117.97/118.45
% 117.97/118.45 Intermediate Status:
% 117.97/118.45 Generated: 608409
% 117.97/118.45 Kept: 124410
% 117.97/118.45 Inuse: 1424
% 117.97/118.45 Deleted: 3109
% 117.97/118.45 Deletedinuse: 3
% 117.97/118.45
% 117.97/118.45 Resimplifying inuse:
% 117.97/118.45 Done
% 117.97/118.45
% 117.97/118.45 Resimplifying clauses:
% 117.97/118.45 Done
% 117.97/118.45
% 117.97/118.45
% 117.97/118.45 Intermediate Status:
% 117.97/118.45 Generated: 636590
% 117.97/118.45 Kept: 126694
% 117.97/118.45 Inuse: 1425
% 117.97/118.45 Deleted: 3424
% 117.97/118.45 Deletedinuse: 3
% 117.97/118.45
% 117.97/118.45 Resimplifying inuse:
% 117.97/118.45 Done
% 117.97/118.45
% 117.97/118.45 Resimplifying inuse:
% 117.97/118.45 Done
% 117.97/118.45
% 117.97/118.45
% 117.97/118.45 Intermediate Status:
% 117.97/118.45 Generated: 652831
% 117.97/118.45 Kept: 129803
% 117.97/118.45 Inuse: 1445
% 117.97/118.45 Deleted: 3424
% 117.97/118.45 Deletedinuse: 3
% 117.97/118.45
% 117.97/118.45 Resimplifying inuse:
% 117.97/118.45 Done
% 117.97/118.45
% 117.97/118.45 Resimplifying inuse:
% 242.30/242.71 Done
% 242.30/242.71
% 242.30/242.71
% 242.30/242.71 Intermediate Status:
% 242.30/242.71 Generated: 723237
% 242.30/242.71 Kept: 134081
% 242.30/242.71 Inuse: 1460
% 242.30/242.71 Deleted: 3424
% 242.30/242.71 Deletedinuse: 3
% 242.30/242.71
% 242.30/242.71 Resimplifying inuse:
% 242.30/242.71 Done
% 242.30/242.71
% 242.30/242.71 Resimplifying inuse:
% 242.30/242.71 Done
% 242.30/242.71
% 242.30/242.71
% 242.30/242.71 Intermediate Status:
% 242.30/242.71 Generated: 733809
% 242.30/242.71 Kept: 136424
% 242.30/242.71 Inuse: 1475
% 242.30/242.71 Deleted: 3424
% 242.30/242.71 Deletedinuse: 3
% 242.30/242.71
% 242.30/242.71
% 242.30/242.71 Intermediate Status:
% 242.30/242.71 Generated: 746197
% 242.30/242.71 Kept: 138461
% 242.30/242.71 Inuse: 1480
% 242.30/242.71 Deleted: 3424
% 242.30/242.71 Deletedinuse: 3
% 242.30/242.71
% 242.30/242.71 Resimplifying inuse:
% 242.30/242.71 Done
% 242.30/242.71
% 242.30/242.71
% 242.30/242.71 Intermediate Status:
% 242.30/242.71 Generated: 758705
% 242.30/242.71 Kept: 140516
% 242.30/242.71 Inuse: 1485
% 242.30/242.71 Deleted: 3424
% 242.30/242.71 Deletedinuse: 3
% 242.30/242.71
% 242.30/242.71 Resimplifying inuse:
% 242.30/242.71 Done
% 242.30/242.71
% 242.30/242.71
% 242.30/242.71 Intermediate Status:
% 242.30/242.71 Generated: 782655
% 242.30/242.71 Kept: 143025
% 242.30/242.71 Inuse: 1495
% 242.30/242.71 Deleted: 3424
% 242.30/242.71 Deletedinuse: 3
% 242.30/242.71
% 242.30/242.71 Resimplifying inuse:
% 242.30/242.71 Done
% 242.30/242.71
% 242.30/242.71
% 242.30/242.71 Intermediate Status:
% 242.30/242.71 Generated: 794435
% 242.30/242.71 Kept: 145052
% 242.30/242.71 Inuse: 1500
% 242.30/242.71 Deleted: 3424
% 242.30/242.71 Deletedinuse: 3
% 242.30/242.71
% 242.30/242.71 Resimplifying inuse:
% 242.30/242.71 Done
% 242.30/242.71
% 242.30/242.71 Resimplifying clauses:
% 242.30/242.71 Done
% 242.30/242.71
% 242.30/242.71 Resimplifying inuse:
% 242.30/242.71 Done
% 242.30/242.71
% 242.30/242.71
% 242.30/242.71 Intermediate Status:
% 242.30/242.71 Generated: 804125
% 242.30/242.71 Kept: 147070
% 242.30/242.71 Inuse: 1516
% 242.30/242.71 Deleted: 3655
% 242.30/242.71 Deletedinuse: 3
% 242.30/242.71
% 242.30/242.71 Resimplifying inuse:
% 242.30/242.71 Done
% 242.30/242.71
% 242.30/242.71
% 242.30/242.71 Intermediate Status:
% 242.30/242.71 Generated: 813549
% 242.30/242.71 Kept: 149165
% 242.30/242.71 Inuse: 1530
% 242.30/242.71 Deleted: 3655
% 242.30/242.71 Deletedinuse: 3
% 242.30/242.71
% 242.30/242.71 Resimplifying inuse:
% 242.30/242.71 Done
% 242.30/242.71
% 242.30/242.71 Resimplifying inuse:
% 242.30/242.71 Done
% 242.30/242.71
% 242.30/242.71
% 242.30/242.71 Intermediate Status:
% 242.30/242.71 Generated: 825476
% 242.30/242.71 Kept: 151165
% 242.30/242.71 Inuse: 1550
% 242.30/242.71 Deleted: 3655
% 242.30/242.71 Deletedinuse: 3
% 242.30/242.71
% 242.30/242.71 Resimplifying inuse:
% 242.30/242.71 Done
% 242.30/242.71
% 242.30/242.71 Resimplifying inuse:
% 242.30/242.71 Done
% 242.30/242.71
% 242.30/242.71
% 242.30/242.71 Intermediate Status:
% 242.30/242.71 Generated: 838355
% 242.30/242.71 Kept: 153421
% 242.30/242.71 Inuse: 1570
% 242.30/242.71 Deleted: 3655
% 242.30/242.71 Deletedinuse: 3
% 242.30/242.71
% 242.30/242.71 Resimplifying inuse:
% 242.30/242.71 Done
% 242.30/242.71
% 242.30/242.71 Resimplifying inuse:
% 242.30/242.71 Done
% 242.30/242.71
% 242.30/242.71
% 242.30/242.71 Intermediate Status:
% 242.30/242.71 Generated: 855060
% 242.30/242.71 Kept: 155849
% 242.30/242.71 Inuse: 1595
% 242.30/242.71 Deleted: 3655
% 242.30/242.71 Deletedinuse: 3
% 242.30/242.71
% 242.30/242.71 Resimplifying inuse:
% 242.30/242.71 Done
% 242.30/242.71
% 242.30/242.71 Resimplifying inuse:
% 242.30/242.71 Done
% 242.30/242.71
% 242.30/242.71
% 242.30/242.71 Intermediate Status:
% 242.30/242.71 Generated: 869404
% 242.30/242.71 Kept: 158212
% 242.30/242.71 Inuse: 1620
% 242.30/242.71 Deleted: 3655
% 242.30/242.71 Deletedinuse: 3
% 242.30/242.71
% 242.30/242.71 Resimplifying inuse:
% 242.30/242.71 Done
% 242.30/242.71
% 242.30/242.71 Resimplifying inuse:
% 242.30/242.71 Done
% 242.30/242.71
% 242.30/242.71
% 242.30/242.71 Intermediate Status:
% 242.30/242.71 Generated: 885768
% 242.30/242.71 Kept: 160263
% 242.30/242.71 Inuse: 1643
% 242.30/242.71 Deleted: 3659
% 242.30/242.71 Deletedinuse: 6
% 242.30/242.71
% 242.30/242.71 Resimplifying inuse:
% 242.30/242.71 Done
% 242.30/242.71
% 242.30/242.71 Resimplifying inuse:
% 242.30/242.71 Done
% 242.30/242.71
% 242.30/242.71
% 242.30/242.71 Intermediate Status:
% 242.30/242.71 Generated: 907457
% 242.30/242.71 Kept: 165047
% 242.30/242.71 Inuse: 1657
% 242.30/242.71 Deleted: 3662
% 242.30/242.71 Deletedinuse: 8
% 242.30/242.71
% 242.30/242.71 Resimplifying inuse:
% 242.30/242.71 Done
% 242.30/242.71
% 242.30/242.71 Resimplifying clauses:
% 242.30/242.71 Done
% 242.30/242.71
% 242.30/242.71 Resimplifying inuse:
% 242.30/242.71 Done
% 242.30/242.71
% 242.30/242.71
% 242.30/242.71 Intermediate Status:
% 242.30/242.71 Generated: 921182
% 242.30/242.71 Kept: 167342
% 242.30/242.71 Inuse: 1673
% 242.30/242.71 Deleted: 4450
% 242.30/242.71 Deletedinuse: 8
% 242.30/242.71
% 242.30/242.71 Resimplifying inuse:
% 242.30/242.71 Done
% 242.30/242.71
% 242.30/242.71 Resimplifying inuse:
% 242.30/242.71 Done
% 242.30/242.71
% 242.30/242.71
% 242.30/242.71 Intermediate Status:
% 242.30/242.71 Generated: 933989
% 242.30/242.71 Kept: 169484
% 242.30/242.71 Inuse: 1693
% 242.30/242.71 Deleted: 4450
% 242.30/242.71 Deletedinuse: 8
% 242.30/242.71
% 242.30/242.71 Resimplifying inuse:
% 242.30/242.71 Done
% 242.30/242.71
% 242.30/242.71 Resimplifying inuse:
% 242.30/242.71 Done
% 242.30/242.71
% 242.30/242.71
% 242.30/242.71 Intermediate Status:
% 242.30/242.71 Generated: 949611
% 242.30/242.71 Kept: 171871
% 242.30/242.71 Inuse: 1718
% 242.30/242.71 Deleted: 4450
% 242.30/242.71 Deletedinuse: 8
% 242.30/242.71
% 242.30/242.71 Resimplifying inuse:
% 242.30/242.71 Done
% 242.30/242.71
% 242.30/242.71 Resimplifying inuse:
% 242.30/242.71 Done
% 242.30/242.71
% 242.30/242.71
% 242.30/242.71 Intermediate Status:
% 242.30/242.71 Generated: 970442
% 242.30/242.71 Kept: 173892
% 242.30/242.71 Inuse: 1729
% 242.30/242.71 Deleted: 4450
% 242.30/242.71 Deletedinuse: 8
% 242.30/242.71
% 242.30/242.71 Resimplifying inuse:
% 242.30/242.71 Done
% 242.30/242.71
% 242.30/242.71
% 242.30/242.71 Intermediate Status:
% 242.30/242.71 Generated: 989261
% 242.30/242.71 Kept: 175914
% 242.30/242.71 Inuse: 1736
% 242.30/242.71 Deleted: 4450
% 242.30/242.71 Deletedinuse: 8
% 242.30/242.71
% 242.30/242.71 Resimplifying inuse:
% 242.30/242.71 Done
% 242.30/242.71
% 242.30/242.71
% 242.30/242.71 Intermediate Status:
% 242.30/242.71 Generated: 1023704
% 242.30/242.71 Kept: 179775
% 242.30/242.71 Inuse: 1743
% 242.30/242.71 Deleted: 4450
% 242.30/242.71 Deletedinuse: 8
% 242.30/242.71
% 242.30/242.71 Resimplifying inuse:
% 242.30/242.71 Done
% 242.30/242.71
% 242.30/242.71 Resimplifying inuse:
% 242.30/242.71 Done
% 242.30/242.71
% 242.30/242.71
% 242.30/242.71 Intermediate Status:
% 242.30/242.71 Generated: 1039908
% 242.30/242.71 Kept: 181971
% 242.30/242.71 Inuse: 1768
% 242.30/242.71 Deleted: 4450
% 242.30/242.71 Deletedinuse: 8
% 242.30/242.71
% 242.30/242.71 Resimplifying inuse:
% 242.30/242.71 Done
% 242.30/242.71
% 242.30/242.71 Resimplifying inuse:
% 242.30/242.71 Done
% 242.30/242.71
% 242.30/242.71
% 242.30/242.71 Intermediate Status:
% 242.30/242.71 Generated: 1052753
% 242.30/242.71 Kept: 183977
% 242.30/242.71 Inuse: 1787
% 242.30/242.71 Deleted: 4450
% 242.30/242.71 Deletedinuse: 8
% 242.30/242.71
% 242.30/242.71 Resimplifying inuse:
% 242.30/242.71 Done
% 242.30/242.71
% 242.30/242.71
% 242.30/242.71 Intermediate Status:
% 242.30/242.71 Generated: 1061981
% 242.30/242.71 Kept: 186063
% 242.30/242.71 Inuse: 1798
% 242.30/242.71 Deleted: 4450
% 242.30/242.71 Deletedinuse: 8
% 242.30/242.71
% 242.30/242.71 Resimplifying clauses:
% 242.30/242.71 Done
% 242.30/242.71
% 242.30/242.71 Resimplifying inuse:
% 242.30/242.71 Done
% 242.30/242.71
% 242.30/242.71 Resimplifying inuse:
% 242.30/242.71 Done
% 242.30/242.71
% 242.30/242.71
% 242.30/242.71 Intermediate Status:
% 242.30/242.71 Generated: 1085334
% 242.30/242.71 Kept: 189718
% 242.30/242.71 Inuse: 1818
% 242.30/242.71 Deleted: 5037
% 242.30/242.71 Deletedinuse: 8
% 242.30/242.71
% 242.30/242.71 Resimplifying inuse:
% 242.30/242.71 Done
% 242.30/242.71
% 242.30/242.71 Resimplifying inuse:
% 242.30/242.71 Done
% 242.30/242.71
% 242.30/242.71
% 242.30/242.71 Intermediate Status:
% 242.30/242.71 Generated: 1100298
% 242.30/242.71 Kept: 192220
% 242.30/242.71 Inuse: 1828
% 242.30/242.71 DeletCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------