TSTP Solution File: SWW223+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWW223+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.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 23:21:21 EDT 2022
% Result : Timeout 300.02s 300.48s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW223+1 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sun Jun 5 20:22:24 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.97/1.58 *** allocated 10000 integers for termspace/termends
% 0.97/1.58 *** allocated 10000 integers for clauses
% 0.97/1.58 *** allocated 10000 integers for justifications
% 0.97/1.58 *** allocated 15000 integers for termspace/termends
% 0.97/1.58 *** allocated 22500 integers for termspace/termends
% 0.97/1.58 *** allocated 33750 integers for termspace/termends
% 0.97/1.58 Bliksem 1.12
% 0.97/1.58
% 0.97/1.58
% 0.97/1.58 Automatic Strategy Selection
% 0.97/1.58
% 0.97/1.58 *** allocated 50625 integers for termspace/termends
% 0.97/1.58 *** allocated 75937 integers for termspace/termends
% 0.97/1.58 *** allocated 113905 integers for termspace/termends
% 0.97/1.58
% 0.97/1.58 Clauses:
% 0.97/1.58
% 0.97/1.58 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.97/1.58 ) ) ) ) = c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 0.97/1.58 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.97/1.58 ) ) ), Y ) = c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.58 , c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, T, Z )
% 0.97/1.58 ), Y ), c_Orderings_Oord__class_Oless( X, c_Groups_Ominus__class_Ominus
% 0.97/1.58 ( X, Z, Y ), T ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.58 , c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, T, Z )
% 0.97/1.58 ), Y ), c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus
% 0.97/1.58 ( X, Z, Y ) ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.58 , c_Groups_Ominus__class_Ominus( X, Z, Y ), T ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.97/1.58 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oabs__class_Oabs( X,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, T, Z ) ), Y ) }.
% 0.97/1.58 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ) ) = Y }
% 0.97/1.58 .
% 0.97/1.58 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ), Y ) = Y
% 0.97/1.58 }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, Z, Y ) ), c_Groups_Oplus__class_Oplus(
% 0.97/1.58 X, c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) )
% 0.97/1.58 ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, c_Groups_Oplus__class_Oplus( X, U, T )
% 0.97/1.58 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) ), c_Groups_Oplus__class_Oplus
% 0.97/1.58 ( X, c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, U, Z
% 0.97/1.58 ) ), c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, T,
% 0.97/1.58 Y ) ) ) ) }.
% 0.97/1.58 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U )
% 0.97/1.58 , T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 Z, U ), Y ) ), c_Orderings_Oord__class_Oless( X, T,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ) }.
% 0.97/1.58 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X, T
% 0.97/1.58 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.97/1.58 , Y ) ) }.
% 0.97/1.58 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U )
% 0.97/1.58 , T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 Z, U ), Y ) ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ) }.
% 0.97/1.58 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.97/1.58 , Y ) ) }.
% 0.97/1.58 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.58 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U
% 0.97/1.58 ), T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.97/1.58 , Z, U ), Y ) ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ) }.
% 0.97/1.58 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.58 , T, c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.97/1.58 , Y ) ) }.
% 0.97/1.58 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.58 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U
% 0.97/1.58 ), T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.97/1.58 , Z, U ), Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ) }.
% 0.97/1.58 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.58 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.97/1.58 , Y ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.97/1.58 c_Groups_Oabs__class_Oabs( X, Y ) ) ), c_Groups_Oabs__class_Oabs( X,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) ) }.
% 0.97/1.58 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, X, c_Int_OPls ) = X }.
% 0.97/1.58 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0
% 0.97/1.58 ( X ) ) = c_Int_OBit0( c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X )
% 0.97/1.58 ) }.
% 0.97/1.58 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Int_OPls ) = X }.
% 0.97/1.58 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OPls, X ) = X }.
% 0.97/1.58 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0(
% 0.97/1.58 X ) ) = c_Int_OBit0( c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }
% 0.97/1.58 .
% 0.97/1.58 { c_Int_OBit0( X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.97/1.58 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.97/1.58 .
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1
% 0.97/1.58 ( X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.97/1.58 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.97/1.58 .
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1
% 0.97/1.58 ( X ) ) }.
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Int_OPls, X ) = c_Int_OPls
% 0.97/1.58 }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OPls ) }
% 0.97/1.58 .
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Int_OBit0( Y ), X ) =
% 0.97/1.58 c_Int_OBit0( c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.97/1.58 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.97/1.58 .
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0
% 0.97/1.58 ( X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.97/1.58 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.97/1.58 .
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0
% 0.97/1.58 ( X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.97/1.58 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.97/1.58 ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.97/1.58 c_Int_OBit1( X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.97/1.58 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.97/1.58 ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.97/1.58 c_Int_OBit1( X ) ) }.
% 0.97/1.58 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OPls )
% 0.97/1.58 }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.97/1.58 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.97/1.58 ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.97/1.58 c_Int_OBit0( X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.97/1.58 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.97/1.58 ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.97/1.58 c_Int_OBit0( X ) ) }.
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Int_OBit1( Y ), X ) =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit0(
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ), X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( X ),
% 0.97/1.58 c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls )
% 0.97/1.58 }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( X ),
% 0.97/1.58 c_Int_OPls ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit1( X
% 0.97/1.58 ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit1( X )
% 0.97/1.58 ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.97/1.58 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.97/1.58 .
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.97/1.58 c_Int_OBit0( X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.97/1.58 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.97/1.58 .
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.97/1.58 c_Int_OBit0( X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.97/1.58 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.97/1.58 ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1
% 0.97/1.58 ( X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.97/1.58 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.97/1.58 ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1
% 0.97/1.58 ( X ) ) }.
% 0.97/1.58 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1
% 0.97/1.58 ( X ) ) = c_Int_OBit0( c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X )
% 0.97/1.58 ) }.
% 0.97/1.58 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0
% 0.97/1.58 ( X ) ) = c_Int_OBit1( c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X )
% 0.97/1.58 ) }.
% 0.97/1.58 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OPls, c_Int_OBit0( X )
% 0.97/1.58 ) = c_Int_OBit0( c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OPls
% 0.97/1.58 , X ) ) }.
% 0.97/1.58 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0(
% 0.97/1.58 X ) ) = c_Int_OBit1( c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }
% 0.97/1.58 .
% 0.97/1.58 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1(
% 0.97/1.58 X ) ) = c_Int_OBit1( c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }
% 0.97/1.58 .
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ),
% 0.97/1.58 c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls )
% 0.97/1.58 }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ), c_Int_OPls
% 0.97/1.58 ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.97/1.58 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.97/1.58 .
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0
% 0.97/1.58 ( X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.97/1.58 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.97/1.58 .
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0
% 0.97/1.58 ( X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ),
% 0.97/1.58 c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls )
% 0.97/1.58 }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ), c_Int_OPls
% 0.97/1.58 ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit0( X
% 0.97/1.58 ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit0( X )
% 0.97/1.58 ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit1
% 0.97/1.58 ( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X )
% 0.97/1.58 }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit1(
% 0.97/1.58 X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.97/1.58 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.97/1.58 ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.97/1.58 c_Int_OBit1( X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.97/1.58 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.97/1.58 ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.97/1.58 c_Int_OBit1( X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( X ),
% 0.97/1.58 c_Int_OPls ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X,
% 0.97/1.58 c_Int_OPls ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( X ),
% 0.97/1.58 c_Int_OPls ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit0
% 0.97/1.58 ( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X )
% 0.97/1.58 }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit0(
% 0.97/1.58 X ) ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__idom( X ), Z = Y,
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, Y, Z ) }.
% 0.97/1.58 { ! class_Groups_Oab__semigroup__mult( X ), c_Groups_Otimes__class_Otimes(
% 0.97/1.58 X, c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.97/1.58 , Y ) ) }.
% 0.97/1.58 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, Z, T ) = c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 Y, T ), Z = Y }.
% 0.97/1.58 { ! class_Groups_Ocancel__ab__semigroup__add( X ), !
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 T, Y ), Z = Y }.
% 0.97/1.58 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 T, Y ), Z = Y }.
% 0.97/1.58 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 Y, Z ), T = Y }.
% 0.97/1.58 { ! class_Groups_Ocancel__semigroup__add( X ), ! T = Y,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 Y, Z ) }.
% 0.97/1.58 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 T, Y ), Z = Y }.
% 0.97/1.58 { ! class_Groups_Ocancel__semigroup__add( X ), ! Z = Y,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 T, Y ) }.
% 0.97/1.58 { ! class_Groups_Oab__semigroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.97/1.58 ( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y ) ) }.
% 0.97/1.58 { ! class_Int_Onumber__ring( X ), ! class_Int_Oring__char__0( X ), !
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( X, Y ), Z = Y }.
% 0.97/1.58 { ! class_Int_Onumber__ring( X ), ! class_Int_Oring__char__0( X ), ! Z = Y
% 0.97/1.58 , c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.97/1.58 { ! class_Int_Onumber( X ), ! c_Int_Onumber__class_Onumber__of( X, Z ) = Y
% 0.97/1.58 , Y = c_Int_Onumber__class_Onumber__of( X, Z ) }.
% 0.97/1.58 { ! class_Int_Onumber( X ), ! Y = c_Int_Onumber__class_Onumber__of( X, Z )
% 0.97/1.58 , c_Int_Onumber__class_Onumber__of( X, Z ) = Y }.
% 0.97/1.58 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.97/1.58 U, T ) = c_Groups_Ominus__class_Ominus( X, Z, Y ), ! U = T, Z = Y }.
% 0.97/1.58 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.97/1.58 U, T ) = c_Groups_Ominus__class_Ominus( X, Z, Y ), ! Z = Y, U = T }.
% 0.97/1.58 { ! c_Int_OBit1( Y ) = c_Int_OBit1( X ), Y = X }.
% 0.97/1.58 { ! Y = X, c_Int_OBit1( Y ) = c_Int_OBit1( X ) }.
% 0.97/1.58 { ! c_Int_OBit0( Y ) = c_Int_OBit0( X ), Y = X }.
% 0.97/1.58 { ! Y = X, c_Int_OBit0( Y ) = c_Int_OBit0( X ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.97/1.58 c_Groups_Oabs__class_Oabs( X, c_Groups_Oabs__class_Oabs( X, Y ) ) =
% 0.97/1.58 c_Groups_Oabs__class_Oabs( X, Y ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.97/1.58 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.97/1.58 T ), c_Groups_Oplus__class_Oplus( X, Y, T ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.97/1.58 U ), c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.97/1.58 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.97/1.58 T ), c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.97/1.58 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.97/1.58 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.97/1.58 Z ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.97/1.58 Z ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.97/1.58 , c_Groups_Oplus__class_Oplus( X, T, Y ) ), c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, Z, Y ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Z, T )
% 0.97/1.58 , c_Groups_Oplus__class_Oplus( X, Y, T ) ), c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, Z, Y ) }.
% 0.97/1.58 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, U, T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, Z, U ), c_Groups_Oplus__class_Oplus( X, Y
% 0.97/1.58 , T ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.97/1.58 , T, Y ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Groups_Oplus__class_Oplus( X, Z, T ), c_Groups_Oplus__class_Oplus( X
% 0.97/1.58 , Y, T ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.97/1.58 , c_Groups_Oplus__class_Oplus( X, T, Y ) ), c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, Z, Y ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.97/1.58 , T, Y ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.97/1.58 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ), c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, T, Y ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, T, Y ), c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.97/1.58 , Y, Z ) ) }.
% 0.97/1.58 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.58 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z, Y ) }.
% 0.97/1.58 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z, Y ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.58 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.97/1.58 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.97/1.58 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, U, T ) }.
% 0.97/1.58 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.97/1.58 ), c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, Y ) }.
% 0.97/1.58 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, Y ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.97/1.58 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.58 { ! class_Rings_Osemiring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Oplus__class_Oplus( X
% 0.97/1.58 , c_Groups_Otimes__class_Otimes( X, Z, T ), Y ) ) =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, U, Z ), T ), Y ) }.
% 0.97/1.58 { ! class_Rings_Ocomm__semiring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.97/1.58 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.97/1.58 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, U, T ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.97/1.58 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, Z, Y ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, U, T ) }.
% 0.97/1.58 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Otimes__class_Otimes(
% 0.97/1.58 X, c_Int_Onumber__class_Onumber__of( X, Z ), Y ) ) =
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Int_Oint, T, Z ) ), Y ) }.
% 0.97/1.58 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( X, Z ),
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( X, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Int_Oint, Z, Y ) ) }.
% 0.97/1.58 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ) ) =
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.97/1.58 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.58 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Oplus__class_Oplus( X
% 0.97/1.58 , c_Int_Onumber__class_Onumber__of( X, Z ), Y ) ) =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Int_Oint, T, Z ) ), Y ) }.
% 0.97/1.58 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( X, Z ),
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.97/1.58 tc_Int_Oint, Z, Y ) ) }.
% 0.97/1.58 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, Y ) ) =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X, Z )
% 0.97/1.58 , c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.58 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, Z, Y ), Y ) = Z }.
% 0.97/1.58 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, Z, Y ), Y ) = Z }.
% 0.97/1.58 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Z, Y ) ) =
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.97/1.58 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.97/1.58 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Oabs__class_Oabs( X, Y
% 0.97/1.58 ) ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__idom( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Groups_Oabs__class_Oabs( X, Y ), c_Groups_Oabs__class_Oabs( X, Y ) ) =
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Y, Y ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__idom( X ), c_Groups_Oabs__class_Oabs( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.97/1.58 c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.97/1.58 { ! c_Int_OBit1( X ) = c_Int_OPls }.
% 0.97/1.58 { ! c_Int_OPls = c_Int_OBit1( X ) }.
% 0.97/1.58 { ! c_Int_OBit1( Y ) = c_Int_OBit0( X ) }.
% 0.97/1.58 { ! c_Int_OBit0( Y ) = c_Int_OBit1( X ) }.
% 0.97/1.58 { ! c_Int_OBit0( X ) = c_Int_OPls, X = c_Int_OPls }.
% 0.97/1.58 { ! X = c_Int_OPls, c_Int_OBit0( X ) = c_Int_OPls }.
% 0.97/1.58 { ! c_Int_OPls = c_Int_OBit0( X ), c_Int_OPls = X }.
% 0.97/1.58 { ! c_Int_OPls = X, c_Int_OPls = c_Int_OBit0( X ) }.
% 0.97/1.58 { c_Int_OBit0( c_Int_OPls ) = c_Int_OPls }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.97/1.58 c_Groups_Oabs__class_Oabs( X, c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ) )
% 0.97/1.58 = c_Groups_Oplus__class_Oplus( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.97/1.58 c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.97/1.58 c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Z, Y ) )
% 0.97/1.58 = c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Y, Z )
% 0.97/1.58 ) }.
% 0.97/1.58 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, U, T ), c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Groups_Oplus__class_Oplus( X, Z, U ), c_Groups_Oplus__class_Oplus( X
% 0.97/1.58 , Y, T ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Z, U )
% 0.97/1.58 , c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.97/1.58 { ! class_Int_Onumber( X ), ! class_Orderings_Olinorder( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.58 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.58 ), c_Int_Onumber__class_Onumber__of( X, Z ) ) }.
% 0.97/1.58 { ! class_Int_Onumber( X ), ! class_Orderings_Olinorder( X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.58 ), c_Int_Onumber__class_Onumber__of( X, Z ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.58 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.58 { ! class_Int_Onumber( X ), ! class_Rings_Osemiring( X ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.97/1.58 , c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Groups_Otimes__class_Otimes
% 0.97/1.58 ( X, Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.97/1.58 { ! class_Int_Onumber( X ), ! class_Rings_Osemiring( X ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.97/1.58 ), c_Groups_Oplus__class_Oplus( X, Z, Y ) ) =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( X, T ), Z ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.97/1.58 ), Y ) ) }.
% 0.97/1.58 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.97/1.58 , Y ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ) = Y }.
% 0.97/1.58 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, W, Z
% 0.97/1.58 ), U ), T ) = Y, c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.97/1.58 , Y ) }.
% 0.97/1.58 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.97/1.58 , Y ), T = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes
% 0.97/1.58 ( X, c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) }.
% 0.97/1.58 { ! class_Rings_Oring( X ), ! T = c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, Z, W
% 0.97/1.58 ), U ), Y ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.97/1.58 , Y ) }.
% 0.97/1.58 { ! class_Int_Onumber( X ), ! class_Rings_Oring( X ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, T, Z
% 0.97/1.58 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Groups_Otimes__class_Otimes
% 0.97/1.58 ( X, Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.97/1.58 { ! class_Int_Onumber( X ), ! class_Rings_Oring( X ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.97/1.58 ), c_Groups_Ominus__class_Ominus( X, Z, Y ) ) =
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( X, T ), Z ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.97/1.58 ), Y ) ) }.
% 0.97/1.58 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Ominus__class_Ominus(
% 0.97/1.58 X, c_Int_Onumber__class_Onumber__of( X, Z ), Y ) ) =
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Int_Oint, T, Z ) ), Y ) }.
% 0.97/1.58 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ), Y ) = Y }.
% 0.97/1.58 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X, Y,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ) ) = Y }.
% 0.97/1.58 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.58 , c_Groups_Oabs__class_Oabs( X, Z ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, c_Groups_Oabs__class_Oabs( X, U ), T ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, U ) ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, Z, Y ) ), c_Groups_Oplus__class_Oplus( X
% 0.97/1.58 , c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) )
% 0.97/1.58 ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X,
% 0.97/1.58 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ),
% 0.97/1.58 c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Y, Z ) )
% 0.97/1.58 ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X,
% 0.97/1.58 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ),
% 0.97/1.58 c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Z, Y ) )
% 0.97/1.58 ) }.
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.58 c_Int_OPls ) ) ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, X )
% 0.97/1.58 }.
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.58 c_Int_OPls ) ) ) ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, X ) }.
% 0.97/1.58 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, U, T
% 0.97/1.58 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, U, Z
% 0.97/1.58 ), c_Groups_Ominus__class_Ominus( X, T, Y ) ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, U, Z
% 0.97/1.58 ), Y ) ), c_Groups_Otimes__class_Otimes( X, Z,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, T, Y ) ) ) }.
% 0.97/1.58 { ! class_Rings_Oring( X ), c_Groups_Ominus__class_Ominus( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.97/1.58 X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, U, c_Groups_Ominus__class_Ominus( X, T
% 0.97/1.58 , Y ) ), c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus
% 0.97/1.58 ( X, U, Z ), Y ) ) }.
% 0.97/1.58 { ! class_Orderings_Opreorder( X ), c_Orderings_Oord__class_Oless__eq( X, Y
% 0.97/1.58 , Y ) }.
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, Y ), X ) =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, Y ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), Y = X }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.97/1.58 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), ! Y = X }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), Y = X,
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ) }.
% 0.97/1.58 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.97/1.58 , Y ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Ominus__class_Ominus(
% 0.97/1.58 X, U, Z ), c_Groups_Ominus__class_Ominus( X, T, Y ) ) }.
% 0.97/1.58 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, T, Z
% 0.97/1.58 ), Y ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.97/1.58 ( X, T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.97/1.58 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, T, Z
% 0.97/1.58 ), Y ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.97/1.58 ( X, T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.97/1.58 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, X ) }.
% 0.97/1.58 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Y ) }.
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) =
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y ) }.
% 0.97/1.58 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Y ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), ! Y = X }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), Y = X,
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.97/1.58 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), Y = X,
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Y ) }.
% 0.97/1.58 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, c_Groups_Oplus__class_Oplus
% 0.97/1.58 ( tc_Int_Oint, Y, X ) ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, X ) ) }.
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Int_Oint, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ) )
% 0.97/1.58 }.
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ) ) =
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Groups_Otimes__class_Otimes
% 0.97/1.58 ( tc_Int_Oint, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X )
% 0.97/1.58 ) }.
% 0.97/1.58 { c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) =
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_Int_Oint,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) =
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) }.
% 0.97/1.58 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.97/1.58 tc_Int_Oint, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Otimes__class_Otimes
% 0.97/1.58 ( tc_Int_Oint, Z, Y ), X ) = c_Groups_Otimes__class_Otimes( tc_Int_Oint,
% 0.97/1.58 Z, c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.97/1.58 tc_Int_Oint, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Ominus__class_Ominus
% 0.97/1.58 ( tc_Int_Oint, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Int_Oint,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.97/1.58 tc_Int_Oint, Y, Z ), c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Z ) ) }
% 0.97/1.58 .
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, Y ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Z ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, Z ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Y ), Y = X }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, T, Z ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.97/1.58 tc_Int_Oint, Y, T ), c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Z ) ) }
% 0.97/1.58 .
% 0.97/1.58 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.97/1.58 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.97/1.58 hAPP( Y, U ) ) }.
% 0.97/1.58 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, hAPP
% 0.97/1.58 ( Z, skol1( X, Y, Z ) ), hAPP( Y, skol1( X, Y, Z ) ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ) }.
% 0.97/1.58 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.97/1.58 , Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.97/1.58 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.97/1.58 ( X, Z, Y ) }.
% 0.97/1.58 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.97/1.58 ( X, Y, Z ) }.
% 0.97/1.58 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.97/1.58 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Z = Y }.
% 0.97/1.58 { ! class_Orderings_Opreorder( X ), ! Z = Y,
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.97/1.58 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.97/1.58 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.97/1.58 hAPP( Y, U ) ) }.
% 0.97/1.58 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.97/1.58 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Y = Z }.
% 0.97/1.58 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.97/1.58 , Y ), ! Y = Z, c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.97/1.58 { ! class_Orderings_Oord( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.97/1.58 ( X, Y, T ), c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.97/1.58 { ! class_Orderings_Oorder( X ), ! Z = Y, !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.97/1.58 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y
% 0.97/1.58 ), ! Y = T, c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.97/1.58 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.97/1.58 , Y ), ! Z = T, c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.97/1.58 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.97/1.58 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Z = Y }.
% 0.97/1.58 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.58 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, T ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.97/1.58 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.97/1.58 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Y = Z }.
% 0.97/1.58 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.97/1.58 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.97/1.58 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.97/1.58 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.97/1.58 hAPP( Y, U ) ) }.
% 0.97/1.58 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.97/1.58 , Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.97/1.58 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.97/1.58 Y ) }.
% 0.97/1.58 { ! class_Orderings_Olinorder( X ), Z = Y, c_Orderings_Oord__class_Oless( X
% 0.97/1.58 , Z, Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.97/1.58 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.58 Y ), ! Z = Y }.
% 0.97/1.58 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.97/1.58 Z ), ! Z = Y }.
% 0.97/1.58 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.97/1.58 ), c_Orderings_Oord__class_Oless( X, Y, Z ), Z = Y }.
% 0.97/1.58 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.97/1.58 Z ), ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.97/1.58 { ! class_Orderings_Olinorder( X ), ! Z = Y, !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.97/1.58 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.97/1.58 ), Z = Y, c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.97/1.58 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.97/1.58 ), c_Orderings_Oord__class_Oless( X, Y, Z ), Y = Z }.
% 0.97/1.58 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.97/1.58 ), ! Y = Z, ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.97/1.58 { ! class_Orderings_Olinorder( X ), Z = Y, c_Orderings_Oord__class_Oless( X
% 0.97/1.58 , Z, Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.97/1.58 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.97/1.58 , ! Z = Y }.
% 0.97/1.58 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.58 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.97/1.58 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.58 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.97/1.58 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.97/1.58 , ! Z = Y }.
% 0.97/1.58 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.97/1.58 , ! Y = Z }.
% 0.97/1.58 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.58 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.97/1.58 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.97/1.58 , ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.97/1.58 { ! class_Orderings_Oord( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless( X
% 0.97/1.58 , Y, T ), c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.97/1.58 { ! class_Orderings_Oorder( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, T, Y ), c_Orderings_Oord__class_Oless( X, T, Z ) }.
% 0.97/1.58 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y ),
% 0.97/1.58 ! Y = T, c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.97/1.58 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.97/1.58 , ! Z = T, c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.97/1.58 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.58 Y ), ! c_Orderings_Oord__class_Oless( X, Y, T ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.97/1.58 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.97/1.58 , ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.97/1.58 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.58 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.97/1.58 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.97/1.58 ), Z = Y, c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.97/1.58 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, X ) }.
% 0.97/1.58 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Y ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Z ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, Z ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Y ), Y = X }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ), alpha1( X, Y ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.97/1.58 { ! alpha1( X, Y ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.97/1.58 { ! alpha1( X, Y ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.97/1.58 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), alpha1( X, Y ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ), alpha1( X
% 0.97/1.58 , Y ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) }.
% 0.97/1.58 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) }.
% 0.97/1.58 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) =
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) }.
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, Y ), X ) =
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.97/1.58 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.97/1.58 ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.97/1.58 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.58 , Y, Z ), ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.97/1.58 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.97/1.58 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.97/1.58 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.97/1.58 Z ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.97/1.58 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.97/1.58 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.97/1.58 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.97/1.58 , c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.97/1.58 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.97/1.58 , ! Z = Y }.
% 0.97/1.58 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.97/1.58 , Y ), Z = Y, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.97/1.58 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.58 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.97/1.58 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.58 Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.97/1.58 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.58 , Z, Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.97/1.58 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.97/1.58 , Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.97/1.58 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.97/1.58 , c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.97/1.58 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.97/1.58 ( X, Z, Y ) }.
% 0.97/1.58 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.97/1.58 ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.97/1.58 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.97/1.58 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.97/1.58 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.97/1.58 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ), Z = Y }.
% 0.97/1.58 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.97/1.58 ), ! Z = Y, c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.97/1.58 { ! class_Orderings_Oorder( X ), Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.97/1.58 ( X, Z, Y ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.97/1.58 { ! class_Orderings_Oorder( X ), Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.97/1.58 ( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.97/1.58 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.58 , Z, Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.97/1.58 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.58 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.97/1.58 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.58 , Z, Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.97/1.58 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.58 , Z, Y ), ! Z = Y, ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.97/1.58 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.97/1.58 , Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.97/1.58 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.97/1.58 , Y ), Z = Y, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.97/1.58 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.97/1.58 , Y ), Y = Z, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.97/1.58 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.58 Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, T ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.97/1.58 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.97/1.58 , ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.97/1.58 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.58 , Z, Y ), ! c_Orderings_Oord__class_Oless( X, Y, T ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.97/1.58 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.97/1.58 , Y ), ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.97/1.58 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.97/1.58 ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.97/1.58 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.97/1.58 ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.97/1.58 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.97/1.58 , Y ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.97/1.58 , T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.97/1.58 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.97/1.58 , Y ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.97/1.58 , T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.97/1.58 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Ominus__class_Ominus( X, Z
% 0.97/1.58 , Y ) ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.97/1.58 ( X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.97/1.58 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Ominus__class_Ominus( X, Z
% 0.97/1.58 , Y ) ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.97/1.58 ( X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.97/1.58 { ! class_Int_Onumber__ring( X ), c_Power_Opower__class_Opower( X,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, Z, Y ),
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.58 c_Int_OPls ) ) ) ) = c_Groups_Ominus__class_Ominus( X,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.58 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.58 c_Int_OPls ) ) ) ) ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.58 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ), Z ), Y ) ) }.
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) )
% 0.97/1.58 }.
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.58 tc_Nat_Onat, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.58 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, T, Z ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, Z ), X ) ) =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, T, Y ), Z ), X ) }
% 0.97/1.58 .
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, Y, U ), T ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ), T =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 0.97/1.58 }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), ! T =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 0.97/1.58 , c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 0.97/1.58 ( tc_Nat_Onat, Y, U ), T ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.58 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), T ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, X, U ), Z ) ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.97/1.58 T, c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.97/1.58 ( tc_Nat_Onat, X, Y ), U ), Z ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.58 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), T ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, X, U ), Z ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, T
% 0.97/1.58 , c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 0.97/1.58 ( tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z
% 0.97/1.58 ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 0.97/1.58 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, Y, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, Y, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 0.97/1.58 ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 0.97/1.58 ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, Y, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, X, U ), T ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), Z ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.97/1.58 = Z }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.97/1.58 = Z, c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), T ) =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, Y, U ), Z ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, X ) }.
% 0.97/1.58 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, X ) }.
% 0.97/1.58 { c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) = X }.
% 0.97/1.58 { Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ), ! Y = X }.
% 0.97/1.58 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ), Y ) }.
% 0.97/1.58 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Y ) }.
% 0.97/1.58 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( tc_fun( T,
% 0.97/1.58 X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ) }
% 0.97/1.58 .
% 0.97/1.58 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( tc_fun( T,
% 0.97/1.58 X ), Z, Y ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Y, Z )
% 0.97/1.58 }.
% 0.97/1.58 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.97/1.58 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Y, Z
% 0.97/1.58 ), c_Orderings_Oord__class_Oless( tc_fun( T, X ), Z, Y ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = X,
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), Y = X }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.97/1.58 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ), Y ) }.
% 0.97/1.58 { Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! X = Y }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.97/1.58 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.97/1.58 ( tc_Nat_Onat, Y, Z ), X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ),
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, Z ),
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) = Y }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = X,
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Y ), Y = X }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.97/1.58 ( tc_Nat_Onat, Y, Z ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z )
% 0.97/1.58 ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.97/1.58 ( tc_Nat_Onat, Z, X ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.97/1.58 ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X = Z }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), ! X = Z,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ),
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.97/1.58 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.97/1.58 ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.97/1.58 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.97/1.58 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.97/1.58 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.97/1.58 ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ),
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ),
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58 { alpha96( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z ),
% 0.97/1.58 hBOOL( hAPP( hAPP( X, Y ), Z ) ) }.
% 0.97/1.58 { alpha96( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP
% 0.97/1.58 ( X, Y ), Z ) ) }.
% 0.97/1.58 { ! alpha96( X, Y, Z ), alpha99( X, Y, Z ), Z = Y }.
% 0.97/1.58 { ! alpha96( X, Y, Z ), alpha99( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z
% 0.97/1.58 ) ) }.
% 0.97/1.58 { ! alpha99( X, Y, Z ), alpha96( X, Y, Z ) }.
% 0.97/1.58 { ! Z = Y, hBOOL( hAPP( hAPP( X, Y ), Z ) ), alpha96( X, Y, Z ) }.
% 0.97/1.58 { ! alpha99( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y )
% 0.97/1.58 }.
% 0.97/1.58 { ! alpha99( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ), hBOOL( hAPP( hAPP(
% 0.97/1.58 X, Y ), Z ) ), alpha99( X, Y, Z ) }.
% 0.97/1.58 { c_Power_Opower__class_Opower( tc_Int_Oint, c_Power_Opower__class_Opower(
% 0.97/1.58 tc_Int_Oint, Z, Y ), X ) = c_Power_Opower__class_Opower( tc_Int_Oint, Z,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.58 { c_Power_Opower__class_Opower( tc_Int_Oint, Z, c_Groups_Oplus__class_Oplus
% 0.97/1.58 ( tc_Nat_Onat, Y, X ) ) = c_Groups_Otimes__class_Otimes( tc_Int_Oint,
% 0.97/1.58 c_Power_Opower__class_Opower( tc_Int_Oint, Z, Y ),
% 0.97/1.58 c_Power_Opower__class_Opower( tc_Int_Oint, Z, X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ), X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.97/1.58 ( tc_Nat_Onat, Y, Z ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y
% 0.97/1.58 , X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, T, X ) =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, T ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.58 tc_Nat_Onat, Y, T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }
% 0.97/1.58 .
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.58 tc_Nat_Onat, X, Z ), Y ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), Z ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.97/1.58 tc_Nat_Onat, X, Y ), Z ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ), Y ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.58 tc_Nat_Onat, Z, X ), Y ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) = Z, X =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), ! X =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) = Z }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.97/1.58 tc_Nat_Onat, X, Y ), Y ) = X }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.58 tc_Nat_Onat, Z, X ), Y ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) = X }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.58 tc_Nat_Onat, Y, Z ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }
% 0.97/1.58 .
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.58 tc_Nat_Onat, X, Z ), Y ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.97/1.58 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) = Y }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.97/1.58 ( tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) )
% 0.97/1.58 , c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.58 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }
% 0.97/1.58 .
% 0.97/1.58 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.58 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) =
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ) }.
% 0.97/1.58 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.58 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) =
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ), Z = X }.
% 0.97/1.58 { ! Z = X, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) }.
% 0.97/1.58 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ), Y = X }.
% 0.97/1.58 { ! Y = X, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X ) }.
% 0.97/1.58 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.97/1.58 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.97/1.58 Z, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.58 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.58 tc_Nat_Onat, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.58 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.59 tc_Nat_Onat, Y, X ), Y ) = X }.
% 0.97/1.59 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.59 tc_Nat_Onat, Y, X ), X ) = Y }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z,
% 0.97/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.59 tc_Nat_Onat, Z, X ), Y ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.97/1.59 ( tc_Nat_Onat, Z, X ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z
% 0.97/1.59 , c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.59 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, c_Groups_Oplus__class_Oplus
% 0.97/1.59 ( tc_Nat_Onat, Y, X ) ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z,
% 0.97/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 0.97/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.59 tc_Nat_Onat, Z, Y ), X ) }.
% 0.97/1.59 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), X =
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol2( X, Y ) ) }.
% 0.97/1.59 { ! X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.97/1.59 ( tc_Nat_Onat, Y, X ), X ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.97/1.59 ( tc_Nat_Onat, Y, X ), Y ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, T ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, Z ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ) ) }.
% 0.97/1.59 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.97/1.59 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.59 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 0.97/1.59 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.97/1.59 Z, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.59 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z,
% 0.97/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) =
% 0.97/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 0.97/1.59 ( tc_Nat_Onat, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X )
% 0.97/1.59 ) }.
% 0.97/1.59 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, X ) ) ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, X ) ) }.
% 0.97/1.59 { ! class_Groups_Omonoid__mult( X ), c_Power_Opower__class_Opower( X, Y,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, Y, Y ), Y ) }.
% 0.97/1.59 { ! class_Groups_Omonoid__mult( X ), c_Power_Opower__class_Opower( X, Y,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) = c_Groups_Otimes__class_Otimes( X, Y, Y ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__idom( X ), c_Power_Opower__class_Opower( X,
% 0.97/1.59 c_Groups_Oabs__class_Oabs( X, Y ), c_Int_Onumber__class_Onumber__of(
% 0.97/1.59 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) =
% 0.97/1.59 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.97/1.59 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__idom( X ), c_Groups_Oabs__class_Oabs( X,
% 0.97/1.59 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.97/1.59 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) =
% 0.97/1.59 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.97/1.59 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.97/1.59 { ! class_Groups_Omonoid__mult( X ), c_Power_Opower__class_Opower( X, Z,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ), Y ) ) = c_Power_Opower__class_Opower( X,
% 0.97/1.59 c_Power_Opower__class_Opower( X, Z, Y ), c_Int_Onumber__class_Onumber__of
% 0.97/1.59 ( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.97/1.59 { ! class_Groups_Omonoid__mult( X ), ! class_Int_Onumber( X ),
% 0.97/1.59 c_Power_Opower__class_Opower( X, c_Int_Onumber__class_Onumber__of( X, Y )
% 0.97/1.59 , c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1
% 0.97/1.59 ( c_Int_OPls ) ) ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, Y ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.59 { ! class_Int_Onumber__ring( X ), c_Power_Opower__class_Opower( X,
% 0.97/1.59 c_Groups_Oplus__class_Oplus( X, Z, Y ), c_Int_Onumber__class_Onumber__of
% 0.97/1.59 ( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) =
% 0.97/1.59 c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X,
% 0.97/1.59 c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.97/1.59 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.97/1.59 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.97/1.59 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.97/1.59 ) ) ), Z ), Y ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.59 tc_Nat_Onat, X, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), Z ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.59 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.97/1.59 , Z ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.59 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.97/1.59 , Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.59 tc_Nat_Onat, X, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), Z ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.59 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), T ),
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.59 tc_Nat_Onat, Y, U ), Z ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.59 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.97/1.59 , Z ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.59 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.97/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T ), Z ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.59 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), T ),
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.59 tc_Nat_Onat, Y, U ), Z ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.59 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), T ),
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.59 tc_Nat_Onat, Y, U ), Z ) ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.59 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.97/1.59 , Z ) }.
% 0.97/1.59 { c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) = c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.59 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) ), c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.59 c_Int_OBit1( c_Int_OPls ) ) ), Y ), X ) ) }.
% 0.97/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Power_Opower__class_Opower( X, Z
% 0.97/1.59 , c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ), Y ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.97/1.59 c_Power_Opower__class_Opower( X, Z, Y ), c_Power_Opower__class_Opower( X
% 0.97/1.59 , Z, Y ) ) }.
% 0.97/1.59 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.59 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.97/1.59 c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) ) = c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.59 c_Int_OBit1( c_Int_OPls ) ) ), X ), c_Int_Onumber__class_Onumber__of(
% 0.97/1.59 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.97/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.59 Y, Y ) = c_Power_Opower__class_Opower( X, Y,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) }.
% 0.97/1.59 { c_Power_Opower__class_Opower( tc_Complex_Ocomplex,
% 0.97/1.59 c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt( X ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) = X }.
% 0.97/1.59 { ! class_Groups_Omonoid__mult( X ), c_Power_Opower__class_Opower( X, T,
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) ) =
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, c_Power_Opower__class_Opower( X, T, Z )
% 0.97/1.59 , c_Power_Opower__class_Opower( X, T, Y ) ) }.
% 0.97/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.59 c_Power_Opower__class_Opower( X, T, Z ), c_Power_Opower__class_Opower( X
% 0.97/1.59 , T, Y ) ) = c_Power_Opower__class_Opower( X, T,
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) ) }.
% 0.97/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.59 Z, Y ) = c_Groups_Otimes__class_Otimes( X, Y, Z ) }.
% 0.97/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.59 T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Otimes__class_Otimes( X, T
% 0.97/1.59 , Y ) ) }.
% 0.97/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.59 T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.97/1.59 ), Y ) }.
% 0.97/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.97/1.59 , Y ) ) }.
% 0.97/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, T, Y
% 0.97/1.59 ), Z ) }.
% 0.97/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.97/1.59 X, Z, Y ) ) = c_Groups_Otimes__class_Otimes( X, U,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.97/1.59 , Y ) ) ) }.
% 0.97/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.97/1.59 X, Z, Y ) ) = c_Groups_Otimes__class_Otimes( X, Z,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, U, T
% 0.97/1.59 ), Y ) ) }.
% 0.97/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.97/1.59 X, Z, Y ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.97/1.59 X, T, Y ) ) }.
% 0.97/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Z
% 0.97/1.59 , Y ) = c_Groups_Oplus__class_Oplus( X, Y, Z ) }.
% 0.97/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, T
% 0.97/1.59 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.97/1.59 ( X, Z, c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.97/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, T
% 0.97/1.59 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.97/1.59 ( X, c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) }.
% 0.97/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.59 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.97/1.59 ( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y ) ) }.
% 0.97/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.59 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.97/1.59 ( X, c_Groups_Oplus__class_Oplus( X, T, Y ), Z ) }.
% 0.97/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.59 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.97/1.59 , Y ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X
% 0.97/1.59 , U, Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.97/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.59 T, c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.97/1.59 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.97/1.59 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.97/1.59 ( X ), U = T, Z = Y, ! c_Groups_Oplus__class_Oplus( X,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.97/1.59 X, T, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, U, Y ), c_Groups_Otimes__class_Otimes(
% 0.97/1.59 X, T, Z ) ) }.
% 0.97/1.59 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.97/1.59 ( X ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.59 U, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) =
% 0.97/1.59 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Y )
% 0.97/1.59 , c_Groups_Otimes__class_Otimes( X, T, Z ) ), ! U = T }.
% 0.97/1.59 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.97/1.59 ( X ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.59 U, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) =
% 0.97/1.59 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Y )
% 0.97/1.59 , c_Groups_Otimes__class_Otimes( X, T, Z ) ), ! Z = Y }.
% 0.97/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.59 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.97/1.59 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.97/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Groups_Otimes__class_Otimes(
% 0.97/1.59 X, Y, Z ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.97/1.59 c_Groups_Oplus__class_Oplus( X, T, Y ), Z ) }.
% 0.97/1.59 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.97/1.59 ( X ), ! c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.97/1.59 , U, T ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.97/1.59 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Y )
% 0.97/1.59 , c_Groups_Otimes__class_Otimes( X, Z, T ) ), U = Z, T = Y }.
% 0.97/1.59 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.97/1.59 ( X ), ! U = Z, c_Groups_Oplus__class_Oplus( X,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.97/1.59 X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, U, Y ), c_Groups_Otimes__class_Otimes(
% 0.97/1.59 X, Z, T ) ) }.
% 0.97/1.59 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.97/1.59 ( X ), ! T = Y, c_Groups_Oplus__class_Oplus( X,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.97/1.59 X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, U, Y ), c_Groups_Otimes__class_Otimes(
% 0.97/1.59 X, Z, T ) ) }.
% 0.97/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Power_Opower__class_Opower( X,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, c_Power_Opower__class_Opower( X, T, Y )
% 0.97/1.59 , c_Power_Opower__class_Opower( X, Z, Y ) ) }.
% 0.97/1.59 { ! class_Groups_Ocomm__monoid__mult( X ), c_Power_Opower__class_Opower( X
% 0.97/1.59 , c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, c_Power_Opower__class_Opower( X, T, Y )
% 0.97/1.59 , c_Power_Opower__class_Opower( X, Z, Y ) ) }.
% 0.97/1.59 { ! class_Groups_Omonoid__mult( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.59 c_Power_Opower__class_Opower( X, Z, Y ), Z ) =
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, Z, c_Power_Opower__class_Opower( X, Z,
% 0.97/1.59 Y ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__idom( X ), c_Groups_Oabs__class_Oabs( X,
% 0.97/1.59 c_Power_Opower__class_Opower( X, Z, Y ) ) = c_Power_Opower__class_Opower
% 0.97/1.59 ( X, c_Groups_Oabs__class_Oabs( X, Z ), Y ) }.
% 0.97/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Power_Opower__class_Opower( X,
% 0.97/1.59 c_Power_Opower__class_Opower( X, T, Z ), Y ) =
% 0.97/1.59 c_Power_Opower__class_Opower( X, T, c_Groups_Otimes__class_Otimes(
% 0.97/1.59 tc_Nat_Onat, Z, Y ) ) }.
% 0.97/1.59 { ! class_Groups_Omonoid__mult( X ), c_Power_Opower__class_Opower( X, T,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) ) =
% 0.97/1.59 c_Power_Opower__class_Opower( X, c_Power_Opower__class_Opower( X, T, Z )
% 0.97/1.59 , Y ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__idom( X ), c_Orderings_Oord__class_Oless__eq(
% 0.97/1.59 X, c_Groups_Ozero__class_Ozero( X ), c_Power_Opower__class_Opower( X, Z,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ), Y ) ) ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ), c_NthRoot_Osqrt(
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.59 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) ) ) ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ), c_NthRoot_Osqrt(
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.59 c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) ) ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.59 , c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.59 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.59 c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.97/1.59 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.97/1.59 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.97/1.59 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ), ! Z =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 }.
% 0.97/1.59 { ! class_Rings_Olinordered__idom( X ), Z = c_Groups_Ozero__class_Ozero( X
% 0.97/1.59 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__idom( X ), Y = c_Groups_Ozero__class_Ozero( X
% 0.97/1.59 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) ) ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), v_d____ ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), v_r ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ) }
% 0.97/1.59 .
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ) }
% 0.97/1.59 .
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_NthRoot_Osqrt( X
% 0.97/1.59 ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_NthRoot_Osqrt( X )
% 0.97/1.59 , c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), ! c_NthRoot_Osqrt(
% 0.97/1.59 X ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ) }
% 0.97/1.59 .
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ) }
% 0.97/1.59 .
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), ! c_NthRoot_Osqrt(
% 0.97/1.59 X ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_NthRoot_Osqrt( Y
% 0.97/1.59 ), c_NthRoot_Osqrt( X ) ), c_Orderings_Oord__class_Oless__eq(
% 0.97/1.59 tc_RealDef_Oreal, Y, X ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_NthRoot_Osqrt( Y )
% 0.97/1.59 , c_NthRoot_Osqrt( X ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_NthRoot_Osqrt( Y )
% 0.97/1.59 , c_NthRoot_Osqrt( X ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_NthRoot_Osqrt( Y ),
% 0.97/1.59 c_NthRoot_Osqrt( X ) ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.59 Y, X ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_NthRoot_Osqrt( Y ),
% 0.97/1.59 c_NthRoot_Osqrt( X ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_NthRoot_Osqrt( Y ),
% 0.97/1.59 c_NthRoot_Osqrt( X ) ) }.
% 0.97/1.59 { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), !
% 0.97/1.59 class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.97/1.59 , ! c_Power_Opower__class_Opower( X, Z, Y ) = c_Groups_Ozero__class_Ozero
% 0.97/1.59 ( X ), Z = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.59 { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), !
% 0.97/1.59 class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.97/1.59 , ! c_Power_Opower__class_Opower( X, Z, Y ) = c_Groups_Ozero__class_Ozero
% 0.97/1.59 ( X ), ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.59 { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), !
% 0.97/1.59 class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.97/1.59 , ! Z = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero
% 0.97/1.59 ( tc_Nat_Onat ), c_Power_Opower__class_Opower( X, Z, Y ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.59 { ! c_NthRoot_Osqrt( Y ) = c_NthRoot_Osqrt( X ), Y = X }.
% 0.97/1.59 { ! Y = X, c_NthRoot_Osqrt( Y ) = c_NthRoot_Osqrt( X ) }.
% 0.97/1.59 { ! c_NthRoot_Osqrt( X ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal )
% 0.97/1.59 , X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.59 { ! X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X
% 0.97/1.59 ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.59 { c_NthRoot_Osqrt( c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.59 { ! class_Groups_Ozero( X ), ! c_Groups_Ozero__class_Ozero( X ) = Y, Y =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.59 { ! class_Groups_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) = Y }.
% 0.97/1.59 { c_NthRoot_Osqrt( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X )
% 0.97/1.59 ) = c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, c_NthRoot_Osqrt( Y
% 0.97/1.59 ), c_NthRoot_Osqrt( X ) ) }.
% 0.97/1.59 { c_NthRoot_Osqrt( c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y, X ) )
% 0.97/1.59 = c_Power_Opower__class_Opower( tc_RealDef_Oreal, c_NthRoot_Osqrt( Y ),
% 0.97/1.59 X ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.97/1.59 ( tc_Int_Oint ), c_Power_Opower__class_Opower( tc_Int_Oint,
% 0.97/1.59 c_Groups_Oabs__class_Oabs( tc_Int_Oint, Y ), X ) ), ! Y =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.59 { Y = c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.97/1.59 tc_Int_Oint ), c_Power_Opower__class_Opower( tc_Int_Oint,
% 0.97/1.59 c_Groups_Oabs__class_Oabs( tc_Int_Oint, Y ), X ) ) }.
% 0.97/1.59 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.97/1.59 tc_Int_Oint ), c_Power_Opower__class_Opower( tc_Int_Oint,
% 0.97/1.59 c_Groups_Oabs__class_Oabs( tc_Int_Oint, Y ), X ) ) }.
% 0.97/1.59 { ! class_Rings_Ono__zero__divisors( X ), ! c_Groups_Otimes__class_Otimes(
% 0.97/1.59 X, Z, Y ) = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.97/1.59 .
% 0.97/1.59 { ! class_Rings_Ono__zero__divisors( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.97/1.59 X ), Z = c_Groups_Ozero__class_Ozero( X ), !
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, Y, Z ) = c_Groups_Ozero__class_Ozero( X
% 0.97/1.59 ) }.
% 0.97/1.59 { ! class_Rings_Oring__no__zero__divisors( X ), !
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.97/1.59 ), Z = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero
% 0.97/1.59 ( X ) }.
% 0.97/1.59 { ! class_Rings_Oring__no__zero__divisors( X ), ! Z =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.97/1.59 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.59 { ! class_Rings_Oring__no__zero__divisors( X ), ! Y =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.97/1.59 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.59 { ! class_Rings_Omult__zero( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.59 { ! class_Rings_Omult__zero( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 }.
% 0.97/1.59 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, Y, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.59 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, Y, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.59 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, c_Groups_Ozero__class_Ozero( X ), Y ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.59 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, c_Groups_Ozero__class_Ozero( X ), Y ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 }.
% 0.97/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.59 Y, c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 }.
% 0.97/1.59 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.97/1.59 c_Groups_Oplus__class_Oplus( X, Y, Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 , Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.59 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.97/1.59 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.59 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.97/1.59 , c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.97/1.59 { ! class_Groups_Omonoid__add( X ), c_Groups_Oplus__class_Oplus( X, Y,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.97/1.59 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) = c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.97/1.59 , Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.59 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ozero__class_Ozero( X ) =
% 0.97/1.59 c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 0.97/1.59 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.97/1.59 { ! class_Groups_Omonoid__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.97/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.97/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.97/1.59 , c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.97/1.59 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.97/1.59 ( X ), ! Z = c_Groups_Oplus__class_Oplus( X, Z, Y ), Y =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.59 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.97/1.59 ( X ), ! Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.97/1.59 c_Groups_Oplus__class_Oplus( X, Z, Y ) }.
% 0.97/1.59 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ominus__class_Ominus( X, Z, Y
% 0.97/1.59 ) = c_Groups_Ozero__class_Ozero( X ), Z = Y }.
% 0.97/1.59 { ! class_Groups_Ogroup__add( X ), ! Z = Y, c_Groups_Ominus__class_Ominus(
% 0.97/1.59 X, Z, Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.59 { ! class_Groups_Oab__group__add( X ), ! Z = Y,
% 0.97/1.59 c_Groups_Ominus__class_Ominus( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.97/1.59 ) }.
% 0.97/1.59 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.97/1.59 Z, Y ) = c_Groups_Ozero__class_Ozero( X ), Z = Y }.
% 0.97/1.59 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Y, Y )
% 0.97/1.59 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.59 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Y,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.97/1.59 { ! class_Rings_Oring__1__no__zero__divisors( X ), Y =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), ! c_Power_Opower__class_Opower( X, Y, Z
% 0.97/1.59 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.59 { c_Int_OPls = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.97/1.59 c_Groups_Oabs__class_Oabs( X, Y ) = c_Groups_Ozero__class_Ozero( X ), Y =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add__abs( X ), ! Y =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oabs__class_Oabs( X, Y ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.97/1.59 c_Groups_Oabs__class_Oabs( X, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.97/1.59 { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.59 tc_Nat_Onat ), X ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.59 ( tc_Nat_Onat ), X ), ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }
% 0.97/1.59 .
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! X =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.59 { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.59 tc_Nat_Onat ), X ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.59 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.59 c_Power_Opower__class_Opower( tc_Nat_Onat, X, Z ),
% 0.97/1.59 c_Power_Opower__class_Opower( tc_Nat_Onat, X, Y ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.59 ( tc_Nat_Onat ), c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.59 tc_Nat_Onat ), Y ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.59 ( tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.97/1.59 ( tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.59 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.59 tc_Nat_Onat ), c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.59 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = Y, X =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.59 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.59 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.59 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), ! X =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.97/1.59 tc_Nat_Onat, Y, X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.59 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, c_Groups_Ozero__class_Ozero
% 0.97/1.59 ( tc_Nat_Onat ) ) = X }.
% 0.97/1.59 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.59 tc_Nat_Onat ), X ) = X }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.59 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.97/1.59 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ) =
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ), Z = Y }.
% 0.97/1.59 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! Z = Y,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ) =
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) }.
% 0.97/1.59 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ) =
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ), Z = Y }.
% 0.97/1.59 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! Z = Y,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ) =
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) }.
% 0.97/1.59 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Ozero__class_Ozero
% 0.97/1.59 ( tc_Int_Oint ) ) = X }.
% 0.97/1.59 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.97/1.59 tc_Int_Oint ), X ) = X }.
% 0.97/1.59 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ), Z = X, Y =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.59 { ! Z = X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 0.97/1.59 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 0.97/1.59 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ), Y = X, Z =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.59 { ! Y = X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 0.97/1.59 { ! Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 0.97/1.59 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ), Z =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y = X }.
% 0.97/1.59 { ! Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 0.97/1.59 { ! Y = X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 0.97/1.59 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.59 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.59 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.59 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.59 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.59 tc_Nat_Onat ), X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.59 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.59 tc_Nat_Onat ), X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.59 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) = X }.
% 0.97/1.59 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, X ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.59 { ! c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), !
% 0.97/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y = X }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt(
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__semidom( X ), ! c_Power_Opower__class_Opower(
% 0.97/1.59 X, T, Z ) = c_Power_Opower__class_Opower( X, Y, Z ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.97/1.59 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.97/1.59 X ), Y ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Z ), T = Y }.
% 0.97/1.59 { c_NthRoot_Osqrt( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X )
% 0.97/1.59 ) = c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.59 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), Z ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.59 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), T ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Power_Opower__class_Opower( X, Z, T )
% 0.97/1.59 , c_Power_Opower__class_Opower( X, Y, T ) ) }.
% 0.97/1.59 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.97/1.59 ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.59 , c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero(
% 0.97/1.59 X ) ) }.
% 0.97/1.59 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.97/1.59 X ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.59 ) ) }.
% 0.97/1.59 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.59 , c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.59 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.97/1.59 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.97/1.59 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.59 , Z, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.97/1.59 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.97/1.59 { ! class_Rings_Oordered__semiring( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.59 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.97/1.59 X ), U ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, Z, U ), c_Groups_Otimes__class_Otimes(
% 0.97/1.59 X, Y, T ) ) }.
% 0.97/1.59 { ! class_Rings_Oordered__semiring( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.97/1.59 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.97/1.59 X ), U ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, Z, U ), c_Groups_Otimes__class_Otimes(
% 0.97/1.59 X, Y, T ) ) }.
% 0.97/1.59 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.59 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.59 , c_Groups_Otimes__class_Otimes( X, T, Y ), c_Groups_Otimes__class_Otimes
% 0.97/1.59 ( X, T, Z ) ) }.
% 0.97/1.59 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.59 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.59 , c_Groups_Otimes__class_Otimes( X, Y, T ), c_Groups_Otimes__class_Otimes
% 0.97/1.59 ( X, Z, T ) ) }.
% 0.97/1.59 { ! class_Rings_Oordered__comm__semiring( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.97/1.59 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 0.97/1.59 X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.97/1.59 { ! class_Rings_Oordered__semiring( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.97/1.59 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 0.97/1.59 X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.97/1.59 { ! class_Rings_Oordered__semiring( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.97/1.59 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 0.97/1.59 X, Z, T ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.97/1.59 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.59 , Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.97/1.59 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.97/1.59 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.97/1.59 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, Y, Z ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.59 ) ) }.
% 0.97/1.59 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.59 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.59 , c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero(
% 0.97/1.59 X ) ) }.
% 0.97/1.59 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.59 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.59 , c_Groups_Otimes__class_Otimes( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 0.97/1.59 X ) ) }.
% 0.97/1.59 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.59 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.97/1.59 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Y, Z
% 0.97/1.59 ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.97/1.59 , Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha2( X, Y, Z ), alpha31( X
% 0.97/1.59 , Y, Z ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha2( X, Y, Z ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.97/1.59 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha31( X, Y, Z ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.97/1.59 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.59 { ! alpha31( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.59 { ! alpha31( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.97/1.59 ) ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.97/1.59 ( X ), Y ), alpha31( X, Y, Z ) }.
% 0.97/1.59 { ! alpha2( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.97/1.59 { ! alpha2( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 , Z ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) ), alpha2( X, Y, Z ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), alpha3( X, Y, Z ), alpha32( X
% 0.97/1.59 , Y, Z ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha3( X, Y, Z ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha32( X, Y, Z ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.97/1.59 { ! alpha32( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.59 { ! alpha32( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.97/1.59 ) ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) ), alpha32( X, Y, Z ) }.
% 0.97/1.59 { ! alpha3( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.97/1.59 { ! alpha3( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 , Z ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), Y ), alpha3( X, Y, Z ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__ring( X ), c_Orderings_Oord__class_Oless__eq(
% 0.97/1.59 X, c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Y
% 0.97/1.59 , Y ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.59 ( X, T, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.97/1.59 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, T, Z ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.59 ( X, T, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.97/1.59 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, Z, T ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__comm__semiring__strict( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.59 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.97/1.59 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.59 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.97/1.59 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.59 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.97/1.59 ( X, c_Groups_Otimes__class_Otimes( X, Z, T ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.59 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.59 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.59 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.97/1.59 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.97/1.59 Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.59 ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.97/1.59 T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.59 ! c_Orderings_Oord__class_Oless( X, Z, T ), c_Orderings_Oord__class_Oless
% 0.97/1.59 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ) }
% 0.97/1.59 .
% 0.97/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ) }
% 0.97/1.59 .
% 0.97/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.59 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.59 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.97/1.59 Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.59 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.59 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.97/1.59 Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.59 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.97/1.59 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.59 ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.97/1.59 T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, T, Z ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.59 ! c_Orderings_Oord__class_Oless( X, T, Z ), c_Orderings_Oord__class_Oless
% 0.97/1.59 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.97/1.59 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ), alpha4( X, Y, Z, T ),
% 0.97/1.59 alpha33( X, Y, Z, T ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha4( X, Y, Z, T ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.97/1.59 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha33( X, Y, Z, T ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.97/1.59 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.97/1.59 { ! alpha33( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.59 { ! alpha33( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.59 , ! c_Orderings_Oord__class_Oless( X, Y, Z ), alpha33( X, Y, Z, T ) }.
% 0.97/1.59 { ! alpha4( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), T ) }.
% 0.97/1.59 { ! alpha4( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T )
% 0.97/1.59 , ! c_Orderings_Oord__class_Oless( X, Z, Y ), alpha4( X, Y, Z, T ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.97/1.59 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ), alpha5( X, Y, Z, T ),
% 0.97/1.59 alpha34( X, Y, Z, T ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha5( X, Y, Z, T ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.97/1.59 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha34( X, Y, Z, T ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.97/1.59 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.97/1.59 { ! alpha34( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.59 { ! alpha34( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Y, T ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.59 , ! c_Orderings_Oord__class_Oless( X, Y, T ), alpha34( X, Y, Z, T ) }.
% 0.97/1.59 { ! alpha5( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.97/1.59 { ! alpha5( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.97/1.59 , ! c_Orderings_Oord__class_Oless( X, T, Y ), alpha5( X, Y, Z, T ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__ring( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.59 , c_Groups_Otimes__class_Otimes( X, Y, Y ), c_Groups_Ozero__class_Ozero(
% 0.97/1.59 X ) ) }.
% 0.97/1.59 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.59 , c_Groups_Oplus__class_Oplus( X, Y, Z ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.59 ) ) }.
% 0.97/1.59 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.59 ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oplus__class_Oplus( X,
% 0.97/1.59 Z, Y ) ) }.
% 0.97/1.59 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.59 ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oplus__class_Oplus( X,
% 0.97/1.59 Y, Z ) ) }.
% 0.97/1.59 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.59 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.97/1.59 X ), Z ), ! c_Groups_Oplus__class_Oplus( X, Y, Z ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.97/1.59 .
% 0.97/1.59 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.59 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.97/1.59 X ), Z ), ! c_Groups_Oplus__class_Oplus( X, Y, Z ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.97/1.59 .
% 0.97/1.59 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.59 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.97/1.59 X ), Z ), ! Y = c_Groups_Ozero__class_Ozero( X ), ! Z =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Z )
% 0.97/1.59 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.59 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.59 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.97/1.59 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Z )
% 0.97/1.59 ) }.
% 0.97/1.59 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Y,
% 0.97/1.59 Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 ) }.
% 0.97/1.59 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X
% 0.97/1.59 , Y, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.59 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Groups_Oplus__class_Oplus( X, Y, Y ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.59 ) }.
% 0.97/1.59 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.59 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.97/1.59 ), c_Groups_Oplus__class_Oplus( X, Y, Y ) ) }.
% 0.97/1.59 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.59 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.59 , c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.97/1.59 ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.59 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, T, Z ), c_Orderings_Oord__class_Oless(
% 0.97/1.59 X, T, c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.97/1.59 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.59 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.97/1.59 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.97/1.59 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.97/1.59 , c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Y
% 0.97/1.59 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.59 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.97/1.59 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.59 , c_Groups_Oplus__class_Oplus( X, Y, Y ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.59 ) ), c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X
% 0.97/1.59 ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.59 , Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.97/1.59 , c_Groups_Oplus__class_Oplus( X, Y, Y ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.59 ) ) }.
% 0.97/1.59 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Groups_Oplus__class_Oplus( X, Y, Y ) ), c_Orderings_Oord__class_Oless(
% 0.97/1.59 X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.59 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Groups_Oplus__class_Oplus( X, Y, Y ) ) }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X, Z
% 0.97/1.59 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X, Z
% 0.97/1.59 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.59 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z )
% 0.97/1.59 , c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.97/1.59 .
% 0.97/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.59 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z )
% 0.97/1.59 , c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.97/1.59 .
% 0.97/1.59 { ! class_Rings_Olinordered__ring__strict( X ), ! Z =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z
% 0.97/1.59 ), c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.59 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.97/1.59 ( X ), Y = c_Groups_Ozero__class_Ozero( X ), ! W = U, T = Z, !
% 0.97/1.59 c_Groups_Oplus__class_Oplus( X, W, c_Groups_Otimes__class_Otimes( X, Y, T
% 0.97/1.59 ) ) = c_Groups_Oplus__class_Oplus( X, U, c_Groups_Otimes__class_Otimes(
% 0.97/1.59 X, Y, Z ) ) }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.97/1.59 X, c_Groups_Ominus__class_Ominus( X, Z, Y ), c_Groups_Ozero__class_Ozero
% 0.97/1.59 ( X ) ) }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ominus__class_Ominus( X, Z, Y
% 0.97/1.59 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.97/1.59 , Z, Y ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__semidom( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.59 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.97/1.59 ), c_Power_Opower__class_Opower( X, Y, Z ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__semidom( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.97/1.59 ), c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X
% 0.97/1.59 , Z, T ), c_Power_Opower__class_Opower( X, Y, T ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.59 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless
% 0.97/1.59 ( X, c_Groups_Ozero__class_Ozero( X ), c_Power_Opower__class_Opower( X, Y
% 0.97/1.59 , Z ) ) }.
% 0.97/1.59 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.59 c_Int_OPls ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.59 { ! class_Int_Onumber__ring( X ), c_Groups_Ozero__class_Ozero( X ) =
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ) }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.59 ), c_Groups_Oabs__class_Oabs( X, Y ) = Y }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Y ),
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add__abs( X ), ! Y =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.59 c_Groups_Oabs__class_Oabs( X, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.59 c_Groups_Oabs__class_Oabs( X, Y ) = Y }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Groups_Oabs__class_Oabs( X, Y ) ), ! Y = c_Groups_Ozero__class_Ozero( X
% 0.97/1.59 ) }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add__abs( X ), Y =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Oabs__class_Oabs( X, Y ),
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ),
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ),
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ), X =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.59 { ! X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ),
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ),
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.97/1.59 { c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) =
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OPls ) }.
% 0.97/1.59 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OPls ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.59 ( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.59 tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.59 ( tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.97/1.59 tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.59 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.97/1.59 tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.59 { c_Groups_Ozero__class_Ozero( tc_Int_Oint ) =
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OPls ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.59 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.59 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, Z ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.59 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.59 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y
% 0.97/1.59 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.59 ( tc_Nat_Onat ), X ), ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z
% 0.97/1.59 ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ), Z = Y }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.59 ( tc_Nat_Onat ), X ), ! Z = Y, c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 0.97/1.59 , X, Z ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.59 tc_Nat_Onat ), Y ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.59 ( tc_Nat_Onat ), Y ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X
% 0.97/1.59 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.59 tc_Nat_Onat ), Z ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.59 ( tc_Nat_Onat ), Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X
% 0.97/1.59 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.59 ( tc_Nat_Onat ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.59 tc_Nat_Onat ), Y ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.59 ( tc_Nat_Onat ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.59 tc_Nat_Onat ), X ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.59 ( tc_Nat_Onat ), Y ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.59 tc_Nat_Onat ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.59 ( tc_Nat_Onat ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.59 tc_Nat_Onat ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.59 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.97/1.59 ( tc_Nat_Onat, Y, X ), Y ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.97/1.59 tc_Int_Oint ), Z ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ) ) }.
% 0.97/1.59 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y,
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.59 { ! c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ),
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ),
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.97/1.59 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.59 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.59 { ! Y = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! X =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ominus__class_Ominus
% 0.97/1.59 ( tc_Int_Oint, Y, X ), c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.97/1.59 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ),
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt(
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.59 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt(
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.59 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Power_Opower__class_Opower
% 0.97/1.59 ( tc_Int_Oint, c_Groups_Oabs__class_Oabs( tc_Int_Oint, Y ), X ) ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, c_NthRoot_Osqrt(
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) ) ) }.
% 0.97/1.59 { ! c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) = X, ! c_Orderings_Oord__class_Oless__eq(
% 0.97/1.59 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.97/1.59 c_NthRoot_Osqrt( X ) = Y }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.97/1.59 c_Power_Opower__class_Opower( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) = X }.
% 0.97/1.59 { ! c_Power_Opower__class_Opower( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) = X, c_Orderings_Oord__class_Oless__eq(
% 0.97/1.59 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }
% 0.97/1.59 .
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.97/1.59 c_Power_Opower__class_Opower( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) = X }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.59 c_Power_Opower__class_Opower( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) ) }.
% 0.97/1.59 { ! c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.59 c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) ) ) = Y, X = c_Groups_Ozero__class_Ozero(
% 0.97/1.59 tc_RealDef_Oreal ) }.
% 0.97/1.59 { ! c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.59 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) ) ) = Y, X = c_Groups_Ozero__class_Ozero(
% 0.97/1.59 tc_RealDef_Oreal ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 0.97/1.59 , Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 0.97/1.59 , Z ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.97/1.59 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.97/1.59 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__semiring( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.59 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, T, Y ) ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.97/1.59 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.97/1.59 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.97/1.59 ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__semiring( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.59 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, Y, Z ) ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.97/1.59 ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, U, T ), ! c_Orderings_Oord__class_Oless
% 0.97/1.59 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.97/1.59 ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.97/1.59 , U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.97/1.59 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 , U ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X
% 0.97/1.59 , Z, U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.59 ( X, U, T ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.97/1.59 ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.97/1.59 , U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.59 ( X, U, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.97/1.59 ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.97/1.59 , U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.59 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.97/1.59 , Y, T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.59 ! c_Orderings_Oord__class_Oless__eq( X, Z, T ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Y
% 0.97/1.59 , T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.59 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.97/1.59 , Y, T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.59 ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Y
% 0.97/1.59 , T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.97/1.59 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.97/1.59 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.97/1.59 , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.59 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.59 ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.97/1.59 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.97/1.59 , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.59 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.59 ), ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.97/1.59 ) ) }.
% 0.97/1.59 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.59 ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.97/1.59 ) ) }.
% 0.97/1.59 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.59 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.97/1.59 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.59 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.97/1.59 X, Y, Y ) ), c_Groups_Ozero__class_Ozero( X ) ), Z =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.97/1.59 X, Y, Y ) ), c_Groups_Ozero__class_Ozero( X ) ), Y =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__ring__strict( X ), ! Z =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 , c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.97/1.59 X, Y, Y ) ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__ring( X ), c_Orderings_Oord__class_Oless__eq(
% 0.97/1.59 X, c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.97/1.59 X, Y, Y ) ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z )
% 0.97/1.59 , c_Groups_Otimes__class_Otimes( X, Y, Y ) ) ), ! Z =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 }.
% 0.97/1.59 { ! class_Rings_Olinordered__ring__strict( X ), Z =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.97/1.59 X, Y, Y ) ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__ring__strict( X ), Y =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.97/1.59 X, Y, Y ) ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__ring( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.59 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z
% 0.97/1.59 ), c_Groups_Otimes__class_Otimes( X, Y, Y ) ),
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.59 ( X, c_Power_Opower__class_Opower( X, Z, T ),
% 0.97/1.59 c_Power_Opower__class_Opower( X, Y, T ) ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.59 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.97/1.59 { ! class_Rings_Oordered__ring__abs( X ), alpha97( X, Z ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.59 ), c_Groups_Oabs__class_Oabs( X, c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.97/1.59 ) ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Oabs__class_Oabs( X, Z
% 0.97/1.59 ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.97/1.59 { ! class_Rings_Oordered__ring__abs( X ), alpha97( X, Z ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 ), c_Groups_Oabs__class_Oabs( X, c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.97/1.59 ) ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Oabs__class_Oabs( X, Z
% 0.97/1.59 ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.97/1.59 { ! alpha97( X, Y ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.59 { ! alpha97( X, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.59 ), c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero
% 0.97/1.59 ( X ) ), alpha97( X, Y ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.97/1.59 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), c_Groups_Otimes__class_Otimes
% 0.97/1.59 ( X, c_Groups_Oabs__class_Oabs( X, Z ), Y ) = c_Groups_Oabs__class_Oabs(
% 0.97/1.59 X, c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.97/1.59 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.59 c_Int_OBit0( Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.97/1.59 c_Groups_Oplus__class_Oplus( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__idom( X ), c_Orderings_Oord__class_Oless__eq(
% 0.97/1.59 X, c_Groups_Ozero__class_Ozero( X ), c_Power_Opower__class_Opower( X,
% 0.97/1.59 c_Groups_Oabs__class_Oabs( X, Z ), Y ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.97/1.59 { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) =
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ),
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) =
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) }.
% 0.97/1.59 { ! c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt(
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.59 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) ) ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.59 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.59 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z
% 0.97/1.59 , Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.59 tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X
% 0.97/1.59 ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.59 tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.59 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X
% 0.97/1.59 ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.59 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.97/1.59 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.97/1.59 , alpha6( X, Y, Z ) }.
% 0.97/1.59 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.97/1.59 , alpha35( X, Y, Z ) }.
% 0.97/1.59 { ! alpha6( X, Y, Z ), ! alpha35( X, Y, Z ), hBOOL( hAPP( Z,
% 0.97/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) ) }.
% 0.97/1.59 { ! alpha35( X, Y, Z ), ! Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.97/1.59 T ), hBOOL( hAPP( Z, T ) ) }.
% 0.97/1.59 { ! hBOOL( hAPP( Z, skol3( T, U, Z ) ) ), alpha35( X, Y, Z ) }.
% 0.97/1.59 { Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, skol3( X, Y, Z ) ),
% 0.97/1.59 alpha35( X, Y, Z ) }.
% 0.97/1.59 { ! alpha6( X, Y, Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X )
% 0.97/1.59 , hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), alpha6( X, Y, Z ) }.
% 0.97/1.59 { ! hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), alpha6
% 0.97/1.59 ( X, Y, Z ) }.
% 0.97/1.59 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.97/1.59 , ! alpha7( X, Y, Z ) }.
% 0.97/1.59 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.97/1.59 , ! alpha36( X, Y, Z ) }.
% 0.97/1.59 { alpha7( X, Y, Z ), alpha36( X, Y, Z ), hBOOL( hAPP( Z,
% 0.97/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) ) }.
% 0.97/1.59 { ! alpha36( X, Y, Z ), ! hBOOL( hAPP( Z, skol4( T, U, Z ) ) ) }.
% 0.97/1.59 { ! alpha36( X, Y, Z ), Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.97/1.59 skol4( X, Y, Z ) ) }.
% 0.97/1.59 { ! Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, T ), hBOOL( hAPP( Z, T
% 0.97/1.59 ) ), alpha36( X, Y, Z ) }.
% 0.97/1.59 { ! alpha7( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }
% 0.97/1.59 .
% 0.97/1.59 { ! alpha7( X, Y, Z ), ! hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero(
% 0.97/1.59 tc_Nat_Onat ) ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), hBOOL( hAPP( Z,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), alpha7( X, Y, Z ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt(
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.59 c_Power_Opower__class_Opower( tc_RealDef_Oreal, T,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Z,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.59 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) ) ) ) ) }.
% 0.97/1.59 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.59 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ) }.
% 0.97/1.59 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.59 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.59 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, Y ) }.
% 0.97/1.59 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, Y ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.59 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.59 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless(
% 0.97/1.59 tc_Int_Oint, Y, c_Int_OPls ) }.
% 0.97/1.59 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.59 ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.59 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.97/1.59 ( tc_Int_Oint, c_Int_OPls, Y ) }.
% 0.97/1.59 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, Y ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.59 ( tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.59 tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.97/1.59 { ! class_Rings_Oring__1__no__zero__divisors( X ), !
% 0.97/1.59 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.97/1.59 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.97/1.59 .
% 0.97/1.59 { ! class_Rings_Oring__1__no__zero__divisors( X ), ! Y =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), c_Power_Opower__class_Opower( X, Y,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.59 { ! class_Rings_Osemiring__1( X ), c_Power_Opower__class_Opower( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of(
% 0.97/1.59 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.59 tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0
% 0.97/1.59 ( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, c_Int_OPls ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Z ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ), X ) ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, c_Int_OPls ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Z ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ), X ) ) =
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ) ), X ) }.
% 0.97/1.59 { c_NthRoot_Osqrt( c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) ) = c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) }
% 0.97/1.59 .
% 0.97/1.59 { ! class_Rings_Olinordered__semidom( X ), ! c_Power_Opower__class_Opower(
% 0.97/1.59 X, Z, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0(
% 0.97/1.59 c_Int_OBit1( c_Int_OPls ) ) ) ) = c_Power_Opower__class_Opower( X, Y,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.59 ), Z = Y }.
% 0.97/1.59 { ! class_Rings_Olinordered__semidom( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X, Z
% 0.97/1.59 , c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1
% 0.97/1.59 ( c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless__eq
% 0.97/1.59 ( X, Z, Y ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__idom( X ), c_Orderings_Oord__class_Oless__eq(
% 0.97/1.59 X, c_Groups_Ozero__class_Ozero( X ), c_Power_Opower__class_Opower( X, Y,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.59 , c_Groups_Ozero__class_Ozero( X ), c_Power_Opower__class_Opower( X, Y,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) ), ! Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__idom( X ), Y = c_Groups_Ozero__class_Ozero( X
% 0.97/1.59 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.97/1.59 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.59 , c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.97/1.59 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__idom( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.97/1.59 c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.97/1.59 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.97/1.59 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.97/1.59 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.97/1.59 .
% 0.97/1.59 { ! class_Rings_Olinordered__idom( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.97/1.59 c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.97/1.59 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.97/1.59 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.97/1.59 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.97/1.59 .
% 0.97/1.59 { ! class_Rings_Olinordered__idom( X ), ! Z = c_Groups_Ozero__class_Ozero(
% 0.97/1.59 X ), ! Y = c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus
% 0.97/1.59 ( X, c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of
% 0.97/1.59 ( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.97/1.59 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.97/1.59 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_NthRoot_Osqrt(
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.59 c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, T, Z ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.59 c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.59 c_Power_Opower__class_Opower( tc_RealDef_Oreal, T,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) ) ), c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus(
% 0.97/1.59 tc_RealDef_Oreal, c_Power_Opower__class_Opower( tc_RealDef_Oreal, Z,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) ) ) ) ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, c_NthRoot_Osqrt(
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.59 c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) ) ) ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, c_NthRoot_Osqrt(
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.59 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) ) ) ) }.
% 0.97/1.59 { c_Power_Opower__class_Opower( tc_RealDef_Oreal, c_NthRoot_Osqrt(
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.59 c_Power_Opower__class_Opower( tc_RealDef_Oreal, T,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Z,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.59 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) ) ) ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 0.97/1.59 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) =
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.59 c_Power_Opower__class_Opower( tc_RealDef_Oreal, T,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Z,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.59 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) ) ) }.
% 0.97/1.59 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.59 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y
% 0.97/1.59 = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.59 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.59 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X
% 0.97/1.59 = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.59 { ! Y = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! X =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.59 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }
% 0.97/1.59 .
% 0.97/1.59 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.59 ( X, c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of
% 0.97/1.59 ( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.97/1.59 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.97/1.59 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.59 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.97/1.59 ( X, c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) ), c_Groups_Ozero__class_Ozero( X ) ), Z =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.97/1.59 ( X, c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) ), c_Groups_Ozero__class_Ozero( X ) ), Y =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__idom( X ), ! Z = c_Groups_Ozero__class_Ozero(
% 0.97/1.59 X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.97/1.59 c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.97/1.59 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.97/1.59 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.97/1.59 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ),
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__idom( X ), c_Orderings_Oord__class_Oless__eq(
% 0.97/1.59 X, c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.59 c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.97/1.59 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.97/1.59 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.97/1.59 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ) }.
% 0.97/1.59 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.97/1.59 ( X, c_Power_Opower__class_Opower( X, Y, c_Groups_Otimes__class_Otimes(
% 0.97/1.59 tc_Nat_Onat, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0(
% 0.97/1.59 c_Int_OBit1( c_Int_OPls ) ) ), Z ) ), c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.59 , Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) }.
% 0.97/1.59 { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes
% 0.97/1.59 ( tc_Int_Oint, W, U ), T ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ), X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.97/1.59 tc_Int_Oint, c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ), X ),
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Int_Oint, T, W ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.97/1.59 tc_Int_Oint ), Z ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z,
% 0.97/1.59 W ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, U ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 0.97/1.59 tc_Int_Oint, U, T ), Z ), c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Int_Oint, U, Y ), X ) ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Int_Oint, U, X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Int_Oint, U, Z ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, T ) }.
% 0.97/1.59 { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes
% 0.97/1.59 ( tc_Int_Oint, W, U ), T ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ), X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oplus__class_Oplus(
% 0.97/1.59 tc_Int_Oint, c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ), X ) ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Z ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), T ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.97/1.59 tc_Int_Oint ), Z ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z,
% 0.97/1.59 W ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, U, Y ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.59 ( tc_Nat_Onat ), c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) ), X =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.59 tc_Nat_Onat ), Y ) }.
% 0.97/1.59 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.59 tc_Nat_Onat ), c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.59 ( tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.97/1.59 ( tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Ozero__class_Ozero(
% 0.97/1.59 tc_Int_Oint ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.59 ( tc_Nat_Onat ), c_Power_Opower__class_Opower( tc_Nat_Onat, Y,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Orderings_Oord__class_Oless
% 0.97/1.59 ( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ) }.
% 0.97/1.59 { ! c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Orderings_Oord__class_Oless
% 0.97/1.59 ( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.97/1.59 c_Power_Opower__class_Opower( tc_Nat_Onat, Y,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.59 ( tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.97/1.59 ( tc_Nat_Onat, Y, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) )
% 0.97/1.59 }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oplus__class_Oplus(
% 0.97/1.59 tc_Int_Oint, X, Y ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Otimes__class_Otimes
% 0.97/1.59 ( tc_Int_Oint, X, Y ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Power_Opower__class_Opower
% 0.97/1.59 ( tc_Int_Oint, X, Y ) ) }.
% 0.97/1.59 { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), !
% 0.97/1.59 class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.97/1.59 , ! c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of
% 0.97/1.59 ( tc_Nat_Onat, Y ) ) = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.59 { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), !
% 0.97/1.59 class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.97/1.59 , ! c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of
% 0.97/1.59 ( tc_Nat_Onat, Y ) ) = c_Groups_Ozero__class_Ozero( X ), !
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.59 { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), !
% 0.97/1.59 class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.97/1.59 , ! Z = c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.97/1.59 ( X, Z, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit1( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oplus__class_Oplus(
% 0.97/1.59 tc_Int_Oint, c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ), X ) ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Z ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.97/1.59 tc_Int_Oint ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus
% 0.97/1.59 ( tc_Int_Oint, c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ), X ),
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.97/1.59 tc_Int_Oint ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 0.97/1.59 tc_Int_Oint, U, T ), Z ), c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_Int_Oint, U, Y ), X ) ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Z ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, U ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, U ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, T, Y ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, v_w____ ), v_r ) }
% 0.97/1.59 .
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( X ) ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit1( X ) ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X,
% 0.97/1.59 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Z ) ) ), Y =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, v_g____( X ) ), v_r
% 0.97/1.59 ) }.
% 0.97/1.59 { ! class_RealVector_Oreal__normed__vector( X ), c_Groups_Oabs__class_Oabs
% 0.97/1.59 ( tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( X, Y ) ) =
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( X, Y ) }.
% 0.97/1.59 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X, Z,
% 0.97/1.59 Y ) ) = c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus
% 0.97/1.59 ( X, Y, Z ) ) }.
% 0.97/1.59 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.59 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( X, Y ) = c_Groups_Ozero__class_Ozero(
% 0.97/1.59 tc_RealDef_Oreal ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.59 { ! class_RealVector_Oreal__normed__vector( X ), ! Y =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), c_RealVector_Onorm__class_Onorm( X, Y )
% 0.97/1.59 = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.59 { ! class_RealVector_Oreal__normed__div__algebra( X ),
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.97/1.59 Y ) ) = c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.97/1.59 ( X, Y ) ) }.
% 0.97/1.59 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( X, Y ) ) }.
% 0.97/1.59 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( X, Y ), c_Groups_Ozero__class_Ozero(
% 0.97/1.59 tc_RealDef_Oreal ) ) }.
% 0.97/1.59 { ! class_RealVector_Oreal__normed__div__algebra( X ),
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( X, c_Power_Opower__class_Opower( X, Z, Y
% 0.97/1.59 ) ) = c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( X, Z ), Y ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ),
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, Y, X ) ),
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ) ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, Y, X ) ),
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ) ),
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ) }.
% 0.97/1.59 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( X, Z ), c_Groups_Otimes__class_Otimes(
% 0.97/1.59 tc_RealDef_Oreal, Y, c_RealVector_Onorm__class_Onorm( X, T ) ) ), Z =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.59 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( X, Y ), c_Groups_Ozero__class_Ozero(
% 0.97/1.59 tc_RealDef_Oreal ) ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.59 { ! class_RealVector_Oreal__normed__vector( X ), ! Y =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless__eq(
% 0.97/1.59 tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( X, Y ),
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.97/1.59 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( X, Y ) ), ! Y =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.59 { ! class_RealVector_Oreal__normed__vector( X ), Y =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless(
% 0.97/1.59 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( X, Y ) ) }.
% 0.97/1.59 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.97/1.59 Y ) ), c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.97/1.59 ( X, Y ) ) ) }.
% 0.97/1.59 { ! class_RealVector_Oreal__normed__algebra( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( X, Z ), Y ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( X, U ), T ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.97/1.59 U ) ), c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, T ) ) }.
% 0.97/1.59 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.97/1.59 ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.97/1.59 ( X, Y ) ) ) }.
% 0.97/1.59 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( X, Z ), Y ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( X, U ), T ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( X, c_Groups_Oplus__class_Oplus( X, Z, U
% 0.97/1.59 ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, T ) ) }.
% 0.97/1.59 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X, Z,
% 0.97/1.59 Y ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.97/1.59 ( X, Y ) ) ) }.
% 0.97/1.59 { ! class_RealVector_Oreal__normed__algebra__1( X ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( X, c_Power_Opower__class_Opower( X, Z, Y
% 0.97/1.59 ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( X, Z ), Y ) ) }.
% 0.97/1.59 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.97/1.59 ( X, Y ) ), c_RealVector_Onorm__class_Onorm( X,
% 0.97/1.59 c_Groups_Oplus__class_Oplus( X, Z, Y ) ) ) }.
% 0.97/1.59 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.97/1.59 ( X, Y ) ), c_RealVector_Onorm__class_Onorm( X,
% 0.97/1.59 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) ) }.
% 0.97/1.59 { ! class_Int_Onumber__ring( X ), !
% 0.97/1.59 class_RealVector_Oreal__normed__algebra__1( X ),
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( X, c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.59 Y ) ) = c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, Y ) ) }.
% 0.97/1.59 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X,
% 0.97/1.59 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.97/1.59 , Y ) ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X, U,
% 0.97/1.59 Z ) ), c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus
% 0.97/1.59 ( X, T, Y ) ) ) ) }.
% 0.97/1.59 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.97/1.59 ( X, Y ) ) ), c_RealVector_Onorm__class_Onorm( X,
% 0.97/1.59 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), X =
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol5( X, Y ) ) }.
% 0.97/1.59 { ! X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OPls ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y,
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.59 c_Int_OBit1( c_Int_OPls ) ) ) ) ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.59 tc_RealDef_Oreal, Z, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X
% 0.97/1.59 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.59 c_Int_OBit1( c_Int_OPls ) ) ) ) ), ! c_Orderings_Oord__class_Oless__eq(
% 0.97/1.59 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Z ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_NthRoot_Osqrt(
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.59 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Z,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) ) ), X ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ),
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, c_NthRoot_Osqrt(
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.59 c_Int_OBit1( c_Int_OPls ) ) ) ) ) ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.59 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Z ),
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, c_NthRoot_Osqrt(
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.59 c_Int_OBit1( c_Int_OPls ) ) ) ) ) ), c_Orderings_Oord__class_Oless(
% 0.97/1.59 tc_RealDef_Oreal, c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus(
% 0.97/1.59 tc_RealDef_Oreal, c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Z,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) ) ), X ) }.
% 0.97/1.59 { c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.97/1.59 c_Complex_Ocomplex_OComplex( Y, X ) ) = c_NthRoot_Osqrt(
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.59 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.59 c_Int_OPls ) ) ) ) ) ) }.
% 0.97/1.59 { ! class_RealVector_Oreal__normed__field( X ), Y =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), c_RealVector_Onorm__class_Onorm( X,
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.97/1.59 ( X, Y ) ) }.
% 0.97/1.59 { c_RealVector_Onorm__class_Onorm( tc_RealDef_Oreal, X ) =
% 0.97/1.59 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) }.
% 0.97/1.59 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.97/1.59 class_RealVector_Oreal__normed__field( X ),
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.97/1.59 , Y ) ) = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.97/1.59 ( X, Y ) ) }.
% 0.97/1.59 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 , ! c_Groups_Otimes__class_Otimes( X, T, Y ) = Z, T =
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.97/1.59 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 , ! T = c_Groups_Otimes__class_Otimes( X, Z, Y ),
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z }.
% 0.97/1.59 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 , ! c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z, T =
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, Z, Y ) }.
% 0.97/1.59 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 , ! T = c_Groups_Otimes__class_Otimes( X, Z, Y ),
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z }.
% 0.97/1.59 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 , ! T = c_Rings_Oinverse__class_Odivide( X, Z, Y ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, T, Y ) = Z }.
% 0.97/1.59 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 , ! c_Groups_Otimes__class_Otimes( X, T, Y ) = Z, T =
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.97/1.59 { ! class_Rings_Odivision__ring( X ), c_Groups_Otimes__class_Otimes( X, T,
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.97/1.59 Z ), Y ) }.
% 0.97/1.59 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.97/1.59 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.97/1.59 ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ),
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.59 { ! class_RealVector_Oreal__normed__field( X ),
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, T, Z
% 0.97/1.59 ), Y ) = c_Groups_Oplus__class_Oplus( X, c_Rings_Oinverse__class_Odivide
% 0.97/1.59 ( X, T, Y ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.59 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.97/1.59 c_Groups_Ominus__class_Ominus( X, T, Z ), Y ) =
% 0.97/1.59 c_Groups_Ominus__class_Ominus( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.97/1.59 Y ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.59 { ! class_RealVector_Oreal__normed__field( X ),
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X, T,
% 0.97/1.59 Z ), Y ) = c_Groups_Ominus__class_Ominus( X,
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( X, T, Y ),
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.59 { ! c_Complex_Ocomplex_OComplex( T, Z ) = c_Complex_Ocomplex_OComplex( Y, X
% 0.97/1.59 ), T = Y }.
% 0.97/1.59 { ! c_Complex_Ocomplex_OComplex( T, Z ) = c_Complex_Ocomplex_OComplex( Y, X
% 0.97/1.59 ), Z = X }.
% 0.97/1.59 { ! T = Y, ! Z = X, c_Complex_Ocomplex_OComplex( T, Z ) =
% 0.97/1.59 c_Complex_Ocomplex_OComplex( Y, X ) }.
% 0.97/1.59 { c_NthRoot_Osqrt( c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X
% 0.97/1.59 ) ) = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_NthRoot_Osqrt
% 0.97/1.59 ( Y ), c_NthRoot_Osqrt( X ) ) }.
% 0.97/1.59 { c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex,
% 0.97/1.59 c_Complex_Ocomplex_OComplex( T, Z ), c_Complex_Ocomplex_OComplex( Y, X )
% 0.97/1.59 ) = c_Complex_Ocomplex_OComplex( c_Groups_Ominus__class_Ominus(
% 0.97/1.59 tc_RealDef_Oreal, T, Y ), c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal
% 0.97/1.59 , Z, X ) ) }.
% 0.97/1.59 { c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex,
% 0.97/1.59 c_Complex_Ocomplex_OComplex( T, Z ), c_Complex_Ocomplex_OComplex( Y, X )
% 0.97/1.59 ) = c_Complex_Ocomplex_OComplex( c_Groups_Oplus__class_Oplus(
% 0.97/1.59 tc_RealDef_Oreal, T, Y ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.59 Z, X ) ) }.
% 0.97/1.59 { c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ) ) =
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, Y ) }.
% 0.97/1.59 { ! class_Fields_Ofield__inverse__zero( X ), c_Power_Opower__class_Opower(
% 0.97/1.59 X, c_Rings_Oinverse__class_Odivide( X, T, Z ), Y ) =
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( X, c_Power_Opower__class_Opower( X, T, Y
% 0.97/1.59 ), c_Power_Opower__class_Opower( X, Z, Y ) ) }.
% 0.97/1.59 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 }.
% 0.97/1.59 { ! class_Rings_Odivision__ring__inverse__zero( X ),
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.59 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.59 { ! class_RealVector_Oreal__normed__field( X ),
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.97/1.59 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.59 { c_Groups_Ozero__class_Ozero( tc_Complex_Ocomplex ) =
% 0.97/1.59 c_Complex_Ocomplex_OComplex( c_Groups_Ozero__class_Ozero(
% 0.97/1.59 tc_RealDef_Oreal ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.97/1.59 { ! c_Complex_Ocomplex_OComplex( Y, X ) = c_Groups_Ozero__class_Ozero(
% 0.97/1.59 tc_Complex_Ocomplex ), Y = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal
% 0.97/1.59 ) }.
% 0.97/1.59 { ! c_Complex_Ocomplex_OComplex( Y, X ) = c_Groups_Ozero__class_Ozero(
% 0.97/1.59 tc_Complex_Ocomplex ), X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal
% 0.97/1.59 ) }.
% 0.97/1.59 { ! Y = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! X =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.59 c_Complex_Ocomplex_OComplex( Y, X ) = c_Groups_Ozero__class_Ozero(
% 0.97/1.59 tc_Complex_Ocomplex ) }.
% 0.97/1.59 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Power_Opower__class_Opower( X, c_Rings_Oinverse__class_Odivide( X, T, Y
% 0.97/1.59 ), Z ) = c_Rings_Oinverse__class_Odivide( X,
% 0.97/1.59 c_Power_Opower__class_Opower( X, T, Z ), c_Power_Opower__class_Opower( X
% 0.97/1.59 , Y, Z ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ), alpha8( X, Y
% 0.97/1.59 ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ), alpha37( X,
% 0.97/1.59 Y ) }.
% 0.97/1.59 { ! alpha8( X, Y ), ! alpha37( X, Y ), c_Orderings_Oord__class_Oless__eq(
% 0.97/1.59 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ) }.
% 0.97/1.59 { ! alpha37( X, Y ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), alpha37( X, Y ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), alpha37( X, Y ) }.
% 0.97/1.59 { ! alpha8( X, Y ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y
% 0.97/1.59 , c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), alpha8( X, Y ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), alpha8( X, Y ) }.
% 0.97/1.59 { ! c_Complex_Ocomplex_OComplex( Z, Y ) = c_Int_Onumber__class_Onumber__of
% 0.97/1.59 ( tc_Complex_Ocomplex, X ), Z = c_Int_Onumber__class_Onumber__of(
% 0.97/1.59 tc_RealDef_Oreal, X ) }.
% 0.97/1.59 { ! c_Complex_Ocomplex_OComplex( Z, Y ) = c_Int_Onumber__class_Onumber__of
% 0.97/1.59 ( tc_Complex_Ocomplex, X ), Y = c_Groups_Ozero__class_Ozero(
% 0.97/1.59 tc_RealDef_Oreal ) }.
% 0.97/1.59 { ! Z = c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, X ), ! Y =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.59 c_Complex_Ocomplex_OComplex( Z, Y ) = c_Int_Onumber__class_Onumber__of(
% 0.97/1.59 tc_Complex_Ocomplex, X ) }.
% 0.97/1.59 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, Y ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ), hAPP( Z, Y
% 0.97/1.59 ) ), c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y ) ), Y ) ) =
% 0.97/1.59 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ), hAPP( Z, Y
% 0.97/1.59 ) ), c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y ) ), X ) ) }
% 0.97/1.59 .
% 0.97/1.59 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.97/1.59 X, Z ) ) = Y, alpha38( X, Y, Z, T ) }.
% 0.97/1.59 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.97/1.59 X, Z ) ) = Y, alpha9( X, Y, Z ) }.
% 0.97/1.59 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.97/1.59 alpha38( X, Y, Z, T ), ! alpha9( X, Y, Z ),
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.97/1.59 X, Z ) ) = Y }.
% 0.97/1.59 { ! alpha38( X, Y, Z, T ), c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), T = c_Groups_Otimes__class_Otimes( X, Y
% 0.97/1.59 , c_Int_Onumber__class_Onumber__of( X, Z ) ) }.
% 0.97/1.59 { ! c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero
% 0.97/1.59 ( X ), alpha38( X, Y, Z, T ) }.
% 0.97/1.59 { ! T = c_Groups_Otimes__class_Otimes( X, Y,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha38( X, Y, Z, T ) }.
% 0.97/1.59 { ! alpha9( X, Y, Z ), ! c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.97/1.59 .
% 0.97/1.59 { c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero( X
% 0.97/1.59 ), alpha9( X, Y, Z ) }.
% 0.97/1.59 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha9( X, Y, Z ) }.
% 0.97/1.59 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( X, T, Z ) =
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, Y ), alpha39( X, Y, Z, T ) }.
% 0.97/1.59 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( X, T, Z ) =
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, Y ), alpha10( X, Y, Z ) }.
% 0.97/1.59 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.97/1.59 alpha39( X, Y, Z, T ), ! alpha10( X, Y, Z ),
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( X, T, Z ) =
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.97/1.59 { ! alpha39( X, Y, Z, T ), Z = c_Groups_Ozero__class_Ozero( X ), T =
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.59 ), Z ) }.
% 0.97/1.59 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha39( X, Y, Z, T ) }.
% 0.97/1.59 { ! T = c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of
% 0.97/1.59 ( X, Y ), Z ), alpha39( X, Y, Z, T ) }.
% 0.97/1.59 { ! alpha10( X, Y, Z ), ! Z = c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.97/1.59 ) }.
% 0.97/1.59 { Z = c_Groups_Ozero__class_Ozero( X ), alpha10( X, Y, Z ) }.
% 0.97/1.59 { ! c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero
% 0.97/1.59 ( X ), alpha10( X, Y, Z ) }.
% 0.97/1.59 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, T ) =
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha40( X, Y, Z, T ) }.
% 0.97/1.59 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, T ) =
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha11( X, Y, T ) }.
% 0.97/1.59 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.97/1.59 alpha40( X, Y, Z, T ), ! alpha11( X, Y, T ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, T ) =
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.97/1.59 { ! alpha40( X, Y, Z, T ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.97/1.59 ), Y ) = Z }.
% 0.97/1.59 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha40( X, Y, Z, T ) }.
% 0.97/1.59 { ! c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.59 T ), Y ) = Z, alpha40( X, Y, Z, T ) }.
% 0.97/1.59 { ! alpha11( X, Y, Z ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero( X
% 0.97/1.59 ) }.
% 0.97/1.59 { Y = c_Groups_Ozero__class_Ozero( X ), alpha11( X, Y, Z ) }.
% 0.97/1.59 { ! c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero
% 0.97/1.59 ( X ), alpha11( X, Y, Z ) }.
% 0.97/1.59 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), ! T
% 0.97/1.59 = c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of
% 0.97/1.59 ( X, Y ) ), alpha41( X, Y, Z, T ) }.
% 0.97/1.59 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), ! T
% 0.97/1.59 = c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of
% 0.97/1.59 ( X, Y ) ), alpha12( X, Y, T ) }.
% 0.97/1.59 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.97/1.59 alpha41( X, Y, Z, T ), ! alpha12( X, Y, T ), T =
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.97/1.59 X, Y ) ) }.
% 0.97/1.59 { ! alpha41( X, Y, Z, T ), c_Int_Onumber__class_Onumber__of( X, Y ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, T,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, Y ) ) = Z }.
% 0.97/1.59 { ! c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero
% 0.97/1.59 ( X ), alpha41( X, Y, Z, T ) }.
% 0.97/1.59 { ! c_Groups_Otimes__class_Otimes( X, T, c_Int_Onumber__class_Onumber__of(
% 0.97/1.59 X, Y ) ) = Z, alpha41( X, Y, Z, T ) }.
% 0.97/1.59 { ! alpha12( X, Y, Z ), ! c_Int_Onumber__class_Onumber__of( X, Y ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.97/1.59 .
% 0.97/1.59 { c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.97/1.59 ), alpha12( X, Y, Z ) }.
% 0.97/1.59 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha12( X, Y, Z ) }.
% 0.97/1.59 { ! class_RealVector_Oreal__field( X ), c_Rings_Oinverse__class_Odivide( X
% 0.97/1.59 , c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, W,
% 0.97/1.59 U ), c_Groups_Otimes__class_Otimes( X, T, Z ) ), Y ) =
% 0.97/1.59 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W,
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X, U,
% 0.97/1.59 Z ), Y ) ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X, W,
% 0.97/1.59 T ), Y ), Z ) ) }.
% 0.97/1.59 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber__ring( X )
% 0.97/1.59 , c_Rings_Oinverse__class_Odivide( X, Y, c_Int_Onumber__class_Onumber__of
% 0.97/1.59 ( X, c_Int_OPls ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.59 { ! class_Fields_Ofield( X ), ! class_Int_Onumber__ring( X ),
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.97/1.59 X, c_Int_OBit1( c_Int_OPls ) ) ) = Y }.
% 0.97/1.59 { ! class_Fields_Ofield( X ), ! class_Int_Onumber__ring( X ),
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.97/1.59 X, c_Int_OBit1( c_Int_OPls ) ) ) = Y }.
% 0.97/1.59 { c_Groups_Otimes__class_Otimes( tc_Complex_Ocomplex,
% 0.97/1.59 c_Complex_Ocomplex_OComplex( T, Z ), c_Complex_Ocomplex_OComplex( Y, X )
% 0.97/1.59 ) = c_Complex_Ocomplex_OComplex( c_Groups_Ominus__class_Ominus(
% 0.97/1.59 tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, T, Y )
% 0.97/1.59 , c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ) ),
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, T, X ),
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, Y ) ) ) }.
% 0.97/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.59 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.97/1.59 X, Y ) ) ), alpha42( X, Y, Z, T ) }.
% 0.97/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.59 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.97/1.59 X, Y ) ) ), alpha60( X, Y, Z, T ) }.
% 0.97/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.59 class_Int_Onumber( X ), ! alpha42( X, Y, Z, T ), ! alpha60( X, Y, Z, T )
% 0.97/1.59 , c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.59 , Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.97/1.59 { ! alpha60( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.59 ) ), alpha72( X, Y, Z, T ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha60( X, Y, Z, T ) }.
% 0.97/1.59 { ! alpha72( X, Y, Z, T ), alpha60( X, Y, Z, T ) }.
% 0.97/1.59 { ! alpha72( X, Y, Z, T ), alpha84( X, Y, Z, T ) }.
% 0.97/1.59 { ! alpha72( X, Y, Z, T ), alpha13( X, Y, T ) }.
% 0.97/1.59 { ! alpha84( X, Y, Z, T ), ! alpha13( X, Y, T ), alpha72( X, Y, Z, T ) }.
% 0.97/1.59 { ! alpha84( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.59 ) ), c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes
% 0.97/1.59 ( X, T, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.59 ), c_Groups_Ozero__class_Ozero( X ) ), alpha84( X, Y, Z, T ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.59 T, c_Int_Onumber__class_Onumber__of( X, Y ) ) ), alpha84( X, Y, Z, T ) }
% 0.97/1.59 .
% 0.97/1.59 { ! alpha42( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.59 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X
% 0.97/1.59 , T, c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha42( X, Y, Z, T ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ), alpha42( X, Y, Z, T ) }
% 0.97/1.59 .
% 0.97/1.59 { ! alpha13( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.59 ) ), c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.97/1.59 ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.59 Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha13( X, Y, Z ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.59 , alpha13( X, Y, Z ) }.
% 0.97/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.59 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 0.97/1.59 ( X, Z, Y ) ), alpha43( X, Y, Z, T ) }.
% 0.97/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.59 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 0.97/1.59 ( X, Z, Y ) ), alpha61( X, Y, Z, T ) }.
% 0.97/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.59 class_Int_Onumber( X ), ! alpha43( X, Y, Z, T ), ! alpha61( X, Y, Z, T )
% 0.97/1.59 , c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.59 T ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.59 { ! alpha61( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), Y ), alpha73( X, Y, Z, T ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.97/1.59 , alpha61( X, Y, Z, T ) }.
% 0.97/1.59 { ! alpha73( X, Y, Z, T ), alpha61( X, Y, Z, T ) }.
% 0.97/1.59 { ! alpha73( X, Y, Z, T ), alpha85( X, Y, Z, T ) }.
% 0.97/1.59 { ! alpha73( X, Y, Z, T ), alpha14( X, Y, T ) }.
% 0.97/1.59 { ! alpha85( X, Y, Z, T ), ! alpha14( X, Y, T ), alpha73( X, Y, Z, T ) }.
% 0.97/1.59 { ! alpha85( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.97/1.59 ), Y ) ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.59 alpha85( X, Y, Z, T ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, T ), Y ) ), alpha85( X, Y, Z, T ) }
% 0.97/1.59 .
% 0.97/1.59 { ! alpha43( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.97/1.59 ), Y ), Z ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.59 alpha43( X, Y, Z, T ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, T ), Y ), Z ), alpha43( X, Y, Z, T )
% 0.97/1.59 }.
% 0.97/1.59 { ! alpha14( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.59 ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.59 , alpha14( X, Y, Z ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.59 Z ), c_Groups_Ozero__class_Ozero( X ) ), alpha14( X, Y, Z ) }.
% 0.97/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.59 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha44( X, Y, Z, T ) }.
% 0.97/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.59 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha62( X, Y, Z, T ) }.
% 0.97/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.59 class_Int_Onumber( X ), ! alpha44( X, Y, Z, T ), ! alpha62( X, Y, Z, T )
% 0.97/1.59 , c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T
% 0.97/1.59 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.59 { ! alpha62( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), Z ), alpha74( X, Y, Z, T ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.97/1.59 , alpha62( X, Y, Z, T ) }.
% 0.97/1.59 { ! alpha74( X, Y, Z, T ), alpha62( X, Y, Z, T ) }.
% 0.97/1.59 { ! alpha74( X, Y, Z, T ), alpha86( X, Y, Z, T ) }.
% 0.97/1.59 { ! alpha74( X, Y, Z, T ), alpha15( X, Y, Z ) }.
% 0.97/1.59 { ! alpha86( X, Y, Z, T ), ! alpha15( X, Y, Z ), alpha74( X, Y, Z, T ) }.
% 0.97/1.59 { ! alpha86( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.59 ), Z ), T ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.59 alpha86( X, Y, Z, T ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, Y ), Z ), T ), alpha86( X, Y, Z, T )
% 0.97/1.59 }.
% 0.97/1.59 { ! alpha44( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 T, c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.59 , Y ), Z ) ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.97/1.59 alpha44( X, Y, Z, T ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, Y ), Z ) ), alpha44( X, Y, Z, T ) }
% 0.97/1.59 .
% 0.97/1.59 { ! alpha15( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.59 ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.59 , alpha15( X, Y, Z ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha15( X, Y, Z ) }.
% 0.97/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.59 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.97/1.59 X, Z ) ), Y ), alpha45( X, Y, Z, T ) }.
% 0.97/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.59 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.97/1.59 X, Z ) ), Y ), alpha63( X, Y, Z, T ) }.
% 0.97/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.59 class_Int_Onumber( X ), ! alpha45( X, Y, Z, T ), ! alpha63( X, Y, Z, T )
% 0.97/1.59 , c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T
% 0.97/1.59 , c_Int_Onumber__class_Onumber__of( X, Z ) ), Y ) }.
% 0.97/1.59 { ! alpha63( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 0.97/1.59 ) ), alpha75( X, Y, Z, T ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha63( X, Y, Z, T ) }.
% 0.97/1.59 { ! alpha75( X, Y, Z, T ), alpha63( X, Y, Z, T ) }.
% 0.97/1.59 { ! alpha75( X, Y, Z, T ), alpha87( X, Y, Z, T ) }.
% 0.97/1.59 { ! alpha75( X, Y, Z, T ), alpha16( X, Y, Z ) }.
% 0.97/1.59 { ! alpha87( X, Y, Z, T ), ! alpha16( X, Y, Z ), alpha75( X, Y, Z, T ) }.
% 0.97/1.59 { ! alpha87( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.59 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X
% 0.97/1.59 , Y, c_Int_Onumber__class_Onumber__of( X, Z ) ), T ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.97/1.59 ), c_Groups_Ozero__class_Ozero( X ) ), alpha87( X, Y, Z, T ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, Z ) ), T ), alpha87( X, Y, Z, T ) }
% 0.97/1.59 .
% 0.97/1.59 { ! alpha45( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 0.97/1.59 ) ), c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes
% 0.97/1.59 ( X, Y, c_Int_Onumber__class_Onumber__of( X, Z ) ) ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha45( X, Y, Z, T ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.59 Y, c_Int_Onumber__class_Onumber__of( X, Z ) ) ), alpha45( X, Y, Z, T ) }
% 0.97/1.59 .
% 0.97/1.59 { ! alpha16( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.59 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 , Y ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.59 Z ), c_Groups_Ozero__class_Ozero( X ) ), alpha16( X, Y, Z ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.97/1.59 , alpha16( X, Y, Z ) }.
% 0.97/1.59 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ),
% 0.97/1.59 c_Power_Opower__class_Opower( X, Y, c_Groups_Ominus__class_Ominus(
% 0.97/1.59 tc_Nat_Onat, Z, T ) ) = c_Rings_Oinverse__class_Odivide( X,
% 0.97/1.59 c_Power_Opower__class_Opower( X, Y, Z ), c_Power_Opower__class_Opower( X
% 0.97/1.59 , Y, T ) ) }.
% 0.97/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.59 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.97/1.59 X, Y ) ) ), alpha46( X, Y, Z, T ) }.
% 0.97/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.59 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.97/1.59 X, Y ) ) ), alpha64( X, Y, Z, T ) }.
% 0.97/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.59 class_Int_Onumber( X ), ! alpha46( X, Y, Z, T ), ! alpha64( X, Y, Z, T )
% 0.97/1.59 , c_Orderings_Oord__class_Oless__eq( X, T,
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.97/1.59 X, Y ) ) ) }.
% 0.97/1.59 { ! alpha64( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.59 ) ), alpha76( X, Y, Z, T ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha64( X, Y, Z, T ) }.
% 0.97/1.59 { ! alpha76( X, Y, Z, T ), alpha64( X, Y, Z, T ) }.
% 0.97/1.59 { ! alpha76( X, Y, Z, T ), alpha88( X, Y, Z, T ) }.
% 0.97/1.59 { ! alpha76( X, Y, Z, T ), alpha17( X, Y, T ) }.
% 0.97/1.59 { ! alpha88( X, Y, Z, T ), ! alpha17( X, Y, T ), alpha76( X, Y, Z, T ) }.
% 0.97/1.59 { ! alpha88( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.59 ) ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, T, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.59 , Y ) ) ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.59 ), c_Groups_Ozero__class_Ozero( X ) ), alpha88( X, Y, Z, T ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Otimes__class_Otimes
% 0.97/1.59 ( X, T, c_Int_Onumber__class_Onumber__of( X, Y ) ) ), alpha88( X, Y, Z, T
% 0.97/1.59 ) }.
% 0.97/1.59 { ! alpha46( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.59 ) ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes
% 0.97/1.59 ( X, T, c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha46( X, Y, Z, T ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.97/1.59 , T, c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ), alpha46( X, Y, Z, T
% 0.97/1.59 ) }.
% 0.97/1.59 { ! alpha17( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.59 ) ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.59 Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha17( X, Y, Z ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.97/1.59 ) ), alpha17( X, Y, Z ) }.
% 0.97/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.59 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 0.97/1.59 ( X, Z, Y ) ), alpha47( X, Y, Z, T ) }.
% 0.97/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.59 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 0.97/1.59 ( X, Z, Y ) ), alpha65( X, Y, Z, T ) }.
% 0.97/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.59 class_Int_Onumber( X ), ! alpha47( X, Y, Z, T ), ! alpha65( X, Y, Z, T )
% 0.97/1.59 , c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of
% 0.97/1.59 ( X, T ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.59 { ! alpha65( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), Y ), alpha77( X, Y, Z, T ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.97/1.59 , alpha65( X, Y, Z, T ) }.
% 0.97/1.59 { ! alpha77( X, Y, Z, T ), alpha65( X, Y, Z, T ) }.
% 0.97/1.59 { ! alpha77( X, Y, Z, T ), alpha89( X, Y, Z, T ) }.
% 0.97/1.59 { ! alpha77( X, Y, Z, T ), alpha18( X, Y, T ) }.
% 0.97/1.59 { ! alpha89( X, Y, Z, T ), ! alpha18( X, Y, T ), alpha77( X, Y, Z, T ) }.
% 0.97/1.59 { ! alpha89( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.59 , Z, c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of(
% 0.97/1.59 X, T ), Y ) ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.59 alpha89( X, Y, Z, T ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Otimes__class_Otimes
% 0.97/1.59 ( X, c_Int_Onumber__class_Onumber__of( X, T ), Y ) ), alpha89( X, Y, Z, T
% 0.97/1.59 ) }.
% 0.97/1.59 { ! alpha47( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless__eq
% 0.97/1.59 ( X, c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of(
% 0.97/1.59 X, T ), Y ), Z ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.59 alpha47( X, Y, Z, T ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.97/1.59 , c_Int_Onumber__class_Onumber__of( X, T ), Y ), Z ), alpha47( X, Y, Z, T
% 0.97/1.59 ) }.
% 0.97/1.59 { ! alpha18( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.59 , c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero(
% 0.97/1.59 X ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.59 , alpha18( X, Y, Z ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of
% 0.97/1.59 ( X, Z ), c_Groups_Ozero__class_Ozero( X ) ), alpha18( X, Y, Z ) }.
% 0.97/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.59 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha48( X, Y, Z, T ) }.
% 0.97/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.59 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha66( X, Y, Z, T ) }.
% 0.97/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.59 class_Int_Onumber( X ), ! alpha48( X, Y, Z, T ), ! alpha66( X, Y, Z, T )
% 0.97/1.59 , c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide(
% 0.97/1.59 X, T, Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.59 { ! alpha66( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), Z ), alpha78( X, Y, Z, T ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.97/1.59 , alpha66( X, Y, Z, T ) }.
% 0.97/1.59 { ! alpha78( X, Y, Z, T ), alpha66( X, Y, Z, T ) }.
% 0.97/1.59 { ! alpha78( X, Y, Z, T ), alpha90( X, Y, Z, T ) }.
% 0.97/1.59 { ! alpha78( X, Y, Z, T ), alpha19( X, Y, Z ) }.
% 0.97/1.59 { ! alpha90( X, Y, Z, T ), ! alpha19( X, Y, Z ), alpha78( X, Y, Z, T ) }.
% 0.97/1.59 { ! alpha90( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.59 , c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.59 Y ), Z ), T ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.59 alpha90( X, Y, Z, T ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.97/1.59 , c_Int_Onumber__class_Onumber__of( X, Y ), Z ), T ), alpha90( X, Y, Z, T
% 0.97/1.59 ) }.
% 0.97/1.59 { ! alpha48( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless__eq
% 0.97/1.59 ( X, T, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, Y ), Z ) ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.97/1.59 alpha48( X, Y, Z, T ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes
% 0.97/1.59 ( X, c_Int_Onumber__class_Onumber__of( X, Y ), Z ) ), alpha48( X, Y, Z, T
% 0.97/1.59 ) }.
% 0.97/1.59 { ! alpha19( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.59 , c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.59 Y ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.59 , alpha19( X, Y, Z ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 , c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha19( X, Y, Z ) }.
% 0.97/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.59 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.97/1.59 X, Z ) ), Y ), alpha49( X, Y, Z, T ) }.
% 0.97/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.59 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.97/1.59 X, Z ) ), Y ), alpha67( X, Y, Z, T ) }.
% 0.97/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.59 class_Int_Onumber( X ), ! alpha49( X, Y, Z, T ), ! alpha67( X, Y, Z, T )
% 0.97/1.59 , c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide(
% 0.97/1.59 X, T, c_Int_Onumber__class_Onumber__of( X, Z ) ), Y ) }.
% 0.97/1.59 { ! alpha67( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 0.97/1.59 ) ), alpha79( X, Y, Z, T ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha67( X, Y, Z, T ) }.
% 0.97/1.59 { ! alpha79( X, Y, Z, T ), alpha67( X, Y, Z, T ) }.
% 0.97/1.59 { ! alpha79( X, Y, Z, T ), alpha91( X, Y, Z, T ) }.
% 0.97/1.59 { ! alpha79( X, Y, Z, T ), alpha20( X, Y, Z ) }.
% 0.97/1.59 { ! alpha91( X, Y, Z, T ), ! alpha20( X, Y, Z ), alpha79( X, Y, Z, T ) }.
% 0.97/1.59 { ! alpha91( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.59 ) ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes
% 0.97/1.59 ( X, Y, c_Int_Onumber__class_Onumber__of( X, Z ) ), T ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.97/1.59 ), c_Groups_Ozero__class_Ozero( X ) ), alpha91( X, Y, Z, T ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.97/1.59 , Y, c_Int_Onumber__class_Onumber__of( X, Z ) ), T ), alpha91( X, Y, Z, T
% 0.97/1.59 ) }.
% 0.97/1.59 { ! alpha49( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 0.97/1.59 ) ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, Y, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.59 , Z ) ) ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha49( X, Y, Z, T ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes
% 0.97/1.59 ( X, Y, c_Int_Onumber__class_Onumber__of( X, Z ) ) ), alpha49( X, Y, Z, T
% 0.97/1.59 ) }.
% 0.97/1.59 { ! alpha20( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.59 ) ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.97/1.59 X ), Y ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.59 Z ), c_Groups_Ozero__class_Ozero( X ) ), alpha20( X, Y, Z ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 , Y ), alpha20( X, Y, Z ) }.
% 0.97/1.59 { ! Z = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.59 c_Int_OBit1( c_Int_OPls ) ) ), X ) ), c_Groups_Otimes__class_Otimes(
% 0.97/1.59 tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 0.97/1.59 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ), Z ) =
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) }.
% 0.97/1.59 { ! c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.59 c_Int_OBit1( c_Int_OPls ) ) ), Z ) = c_Rings_Oinverse__class_Odivide(
% 0.97/1.59 tc_RealDef_Oreal, Y, X ), Z = c_Rings_Oinverse__class_Odivide(
% 0.97/1.59 tc_RealDef_Oreal, Y, c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.59 c_Int_OBit1( c_Int_OPls ) ) ), X ) ) }.
% 0.97/1.59 { c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.59 c_Int_OBit1( c_Int_OPls ) ) ) ), c_Rings_Oinverse__class_Odivide(
% 0.97/1.59 tc_RealDef_Oreal, X, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 0.97/1.59 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) = X }.
% 0.97/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.59 class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.97/1.59 ) ) ) ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero
% 0.97/1.59 ( X ), Y ) }.
% 0.97/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.59 class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.97/1.59 ) ) ) ) ) }.
% 0.97/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.59 class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.97/1.59 ) ) ) ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y,
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.59 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.59 c_Int_OBit1( c_Int_OPls ) ) ) ), X ) }.
% 0.97/1.59 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.59 c_Int_OBit1( c_Int_OPls ) ) ) ), Y ) = c_Rings_Oinverse__class_Odivide(
% 0.97/1.59 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y )
% 0.97/1.59 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.59 c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.97/1.59 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.59 c_Int_OBit1( c_Int_OPls ) ) ) ), X ) = c_Rings_Oinverse__class_Odivide(
% 0.97/1.59 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X )
% 0.97/1.59 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.60 c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.97/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, c_NthRoot_Osqrt(
% 0.97/1.60 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.60 c_Int_OBit1( c_Int_OPls ) ) ) ) ), X ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.60 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.60 , c_Groups_Otimes__class_Otimes( X, Z, Y ) ),
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.60 , T, Z ), c_Rings_Oinverse__class_Odivide( X, T, Y ) ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field( X ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.97/1.60 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.60 , c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.60 , T, Y ), c_Rings_Oinverse__class_Odivide( X, T, Z ) ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.60 X, Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.60 , T, Y ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.60 c_Groups_Otimes__class_Otimes( X, Z, Y ), T ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.60 X, Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.97/1.60 , Y ), T ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) }.
% 0.97/1.60 { ! class_Fields_Ofield__inverse__zero( X ), c_Groups_Otimes__class_Otimes
% 0.97/1.60 ( X, c_Rings_Oinverse__class_Odivide( X, U, T ),
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( X, c_Groups_Otimes__class_Otimes( X, U,
% 0.97/1.60 Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field__inverse__zero( X ),
% 0.97/1.60 c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Odivide( X, Z, Y )
% 0.97/1.60 ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oabs__class_Oabs( X, Z
% 0.97/1.60 ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ), alpha21( X, Y, Z ), alpha50
% 0.97/1.60 ( X, Y, Z ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha21( X, Y, Z
% 0.97/1.60 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.97/1.60 ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha50( X, Y, Z
% 0.97/1.60 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.97/1.60 ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.60 { ! alpha50( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.60 { ! alpha50( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.97/1.60 ) ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ) ), alpha50( X, Y, Z ) }.
% 0.97/1.60 { ! alpha21( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.97/1.60 { ! alpha21( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.60 , Z ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ), Y ), alpha21( X, Y, Z ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.60 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha22( X, Y, Z ), alpha51
% 0.97/1.60 ( X, Y, Z ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha22( X, Y, Z
% 0.97/1.60 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.97/1.60 ( X, Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha51( X, Y, Z
% 0.97/1.60 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.97/1.60 ( X, Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.60 { ! alpha51( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.60 { ! alpha51( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.97/1.60 ) ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.97/1.60 ( X ), Y ), alpha51( X, Y, Z ) }.
% 0.97/1.60 { ! alpha22( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.97/1.60 { ! alpha22( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.60 , Z ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ) ), alpha22( X, Y, Z ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.97/1.60 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.97/1.60 ( X, Z, T ), c_Rings_Oinverse__class_Odivide( X, Y, T ) ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.60 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.97/1.60 ( X, Y, T ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.60 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( X, Y, T ),
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.60 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( X, Z, T ),
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( X, Y, T ) ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.60 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.97/1.60 ( X, Z, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.97/1.60 ( X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X
% 0.97/1.60 , Y, Z ) ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.60 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.97/1.60 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless
% 0.97/1.60 ( X, c_Rings_Oinverse__class_Odivide( X, Y, Z ),
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.60 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.60 ( X, Z, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.97/1.60 ( X, c_Rings_Oinverse__class_Odivide( X, Y, Z ),
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.60 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.60 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless
% 0.97/1.60 ( X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X
% 0.97/1.60 , Y, Z ) ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Z,
% 0.97/1.60 Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha23( X, Y, Z ), alpha52( X,
% 0.97/1.60 Y, Z ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha23( X, Y, Z
% 0.97/1.60 ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.60 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha52( X, Y, Z
% 0.97/1.60 ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.60 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.60 { ! alpha52( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.60 { ! alpha52( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.60 , ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.60 ), alpha52( X, Y, Z ) }.
% 0.97/1.60 { ! alpha23( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.97/1.60 { ! alpha23( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.97/1.60 , ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.60 ), alpha23( X, Y, Z ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ), alpha24( X, Y, Z ), alpha53
% 0.97/1.60 ( X, Y, Z ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha24( X, Y, Z
% 0.97/1.60 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha53( X, Y, Z
% 0.97/1.60 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.60 { ! alpha53( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.60 { ! alpha53( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.60 , ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.60 ), alpha53( X, Y, Z ) }.
% 0.97/1.60 { ! alpha24( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.97/1.60 { ! alpha24( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.97/1.60 , ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.60 ), alpha24( X, Y, Z ) }.
% 0.97/1.60 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ), ! c_Rings_Oinverse__class_Odivide( X, U
% 0.97/1.60 , Y ) = c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.97/1.60 c_Groups_Otimes__class_Otimes( X, U, Z ) = c_Groups_Otimes__class_Otimes
% 0.97/1.60 ( X, T, Y ) }.
% 0.97/1.60 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ), ! c_Groups_Otimes__class_Otimes( X, U,
% 0.97/1.60 Z ) = c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( X, U, Y ) =
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.97/1.60 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.97/1.60 c_Groups_Otimes__class_Otimes( X, Y, T ), c_Groups_Otimes__class_Otimes(
% 0.97/1.60 X, Y, Z ) ) = c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.97/1.60 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.97/1.60 c_Groups_Otimes__class_Otimes( X, T, Y ), c_Groups_Otimes__class_Otimes(
% 0.97/1.60 X, Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.97/1.60 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y, alpha54( X, Y, Z, T ) }.
% 0.97/1.60 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y, alpha25( X, Y, Z ) }.
% 0.97/1.60 { ! class_Fields_Ofield__inverse__zero( X ), ! alpha54( X, Y, Z, T ), !
% 0.97/1.60 alpha25( X, Y, Z ), c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y }.
% 0.97/1.60 { ! alpha54( X, Y, Z, T ), Z = c_Groups_Ozero__class_Ozero( X ), T =
% 0.97/1.60 c_Groups_Otimes__class_Otimes( X, Y, Z ) }.
% 0.97/1.60 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha54( X, Y, Z, T ) }.
% 0.97/1.60 { ! T = c_Groups_Otimes__class_Otimes( X, Y, Z ), alpha54( X, Y, Z, T ) }.
% 0.97/1.60 { ! alpha25( X, Y, Z ), ! Z = c_Groups_Ozero__class_Ozero( X ), Y =
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.60 { Z = c_Groups_Ozero__class_Ozero( X ), alpha25( X, Y, Z ) }.
% 0.97/1.60 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha25( X, Y, Z ) }.
% 0.97/1.60 { ! class_Fields_Ofield__inverse__zero( X ), ! T =
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha55( X, Y, Z, T ) }.
% 0.97/1.60 { ! class_Fields_Ofield__inverse__zero( X ), ! T =
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha26( X, Y, T ) }.
% 0.97/1.60 { ! class_Fields_Ofield__inverse__zero( X ), ! alpha55( X, Y, Z, T ), !
% 0.97/1.60 alpha26( X, Y, T ), T = c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.97/1.60 { ! alpha55( X, Y, Z, T ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.60 c_Groups_Otimes__class_Otimes( X, T, Y ) = Z }.
% 0.97/1.60 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha55( X, Y, Z, T ) }.
% 0.97/1.60 { ! c_Groups_Otimes__class_Otimes( X, T, Y ) = Z, alpha55( X, Y, Z, T ) }.
% 0.97/1.60 { ! alpha26( X, Y, Z ), ! Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.60 { Y = c_Groups_Ozero__class_Ozero( X ), alpha26( X, Y, Z ) }.
% 0.97/1.60 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha26( X, Y, Z ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.97/1.60 X ), c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.97/1.60 , Y ) ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oabs__class_Oabs(
% 0.97/1.60 X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field( X ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.60 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.60 , Z ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.97/1.60 ( X ), c_Rings_Oinverse__class_Odivide( X, Y, Z ) ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field( X ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.60 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.97/1.60 ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 0.97/1.60 X ) ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.60 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, Y, Z ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.97/1.60 ! c_Orderings_Oord__class_Oless( X, T, U ), c_Orderings_Oord__class_Oless
% 0.97/1.60 ( X, c_Rings_Oinverse__class_Odivide( X, Y, U ),
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field( X ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.60 ), ! c_Orderings_Oord__class_Oless( X, Y, Z ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.97/1.60 ! c_Orderings_Oord__class_Oless__eq( X, T, U ),
% 0.97/1.60 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Y,
% 0.97/1.60 U ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field( X ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.60 ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.97/1.60 ! c_Orderings_Oord__class_Oless__eq( X, T, U ),
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.60 , Y, U ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field( X ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.60 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.60 , Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 0.97/1.60 X ) ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field( X ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.60 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.97/1.60 ) ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.97/1.60 X ), c_Rings_Oinverse__class_Odivide( X, Y, Z ) ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.97/1.60 Z, Y ) ), alpha56( X, Y, Z, T ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.97/1.60 Z, Y ) ), alpha68( X, Y, Z, T ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha56( X, Y, Z
% 0.97/1.60 , T ), ! alpha68( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T,
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.60 { ! alpha68( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ), Y ), alpha80( X, Y, Z, T ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.97/1.60 , alpha68( X, Y, Z, T ) }.
% 0.97/1.60 { ! alpha80( X, Y, Z, T ), alpha68( X, Y, Z, T ) }.
% 0.97/1.60 { ! alpha80( X, Y, Z, T ), alpha92( X, Y, Z, T ) }.
% 0.97/1.60 { ! alpha80( X, Y, Z, T ), alpha27( X, Y, T ) }.
% 0.97/1.60 { ! alpha92( X, Y, Z, T ), ! alpha27( X, Y, T ), alpha80( X, Y, Z, T ) }.
% 0.97/1.60 { ! alpha92( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.60 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.97/1.60 { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.60 alpha92( X, Y, Z, T ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.60 T, Y ) ), alpha92( X, Y, Z, T ) }.
% 0.97/1.60 { ! alpha56( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.60 c_Groups_Otimes__class_Otimes( X, T, Y ), Z ) }.
% 0.97/1.60 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.60 alpha56( X, Y, Z, T ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.97/1.60 Y ), Z ), alpha56( X, Y, Z, T ) }.
% 0.97/1.60 { ! alpha27( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.60 , alpha27( X, Y, Z ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.60 , alpha27( X, Y, Z ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.97/1.60 Z ), Y ), alpha57( X, Y, Z, T ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.97/1.60 Z ), Y ), alpha69( X, Y, Z, T ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha57( X, Y, Z
% 0.97/1.60 , T ), ! alpha69( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( X, T, Z ), Y ) }.
% 0.97/1.60 { ! alpha69( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ), Z ), alpha81( X, Y, Z, T ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.97/1.60 , alpha69( X, Y, Z, T ) }.
% 0.97/1.60 { ! alpha81( X, Y, Z, T ), alpha69( X, Y, Z, T ) }.
% 0.97/1.60 { ! alpha81( X, Y, Z, T ), alpha93( X, Y, Z, T ) }.
% 0.97/1.60 { ! alpha81( X, Y, Z, T ), alpha28( X, Y, Z ) }.
% 0.97/1.60 { ! alpha93( X, Y, Z, T ), ! alpha28( X, Y, Z ), alpha81( X, Y, Z, T ) }.
% 0.97/1.60 { ! alpha93( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.60 c_Groups_Otimes__class_Otimes( X, Y, Z ), T ) }.
% 0.97/1.60 { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.60 alpha93( X, Y, Z, T ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.97/1.60 Z ), T ), alpha93( X, Y, Z, T ) }.
% 0.97/1.60 { ! alpha57( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.60 T, c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.97/1.60 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.97/1.60 alpha57( X, Y, Z, T ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.60 Y, Z ) ), alpha57( X, Y, Z, T ) }.
% 0.97/1.60 { ! alpha28( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.60 , alpha28( X, Y, Z ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.97/1.60 , alpha28( X, Y, Z ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.60 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.60 ( X, T, c_Rings_Oinverse__class_Odivide( X, Z, Y ) ),
% 0.97/1.60 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Y
% 0.97/1.60 ), Z ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.60 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.60 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ), Z ),
% 0.97/1.60 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.97/1.60 Z, Y ) ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.60 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.60 ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ),
% 0.97/1.60 c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.97/1.60 , Y ) ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.60 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.60 ( X, T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ),
% 0.97/1.60 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.97/1.60 Y ), Z ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.60 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.60 ( X, T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ),
% 0.97/1.60 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.97/1.60 Y ), Z ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.60 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.60 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ), Z ),
% 0.97/1.60 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.97/1.60 Z, Y ) ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.60 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.97/1.60 ( X, T, c_Rings_Oinverse__class_Odivide( X, Z, Y ) ),
% 0.97/1.60 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X, T
% 0.97/1.60 , Y ) ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.60 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.97/1.60 ( X, Z, c_Groups_Otimes__class_Otimes( X, T, Y ) ),
% 0.97/1.60 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.97/1.60 Z, Y ) ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.60 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.97/1.60 ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ),
% 0.97/1.60 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.97/1.60 ), T ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.60 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.97/1.60 ( X, c_Groups_Otimes__class_Otimes( X, Z, Y ), T ),
% 0.97/1.60 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.97/1.60 Y ), Z ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.60 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ), T ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.60 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.97/1.60 Z ) ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide
% 0.97/1.60 ( X, T, Y ), c_Rings_Oinverse__class_Odivide( X, T, Z ) ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.60 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.97/1.60 ) ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide(
% 0.97/1.60 X, T, Z ), c_Rings_Oinverse__class_Odivide( X, T, Y ) ) }.
% 0.97/1.60 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( X, U, Y ),
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( X, T, Z ) ) =
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X,
% 0.97/1.60 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.97/1.60 X, T, Y ) ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.97/1.60 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.60 c_Groups_Oplus__class_Oplus( X, c_Rings_Oinverse__class_Odivide( X, T, Y
% 0.97/1.60 ), Z ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus
% 0.97/1.60 ( X, T, c_Groups_Otimes__class_Otimes( X, Y, Z ) ), Y ) }.
% 0.97/1.60 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) =
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.97/1.60 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), Y ) }.
% 0.97/1.60 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.60 c_Groups_Oplus__class_Oplus( X, T, c_Rings_Oinverse__class_Odivide( X, Z
% 0.97/1.60 , Y ) ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus
% 0.97/1.60 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ), Z ), Y ) }.
% 0.97/1.60 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, T,
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.97/1.60 c_Groups_Otimes__class_Otimes( X, T, Y ) ), Y ) }.
% 0.97/1.60 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ominus__class_Ominus( X,
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( X, U, Y ),
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( X, T, Z ) ) =
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X,
% 0.97/1.60 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.97/1.60 X, T, Y ) ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.97/1.60 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.60 c_Groups_Ominus__class_Ominus( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.97/1.60 Y ), Z ) = c_Rings_Oinverse__class_Odivide( X,
% 0.97/1.60 c_Groups_Ominus__class_Ominus( X, T, c_Groups_Otimes__class_Otimes( X, Y
% 0.97/1.60 , Z ) ), Y ) }.
% 0.97/1.60 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.60 c_Groups_Ominus__class_Ominus( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.97/1.60 Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X,
% 0.97/1.60 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, Y, T
% 0.97/1.60 ), Z ), Y ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oabs__class_Oabs( X, Z ), Y
% 0.97/1.60 ) = c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.97/1.60 , Y ) ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.97/1.60 ( X, Z, Y ) ), alpha58( X, Y, Z, T ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.97/1.60 ( X, Z, Y ) ), alpha70( X, Y, Z, T ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha58( X, Y, Z
% 0.97/1.60 , T ), ! alpha70( X, Y, Z, T ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.60 { ! alpha70( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ), Y ), alpha82( X, Y, Z, T ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.97/1.60 , alpha70( X, Y, Z, T ) }.
% 0.97/1.60 { ! alpha82( X, Y, Z, T ), alpha70( X, Y, Z, T ) }.
% 0.97/1.60 { ! alpha82( X, Y, Z, T ), alpha94( X, Y, Z, T ) }.
% 0.97/1.60 { ! alpha82( X, Y, Z, T ), alpha29( X, Y, T ) }.
% 0.97/1.60 { ! alpha94( X, Y, Z, T ), ! alpha29( X, Y, T ), alpha82( X, Y, Z, T ) }.
% 0.97/1.60 { ! alpha94( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.60 , Z, c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.97/1.60 { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.60 alpha94( X, Y, Z, T ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Otimes__class_Otimes
% 0.97/1.60 ( X, T, Y ) ), alpha94( X, Y, Z, T ) }.
% 0.97/1.60 { ! alpha58( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless__eq
% 0.97/1.60 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ), Z ) }.
% 0.97/1.60 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.60 alpha58( X, Y, Z, T ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.97/1.60 , T, Y ), Z ), alpha58( X, Y, Z, T ) }.
% 0.97/1.60 { ! alpha29( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.60 , Z, c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.60 , alpha29( X, Y, Z ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.97/1.60 ) ), alpha29( X, Y, Z ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.60 , T, Z ), Y ), alpha59( X, Y, Z, T ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.60 , T, Z ), Y ), alpha71( X, Y, Z, T ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha59( X, Y, Z
% 0.97/1.60 , T ), ! alpha71( X, Y, Z, T ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( X, T, Z ), Y ) }.
% 0.97/1.60 { ! alpha71( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ), Z ), alpha83( X, Y, Z, T ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.97/1.60 , alpha71( X, Y, Z, T ) }.
% 0.97/1.60 { ! alpha83( X, Y, Z, T ), alpha71( X, Y, Z, T ) }.
% 0.97/1.60 { ! alpha83( X, Y, Z, T ), alpha95( X, Y, Z, T ) }.
% 0.97/1.60 { ! alpha83( X, Y, Z, T ), alpha30( X, Y, Z ) }.
% 0.97/1.60 { ! alpha95( X, Y, Z, T ), ! alpha30( X, Y, Z ), alpha83( X, Y, Z, T ) }.
% 0.97/1.60 { ! alpha95( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.60 , c_Groups_Otimes__class_Otimes( X, Y, Z ), T ) }.
% 0.97/1.60 { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.60 alpha95( X, Y, Z, T ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.97/1.60 , Y, Z ), T ), alpha95( X, Y, Z, T ) }.
% 0.97/1.60 { ! alpha59( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless__eq
% 0.97/1.60 ( X, T, c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.97/1.60 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.97/1.60 alpha59( X, Y, Z, T ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes
% 0.97/1.60 ( X, Y, Z ) ), alpha59( X, Y, Z, T ) }.
% 0.97/1.60 { ! alpha30( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.60 , c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.60 , alpha30( X, Y, Z ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.60 , Y ), alpha30( X, Y, Z ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.60 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.97/1.60 ( X, Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.60 c_Groups_Otimes__class_Otimes( X, T, Y ), Z ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.60 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 0.97/1.60 , Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.60 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.60 , T, Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.97/1.60 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.60 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes( X
% 0.97/1.60 , Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.60 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes( X
% 0.97/1.60 , Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.60 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 0.97/1.60 , Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.60 X, Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.97/1.60 ( X, Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.97/1.60 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.60 X, Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Otimes__class_Otimes( X
% 0.97/1.60 , T, Y ) ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.60 { c_Complex_Ocomplex_Ocomplex__size( c_Complex_Ocomplex_OComplex( Y, X ) )
% 0.97/1.60 = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.60 { c_Nat_Osize__class_Osize( tc_Complex_Ocomplex,
% 0.97/1.60 c_Complex_Ocomplex_OComplex( Y, X ) ) = c_Groups_Ozero__class_Ozero(
% 0.97/1.60 tc_Nat_Onat ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, v_N1____, X ),
% 0.97/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.60 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.97/1.60 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, v_g____( hAPP(
% 0.97/1.60 v_f____, X ) ), v_z____ ) ), v_d____ ) }.
% 0.97/1.60 { c_Complex_Ocomplex_Ocomplex__rec( T, Z, c_Complex_Ocomplex_OComplex( Y, X
% 0.97/1.60 ) ) = hAPP( hAPP( Z, Y ), X ) }.
% 0.97/1.60 { c_SEQ_Osubseq( v_f____ ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, skol6( X ), Y ),
% 0.97/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.60 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.97/1.60 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, v_g____( hAPP(
% 0.97/1.60 v_f____, Y ) ), v_z____ ) ), X ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, skol7, X ),
% 0.97/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.60 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.97/1.60 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, v_g____( hAPP(
% 0.97/1.60 v_f____, X ) ), v_z____ ) ), v_d____ ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, skol8, X ),
% 0.97/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.60 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.97/1.60 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, v_g____( hAPP(
% 0.97/1.60 v_f____, X ) ), v_z____ ) ), v_d____ ) }.
% 0.97/1.60 { ! c_SEQ_Osubseq( X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.97/1.60 hAPP( X, Y ) ) }.
% 0.97/1.60 { ! c_SEQ_Osubseq( X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z
% 0.97/1.60 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X, Y ), hAPP( X, Z
% 0.97/1.60 ) ) }.
% 0.97/1.60 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, skol9( X ), skol12( X ) ),
% 0.97/1.60 c_SEQ_Osubseq( X ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X, skol9( X ) ), hAPP
% 0.97/1.60 ( X, skol12( X ) ) ), c_SEQ_Osubseq( X ) }.
% 0.97/1.60 { c_Complex_Ocomplex_Ocomplex__case( T, Z, c_Complex_Ocomplex_OComplex( Y,
% 0.97/1.60 X ) ) = hAPP( hAPP( Z, Y ), X ) }.
% 0.97/1.60 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.60 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, c_NthRoot_Osqrt(
% 0.97/1.60 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.60 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.97/1.60 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.60 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.97/1.60 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.60 c_Int_OPls ) ) ) ) ) ) ) ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal )
% 0.97/1.60 ) }.
% 0.97/1.60 { ! class_RealVector_Oreal__normed__algebra__1( X ),
% 0.97/1.60 c_RealVector_Onorm__class_Onorm( X, c_Groups_Oone__class_Oone( X ) ) =
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.97/1.60 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X, Y
% 0.97/1.60 , c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.97/1.60 { ! class_Rings_Olinordered__semidom( X ),
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.60 c_Groups_Oone__class_Oone( X ) ) }.
% 0.97/1.60 { ! class_Rings_Olinordered__semidom( X ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.60 { ! class_Power_Opower( X ), ! Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat
% 0.97/1.60 ), c_Power_Opower__class_Opower( X, Y, Z ) = c_Groups_Oone__class_Oone(
% 0.97/1.60 X ) }.
% 0.97/1.60 { ! class_Power_Opower( X ), Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.97/1.60 , c_Power_Opower__class_Opower( X, Y, Z ) = c_Groups_Otimes__class_Otimes
% 0.97/1.60 ( X, Y, c_Power_Opower__class_Opower( X, Y, c_Groups_Ominus__class_Ominus
% 0.97/1.60 ( tc_Nat_Onat, Z, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) ) }.
% 0.97/1.60 { ! c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) =
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.97/1.60 { ! class_Rings_Ozero__neq__one( X ), ! c_Groups_Ozero__class_Ozero( X ) =
% 0.97/1.60 c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.60 { ! class_Rings_Ozero__neq__one( X ), ! c_Groups_Oone__class_Oone( X ) =
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.60 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.60 Y, c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.97/1.60 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.60 c_Groups_Oone__class_Oone( X ), Y ) = Y }.
% 0.97/1.60 { ! class_Groups_Omonoid__mult( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.60 c_Groups_Oone__class_Oone( X ), Y ) = Y }.
% 0.97/1.60 { ! class_Groups_Ocomm__monoid__mult( X ), c_Groups_Otimes__class_Otimes( X
% 0.97/1.60 , c_Groups_Oone__class_Oone( X ), Y ) = Y }.
% 0.97/1.60 { ! class_Groups_Omonoid__mult( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.97/1.60 c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.97/1.60 { ! class_Groups_Ocomm__monoid__mult( X ), c_Groups_Otimes__class_Otimes( X
% 0.97/1.60 , Y, c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.97/1.60 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) = X }.
% 0.97/1.60 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.97/1.60 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.97/1.60 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.60 ( X, c_Groups_Oone__class_Oone( X ), c_Groups_Ozero__class_Ozero( X ) ) }
% 0.97/1.60 .
% 0.97/1.60 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.60 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.60 ( X, c_Groups_Oone__class_Oone( X ), Z ), c_Orderings_Oord__class_Oless(
% 0.97/1.60 X, c_Groups_Oone__class_Oone( X ), c_Groups_Otimes__class_Otimes( X, Y, Z
% 0.97/1.60 ) ) }.
% 0.97/1.60 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.97/1.60 , Y, c_Groups_Oplus__class_Oplus( X, Y, c_Groups_Oone__class_Oone( X ) )
% 0.97/1.60 ) }.
% 0.97/1.60 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.60 c_Groups_Otimes__class_Otimes( X, Z, Y ), Y ) =
% 0.97/1.60 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.97/1.60 c_Groups_Oone__class_Oone( X ) ), Y ) }.
% 0.97/1.60 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Z
% 0.97/1.60 , c_Groups_Otimes__class_Otimes( X, Y, Z ) ) =
% 0.97/1.60 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, Y,
% 0.97/1.60 c_Groups_Oone__class_Oone( X ) ), Z ) }.
% 0.97/1.60 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.97/1.60 , Y ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X
% 0.97/1.60 , c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ), Y ) }
% 0.97/1.60 .
% 0.97/1.60 { ! class_Rings_Olinordered__semidom( X ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ), Y )
% 0.97/1.60 , c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.97/1.60 c_Power_Opower__class_Opower( X, Y, Z ) ) }.
% 0.97/1.60 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.60 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Power_Opower__class_Opower
% 0.97/1.60 ( X, Y, T ) = c_Power_Opower__class_Opower( X, Y, Z ), T = Z }.
% 0.97/1.60 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.60 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! T = Z,
% 0.97/1.60 c_Power_Opower__class_Opower( X, Y, T ) = c_Power_Opower__class_Opower( X
% 0.97/1.60 , Y, Z ) }.
% 0.97/1.60 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.60 , ! c_Rings_Oinverse__class_Odivide( X, Z, Y ) =
% 0.97/1.60 c_Groups_Oone__class_Oone( X ), Z = Y }.
% 0.97/1.60 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.60 , ! Z = Y, c_Rings_Oinverse__class_Odivide( X, Z, Y ) =
% 0.97/1.60 c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.60 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.60 , c_Rings_Oinverse__class_Odivide( X, Y, Y ) = c_Groups_Oone__class_Oone
% 0.97/1.60 ( X ) }.
% 0.97/1.60 { ! class_Rings_Odivision__ring__inverse__zero( X ), ! Y =
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.97/1.60 Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.60 { ! class_Rings_Odivision__ring__inverse__zero( X ), Y =
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.97/1.60 Y ) = c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.60 { ! class_Power_Opower( X ), c_Power_Opower__class_Opower( X, Y,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) = c_Groups_Oone__class_Oone
% 0.97/1.60 ( X ) }.
% 0.97/1.60 { ! class_Rings_Ocomm__semiring__1( X ), c_Power_Opower__class_Opower( X, Y
% 0.97/1.60 , c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 0.97/1.60 c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.60 { ! class_Fields_Ofield__inverse__zero( X ),
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X ),
% 0.97/1.60 c_Power_Opower__class_Opower( X, Z, Y ) ) = c_Power_Opower__class_Opower
% 0.97/1.60 ( X, c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X ),
% 0.97/1.60 Z ), Y ) }.
% 0.97/1.60 { ! class_Groups_Oone( X ), ! c_Groups_Oone__class_Oone( X ) = Y, Y =
% 0.97/1.60 c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.60 { ! class_Groups_Oone( X ), ! Y = c_Groups_Oone__class_Oone( X ),
% 0.97/1.60 c_Groups_Oone__class_Oone( X ) = Y }.
% 0.97/1.60 { ! c_NthRoot_Osqrt( X ) = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X
% 0.97/1.60 = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.97/1.60 { ! X = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X )
% 0.97/1.60 = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.97/1.60 { c_NthRoot_Osqrt( c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) =
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.97/1.60 { ! class_Rings_Olinordered__idom( X ), c_Groups_Oabs__class_Oabs( X,
% 0.97/1.60 c_Groups_Oone__class_Oone( X ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.60 { ! class_Groups_Omonoid__mult( X ), c_Power_Opower__class_Opower( X,
% 0.97/1.60 c_Groups_Oone__class_Oone( X ), Y ) = c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ),
% 0.97/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ),
% 0.97/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.97/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.97/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ),
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ),
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_NthRoot_Osqrt( X
% 0.97/1.60 ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_NthRoot_Osqrt( X )
% 0.97/1.60 , c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ),
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ) }.
% 0.97/1.60 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.97/1.60 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.97/1.60 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Oone__class_Oone
% 0.97/1.60 ( X ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.60 c_Groups_Otimes__class_Otimes( X, Z, Y ), Y ) }.
% 0.97/1.60 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.97/1.60 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.97/1.60 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Oone__class_Oone
% 0.97/1.60 ( X ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.60 c_Groups_Otimes__class_Otimes( X, Y, Z ), Y ) }.
% 0.97/1.60 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.97/1.60 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.60 c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ) ) }.
% 0.97/1.60 { ! class_Rings_Oring__1( X ), c_Groups_Ominus__class_Ominus( X,
% 0.97/1.60 c_Groups_Otimes__class_Otimes( X, Y, Y ), c_Groups_Oone__class_Oone( X )
% 0.97/1.60 ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.97/1.60 , c_Groups_Oone__class_Oone( X ) ), c_Groups_Ominus__class_Ominus( X, Y,
% 0.97/1.60 c_Groups_Oone__class_Oone( X ) ) ) }.
% 0.97/1.60 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.60 ( X, c_Groups_Oone__class_Oone( X ), Y ), c_Orderings_Oord__class_Oless(
% 0.97/1.60 X, c_Groups_Oone__class_Oone( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.97/1.60 c_Power_Opower__class_Opower( X, Y, Z ) ) ) }.
% 0.97/1.60 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.60 ( X, c_Groups_Oone__class_Oone( X ), Y ), c_Orderings_Oord__class_Oless(
% 0.97/1.60 X, c_Power_Opower__class_Opower( X, Y, Z ), c_Groups_Otimes__class_Otimes
% 0.97/1.60 ( X, Y, c_Power_Opower__class_Opower( X, Y, Z ) ) ) }.
% 0.97/1.60 { ! class_Power_Opower( X ), ! class_Rings_Osemiring__0( X ), ! Y =
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.97/1.60 ( X, c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Oone__class_Oone( X
% 0.97/1.60 ) }.
% 0.97/1.60 { ! class_Power_Opower( X ), ! class_Rings_Osemiring__0( X ), Y =
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.97/1.60 ( X, c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero
% 0.97/1.60 ( X ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.60 X, Z, Y ), c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.97/1.60 ), c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.97/1.60 c_Groups_Oone__class_Oone( X ) ) ) ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.60 X, Z, Y ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.97/1.60 ), c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.97/1.60 c_Groups_Oone__class_Oone( X ) ) ), Y ) }.
% 0.97/1.60 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.60 c_Int_OBit1( Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.97/1.60 c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.97/1.60 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.97/1.60 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.60 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.60 ( tc_Nat_Onat, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.60 c_Groups_Oone__class_Oone( X ), T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.60 c_Power_Opower__class_Opower( X, T, Z ), c_Power_Opower__class_Opower( X
% 0.97/1.60 , T, Y ) ) }.
% 0.97/1.60 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.60 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.60 ( X, c_Power_Opower__class_Opower( X, Y, T ),
% 0.97/1.60 c_Power_Opower__class_Opower( X, Y, Z ) ), c_Orderings_Oord__class_Oless
% 0.97/1.60 ( tc_Nat_Onat, T, Z ) }.
% 0.97/1.60 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.60 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.60 ( X, c_Power_Opower__class_Opower( X, Y, T ),
% 0.97/1.60 c_Power_Opower__class_Opower( X, Y, Z ) ), c_Orderings_Oord__class_Oless
% 0.97/1.60 ( tc_Nat_Onat, T, Z ) }.
% 0.97/1.60 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.60 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.60 ( tc_Nat_Onat, T, Z ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.60 c_Power_Opower__class_Opower( X, Y, T ), c_Power_Opower__class_Opower( X
% 0.97/1.60 , Y, Z ) ) }.
% 0.97/1.60 { ! class_Rings_Olinordered__semidom( X ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ), T )
% 0.97/1.60 , c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X,
% 0.97/1.60 T, Z ), c_Power_Opower__class_Opower( X, T, Y ) ) }.
% 0.97/1.60 { ! class_Int_Onumber__ring( X ), c_Groups_Oone__class_Oone( X ) =
% 0.97/1.60 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ) }.
% 0.97/1.60 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.60 c_Int_OBit1( c_Int_OPls ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.60 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs
% 0.97/1.60 ( tc_RealDef_Oreal, X ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) )
% 0.97/1.60 , X ) }.
% 0.97/1.60 { ! class_Rings_Olinordered__semiring__1( X ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, T, Y ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.97/1.60 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.97/1.60 X ), W ), ! c_Groups_Oplus__class_Oplus( X, U, W ) =
% 0.97/1.60 c_Groups_Oone__class_Oone( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.60 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Z )
% 0.97/1.60 , c_Groups_Otimes__class_Otimes( X, W, T ) ), Y ) }.
% 0.97/1.60 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.60 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Oone__class_Oone( X ) ),
% 0.97/1.60 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.97/1.60 c_Power_Opower__class_Opower( X, Y, Z ) ), c_Power_Opower__class_Opower(
% 0.97/1.60 X, Y, Z ) ) }.
% 0.97/1.60 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.60 ( tc_Nat_Onat, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ), T ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.60 , T, c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.60 c_Power_Opower__class_Opower( X, T, Y ), c_Power_Opower__class_Opower( X
% 0.97/1.60 , T, Z ) ) }.
% 0.97/1.60 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.60 c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.97/1.60 c_Groups_Oone__class_Oone( X ) ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.60 ) ) = c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( Y ) ) }.
% 0.97/1.60 { ! class_Rings_Olinordered__semidom( X ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.97/1.60 ), ! c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oone__class_Oone
% 0.97/1.60 ( X ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.60 c_Power_Opower__class_Opower( X, T, Y ), c_Power_Opower__class_Opower( X
% 0.97/1.60 , T, Z ) ) }.
% 0.97/1.60 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.60 ( X, c_Groups_Oone__class_Oone( X ), Y ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X, Y
% 0.97/1.60 , T ), c_Power_Opower__class_Opower( X, Y, Z ) ),
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ) }.
% 0.97/1.60 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.60 ( X, c_Groups_Oone__class_Oone( X ), Y ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ),
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X, Y
% 0.97/1.60 , T ), c_Power_Opower__class_Opower( X, Y, Z ) ) }.
% 0.97/1.60 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.60 ( X, c_Groups_Oone__class_Oone( X ), Y ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X, Y
% 0.97/1.60 , T ), c_Power_Opower__class_Opower( X, Y, Z ) ),
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ) }.
% 0.97/1.60 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.60 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.60 ( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Z ),
% 0.97/1.60 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 0.97/1.60 c_Power_Opower__class_Opower( X, Y, Z ) ) }.
% 0.97/1.60 { ! class_Power_Opower( X ), ! class_Rings_Osemiring__0( X ), !
% 0.97/1.60 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) =
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.97/1.60 ( X, c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of(
% 0.97/1.60 tc_Nat_Onat, Y ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.60 { ! class_Power_Opower( X ), ! class_Rings_Osemiring__0( X ),
% 0.97/1.60 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) =
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.97/1.60 ( X, c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of(
% 0.97/1.60 tc_Nat_Onat, Y ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.60 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.60 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oone__class_Oone
% 0.97/1.60 ( tc_RealDef_Oreal ), c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) )
% 0.97/1.60 ) }.
% 0.97/1.60 { ! class_Rings_Olinordered__semiring__1__strict( X ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.60 ( X, T, Y ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ), U ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), W
% 0.97/1.60 ), ! c_Groups_Oplus__class_Oplus( X, U, W ) = c_Groups_Oone__class_Oone
% 0.97/1.60 ( X ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 0.97/1.60 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.97/1.60 X, W, T ) ), Y ) }.
% 0.97/1.60 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.97/1.60 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 0.97/1.60 , Y ) }.
% 0.97/1.60 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 0.97/1.60 , Y ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X
% 0.97/1.60 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.60 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.60 , Y ), c_Groups_Oone__class_Oone( X ) ),
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OBit1(
% 0.97/1.60 c_Int_OPls ) ) }.
% 0.97/1.60 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OBit1(
% 0.97/1.60 c_Int_OPls ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.60 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Oone__class_Oone( X )
% 0.97/1.60 ) }.
% 0.97/1.60 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.60 c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ) =
% 0.97/1.60 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.97/1.60 ) ) ) }.
% 0.97/1.60 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 0.97/1.60 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.97/1.60 ( tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y ) }.
% 0.97/1.60 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y
% 0.97/1.60 ), c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 0.97/1.60 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.60 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.60 ), c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless(
% 0.97/1.60 tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls ) ) }.
% 0.97/1.60 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls )
% 0.97/1.60 ), c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.60 , Y ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.97/1.60 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.60 c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X, Y )
% 0.97/1.60 ) = c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.97/1.60 tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y ) ) }.
% 0.97/1.60 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.60 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Oone__class_Oone( X )
% 0.97/1.60 ) = c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.97/1.60 tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls ) ) ) }.
% 0.97/1.60 { ! class_Rings_Osemiring__1( X ), c_Power_Opower__class_Opower( X,
% 0.97/1.60 c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of(
% 0.97/1.60 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) =
% 0.97/1.60 c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.60 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ),
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.97/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.60 c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.97/1.60 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.60 c_Int_OPls ) ) ) ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.97/1.60 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ),
% 0.97/1.60 c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.97/1.60 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.60 c_Int_OBit1( c_Int_OPls ) ) ), X ) ) }.
% 0.97/1.60 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_NthRoot_Osqrt(
% 0.97/1.60 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.60 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.97/1.60 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.60 class_Int_Onumber__ring( X ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.97/1.60 c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.60 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.97/1.60 { c_Transcendental_Oarctan( X ) = c_Groups_Otimes__class_Otimes(
% 0.97/1.60 tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 0.97/1.60 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ), c_Transcendental_Oarctan(
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X,
% 0.97/1.60 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oone__class_Oone
% 0.97/1.60 ( tc_RealDef_Oreal ), c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus(
% 0.97/1.60 tc_RealDef_Oreal, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ),
% 0.97/1.60 c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.97/1.60 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.60 c_Int_OPls ) ) ) ) ) ) ) ) ) ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.60 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ),
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.60 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ),
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.97/1.60 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Transcendental_Oarctan(
% 0.97/1.60 X ), c_Transcendental_Oarctan( Y ) ) = c_Transcendental_Oarctan(
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.60 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X, Y ),
% 0.97/1.60 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ),
% 0.97/1.60 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) ) ) }.
% 0.97/1.60 { c_Transcendental_Oarctan( c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal )
% 0.97/1.60 ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.60 { ! c_Groups_Ozero__class_Ozero( tc_Int_Oint ) = c_Groups_Oone__class_Oone
% 0.97/1.60 ( tc_Int_Oint ) }.
% 0.97/1.60 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Oone__class_Oone(
% 0.97/1.60 tc_Nat_Onat ), X ) = X }.
% 0.97/1.60 { ! c_Groups_Oone__class_Oone( tc_Nat_Onat ) =
% 0.97/1.60 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ), Y =
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.97/1.60 { ! c_Groups_Oone__class_Oone( tc_Nat_Onat ) =
% 0.97/1.60 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ), X =
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.97/1.60 { ! Y = c_Groups_Oone__class_Oone( tc_Nat_Onat ), ! X =
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_Nat_Onat ), c_Groups_Oone__class_Oone(
% 0.97/1.60 tc_Nat_Onat ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) }.
% 0.97/1.60 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, c_Groups_Oone__class_Oone
% 0.97/1.60 ( tc_Nat_Onat ) ) = X }.
% 0.97/1.60 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_Nat_Onat ), Y = c_Groups_Oone__class_Oone(
% 0.97/1.60 tc_Nat_Onat ) }.
% 0.97/1.60 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_Nat_Onat ), X = c_Groups_Oone__class_Oone(
% 0.97/1.60 tc_Nat_Onat ) }.
% 0.97/1.60 { ! Y = c_Groups_Oone__class_Oone( tc_Nat_Onat ), ! X =
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_Nat_Onat ), c_Groups_Otimes__class_Otimes(
% 0.97/1.60 tc_Nat_Onat, Y, X ) = c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.97/1.60 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Oone__class_Oone(
% 0.97/1.60 tc_Int_Oint ), X ) = X }.
% 0.97/1.60 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, c_Groups_Oone__class_Oone
% 0.97/1.60 ( tc_Int_Oint ) ) = X }.
% 0.97/1.60 { ! Y = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ), X =
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_Nat_Onat ), Y = c_Groups_Ozero__class_Ozero
% 0.97/1.60 ( tc_Nat_Onat ) }.
% 0.97/1.60 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oone__class_Oone(
% 0.97/1.60 tc_Int_Oint ) ) }.
% 0.97/1.60 { c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.97/1.60 tc_Int_Oint ), c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 0.97/1.60 { c_Int_OBit1( X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.97/1.60 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oone__class_Oone(
% 0.97/1.60 tc_Int_Oint ), X ), X ) }.
% 0.97/1.60 { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.97/1.60 tc_Int_Oint, c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ) =
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.97/1.60 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.97/1.60 tc_Int_Oint ) ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), Y
% 0.97/1.60 = X }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.97/1.60 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.97/1.60 tc_Int_Oint ) ) ) }.
% 0.97/1.60 { ! Y = X, c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.97/1.60 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.97/1.60 tc_Int_Oint ) ) ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.60 c_Transcendental_Oarctan( Y ), c_Transcendental_Oarctan( X ) ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.97/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_Transcendental_Oarctan
% 0.97/1.60 ( Y ), c_Transcendental_Oarctan( X ) ) }.
% 0.97/1.60 { ! class_Rings_Ocomm__semiring__1( X ), c_Power_Opower__class_Opower( X, Y
% 0.97/1.60 , c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) = Y }.
% 0.97/1.60 { ! class_Groups_Omonoid__mult( X ), c_Power_Opower__class_Opower( X, Y,
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) = Y }.
% 0.97/1.60 { ! c_Groups_Oabs__class_Oabs( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 0.97/1.60 tc_Int_Oint, X, Y ) ) = c_Groups_Oone__class_Oone( tc_Int_Oint ),
% 0.97/1.60 c_Groups_Oabs__class_Oabs( tc_Int_Oint, X ) = c_Groups_Oone__class_Oone(
% 0.97/1.60 tc_Int_Oint ) }.
% 0.97/1.60 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 0.97/1.60 ) = c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.97/1.60 { c_Groups_Oone__class_Oone( tc_Nat_Onat ) =
% 0.97/1.60 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 0.97/1.60 ) }.
% 0.97/1.60 { c_Groups_Oone__class_Oone( tc_Int_Oint ) =
% 0.97/1.60 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 0.97/1.60 ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ),
% 0.97/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.97/1.60 tc_Int_Oint ), X ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.97/1.60 ( tc_Int_Oint ), X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus
% 0.97/1.60 ( tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ),
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.97/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.97/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.97/1.60 tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ),
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.97/1.60 ( tc_Int_Oint ), X ), ! c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y
% 0.97/1.60 ) = c_Groups_Oone__class_Oone( tc_Int_Oint ), X =
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.97/1.60 ( tc_Int_Oint ), X ), ! c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y
% 0.97/1.60 ) = c_Groups_Oone__class_Oone( tc_Int_Oint ), Y =
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.97/1.60 ( tc_Int_Oint ), X ), ! X = c_Groups_Oone__class_Oone( tc_Int_Oint ), ! Y
% 0.97/1.60 = c_Groups_Oone__class_Oone( tc_Int_Oint ),
% 0.97/1.60 c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y ) =
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.97/1.60 { ! c_Complex_Ocomplex_OComplex( Y, X ) = c_Groups_Oone__class_Oone(
% 0.97/1.60 tc_Complex_Ocomplex ), Y = c_Groups_Oone__class_Oone( tc_RealDef_Oreal )
% 0.97/1.60 }.
% 0.97/1.60 { ! c_Complex_Ocomplex_OComplex( Y, X ) = c_Groups_Oone__class_Oone(
% 0.97/1.60 tc_Complex_Ocomplex ), X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal
% 0.97/1.60 ) }.
% 0.97/1.60 { ! Y = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), ! X =
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.60 c_Complex_Ocomplex_OComplex( Y, X ) = c_Groups_Oone__class_Oone(
% 0.97/1.60 tc_Complex_Ocomplex ) }.
% 0.97/1.60 { c_Groups_Oone__class_Oone( tc_Complex_Ocomplex ) =
% 0.97/1.60 c_Complex_Ocomplex_OComplex( c_Groups_Oone__class_Oone( tc_RealDef_Oreal
% 0.97/1.60 ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.60 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.97/1.60 tc_Int_Oint ) ), X ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.60 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.97/1.60 tc_Int_Oint ) ), X ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X )
% 0.97/1.60 }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.60 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.97/1.60 tc_Int_Oint ) ), X ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.97/1.60 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.97/1.60 tc_Int_Oint ) ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X )
% 0.97/1.60 }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.97/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.97/1.60 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.97/1.60 tc_Int_Oint ) ) ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.97/1.60 c_Groups_Ominus__class_Ominus( tc_Int_Oint, X, c_Groups_Oone__class_Oone
% 0.97/1.60 ( tc_Int_Oint ) ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.97/1.60 .
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.97/1.60 c_Groups_Ominus__class_Ominus( tc_Int_Oint, X, c_Groups_Oone__class_Oone
% 0.97/1.60 ( tc_Int_Oint ) ) ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oabs__class_Oabs(
% 0.97/1.60 tc_Int_Oint, X ), c_Groups_Oone__class_Oone( tc_Int_Oint ) ), X =
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.97/1.60 { ! X = c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.97/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oabs__class_Oabs(
% 0.97/1.60 tc_Int_Oint, X ), c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 0.97/1.60 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.97/1.60 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.60 { Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.97/1.60 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.97/1.60 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.97/1.60 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.97/1.60 ( tc_Nat_Onat, Y, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ), X ) ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ),
% 0.97/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.97/1.60 tc_Int_Oint ), c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ) ) }.
% 0.97/1.60 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.97/1.60 c_Power_Opower__class_Opower( tc_Nat_Onat, X, Y ) =
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.97/1.60 { Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.97/1.60 c_Power_Opower__class_Opower( tc_Nat_Onat, X, Y ) =
% 0.97/1.60 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X,
% 0.97/1.60 c_Power_Opower__class_Opower( tc_Nat_Onat, X,
% 0.97/1.60 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, c_Groups_Oone__class_Oone
% 0.97/1.60 ( tc_Nat_Onat ) ) ) ) }.
% 0.97/1.60 { ! class_Groups_Omonoid__mult( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.60 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ),
% 0.97/1.60 c_Groups_Otimes__class_Otimes( X, c_Power_Opower__class_Opower( X, Z,
% 0.97/1.60 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, c_Groups_Oone__class_Oone
% 0.97/1.60 ( tc_Nat_Onat ) ) ), Z ) = c_Power_Opower__class_Opower( X, Z, Y ) }.
% 0.97/1.60 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Oone__class_Oone(
% 0.97/1.60 tc_Nat_Onat ), c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) =
% 0.97/1.60 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.60 c_Int_OPls ) ) ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.97/1.60 ( tc_Int_Oint ), X ), ! X = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z,
% 0.97/1.60 c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y ) ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, X ),
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Groups_Oone__class_Oone
% 0.97/1.60 ( tc_Int_Oint ), Y ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.97/1.60 ( tc_Int_Oint ), X ), ! X = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z,
% 0.97/1.60 c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y ) ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Z ),
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.97/1.60 ( tc_Int_Oint ), X ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.97/1.60 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Z,
% 0.97/1.60 c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.97/1.60 tc_Int_Oint, c_Groups_Oabs__class_Oabs( tc_Int_Oint,
% 0.97/1.60 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Z, Y ) ),
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_Int_Oint ) ), X ) ), Y ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.97/1.60 ( tc_Int_Oint ), X ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Z,
% 0.97/1.60 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 0.97/1.60 c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.97/1.60 tc_Int_Oint, c_Groups_Oabs__class_Oabs( tc_Int_Oint,
% 0.97/1.60 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, Z ) ),
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_Int_Oint ) ), X ) ) ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.97/1.60 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.60 c_Int_OPls ) ) ) ), X = c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X =
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.97/1.60 { X = c_Groups_Ozero__class_Ozero( tc_Complex_Ocomplex ), Y =
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Orderings_Oord__class_Oless
% 0.97/1.60 ( tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex
% 0.97/1.60 , c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex,
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_Complex_Ocomplex ),
% 0.97/1.60 c_Groups_Otimes__class_Otimes( tc_Complex_Ocomplex, X,
% 0.97/1.60 c_Power_Opower__class_Opower( tc_Complex_Ocomplex, skol10( X, Y ), Y ) )
% 0.97/1.60 ) ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.97/1.60 { c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.97/1.60 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.60 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) =
% 0.97/1.60 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.60 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.60 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.60 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ), c_Transcendental_Oarctan(
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ),
% 0.97/1.60 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit1(
% 0.97/1.60 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ) ),
% 0.97/1.60 c_Transcendental_Oarctan( c_Rings_Oinverse__class_Odivide(
% 0.97/1.60 tc_RealDef_Oreal, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ),
% 0.97/1.60 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit1(
% 0.97/1.60 c_Int_OBit1( c_Int_OBit1( c_Int_OBit1( c_Int_OBit0( c_Int_OBit1(
% 0.97/1.60 c_Int_OBit1( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ) ) ) ) ) ) ) }.
% 0.97/1.60 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_Transcendental_Opi ) }
% 0.97/1.60 .
% 0.97/1.60 { ! c_Transcendental_Opi = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal )
% 0.97/1.60 }.
% 0.97/1.60 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_Transcendental_Opi ) }
% 0.97/1.60 .
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.97/1.60 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.60 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.60 c_Int_OBit1( c_Int_OPls ) ) ), c_Transcendental_Opi ) }.
% 0.97/1.60 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.97/1.60 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.60 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.97/1.60 { ! c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi
% 0.97/1.60 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.60 c_Int_OBit1( c_Int_OPls ) ) ) ) = c_Int_Onumber__class_Onumber__of(
% 0.97/1.60 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) }.
% 0.97/1.60 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.97/1.60 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.60 c_Int_OBit1( c_Int_OPls ) ) ) ), c_Int_Onumber__class_Onumber__of(
% 0.97/1.60 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.97/1.60 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.97/1.60 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.60 c_Int_OBit1( c_Int_OPls ) ) ) ), c_Int_Onumber__class_Onumber__of(
% 0.97/1.60 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.97/1.60 { ! c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi
% 0.97/1.60 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.60 c_Int_OBit1( c_Int_OPls ) ) ) ) = c_Groups_Ozero__class_Ozero(
% 0.97/1.60 tc_RealDef_Oreal ) }.
% 0.97/1.60 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.97/1.60 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.60 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.97/1.60 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.97/1.60 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.60 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.97/1.60 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_Transcendental_Oarctan
% 0.97/1.60 ( X ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.60 c_Transcendental_Opi, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal
% 0.97/1.60 , c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.97/1.60 { c_Transcendental_Oarctan( c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) )
% 0.97/1.60 = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.60 c_Transcendental_Opi, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal
% 0.97/1.60 , c_Int_OBit0( c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.97/1.60 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.60 c_Transcendental_Oarctan( c_Rings_Oinverse__class_Odivide(
% 0.97/1.60 tc_RealDef_Oreal, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) ) =
% 0.97/1.60 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.60 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.60 c_Groups_Osgn__class_Osgn( tc_RealDef_Oreal, X ), c_Transcendental_Opi )
% 0.97/1.60 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.60 c_Int_OBit1( c_Int_OPls ) ) ) ), c_Transcendental_Oarctan( X ) ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), c_Divides_Odiv__class_Omod
% 0.97/1.60 ( tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_Int_Oint ), c_Groups_Otimes__class_Otimes(
% 0.97/1.60 tc_Int_Oint, c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0(
% 0.97/1.60 c_Int_OBit1( c_Int_OPls ) ) ), Y ) ), c_Groups_Otimes__class_Otimes(
% 0.97/1.60 tc_Int_Oint, c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0(
% 0.97/1.60 c_Int_OBit1( c_Int_OPls ) ) ), X ) ) = c_Groups_Ominus__class_Ominus(
% 0.97/1.60 tc_Int_Oint, c_Groups_Otimes__class_Otimes( tc_Int_Oint,
% 0.97/1.60 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.60 c_Int_OPls ) ) ), c_Divides_Odiv__class_Omod( tc_Int_Oint,
% 0.97/1.60 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.97/1.60 tc_Int_Oint ) ), X ) ), c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 0.97/1.60 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X, Y,
% 0.97/1.60 c_Groups_Oone__class_Oone( X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.60 { ! class_RealVector_Oreal__normed__algebra__1( X ),
% 0.97/1.60 c_Groups_Osgn__class_Osgn( X, c_Groups_Oone__class_Oone( X ) ) =
% 0.97/1.60 c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.97/1.60 ( tc_Int_Oint ), X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Divides_Odiv__class_Omod(
% 0.97/1.60 tc_Int_Oint, Y, X ) ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.97/1.60 ( tc_Int_Oint ), X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Divides_Odiv__class_Omod(
% 0.97/1.60 tc_Int_Oint, Y, X ) ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.97/1.60 ( tc_Int_Oint ), X ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.97/1.60 c_Divides_Odiv__class_Omod( tc_Int_Oint, Y, X ), X ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Y ),
% 0.97/1.60 c_Divides_Odiv__class_Omod( tc_Int_Oint, X, Y ) = X }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.60 c_Divides_Odiv__class_Omod( tc_Int_Oint, Y, X ),
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.60 c_Divides_Odiv__class_Omod( tc_Int_Oint, Y, X ),
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.97/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Divides_Odiv__class_Omod
% 0.97/1.60 ( tc_Int_Oint, Y, X ) ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.60 c_Divides_Odiv__class_Omod( tc_Int_Oint, X, Y ) = X }.
% 0.97/1.60 { ! class_Rings_Olinordered__idom( X ), c_Groups_Oabs__class_Oabs( X, Y ) =
% 0.97/1.60 c_Groups_Otimes__class_Otimes( X, Y, c_Groups_Osgn__class_Osgn( X, Y ) )
% 0.97/1.60 }.
% 0.97/1.60 { ! class_Rings_Olinordered__idom( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.60 c_Groups_Osgn__class_Osgn( X, Y ), c_Groups_Oabs__class_Oabs( X, Y ) ) =
% 0.97/1.60 Y }.
% 0.97/1.60 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.60 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Osgn__class_Osgn( X, Y ) ),
% 0.97/1.60 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ) }
% 0.97/1.60 .
% 0.97/1.60 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.60 , c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X
% 0.97/1.60 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Osgn__class_Osgn( X, Y ) ) }
% 0.97/1.60 .
% 0.97/1.60 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.60 , c_Groups_Osgn__class_Osgn( X, Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.60 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ) }
% 0.97/1.60 .
% 0.97/1.60 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.60 , Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.97/1.60 , c_Groups_Osgn__class_Osgn( X, Y ), c_Groups_Ozero__class_Ozero( X ) ) }
% 0.97/1.60 .
% 0.97/1.60 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.97/1.60 c_Groups_Oplus__class_Oplus( X, Z, Y ), Y ) = c_Divides_Odiv__class_Omod
% 0.97/1.60 ( X, Z, Y ) }.
% 0.97/1.60 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.97/1.60 c_Groups_Oplus__class_Oplus( X, Z, Y ), Z ) = c_Divides_Odiv__class_Omod
% 0.97/1.60 ( X, Y, Z ) }.
% 0.97/1.60 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.97/1.60 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Divides_Odiv__class_Omod
% 0.97/1.60 ( X, c_Groups_Oplus__class_Oplus( X, T, c_Divides_Odiv__class_Omod( X, Z
% 0.97/1.60 , Y ) ), Y ) }.
% 0.97/1.60 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.97/1.60 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Divides_Odiv__class_Omod
% 0.97/1.60 ( X, c_Groups_Oplus__class_Oplus( X, c_Divides_Odiv__class_Omod( X, T, Y
% 0.97/1.60 ), Z ), Y ) }.
% 0.97/1.60 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.97/1.60 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Divides_Odiv__class_Omod
% 0.97/1.60 ( X, c_Groups_Oplus__class_Oplus( X, c_Divides_Odiv__class_Omod( X, T, Y
% 0.97/1.60 ), c_Divides_Odiv__class_Omod( X, Z, Y ) ), Y ) }.
% 0.97/1.60 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.97/1.60 c_Groups_Oplus__class_Oplus( X, T, c_Divides_Odiv__class_Omod( X, Z, Y )
% 0.97/1.60 ), Y ) = c_Divides_Odiv__class_Omod( X, c_Groups_Oplus__class_Oplus( X,
% 0.97/1.60 T, Z ), Y ) }.
% 0.97/1.60 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.97/1.60 c_Groups_Oplus__class_Oplus( X, c_Divides_Odiv__class_Omod( X, T, Z ), Y
% 0.97/1.60 ), Z ) = c_Divides_Odiv__class_Omod( X, c_Groups_Oplus__class_Oplus( X,
% 0.97/1.60 T, Y ), Z ) }.
% 0.97/1.60 { ! class_Divides_Osemiring__div( X ), ! c_Divides_Odiv__class_Omod( X, T,
% 0.97/1.60 Z ) = c_Divides_Odiv__class_Omod( X, Y, Z ), ! c_Divides_Odiv__class_Omod
% 0.97/1.60 ( X, W, Z ) = c_Divides_Odiv__class_Omod( X, U, Z ),
% 0.97/1.60 c_Divides_Odiv__class_Omod( X, c_Groups_Oplus__class_Oplus( X, T, W ), Z
% 0.97/1.60 ) = c_Divides_Odiv__class_Omod( X, c_Groups_Oplus__class_Oplus( X, Y, U
% 0.97/1.60 ), Z ) }.
% 0.97/1.60 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.97/1.60 c_Divides_Odiv__class_Omod( X, Z, Y ), Y ) = c_Divides_Odiv__class_Omod(
% 0.97/1.60 X, Z, Y ) }.
% 0.97/1.60 { c_Divides_Odiv__class_Omod( tc_Int_Oint, c_Power_Opower__class_Opower(
% 0.97/1.60 tc_Int_Oint, c_Divides_Odiv__class_Omod( tc_Int_Oint, Z, Y ), X ), Y ) =
% 0.97/1.60 c_Divides_Odiv__class_Omod( tc_Int_Oint, c_Power_Opower__class_Opower(
% 0.97/1.60 tc_Int_Oint, Z, X ), Y ) }.
% 0.97/1.60 { ! class_Rings_Olinordered__idom( X ), c_Groups_Osgn__class_Osgn( X,
% 0.97/1.60 c_Groups_Osgn__class_Osgn( X, Y ) ) = c_Groups_Osgn__class_Osgn( X, Y ) }
% 0.97/1.60 .
% 0.97/1.60 { ! class_Rings_Olinordered__idom( X ), c_Groups_Osgn__class_Osgn( X,
% 0.97/1.60 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.97/1.60 c_Groups_Otimes__class_Otimes( X, c_Groups_Osgn__class_Osgn( X, Z ),
% 0.97/1.60 c_Groups_Osgn__class_Osgn( X, Y ) ) }.
% 0.97/1.60 { ! class_RealVector_Oreal__normed__div__algebra( X ),
% 0.97/1.60 c_Groups_Osgn__class_Osgn( X, c_Groups_Otimes__class_Otimes( X, Z, Y ) )
% 0.97/1.60 = c_Groups_Otimes__class_Otimes( X, c_Groups_Osgn__class_Osgn( X, Z ),
% 0.97/1.60 c_Groups_Osgn__class_Osgn( X, Y ) ) }.
% 0.97/1.60 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.97/1.60 c_Groups_Osgn__class_Osgn( X, Y ) = c_Groups_Ozero__class_Ozero( X ), Y =
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.60 { ! class_RealVector_Oreal__normed__vector( X ), ! Y =
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ), c_Groups_Osgn__class_Osgn( X, Y ) =
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.60 { ! class_RealVector_Oreal__normed__vector( X ), c_Groups_Osgn__class_Osgn
% 0.97/1.60 ( X, c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X
% 0.97/1.60 ) }.
% 0.97/1.60 { ! class_Rings_Olinordered__idom( X ), ! c_Groups_Osgn__class_Osgn( X, Y )
% 0.97/1.60 = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.60 }.
% 0.97/1.60 { ! class_Rings_Olinordered__idom( X ), ! Y = c_Groups_Ozero__class_Ozero(
% 0.97/1.60 X ), c_Groups_Osgn__class_Osgn( X, Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.60 }.
% 0.97/1.60 { ! class_Groups_Osgn__if( X ), c_Groups_Osgn__class_Osgn( X,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.60 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.97/1.60 c_Groups_Otimes__class_Otimes( X, Z, Y ), Y ) =
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.60 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.97/1.60 c_Groups_Otimes__class_Otimes( X, Z, Y ), Z ) =
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.60 { c_Divides_Odiv__class_Omod( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 0.97/1.60 tc_Int_Oint, Z, Y ), X ) = c_Divides_Odiv__class_Omod( tc_Int_Oint,
% 0.97/1.60 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, c_Divides_Odiv__class_Omod
% 0.97/1.60 ( tc_Int_Oint, Y, X ) ), X ) }.
% 0.97/1.60 { c_Divides_Odiv__class_Omod( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 0.97/1.60 tc_Int_Oint, Z, c_Divides_Odiv__class_Omod( tc_Int_Oint, Y, X ) ), X ) =
% 0.97/1.60 c_Divides_Odiv__class_Omod( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 0.97/1.60 tc_Int_Oint, Z, Y ), X ) }.
% 0.97/1.60 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.97/1.60 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.97/1.60 c_Divides_Odiv__class_Omod( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.97/1.60 c_Divides_Odiv__class_Omod( X, Z, Y ) ), Y ) }.
% 0.97/1.60 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.97/1.60 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.97/1.60 c_Divides_Odiv__class_Omod( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.60 c_Divides_Odiv__class_Omod( X, T, Y ), Z ), Y ) }.
% 0.97/1.60 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.97/1.60 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.97/1.60 c_Divides_Odiv__class_Omod( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.60 c_Divides_Odiv__class_Omod( X, T, Y ), c_Divides_Odiv__class_Omod( X, Z,
% 0.97/1.60 Y ) ), Y ) }.
% 0.97/1.60 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.97/1.60 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Groups_Otimes__class_Otimes(
% 0.97/1.60 X, T, Y ) ) = c_Groups_Otimes__class_Otimes( X, T,
% 0.97/1.60 c_Divides_Odiv__class_Omod( X, Z, Y ) ) }.
% 0.97/1.60 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.97/1.60 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Groups_Otimes__class_Otimes(
% 0.97/1.60 X, Y, Z ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.97/1.60 c_Divides_Odiv__class_Omod( X, T, Y ), Z ) }.
% 0.97/1.60 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.97/1.60 c_Groups_Otimes__class_Otimes( X, c_Divides_Odiv__class_Omod( X, T, Z ),
% 0.97/1.60 Y ), Z ) = c_Divides_Odiv__class_Omod( X, c_Groups_Otimes__class_Otimes(
% 0.97/1.60 X, T, Y ), Z ) }.
% 0.97/1.60 { ! class_Divides_Osemiring__div( X ), ! c_Divides_Odiv__class_Omod( X, T,
% 0.97/1.60 Z ) = c_Divides_Odiv__class_Omod( X, Y, Z ), ! c_Divides_Odiv__class_Omod
% 0.97/1.60 ( X, W, Z ) = c_Divides_Odiv__class_Omod( X, U, Z ),
% 0.97/1.60 c_Divides_Odiv__class_Omod( X, c_Groups_Otimes__class_Otimes( X, T, W ),
% 0.97/1.60 Z ) = c_Divides_Odiv__class_Omod( X, c_Groups_Otimes__class_Otimes( X, Y
% 0.97/1.60 , U ), Z ) }.
% 0.97/1.60 { ! class_Divides_Oring__div( X ), ! c_Divides_Odiv__class_Omod( X, T, Z )
% 0.97/1.60 = c_Divides_Odiv__class_Omod( X, Y, Z ), ! c_Divides_Odiv__class_Omod( X
% 0.97/1.60 , W, Z ) = c_Divides_Odiv__class_Omod( X, U, Z ),
% 0.97/1.60 c_Divides_Odiv__class_Omod( X, c_Groups_Ominus__class_Ominus( X, T, W ),
% 0.97/1.60 Z ) = c_Divides_Odiv__class_Omod( X, c_Groups_Ominus__class_Ominus( X, Y
% 0.97/1.60 , U ), Z ) }.
% 0.97/1.60 { ! class_Divides_Oring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.97/1.60 c_Groups_Ominus__class_Ominus( X, T, Z ), Y ) =
% 0.97/1.60 c_Divides_Odiv__class_Omod( X, c_Groups_Ominus__class_Ominus( X,
% 0.97/1.60 c_Divides_Odiv__class_Omod( X, T, Y ), c_Divides_Odiv__class_Omod( X, Z,
% 0.97/1.60 Y ) ), Y ) }.
% 0.97/1.60 { ! class_Divides_Oring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.97/1.60 c_Groups_Ominus__class_Ominus( X, T, Z ), Y ) =
% 0.97/1.60 c_Divides_Odiv__class_Omod( X, c_Groups_Ominus__class_Ominus( X,
% 0.97/1.60 c_Divides_Odiv__class_Omod( X, T, Y ), Z ), Y ) }.
% 0.97/1.60 { ! class_Divides_Oring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.97/1.60 c_Groups_Ominus__class_Ominus( X, T, Z ), Y ) =
% 0.97/1.60 c_Divides_Odiv__class_Omod( X, c_Groups_Ominus__class_Ominus( X, T,
% 0.97/1.60 c_Divides_Odiv__class_Omod( X, Z, Y ) ), Y ) }.
% 0.97/1.60 { c_Divides_Odiv__class_Omod( tc_Int_Oint, c_Groups_Ominus__class_Ominus(
% 0.97/1.60 tc_Int_Oint, c_Divides_Odiv__class_Omod( tc_Int_Oint, Z, Y ), X ), Y ) =
% 0.97/1.60 c_Divides_Odiv__class_Omod( tc_Int_Oint, c_Groups_Ominus__class_Ominus(
% 0.97/1.60 tc_Int_Oint, Z, X ), Y ) }.
% 0.97/1.60 { c_Divides_Odiv__class_Omod( tc_Int_Oint, c_Groups_Ominus__class_Ominus(
% 0.97/1.60 tc_Int_Oint, Z, c_Divides_Odiv__class_Omod( tc_Int_Oint, Y, X ) ), X ) =
% 0.97/1.60 c_Divides_Odiv__class_Omod( tc_Int_Oint, c_Groups_Ominus__class_Ominus(
% 0.97/1.60 tc_Int_Oint, Z, Y ), X ) }.
% 0.97/1.60 { c_Divides_Odiv__class_Omod( tc_Int_Oint, X, X ) =
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.97/1.60 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X, Y, Y
% 0.97/1.60 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.60 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X, Y,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.97/1.60 { c_Divides_Odiv__class_Omod( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.97/1.60 tc_Int_Oint ), X ) = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.97/1.60 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.60 }.
% 0.97/1.60 { ! c_Divides_Odiv__class_Omod( tc_Int_Oint, Y, X ) =
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y =
% 0.97/1.60 c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, skol11( X, Y ) ) }.
% 0.97/1.60 { ! Y = c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Z ),
% 0.97/1.60 c_Divides_Odiv__class_Omod( tc_Int_Oint, Y, X ) =
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.97/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Divides_Odiv__class_Omod
% 0.97/1.60 ( tc_Int_Oint, Y, X ) ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.97/1.60 ( tc_Int_Oint ), X ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.97/1.60 c_Divides_Odiv__class_Omod( tc_Int_Oint, Y, X ), X ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ),
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.60 c_Divides_Odiv__class_Omod( tc_Int_Oint, X, Y ), X ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ),
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Divides_Odiv__class_Omod(
% 0.97/1.60 tc_Int_Oint, X, Y ) ) }.
% 0.97/1.60 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.97/1.60 c_Groups_Oplus__class_Oplus( X, T, c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.97/1.60 ) ), Z ) = c_Divides_Odiv__class_Omod( X, T, Z ) }.
% 0.97/1.60 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.97/1.60 c_Groups_Oplus__class_Oplus( X, T, c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.97/1.60 ) ), Y ) = c_Divides_Odiv__class_Omod( X, T, Y ) }.
% 0.97/1.60 { c_Groups_Osgn__class_Osgn( tc_RealDef_Oreal, X ) =
% 0.97/1.60 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X,
% 0.97/1.60 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.97/1.60 c_Groups_Osgn__class_Osgn( tc_RealDef_Oreal, X ) =
% 0.97/1.60 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.97/1.60 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.60 , c_Groups_Ozero__class_Ozero( X ), Y ), c_Groups_Osgn__class_Osgn( X, Y
% 0.97/1.60 ) = c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.60 { ! class_Rings_Olinordered__idom( X ), ! c_Groups_Osgn__class_Osgn( X, Y )
% 0.97/1.60 = c_Groups_Oone__class_Oone( X ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.60 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.60 , c_Groups_Ozero__class_Ozero( X ), Y ), c_Groups_Osgn__class_Osgn( X, Y
% 0.97/1.60 ) = c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.97/1.60 ( tc_Int_Oint ), X ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.60 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Y ),
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), c_Divides_Odiv__class_Omod
% 0.97/1.60 ( tc_Int_Oint, X, Y ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Y )
% 0.97/1.60 }.
% 0.97/1.60 { c_Divides_Odiv__class_Omod( tc_Int_Oint, c_Int_Onumber__class_Onumber__of
% 0.97/1.60 ( tc_Int_Oint, c_Int_OBit0( Y ) ), c_Int_Onumber__class_Onumber__of(
% 0.97/1.60 tc_Int_Oint, c_Int_OBit0( X ) ) ) = c_Groups_Otimes__class_Otimes(
% 0.97/1.60 tc_Int_Oint, c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0(
% 0.97/1.60 c_Int_OBit1( c_Int_OPls ) ) ), c_Divides_Odiv__class_Omod( tc_Int_Oint,
% 0.97/1.60 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.97/1.60 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) ) }.
% 0.97/1.60 { ! Z = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.97/1.60 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, T ), X ), alpha98( X, Y )
% 0.97/1.60 , ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ), Y =
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Divides_Odiv__class_Omod(
% 0.97/1.60 tc_Int_Oint, Z, Y ) = X }.
% 0.97/1.60 { ! Z = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.97/1.60 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, T ), X ), alpha98( X, Y )
% 0.97/1.60 , ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), Y =
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Divides_Odiv__class_Omod(
% 0.97/1.60 tc_Int_Oint, Z, Y ) = X }.
% 0.97/1.60 { ! alpha98( X, Y ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ) }.
% 0.97/1.60 { ! alpha98( X, Y ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.97/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Y ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.97/1.60 ( tc_Int_Oint ), Y ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), alpha98( X, Y ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.97/1.60 ( tc_Int_Oint ), Y ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Y )
% 0.97/1.60 , alpha98( X, Y ) }.
% 0.97/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.97/1.60 ( tc_Int_Oint ), X ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, Y
% 0.97/1.60 ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.60 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 0.97/1.60 tc_Int_Oint, Z, c_Divides_Odiv__class_Omod( tc_Int_Oint, T, X ) ), Y ),
% 0.97/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.97/1.60 { ! class_Orderings_Opreorder( X ), class_Orderings_Opreorder( tc_fun( Y, X
% 0.97/1.60 ) ) }.
% 0.97/1.60 { ! class_Orderings_Oorder( X ), class_Orderings_Oorder( tc_fun( Y, X ) ) }
% 0.97/1.60 .
% 0.97/1.60 { ! class_Orderings_Oord( X ), class_Orderings_Oord( tc_fun( Y, X ) ) }.
% 0.97/1.60 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.97/1.60 tc_Int_Oint ) }.
% 0.97/1.60 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_Int_Oint ) }.
% 0.97/1.60 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Int_Oint ) }.
% 0.97/1.60 { class_Rings_Olinordered__comm__semiring__strict( tc_Int_Oint ) }.
% 0.97/1.60 { class_Rings_Olinordered__semiring__1__strict( tc_Int_Oint ) }.
% 0.97/1.60 { class_Rings_Olinordered__semiring__strict( tc_Int_Oint ) }.
% 0.97/1.60 { class_Groups_Oordered__ab__semigroup__add( tc_Int_Oint ) }.
% 0.97/1.60 { class_Groups_Oordered__ab__group__add__abs( tc_Int_Oint ) }.
% 0.97/1.60 { class_Groups_Oordered__comm__monoid__add( tc_Int_Oint ) }.
% 0.97/1.60 { class_Groups_Olinordered__ab__group__add( tc_Int_Oint ) }.
% 0.97/1.60 { class_Groups_Ocancel__ab__semigroup__add( tc_Int_Oint ) }.
% 0.97/1.60 { class_Rings_Oring__1__no__zero__divisors( tc_Int_Oint ) }.
% 0.97/1.60 { class_Rings_Oordered__cancel__semiring( tc_Int_Oint ) }.
% 0.97/1.60 { class_Rings_Olinordered__ring__strict( tc_Int_Oint ) }.
% 0.97/1.60 { class_Rings_Oring__no__zero__divisors( tc_Int_Oint ) }.
% 0.97/1.60 { class_Rings_Oordered__comm__semiring( tc_Int_Oint ) }.
% 0.97/1.60 { class_Rings_Olinordered__semiring__1( tc_Int_Oint ) }.
% 0.97/1.60 { class_Groups_Oordered__ab__group__add( tc_Int_Oint ) }.
% 0.97/1.60 { class_Groups_Ocancel__semigroup__add( tc_Int_Oint ) }.
% 0.97/1.60 { class_Rings_Olinordered__semiring( tc_Int_Oint ) }.
% 0.97/1.60 { class_Rings_Olinordered__semidom( tc_Int_Oint ) }.
% 0.97/1.60 { class_Groups_Oab__semigroup__mult( tc_Int_Oint ) }.
% 0.97/1.60 { class_Groups_Ocomm__monoid__mult( tc_Int_Oint ) }.
% 0.97/1.60 { class_Groups_Oab__semigroup__add( tc_Int_Oint ) }.
% 0.97/1.60 { class_Rings_Oordered__semiring( tc_Int_Oint ) }.
% 0.97/1.60 { class_Rings_Oordered__ring__abs( tc_Int_Oint ) }.
% 0.97/1.60 { class_Rings_Ono__zero__divisors( tc_Int_Oint ) }.
% 0.97/1.60 { class_Groups_Ocomm__monoid__add( tc_Int_Oint ) }.
% 0.97/1.60 { class_Rings_Olinordered__ring( tc_Int_Oint ) }.
% 0.97/1.60 { class_Rings_Olinordered__idom( tc_Int_Oint ) }.
% 0.97/1.60 { class_Rings_Ocomm__semiring__1( tc_Int_Oint ) }.
% 0.97/1.60 { class_Divides_Osemiring__div( tc_Int_Oint ) }.
% 0.97/1.60 { class_Rings_Ocomm__semiring( tc_Int_Oint ) }.
% 0.97/1.60 { class_Groups_Oab__group__add( tc_Int_Oint ) }.
% 0.97/1.60 { class_Rings_Ozero__neq__one( tc_Int_Oint ) }.
% 0.97/1.60 { class_Rings_Oordered__ring( tc_Int_Oint ) }.
% 0.97/1.60 { class_Orderings_Opreorder( tc_Int_Oint ) }.
% 0.97/1.60 { class_Orderings_Olinorder( tc_Int_Oint ) }.
% 0.97/1.60 { class_Groups_Omonoid__mult( tc_Int_Oint ) }.
% 0.97/1.60 { class_Groups_Omonoid__add( tc_Int_Oint ) }.
% 0.97/1.60 { class_Rings_Osemiring__1( tc_Int_Oint ) }.
% 0.97/1.60 { class_Rings_Osemiring__0( tc_Int_Oint ) }.
% 0.97/1.60 { class_Groups_Ogroup__add( tc_Int_Oint ) }.
% 0.97/1.60 { class_Divides_Oring__div( tc_Int_Oint ) }.
% 0.97/1.60 { class_Rings_Omult__zero( tc_Int_Oint ) }.
% 0.97/1.60 { class_Orderings_Oorder( tc_Int_Oint ) }.
% 0.97/1.60 { class_Int_Oring__char__0( tc_Int_Oint ) }.
% 0.97/1.60 { class_Int_Onumber__ring( tc_Int_Oint ) }.
% 0.97/1.60 { class_Rings_Osemiring( tc_Int_Oint ) }.
% 0.97/1.60 { class_Orderings_Oord( tc_Int_Oint ) }.
% 0.97/1.60 { class_Groups_Osgn__if( tc_Int_Oint ) }.
% 0.97/1.60 { class_Rings_Oring__1( tc_Int_Oint ) }.
% 0.97/1.60 { class_Power_Opower( tc_Int_Oint ) }.
% 0.97/1.60 { class_Groups_Ozero( tc_Int_Oint ) }.
% 0.97/1.60 { class_Rings_Oring( tc_Int_Oint ) }.
% 0.97/1.60 { class_Int_Onumber( tc_Int_Oint ) }.
% 0.97/1.60 { class_Groups_Oone( tc_Int_Oint ) }.
% 0.97/1.60 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.97/1.60 tc_Nat_Onat ) }.
% 0.97/1.60 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.97/1.60 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Nat_Onat ) }.
% 0.97/1.60 { class_Rings_Olinordered__comm__semiring__strict( tc_Nat_Onat ) }.
% 0.97/1.60 { class_Rings_Olinordered__semiring__strict( tc_Nat_Onat ) }.
% 0.97/1.60 { class_Groups_Oordered__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.97/1.60 { class_Groups_Oordered__comm__monoid__add( tc_Nat_Onat ) }.
% 0.97/1.60 { class_Groups_Ocancel__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.97/1.60 { class_Rings_Oordered__cancel__semiring( tc_Nat_Onat ) }.
% 0.97/1.60 { class_Rings_Oordered__comm__semiring( tc_Nat_Onat ) }.
% 0.97/1.60 { class_Groups_Ocancel__semigroup__add( tc_Nat_Onat ) }.
% 0.97/1.60 { class_Rings_Olinordered__semiring( tc_Nat_Onat ) }.
% 0.97/1.60 { class_Rings_Olinordered__semidom( tc_Nat_Onat ) }.
% 0.97/1.60 { class_Groups_Oab__semigroup__mult( tc_Nat_Onat ) }.
% 0.97/1.60 { class_Groups_Ocomm__monoid__mult( tc_Nat_Onat ) }.
% 0.97/1.60 { class_Groups_Oab__semigroup__add( tc_Nat_Onat ) }.
% 0.97/1.60 { class_Rings_Oordered__semiring( tc_Nat_Onat ) }.
% 0.97/1.60 { class_Rings_Ono__zero__divisors( tc_Nat_Onat ) }.
% 0.97/1.60 { class_Groups_Ocomm__monoid__add( tc_Nat_Onat ) }.
% 0.97/1.60 { class_Rings_Ocomm__semiring__1( tc_Nat_Onat ) }.
% 0.97/1.60 { class_Divides_Osemiring__div( tc_Nat_Onat ) }.
% 0.97/1.60 { class_Rings_Ocomm__semiring( tc_Nat_Onat ) }.
% 0.97/1.60 { class_Rings_Ozero__neq__one( tc_Nat_Onat ) }.
% 0.97/1.60 { class_Orderings_Opreorder( tc_Nat_Onat ) }.
% 0.97/1.60 { class_Orderings_Olinorder( tc_Nat_Onat ) }.
% 0.97/1.60 { class_Groups_Omonoid__mult( tc_Nat_Onat ) }.
% 0.97/1.60 { class_Groups_Omonoid__add( tc_Nat_Onat ) }.
% 0.97/1.60 { class_Rings_Osemiring__1( tc_Nat_Onat ) }.
% 0.97/1.60 { class_Rings_Osemiring__0( tc_Nat_Onat ) }.
% 0.97/1.60 { class_Rings_Omult__zero( tc_Nat_Onat ) }.
% 0.97/1.60 { class_Orderings_Oorder( tc_Nat_Onat ) }.
% 0.97/1.60 { class_Rings_Osemiring( tc_Nat_Onat ) }.
% 0.97/1.60 { class_Orderings_Oord( tc_Nat_Onat ) }.
% 0.97/1.60 { class_Power_Opower( tc_Nat_Onat ) }.
% 0.97/1.60 { class_Groups_Ozero( tc_Nat_Onat ) }.
% 0.97/1.60 { class_Int_Onumber( tc_Nat_Onat ) }.
% 0.97/1.60 { class_Groups_Oone( tc_Nat_Onat ) }.
% 0.97/1.60 { class_Orderings_Opreorder( tc_HOL_Obool ) }.
% 0.97/1.60 { class_Orderings_Oorder( tc_HOL_Obool ) }.
% 0.97/1.60 { class_Orderings_Oord( tc_HOL_Obool ) }.
% 0.97/1.60 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.97/1.60 tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_RealDef_Oreal ) }
% 0.97/1.60 .
% 0.97/1.60 { class_Rings_Olinordered__comm__semiring__strict( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Fields_Olinordered__field__inverse__zero( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Rings_Olinordered__semiring__1__strict( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_RealVector_Oreal__normed__div__algebra( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Rings_Olinordered__semiring__strict( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Rings_Odivision__ring__inverse__zero( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_RealVector_Oreal__normed__algebra__1( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Groups_Oordered__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Groups_Oordered__ab__group__add__abs( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_RealVector_Oreal__normed__algebra( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Groups_Oordered__comm__monoid__add( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Groups_Olinordered__ab__group__add( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Groups_Ocancel__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Rings_Oring__1__no__zero__divisors( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Rings_Oordered__cancel__semiring( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_RealVector_Oreal__normed__vector( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Rings_Olinordered__ring__strict( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_RealVector_Oreal__normed__field( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Rings_Oring__no__zero__divisors( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Rings_Oordered__comm__semiring( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Rings_Olinordered__semiring__1( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Groups_Oordered__ab__group__add( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Groups_Ocancel__semigroup__add( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Rings_Olinordered__semiring( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Fields_Ofield__inverse__zero( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Rings_Olinordered__semidom( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Groups_Oab__semigroup__mult( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Groups_Ocomm__monoid__mult( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Groups_Oab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Fields_Olinordered__field( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Rings_Oordered__semiring( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Rings_Oordered__ring__abs( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Rings_Ono__zero__divisors( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Groups_Ocomm__monoid__add( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Rings_Olinordered__ring( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Rings_Olinordered__idom( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Rings_Ocomm__semiring__1( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_RealVector_Oreal__field( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Rings_Odivision__ring( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Rings_Ocomm__semiring( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Groups_Oab__group__add( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Rings_Ozero__neq__one( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Rings_Oordered__ring( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Orderings_Opreorder( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Orderings_Olinorder( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Groups_Omonoid__mult( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Groups_Omonoid__add( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Rings_Osemiring__1( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Rings_Osemiring__0( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Groups_Ogroup__add( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Rings_Omult__zero( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Orderings_Oorder( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Int_Oring__char__0( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Int_Onumber__ring( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Rings_Osemiring( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Orderings_Oord( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Groups_Osgn__if( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Rings_Oring__1( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Fields_Ofield( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Power_Opower( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Groups_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Rings_Oring( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Int_Onumber( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Groups_Oone( tc_RealDef_Oreal ) }.
% 0.97/1.60 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.97/1.60 tc_Complex_Ocomplex ) }.
% 0.97/1.60 { class_RealVector_Oreal__normed__div__algebra( tc_Complex_Ocomplex ) }.
% 0.97/1.60 { class_Rings_Odivision__ring__inverse__zero( tc_Complex_Ocomplex ) }.
% 0.97/1.60 { class_RealVector_Oreal__normed__algebra__1( tc_Complex_Ocomplex ) }.
% 0.97/1.60 { class_RealVector_Oreal__normed__algebra( tc_Complex_Ocomplex ) }.
% 0.97/1.60 { class_Groups_Ocancel__ab__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.97/1.60 { class_Rings_Oring__1__no__zero__divisors( tc_Complex_Ocomplex ) }.
% 0.97/1.60 { class_RealVector_Oreal__normed__vector( tc_Complex_Ocomplex ) }.
% 0.97/1.60 { class_RealVector_Oreal__normed__field( tc_Complex_Ocomplex ) }.
% 0.97/1.60 { class_Rings_Oring__no__zero__divisors( tc_Complex_Ocomplex ) }.
% 0.97/1.60 { class_Groups_Ocancel__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.97/1.60 { class_Fields_Ofield__inverse__zero( tc_Complex_Ocomplex ) }.
% 0.97/1.60 { class_Groups_Oab__semigroup__mult( tc_Complex_Ocomplex ) }.
% 0.97/1.60 { class_Groups_Ocomm__monoid__mult( tc_Complex_Ocomplex ) }.
% 0.97/1.60 { class_Groups_Oab__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.97/1.60 { class_Rings_Ono__zero__divisors( tc_Complex_Ocomplex ) }.
% 0.97/1.60 { class_Groups_Ocomm__monoid__add( tc_Complex_Ocomplex ) }.
% 0.97/1.60 { class_Rings_Ocomm__semiring__1( tc_Complex_Ocomplex ) }.
% 0.97/1.60 { class_RealVector_Oreal__field( tc_Complex_Ocomplex ) }.
% 0.97/1.60 { class_Rings_Odivision__ring( tc_Complex_Ocomplex ) }.
% 0.97/1.60 { class_Rings_Ocomm__semiring( tc_Complex_Ocomplex ) }.
% 0.97/1.60 { class_Groups_Oab__group__add( tc_Complex_Ocomplex ) }.
% 0.97/1.60 { class_Rings_Ozero__neq__one( tc_Complex_Ocomplex ) }.
% 0.97/1.60 { class_Groups_Omonoid__mult( tc_Complex_Ocomplex ) }.
% 0.97/1.60 { class_Groups_Omonoid__add( tc_Complex_Ocomplex ) }.
% 0.97/1.60 { class_Rings_Osemiring__1( tc_Complex_Ocomplex ) }.
% 0.97/1.60 { class_Rings_Osemiring__0( tc_Complex_Ocomplex ) }.
% 0.97/1.60 { class_Groups_Ogroup__add( tc_Complex_Ocomplex ) }.
% 0.97/1.60 { class_Rings_Omult__zero( tc_Complex_Ocomplex ) }.
% 0.97/1.60 { class_Int_Oring__char__0( tc_Complex_Ocomplex ) }.
% 0.97/1.60 { class_Int_Onumber__ring( tc_Complex_Ocomplex ) }.
% 0.97/1.60 { class_Rings_Osemiring( tc_Complex_Ocomplex ) }.
% 0.97/1.60 { class_Rings_Oring__1( tc_Complex_Ocomplex ) }.
% 0.97/1.60 { class_Fields_Ofield( tc_Complex_Ocomplex ) }.
% 0.97/1.60 { class_Power_Opower( tc_Complex_Ocomplex ) }.
% 0.97/1.60 { class_Groups_Ozero( tc_Complex_Ocomplex ) }.
% 0.97/1.60 { class_Rings_Oring( tc_Complex_Ocomplex ) }.
% 0.97/1.60 { class_Int_Onumber( tc_Complex_Ocomplex ) }.
% 0.97/1.60 { class_Groups_Oone( tc_Complex_Ocomplex ) }.
% 0.97/1.60 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, v_a____, v_e2____ ) }.
% 0.97/1.60 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.60 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.97/1.60 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, v_b____, v_m____ ) ),
% 0.97/1.60 v_e2____ ) }.
% 0.97/1.60 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.60 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.60 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.60 c_Int_OBit1( c_Int_OPls ) ) ), v_e2____ ), c_Groups_Oplus__class_Oplus(
% 0.97/1.60 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.97/1.60 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, v_b____, v_m____ ) ),
% 0.97/1.60 v_a____ ) ) }.
% 0.97/1.60 { ! || }.
% 0.97/1.60
% 0.97/1.60 *** allocated 15000 integers for clauses
% 0.97/1.60 *** allocated 22500 integers for clauses
% 0.97/1.60 *** allocated 33750 integers for clauses
% 0.97/1.60 *** allocated 50625 integers for clauses
% 0.97/1.60 *** allocated 75937 integers for clauses
% 0.97/1.60 *** allocated 113905 integers for clauses
% 0.97/1.60 percentage equality = 0.227228, percentage horn = 0.899179
% 0.97/1.60 This is a problem with some equality
% 0.97/1.60
% 0.97/1.60
% 0.97/1.60
% 0.97/1.60 Options Used:
% 0.97/1.60
% 0.97/1.60 useres = 1
% 0.97/1.60 useparamod = 1
% 0.97/1.60 useeqrefl = 1
% 0.97/1.60 useeqfact = 1
% 0.97/1.60 usefactor = 1
% 0.97/1.60 usesimpsplitting = 0
% 0.97/1.60 usesimpdemod = 5
% 0.97/1.60 usesimpres = 3
% 0.97/1.60
% 0.97/1.60 resimpinuse = 1000
% 0.97/1.60 resimpclauses = 20000
% 0.97/1.60 substype = eqrewr
% 0.97/1.60 backwardsubs = 1
% 0.97/1.60 selectoldest = 5
% 0.97/1.60
% 0.97/1.60 litorderings [0] = split
% 0.97/1.60 litorderings [1] = extend the termordering, first sorting on arguments
% 0.97/1.60
% 0.97/1.60 termordering = kbo
% 0.97/1.60
% 0.97/1.60 litapriori = 0
% 0.97/1.60 termapriori = 1
% 0.97/1.60 litaposteriori = 0
% 0.97/1.60 termaposteriori = 0
% 0.97/1.60 demodaposteriori = 0
% 0.97/1.60 ordereqreflfact = 0
% 0.97/1.60
% 0.97/1.60 litselect = negord
% 0.97/1.60
% 0.97/1.60 maxweight = 15
% 0.97/1.60 maxdepth = 30000
% 0.97/1.60 maxlength = 115
% 0.97/1.60 maxnrvars = 195
% 0.97/1.60 excuselevel = 1
% 0.97/1.60 increasemaxweight = 1
% 0.97/1.60
% 0.97/1.60 maxselected = 10000000
% 0.97/1.60 maxnrclauses = 10000000
% 0.97/1.60
% 0.97/1.60 showgenerated = 0
% 0.97/1.60 showkept = 0
% 0.97/1.60 showselected = 0
% 0.97/1.60 showdeleted = 0
% 0.97/1.60 showresimp = 1
% 0.97/1.60 showstatus = 2000
% 0.97/1.60
% 0.97/1.60 prologoutput = 0
% 0.97/1.60 nrgoals = 5000000
% 0.97/1.60 totalproof = 1
% 0.97/1.60
% 0.97/1.60 Symbols occurring in the translation:
% 0.97/1.60
% 0.97/1.60 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.97/1.60 . [1, 2] (w:1, o:201, a:1, s:1, b:0),
% 0.97/1.60 || [2, 0] (w:1, o:3, a:1, s:1, b:0),
% 0.97/1.60 ! [4, 1] (w:0, o:113, a:1, s:1, b:0),
% 0.97/1.60 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.97/1.60 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.97/1.60 class_Int_Onumber__ring [37, 1] (w:1, o:118, a:1, s:1, b:0),
% 0.97/1.60 c_Int_OPls [38, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.97/1.60 c_Int_OBit1 [39, 1] (w:1, o:120, a:1, s:1, b:0),
% 0.97/1.60 c_Int_OBit0 [40, 1] (w:1, o:119, a:1, s:1, b:0),
% 0.97/1.60 c_Int_Onumber__class_Onumber__of [41, 2] (w:1, o:225, a:1, s:1, b:0)
% 0.97/1.60 ,
% 0.97/1.60 c_Groups_Otimes__class_Otimes [42, 3] (w:1, o:242, a:1, s:1, b:0),
% 0.97/1.60 c_Groups_Oplus__class_Oplus [43, 3] (w:1, o:243, a:1, s:1, b:0),
% 0.97/1.60 class_Rings_Olinordered__idom [47, 1] (w:1, o:121, a:1, s:1, b:0),
% 0.97/1.60 c_Groups_Ominus__class_Ominus [48, 3] (w:1, o:244, a:1, s:1, b:0),
% 0.97/1.60 c_Groups_Oabs__class_Oabs [49, 2] (w:1, o:226, a:1, s:1, b:0),
% 0.97/1.60 c_Orderings_Oord__class_Oless [50, 3] (w:1, o:245, a:1, s:1, b:0),
% 0.97/1.60 class_Groups_Oordered__ab__group__add__abs [53, 1] (w:1, o:126, a:1
% 0.97/1.60 , s:1, b:0),
% 0.97/1.60 c_Orderings_Oord__class_Oless__eq [54, 3] (w:1, o:246, a:1, s:1, b:0)
% 0.97/1.60 ,
% 0.97/1.60 class_Rings_Oordered__ring [61, 1] (w:1, o:128, a:1, s:1, b:0),
% 0.97/1.60 tc_Int_Oint [63, 0] (w:1, o:49, a:1, s:1, b:0),
% 0.97/1.60 class_Groups_Oab__semigroup__mult [72, 1] (w:1, o:129, a:1, s:1, b:0)
% 0.97/1.60 ,
% 0.97/1.60 class_Groups_Ocancel__semigroup__add [73, 1] (w:1, o:130, a:1, s:1
% 0.97/1.60 , b:0),
% 0.97/1.60 class_Groups_Ocancel__ab__semigroup__add [74, 1] (w:1, o:131, a:1, s:
% 0.97/1.60 1, b:0),
% 0.97/1.60 class_Groups_Oab__semigroup__add [75, 1] (w:1, o:132, a:1, s:1, b:0)
% 0.97/1.60 ,
% 0.97/1.60 class_Int_Oring__char__0 [77, 1] (w:1, o:133, a:1, s:1, b:0),
% 0.97/1.60 class_Int_Onumber [79, 1] (w:1, o:134, a:1, s:1, b:0),
% 0.97/1.60 class_Groups_Oab__group__add [80, 1] (w:1, o:135, a:1, s:1, b:0),
% 0.97/1.60 class_Groups_Oordered__ab__semigroup__add__imp__le [81, 1] (w:1, o:
% 0.97/1.60 136, a:1, s:1, b:0),
% 0.97/1.60 class_Groups_Oordered__ab__semigroup__add [82, 1] (w:1, o:137, a:1
% 0.97/1.60 , s:1, b:0),
% 0.97/1.60 class_Groups_Oordered__cancel__ab__semigroup__add [83, 1] (w:1, o:138
% 0.97/1.60 , a:1, s:1, b:0),
% 0.97/1.60 class_Groups_Oordered__ab__group__add [84, 1] (w:1, o:139, a:1, s:1
% 0.97/1.60 , b:0),
% 0.97/1.60 class_Rings_Osemiring [86, 1] (w:1, o:144, a:1, s:1, b:0),
% 0.97/1.60 class_Rings_Ocomm__semiring [87, 1] (w:1, o:145, a:1, s:1, b:0),
% 0.97/1.60 class_Groups_Ogroup__add [89, 1] (w:1, o:146, a:1, s:1, b:0),
% 0.97/1.60 class_Orderings_Olinorder [91, 1] (w:1, o:147, a:1, s:1, b:0),
% 0.97/1.60 class_Rings_Oring [93, 1] (w:1, o:140, a:1, s:1, b:0),
% 0.97/1.60 tc_Nat_Onat [94, 0] (w:1, o:58, a:1, s:1, b:0),
% 0.97/1.60 class_RealVector_Oreal__normed__algebra [95, 1] (w:1, o:148, a:1, s:1
% 0.97/1.60 , b:0),
% 0.97/1.60 class_Orderings_Opreorder [96, 1] (w:1, o:151, a:1, s:1, b:0),
% 0.97/1.60 tc_RealDef_Oreal [99, 0] (w:1, o:61, a:1, s:1, b:0),
% 0.97/1.60 class_Orderings_Oord [110, 1] (w:1, o:149, a:1, s:1, b:0),
% 0.97/1.60 tc_fun [111, 2] (w:1, o:231, a:1, s:1, b:0),
% 0.97/1.60 hAPP [113, 2] (w:1, o:232, a:1, s:1, b:0),
% 0.97/1.60 class_Orderings_Oorder [114, 1] (w:1, o:150, a:1, s:1, b:0),
% 0.97/1.60 c_Power_Opower__class_Opower [119, 3] (w:1, o:247, a:1, s:1, b:0),
% 0.97/1.60 hBOOL [131, 1] (w:1, o:152, a:1, s:1, b:0),
% 0.97/1.60 class_Groups_Omonoid__mult [133, 1] (w:1, o:154, a:1, s:1, b:0),
% 0.97/1.60 class_Rings_Ocomm__semiring__1 [134, 1] (w:1, o:155, a:1, s:1, b:0),
% 0.97/1.60
% 0.97/1.60 tc_Complex_Ocomplex [135, 0] (w:1, o:89, a:1, s:1, b:0),
% 0.97/1.60 c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt [136, 1] (w:1, o:
% 0.97/1.60 156, a:1, s:1, b:0),
% 0.97/1.60 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct [
% 0.97/1.60 143, 1] (w:1, o:180, a:1, s:1, b:0),
% 0.97/1.60 class_Groups_Ocomm__monoid__mult [144, 1] (w:1, o:181, a:1, s:1, b:0)
% 0.97/1.60 ,
% 0.97/1.60 c_Groups_Ozero__class_Ozero [145, 1] (w:1, o:182, a:1, s:1, b:0),
% 0.97/1.60 c_NthRoot_Osqrt [146, 1] (w:1, o:183, a:1, s:1, b:0),
% 0.97/1.60 v_d____ [147, 0] (w:1, o:91, a:1, s:1, b:0),
% 0.97/1.60 v_r [148, 0] (w:1, o:92, a:1, s:1, b:0),
% 0.97/1.60 class_Power_Opower [149, 1] (w:1, o:184, a:1, s:1, b:0),
% 0.97/1.60 class_Rings_Omult__zero [150, 1] (w:1, o:165, a:1, s:1, b:0),
% 0.97/1.60 class_Rings_Ono__zero__divisors [151, 1] (w:1, o:127, a:1, s:1, b:0)
% 0.97/1.60 ,
% 0.97/1.60 class_Rings_Ozero__neq__one [152, 1] (w:1, o:166, a:1, s:1, b:0),
% 0.97/1.60 class_Groups_Ozero [153, 1] (w:1, o:185, a:1, s:1, b:0),
% 0.97/1.60 class_Rings_Oring__no__zero__divisors [154, 1] (w:1, o:141, a:1, s:1
% 0.97/1.60 , b:0),
% 0.97/1.60 class_Groups_Olinordered__ab__group__add [155, 1] (w:1, o:153, a:1
% 0.97/1.60 , s:1, b:0),
% 0.97/1.60 class_Groups_Ocomm__monoid__add [156, 1] (w:1, o:186, a:1, s:1, b:0)
% 0.97/1.60 ,
% 0.97/1.60 class_Groups_Omonoid__add [157, 1] (w:1, o:187, a:1, s:1, b:0),
% 0.97/1.60 class_Rings_Oring__1__no__zero__divisors [158, 1] (w:1, o:142, a:1
% 0.97/1.60 , s:1, b:0),
% 0.97/1.60 class_Rings_Olinordered__semidom [159, 1] (w:1, o:159, a:1, s:1, b:0)
% 0.97/1.60 ,
% 0.97/1.60 class_Rings_Oordered__cancel__semiring [160, 1] (w:1, o:167, a:1, s:1
% 0.97/1.60 , b:0),
% 0.97/1.60 class_Rings_Oordered__semiring [161, 1] (w:1, o:169, a:1, s:1, b:0),
% 0.97/1.60
% 0.97/1.60 class_Rings_Oordered__comm__semiring [162, 1] (w:1, o:170, a:1, s:1
% 0.97/1.60 , b:0),
% 0.97/1.60 class_Rings_Olinordered__ring__strict [163, 1] (w:1, o:157, a:1, s:1
% 0.97/1.60 , b:0),
% 0.97/1.60 class_Rings_Olinordered__ring [164, 1] (w:1, o:158, a:1, s:1, b:0),
% 0.97/1.60 class_Rings_Olinordered__comm__semiring__strict [165, 1] (w:1, o:160
% 0.97/1.60 , a:1, s:1, b:0),
% 0.97/1.60 class_Rings_Olinordered__semiring__strict [166, 1] (w:1, o:161, a:1
% 0.97/1.60 , s:1, b:0),
% 0.97/1.60 class_Groups_Oordered__comm__monoid__add [167, 1] (w:1, o:188, a:1
% 0.97/1.60 , s:1, b:0),
% 0.97/1.60 class_Rings_Olinordered__semiring [169, 1] (w:1, o:162, a:1, s:1, b:0
% 0.97/1.60 ),
% 0.97/1.60 class_Rings_Oordered__ring__abs [170, 1] (w:1, o:168, a:1, s:1, b:0)
% 0.97/1.60 ,
% 0.97/1.60 class_Rings_Osemiring__1 [172, 1] (w:1, o:172, a:1, s:1, b:0),
% 0.97/1.60 v_w____ [175, 0] (w:1, o:94, a:1, s:1, b:0),
% 0.97/1.60 c_RealVector_Onorm__class_Onorm [176, 2] (w:1, o:233, a:1, s:1, b:0)
% 0.97/1.60 ,
% 0.97/1.60 v_g____ [178, 1] (w:1, o:189, a:1, s:1, b:0),
% 0.97/1.60 class_RealVector_Oreal__normed__vector [179, 1] (w:1, o:173, a:1, s:1
% 0.97/1.60 , b:0),
% 0.97/1.60 class_RealVector_Oreal__normed__div__algebra [180, 1] (w:1, o:174, a:
% 0.97/1.60 1, s:1, b:0),
% 0.97/1.60 class_RealVector_Oreal__normed__algebra__1 [181, 1] (w:1, o:175, a:1
% 0.97/1.60 , s:1, b:0),
% 0.97/1.60 c_Rings_Oinverse__class_Odivide [182, 3] (w:1, o:248, a:1, s:1, b:0)
% 0.97/1.60 ,
% 0.97/1.60 c_Complex_Ocomplex_OComplex [183, 2] (w:1, o:234, a:1, s:1, b:0),
% 0.97/1.60 class_RealVector_Oreal__normed__field [184, 1] (w:1, o:176, a:1, s:1
% 0.97/1.60 , b:0),
% 0.97/1.60 class_Fields_Ofield__inverse__zero [185, 1] (w:1, o:122, a:1, s:1, b:
% 0.97/1.60 0),
% 0.97/1.60 class_Rings_Odivision__ring [186, 1] (w:1, o:177, a:1, s:1, b:0),
% 0.97/1.60 class_Rings_Odivision__ring__inverse__zero [191, 1] (w:1, o:178, a:1
% 0.97/1.60 , s:1, b:0),
% 0.97/1.60 class_Fields_Ofield [192, 1] (w:1, o:123, a:1, s:1, b:0),
% 0.97/1.60 class_RealVector_Oreal__field [194, 1] (w:1, o:179, a:1, s:1, b:0),
% 0.97/1.60 class_Fields_Olinordered__field__inverse__zero [195, 1] (w:1, o:124
% 0.97/1.60 , a:1, s:1, b:0),
% 0.97/1.60 class_Fields_Olinordered__field [196, 1] (w:1, o:125, a:1, s:1, b:0)
% 0.97/1.60 ,
% 0.97/1.60 c_Complex_Ocomplex_Ocomplex__size [199, 1] (w:1, o:190, a:1, s:1, b:0
% 0.97/1.60 ),
% 0.97/1.60 c_Nat_Osize__class_Osize [200, 2] (w:1, o:235, a:1, s:1, b:0),
% 0.97/1.60 v_N1____ [201, 0] (w:1, o:97, a:1, s:1, b:0),
% 0.97/1.60 v_f____ [202, 0] (w:1, o:99, a:1, s:1, b:0),
% 0.97/1.60 v_z____ [203, 0] (w:1, o:100, a:1, s:1, b:0),
% 0.97/1.60 c_Complex_Ocomplex_Ocomplex__rec [205, 3] (w:1, o:249, a:1, s:1, b:0)
% 0.97/1.60 ,
% 0.97/1.60 c_SEQ_Osubseq [206, 1] (w:1, o:191, a:1, s:1, b:0),
% 0.97/1.60 c_Complex_Ocomplex_Ocomplex__case [211, 3] (w:1, o:250, a:1, s:1, b:0
% 0.97/1.60 ),
% 0.97/1.60 c_Groups_Oone__class_Oone [212, 1] (w:1, o:192, a:1, s:1, b:0),
% 0.97/1.60 class_Groups_Oone [213, 1] (w:1, o:193, a:1, s:1, b:0),
% 0.97/1.60 class_Rings_Oring__1 [214, 1] (w:1, o:143, a:1, s:1, b:0),
% 0.97/1.60 class_Rings_Osemiring__0 [215, 1] (w:1, o:171, a:1, s:1, b:0),
% 0.97/1.60 class_Rings_Olinordered__semiring__1 [217, 1] (w:1, o:163, a:1, s:1
% 0.97/1.60 , b:0),
% 0.97/1.60 class_Rings_Olinordered__semiring__1__strict [218, 1] (w:1, o:164, a:
% 0.97/1.60 1, s:1, b:0),
% 0.97/1.60 c_Transcendental_Oarctan [219, 1] (w:1, o:194, a:1, s:1, b:0),
% 0.97/1.60 c_Transcendental_Opi [221, 0] (w:1, o:106, a:1, s:1, b:0),
% 0.97/1.60 c_Groups_Osgn__class_Osgn [222, 2] (w:1, o:236, a:1, s:1, b:0),
% 0.97/1.60 c_Divides_Odiv__class_Omod [223, 3] (w:1, o:251, a:1, s:1, b:0),
% 0.97/1.60 class_Divides_Osemiring__div [224, 1] (w:1, o:196, a:1, s:1, b:0),
% 0.97/1.60 class_Groups_Osgn__if [225, 1] (w:1, o:197, a:1, s:1, b:0),
% 0.97/1.60 class_Divides_Oring__div [226, 1] (w:1, o:195, a:1, s:1, b:0),
% 0.97/1.60 tc_HOL_Obool [233, 0] (w:1, o:48, a:1, s:1, b:0),
% 0.97/1.60 v_a____ [234, 0] (w:1, o:110, a:1, s:1, b:0),
% 0.97/1.60 v_e2____ [235, 0] (w:1, o:98, a:1, s:1, b:0),
% 0.97/1.60 v_b____ [236, 0] (w:1, o:111, a:1, s:1, b:0),
% 0.97/1.60 v_m____ [237, 0] (w:1, o:112, a:1, s:1, b:0),
% 0.97/1.60 alpha1 [238, 2] (w:1, o:237, a:1, s:1, b:1),
% 0.97/1.60 alpha2 [239, 3] (w:1, o:262, a:1, s:1, b:1),
% 0.97/1.60 alpha3 [240, 3] (w:1, o:273, a:1, s:1, b:1),
% 0.97/1.60 alpha4 [241, 4] (w:1, o:295, a:1, s:1, b:1),
% 0.97/1.60 alpha5 [242, 4] (w:1, o:306, a:1, s:1, b:1),
% 0.97/1.60 alpha6 [243, 3] (w:1, o:278, a:1, s:1, b:1),
% 0.97/1.60 alpha7 [244, 3] (w:1, o:279, a:1, s:1, b:1),
% 0.97/1.60 alpha8 [245, 2] (w:1, o:238, a:1, s:1, b:1),
% 0.97/1.60 alpha9 [246, 3] (w:1, o:280, a:1, s:1, b:1),
% 0.97/1.60 alpha10 [247, 3] (w:1, o:252, a:1, s:1, b:1),
% 0.97/1.60 alpha11 [248, 3] (w:1, o:253, a:1, s:1, b:1),
% 0.97/1.60 alpha12 [249, 3] (w:1, o:254, a:1, s:1, b:1),
% 0.97/1.60 alpha13 [250, 3] (w:1, o:255, a:1, s:1, b:1),
% 0.97/1.60 alpha14 [251, 3] (w:1, o:256, a:1, s:1, b:1),
% 0.97/1.60 alpha15 [252, 3] (w:1, o:257, a:1, s:1, b:1),
% 0.97/1.60 alpha16 [253, 3] (w:1, o:258, a:1, s:1, b:1),
% 0.97/1.60 alpha17 [254, 3] (w:1, o:259, a:1, s:1, b:1),
% 0.97/1.60 alpha18 [255, 3] (w:1, o:260, a:1, s:1, b:1),
% 0.97/1.60 alpha19 [256, 3] (w:1, o:261, a:1, s:1, b:1),
% 0.97/1.60 alpha20 [257, 3] (w:1, o:263, a:1, s:1, b:1),
% 0.97/1.60 alpha21 [258, 3] (w:1, o:264, a:1, s:1, b:1),
% 8.15/8.55 alpha22 [259, 3] (w:1, o:265, a:1, s:1, b:1),
% 8.15/8.55 alpha23 [260, 3] (w:1, o:266, a:1, s:1, b:1),
% 8.15/8.55 alpha24 [261, 3] (w:1, o:267, a:1, s:1, b:1),
% 8.15/8.55 alpha25 [262, 3] (w:1, o:268, a:1, s:1, b:1),
% 8.15/8.55 alpha26 [263, 3] (w:1, o:269, a:1, s:1, b:1),
% 8.15/8.55 alpha27 [264, 3] (w:1, o:270, a:1, s:1, b:1),
% 8.15/8.55 alpha28 [265, 3] (w:1, o:271, a:1, s:1, b:1),
% 8.15/8.55 alpha29 [266, 3] (w:1, o:272, a:1, s:1, b:1),
% 8.15/8.55 alpha30 [267, 3] (w:1, o:281, a:1, s:1, b:1),
% 8.15/8.55 alpha31 [268, 3] (w:1, o:282, a:1, s:1, b:1),
% 8.15/8.55 alpha32 [269, 3] (w:1, o:283, a:1, s:1, b:1),
% 8.15/8.55 alpha33 [270, 4] (w:1, o:291, a:1, s:1, b:1),
% 8.15/8.55 alpha34 [271, 4] (w:1, o:292, a:1, s:1, b:1),
% 8.15/8.55 alpha35 [272, 3] (w:1, o:284, a:1, s:1, b:1),
% 8.15/8.55 alpha36 [273, 3] (w:1, o:285, a:1, s:1, b:1),
% 8.15/8.55 alpha37 [274, 2] (w:1, o:239, a:1, s:1, b:1),
% 8.15/8.55 alpha38 [275, 4] (w:1, o:293, a:1, s:1, b:1),
% 8.15/8.55 alpha39 [276, 4] (w:1, o:294, a:1, s:1, b:1),
% 8.15/8.55 alpha40 [277, 4] (w:1, o:296, a:1, s:1, b:1),
% 8.15/8.55 alpha41 [278, 4] (w:1, o:297, a:1, s:1, b:1),
% 8.15/8.55 alpha42 [279, 4] (w:1, o:298, a:1, s:1, b:1),
% 8.15/8.55 alpha43 [280, 4] (w:1, o:299, a:1, s:1, b:1),
% 8.15/8.55 alpha44 [281, 4] (w:1, o:300, a:1, s:1, b:1),
% 8.15/8.55 alpha45 [282, 4] (w:1, o:301, a:1, s:1, b:1),
% 8.15/8.55 alpha46 [283, 4] (w:1, o:302, a:1, s:1, b:1),
% 8.15/8.55 alpha47 [284, 4] (w:1, o:303, a:1, s:1, b:1),
% 8.15/8.55 alpha48 [285, 4] (w:1, o:304, a:1, s:1, b:1),
% 8.15/8.55 alpha49 [286, 4] (w:1, o:305, a:1, s:1, b:1),
% 8.15/8.55 alpha50 [287, 3] (w:1, o:274, a:1, s:1, b:1),
% 8.15/8.55 alpha51 [288, 3] (w:1, o:275, a:1, s:1, b:1),
% 8.15/8.55 alpha52 [289, 3] (w:1, o:276, a:1, s:1, b:1),
% 8.15/8.55 alpha53 [290, 3] (w:1, o:277, a:1, s:1, b:1),
% 8.15/8.55 alpha54 [291, 4] (w:1, o:307, a:1, s:1, b:1),
% 8.15/8.55 alpha55 [292, 4] (w:1, o:308, a:1, s:1, b:1),
% 8.15/8.55 alpha56 [293, 4] (w:1, o:309, a:1, s:1, b:1),
% 8.15/8.55 alpha57 [294, 4] (w:1, o:310, a:1, s:1, b:1),
% 8.15/8.55 alpha58 [295, 4] (w:1, o:311, a:1, s:1, b:1),
% 8.15/8.55 alpha59 [296, 4] (w:1, o:312, a:1, s:1, b:1),
% 8.15/8.55 alpha60 [297, 4] (w:1, o:313, a:1, s:1, b:1),
% 8.15/8.55 alpha61 [298, 4] (w:1, o:314, a:1, s:1, b:1),
% 8.15/8.55 alpha62 [299, 4] (w:1, o:315, a:1, s:1, b:1),
% 8.15/8.55 alpha63 [300, 4] (w:1, o:316, a:1, s:1, b:1),
% 8.15/8.55 alpha64 [301, 4] (w:1, o:317, a:1, s:1, b:1),
% 8.15/8.55 alpha65 [302, 4] (w:1, o:318, a:1, s:1, b:1),
% 8.15/8.55 alpha66 [303, 4] (w:1, o:319, a:1, s:1, b:1),
% 8.15/8.55 alpha67 [304, 4] (w:1, o:320, a:1, s:1, b:1),
% 8.15/8.55 alpha68 [305, 4] (w:1, o:321, a:1, s:1, b:1),
% 8.15/8.55 alpha69 [306, 4] (w:1, o:322, a:1, s:1, b:1),
% 8.15/8.55 alpha70 [307, 4] (w:1, o:323, a:1, s:1, b:1),
% 8.15/8.55 alpha71 [308, 4] (w:1, o:324, a:1, s:1, b:1),
% 8.15/8.55 alpha72 [309, 4] (w:1, o:325, a:1, s:1, b:1),
% 8.15/8.55 alpha73 [310, 4] (w:1, o:326, a:1, s:1, b:1),
% 8.15/8.55 alpha74 [311, 4] (w:1, o:327, a:1, s:1, b:1),
% 8.15/8.55 alpha75 [312, 4] (w:1, o:328, a:1, s:1, b:1),
% 8.15/8.55 alpha76 [313, 4] (w:1, o:329, a:1, s:1, b:1),
% 8.15/8.55 alpha77 [314, 4] (w:1, o:330, a:1, s:1, b:1),
% 8.15/8.55 alpha78 [315, 4] (w:1, o:331, a:1, s:1, b:1),
% 8.15/8.55 alpha79 [316, 4] (w:1, o:332, a:1, s:1, b:1),
% 8.15/8.55 alpha80 [317, 4] (w:1, o:333, a:1, s:1, b:1),
% 8.15/8.55 alpha81 [318, 4] (w:1, o:334, a:1, s:1, b:1),
% 8.15/8.55 alpha82 [319, 4] (w:1, o:335, a:1, s:1, b:1),
% 8.15/8.55 alpha83 [320, 4] (w:1, o:336, a:1, s:1, b:1),
% 8.15/8.55 alpha84 [321, 4] (w:1, o:337, a:1, s:1, b:1),
% 8.15/8.55 alpha85 [322, 4] (w:1, o:338, a:1, s:1, b:1),
% 8.15/8.55 alpha86 [323, 4] (w:1, o:339, a:1, s:1, b:1),
% 8.15/8.55 alpha87 [324, 4] (w:1, o:340, a:1, s:1, b:1),
% 8.15/8.55 alpha88 [325, 4] (w:1, o:341, a:1, s:1, b:1),
% 8.15/8.55 alpha89 [326, 4] (w:1, o:342, a:1, s:1, b:1),
% 8.15/8.55 alpha90 [327, 4] (w:1, o:343, a:1, s:1, b:1),
% 8.15/8.55 alpha91 [328, 4] (w:1, o:344, a:1, s:1, b:1),
% 8.15/8.55 alpha92 [329, 4] (w:1, o:345, a:1, s:1, b:1),
% 8.15/8.55 alpha93 [330, 4] (w:1, o:346, a:1, s:1, b:1),
% 8.15/8.55 alpha94 [331, 4] (w:1, o:347, a:1, s:1, b:1),
% 8.15/8.55 alpha95 [332, 4] (w:1, o:348, a:1, s:1, b:1),
% 8.15/8.55 alpha96 [333, 3] (w:1, o:286, a:1, s:1, b:1),
% 8.15/8.55 alpha97 [334, 2] (w:1, o:240, a:1, s:1, b:1),
% 8.15/8.55 alpha98 [335, 2] (w:1, o:241, a:1, s:1, b:1),
% 44.85/45.27 alpha99 [336, 3] (w:1, o:287, a:1, s:1, b:1),
% 44.85/45.27 skol1 [337, 3] (w:1, o:288, a:1, s:1, b:1),
% 44.85/45.27 skol2 [338, 2] (w:1, o:229, a:1, s:1, b:1),
% 44.85/45.27 skol3 [339, 3] (w:1, o:289, a:1, s:1, b:1),
% 44.85/45.27 skol4 [340, 3] (w:1, o:290, a:1, s:1, b:1),
% 44.85/45.27 skol5 [341, 2] (w:1, o:230, a:1, s:1, b:1),
% 44.85/45.27 skol6 [342, 1] (w:1, o:198, a:1, s:1, b:1),
% 44.85/45.27 skol7 [343, 0] (w:1, o:46, a:1, s:1, b:1),
% 44.85/45.27 skol8 [344, 0] (w:1, o:47, a:1, s:1, b:1),
% 44.85/45.27 skol9 [345, 1] (w:1, o:199, a:1, s:1, b:1),
% 44.85/45.27 skol10 [346, 2] (w:1, o:227, a:1, s:1, b:1),
% 44.85/45.27 skol11 [347, 2] (w:1, o:228, a:1, s:1, b:1),
% 44.85/45.27 skol12 [348, 1] (w:1, o:200, a:1, s:1, b:1).
% 44.85/45.27
% 44.85/45.27
% 44.85/45.27 Starting Search:
% 44.85/45.27
% 44.85/45.27 *** allocated 170857 integers for clauses
% 44.85/45.27 Resimplifying inuse:
% 44.85/45.27 Done
% 44.85/45.27
% 44.85/45.27
% 44.85/45.27 Intermediate Status:
% 44.85/45.27 Generated: 2700
% 44.85/45.27 Kept: 2006
% 44.85/45.27 Inuse: 49
% 44.85/45.27 Deleted: 2
% 44.85/45.27 Deletedinuse: 0
% 44.85/45.27
% 44.85/45.27 *** allocated 256285 integers for clauses
% 44.85/45.27 *** allocated 170857 integers for termspace/termends
% 44.85/45.27 Resimplifying inuse:
% 44.85/45.27 Done
% 44.85/45.27
% 44.85/45.27 *** allocated 384427 integers for clauses
% 44.85/45.27
% 44.85/45.27 Intermediate Status:
% 44.85/45.27 Generated: 9629
% 44.85/45.27 Kept: 4371
% 44.85/45.27 Inuse: 344
% 44.85/45.27 Deleted: 7
% 44.85/45.27 Deletedinuse: 0
% 44.85/45.27
% 44.85/45.27 Resimplifying inuse:
% 44.85/45.27 Done
% 44.85/45.27
% 44.85/45.27 Resimplifying inuse:
% 44.85/45.27 Done
% 44.85/45.27
% 44.85/45.27 *** allocated 256285 integers for termspace/termends
% 44.85/45.27 *** allocated 576640 integers for clauses
% 44.85/45.27
% 44.85/45.27 Intermediate Status:
% 44.85/45.27 Generated: 18909
% 44.85/45.27 Kept: 6787
% 44.85/45.27 Inuse: 387
% 44.85/45.27 Deleted: 9
% 44.85/45.27 Deletedinuse: 0
% 44.85/45.27
% 44.85/45.27 Resimplifying inuse:
% 44.85/45.27 Done
% 44.85/45.27
% 44.85/45.27 Resimplifying inuse:
% 44.85/45.27 Done
% 44.85/45.27
% 44.85/45.27
% 44.85/45.27 Intermediate Status:
% 44.85/45.27 Generated: 25934
% 44.85/45.27 Kept: 8814
% 44.85/45.27 Inuse: 472
% 44.85/45.27 Deleted: 9
% 44.85/45.27 Deletedinuse: 0
% 44.85/45.27
% 44.85/45.27 Resimplifying inuse:
% 44.85/45.27 Done
% 44.85/45.27
% 44.85/45.27 *** allocated 384427 integers for termspace/termends
% 44.85/45.27 Resimplifying inuse:
% 44.85/45.27 Done
% 44.85/45.27
% 44.85/45.27 *** allocated 864960 integers for clauses
% 44.85/45.27
% 44.85/45.27 Intermediate Status:
% 44.85/45.27 Generated: 32776
% 44.85/45.27 Kept: 11105
% 44.85/45.27 Inuse: 576
% 44.85/45.27 Deleted: 10
% 44.85/45.27 Deletedinuse: 0
% 44.85/45.27
% 44.85/45.27 Resimplifying inuse:
% 44.85/45.27 Done
% 44.85/45.27
% 44.85/45.27 Resimplifying inuse:
% 44.85/45.27 Done
% 44.85/45.27
% 44.85/45.27
% 44.85/45.27 Intermediate Status:
% 44.85/45.27 Generated: 39743
% 44.85/45.27 Kept: 13106
% 44.85/45.27 Inuse: 632
% 44.85/45.27 Deleted: 12
% 44.85/45.27 Deletedinuse: 0
% 44.85/45.27
% 44.85/45.27 Resimplifying inuse:
% 44.85/45.27 Done
% 44.85/45.27
% 44.85/45.27 *** allocated 576640 integers for termspace/termends
% 44.85/45.27 Resimplifying inuse:
% 44.85/45.27 Done
% 44.85/45.27
% 44.85/45.27 *** allocated 1297440 integers for clauses
% 44.85/45.27
% 44.85/45.27 Intermediate Status:
% 44.85/45.27 Generated: 50875
% 44.85/45.27 Kept: 17370
% 44.85/45.27 Inuse: 706
% 44.85/45.27 Deleted: 15
% 44.85/45.27 Deletedinuse: 0
% 44.85/45.27
% 44.85/45.27 Resimplifying inuse:
% 44.85/45.27 Done
% 44.85/45.27
% 44.85/45.27 Resimplifying inuse:
% 44.85/45.27 Done
% 44.85/45.27
% 44.85/45.27
% 44.85/45.27 Intermediate Status:
% 44.85/45.27 Generated: 60761
% 44.85/45.27 Kept: 21741
% 44.85/45.27 Inuse: 761
% 44.85/45.27 Deleted: 15
% 44.85/45.27 Deletedinuse: 0
% 44.85/45.27
% 44.85/45.27 Resimplifying inuse:
% 44.85/45.27 Done
% 44.85/45.27
% 44.85/45.27 Resimplifying clauses:
% 44.85/45.27 Done
% 44.85/45.27
% 44.85/45.27 Resimplifying inuse:
% 44.85/45.27 Done
% 44.85/45.27
% 44.85/45.27
% 44.85/45.27 Intermediate Status:
% 44.85/45.27 Generated: 67810
% 44.85/45.27 Kept: 23755
% 44.85/45.27 Inuse: 776
% 44.85/45.27 Deleted: 286
% 44.85/45.27 Deletedinuse: 1
% 44.85/45.27
% 44.85/45.27 Resimplifying inuse:
% 44.85/45.27 Done
% 44.85/45.27
% 44.85/45.27 *** allocated 1946160 integers for clauses
% 44.85/45.27 *** allocated 864960 integers for termspace/termends
% 44.85/45.27
% 44.85/45.27 Intermediate Status:
% 44.85/45.27 Generated: 78913
% 44.85/45.27 Kept: 26924
% 44.85/45.27 Inuse: 816
% 44.85/45.27 Deleted: 286
% 44.85/45.27 Deletedinuse: 1
% 44.85/45.27
% 44.85/45.27 Resimplifying inuse:
% 44.85/45.27 Done
% 44.85/45.27
% 44.85/45.27 Resimplifying inuse:
% 44.85/45.27 Done
% 44.85/45.27
% 44.85/45.27
% 44.85/45.27 Intermediate Status:
% 44.85/45.27 Generated: 88048
% 44.85/45.27 Kept: 29144
% 44.85/45.27 Inuse: 846
% 44.85/45.27 Deleted: 286
% 44.85/45.27 Deletedinuse: 1
% 44.85/45.27
% 44.85/45.27 Resimplifying inuse:
% 44.85/45.27 Done
% 44.85/45.27
% 44.85/45.27 Resimplifying inuse:
% 44.85/45.27 Done
% 44.85/45.27
% 44.85/45.27
% 44.85/45.27 Intermediate Status:
% 44.85/45.27 Generated: 99158
% 44.85/45.27 Kept: 31809
% 44.85/45.27 Inuse: 886
% 44.85/45.27 Deleted: 286
% 44.85/45.27 Deletedinuse: 1
% 44.85/45.27
% 44.85/45.27 Resimplifying inuse:
% 44.85/45.27 Done
% 44.85/45.27
% 44.85/45.27 Resimplifying inuse:
% 44.85/45.27 Done
% 44.85/45.27
% 44.85/45.27
% 44.85/45.27 Intermediate Status:
% 44.85/45.27 Generated: 107185
% 44.85/45.27 Kept: 33816
% 44.85/45.27 Inuse: 940
% 44.85/45.27 Deleted: 288
% 44.85/45.27 Deletedinuse: 1
% 44.85/45.27
% 44.85/45.27 Resimplifying inuse:
% 44.85/45.27 Done
% 44.85/45.27
% 44.85/45.27
% 44.85/45.27 Intermediate Status:
% 44.85/45.27 Generated: 115173
% 44.85/45.27 Kept: 36151
% 44.85/45.27 Inuse: 954
% 44.85/45.27 Deleted: 288
% 44.85/45.27 Deletedinuse: 1
% 44.85/45.27
% 44.85/45.27 Resimplifying inuse:
% 44.85/45.27 Done
% 44.85/45.27
% 44.85/45.27 Resimplifying inuse:
% 44.85/45.27 Done
% 44.85/45.27
% 44.85/45.27
% 44.85/45.27 Intermediate Status:
% 44.85/45.27 Generated: 123386
% 44.85/45.27 Kept: 38176
% 44.85/45.27 Inuse: 998
% 44.85/45.27 Deleted: 290
% 44.85/45.27 Deletedinuse: 1
% 44.85/45.27
% 44.85/45.27 Resimplifying inuse:
% 44.85/45.27 Done
% 44.85/45.27
% 44.85/45.27 *** allocated 1297440 integers for termspace/termends
% 44.85/45.27 *** allocated 2919240 integers for clauses
% 44.85/45.27
% 44.85/45.27 Intermediate Status:
% 44.85/45.27 Generated: 133794
% 44.85/45.27 Kept: 41425
% 44.85/45.27 Inuse: 1025
% 44.85/45.27 Deleted: 293
% 44.85/45.27 Deletedinuse: 2
% 44.85/45.27
% 44.85/45.27 Resimplifying inuse:
% 44.85/45.27 Done
% 44.85/45.27
% 44.85/45.27 Resimplifying clauses:
% 44.85/45.27 Done
% 44.85/45.27
% 44.85/45.27
% 44.85/45.27 Intermediate Status:
% 44.85/45.27 Generated: 142249
% 44.85/45.27 Kept: 44256
% 44.85/45.27 Inuse: 1043
% 44.85/45.27 Deleted: 647
% 44.85/45.27 Deletedinuse: 3
% 146.08/146.58
% 146.08/146.58 Resimplifying inuse:
% 146.08/146.58 Done
% 146.08/146.58
% 146.08/146.58 Resimplifying inuse:
% 146.08/146.58 Done
% 146.08/146.58
% 146.08/146.58
% 146.08/146.58 Intermediate Status:
% 146.08/146.58 Generated: 150693
% 146.08/146.58 Kept: 46270
% 146.08/146.58 Inuse: 1083
% 146.08/146.58 Deleted: 650
% 146.08/146.58 Deletedinuse: 4
% 146.08/146.58
% 146.08/146.58 Resimplifying inuse:
% 146.08/146.58 Done
% 146.08/146.58
% 146.08/146.58 Resimplifying inuse:
% 146.08/146.58 Done
% 146.08/146.58
% 146.08/146.58
% 146.08/146.58 Intermediate Status:
% 146.08/146.58 Generated: 159436
% 146.08/146.58 Kept: 48277
% 146.08/146.58 Inuse: 1105
% 146.08/146.58 Deleted: 650
% 146.08/146.58 Deletedinuse: 4
% 146.08/146.58
% 146.08/146.58 Resimplifying inuse:
% 146.08/146.58 Done
% 146.08/146.58
% 146.08/146.58
% 146.08/146.58 Intermediate Status:
% 146.08/146.58 Generated: 168106
% 146.08/146.58 Kept: 50380
% 146.08/146.58 Inuse: 1126
% 146.08/146.58 Deleted: 650
% 146.08/146.58 Deletedinuse: 4
% 146.08/146.58
% 146.08/146.58 Resimplifying inuse:
% 146.08/146.58 Done
% 146.08/146.58
% 146.08/146.58
% 146.08/146.58 Intermediate Status:
% 146.08/146.58 Generated: 177586
% 146.08/146.58 Kept: 52875
% 146.08/146.58 Inuse: 1131
% 146.08/146.58 Deleted: 650
% 146.08/146.58 Deletedinuse: 4
% 146.08/146.58
% 146.08/146.58 Resimplifying inuse:
% 146.08/146.58 Done
% 146.08/146.58
% 146.08/146.58 Resimplifying inuse:
% 146.08/146.58 Done
% 146.08/146.58
% 146.08/146.58 *** allocated 1946160 integers for termspace/termends
% 146.08/146.58
% 146.08/146.58 Intermediate Status:
% 146.08/146.58 Generated: 191235
% 146.08/146.58 Kept: 58658
% 146.08/146.58 Inuse: 1161
% 146.08/146.58 Deleted: 650
% 146.08/146.58 Deletedinuse: 4
% 146.08/146.58
% 146.08/146.58 Resimplifying inuse:
% 146.08/146.58 Done
% 146.08/146.58
% 146.08/146.58 Resimplifying inuse:
% 146.08/146.58 Done
% 146.08/146.58
% 146.08/146.58 *** allocated 4378860 integers for clauses
% 146.08/146.58
% 146.08/146.58 Intermediate Status:
% 146.08/146.58 Generated: 207584
% 146.08/146.58 Kept: 62586
% 146.08/146.58 Inuse: 1191
% 146.08/146.58 Deleted: 650
% 146.08/146.58 Deletedinuse: 4
% 146.08/146.58
% 146.08/146.58 Resimplifying inuse:
% 146.08/146.58 Done
% 146.08/146.58
% 146.08/146.58 Resimplifying clauses:
% 146.08/146.58 Done
% 146.08/146.58
% 146.08/146.58 Resimplifying inuse:
% 146.08/146.58 Done
% 146.08/146.58
% 146.08/146.58
% 146.08/146.58 Intermediate Status:
% 146.08/146.58 Generated: 222122
% 146.08/146.58 Kept: 64714
% 146.08/146.58 Inuse: 1211
% 146.08/146.58 Deleted: 1022
% 146.08/146.58 Deletedinuse: 4
% 146.08/146.58
% 146.08/146.58 Resimplifying inuse:
% 146.08/146.58 Done
% 146.08/146.58
% 146.08/146.58
% 146.08/146.58 Intermediate Status:
% 146.08/146.58 Generated: 235912
% 146.08/146.58 Kept: 71170
% 146.08/146.58 Inuse: 1231
% 146.08/146.58 Deleted: 1022
% 146.08/146.58 Deletedinuse: 4
% 146.08/146.58
% 146.08/146.58 Resimplifying inuse:
% 146.08/146.58 Done
% 146.08/146.58
% 146.08/146.58 Resimplifying inuse:
% 146.08/146.58 Done
% 146.08/146.58
% 146.08/146.58
% 146.08/146.58 Intermediate Status:
% 146.08/146.58 Generated: 244550
% 146.08/146.58 Kept: 73187
% 146.08/146.58 Inuse: 1275
% 146.08/146.58 Deleted: 1025
% 146.08/146.58 Deletedinuse: 4
% 146.08/146.58
% 146.08/146.58 Resimplifying inuse:
% 146.08/146.58 Done
% 146.08/146.58
% 146.08/146.58 Resimplifying inuse:
% 146.08/146.58 Done
% 146.08/146.58
% 146.08/146.58
% 146.08/146.58 Intermediate Status:
% 146.08/146.58 Generated: 254227
% 146.08/146.58 Kept: 75188
% 146.08/146.58 Inuse: 1307
% 146.08/146.58 Deleted: 1025
% 146.08/146.58 Deletedinuse: 4
% 146.08/146.58
% 146.08/146.58 Resimplifying inuse:
% 146.08/146.58 Done
% 146.08/146.58
% 146.08/146.58
% 146.08/146.58 Intermediate Status:
% 146.08/146.58 Generated: 265652
% 146.08/146.58 Kept: 77717
% 146.08/146.58 Inuse: 1313
% 146.08/146.58 Deleted: 1025
% 146.08/146.58 Deletedinuse: 4
% 146.08/146.58
% 146.08/146.58 Resimplifying inuse:
% 146.08/146.58 Done
% 146.08/146.58
% 146.08/146.58 Resimplifying inuse:
% 146.08/146.58 Done
% 146.08/146.58
% 146.08/146.58
% 146.08/146.58 Intermediate Status:
% 146.08/146.58 Generated: 277549
% 146.08/146.58 Kept: 79775
% 146.08/146.58 Inuse: 1340
% 146.08/146.58 Deleted: 1048
% 146.08/146.58 Deletedinuse: 4
% 146.08/146.58
% 146.08/146.58 Resimplifying inuse:
% 146.08/146.58 Done
% 146.08/146.58
% 146.08/146.58
% 146.08/146.58 Intermediate Status:
% 146.08/146.58 Generated: 290992
% 146.08/146.58 Kept: 83290
% 146.08/146.58 Inuse: 1346
% 146.08/146.58 Deleted: 1073
% 146.08/146.58 Deletedinuse: 5
% 146.08/146.58
% 146.08/146.58 Resimplifying inuse:
% 146.08/146.58 Done
% 146.08/146.58
% 146.08/146.58 Resimplifying clauses:
% 146.08/146.58 Done
% 146.08/146.58
% 146.08/146.58 *** allocated 2919240 integers for termspace/termends
% 146.08/146.58
% 146.08/146.58 Intermediate Status:
% 146.08/146.58 Generated: 304057
% 146.08/146.58 Kept: 86618
% 146.08/146.58 Inuse: 1356
% 146.08/146.58 Deleted: 1792
% 146.08/146.58 Deletedinuse: 5
% 146.08/146.58
% 146.08/146.58 Resimplifying inuse:
% 146.08/146.58 Done
% 146.08/146.58
% 146.08/146.58 Resimplifying inuse:
% 146.08/146.58 Done
% 146.08/146.58
% 146.08/146.58
% 146.08/146.58 Intermediate Status:
% 146.08/146.58 Generated: 314047
% 146.08/146.58 Kept: 88638
% 146.08/146.58 Inuse: 1389
% 146.08/146.58 Deleted: 1793
% 146.08/146.58 Deletedinuse: 6
% 146.08/146.58
% 146.08/146.58 Resimplifying inuse:
% 146.08/146.58 Done
% 146.08/146.58
% 146.08/146.58 Resimplifying inuse:
% 146.08/146.58 Done
% 146.08/146.58
% 146.08/146.58
% 146.08/146.58 Intermediate Status:
% 146.08/146.58 Generated: 324518
% 146.08/146.58 Kept: 90668
% 146.08/146.58 Inuse: 1423
% 146.08/146.58 Deleted: 1795
% 146.08/146.58 Deletedinuse: 8
% 146.08/146.58
% 146.08/146.58 Resimplifying inuse:
% 146.08/146.58 Done
% 146.08/146.58
% 146.08/146.58 Resimplifying inuse:
% 146.08/146.58 Done
% 146.08/146.58
% 146.08/146.58
% 146.08/146.58 Intermediate Status:
% 146.08/146.58 Generated: 334411
% 146.08/146.58 Kept: 92692
% 146.08/146.58 Inuse: 1460
% 146.08/146.58 Deleted: 1811
% 146.08/146.58 Deletedinuse: 24
% 146.08/146.58
% 146.08/146.58 Resimplifying inuse:
% 146.08/146.58 Done
% 146.08/146.58
% 146.08/146.58 Resimplifying inuse:
% 146.08/146.58 Done
% 146.08/146.58
% 146.08/146.58 *** allocated 6568290 integers for clauses
% 146.08/146.58
% 146.08/146.58 Intermediate Status:
% 146.08/146.58 Generated: 342547
% 146.08/146.58 Kept: 94831
% 146.08/146.58 Inuse: 1486
% 146.08/146.58 Deleted: 1811
% 146.08/146.58 Deletedinuse: 24
% 146.08/146.58
% 146.08/146.58 Resimplifying inuse:
% 146.08/146.58 Done
% 146.08/146.58
% 146.08/146.58 Resimplifying inuse:
% 146.08/146.58 Done
% 146.08/146.58
% 146.08/146.58
% 146.08/146.58 Intermediate Status:
% 146.08/146.58 Generated: 352316
% 146.08/146.58 Kept: 96848
% 146.08/146.58 Inuse: 1518
% 146.08/146.58 Deleted: 1816
% 146.08/146.58 Deletedinuse: 24
% 146.08/146.58
% 146.08/146.58 Resimplifying inuse:
% 146.08/146.58 Done
% 146.08/146.58
% 146.08/146.58
% 146.08/146.58 Intermediate Status:
% 146.08/146.58 Generated: 360518
% 146.08/146.58 Kept: 98871
% 146.08/146.58 Inuse: 1546
% 146.08/146.58 Deleted: 1816
% 146.08/146.58 Deletedinuse: 24
% 146.08/146.58
% 146.08/146.58 Resimplifying inuse:
% 146.08/146.58 Done
% 146.08/146.58
% 146.08/146.58 Resimplifying inuse:
% 146.08/146.58 Done
% 146.08/146.58
% 146.08/146.58
% 146.08/146.58 Intermediate Status:
% 146.08/146.58 Generated: 373199
% 146.08/146.58 Kept: 100888
% 146.08/146.58 Inuse: 1588
% 146.08/146.58 Deleted: 1816
% 146.08/146.58 Deletedinuse: 24
% 146.08/146.58
% 146.08/146.58 Resimplifying inuse:
% 146.08/146.58 Done
% 146.08/146.58
% 146.08/146.58
% 146.08/146.58 Intermediate Status:
% 146.08/146.58 Generated: 406219
% 146.08/146.58 Kept: 104558
% 146.08/146.58 Inuse: 1596
% 146.08/146.58 Deleted: 1816
% 146.08/146.58 Deletedinuse: 24
% 146.08/146.58
% 146.08/146.58 Resimplifying inuse:
% 146.08/146.58 Done
% 146.08/146.58
% 146.08/146.58 Resimplifying clauses:
% 146.08/146.58 Done
% 146.08/146.58
% 146.08/146.58 Resimplifying inuse:
% 146.08/146.58 Done
% 146.08/146.58
% 146.08/146.58
% 146.08/146.58 Intermediate Status:
% 146.08/146.58 Generated: 420762
% 146.08/146.58 Kept: 106581
% 146.08/146.58 Inuse: 1613
% 146.08/146.58 Deleted: 9799
% 146.08/146.58 Deletedinuse: 27
% 146.08/146.58
% 146.08/146.58 Resimplifying inuse:
% 146.08/146.58 Done
% 146.08/146.58
% 146.08/146.58 Resimplifying inuse:
% 146.08/146.58 Done
% 146.08/146.58
% 146.08/146.58
% 279.44/279.91 Intermediate Status:
% 279.44/279.91 Generated: 430430
% 279.44/279.91 Kept: 108785
% 279.44/279.91 Inuse: 1646
% 279.44/279.91 Deleted: 9799
% 279.44/279.91 Deletedinuse: 27
% 279.44/279.91
% 279.44/279.91 Resimplifying inuse:
% 279.44/279.91 Done
% 279.44/279.91
% 279.44/279.91
% 279.44/279.91 Intermediate Status:
% 279.44/279.91 Generated: 439144
% 279.44/279.91 Kept: 110886
% 279.44/279.91 Inuse: 1656
% 279.44/279.91 Deleted: 9800
% 279.44/279.91 Deletedinuse: 28
% 279.44/279.91
% 279.44/279.91 Resimplifying inuse:
% 279.44/279.91 Done
% 279.44/279.91
% 279.44/279.91 Resimplifying inuse:
% 279.44/279.91 Done
% 279.44/279.91
% 279.44/279.91
% 279.44/279.91 Intermediate Status:
% 279.44/279.91 Generated: 447674
% 279.44/279.91 Kept: 112941
% 279.44/279.91 Inuse: 1667
% 279.44/279.91 Deleted: 9800
% 279.44/279.91 Deletedinuse: 28
% 279.44/279.91
% 279.44/279.91 Resimplifying inuse:
% 279.44/279.91 Done
% 279.44/279.91
% 279.44/279.91 Resimplifying inuse:
% 279.44/279.91 Done
% 279.44/279.91
% 279.44/279.91
% 279.44/279.91 Intermediate Status:
% 279.44/279.91 Generated: 455534
% 279.44/279.91 Kept: 115031
% 279.44/279.91 Inuse: 1691
% 279.44/279.91 Deleted: 9800
% 279.44/279.91 Deletedinuse: 28
% 279.44/279.91
% 279.44/279.91 Resimplifying inuse:
% 279.44/279.91 Done
% 279.44/279.91
% 279.44/279.91 Resimplifying inuse:
% 279.44/279.91 Done
% 279.44/279.91
% 279.44/279.91
% 279.44/279.91 Intermediate Status:
% 279.44/279.91 Generated: 462908
% 279.44/279.91 Kept: 117058
% 279.44/279.91 Inuse: 1715
% 279.44/279.91 Deleted: 9800
% 279.44/279.91 Deletedinuse: 28
% 279.44/279.91
% 279.44/279.91 Resimplifying inuse:
% 279.44/279.91 Done
% 279.44/279.91
% 279.44/279.91
% 279.44/279.91 Intermediate Status:
% 279.44/279.91 Generated: 471943
% 279.44/279.91 Kept: 119377
% 279.44/279.91 Inuse: 1731
% 279.44/279.91 Deleted: 9800
% 279.44/279.91 Deletedinuse: 28
% 279.44/279.91
% 279.44/279.91 Resimplifying inuse:
% 279.44/279.91 Done
% 279.44/279.91
% 279.44/279.91 Resimplifying inuse:
% 279.44/279.91 Done
% 279.44/279.91
% 279.44/279.91 *** allocated 4378860 integers for termspace/termends
% 279.44/279.91
% 279.44/279.91 Intermediate Status:
% 279.44/279.91 Generated: 497462
% 279.44/279.91 Kept: 125743
% 279.44/279.91 Inuse: 1741
% 279.44/279.91 Deleted: 9800
% 279.44/279.91 Deletedinuse: 28
% 279.44/279.91
% 279.44/279.91 Resimplifying inuse:
% 279.44/279.91 Done
% 279.44/279.91
% 279.44/279.91 Resimplifying clauses:
% 279.44/279.91 Done
% 279.44/279.91
% 279.44/279.91
% 279.44/279.91 Intermediate Status:
% 279.44/279.91 Generated: 505809
% 279.44/279.91 Kept: 130196
% 279.44/279.91 Inuse: 1751
% 279.44/279.91 Deleted: 10320
% 279.44/279.91 Deletedinuse: 28
% 279.44/279.91
% 279.44/279.91 Resimplifying inuse:
% 279.44/279.91 Done
% 279.44/279.91
% 279.44/279.91
% 279.44/279.91 Intermediate Status:
% 279.44/279.91 Generated: 524855
% 279.44/279.91 Kept: 133549
% 279.44/279.91 Inuse: 1766
% 279.44/279.91 Deleted: 10320
% 279.44/279.91 Deletedinuse: 28
% 279.44/279.91
% 279.44/279.91 Resimplifying inuse:
% 279.44/279.91 Done
% 279.44/279.91
% 279.44/279.91
% 279.44/279.91 Intermediate Status:
% 279.44/279.91 Generated: 540909
% 279.44/279.91 Kept: 136145
% 279.44/279.91 Inuse: 1771
% 279.44/279.91 Deleted: 10320
% 279.44/279.91 Deletedinuse: 28
% 279.44/279.91
% 279.44/279.91 Resimplifying inuse:
% 279.44/279.91 Done
% 279.44/279.91
% 279.44/279.91 Resimplifying inuse:
% 279.44/279.91 Done
% 279.44/279.91
% 279.44/279.91
% 279.44/279.91 Intermediate Status:
% 279.44/279.91 Generated: 551331
% 279.44/279.91 Kept: 138169
% 279.44/279.91 Inuse: 1804
% 279.44/279.91 Deleted: 10320
% 279.44/279.91 Deletedinuse: 28
% 279.44/279.91
% 279.44/279.91 Resimplifying inuse:
% 279.44/279.91 Done
% 279.44/279.91
% 279.44/279.91
% 279.44/279.91 Intermediate Status:
% 279.44/279.91 Generated: 560425
% 279.44/279.91 Kept: 140396
% 279.44/279.91 Inuse: 1816
% 279.44/279.91 Deleted: 10320
% 279.44/279.91 Deletedinuse: 28
% 279.44/279.91
% 279.44/279.91 Resimplifying inuse:
% 279.44/279.91 Done
% 279.44/279.91
% 279.44/279.91 *** allocated 9852435 integers for clauses
% 279.44/279.91 Resimplifying inuse:
% 279.44/279.91 Done
% 279.44/279.91
% 279.44/279.91
% 279.44/279.91 Intermediate Status:
% 279.44/279.91 Generated: 570964
% 279.44/279.91 Kept: 142443
% 279.44/279.91 Inuse: 1849
% 279.44/279.91 Deleted: 10320
% 279.44/279.91 Deletedinuse: 28
% 279.44/279.91
% 279.44/279.91 Resimplifying inuse:
% 279.44/279.91 Done
% 279.44/279.91
% 279.44/279.91
% 279.44/279.91 Intermediate Status:
% 279.44/279.91 Generated: 578746
% 279.44/279.91 Kept: 145185
% 279.44/279.91 Inuse: 1856
% 279.44/279.91 Deleted: 10320
% 279.44/279.91 Deletedinuse: 28
% 279.44/279.91
% 279.44/279.91 Resimplifying inuse:
% 279.44/279.91 Done
% 279.44/279.91
% 279.44/279.91
% 279.44/279.91 Intermediate Status:
% 279.44/279.91 Generated: 587010
% 279.44/279.91 Kept: 148391
% 279.44/279.91 Inuse: 1864
% 279.44/279.91 Deleted: 10320
% 279.44/279.91 Deletedinuse: 28
% 279.44/279.91
% 279.44/279.91 Resimplifying inuse:
% 279.44/279.91 Done
% 279.44/279.91
% 279.44/279.91 Resimplifying clauses:
% 279.44/279.91 Done
% 279.44/279.91
% 279.44/279.91
% 279.44/279.91 Intermediate Status:
% 279.44/279.91 Generated: 600105
% 279.44/279.91 Kept: 154877
% 279.44/279.91 Inuse: 1866
% 279.44/279.91 Deleted: 10902
% 279.44/279.91 Deletedinuse: 28
% 279.44/279.91
% 279.44/279.91 Resimplifying inuse:
% 279.44/279.91 Done
% 279.44/279.91
% 279.44/279.91 Resimplifying inuse:
% 279.44/279.91 Done
% 279.44/279.91
% 279.44/279.91
% 279.44/279.91 Intermediate Status:
% 279.44/279.91 Generated: 620867
% 279.44/279.91 Kept: 162325
% 279.44/279.91 Inuse: 1879
% 279.44/279.91 Deleted: 10908
% 279.44/279.91 Deletedinuse: 32
% 279.44/279.91
% 279.44/279.91 Resimplifying inuse:
% 279.44/279.91 Done
% 279.44/279.91
% 279.44/279.91 Resimplifying inuse:
% 279.44/279.91 Done
% 279.44/279.91
% 279.44/279.91
% 279.44/279.91 Intermediate Status:
% 279.44/279.91 Generated: 633269
% 279.44/279.91 Kept: 166524
% 279.44/279.91 Inuse: 1883
% 279.44/279.91 Deleted: 10924
% 279.44/279.91 Deletedinuse: 32
% 279.44/279.91
% 279.44/279.91 Resimplifying inuse:
% 279.44/279.91 Done
% 279.44/279.91
% 279.44/279.91
% 279.44/279.91 Intermediate Status:
% 279.44/279.91 Generated: 640732
% 279.44/279.91 Kept: 171076
% 279.44/279.91 Inuse: 1886
% 279.44/279.91 Deleted: 10936
% 279.44/279.91 Deletedinuse: 32
% 279.44/279.91
% 279.44/279.91 Resimplifying inuse:
% 279.44/279.91 Done
% 279.44/279.91
% 279.44/279.91 Resimplifying clauses:
% 279.44/279.91 Done
% 279.44/279.91
% 279.44/279.91 Resimplifying inuse:
% 279.44/279.91 Done
% 279.44/279.91
% 279.44/279.91
% 279.44/279.91 Intermediate Status:
% 279.44/279.91 Generated: 652174
% 279.44/279.91 Kept: 173876
% 279.44/279.91 Inuse: 1901
% 279.44/279.91 Deleted: 11455
% 279.44/279.91 Deletedinuse: 39
% 279.44/279.91
% 279.44/279.91 Resimplifying inuse:
% 279.44/279.91 Done
% 279.44/279.91
% 279.44/279.91
% 279.44/279.91 Intermediate Status:
% 279.44/279.91 Generated: 661948
% 279.44/279.91 Kept: 179283
% 279.44/279.91 Inuse: 1911
% 279.44/279.91 Deleted: 11456
% 279.44/279.91 Deletedinuse: 40
% 279.44/279.91
% 279.44/279.91 Resimplifying inuse:
% 279.44/279.91 Done
% 279.44/279.91
% 279.44/279.91
% 279.44/279.91 Intermediate Status:
% 279.44/279.91 Generated: 669905
% 279.44/279.91 Kept: 184090
% 279.44/279.91 Inuse: 1916
% 279.44/279.91 Deleted: 11457
% 279.44/279.91 Deletedinuse: 41
% 279.44/279.91
% 279.44/279.91 Resimplifying inuse:
% 279.44/279.91 Done
% 279.44/279.91
% 279.44/279.91
% 279.44/279.91 Intermediate Status:
% 279.44/279.91 Generated: 677880
% 279.44/279.91 Kept: 188918
% 279.44/279.91 Inuse: 1921
% 279.44/279.91 Deleted: 11457
% 279.44/279.91 Deletedinuse: 41
% 279.44/279.91
% 279.44/279.91 Resimplifying inuse:
% 279.44/279.91 Done
% 279.44/279.91
% 279.44/279.91 Resimplifying inuse:
% 279.44/279.91 Done
% 279.44/279.91
% 279.44/279.91
% 279.44/279.91 Intermediate Status:
% 279.44/279.91 Generated: 689330
% 279.44/279.91 Kept: 194833
% 279.44/279.91 Inuse: 1936
% 279.44/279.91 Deleted: 11457
% 279.44/279.91 Deletedinuse: 41
% 279.44/279.91
% 279.44/279.91 Resimplifying inuse:
% 279.44/279.91 Done
% 279.44/279.91
% 279.44/279.91 Resimplifying clauses:
% 279.44/279.91 Done
% 279.44/279.91
% 279.44/279.91 *** allocated 6568290 integers for termspace/termends
% 279.44/279.91
% 279.44/279.91 Intermediate SCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------