TSTP Solution File: SWW210+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWW210+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 23:21:15 EDT 2022
% Result : Timeout 300.03s 300.52s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW210+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.14 % Command : bliksem %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Sat Jun 4 10:41:48 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.94/1.57 *** allocated 10000 integers for termspace/termends
% 0.94/1.57 *** allocated 10000 integers for clauses
% 0.94/1.57 *** allocated 10000 integers for justifications
% 0.94/1.57 *** allocated 15000 integers for termspace/termends
% 0.94/1.57 *** allocated 22500 integers for termspace/termends
% 0.94/1.57 *** allocated 33750 integers for termspace/termends
% 0.94/1.57 Bliksem 1.12
% 0.94/1.57
% 0.94/1.57
% 0.94/1.57 Automatic Strategy Selection
% 0.94/1.57
% 0.94/1.57 *** allocated 50625 integers for termspace/termends
% 0.94/1.57 *** allocated 75937 integers for termspace/termends
% 0.94/1.57 *** allocated 113905 integers for termspace/termends
% 0.94/1.57
% 0.94/1.57 Clauses:
% 0.94/1.57
% 0.94/1.57 { ! hAPP( Y, skol1( X, Y ) ) = hAPP( X, skol1( X, Y ) ), Y = X }.
% 0.94/1.57 { c_SEQ_Osubseq( v_f____ ) }.
% 0.94/1.57 { c_SEQ_Osubseq( v_ga____ ) }.
% 0.94/1.57 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), v_e____ ) }.
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, skol2, X ),
% 0.94/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.57 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.94/1.57 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_Complex_ORe( v_s( hAPP
% 0.94/1.57 ( v_f____, X ) ) ), v_x____ ) ), c_Rings_Oinverse__class_Odivide(
% 0.94/1.57 tc_RealDef_Oreal, v_e____, c_Int_Onumber__class_Onumber__of(
% 0.94/1.57 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, skol3, X ),
% 0.94/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.57 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.94/1.57 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_Complex_OIm( v_s( hAPP
% 0.94/1.57 ( v_f____, hAPP( v_ga____, X ) ) ) ), v_y____ ) ),
% 0.94/1.57 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, v_e____,
% 0.94/1.57 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.94/1.57 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.94/1.57 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.94/1.57 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, v_e____,
% 0.94/1.57 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.94/1.57 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.94/1.57 { ! class_Fields_Ofield( X ), ! class_Int_Onumber__ring( X ),
% 0.94/1.57 c_Rings_Oinverse__class_Odivide( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.94/1.57 X, c_Int_OBit1( c_Int_OPls ) ) ) = Y }.
% 0.94/1.57 { ! class_Fields_Ofield( X ), ! class_Int_Onumber__ring( X ),
% 0.94/1.57 c_Rings_Oinverse__class_Odivide( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.94/1.57 X, c_Int_OBit1( c_Int_OPls ) ) ) = Y }.
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.94/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, skol4( X ), Y ),
% 0.94/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.57 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.94/1.57 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_Complex_OIm( v_s( hAPP
% 0.94/1.57 ( v_f____, hAPP( v_ga____, Y ) ) ) ), v_y____ ) ), X ) }.
% 0.94/1.57 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.94/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 0.94/1.57 c_Groups_Ominus__class_Ominus( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.94/1.57 c_Groups_Oabs__class_Oabs( X, Y ) ) ), c_Groups_Oabs__class_Oabs( X,
% 0.94/1.57 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) ) }.
% 0.94/1.57 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.94/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X,
% 0.94/1.57 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ),
% 0.94/1.57 c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Z, Y ) )
% 0.94/1.57 ) }.
% 0.94/1.57 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.94/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X,
% 0.94/1.57 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ),
% 0.94/1.57 c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Y, Z ) )
% 0.94/1.57 ) }.
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.94/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, skol5( X ), Y ),
% 0.94/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.57 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.94/1.57 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_Complex_ORe( v_s( hAPP
% 0.94/1.57 ( v_f____, Y ) ) ), v_x____ ) ), X ) }.
% 0.94/1.57 { ! class_Int_Onumber( X ), ! class_Orderings_Olinorder( X ), !
% 0.94/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.94/1.57 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ), !
% 0.94/1.57 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.94/1.57 ), c_Int_Onumber__class_Onumber__of( X, Z ) ) }.
% 0.94/1.57 { ! class_Int_Onumber( X ), ! class_Orderings_Olinorder( X ),
% 0.94/1.57 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.94/1.57 ), c_Int_Onumber__class_Onumber__of( X, Z ) ),
% 0.94/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.94/1.57 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.94/1.57 { ! class_Orderings_Opreorder( X ), c_Orderings_Oord__class_Oless__eq( X, Y
% 0.94/1.57 , Y ) }.
% 0.94/1.57 { ! Y = X, c_Complex_ORe( Y ) = c_Complex_ORe( X ) }.
% 0.94/1.57 { ! Y = X, c_Complex_OIm( Y ) = c_Complex_OIm( X ) }.
% 0.94/1.57 { ! c_Complex_ORe( Y ) = c_Complex_ORe( X ), ! c_Complex_OIm( Y ) =
% 0.94/1.57 c_Complex_OIm( X ), Y = X }.
% 0.94/1.57 { ! c_Complex_ORe( Y ) = c_Complex_ORe( X ), ! c_Complex_OIm( Y ) =
% 0.94/1.57 c_Complex_OIm( X ), Y = X }.
% 0.94/1.57 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), v_r ) }.
% 0.94/1.57 { c_Complex_OIm( c_Int_Onumber__class_Onumber__of( tc_Complex_Ocomplex, X )
% 0.94/1.57 ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.94/1.57 { ! class_Groups_Ozero( X ), ! c_Groups_Ozero__class_Ozero( X ) = Y, Y =
% 0.94/1.57 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.57 { ! class_Groups_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.57 c_Groups_Ozero__class_Ozero( X ) = Y }.
% 0.94/1.57 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, X, c_Int_OPls ) = X }.
% 0.94/1.57 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0
% 0.94/1.57 ( X ) ) = c_Int_OBit0( c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X )
% 0.94/1.57 ) }.
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.94/1.57 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.94/1.57 .
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.94/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1
% 0.94/1.57 ( X ) ) }.
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.94/1.57 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.94/1.57 .
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.94/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1
% 0.94/1.57 ( X ) ) }.
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OPls ) }
% 0.94/1.57 .
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.94/1.57 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.94/1.57 .
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.94/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0
% 0.94/1.57 ( X ) ) }.
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.94/1.57 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.94/1.57 .
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.94/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0
% 0.94/1.57 ( X ) ) }.
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.94/1.57 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.94/1.57 ) }.
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.94/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.94/1.57 c_Int_OBit1( X ) ) }.
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.94/1.57 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.94/1.57 ) }.
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.94/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.94/1.57 c_Int_OBit1( X ) ) }.
% 0.94/1.57 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OPls )
% 0.94/1.57 }.
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.94/1.57 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.94/1.57 ) }.
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.94/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.94/1.57 c_Int_OBit0( X ) ) }.
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.94/1.57 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.94/1.57 ) }.
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.94/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.94/1.57 c_Int_OBit0( X ) ) }.
% 0.94/1.57 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ominus__class_Ominus( X, Z, Y
% 0.94/1.57 ) = c_Groups_Ozero__class_Ozero( X ), Z = Y }.
% 0.94/1.57 { ! class_Groups_Ogroup__add( X ), ! Z = Y, c_Groups_Ominus__class_Ominus(
% 0.94/1.57 X, Z, Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.57 { ! class_Groups_Oab__group__add( X ), ! Z = Y,
% 0.94/1.57 c_Groups_Ominus__class_Ominus( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.94/1.57 ) }.
% 0.94/1.57 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.94/1.57 Z, Y ) = c_Groups_Ozero__class_Ozero( X ), Z = Y }.
% 0.94/1.57 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Y, Y )
% 0.94/1.57 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.57 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Y,
% 0.94/1.57 c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.94/1.57 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.94/1.57 c_Groups_Oabs__class_Oabs( X, Y ) = c_Groups_Ozero__class_Ozero( X ), Y =
% 0.94/1.57 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.57 { ! class_Groups_Oordered__ab__group__add__abs( X ), ! Y =
% 0.94/1.57 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oabs__class_Oabs( X, Y ) =
% 0.94/1.57 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.57 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.94/1.57 c_Groups_Oabs__class_Oabs( X, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.94/1.57 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( X ),
% 0.94/1.57 c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls )
% 0.94/1.57 }.
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.94/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( X ),
% 0.94/1.57 c_Int_OPls ) }.
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit1( X
% 0.94/1.57 ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ),
% 0.94/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit1( X )
% 0.94/1.57 ) }.
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.94/1.57 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.94/1.57 .
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.94/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.94/1.57 c_Int_OBit0( X ) ) }.
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.94/1.57 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.94/1.57 .
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.94/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.94/1.57 c_Int_OBit0( X ) ) }.
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.94/1.57 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.94/1.57 ) }.
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.94/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1
% 0.94/1.57 ( X ) ) }.
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.94/1.57 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.94/1.57 ) }.
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.94/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1
% 0.94/1.57 ( X ) ) }.
% 0.94/1.57 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1
% 0.94/1.57 ( X ) ) = c_Int_OBit0( c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X )
% 0.94/1.57 ) }.
% 0.94/1.57 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0
% 0.94/1.57 ( X ) ) = c_Int_OBit1( c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X )
% 0.94/1.57 ) }.
% 0.94/1.57 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OPls, c_Int_OBit0( X )
% 0.94/1.57 ) = c_Int_OBit0( c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OPls
% 0.94/1.57 , X ) ) }.
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ),
% 0.94/1.57 c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls )
% 0.94/1.57 }.
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.94/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ), c_Int_OPls
% 0.94/1.57 ) }.
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.94/1.57 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.94/1.57 .
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.94/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0
% 0.94/1.57 ( X ) ) }.
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.94/1.57 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.94/1.57 .
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.94/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0
% 0.94/1.57 ( X ) ) }.
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ),
% 0.94/1.57 c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls )
% 0.94/1.57 }.
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.94/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ), c_Int_OPls
% 0.94/1.57 ) }.
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit0( X
% 0.94/1.57 ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ),
% 0.94/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit0( X )
% 0.94/1.57 ) }.
% 0.94/1.57 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.57 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.94/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X, Z
% 0.94/1.57 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.57 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X, Z
% 0.94/1.57 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.57 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit1
% 0.94/1.57 ( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X )
% 0.94/1.57 }.
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ),
% 0.94/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit1(
% 0.94/1.57 X ) ) }.
% 0.94/1.57 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.57 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.94/1.57 X, c_Groups_Ominus__class_Ominus( X, Z, Y ), c_Groups_Ozero__class_Ozero
% 0.94/1.57 ( X ) ) }.
% 0.94/1.57 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Ominus__class_Ominus( X, Z, Y
% 0.94/1.57 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.94/1.57 , Z, Y ) }.
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.94/1.57 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.94/1.57 ) }.
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.94/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.94/1.57 c_Int_OBit1( X ) ) }.
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.94/1.57 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.94/1.57 ) }.
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.94/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.94/1.57 c_Int_OBit1( X ) ) }.
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( X ),
% 0.94/1.57 c_Int_OPls ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X,
% 0.94/1.57 c_Int_OPls ) }.
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ),
% 0.94/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( X ),
% 0.94/1.57 c_Int_OPls ) }.
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit0
% 0.94/1.57 ( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X )
% 0.94/1.57 }.
% 0.94/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ),
% 0.94/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit0(
% 0.94/1.57 X ) ) }.
% 0.94/1.57 { c_Complex_ORe( c_Int_Onumber__class_Onumber__of( tc_Complex_Ocomplex, X )
% 0.94/1.57 ) = c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, X ) }.
% 0.94/1.57 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.57 c_Int_OPls ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.57 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.94/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.57 ), c_Groups_Oabs__class_Oabs( X, Y ) = Y }.
% 0.94/1.57 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.94/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Y ),
% 0.94/1.57 c_Groups_Ozero__class_Ozero( X ) ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.57 }.
% 0.94/1.57 { ! class_Groups_Oordered__ab__group__add__abs( X ), ! Y =
% 0.94/1.57 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.57 c_Groups_Oabs__class_Oabs( X, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.57 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.94/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.57 c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.94/1.57 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.94/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.57 c_Groups_Oabs__class_Oabs( X, Y ) = Y }.
% 0.94/1.57 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.94/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.57 c_Groups_Oabs__class_Oabs( X, Y ) ), ! Y = c_Groups_Ozero__class_Ozero( X
% 0.94/1.57 ) }.
% 0.94/1.57 { ! class_Groups_Oordered__ab__group__add__abs( X ), Y =
% 0.94/1.57 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.57 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.94/1.57 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.94/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Oabs__class_Oabs( X, Y ),
% 0.94/1.57 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.57 { c_Complex_ORe( c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, Y, X )
% 0.94/1.57 ) = c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_Complex_ORe( Y )
% 0.94/1.57 , c_Complex_ORe( X ) ) }.
% 0.94/1.57 { c_Complex_OIm( c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, Y, X )
% 0.94/1.57 ) = c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_Complex_OIm( Y )
% 0.94/1.57 , c_Complex_OIm( X ) ) }.
% 0.94/1.57 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.94/1.57 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ) }.
% 0.94/1.57 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ),
% 0.94/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.94/1.57 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.57 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.57 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.94/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, Y ) }.
% 0.94/1.57 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, Y ),
% 0.94/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.57 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.94/1.57 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.57 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.94/1.57 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless(
% 0.94/1.57 tc_Int_Oint, Y, c_Int_OPls ) }.
% 0.94/1.57 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.94/1.57 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.94/1.57 ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.57 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.57 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.94/1.57 ( tc_Int_Oint, c_Int_OPls, Y ) }.
% 0.94/1.57 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, Y ),
% 0.94/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.57 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.94/1.57 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber__ring( X )
% 0.94/1.57 , c_Rings_Oinverse__class_Odivide( X, Y, c_Int_Onumber__class_Onumber__of
% 0.94/1.57 ( X, c_Int_OPls ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.57 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.94/1.57 , Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.94/1.57 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.94/1.57 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.94/1.57 hAPP( Y, U ) ) }.
% 0.94/1.57 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.94/1.57 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.94/1.57 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.94/1.57 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.94/1.57 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Y = Z }.
% 0.94/1.57 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.57 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, T ),
% 0.94/1.57 c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.94/1.57 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.94/1.57 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Z = Y }.
% 0.94/1.57 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.94/1.57 , Y ), ! Z = T, c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.94/1.57 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y
% 0.94/1.57 ), ! Y = T, c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.94/1.57 { ! class_Orderings_Oorder( X ), ! Z = Y, !
% 0.94/1.57 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.94/1.57 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.94/1.57 { ! class_Orderings_Oord( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.94/1.57 ( X, Y, T ), c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.94/1.57 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.94/1.57 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Y = Z }.
% 0.94/1.57 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.94/1.57 , Y ), ! Y = Z, c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.94/1.57 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.94/1.57 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.94/1.57 hAPP( Y, U ) ) }.
% 0.94/1.57 { ! class_Orderings_Opreorder( X ), ! Z = Y,
% 0.94/1.57 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.57 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.94/1.57 ( X, Z, Y ) }.
% 0.94/1.57 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.94/1.57 ( X, Y, Z ) }.
% 0.94/1.57 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.94/1.58 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Z = Y }.
% 0.94/1.58 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.94/1.58 , Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.94/1.58 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.94/1.58 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.94/1.58 hAPP( Y, U ) ) }.
% 0.94/1.58 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, hAPP
% 0.94/1.58 ( Z, skol6( X, Y, Z ) ), hAPP( Y, skol6( X, Y, Z ) ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ) }.
% 0.94/1.58 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.94/1.58 ), Z = Y, c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.94/1.58 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.58 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.94/1.58 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.94/1.58 , ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.94/1.58 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.58 Y ), ! c_Orderings_Oord__class_Oless( X, Y, T ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.94/1.58 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.94/1.58 , ! Z = T, c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.94/1.58 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y ),
% 0.94/1.58 ! Y = T, c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.94/1.58 { ! class_Orderings_Oorder( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless(
% 0.94/1.58 X, T, Y ), c_Orderings_Oord__class_Oless( X, T, Z ) }.
% 0.94/1.58 { ! class_Orderings_Oord( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless( X
% 0.94/1.58 , Y, T ), c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.94/1.58 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.94/1.58 , ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.94/1.58 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.58 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.94/1.58 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.94/1.58 , ! Y = Z }.
% 0.94/1.58 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.94/1.58 , ! Z = Y }.
% 0.94/1.58 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.58 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.94/1.58 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.58 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.94/1.58 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.94/1.58 , ! Z = Y }.
% 0.94/1.58 { ! class_Orderings_Olinorder( X ), Z = Y, c_Orderings_Oord__class_Oless( X
% 0.94/1.58 , Z, Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.94/1.58 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.94/1.58 ), c_Orderings_Oord__class_Oless( X, Y, Z ), Y = Z }.
% 0.94/1.58 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.94/1.58 ), ! Y = Z, ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.94/1.58 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.94/1.58 ), Z = Y, c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.94/1.58 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.94/1.58 ), c_Orderings_Oord__class_Oless( X, Y, Z ), Z = Y }.
% 0.94/1.58 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.94/1.58 Z ), ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.94/1.58 { ! class_Orderings_Olinorder( X ), ! Z = Y, !
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.94/1.58 { ! class_Orderings_Olinorder( X ), Z = Y, c_Orderings_Oord__class_Oless( X
% 0.94/1.58 , Z, Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.94/1.58 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.58 Y ), ! Z = Y }.
% 0.94/1.58 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.94/1.58 Z ), ! Z = Y }.
% 0.94/1.58 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.94/1.58 Y ) }.
% 0.94/1.58 { ! class_Int_Onumber__ring( X ), ! class_Int_Oring__char__0( X ), !
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( X, Y ), Z = Y }.
% 0.94/1.58 { ! class_Int_Onumber__ring( X ), ! class_Int_Oring__char__0( X ), ! Z = Y
% 0.94/1.58 , c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.94/1.58 { ! class_Int_Onumber( X ), ! c_Int_Onumber__class_Onumber__of( X, Z ) = Y
% 0.94/1.58 , Y = c_Int_Onumber__class_Onumber__of( X, Z ) }.
% 0.94/1.58 { ! class_Int_Onumber( X ), ! Y = c_Int_Onumber__class_Onumber__of( X, Z )
% 0.94/1.58 , c_Int_Onumber__class_Onumber__of( X, Z ) = Y }.
% 0.94/1.58 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.94/1.58 U, T ) = c_Groups_Ominus__class_Ominus( X, Z, Y ), ! U = T, Z = Y }.
% 0.94/1.58 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.94/1.58 U, T ) = c_Groups_Ominus__class_Ominus( X, Z, Y ), ! Z = Y, U = T }.
% 0.94/1.58 { ! c_Int_OBit1( Y ) = c_Int_OBit1( X ), Y = X }.
% 0.94/1.58 { ! Y = X, c_Int_OBit1( Y ) = c_Int_OBit1( X ) }.
% 0.94/1.58 { ! c_Int_OBit0( Y ) = c_Int_OBit0( X ), Y = X }.
% 0.94/1.58 { ! Y = X, c_Int_OBit0( Y ) = c_Int_OBit0( X ) }.
% 0.94/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.94/1.58 c_Groups_Oabs__class_Oabs( X, c_Groups_Oabs__class_Oabs( X, Y ) ) =
% 0.94/1.58 c_Groups_Oabs__class_Oabs( X, Y ) }.
% 0.94/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.58 class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.94/1.58 ) ) ) ) ) }.
% 0.94/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.58 class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.94/1.58 ) ) ) ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero
% 0.94/1.58 ( X ), Y ) }.
% 0.94/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.58 class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.94/1.58 ) ) ) ) ) }.
% 0.94/1.58 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.94/1.58 , Y ), ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.94/1.58 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.58 , Z, Y ), ! c_Orderings_Oord__class_Oless( X, Y, T ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.94/1.58 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.94/1.58 , ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.94/1.58 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.58 Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, T ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.94/1.58 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.94/1.58 , Y ), Y = Z, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.94/1.58 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.94/1.58 , Y ), Z = Y, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.94/1.58 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.94/1.58 , Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.94/1.58 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.58 , Z, Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.94/1.58 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.58 , Z, Y ), ! Z = Y, ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.94/1.58 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.58 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.58 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.58 , Z, Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.94/1.58 { ! class_Orderings_Oorder( X ), Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.94/1.58 ( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.94/1.58 { ! class_Orderings_Oorder( X ), Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.94/1.58 ( X, Z, Y ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.94/1.58 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.94/1.58 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ), Z = Y }.
% 0.94/1.58 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.94/1.58 ), ! Z = Y, c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.58 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.94/1.58 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.94/1.58 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.94/1.58 ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.94/1.58 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.94/1.58 , Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.94/1.58 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.94/1.58 , c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.58 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.94/1.58 ( X, Z, Y ) }.
% 0.94/1.58 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.58 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.58 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.58 Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.94/1.58 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.58 , Z, Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.94/1.58 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.94/1.58 , c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.58 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.94/1.58 , ! Z = Y }.
% 0.94/1.58 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.94/1.58 , Y ), Z = Y, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.94/1.58 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.94/1.58 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.94/1.58 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.94/1.58 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.94/1.58 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.94/1.58 Z ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.58 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.94/1.58 ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.94/1.58 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.58 , Y, Z ), ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.94/1.58 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.94/1.58 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z, Y ) }.
% 0.94/1.58 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z, Y ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.94/1.58 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.94/1.58 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.58 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.94/1.58 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.58 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.58 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.94/1.58 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, U, T ) }.
% 0.94/1.58 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.94/1.58 ), c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, Y ) }.
% 0.94/1.58 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, Y ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.94/1.58 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.94/1.58 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.58 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.94/1.58 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, U, T ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.94/1.58 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.58 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.94/1.58 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, Z, Y ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, U, T ) }.
% 0.94/1.58 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Z, Y ) ) =
% 0.94/1.58 c_Groups_Ominus__class_Ominus( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.94/1.58 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.94/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.94/1.58 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Oabs__class_Oabs( X, Y
% 0.94/1.58 ) ) }.
% 0.94/1.58 { ! c_Int_OBit1( X ) = c_Int_OPls }.
% 0.94/1.58 { ! c_Int_OPls = c_Int_OBit1( X ) }.
% 0.94/1.58 { ! c_Int_OBit1( Y ) = c_Int_OBit0( X ) }.
% 0.94/1.58 { ! c_Int_OBit0( Y ) = c_Int_OBit1( X ) }.
% 0.94/1.58 { ! c_Int_OBit0( X ) = c_Int_OPls, X = c_Int_OPls }.
% 0.94/1.58 { ! X = c_Int_OPls, c_Int_OBit0( X ) = c_Int_OPls }.
% 0.94/1.58 { ! c_Int_OPls = c_Int_OBit0( X ), c_Int_OPls = X }.
% 0.94/1.58 { ! c_Int_OPls = X, c_Int_OPls = c_Int_OBit0( X ) }.
% 0.94/1.58 { c_Int_OBit0( c_Int_OPls ) = c_Int_OPls }.
% 0.94/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.94/1.58 c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Z, Y ) )
% 0.94/1.58 = c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Y, Z )
% 0.94/1.58 ) }.
% 0.94/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.58 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oabs__class_Oabs( X, Z ), Y
% 0.94/1.58 ) = c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.94/1.58 , Y ) ) }.
% 0.94/1.58 { ! class_Fields_Olinordered__field( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.58 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.94/1.58 ) ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.94/1.58 X ), c_Rings_Oinverse__class_Odivide( X, Y, Z ) ) }.
% 0.94/1.58 { ! class_Fields_Olinordered__field( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.58 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.58 , Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.58 c_Rings_Oinverse__class_Odivide( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 0.94/1.58 X ) ) }.
% 0.94/1.58 { ! class_Fields_Olinordered__field( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.58 ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.94/1.58 ! c_Orderings_Oord__class_Oless__eq( X, T, U ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.94/1.58 , Y, U ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.94/1.58 { ! class_Fields_Olinordered__field( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.58 ), ! c_Orderings_Oord__class_Oless( X, Y, Z ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.94/1.58 ! c_Orderings_Oord__class_Oless__eq( X, T, U ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Y,
% 0.94/1.58 U ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.94/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.58 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, Y, Z ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.94/1.58 ! c_Orderings_Oord__class_Oless( X, T, U ), c_Orderings_Oord__class_Oless
% 0.94/1.58 ( X, c_Rings_Oinverse__class_Odivide( X, Y, U ),
% 0.94/1.58 c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.94/1.58 { ! class_Fields_Olinordered__field( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.58 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.94/1.58 ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.58 c_Rings_Oinverse__class_Odivide( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 0.94/1.58 X ) ) }.
% 0.94/1.58 { ! class_Fields_Olinordered__field( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.58 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.58 , Z ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.94/1.58 ( X ), c_Rings_Oinverse__class_Odivide( X, Y, Z ) ) }.
% 0.94/1.58 { c_SEQ_Osubseq( c_Fun_Ocomp( tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat,
% 0.94/1.58 v_f____, v_ga____ ) ) }.
% 0.94/1.58 { ! class_Fields_Olinordered__field( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.94/1.58 X ), c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.94/1.58 , Y ) ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oabs__class_Oabs(
% 0.94/1.58 X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.94/1.58 { ! class_Int_Onumber__ring( X ), c_Groups_Ozero__class_Ozero( X ) =
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ) }.
% 0.94/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.58 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.58 c_Rings_Oinverse__class_Odivide( X, Y, T ),
% 0.94/1.58 c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, v_s( X ) ), v_r ) }
% 0.94/1.58 .
% 0.94/1.58 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, X ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Y ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ominus__class_Ominus
% 0.94/1.58 ( tc_Int_Oint, Y, X ), c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ),
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.94/1.58 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( tc_fun( T,
% 0.94/1.58 X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ) }
% 0.94/1.58 .
% 0.94/1.58 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( tc_fun( T,
% 0.94/1.58 X ), Z, Y ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Y, Z )
% 0.94/1.58 }.
% 0.94/1.58 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.94/1.58 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Y, Z
% 0.94/1.58 ), c_Orderings_Oord__class_Oless( tc_fun( T, X ), Z, Y ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), ! Y = X }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), Y = X,
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), Y = X,
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Y ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Z ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, Z ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Y ), Y = X }.
% 0.94/1.58 { ! c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.58 { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) =
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ),
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) =
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.58 ( tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.58 tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.94/1.58 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OPls ) =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.58 { c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) =
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OPls ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ),
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ),
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.94/1.58 { c_Int_OPls = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.94/1.58 { c_Groups_Ozero__class_Ozero( tc_Int_Oint ) =
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OPls ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ),
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ),
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.94/1.58 { c_Complex_ORe( c_Groups_Ozero__class_Ozero( tc_Complex_Ocomplex ) ) =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.94/1.58 { c_Complex_OIm( c_Groups_Ozero__class_Ozero( tc_Complex_Ocomplex ) ) =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ), alpha1( X, Y ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.94/1.58 { ! alpha1( X, Y ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.94/1.58 { ! alpha1( X, Y ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), alpha1( X, Y ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ), alpha1( X
% 0.94/1.58 , Y ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.94/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ),
% 0.94/1.58 c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Odivide( X, Z, Y )
% 0.94/1.58 ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oabs__class_Oabs( X, Z
% 0.94/1.58 ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.94/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.58 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ), alpha2( X, Y, Z ), alpha31
% 0.94/1.58 ( X, Y, Z ) }.
% 0.94/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha2( X, Y, Z
% 0.94/1.58 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.94/1.58 ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.94/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha31( X, Y, Z
% 0.94/1.58 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.94/1.58 ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.94/1.58 { ! alpha31( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.58 { ! alpha31( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.94/1.58 ) ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ) ), alpha31( X, Y, Z ) }.
% 0.94/1.58 { ! alpha2( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.94/1.58 { ! alpha2( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.58 , Z ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), Y ), alpha2( X, Y, Z ) }.
% 0.94/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.94/1.58 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha3( X, Y, Z ), alpha32
% 0.94/1.58 ( X, Y, Z ) }.
% 0.94/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha3( X, Y, Z
% 0.94/1.58 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.94/1.58 ( X, Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha32( X, Y, Z
% 0.94/1.58 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.94/1.58 ( X, Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.58 { ! alpha32( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.58 { ! alpha32( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.94/1.58 ) ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.94/1.58 ( X ), Y ), alpha32( X, Y, Z ) }.
% 0.94/1.58 { ! alpha3( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.94/1.58 { ! alpha3( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.58 , Z ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ) ), alpha3( X, Y, Z ) }.
% 0.94/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.94/1.58 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.94/1.58 ( X, Z, T ), c_Rings_Oinverse__class_Odivide( X, Y, T ) ) }.
% 0.94/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.58 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.94/1.58 ( X, Y, T ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.94/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.58 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ), alpha4( X, Y, Z ), alpha33
% 0.94/1.58 ( X, Y, Z ) }.
% 0.94/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha4( X, Y, Z
% 0.94/1.58 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.58 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.94/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha33( X, Y, Z
% 0.94/1.58 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.58 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.94/1.58 { ! alpha33( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.58 { ! alpha33( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.94/1.58 , ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.58 ), alpha33( X, Y, Z ) }.
% 0.94/1.58 { ! alpha4( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.94/1.58 { ! alpha4( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.94/1.58 , ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.58 ), alpha4( X, Y, Z ) }.
% 0.94/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Z,
% 0.94/1.58 Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha5( X, Y, Z ), alpha34( X, Y
% 0.94/1.58 , Z ) }.
% 0.94/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha5( X, Y, Z
% 0.94/1.58 ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X
% 0.94/1.58 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha34( X, Y, Z
% 0.94/1.58 ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X
% 0.94/1.58 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.58 { ! alpha34( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.58 { ! alpha34( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.94/1.58 , ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.58 ), alpha34( X, Y, Z ) }.
% 0.94/1.58 { ! alpha5( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.94/1.58 { ! alpha5( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.94/1.58 , ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.58 ), alpha5( X, Y, Z ) }.
% 0.94/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.58 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.58 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless
% 0.94/1.58 ( X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X
% 0.94/1.58 , Y, Z ) ) }.
% 0.94/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.58 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.58 ( X, Z, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.94/1.58 ( X, c_Rings_Oinverse__class_Odivide( X, Y, Z ),
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.58 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.94/1.58 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless
% 0.94/1.58 ( X, c_Rings_Oinverse__class_Odivide( X, Y, Z ),
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.58 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.94/1.58 ( X, Z, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.94/1.58 ( X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X
% 0.94/1.58 , Y, Z ) ) }.
% 0.94/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.58 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.58 c_Rings_Oinverse__class_Odivide( X, Z, T ),
% 0.94/1.58 c_Rings_Oinverse__class_Odivide( X, Y, T ) ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, v_s(
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), v_r ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ),
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ),
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.94/1.58 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ), alpha6( X, Y
% 0.94/1.58 ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.94/1.58 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ), alpha35( X,
% 0.94/1.58 Y ) }.
% 0.94/1.58 { ! alpha6( X, Y ), ! alpha35( X, Y ), c_Orderings_Oord__class_Oless__eq(
% 0.94/1.58 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.94/1.58 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ) }.
% 0.94/1.58 { ! alpha35( X, Y ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), alpha35( X, Y ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), alpha35( X, Y ) }.
% 0.94/1.58 { ! alpha6( X, Y ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y
% 0.94/1.58 , c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), alpha6( X, Y ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), alpha6( X, Y ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( X ) ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit1( X ) ) ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit1( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.58 tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0
% 0.94/1.58 ( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, X ) }.
% 0.94/1.58 { c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) = X }.
% 0.94/1.58 { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.58 tc_Nat_Onat ), X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.58 ( tc_Nat_Onat ), X ), ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }
% 0.94/1.58 .
% 0.94/1.58 { Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ), ! Y = X }.
% 0.94/1.58 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.58 tc_Nat_Onat ), X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.58 ( tc_Nat_Onat ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.58 tc_Nat_Onat ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.94/1.58 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) = X }.
% 0.94/1.58 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, X ) =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.58 { Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.58 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.94/1.58 ( tc_Nat_Onat, Y, X ), Y ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! X =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! X = Y }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.94/1.58 ( tc_Nat_Onat, Y, Z ), X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.94/1.58 ( tc_Nat_Onat, Z, X ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.94/1.58 ) }.
% 0.94/1.58 { ! c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), !
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y = X }.
% 0.94/1.58 { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.58 tc_Nat_Onat ), X ) }.
% 0.94/1.58 { alpha96( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z ),
% 0.94/1.58 hBOOL( hAPP( hAPP( X, Y ), Z ) ) }.
% 0.94/1.58 { alpha96( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP
% 0.94/1.58 ( X, Y ), Z ) ) }.
% 0.94/1.58 { ! alpha96( X, Y, Z ), alpha99( X, Y, Z ), Z = Y }.
% 0.94/1.58 { ! alpha96( X, Y, Z ), alpha99( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z
% 0.94/1.58 ) ) }.
% 0.94/1.58 { ! alpha99( X, Y, Z ), alpha96( X, Y, Z ) }.
% 0.94/1.58 { ! Z = Y, hBOOL( hAPP( hAPP( X, Y ), Z ) ), alpha96( X, Y, Z ) }.
% 0.94/1.58 { ! alpha99( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y )
% 0.94/1.58 }.
% 0.94/1.58 { ! alpha99( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ), hBOOL( hAPP( hAPP(
% 0.94/1.58 X, Y ), Z ) ), alpha99( X, Y, Z ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_Complex_ORe( X ),
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, c_Complex_ORe( X ) ),
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, c_Complex_OIm( X ) ),
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Y ), Y = X }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Z ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, Z ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Y ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, X ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Ozero__class_Ozero(
% 0.94/1.58 tc_Int_Oint ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.94/1.58 ( tc_Nat_Onat, Y, Z ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z )
% 0.94/1.58 ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.94/1.58 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.94/1.58 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.94/1.58 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.94/1.58 ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ),
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ),
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ),
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.94/1.58 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.94/1.58 ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X = Z }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), ! X = Z,
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) = Y }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, Z ),
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ),
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ), Y ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.58 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = X,
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), Y = X }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.58 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = X,
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Y ), Y = X }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ) }.
% 0.94/1.58 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Y ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, X ) }.
% 0.94/1.58 { ! c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.58 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), Y = X }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.94/1.58 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), ! Y = X }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), Y = X,
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OPls ) ) }.
% 0.94/1.58 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.94/1.58 ( X, Y ) ) ), c_RealVector_Onorm__class_Onorm( X,
% 0.94/1.58 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) ) }.
% 0.94/1.58 { ! class_Int_Onumber__ring( X ), !
% 0.94/1.58 class_RealVector_Oreal__normed__algebra__1( X ),
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( X, c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.58 Y ) ) = c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, Y ) ) }.
% 0.94/1.58 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.94/1.58 ( X, Y ) ), c_RealVector_Onorm__class_Onorm( X,
% 0.94/1.58 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) ) }.
% 0.94/1.58 { ! class_RealVector_Oreal__normed__field( X ), Y =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), c_RealVector_Onorm__class_Onorm( X,
% 0.94/1.58 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.94/1.58 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.94/1.58 ( X, Y ) ) }.
% 0.94/1.58 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( X, Y ) ), ! Y =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.58 { ! class_RealVector_Oreal__normed__vector( X ), Y =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless(
% 0.94/1.58 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( X, Y ) ) }.
% 0.94/1.58 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( X, Y ), c_Groups_Ozero__class_Ozero(
% 0.94/1.58 tc_RealDef_Oreal ) ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.58 { ! class_RealVector_Oreal__normed__vector( X ), ! Y =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless__eq(
% 0.94/1.58 tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( X, Y ),
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.94/1.58 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.94/1.58 class_RealVector_Oreal__normed__field( X ),
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.94/1.58 , Y ) ) = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.94/1.58 ( X, Y ) ) }.
% 0.94/1.58 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.94/1.58 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ), Y ) }.
% 0.94/1.58 { c_RealVector_Onorm__class_Onorm( tc_RealDef_Oreal, X ) =
% 0.94/1.58 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) }.
% 0.94/1.58 { ! class_RealVector_Oreal__normed__field( X ),
% 0.94/1.58 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.94/1.58 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.58 { ! class_RealVector_Oreal__normed__field( X ),
% 0.94/1.58 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X, T,
% 0.94/1.58 Z ), Y ) = c_Groups_Ominus__class_Ominus( X,
% 0.94/1.58 c_Rings_Oinverse__class_Odivide( X, T, Y ),
% 0.94/1.58 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.94/1.58 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X, Z,
% 0.94/1.58 Y ) ) = c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus
% 0.94/1.58 ( X, Y, Z ) ) }.
% 0.94/1.58 { ! class_RealVector_Oreal__normed__vector( X ), c_Groups_Oabs__class_Oabs
% 0.94/1.58 ( tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( X, Y ) ) =
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( X, Y ) }.
% 0.94/1.58 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( X, Y ) = c_Groups_Ozero__class_Ozero(
% 0.94/1.58 tc_RealDef_Oreal ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.58 { ! class_RealVector_Oreal__normed__vector( X ), ! Y =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), c_RealVector_Onorm__class_Onorm( X, Y )
% 0.94/1.58 = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.94/1.58 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.94/1.58 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( X, Y ) ) }.
% 0.94/1.58 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( X, Y ), c_Groups_Ozero__class_Ozero(
% 0.94/1.58 tc_RealDef_Oreal ) ) }.
% 0.94/1.58 { ! c_SEQ_Osubseq( X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.94/1.58 hAPP( X, Y ) ) }.
% 0.94/1.58 { ! c_SEQ_Osubseq( X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z
% 0.94/1.58 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X, Y ), hAPP( X, Z
% 0.94/1.58 ) ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, skol7( X ), skol16( X ) ),
% 0.94/1.58 c_SEQ_Osubseq( X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X, skol7( X ) ), hAPP
% 0.94/1.58 ( X, skol16( X ) ) ), c_SEQ_Osubseq( X ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, Y, X ) ),
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs
% 0.94/1.58 ( tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.94/1.58 c_Complex_ORe( Y ), c_Complex_ORe( X ) ) ), c_Groups_Oabs__class_Oabs(
% 0.94/1.58 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.94/1.58 c_Complex_OIm( Y ), c_Complex_OIm( X ) ) ) ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.94/1.58 c_Nat__Transfer_Otsub( X, Y ) = c_Groups_Ominus__class_Ominus(
% 0.94/1.58 tc_Int_Oint, X, Y ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.94/1.58 c_Nat__Transfer_Otsub( X, Y ) = c_Groups_Ozero__class_Ozero( tc_Int_Oint
% 0.94/1.58 ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.58 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.94/1.58 c_Groups_Ominus__class_Ominus( X, T, Z ), Y ) =
% 0.94/1.58 c_Groups_Ominus__class_Ominus( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.94/1.58 Y ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.94/1.58 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.94/1.58 ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ),
% 0.94/1.58 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.94/1.58 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.94/1.58 c_Groups_Oplus__class_Oplus( X, Z, T ) = c_Groups_Oplus__class_Oplus( X,
% 0.94/1.58 Y, T ), Z = Y }.
% 0.94/1.58 { ! class_Groups_Ocancel__ab__semigroup__add( X ), !
% 0.94/1.58 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.94/1.58 T, Y ), Z = Y }.
% 0.94/1.58 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.94/1.58 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.94/1.58 T, Y ), Z = Y }.
% 0.94/1.58 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.94/1.58 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.94/1.58 Y, Z ), T = Y }.
% 0.94/1.58 { ! class_Groups_Ocancel__semigroup__add( X ), ! T = Y,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.94/1.58 Y, Z ) }.
% 0.94/1.58 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.94/1.58 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.94/1.58 T, Y ), Z = Y }.
% 0.94/1.58 { ! class_Groups_Ocancel__semigroup__add( X ), ! Z = Y,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.94/1.58 T, Y ) }.
% 0.94/1.58 { ! class_Groups_Oab__semigroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.94/1.58 ( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y ) ) }.
% 0.94/1.58 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, Y ) ) =
% 0.94/1.58 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X, Z )
% 0.94/1.58 , c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.94/1.58 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( X, Z ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.94/1.58 tc_Int_Oint, Z, Y ) ) }.
% 0.94/1.58 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Oplus__class_Oplus( X
% 0.94/1.58 , c_Int_Onumber__class_Onumber__of( X, Z ), Y ) ) =
% 0.94/1.58 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Int_Oint, T, Z ) ), Y ) }.
% 0.94/1.58 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Ominus__class_Ominus(
% 0.94/1.58 X, c_Int_Onumber__class_Onumber__of( X, Z ), Y ) ) =
% 0.94/1.58 c_Groups_Ominus__class_Ominus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Int_Oint, T, Z ) ), Y ) }.
% 0.94/1.58 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.94/1.58 ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.94/1.58 ( X, Y ) ) ) }.
% 0.94/1.58 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( X, Z ), Y ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( X, U ), T ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( X, c_Groups_Oplus__class_Oplus( X, Z, U
% 0.94/1.58 ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, T ) ) }.
% 0.94/1.58 { ! class_Groups_Omonoid__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.94/1.58 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.94/1.58 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ) = c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.94/1.58 , Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.58 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ozero__class_Ozero( X ) =
% 0.94/1.58 c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 0.94/1.58 { ! class_Groups_Omonoid__add( X ), c_Groups_Oplus__class_Oplus( X, Y,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.94/1.58 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.94/1.58 , c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.94/1.58 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.94/1.58 c_Groups_Oplus__class_Oplus( X, Y, Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.58 , Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.58 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.94/1.58 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.94/1.58 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.94/1.58 T ), c_Groups_Oplus__class_Oplus( X, Y, T ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.58 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.94/1.58 U ), c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.94/1.58 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.94/1.58 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.94/1.58 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.94/1.58 T ), c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.94/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.94/1.58 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.94/1.58 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.94/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.94/1.58 Z ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.94/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.94/1.58 Z ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.94/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.94/1.58 , c_Groups_Oplus__class_Oplus( X, T, Y ) ), c_Orderings_Oord__class_Oless
% 0.94/1.58 ( X, Z, Y ) }.
% 0.94/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Z, T )
% 0.94/1.58 , c_Groups_Oplus__class_Oplus( X, Y, T ) ), c_Orderings_Oord__class_Oless
% 0.94/1.58 ( X, Z, Y ) }.
% 0.94/1.58 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.58 ( X, U, T ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( X, Z, U ), c_Groups_Oplus__class_Oplus( X, Y
% 0.94/1.58 , T ) ) }.
% 0.94/1.58 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.94/1.58 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.94/1.58 , T, Y ) ) }.
% 0.94/1.58 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.94/1.58 X, c_Groups_Oplus__class_Oplus( X, Z, T ), c_Groups_Oplus__class_Oplus( X
% 0.94/1.58 , Y, T ) ) }.
% 0.94/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.94/1.58 , c_Groups_Oplus__class_Oplus( X, T, Y ) ), c_Orderings_Oord__class_Oless
% 0.94/1.58 ( X, Z, Y ) }.
% 0.94/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.94/1.58 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.94/1.58 , T, Y ) ) }.
% 0.94/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.94/1.58 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ), c_Orderings_Oord__class_Oless
% 0.94/1.58 ( X, T, Y ) }.
% 0.94/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, T, Y ), c_Orderings_Oord__class_Oless(
% 0.94/1.58 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.94/1.58 , Y, Z ) ) }.
% 0.94/1.58 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( X, Z, Y ), Y ) = Z }.
% 0.94/1.58 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.58 c_Groups_Ominus__class_Ominus( X, Z, Y ), Y ) = Z }.
% 0.94/1.58 { ! class_RealVector_Oreal__normed__field( X ),
% 0.94/1.58 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, T, Z
% 0.94/1.58 ), Y ) = c_Groups_Oplus__class_Oplus( X, c_Rings_Oinverse__class_Odivide
% 0.94/1.58 ( X, T, Y ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, Y ),
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, X ) ) }.
% 0.94/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.94/1.58 c_Groups_Oabs__class_Oabs( X, c_Groups_Oplus__class_Oplus( X,
% 0.94/1.58 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ) )
% 0.94/1.58 = c_Groups_Oplus__class_Oplus( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.94/1.58 c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.94/1.58 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, T, Z ), c_Orderings_Oord__class_Oless(
% 0.94/1.58 X, T, c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.94/1.58 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.94/1.58 , Y ) ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X, U,
% 0.94/1.58 Z ) ), c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus
% 0.94/1.58 ( X, T, Y ) ) ) ) }.
% 0.94/1.58 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.58 c_Groups_Oplus__class_Oplus( X, Y, Y ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.58 ) }.
% 0.94/1.58 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.58 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.94/1.58 ), c_Groups_Oplus__class_Oplus( X, Y, Y ) ) }.
% 0.94/1.58 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Y,
% 0.94/1.58 Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.58 ) }.
% 0.94/1.58 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.58 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X
% 0.94/1.58 , Y, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.58 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.58 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.94/1.58 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Z )
% 0.94/1.58 ) }.
% 0.94/1.58 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.58 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.94/1.58 X ), Z ), ! c_Groups_Oplus__class_Oplus( X, Y, Z ) =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.94/1.58 .
% 0.94/1.58 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.58 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.94/1.58 X ), Z ), ! c_Groups_Oplus__class_Oplus( X, Y, Z ) =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.94/1.58 .
% 0.94/1.58 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.58 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.94/1.58 X ), Z ), ! Y = c_Groups_Ozero__class_Ozero( X ), ! Z =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Z )
% 0.94/1.58 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.58 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.58 ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oplus__class_Oplus( X,
% 0.94/1.58 Y, Z ) ) }.
% 0.94/1.58 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.58 ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oplus__class_Oplus( X,
% 0.94/1.58 Z, Y ) ) }.
% 0.94/1.58 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.58 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.58 , c_Groups_Oplus__class_Oplus( X, Y, Z ), c_Groups_Ozero__class_Ozero( X
% 0.94/1.58 ) ) }.
% 0.94/1.58 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.58 c_Groups_Oplus__class_Oplus( X, Y, Y ) ), c_Orderings_Oord__class_Oless(
% 0.94/1.58 X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.94/1.58 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.58 c_Groups_Oplus__class_Oplus( X, Y, Y ) ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.94/1.58 , c_Groups_Oplus__class_Oplus( X, Y, Y ), c_Groups_Ozero__class_Ozero( X
% 0.94/1.58 ) ), c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X
% 0.94/1.58 ) ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.94/1.58 , Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.94/1.58 , c_Groups_Oplus__class_Oplus( X, Y, Y ), c_Groups_Ozero__class_Ozero( X
% 0.94/1.58 ) ) }.
% 0.94/1.58 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.94/1.58 , c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Y
% 0.94/1.58 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.58 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.94/1.58 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.58 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.58 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.94/1.58 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.58 c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.94/1.58 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.58 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.94/1.58 , c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.94/1.58 ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.58 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, U, T ), c_Orderings_Oord__class_Oless(
% 0.94/1.58 X, c_Groups_Oplus__class_Oplus( X, Z, U ), c_Groups_Oplus__class_Oplus( X
% 0.94/1.58 , Y, T ) ) }.
% 0.94/1.58 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Z, U )
% 0.94/1.58 , c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.94/1.58 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ), Y ) = Y }.
% 0.94/1.58 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X, Y,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ) ) = Y }.
% 0.94/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( X, Z, Y ) ), c_Groups_Oplus__class_Oplus( X
% 0.94/1.58 , c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) )
% 0.94/1.58 ) }.
% 0.94/1.58 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.58 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.94/1.58 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.94/1.58 , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.58 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.58 ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.94/1.58 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.94/1.58 , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.58 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.58 ), ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.94/1.58 ) ) }.
% 0.94/1.58 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.58 ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.94/1.58 ) ) }.
% 0.94/1.58 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.58 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.58 , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.58 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.94/1.58 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.58 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.58 , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.58 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.94/1.58 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.58 c_Int_OBit0( Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.94/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 0.94/1.58 c_Groups_Ominus__class_Ominus( X, c_Groups_Oplus__class_Oplus( X, U, T )
% 0.94/1.58 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) ), c_Groups_Oplus__class_Oplus
% 0.94/1.58 ( X, c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, U, Z
% 0.94/1.58 ) ), c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, T,
% 0.94/1.58 Y ) ) ) ) }.
% 0.94/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 0.94/1.58 c_Groups_Ominus__class_Ominus( X, Z, Y ) ), c_Groups_Oplus__class_Oplus(
% 0.94/1.58 X, c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) )
% 0.94/1.58 ) }.
% 0.94/1.58 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X, Z,
% 0.94/1.58 Y ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.94/1.58 ( X, Y ) ) ) }.
% 0.94/1.58 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.94/1.58 ( X, Y ) ), c_RealVector_Onorm__class_Onorm( X,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( X, Z, Y ) ) ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__idom( X ), Z = Y,
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.94/1.58 X, Y, Z ) }.
% 0.94/1.58 { ! hAPP( W, hAPP( U, T ) ) = hAPP( Z, hAPP( Y, X ) ), hAPP( c_Fun_Ocomp(
% 0.94/1.58 V4, V3, V2, W, U ), T ) = hAPP( c_Fun_Ocomp( V1, V3, V0, Z, Y ), X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Nat__Transfer_Otsub( X, Y )
% 0.94/1.58 ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.94/1.58 c_Nat__Transfer_Otsub( X, Y ) = c_Groups_Ominus__class_Ominus(
% 0.94/1.58 tc_Int_Oint, X, Y ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.58 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.94/1.58 c_Int_OBit1( c_Int_OPls ) ) ) ), X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y,
% 0.94/1.58 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.94/1.58 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.94/1.58 { ! class_Rings_Odivision__ring__inverse__zero( X ),
% 0.94/1.58 c_Rings_Oinverse__class_Odivide( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.94/1.58 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.58 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.58 }.
% 0.94/1.58 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.94/1.58 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.94/1.58 c_Int_OBit1( c_Int_OPls ) ) ) ), X ) = c_Rings_Oinverse__class_Odivide(
% 0.94/1.58 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X )
% 0.94/1.58 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.94/1.58 c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.94/1.58 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.94/1.58 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.94/1.58 c_Int_OBit1( c_Int_OPls ) ) ) ), Y ) = c_Rings_Oinverse__class_Odivide(
% 0.94/1.58 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y )
% 0.94/1.58 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.94/1.58 c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, c_Complex_OIm( v_s( X ) ) )
% 0.94/1.58 , c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, v_r,
% 0.94/1.58 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) ) }.
% 0.94/1.58 { c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.58 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.94/1.58 c_Int_OBit1( c_Int_OPls ) ) ) ), c_Rings_Oinverse__class_Odivide(
% 0.94/1.58 tc_RealDef_Oreal, X, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 0.94/1.58 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) = X }.
% 0.94/1.58 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.94/1.58 , c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, T, Z )
% 0.94/1.58 ), Y ), c_Orderings_Oord__class_Oless( X, c_Groups_Ominus__class_Ominus
% 0.94/1.58 ( X, Z, Y ), T ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.94/1.58 , c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, T, Z )
% 0.94/1.58 ), Y ), c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus
% 0.94/1.58 ( X, Z, Y ) ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.94/1.58 , c_Groups_Ominus__class_Ominus( X, Z, Y ), T ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.94/1.58 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oabs__class_Oabs( X,
% 0.94/1.58 c_Groups_Ominus__class_Ominus( X, T, Z ) ), Y ) }.
% 0.94/1.58 { ! class_Orderings_Oorder( X ), ! c_SEQ_Odecseq( X, Y ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, T ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, hAPP( Y, T ), hAPP( Y, Z ) ) }.
% 0.94/1.58 { ! class_Orderings_Oorder( X ), c_Orderings_Oord__class_Oless__eq(
% 0.94/1.58 tc_Nat_Onat, skol8( X, Y ), skol17( X, Y ) ), c_SEQ_Odecseq( X, Y ) }.
% 0.94/1.58 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.58 hAPP( Y, skol17( X, Y ) ), hAPP( Y, skol8( X, Y ) ) ), c_SEQ_Odecseq( X,
% 0.94/1.58 Y ) }.
% 0.94/1.58 { ! class_RealVector_Oreal__normed__algebra__1( X ),
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( X, c_Groups_Oone__class_Oone( X ) ) =
% 0.94/1.58 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.94/1.58 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.94/1.58 tc_Int_Oint, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 0.94/1.58 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, c_Groups_Oplus__class_Oplus
% 0.94/1.58 ( tc_Int_Oint, Y, X ) ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, X ) ) }.
% 0.94/1.58 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) =
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Y ) }.
% 0.94/1.58 { ! class_Groups_Oone( X ), ! c_Groups_Oone__class_Oone( X ) = Y, Y =
% 0.94/1.58 c_Groups_Oone__class_Oone( X ) }.
% 0.94/1.58 { ! class_Groups_Oone( X ), ! Y = c_Groups_Oone__class_Oone( X ),
% 0.94/1.58 c_Groups_Oone__class_Oone( X ) = Y }.
% 0.94/1.58 { ! class_Rings_Ozero__neq__one( X ), ! c_Groups_Ozero__class_Ozero( X ) =
% 0.94/1.58 c_Groups_Oone__class_Oone( X ) }.
% 0.94/1.58 { ! class_Rings_Ozero__neq__one( X ), ! c_Groups_Oone__class_Oone( X ) =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.58 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = Y, X =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.58 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.58 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.58 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), ! X =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.94/1.58 tc_Nat_Onat, Y, X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.58 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, c_Groups_Ozero__class_Ozero
% 0.94/1.58 ( tc_Nat_Onat ) ) = X }.
% 0.94/1.58 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.58 tc_Nat_Onat ), X ) = X }.
% 0.94/1.58 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Ozero__class_Ozero
% 0.94/1.58 ( tc_Int_Oint ) ) = X }.
% 0.94/1.58 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.94/1.58 tc_Int_Oint ), X ) = X }.
% 0.94/1.58 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OPls, X ) = X }.
% 0.94/1.58 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Int_OPls ) = X }.
% 0.94/1.58 { c_Int_OBit0( X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, X ) }.
% 0.94/1.58 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0(
% 0.94/1.58 X ) ) = c_Int_OBit0( c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }
% 0.94/1.58 .
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.94/1.58 ( tc_Nat_Onat, Y, Z ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y
% 0.94/1.58 , X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, T, X ) =
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.58 tc_Nat_Onat, Y, T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }
% 0.94/1.58 .
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.58 tc_Nat_Onat, Y, Z ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }
% 0.94/1.58 .
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.94/1.58 ( tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) )
% 0.94/1.58 , c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.58 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }
% 0.94/1.58 .
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.94/1.58 ( tc_Nat_Onat, Y, X ), X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.94/1.58 ( tc_Nat_Onat, Y, X ), Y ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, Y ),
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, X ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.94/1.58 tc_Int_Oint, Y, Z ), c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Z ) ) }
% 0.94/1.58 .
% 0.94/1.58 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X, Y
% 0.94/1.58 , c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ), X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, T ),
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), X =
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol9( X, Y ) ) }.
% 0.94/1.58 { ! X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.94/1.58 { c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) =
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__idom( X ), c_Groups_Oabs__class_Oabs( X,
% 0.94/1.58 c_Groups_Oone__class_Oone( X ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.94/1.58 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.58 tc_Nat_Onat, Y, X ), X ) = Y }.
% 0.94/1.58 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.58 tc_Nat_Onat, Y, X ), Y ) = X }.
% 0.94/1.58 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.94/1.58 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.94/1.58 Z, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.58 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.58 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) =
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) }.
% 0.94/1.58 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.58 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) =
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ) }.
% 0.94/1.58 { ! c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) =
% 0.94/1.58 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__semidom( X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.58 c_Groups_Oone__class_Oone( X ) ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__semidom( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.94/1.58 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.94/1.58 ( X, c_Groups_Oone__class_Oone( X ), c_Groups_Ozero__class_Ozero( X ) ) }
% 0.94/1.58 .
% 0.94/1.58 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.94/1.58 , Y, c_Groups_Oplus__class_Oplus( X, Y, c_Groups_Oone__class_Oone( X ) )
% 0.94/1.58 ) }.
% 0.94/1.58 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.58 , ! c_Rings_Oinverse__class_Odivide( X, Z, Y ) =
% 0.94/1.58 c_Groups_Oone__class_Oone( X ), Z = Y }.
% 0.94/1.58 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.58 , ! Z = Y, c_Rings_Oinverse__class_Odivide( X, Z, Y ) =
% 0.94/1.58 c_Groups_Oone__class_Oone( X ) }.
% 0.94/1.58 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.58 , c_Rings_Oinverse__class_Odivide( X, Y, Y ) = c_Groups_Oone__class_Oone
% 0.94/1.58 ( X ) }.
% 0.94/1.58 { ! class_Rings_Odivision__ring__inverse__zero( X ), ! Y =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.94/1.58 Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.58 { ! class_Rings_Odivision__ring__inverse__zero( X ), Y =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.94/1.58 Y ) = c_Groups_Oone__class_Oone( X ) }.
% 0.94/1.58 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1(
% 0.94/1.58 X ) ) = c_Int_OBit1( c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }
% 0.94/1.58 .
% 0.94/1.58 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0(
% 0.94/1.58 X ) ) = c_Int_OBit1( c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }
% 0.94/1.58 .
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.58 ( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.58 tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.58 ( tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.94/1.58 tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.58 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.94/1.58 tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oplus__class_Oplus(
% 0.94/1.58 tc_Int_Oint, X, Y ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, T, Z ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.94/1.58 tc_Int_Oint, Y, T ), c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Z ) ) }
% 0.94/1.58 .
% 0.94/1.58 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) = Y }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z,
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.58 tc_Nat_Onat, Z, X ), Y ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.94/1.58 ( tc_Nat_Onat, Z, X ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z
% 0.94/1.58 , c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z,
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.58 tc_Nat_Onat, Z, Y ), X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.58 tc_Nat_Onat, X, Z ), Y ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) = X }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.58 tc_Nat_Onat, Z, X ), Y ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.94/1.58 tc_Nat_Onat, X, Y ), Y ) = X }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) = Z, X =
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), ! X =
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) = Z }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.58 tc_Nat_Onat, Z, X ), Y ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.94/1.58 tc_Nat_Onat, X, Y ), Z ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ), Y ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.58 tc_Nat_Onat, X, Z ), Y ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), Z ) }.
% 0.94/1.58 { c_Complex_ORe( c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, Y, X ) )
% 0.94/1.58 = c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Complex_ORe( Y ),
% 0.94/1.58 c_Complex_ORe( X ) ) }.
% 0.94/1.58 { c_Complex_OIm( c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, Y, X ) )
% 0.94/1.58 = c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Complex_OIm( Y ),
% 0.94/1.58 c_Complex_OIm( X ) ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.94/1.58 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.58 c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ) ) }.
% 0.94/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.58 X, Z, Y ), c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.58 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.94/1.58 ), c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.94/1.58 c_Groups_Oone__class_Oone( X ) ) ) ) }.
% 0.94/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.58 X, Z, Y ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.58 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.94/1.58 ), c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.94/1.58 c_Groups_Oone__class_Oone( X ) ) ), Y ) }.
% 0.94/1.58 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.58 c_Int_OBit1( Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.94/1.58 { ! class_Int_Onumber__ring( X ), c_Groups_Oone__class_Oone( X ) =
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ) }.
% 0.94/1.58 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.58 c_Int_OBit1( c_Int_OPls ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.94/1.58 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.94/1.58 , alpha7( X, Y, Z ) }.
% 0.94/1.58 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.94/1.58 , alpha36( X, Y, Z ) }.
% 0.94/1.58 { ! alpha7( X, Y, Z ), ! alpha36( X, Y, Z ), hBOOL( hAPP( Z,
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) ) }.
% 0.94/1.58 { ! alpha36( X, Y, Z ), ! Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.94/1.58 T ), hBOOL( hAPP( Z, T ) ) }.
% 0.94/1.58 { ! hBOOL( hAPP( Z, skol10( T, U, Z ) ) ), alpha36( X, Y, Z ) }.
% 0.94/1.58 { Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, skol10( X, Y, Z ) ),
% 0.94/1.58 alpha36( X, Y, Z ) }.
% 0.94/1.58 { ! alpha7( X, Y, Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X )
% 0.94/1.58 , hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), alpha7( X, Y, Z ) }.
% 0.94/1.58 { ! hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), alpha7
% 0.94/1.58 ( X, Y, Z ) }.
% 0.94/1.58 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.94/1.58 , ! alpha8( X, Y, Z ) }.
% 0.94/1.58 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.94/1.58 , ! alpha37( X, Y, Z ) }.
% 0.94/1.58 { alpha8( X, Y, Z ), alpha37( X, Y, Z ), hBOOL( hAPP( Z,
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) ) }.
% 0.94/1.58 { ! alpha37( X, Y, Z ), ! hBOOL( hAPP( Z, skol11( T, U, Z ) ) ) }.
% 0.94/1.58 { ! alpha37( X, Y, Z ), Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.94/1.58 skol11( X, Y, Z ) ) }.
% 0.94/1.58 { ! Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, T ), hBOOL( hAPP( Z, T
% 0.94/1.58 ) ), alpha37( X, Y, Z ) }.
% 0.94/1.58 { ! alpha8( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }
% 0.94/1.58 .
% 0.94/1.58 { ! alpha8( X, Y, Z ), ! hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero(
% 0.94/1.58 tc_Nat_Onat ) ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), hBOOL( hAPP( Z,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), alpha8( X, Y, Z ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ),
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, Y, X ) ),
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ) ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, Y, X ) ),
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ) ),
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs
% 0.94/1.58 ( tc_RealDef_Oreal, X ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) )
% 0.94/1.58 , X ) }.
% 0.94/1.58 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.58 c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X, Y )
% 0.94/1.58 ) = c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.94/1.58 tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y ) ) }.
% 0.94/1.58 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Oone__class_Oone( X )
% 0.94/1.58 ) = c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.94/1.58 tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls ) ) ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oone__class_Oone
% 0.94/1.58 ( tc_RealDef_Oreal ), c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) )
% 0.94/1.58 ) }.
% 0.94/1.58 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 0.94/1.58 , Y ) }.
% 0.94/1.58 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 0.94/1.58 , Y ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X
% 0.94/1.58 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.94/1.58 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.94/1.58 , Y ), c_Groups_Oone__class_Oone( X ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) }.
% 0.94/1.58 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Oone__class_Oone( X )
% 0.94/1.58 ) }.
% 0.94/1.58 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.58 c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ) =
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.94/1.58 ) ) ) }.
% 0.94/1.58 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.94/1.58 ( tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y ) }.
% 0.94/1.58 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y
% 0.94/1.58 ), c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.94/1.58 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.94/1.58 ), c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless(
% 0.94/1.58 tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls ) ) }.
% 0.94/1.58 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls )
% 0.94/1.58 ), c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X
% 0.94/1.58 , Y ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.94/1.58 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.94/1.58 , Y ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Ominus__class_Ominus(
% 0.94/1.58 X, U, Z ), c_Groups_Ominus__class_Ominus( X, T, Y ) ) }.
% 0.94/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.58 class_Int_Onumber__ring( X ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.94/1.58 c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.58 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.94/1.58 { ! class_RealVector_Oreal__normed__vector( Y ), ! class_Orderings_Oord( X
% 0.94/1.58 ), c_Orderings_Oord__class_Oless__eq( X, T, skol12( X, U, W, T ) ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, T, V0 ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( Y, hAPP( Z, V0 ) ),
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oone__class_Oone
% 0.94/1.58 ( tc_RealDef_Oreal ), c_RealVector_Onorm__class_Onorm( Y, hAPP( Z, T ) )
% 0.94/1.58 ) ) }.
% 0.94/1.58 { ! class_RealVector_Oreal__normed__vector( Y ), ! class_Orderings_Oord( X
% 0.94/1.58 ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( Y, c_Groups_Ominus__class_Ominus( Y,
% 0.94/1.58 hAPP( Z, T ), hAPP( Z, skol12( X, Y, Z, T ) ) ) ),
% 0.94/1.58 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, T, U ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( Y, hAPP( Z, U ) ),
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oone__class_Oone
% 0.94/1.58 ( tc_RealDef_Oreal ), c_RealVector_Onorm__class_Onorm( Y, hAPP( Z, T ) )
% 0.94/1.58 ) ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.94/1.58 , c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ) ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.94/1.58 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.58 c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.94/1.58 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.94/1.58 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.94/1.58 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ), ! Z =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.58 }.
% 0.94/1.58 { ! class_Rings_Olinordered__idom( X ), Z = c_Groups_Ozero__class_Ozero( X
% 0.94/1.58 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.58 c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ) ) ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__idom( X ), Y = c_Groups_Ozero__class_Ozero( X
% 0.94/1.58 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.58 c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ) ) ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__idom( X ), c_Orderings_Oord__class_Oless__eq(
% 0.94/1.58 X, c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.58 c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.94/1.58 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.94/1.58 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.94/1.58 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ) }.
% 0.94/1.58 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ), Z = X }.
% 0.94/1.58 { ! Z = X, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) }.
% 0.94/1.58 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ), Y = X }.
% 0.94/1.58 { ! Y = X, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) }.
% 0.94/1.58 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.58 tc_Nat_Onat, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.58 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, c_Groups_Oplus__class_Oplus
% 0.94/1.58 ( tc_Nat_Onat, Y, X ) ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.94/1.58 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) }.
% 0.94/1.58 { ! class_RealVector_Oreal__normed__algebra__1( X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( X, c_Power_Opower__class_Opower( X, Z, Y
% 0.94/1.58 ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( X, Z ), Y ) ) }.
% 0.94/1.58 { ! class_RealVector_Oreal__normed__div__algebra( X ),
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( X, c_Power_Opower__class_Opower( X, Z, Y
% 0.94/1.58 ) ) = c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( X, Z ), Y ) }.
% 0.94/1.58 { ! c_Groups_Ozero__class_Ozero( tc_Int_Oint ) = c_Groups_Oone__class_Oone
% 0.94/1.58 ( tc_Int_Oint ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Power_Opower__class_Opower
% 0.94/1.58 ( tc_Int_Oint, X, Y ) ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Power_Opower__class_Opower
% 0.94/1.58 ( tc_Int_Oint, c_Groups_Oabs__class_Oabs( tc_Int_Oint, Y ), X ) ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oone__class_Oone(
% 0.94/1.58 tc_Int_Oint ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oabs__class_Oabs(
% 0.94/1.58 tc_Int_Oint, X ), c_Groups_Oone__class_Oone( tc_Int_Oint ) ), X =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.94/1.58 { ! X = c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oabs__class_Oabs(
% 0.94/1.58 tc_Int_Oint, X ), c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.94/1.58 tc_Int_Oint ), c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 0.94/1.58 { c_Complex_OIm( c_Groups_Oone__class_Oone( tc_Complex_Ocomplex ) ) =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.94/1.58 { c_Int_OBit1( X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oone__class_Oone(
% 0.94/1.58 tc_Int_Oint ), X ), X ) }.
% 0.94/1.58 { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.94/1.58 tc_Int_Oint, c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ) =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.94/1.58 tc_Int_Oint ) ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), Y
% 0.94/1.58 = X }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.94/1.58 tc_Int_Oint ) ) ) }.
% 0.94/1.58 { ! Y = X, c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.94/1.58 tc_Int_Oint ) ) ) }.
% 0.94/1.58 { c_Complex_ORe( c_Groups_Oone__class_Oone( tc_Complex_Ocomplex ) ) =
% 0.94/1.58 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.94/1.58 ( tc_Int_Oint ), c_Power_Opower__class_Opower( tc_Int_Oint,
% 0.94/1.58 c_Groups_Oabs__class_Oabs( tc_Int_Oint, Y ), X ) ), ! Y =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.58 { Y = c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.94/1.58 tc_Int_Oint ), c_Power_Opower__class_Opower( tc_Int_Oint,
% 0.94/1.58 c_Groups_Oabs__class_Oabs( tc_Int_Oint, Y ), X ) ) }.
% 0.94/1.58 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.94/1.58 tc_Int_Oint ), c_Power_Opower__class_Opower( tc_Int_Oint,
% 0.94/1.58 c_Groups_Oabs__class_Oabs( tc_Int_Oint, Y ), X ) ) }.
% 0.94/1.58 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 0.94/1.58 ) = c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.94/1.58 { c_Groups_Oone__class_Oone( tc_Nat_Onat ) =
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 0.94/1.58 ) }.
% 0.94/1.58 { c_Groups_Oone__class_Oone( tc_Int_Oint ) =
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 0.94/1.58 ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.58 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.94/1.58 tc_Int_Oint ), X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.94/1.58 ( tc_Int_Oint ), X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.58 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus
% 0.94/1.58 ( tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.94/1.58 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ),
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.94/1.58 tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.94/1.58 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ),
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.94/1.58 tc_Int_Oint ) ), X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.94/1.58 tc_Int_Oint ) ), X ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X )
% 0.94/1.58 }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.94/1.58 tc_Int_Oint ) ), X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.94/1.58 tc_Int_Oint ) ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X )
% 0.94/1.58 }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.94/1.58 tc_Int_Oint ) ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Int_Oint, X, c_Groups_Oone__class_Oone
% 0.94/1.58 ( tc_Int_Oint ) ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.94/1.58 .
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Int_Oint, X, c_Groups_Oone__class_Oone
% 0.94/1.58 ( tc_Int_Oint ) ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), X =
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol13( X, Y ) ) }.
% 0.94/1.58 { ! X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.58 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Oone__class_Oone(
% 0.94/1.58 tc_Nat_Onat ), c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) =
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.94/1.58 tc_Int_Oint ), c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.94/1.58 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ) ) }.
% 0.94/1.58 { ! class_Rings_Oring__1__no__zero__divisors( X ), !
% 0.94/1.58 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.94/1.58 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.94/1.58 .
% 0.94/1.58 { ! class_Rings_Oring__1__no__zero__divisors( X ), ! Y =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), c_Power_Opower__class_Opower( X, Y,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.58 { ! class_Rings_Osemiring__1( X ), c_Power_Opower__class_Opower( X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of(
% 0.94/1.58 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.58 { ! class_Rings_Osemiring__1( X ), c_Power_Opower__class_Opower( X,
% 0.94/1.58 c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of(
% 0.94/1.58 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) =
% 0.94/1.58 c_Groups_Oone__class_Oone( X ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__idom( X ), c_Power_Opower__class_Opower( X,
% 0.94/1.58 c_Groups_Oabs__class_Oabs( X, Y ), c_Int_Onumber__class_Onumber__of(
% 0.94/1.58 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) =
% 0.94/1.58 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.94/1.58 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__idom( X ), c_Groups_Oabs__class_Oabs( X,
% 0.94/1.58 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.94/1.58 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) =
% 0.94/1.58 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.94/1.58 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__semidom( X ), ! c_Power_Opower__class_Opower(
% 0.94/1.58 X, Z, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0(
% 0.94/1.58 c_Int_OBit1( c_Int_OPls ) ) ) ) = c_Power_Opower__class_Opower( X, Y,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.58 ), Z = Y }.
% 0.94/1.58 { ! class_Rings_Olinordered__semidom( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X, Z
% 0.94/1.58 , c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1
% 0.94/1.58 ( c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ) ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless__eq
% 0.94/1.58 ( X, Z, Y ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__idom( X ), c_Orderings_Oord__class_Oless__eq(
% 0.94/1.58 X, c_Groups_Ozero__class_Ozero( X ), c_Power_Opower__class_Opower( X, Y,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ) ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.94/1.58 , c_Groups_Ozero__class_Ozero( X ), c_Power_Opower__class_Opower( X, Y,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ) ), ! Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__idom( X ), Y = c_Groups_Ozero__class_Ozero( X
% 0.94/1.58 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.58 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.94/1.58 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.94/1.58 , c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.94/1.58 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__idom( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.94/1.58 c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.94/1.58 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.94/1.58 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.94/1.58 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.94/1.58 .
% 0.94/1.58 { ! class_Rings_Olinordered__idom( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.94/1.58 c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.94/1.58 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.94/1.58 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.94/1.58 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.94/1.58 .
% 0.94/1.58 { ! class_Rings_Olinordered__idom( X ), ! Z = c_Groups_Ozero__class_Ozero(
% 0.94/1.58 X ), ! Y = c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus
% 0.94/1.58 ( X, c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of
% 0.94/1.58 ( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.94/1.58 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.94/1.58 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.58 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.58 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ) ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y
% 0.94/1.58 = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.94/1.58 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.58 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ) ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X
% 0.94/1.58 = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.94/1.58 { ! Y = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! X =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.58 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ) ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }
% 0.94/1.58 .
% 0.94/1.58 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ),
% 0.94/1.58 c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.94/1.58 c_Int_OBit1( c_Int_OPls ) ) ), X ) ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.94/1.58 ( X, c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of
% 0.94/1.58 ( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.94/1.58 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.94/1.58 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.58 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.94/1.58 ( X, c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ) ), c_Groups_Ozero__class_Ozero( X ) ), Z =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.94/1.58 ( X, c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ) ), c_Groups_Ozero__class_Ozero( X ) ), Y =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__idom( X ), ! Z = c_Groups_Ozero__class_Ozero(
% 0.94/1.58 X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.94/1.58 c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.94/1.58 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.94/1.58 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.94/1.58 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ),
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ),
% 0.94/1.58 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.58 c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ), X = c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X =
% 0.94/1.58 c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.94/1.58 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), Z ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.58 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), T ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, c_Power_Opower__class_Opower( X, Z, T )
% 0.94/1.58 , c_Power_Opower__class_Opower( X, Y, T ) ) }.
% 0.94/1.58 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ),
% 0.94/1.58 c_Power_Opower__class_Opower( X, Y, c_Groups_Ominus__class_Ominus(
% 0.94/1.58 tc_Nat_Onat, Z, T ) ) = c_Rings_Oinverse__class_Odivide( X,
% 0.94/1.58 c_Power_Opower__class_Opower( X, Y, Z ), c_Power_Opower__class_Opower( X
% 0.94/1.58 , Y, T ) ) }.
% 0.94/1.58 { ! class_Groups_Omonoid__mult( X ), c_Power_Opower__class_Opower( X, Y,
% 0.94/1.58 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) = Y }.
% 0.94/1.58 { ! class_Rings_Oring__1__no__zero__divisors( X ), Y =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), ! c_Power_Opower__class_Opower( X, Y, Z
% 0.94/1.58 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.58 { ! class_Groups_Omonoid__mult( X ), c_Power_Opower__class_Opower( X,
% 0.94/1.58 c_Groups_Oone__class_Oone( X ), Y ) = c_Groups_Oone__class_Oone( X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.58 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.58 c_Power_Opower__class_Opower( tc_Nat_Onat, X, Z ),
% 0.94/1.58 c_Power_Opower__class_Opower( tc_Nat_Onat, X, Y ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.58 ( tc_Nat_Onat ), c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) ), X =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.58 tc_Nat_Onat ), Y ) }.
% 0.94/1.58 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.58 tc_Nat_Onat ), c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.58 ( tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.94/1.58 ( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.58 ( tc_Nat_Onat ), c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.58 tc_Nat_Onat ), Y ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.58 ( tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.94/1.58 ( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.58 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.58 tc_Nat_Onat ), c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.58 { ! class_Fields_Ofield__inverse__zero( X ), c_Power_Opower__class_Opower(
% 0.94/1.58 X, c_Rings_Oinverse__class_Odivide( X, T, Z ), Y ) =
% 0.94/1.58 c_Rings_Oinverse__class_Odivide( X, c_Power_Opower__class_Opower( X, T, Y
% 0.94/1.58 ), c_Power_Opower__class_Opower( X, Z, Y ) ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__idom( X ), c_Groups_Oabs__class_Oabs( X,
% 0.94/1.58 c_Power_Opower__class_Opower( X, Z, Y ) ) = c_Power_Opower__class_Opower
% 0.94/1.58 ( X, c_Groups_Oabs__class_Oabs( X, Z ), Y ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__semidom( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.94/1.58 ), c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X
% 0.94/1.58 , Z, T ), c_Power_Opower__class_Opower( X, Y, T ) ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__semidom( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.58 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.94/1.58 ), c_Power_Opower__class_Opower( X, Y, Z ) ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.94/1.58 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless
% 0.94/1.58 ( X, c_Groups_Ozero__class_Ozero( X ), c_Power_Opower__class_Opower( X, Y
% 0.94/1.58 , Z ) ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__semidom( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ), Y )
% 0.94/1.58 , c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.94/1.58 c_Power_Opower__class_Opower( X, Y, Z ) ) }.
% 0.94/1.58 { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), !
% 0.94/1.58 class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.94/1.58 , ! c_Power_Opower__class_Opower( X, Z, Y ) = c_Groups_Ozero__class_Ozero
% 0.94/1.58 ( X ), Z = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.58 { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), !
% 0.94/1.58 class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.94/1.58 , ! c_Power_Opower__class_Opower( X, Z, Y ) = c_Groups_Ozero__class_Ozero
% 0.94/1.58 ( X ), ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.58 { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), !
% 0.94/1.58 class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.94/1.58 , ! Z = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero
% 0.94/1.58 ( tc_Nat_Onat ), c_Power_Opower__class_Opower( X, Z, Y ) =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.94/1.58 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Power_Opower__class_Opower
% 0.94/1.58 ( X, Y, T ) = c_Power_Opower__class_Opower( X, Y, Z ), T = Z }.
% 0.94/1.58 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.94/1.58 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! T = Z,
% 0.94/1.58 c_Power_Opower__class_Opower( X, Y, T ) = c_Power_Opower__class_Opower( X
% 0.94/1.58 , Y, Z ) }.
% 0.94/1.58 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.58 c_Power_Opower__class_Opower( X, c_Rings_Oinverse__class_Odivide( X, T, Y
% 0.94/1.58 ), Z ) = c_Rings_Oinverse__class_Odivide( X,
% 0.94/1.58 c_Power_Opower__class_Opower( X, T, Z ), c_Power_Opower__class_Opower( X
% 0.94/1.58 , Y, Z ) ) }.
% 0.94/1.58 { ! class_Power_Opower( X ), c_Power_Opower__class_Opower( X, Y,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) = c_Groups_Oone__class_Oone
% 0.94/1.58 ( X ) }.
% 0.94/1.58 { ! class_Fields_Ofield__inverse__zero( X ),
% 0.94/1.58 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X ),
% 0.94/1.58 c_Power_Opower__class_Opower( X, Z, Y ) ) = c_Power_Opower__class_Opower
% 0.94/1.58 ( X, c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X ),
% 0.94/1.58 Z ), Y ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.58 ( tc_Nat_Onat ), c_Power_Opower__class_Opower( tc_Nat_Onat, Y,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Orderings_Oord__class_Oless
% 0.94/1.58 ( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ) }.
% 0.94/1.58 { ! c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Orderings_Oord__class_Oless
% 0.94/1.58 ( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.58 c_Power_Opower__class_Opower( tc_Nat_Onat, Y,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.58 ( tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.94/1.58 ( tc_Nat_Onat, Y, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) )
% 0.94/1.58 }.
% 0.94/1.58 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.94/1.58 ( X, c_Power_Opower__class_Opower( X, Z, T ),
% 0.94/1.58 c_Power_Opower__class_Opower( X, Y, T ) ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.58 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.94/1.58 { ! class_Power_Opower( X ), ! class_Rings_Osemiring__0( X ), ! Y =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.94/1.58 ( X, c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Oone__class_Oone( X
% 0.94/1.58 ) }.
% 0.94/1.58 { ! class_Power_Opower( X ), ! class_Rings_Osemiring__0( X ), Y =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.94/1.58 ( X, c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero
% 0.94/1.58 ( X ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__idom( X ), c_Orderings_Oord__class_Oless__eq(
% 0.94/1.58 X, c_Groups_Ozero__class_Ozero( X ), c_Power_Opower__class_Opower( X,
% 0.94/1.58 c_Groups_Oabs__class_Oabs( X, Z ), Y ) ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.94/1.58 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.58 ( X, c_Power_Opower__class_Opower( X, Y, T ),
% 0.94/1.58 c_Power_Opower__class_Opower( X, Y, Z ) ), c_Orderings_Oord__class_Oless
% 0.94/1.58 ( tc_Nat_Onat, T, Z ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.94/1.58 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.58 ( tc_Nat_Onat, T, Z ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.58 c_Power_Opower__class_Opower( X, Y, T ), c_Power_Opower__class_Opower( X
% 0.94/1.58 , Y, Z ) ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.94/1.58 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.58 ( X, c_Power_Opower__class_Opower( X, Y, T ),
% 0.94/1.58 c_Power_Opower__class_Opower( X, Y, Z ) ), c_Orderings_Oord__class_Oless
% 0.94/1.58 ( tc_Nat_Onat, T, Z ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.94/1.58 ( tc_Nat_Onat, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.58 c_Groups_Oone__class_Oone( X ), T ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.58 c_Power_Opower__class_Opower( X, T, Z ), c_Power_Opower__class_Opower( X
% 0.94/1.58 , T, Y ) ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__semidom( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ), T )
% 0.94/1.58 , c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X,
% 0.94/1.58 T, Z ), c_Power_Opower__class_Opower( X, T, Y ) ) }.
% 0.94/1.58 { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), !
% 0.94/1.58 class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.94/1.58 , ! c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of
% 0.94/1.58 ( tc_Nat_Onat, Y ) ) = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.58 { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), !
% 0.94/1.58 class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.94/1.58 , ! c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of
% 0.94/1.58 ( tc_Nat_Onat, Y ) ) = c_Groups_Ozero__class_Ozero( X ), !
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.58 { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), !
% 0.94/1.58 class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.94/1.58 , ! Z = c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.94/1.58 ( X, Z, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) ) =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.94/1.58 ( tc_Nat_Onat, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), T ), ! c_Orderings_Oord__class_Oless( X
% 0.94/1.58 , T, c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.58 c_Power_Opower__class_Opower( X, T, Y ), c_Power_Opower__class_Opower( X
% 0.94/1.58 , T, Z ) ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__semidom( X ), ! c_Power_Opower__class_Opower(
% 0.94/1.58 X, T, Z ) = c_Power_Opower__class_Opower( X, Y, Z ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.94/1.58 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.94/1.58 X ), Y ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Z ), T = Y }.
% 0.94/1.58 { ! class_Rings_Olinordered__semidom( X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.94/1.58 ), ! c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oone__class_Oone
% 0.94/1.58 ( X ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.58 c_Power_Opower__class_Opower( X, T, Y ), c_Power_Opower__class_Opower( X
% 0.94/1.58 , T, Z ) ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.94/1.58 ( X, c_Groups_Oone__class_Oone( X ), Y ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X, Y
% 0.94/1.58 , T ), c_Power_Opower__class_Opower( X, Y, Z ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.94/1.58 ( X, c_Groups_Oone__class_Oone( X ), Y ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X, Y
% 0.94/1.58 , T ), c_Power_Opower__class_Opower( X, Y, Z ) ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.94/1.58 ( X, c_Groups_Oone__class_Oone( X ), Y ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X, Y
% 0.94/1.58 , T ), c_Power_Opower__class_Opower( X, Y, Z ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ) }.
% 0.94/1.58 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.94/1.58 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.58 ( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Z ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 0.94/1.58 c_Power_Opower__class_Opower( X, Y, Z ) ) }.
% 0.94/1.58 { ! class_Power_Opower( X ), ! class_Rings_Osemiring__0( X ), !
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.94/1.58 ( X, c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of(
% 0.94/1.58 tc_Nat_Onat, Y ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.94/1.58 { ! class_Power_Opower( X ), ! class_Rings_Osemiring__0( X ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.94/1.58 ( X, c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of(
% 0.94/1.58 tc_Nat_Onat, Y ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.58 { c_Power_Opower__class_Opower( tc_Complex_Ocomplex,
% 0.94/1.58 c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt( X ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ) = X }.
% 0.94/1.58 { ! class_Rings_Ocomm__semiring__1( X ), c_Power_Opower__class_Opower( X, Y
% 0.94/1.58 , c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 0.94/1.58 c_Groups_Oone__class_Oone( X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y,
% 0.94/1.58 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.94/1.58 c_Int_OBit1( c_Int_OPls ) ) ) ) ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.58 tc_RealDef_Oreal, Z, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X
% 0.94/1.58 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.94/1.58 c_Int_OBit1( c_Int_OPls ) ) ) ) ), ! c_Orderings_Oord__class_Oless__eq(
% 0.94/1.58 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), !
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Z ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_NthRoot_Osqrt(
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.58 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Z,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ) ) ), X ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.94/1.58 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, c_NthRoot_Osqrt(
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.58 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ) ) ) ) ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal )
% 0.94/1.58 ) }.
% 0.94/1.58 { c_NthRoot_Osqrt( c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) =
% 0.94/1.58 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.94/1.58 { ! c_NthRoot_Osqrt( X ) = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X
% 0.94/1.58 = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.94/1.58 { ! X = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X )
% 0.94/1.58 = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.94/1.58 { c_NthRoot_Osqrt( c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y, X ) )
% 0.94/1.58 = c_Power_Opower__class_Opower( tc_RealDef_Oreal, c_NthRoot_Osqrt( Y ),
% 0.94/1.58 X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_NthRoot_Osqrt( Y )
% 0.94/1.58 , c_NthRoot_Osqrt( X ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_NthRoot_Osqrt( Y
% 0.94/1.58 ), c_NthRoot_Osqrt( X ) ), c_Orderings_Oord__class_Oless__eq(
% 0.94/1.58 tc_RealDef_Oreal, Y, X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_NthRoot_Osqrt( Y )
% 0.94/1.58 , c_NthRoot_Osqrt( X ) ) }.
% 0.94/1.58 { c_NthRoot_Osqrt( c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.94/1.58 { ! c_NthRoot_Osqrt( X ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal )
% 0.94/1.58 , X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.94/1.58 { ! X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X
% 0.94/1.58 ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_NthRoot_Osqrt( Y ),
% 0.94/1.58 c_NthRoot_Osqrt( X ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_NthRoot_Osqrt( Y ),
% 0.94/1.58 c_NthRoot_Osqrt( X ) ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.58 Y, X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_NthRoot_Osqrt( Y ),
% 0.94/1.58 c_NthRoot_Osqrt( X ) ) }.
% 0.94/1.58 { c_NthRoot_Osqrt( c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X
% 0.94/1.58 ) ) = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_NthRoot_Osqrt
% 0.94/1.58 ( Y ), c_NthRoot_Osqrt( X ) ) }.
% 0.94/1.58 { ! c_NthRoot_Osqrt( Y ) = c_NthRoot_Osqrt( X ), Y = X }.
% 0.94/1.58 { ! Y = X, c_NthRoot_Osqrt( Y ) = c_NthRoot_Osqrt( X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ) }
% 0.94/1.58 .
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_NthRoot_Osqrt( X
% 0.94/1.58 ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_NthRoot_Osqrt( X )
% 0.94/1.58 , c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ) }
% 0.94/1.58 .
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), ! c_NthRoot_Osqrt(
% 0.94/1.58 X ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ) }
% 0.94/1.58 .
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), ! c_NthRoot_Osqrt(
% 0.94/1.58 X ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ) }
% 0.94/1.58 .
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_NthRoot_Osqrt( X
% 0.94/1.58 ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.94/1.58 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.94/1.58 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_NthRoot_Osqrt( X )
% 0.94/1.58 , c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 0.94/1.58 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.94/1.58 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.94/1.58 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 0.94/1.58 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ) }.
% 0.94/1.58 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Z
% 0.94/1.58 , Y ) = c_Groups_Oplus__class_Oplus( X, Y, Z ) }.
% 0.94/1.58 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, T
% 0.94/1.58 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.94/1.58 ( X, Z, c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.94/1.58 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, T
% 0.94/1.58 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.94/1.58 ( X, c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) }.
% 0.94/1.58 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.94/1.58 ( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y ) ) }.
% 0.94/1.58 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.94/1.58 ( X, c_Groups_Oplus__class_Oplus( X, T, Y ), Z ) }.
% 0.94/1.58 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.94/1.58 , Y ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X
% 0.94/1.58 , U, Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt(
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.94/1.58 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt(
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.94/1.58 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_NthRoot_Osqrt(
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.94/1.58 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.94/1.58 { c_NthRoot_Osqrt( c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ) ) = c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) }
% 0.94/1.58 .
% 0.94/1.58 { ! c_Power_Opower__class_Opower( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ) = X, c_Orderings_Oord__class_Oless__eq(
% 0.94/1.58 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }
% 0.94/1.58 .
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.94/1.58 c_Power_Opower__class_Opower( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ) = X }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.94/1.58 c_Power_Opower__class_Opower( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ) = X }.
% 0.94/1.58 { ! c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ) = X, ! c_Orderings_Oord__class_Oless__eq(
% 0.94/1.58 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.94/1.58 c_NthRoot_Osqrt( X ) = Y }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.94/1.58 c_Power_Opower__class_Opower( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.58 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, c_NthRoot_Osqrt(
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.94/1.58 c_Int_OBit1( c_Int_OPls ) ) ) ) ), X ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, c_NthRoot_Osqrt(
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.58 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ) ) ) ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, c_NthRoot_Osqrt(
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.58 c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ) ) ) ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_NthRoot_Osqrt(
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.58 c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, T, Z ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ) ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.58 c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.58 c_Power_Opower__class_Opower( tc_RealDef_Oreal, T,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ) ) ), c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus(
% 0.94/1.58 tc_RealDef_Oreal, c_Power_Opower__class_Opower( tc_RealDef_Oreal, Z,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ) ) ) ) ) }.
% 0.94/1.58 { ! c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.58 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ) ) ) = Y, X = c_Groups_Ozero__class_Ozero(
% 0.94/1.58 tc_RealDef_Oreal ) }.
% 0.94/1.58 { ! c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.58 c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ) ) ) = Y, X = c_Groups_Ozero__class_Ozero(
% 0.94/1.58 tc_RealDef_Oreal ) }.
% 0.94/1.58 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.94/1.58 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.94/1.58 , c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.94/1.58 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.94/1.58 ( X ), ! Z = c_Groups_Oplus__class_Oplus( X, Z, Y ), Y =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.58 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.94/1.58 ( X ), ! Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.94/1.58 c_Groups_Oplus__class_Oplus( X, Z, Y ) }.
% 0.94/1.58 { ! class_Rings_Ocomm__semiring__1( X ), c_Power_Opower__class_Opower( X, Y
% 0.94/1.58 , c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) = Y }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt(
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.58 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ) ) ) ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ), c_NthRoot_Osqrt(
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.58 c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ) ) ) ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ), c_NthRoot_Osqrt(
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.58 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ) ) ) ) }.
% 0.94/1.58 { c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) =
% 0.94/1.58 c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.58 c_Power_Opower__class_Opower( tc_RealDef_Oreal, c_Complex_ORe( X ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.94/1.58 c_Complex_OIm( X ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 0.94/1.58 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ) }.
% 0.94/1.58 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ),
% 0.94/1.58 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, c_NthRoot_Osqrt(
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.94/1.58 c_Int_OBit1( c_Int_OPls ) ) ) ) ) ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.58 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Z ),
% 0.94/1.58 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, c_NthRoot_Osqrt(
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.94/1.58 c_Int_OBit1( c_Int_OPls ) ) ) ) ) ), c_Orderings_Oord__class_Oless(
% 0.94/1.58 tc_RealDef_Oreal, c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus(
% 0.94/1.58 tc_RealDef_Oreal, c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Z,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ) ) ), X ) }.
% 0.94/1.58 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt(
% 0.94/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.58 c_Power_Opower__class_Opower( tc_RealDef_Oreal, T,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Z,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.58 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ) ) ) ) ) }.
% 0.94/1.58 { ! c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) =
% 0.94/1.58 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, X,
% 0.94/1.58 c_Groups_Oone__class_Oone( tc_Complex_Ocomplex ) ) ),
% 0.94/1.58 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X,
% 0.94/1.58 c_Groups_Oone__class_Oone( tc_Complex_Ocomplex ) ) ),
% 0.94/1.58 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, X, c_Complex_Oii ) ),
% 0.94/1.58 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.94/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.94/1.58 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, c_Complex_Oii ) )
% 0.94/1.58 , c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.94/1.58 { c_Complex_ORe( c_Rings_Oinverse__class_Oinverse( tc_Complex_Ocomplex, X )
% 0.94/1.58 ) = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Complex_ORe( X
% 0.94/1.58 ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.58 c_Power_Opower__class_Opower( tc_RealDef_Oreal, c_Complex_ORe( X ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.58 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.94/1.58 c_Complex_OIm( X ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 0.94/1.58 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ) }.
% 0.94/1.58 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.58 Y, c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.94/1.58 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.58 c_Groups_Oone__class_Oone( X ), Y ) = Y }.
% 0.94/1.58 { ! class_Rings_Odivision__ring__inverse__zero( X ),
% 0.94/1.58 c_Rings_Oinverse__class_Oinverse( X, c_Power_Opower__class_Opower( X, Z,
% 0.94/1.58 Y ) ) = c_Power_Opower__class_Opower( X, c_Rings_Oinverse__class_Oinverse
% 0.94/1.58 ( X, Z ), Y ) }.
% 0.94/1.58 { ! class_Groups_Omonoid__mult( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.58 c_Power_Opower__class_Opower( X, Z, Y ), Z ) =
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, Z, c_Power_Opower__class_Opower( X, Z,
% 0.94/1.58 Y ) ) }.
% 0.94/1.58 { ! class_Groups_Ocomm__monoid__mult( X ), c_Power_Opower__class_Opower( X
% 0.94/1.58 , c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, c_Power_Opower__class_Opower( X, T, Y )
% 0.94/1.58 , c_Power_Opower__class_Opower( X, Z, Y ) ) }.
% 0.94/1.58 { ! class_Rings_Ocomm__semiring__1( X ), c_Power_Opower__class_Opower( X,
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, c_Power_Opower__class_Opower( X, T, Y )
% 0.94/1.58 , c_Power_Opower__class_Opower( X, Z, Y ) ) }.
% 0.94/1.58 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.58 Z, Y ) = c_Groups_Otimes__class_Otimes( X, Y, Z ) }.
% 0.94/1.58 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.58 T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Otimes__class_Otimes( X, T
% 0.94/1.58 , Y ) ) }.
% 0.94/1.58 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.58 T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.94/1.58 ), Y ) }.
% 0.94/1.58 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.94/1.58 , Y ) ) }.
% 0.94/1.58 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, T, Y
% 0.94/1.58 ), Z ) }.
% 0.94/1.58 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.94/1.58 X, Z, Y ) ) = c_Groups_Otimes__class_Otimes( X, U,
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.94/1.58 , Y ) ) ) }.
% 0.94/1.58 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.94/1.58 X, Z, Y ) ) = c_Groups_Otimes__class_Otimes( X, Z,
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, U, T
% 0.94/1.58 ), Y ) ) }.
% 0.94/1.58 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.94/1.58 X, Z, Y ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.94/1.58 X, T, Y ) ) }.
% 0.94/1.58 { c_NthRoot_Osqrt( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X )
% 0.94/1.58 ) = c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, c_NthRoot_Osqrt( Y
% 0.94/1.58 ), c_NthRoot_Osqrt( X ) ) }.
% 0.94/1.58 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.58 }.
% 0.94/1.58 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.58 Y, c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.58 }.
% 0.94/1.58 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.94/1.58 ( X ), ! c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.94/1.58 , U, T ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.94/1.58 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Y )
% 0.94/1.58 , c_Groups_Otimes__class_Otimes( X, Z, T ) ), U = Z, T = Y }.
% 0.94/1.58 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.94/1.58 ( X ), ! U = Z, c_Groups_Oplus__class_Oplus( X,
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.94/1.58 X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, U, Y ), c_Groups_Otimes__class_Otimes(
% 0.94/1.58 X, Z, T ) ) }.
% 0.94/1.58 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.94/1.58 ( X ), ! T = Y, c_Groups_Oplus__class_Oplus( X,
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.94/1.58 X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, U, Y ), c_Groups_Otimes__class_Otimes(
% 0.94/1.58 X, Z, T ) ) }.
% 0.94/1.58 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Groups_Otimes__class_Otimes(
% 0.94/1.58 X, Y, Z ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( X, T, Y ), Z ) }.
% 0.94/1.58 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.94/1.58 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.94/1.58 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.94/1.58 ( X ), U = T, Z = Y, ! c_Groups_Oplus__class_Oplus( X,
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.94/1.58 X, T, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, U, Y ), c_Groups_Otimes__class_Otimes(
% 0.94/1.58 X, T, Z ) ) }.
% 0.94/1.58 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.94/1.58 ( X ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.58 U, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) =
% 0.94/1.58 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Y )
% 0.94/1.58 , c_Groups_Otimes__class_Otimes( X, T, Z ) ), ! U = T }.
% 0.94/1.58 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.94/1.58 ( X ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.58 U, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) =
% 0.94/1.58 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Y )
% 0.94/1.58 , c_Groups_Otimes__class_Otimes( X, T, Z ) ), ! Z = Y }.
% 0.94/1.58 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.58 T, c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.94/1.58 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.94/1.58 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.58 c_Rings_Oinverse__class_Oinverse( X, Y ),
% 0.94/1.58 c_Rings_Oinverse__class_Oinverse( X, Z ) ) =
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( X, Y, Z ), c_Rings_Oinverse__class_Oinverse
% 0.94/1.58 ( X, Y ) ), c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 0.94/1.58 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.58 , Z = c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.58 c_Rings_Oinverse__class_Oinverse( X, Y ),
% 0.94/1.58 c_Rings_Oinverse__class_Oinverse( X, Z ) ) =
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.58 c_Rings_Oinverse__class_Oinverse( X, Y ), c_Groups_Oplus__class_Oplus( X
% 0.94/1.58 , Y, Z ) ), c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 0.94/1.58 { ! class_Rings_Osemiring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Oplus__class_Oplus( X
% 0.94/1.58 , c_Groups_Otimes__class_Otimes( X, Z, T ), Y ) ) =
% 0.94/1.58 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( X, U, Z ), T ), Y ) }.
% 0.94/1.58 { ! class_Rings_Ocomm__semiring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.94/1.58 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.94/1.58 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.94/1.58 ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.58 T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.94/1.58 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.94/1.58 ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.58 T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.94/1.58 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.94/1.58 , Y ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.94/1.58 , T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.94/1.58 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.94/1.58 , Y ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.94/1.58 , T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.94/1.58 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Ominus__class_Ominus( X, Z
% 0.94/1.58 , Y ) ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.94/1.58 ( X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.94/1.58 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Ominus__class_Ominus( X, Z
% 0.94/1.58 , Y ) ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.94/1.58 ( X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.94/1.58 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, T, Z
% 0.94/1.58 ), Y ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.94/1.58 ( X, T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.94/1.58 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, T, Z
% 0.94/1.58 ), Y ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.94/1.58 ( X, T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.94/1.58 { ! class_Rings_Odivision__ring( X ), c_Groups_Otimes__class_Otimes( X, T,
% 0.94/1.58 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.94/1.58 c_Rings_Oinverse__class_Odivide( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.94/1.58 Z ), Y ) }.
% 0.94/1.58 { ! class_Fields_Ofield__inverse__zero( X ), c_Groups_Otimes__class_Otimes
% 0.94/1.58 ( X, c_Rings_Oinverse__class_Odivide( X, U, T ),
% 0.94/1.58 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.94/1.58 c_Rings_Oinverse__class_Odivide( X, c_Groups_Otimes__class_Otimes( X, U,
% 0.94/1.58 Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.94/1.58 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.94/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ) =
% 0.94/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ), Z = Y }.
% 0.94/1.58 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! Z = Y,
% 0.94/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ) =
% 0.94/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) }.
% 0.94/1.58 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.94/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ) =
% 0.94/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ), Z = Y }.
% 0.94/1.58 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! Z = Y,
% 0.94/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ) =
% 0.94/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) }.
% 0.94/1.58 { c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ),
% 0.94/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ) ) =
% 0.94/1.58 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, Y ) }.
% 0.94/1.58 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, Y ), X ) =
% 0.94/1.58 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.94/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.94/1.58 { ! class_RealVector_Oreal__normed__div__algebra( X ), Y =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), c_RealVector_Onorm__class_Onorm( X,
% 0.94/1.58 c_Rings_Oinverse__class_Oinverse( X, Y ) ) =
% 0.94/1.58 c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal,
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( X, Y ) ) }.
% 0.94/1.58 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.58 , Z = c_Groups_Ozero__class_Ozero( X ), c_Groups_Ominus__class_Ominus( X
% 0.94/1.58 , c_Rings_Oinverse__class_Oinverse( X, Y ),
% 0.94/1.58 c_Rings_Oinverse__class_Oinverse( X, Z ) ) =
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.58 c_Rings_Oinverse__class_Oinverse( X, Y ), c_Groups_Ominus__class_Ominus(
% 0.94/1.58 X, Z, Y ) ), c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 0.94/1.58 { ! class_RealVector_Oreal__normed__div__algebra( X ), !
% 0.94/1.58 class_Rings_Odivision__ring__inverse__zero( X ),
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( X, c_Rings_Oinverse__class_Oinverse( X,
% 0.94/1.58 Y ) ) = c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal,
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( X, Y ) ) }.
% 0.94/1.58 { ! class_RealVector_Oreal__normed__div__algebra( X ),
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.94/1.58 Y ) ) = c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.94/1.58 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.94/1.58 ( X, Y ) ) }.
% 0.94/1.58 { ! class_Rings_Odivision__ring__inverse__zero( X ),
% 0.94/1.58 c_Rings_Oinverse__class_Oinverse( X, c_Rings_Oinverse__class_Oinverse( X
% 0.94/1.58 , Y ) ) = Y }.
% 0.94/1.58 { ! class_Rings_Odivision__ring__inverse__zero( X ), !
% 0.94/1.58 c_Rings_Oinverse__class_Oinverse( X, Z ) =
% 0.94/1.58 c_Rings_Oinverse__class_Oinverse( X, Y ), Z = Y }.
% 0.94/1.58 { ! class_Rings_Odivision__ring__inverse__zero( X ), ! Z = Y,
% 0.94/1.58 c_Rings_Oinverse__class_Oinverse( X, Z ) =
% 0.94/1.58 c_Rings_Oinverse__class_Oinverse( X, Y ) }.
% 0.94/1.58 { ! class_Rings_Odivision__ring__inverse__zero( X ), !
% 0.94/1.58 c_Rings_Oinverse__class_Oinverse( X, Z ) =
% 0.94/1.58 c_Rings_Oinverse__class_Oinverse( X, Y ), Z = Y }.
% 0.94/1.58 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X, Z
% 0.94/1.58 , Y ) = c_Groups_Otimes__class_Otimes( X, Z,
% 0.94/1.58 c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.94/1.58 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.58 , Z = c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Oinverse
% 0.94/1.58 ( X, c_Groups_Otimes__class_Otimes( X, Y, Z ) ) =
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, c_Rings_Oinverse__class_Oinverse( X, Z
% 0.94/1.58 ), c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.94/1.58 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Otimes__class_Otimes(
% 0.94/1.58 X, c_Int_Onumber__class_Onumber__of( X, Z ), Y ) ) =
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.58 c_Groups_Otimes__class_Otimes( tc_Int_Oint, T, Z ) ), Y ) }.
% 0.94/1.58 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( X, Z ),
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.94/1.58 c_Int_Onumber__class_Onumber__of( X, c_Groups_Otimes__class_Otimes(
% 0.94/1.58 tc_Int_Oint, Z, Y ) ) }.
% 0.94/1.58 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.58 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ) ) =
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.94/1.58 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.94/1.58 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) =
% 0.94/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) }.
% 0.94/1.58 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.94/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, Y ), X ) =
% 0.94/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z,
% 0.94/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.94/1.58 { ! class_Groups_Oab__semigroup__mult( X ), c_Groups_Otimes__class_Otimes(
% 0.94/1.58 X, c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.94/1.58 , Y ) ) }.
% 0.94/1.58 { ! class_Fields_Ofield__inverse__zero( X ),
% 0.94/1.58 c_Rings_Oinverse__class_Oinverse( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.94/1.58 , Y ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.94/1.58 c_Rings_Oinverse__class_Oinverse( X, Z ),
% 0.94/1.58 c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.94/1.58 { ! class_Fields_Ofield( X ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) =
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, Z, c_Rings_Oinverse__class_Oinverse( X
% 0.94/1.58 , Y ) ) }.
% 0.94/1.58 { ! class_Rings_Omult__zero( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.58 }.
% 0.94/1.58 { ! class_Rings_Omult__zero( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.58 { ! class_Rings_Oring__no__zero__divisors( X ), !
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.94/1.58 ), Z = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero
% 0.94/1.58 ( X ) }.
% 0.94/1.58 { ! class_Rings_Oring__no__zero__divisors( X ), ! Z =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.94/1.58 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.58 { ! class_Rings_Oring__no__zero__divisors( X ), ! Y =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.94/1.58 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.58 { ! class_Rings_Ono__zero__divisors( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.94/1.58 X ), Z = c_Groups_Ozero__class_Ozero( X ), !
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, Y, Z ) = c_Groups_Ozero__class_Ozero( X
% 0.94/1.58 ) }.
% 0.94/1.58 { ! class_Rings_Ono__zero__divisors( X ), ! c_Groups_Otimes__class_Otimes(
% 0.94/1.58 X, Z, Y ) = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.94/1.58 .
% 0.94/1.58 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, c_Groups_Ozero__class_Ozero( X ), Y ) =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.58 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.94/1.58 c_Groups_Otimes__class_Otimes( X, c_Groups_Ozero__class_Ozero( X ), Y ) =
% 0.94/1.58 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.58 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Y, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.59 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Y, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.59 { ! class_Fields_Ofield__inverse__zero( X ),
% 0.94/1.59 c_Rings_Oinverse__class_Oinverse( X, c_Rings_Oinverse__class_Odivide( X,
% 0.94/1.59 Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X, Y, Z ) }.
% 0.94/1.59 { ! class_Rings_Odivision__ring__inverse__zero( X ),
% 0.94/1.59 c_Rings_Oinverse__class_Oinverse( X, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.59 { ! class_Rings_Odivision__ring__inverse__zero( X ), !
% 0.94/1.59 c_Rings_Oinverse__class_Oinverse( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.94/1.59 ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.59 { ! class_Rings_Odivision__ring__inverse__zero( X ), ! Y =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Oinverse( X, Y
% 0.94/1.59 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.59 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.59 , ! c_Rings_Oinverse__class_Oinverse( X, Y ) =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.59 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.59 , c_Rings_Oinverse__class_Oinverse( X, c_Rings_Oinverse__class_Oinverse(
% 0.94/1.59 X, Y ) ) = Y }.
% 0.94/1.59 { ! class_Rings_Odivision__ring( X ), ! c_Rings_Oinverse__class_Oinverse( X
% 0.94/1.59 , Y ) = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero
% 0.94/1.59 ( X ) }.
% 0.94/1.59 { ! class_Rings_Odivision__ring( X ), ! c_Rings_Oinverse__class_Oinverse( X
% 0.94/1.59 , Z ) = c_Rings_Oinverse__class_Oinverse( X, Y ), Z =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z
% 0.94/1.59 = Y }.
% 0.94/1.59 { ! class_Fields_Ofield__inverse__zero( X ),
% 0.94/1.59 c_Rings_Oinverse__class_Oinverse( X, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.59 { ! class_RealVector_Oreal__normed__algebra( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.59 c_RealVector_Onorm__class_Onorm( X, Z ), Y ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.59 c_RealVector_Onorm__class_Onorm( X, U ), T ),
% 0.94/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.59 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.94/1.59 U ) ), c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, T ) ) }.
% 0.94/1.59 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.59 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.94/1.59 Y ) ), c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.94/1.59 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.94/1.59 ( X, Y ) ) ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ),
% 0.94/1.59 c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Oinverse( X, Y ) )
% 0.94/1.59 = c_Rings_Oinverse__class_Oinverse( X, c_Groups_Oabs__class_Oabs( X, Y )
% 0.94/1.59 ) }.
% 0.94/1.59 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) = X }.
% 0.94/1.59 { ! class_Rings_Olinordered__idom( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.59 c_Groups_Oabs__class_Oabs( X, Y ), c_Groups_Oabs__class_Oabs( X, Y ) ) =
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Y, Y ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__idom( X ), c_Groups_Oabs__class_Oabs( X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.94/1.59 c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.94/1.59 { ! class_Groups_Omonoid__mult( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.59 c_Groups_Oone__class_Oone( X ), Y ) = Y }.
% 0.94/1.59 { ! class_Groups_Ocomm__monoid__mult( X ), c_Groups_Otimes__class_Otimes( X
% 0.94/1.59 , c_Groups_Oone__class_Oone( X ), Y ) = Y }.
% 0.94/1.59 { ! class_Groups_Omonoid__mult( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.94/1.59 c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.94/1.59 { ! class_Groups_Ocomm__monoid__mult( X ), c_Groups_Otimes__class_Otimes( X
% 0.94/1.59 , Y, c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.94/1.59 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.94/1.59 c_Rings_Oinverse__class_Oinverse( X, Y ) = c_Groups_Oone__class_Oone( X )
% 0.94/1.59 , Y = c_Groups_Oone__class_Oone( X ) }.
% 0.94/1.59 { ! class_Fields_Ofield__inverse__zero( X ), ! Y =
% 0.94/1.59 c_Groups_Oone__class_Oone( X ), c_Rings_Oinverse__class_Oinverse( X, Y )
% 0.94/1.59 = c_Groups_Oone__class_Oone( X ) }.
% 0.94/1.59 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.94/1.59 ), Y ) = c_Groups_Oone__class_Oone( X ) }.
% 0.94/1.59 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.59 , c_Groups_Otimes__class_Otimes( X, Y, c_Rings_Oinverse__class_Oinverse(
% 0.94/1.59 X, Y ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.94/1.59 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.59 , c_Groups_Otimes__class_Otimes( X, c_Rings_Oinverse__class_Oinverse( X,
% 0.94/1.59 Y ), Y ) = c_Groups_Oone__class_Oone( X ) }.
% 0.94/1.59 { ! class_Rings_Odivision__ring( X ), ! c_Groups_Otimes__class_Otimes( X, Z
% 0.94/1.59 , Y ) = c_Groups_Oone__class_Oone( X ), c_Rings_Oinverse__class_Oinverse
% 0.94/1.59 ( X, Z ) = Y }.
% 0.94/1.59 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Oinverse( X,
% 0.94/1.59 c_Groups_Oone__class_Oone( X ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.94/1.59 { ! class_RealVector_Oreal__normed__div__algebra( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z,
% 0.94/1.59 c_RealVector_Onorm__class_Onorm( X, Y ) ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Z ),
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.59 c_RealVector_Onorm__class_Onorm( X, c_Rings_Oinverse__class_Oinverse( X,
% 0.94/1.59 Y ) ), c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, Z ) ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse( X
% 0.94/1.59 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.59 ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.59 ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.59 c_Rings_Oinverse__class_Oinverse( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.94/1.59 ) ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.59 c_Rings_Oinverse__class_Oinverse( X, Y ) ),
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.59 ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.59 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.94/1.59 ), c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.59 X, c_Rings_Oinverse__class_Oinverse( X, Z ),
% 0.94/1.59 c_Rings_Oinverse__class_Oinverse( X, Y ) ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.59 X, c_Rings_Oinverse__class_Oinverse( X, Z ),
% 0.94/1.59 c_Rings_Oinverse__class_Oinverse( X, Y ) ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.59 X, c_Rings_Oinverse__class_Oinverse( X, Y ), c_Groups_Ozero__class_Ozero
% 0.94/1.59 ( X ) ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ) }
% 0.94/1.59 .
% 0.94/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.59 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Rings_Oinverse__class_Oinverse( X, Y ),
% 0.94/1.59 c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.59 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Rings_Oinverse__class_Oinverse( X, Y ),
% 0.94/1.59 c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.59 X, Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless(
% 0.94/1.59 X, c_Rings_Oinverse__class_Oinverse( X, Y ), c_Groups_Ozero__class_Ozero
% 0.94/1.59 ( X ) ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.59 X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Oinverse( X
% 0.94/1.59 , Y ) ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ) }
% 0.94/1.59 .
% 0.94/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.59 X, c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless(
% 0.94/1.59 X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Oinverse( X
% 0.94/1.59 , Y ) ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.94/1.59 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.94/1.59 , Y, c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.94/1.59 ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.59 c_Rings_Oinverse__class_Oinverse( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.94/1.59 ( X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.59 c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.94/1.59 { ! c_Complex_Oii = c_Groups_Ozero__class_Ozero( tc_Complex_Ocomplex ) }.
% 0.94/1.59 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.59 , c_Rings_Oinverse__class_Oinverse( X, c_Power_Opower__class_Opower( X, Y
% 0.94/1.59 , Z ) ) = c_Power_Opower__class_Opower( X,
% 0.94/1.59 c_Rings_Oinverse__class_Oinverse( X, Y ), Z ) }.
% 0.94/1.59 { ! c_Complex_Oii = c_Groups_Oone__class_Oone( tc_Complex_Ocomplex ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.94/1.59 X ), c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.94/1.59 ) ) = c_Rings_Oinverse__class_Oinverse( X, c_Groups_Oabs__class_Oabs( X
% 0.94/1.59 , Y ) ) }.
% 0.94/1.59 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Oinverse( X,
% 0.94/1.59 Y ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X )
% 0.94/1.59 , Y ) }.
% 0.94/1.59 { ! class_Fields_Ofield( X ), c_Rings_Oinverse__class_Oinverse( X, Y ) =
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X ), Y ) }
% 0.94/1.59 .
% 0.94/1.59 { ! c_Complex_Oii = c_Int_Onumber__class_Onumber__of( tc_Complex_Ocomplex,
% 0.94/1.59 X ) }.
% 0.94/1.59 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.94/1.59 ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.59 , c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero(
% 0.94/1.59 X ) ) }.
% 0.94/1.59 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.59 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.94/1.59 X ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero( X
% 0.94/1.59 ) ) }.
% 0.94/1.59 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.59 , c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.59 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.94/1.59 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.94/1.59 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.59 , Z, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.59 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.94/1.59 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.94/1.59 { ! class_Rings_Oordered__semiring( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.59 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.94/1.59 X ), U ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Z, U ), c_Groups_Otimes__class_Otimes(
% 0.94/1.59 X, Y, T ) ) }.
% 0.94/1.59 { ! class_Rings_Oordered__semiring( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.94/1.59 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.94/1.59 X ), U ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Z, U ), c_Groups_Otimes__class_Otimes(
% 0.94/1.59 X, Y, T ) ) }.
% 0.94/1.59 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.59 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.59 , c_Groups_Otimes__class_Otimes( X, T, Y ), c_Groups_Otimes__class_Otimes
% 0.94/1.59 ( X, T, Z ) ) }.
% 0.94/1.59 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.59 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.59 , c_Groups_Otimes__class_Otimes( X, Y, T ), c_Groups_Otimes__class_Otimes
% 0.94/1.59 ( X, Z, T ) ) }.
% 0.94/1.59 { ! class_Rings_Oordered__comm__semiring( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.94/1.59 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 0.94/1.59 X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.94/1.59 { ! class_Rings_Oordered__semiring( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.94/1.59 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 0.94/1.59 X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.94/1.59 { ! class_Rings_Oordered__semiring( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.94/1.59 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 0.94/1.59 X, Z, T ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.94/1.59 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.59 , Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.59 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.94/1.59 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.94/1.59 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.59 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.94/1.59 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Y, Z ), c_Groups_Ozero__class_Ozero( X
% 0.94/1.59 ) ) }.
% 0.94/1.59 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.59 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.59 , c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero(
% 0.94/1.59 X ) ) }.
% 0.94/1.59 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.59 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.59 , c_Groups_Otimes__class_Otimes( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 0.94/1.59 X ) ) }.
% 0.94/1.59 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.59 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.94/1.59 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Y, Z
% 0.94/1.59 ) ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.94/1.59 , Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha9( X, Y, Z ), alpha38( X
% 0.94/1.59 , Y, Z ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha9( X, Y, Z ),
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.94/1.59 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha38( X, Y, Z ),
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.94/1.59 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.59 { ! alpha38( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.59 { ! alpha38( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.94/1.59 ) ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.94/1.59 ( X ), Y ), alpha38( X, Y, Z ) }.
% 0.94/1.59 { ! alpha9( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.94/1.59 { ! alpha9( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.59 , Z ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) ), alpha9( X, Y, Z ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), alpha10( X, Y, Z ), alpha39(
% 0.94/1.59 X, Y, Z ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha10( X, Y, Z ),
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha39( X, Y, Z ),
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.94/1.59 { ! alpha39( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.59 { ! alpha39( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.94/1.59 ) ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) ), alpha39( X, Y, Z ) }.
% 0.94/1.59 { ! alpha10( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.94/1.59 { ! alpha10( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.59 , Z ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), Y ), alpha10( X, Y, Z ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__ring( X ), c_Orderings_Oord__class_Oless__eq(
% 0.94/1.59 X, c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Y
% 0.94/1.59 , Y ) ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.59 ( X, T, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.94/1.59 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, T, Z ) ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.59 ( X, T, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.94/1.59 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Z, T ) ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__comm__semiring__strict( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.59 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.94/1.59 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.59 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.94/1.59 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.59 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.94/1.59 ( X, c_Groups_Otimes__class_Otimes( X, Z, T ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.59 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.94/1.59 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.59 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.94/1.59 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.94/1.59 Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.59 ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.94/1.59 T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.59 ! c_Orderings_Oord__class_Oless( X, Z, T ), c_Orderings_Oord__class_Oless
% 0.94/1.59 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ) }
% 0.94/1.59 .
% 0.94/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ) }
% 0.94/1.59 .
% 0.94/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.59 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.94/1.59 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.94/1.59 Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.59 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.94/1.59 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.94/1.59 Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.59 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.94/1.59 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.59 ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.94/1.59 T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, T, Z ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.59 ! c_Orderings_Oord__class_Oless( X, T, Z ), c_Orderings_Oord__class_Oless
% 0.94/1.59 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.94/1.59 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ), alpha11( X, Y, Z, T ),
% 0.94/1.59 alpha40( X, Y, Z, T ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha11( X, Y, Z, T ),
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.94/1.59 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha40( X, Y, Z, T ),
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.94/1.59 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.94/1.59 { ! alpha40( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.59 { ! alpha40( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Ozero__class_Ozero( X ) )
% 0.94/1.59 , ! c_Orderings_Oord__class_Oless( X, Y, Z ), alpha40( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha11( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), T ) }.
% 0.94/1.59 { ! alpha11( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T )
% 0.94/1.59 , ! c_Orderings_Oord__class_Oless( X, Z, Y ), alpha11( X, Y, Z, T ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.94/1.59 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ), alpha12( X, Y, Z, T ),
% 0.94/1.59 alpha41( X, Y, Z, T ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha12( X, Y, Z, T ),
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.94/1.59 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha41( X, Y, Z, T ),
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.94/1.59 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.94/1.59 { ! alpha41( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.59 { ! alpha41( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Y, T ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.94/1.59 , ! c_Orderings_Oord__class_Oless( X, Y, T ), alpha41( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha12( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.94/1.59 { ! alpha12( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.94/1.59 , ! c_Orderings_Oord__class_Oless( X, T, Y ), alpha12( X, Y, Z, T ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__ring( X ), ! c_Orderings_Oord__class_Oless( X
% 0.94/1.59 , c_Groups_Otimes__class_Otimes( X, Y, Y ), c_Groups_Ozero__class_Ozero(
% 0.94/1.59 X ) ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.59 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z )
% 0.94/1.59 , c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.94/1.59 .
% 0.94/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.59 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z )
% 0.94/1.59 , c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.94/1.59 .
% 0.94/1.59 { ! class_Rings_Olinordered__ring__strict( X ), ! Z =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.59 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z
% 0.94/1.59 ), c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.59 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.94/1.59 ( X ), Y = c_Groups_Ozero__class_Ozero( X ), ! W = U, T = Z, !
% 0.94/1.59 c_Groups_Oplus__class_Oplus( X, W, c_Groups_Otimes__class_Otimes( X, Y, T
% 0.94/1.59 ) ) = c_Groups_Oplus__class_Oplus( X, U, c_Groups_Otimes__class_Otimes(
% 0.94/1.59 X, Y, Z ) ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.94/1.59 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.59 ( X, c_Groups_Oone__class_Oone( X ), Z ), c_Orderings_Oord__class_Oless(
% 0.94/1.59 X, c_Groups_Oone__class_Oone( X ), c_Groups_Otimes__class_Otimes( X, Y, Z
% 0.94/1.59 ) ) }.
% 0.94/1.59 { ! class_Int_Onumber( X ), ! class_Rings_Osemiring( X ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.94/1.59 , c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.94/1.59 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Groups_Otimes__class_Otimes
% 0.94/1.59 ( X, Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.94/1.59 { ! class_Int_Onumber( X ), ! class_Rings_Osemiring( X ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.94/1.59 ), c_Groups_Oplus__class_Oplus( X, Z, Y ) ) =
% 0.94/1.59 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, T ), Z ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.94/1.59 ), Y ) ) }.
% 0.94/1.59 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.94/1.59 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, U, T
% 0.94/1.59 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.94/1.59 c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, U, Z
% 0.94/1.59 ), c_Groups_Ominus__class_Ominus( X, T, Y ) ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, U, Z
% 0.94/1.59 ), Y ) ), c_Groups_Otimes__class_Otimes( X, Z,
% 0.94/1.59 c_Groups_Ominus__class_Ominus( X, T, Y ) ) ) }.
% 0.94/1.59 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.94/1.59 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.94/1.59 , Y ), T = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes
% 0.94/1.59 ( X, c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) }.
% 0.94/1.59 { ! class_Rings_Oring( X ), ! T = c_Groups_Oplus__class_Oplus( X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, Z, W
% 0.94/1.59 ), U ), Y ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.94/1.59 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.94/1.59 , Y ) }.
% 0.94/1.59 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.94/1.59 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.94/1.59 , Y ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.59 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ) = Y }.
% 0.94/1.59 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, W, Z
% 0.94/1.59 ), U ), T ) = Y, c_Groups_Oplus__class_Oplus( X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.94/1.59 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.94/1.59 , Y ) }.
% 0.94/1.59 { ! class_Rings_Oring( X ), c_Groups_Ominus__class_Ominus( X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.94/1.59 X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, U, c_Groups_Ominus__class_Ominus( X, T
% 0.94/1.59 , Y ) ), c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus
% 0.94/1.59 ( X, U, Z ), Y ) ) }.
% 0.94/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.94/1.59 , Y ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X
% 0.94/1.59 , c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ), Y ) }
% 0.94/1.59 .
% 0.94/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Z
% 0.94/1.59 , c_Groups_Otimes__class_Otimes( X, Y, Z ) ) =
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, Y,
% 0.94/1.59 c_Groups_Oone__class_Oone( X ) ), Z ) }.
% 0.94/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Z, Y ), Y ) =
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.94/1.59 c_Groups_Oone__class_Oone( X ) ), Y ) }.
% 0.94/1.59 { ! class_Int_Onumber( X ), ! class_Rings_Oring( X ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.94/1.59 ), c_Groups_Ominus__class_Ominus( X, Z, Y ) ) =
% 0.94/1.59 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, T ), Z ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.94/1.59 ), Y ) ) }.
% 0.94/1.59 { ! class_Int_Onumber( X ), ! class_Rings_Oring( X ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, T, Z
% 0.94/1.59 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.94/1.59 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Groups_Otimes__class_Otimes
% 0.94/1.59 ( X, Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.94/1.59 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), ! c_Rings_Oinverse__class_Odivide( X, U
% 0.94/1.59 , Y ) = c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, U, Z ) = c_Groups_Otimes__class_Otimes
% 0.94/1.59 ( X, T, Y ) }.
% 0.94/1.59 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), ! c_Groups_Otimes__class_Otimes( X, U,
% 0.94/1.59 Z ) = c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, U, Y ) =
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.94/1.59 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Y, T ), c_Groups_Otimes__class_Otimes(
% 0.94/1.59 X, Y, Z ) ) = c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.94/1.59 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, T, Y ), c_Groups_Otimes__class_Otimes(
% 0.94/1.59 X, Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.94/1.59 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y, alpha42( X, Y, Z, T ) }.
% 0.94/1.59 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y, alpha13( X, Y, Z ) }.
% 0.94/1.59 { ! class_Fields_Ofield__inverse__zero( X ), ! alpha42( X, Y, Z, T ), !
% 0.94/1.59 alpha13( X, Y, Z ), c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y }.
% 0.94/1.59 { ! alpha42( X, Y, Z, T ), Z = c_Groups_Ozero__class_Ozero( X ), T =
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Y, Z ) }.
% 0.94/1.59 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha42( X, Y, Z, T ) }.
% 0.94/1.59 { ! T = c_Groups_Otimes__class_Otimes( X, Y, Z ), alpha42( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha13( X, Y, Z ), ! Z = c_Groups_Ozero__class_Ozero( X ), Y =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.59 { Z = c_Groups_Ozero__class_Ozero( X ), alpha13( X, Y, Z ) }.
% 0.94/1.59 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha13( X, Y, Z ) }.
% 0.94/1.59 { ! class_Fields_Ofield__inverse__zero( X ), ! T =
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha43( X, Y, Z, T ) }.
% 0.94/1.59 { ! class_Fields_Ofield__inverse__zero( X ), ! T =
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha14( X, Y, T ) }.
% 0.94/1.59 { ! class_Fields_Ofield__inverse__zero( X ), ! alpha43( X, Y, Z, T ), !
% 0.94/1.59 alpha14( X, Y, T ), T = c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.94/1.59 { ! alpha43( X, Y, Z, T ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, T, Y ) = Z }.
% 0.94/1.59 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha43( X, Y, Z, T ) }.
% 0.94/1.59 { ! c_Groups_Otimes__class_Otimes( X, T, Y ) = Z, alpha43( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha14( X, Y, Z ), ! Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.59 { Y = c_Groups_Ozero__class_Ozero( X ), alpha14( X, Y, Z ) }.
% 0.94/1.59 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha14( X, Y, Z ) }.
% 0.94/1.59 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.59 , ! c_Groups_Otimes__class_Otimes( X, T, Y ) = Z, T =
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.94/1.59 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.59 , ! T = c_Groups_Otimes__class_Otimes( X, Z, Y ),
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z }.
% 0.94/1.59 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.59 , ! c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z, T =
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Z, Y ) }.
% 0.94/1.59 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.59 , ! T = c_Groups_Otimes__class_Otimes( X, Z, Y ),
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z }.
% 0.94/1.59 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.59 , ! T = c_Rings_Oinverse__class_Odivide( X, Z, Y ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, T, Y ) = Z }.
% 0.94/1.59 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.59 , ! c_Groups_Otimes__class_Otimes( X, T, Y ) = Z, T =
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.94/1.59 , c_Groups_Oabs__class_Oabs( X, Z ), Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.59 ( X, c_Groups_Oabs__class_Oabs( X, U ), T ),
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.59 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, U ) ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.94/1.59 { ! class_Groups_Omonoid__mult( X ), c_Power_Opower__class_Opower( X, T,
% 0.94/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) ) =
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, c_Power_Opower__class_Opower( X, T, Z )
% 0.94/1.59 , c_Power_Opower__class_Opower( X, T, Y ) ) }.
% 0.94/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.59 c_Power_Opower__class_Opower( X, T, Z ), c_Power_Opower__class_Opower( X
% 0.94/1.59 , T, Y ) ) = c_Power_Opower__class_Opower( X, T,
% 0.94/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ),
% 0.94/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.94/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ),
% 0.94/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ),
% 0.94/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.94/1.59 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ), X =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.94/1.59 { ! X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) }.
% 0.94/1.59 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.94/1.59 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.94/1.59 { ! Y = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! X =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.94/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.94/1.59 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, Y ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ), hAPP( Z, Y
% 0.94/1.59 ) ), c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y ) ), Y ) ) =
% 0.94/1.59 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ), hAPP( Z, Y
% 0.94/1.59 ) ), c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y ) ), X ) ) }
% 0.94/1.59 .
% 0.94/1.59 { c_NthRoot_Osqrt( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X )
% 0.94/1.59 ) = c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) }.
% 0.94/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Power_Opower__class_Opower( X, Z
% 0.94/1.59 , c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.59 c_Int_OPls ) ) ), Y ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.94/1.59 c_Power_Opower__class_Opower( X, Z, Y ), c_Power_Opower__class_Opower( X
% 0.94/1.59 , Z, Y ) ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse( X
% 0.94/1.59 , Y ), c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse( X
% 0.94/1.59 , Y ), c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse( X
% 0.94/1.59 , Z ), c_Rings_Oinverse__class_Oinverse( X, Y ) ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse( X
% 0.94/1.59 , Z ), c_Rings_Oinverse__class_Oinverse( X, Y ) ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse( X
% 0.94/1.59 , Y ), c_Groups_Oone__class_Oone( X ) ),
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.59 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X )
% 0.94/1.59 , Y ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.59 ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.59 c_Rings_Oinverse__class_Oinverse( X, Y ), c_Groups_Oone__class_Oone( X )
% 0.94/1.59 ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ), Y )
% 0.94/1.59 , c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse
% 0.94/1.59 ( X, Y ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 0.94/1.59 c_Rings_Oinverse__class_Oinverse( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.94/1.59 ( X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 0.94/1.59 c_Rings_Oinverse__class_Oinverse( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.94/1.59 ( X, Y, c_Groups_Oone__class_Oone( X ) ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.59 ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Oone__class_Oone( X ) ),
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 0.94/1.59 c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.59 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.59 ( X, Y, c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless(
% 0.94/1.59 X, c_Groups_Oone__class_Oone( X ), c_Rings_Oinverse__class_Oinverse( X, Y
% 0.94/1.59 ) ) }.
% 0.94/1.59 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.59 , c_Rings_Oinverse__class_Oinverse( X, Y ) =
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X ), Y ) }
% 0.94/1.59 .
% 0.94/1.59 { ! class_Int_Onumber( X ), ! class_Rings_Odivision__ring( X ),
% 0.94/1.59 c_Rings_Oinverse__class_Oinverse( X, c_Int_Onumber__class_Onumber__of( X
% 0.94/1.59 , Y ) ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone(
% 0.94/1.59 X ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.94/1.59 { ! class_Fields_Ofield( X ), ! class_Int_Onumber__ring( X ),
% 0.94/1.59 c_Rings_Oinverse__class_Oinverse( X, c_Int_Onumber__class_Onumber__of( X
% 0.94/1.59 , c_Int_OBit1( c_Int_OPls ) ) ) = c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.59 c_Int_OBit1( c_Int_OPls ) ) }.
% 0.94/1.59 { c_Complex_ORe( c_Complex_Oii ) = c_Groups_Ozero__class_Ozero(
% 0.94/1.59 tc_RealDef_Oreal ) }.
% 0.94/1.59 { c_Complex_OIm( c_Complex_Oii ) = c_Groups_Oone__class_Oone(
% 0.94/1.59 tc_RealDef_Oreal ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.59 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.94/1.59 , Y, T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.59 ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Y
% 0.94/1.59 , T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.59 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.94/1.59 , Y, T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.59 ! c_Orderings_Oord__class_Oless__eq( X, Z, T ),
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Y
% 0.94/1.59 , T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.59 ( X, U, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.94/1.59 ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.94/1.59 , U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.59 ( X, U, T ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.94/1.59 ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.94/1.59 , U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.94/1.59 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.59 , U ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X
% 0.94/1.59 , Z, U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, U, T ), ! c_Orderings_Oord__class_Oless
% 0.94/1.59 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.94/1.59 ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.94/1.59 , U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__semiring( X ), ! c_Orderings_Oord__class_Oless
% 0.94/1.59 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Y, Z ) ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.94/1.59 ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.94/1.59 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.94/1.59 ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__semiring( X ), ! c_Orderings_Oord__class_Oless
% 0.94/1.59 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, T, Y ) ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.94/1.59 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.94/1.59 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.94/1.59 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 0.94/1.59 , Z ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 0.94/1.59 , Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.94/1.59 X, Y, Y ) ), c_Groups_Ozero__class_Ozero( X ) ), Z =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.94/1.59 X, Y, Y ) ), c_Groups_Ozero__class_Ozero( X ) ), Y =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__ring__strict( X ), ! Z =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.59 , c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.94/1.59 X, Y, Y ) ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__ring( X ), c_Orderings_Oord__class_Oless__eq(
% 0.94/1.59 X, c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.94/1.59 X, Y, Y ) ) ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.59 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z )
% 0.94/1.59 , c_Groups_Otimes__class_Otimes( X, Y, Y ) ) ), ! Z =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.59 }.
% 0.94/1.59 { ! class_Rings_Olinordered__ring__strict( X ), Z =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.94/1.59 X, Y, Y ) ) ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__ring__strict( X ), Y =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.94/1.59 X, Y, Y ) ) ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__ring( X ), ! c_Orderings_Oord__class_Oless( X
% 0.94/1.59 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z
% 0.94/1.59 ), c_Groups_Otimes__class_Otimes( X, Y, Y ) ),
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.94/1.59 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.94/1.59 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Oone__class_Oone
% 0.94/1.59 ( X ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Y, Z ), Y ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.94/1.59 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.94/1.59 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Oone__class_Oone
% 0.94/1.59 ( X ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Z, Y ), Y ) }.
% 0.94/1.59 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.59 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U
% 0.94/1.59 ), T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.94/1.59 , Z, U ), Y ) ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.94/1.59 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.59 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ) }.
% 0.94/1.59 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.59 , T, c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.59 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ),
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.94/1.59 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.94/1.59 , Y ) ) }.
% 0.94/1.59 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.59 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U
% 0.94/1.59 ), T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.94/1.59 , Z, U ), Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.59 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.59 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ) }.
% 0.94/1.59 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.59 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.59 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ),
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.94/1.59 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.94/1.59 , Y ) ) }.
% 0.94/1.59 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U )
% 0.94/1.59 , T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.59 Z, U ), Y ) ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.59 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ) }.
% 0.94/1.59 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.59 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ),
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.94/1.59 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.94/1.59 , Y ) ) }.
% 0.94/1.59 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U )
% 0.94/1.59 , T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.59 Z, U ), Y ) ), c_Orderings_Oord__class_Oless( X, T,
% 0.94/1.59 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.59 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ) }.
% 0.94/1.59 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X, T
% 0.94/1.59 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.59 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ),
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.94/1.59 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.94/1.59 , Y ) ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.94/1.59 Z, Y ) ), alpha44( X, Y, Z, T ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.94/1.59 Z, Y ) ), alpha60( X, Y, Z, T ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha44( X, Y, Z
% 0.94/1.59 , T ), ! alpha60( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T,
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.94/1.59 { ! alpha60( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), Y ), alpha72( X, Y, Z, T ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.94/1.59 , alpha60( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha72( X, Y, Z, T ), alpha60( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha72( X, Y, Z, T ), alpha84( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha72( X, Y, Z, T ), alpha15( X, Y, T ) }.
% 0.94/1.59 { ! alpha84( X, Y, Z, T ), ! alpha15( X, Y, T ), alpha72( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha84( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.94/1.59 { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.59 alpha84( X, Y, Z, T ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.59 T, Y ) ), alpha84( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha44( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, T, Y ), Z ) }.
% 0.94/1.59 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.59 alpha44( X, Y, Z, T ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.94/1.59 Y ), Z ), alpha44( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha15( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.94/1.59 , alpha15( X, Y, Z ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.94/1.59 , alpha15( X, Y, Z ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.94/1.59 Z ), Y ), alpha45( X, Y, Z, T ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.94/1.59 Z ), Y ), alpha61( X, Y, Z, T ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha45( X, Y, Z
% 0.94/1.59 , T ), ! alpha61( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, T, Z ), Y ) }.
% 0.94/1.59 { ! alpha61( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), Z ), alpha73( X, Y, Z, T ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.94/1.59 , alpha61( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha73( X, Y, Z, T ), alpha61( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha73( X, Y, Z, T ), alpha85( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha73( X, Y, Z, T ), alpha16( X, Y, Z ) }.
% 0.94/1.59 { ! alpha85( X, Y, Z, T ), ! alpha16( X, Y, Z ), alpha73( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha85( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Y, Z ), T ) }.
% 0.94/1.59 { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.59 alpha85( X, Y, Z, T ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.94/1.59 Z ), T ), alpha85( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha45( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 T, c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.94/1.59 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.94/1.59 alpha45( X, Y, Z, T ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.59 Y, Z ) ), alpha45( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha16( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.94/1.59 , alpha16( X, Y, Z ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.94/1.59 , alpha16( X, Y, Z ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.59 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.59 ( X, T, c_Rings_Oinverse__class_Odivide( X, Z, Y ) ),
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Y
% 0.94/1.59 ), Z ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.59 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.59 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ), Z ),
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.94/1.59 Z, Y ) ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.59 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.59 ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ),
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.94/1.59 , Y ) ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.59 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.59 ( X, T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ),
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.94/1.59 Y ), Z ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.59 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.59 ( X, T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ),
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.94/1.59 Y ), Z ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.59 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.59 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ), Z ),
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.94/1.59 Z, Y ) ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.59 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.94/1.59 ( X, T, c_Rings_Oinverse__class_Odivide( X, Z, Y ) ),
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X, T
% 0.94/1.59 , Y ) ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.59 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.94/1.59 ( X, Z, c_Groups_Otimes__class_Otimes( X, T, Y ) ),
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.94/1.59 Z, Y ) ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.59 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.94/1.59 ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ),
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.94/1.59 ), T ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.59 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.94/1.59 ( X, c_Groups_Otimes__class_Otimes( X, Z, Y ), T ),
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.94/1.59 Y ), Z ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.59 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), T ), ! c_Orderings_Oord__class_Oless( X
% 0.94/1.59 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.94/1.59 Z ) ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide
% 0.94/1.59 ( X, T, Y ), c_Rings_Oinverse__class_Odivide( X, T, Z ) ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.59 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.94/1.59 ) ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide(
% 0.94/1.59 X, T, Z ), c_Rings_Oinverse__class_Odivide( X, T, Y ) ) }.
% 0.94/1.59 { ! class_Rings_Oring__1( X ), c_Groups_Ominus__class_Ominus( X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Y, Y ), c_Groups_Oone__class_Oone( X )
% 0.94/1.59 ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.94/1.59 , c_Groups_Oone__class_Oone( X ) ), c_Groups_Ominus__class_Ominus( X, Y,
% 0.94/1.59 c_Groups_Oone__class_Oone( X ) ) ) }.
% 0.94/1.59 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, U, Y ),
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, T, Z ) ) =
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.94/1.59 X, T, Y ) ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.94/1.59 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.59 c_Groups_Oplus__class_Oplus( X, c_Rings_Oinverse__class_Odivide( X, T, Y
% 0.94/1.59 ), Z ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus
% 0.94/1.59 ( X, T, c_Groups_Otimes__class_Otimes( X, Y, Z ) ), Y ) }.
% 0.94/1.59 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) =
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), Y ) }.
% 0.94/1.59 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.59 c_Groups_Oplus__class_Oplus( X, T, c_Rings_Oinverse__class_Odivide( X, Z
% 0.94/1.59 , Y ) ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus
% 0.94/1.59 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ), Z ), Y ) }.
% 0.94/1.59 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, T,
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, T, Y ) ), Y ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.94/1.59 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), c_Groups_Otimes__class_Otimes
% 0.94/1.59 ( X, c_Groups_Oabs__class_Oabs( X, Z ), Y ) = c_Groups_Oabs__class_Oabs(
% 0.94/1.59 X, c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.94/1.59 { ! class_Rings_Oordered__ring__abs( X ), alpha97( X, Z ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.59 ), c_Groups_Oabs__class_Oabs( X, c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.94/1.59 ) ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Oabs__class_Oabs( X, Z
% 0.94/1.59 ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.94/1.59 { ! class_Rings_Oordered__ring__abs( X ), alpha97( X, Z ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.59 ), c_Groups_Oabs__class_Oabs( X, c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.94/1.59 ) ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Oabs__class_Oabs( X, Z
% 0.94/1.59 ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.94/1.59 { ! alpha97( X, Y ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.94/1.59 { ! alpha97( X, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.59 { c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.59 ), c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero
% 0.94/1.59 ( X ) ), alpha97( X, Y ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.94/1.59 ( X, c_Groups_Oone__class_Oone( X ), Y ), c_Orderings_Oord__class_Oless(
% 0.94/1.59 X, c_Power_Opower__class_Opower( X, Y, Z ), c_Groups_Otimes__class_Otimes
% 0.94/1.59 ( X, Y, c_Power_Opower__class_Opower( X, Y, Z ) ) ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.94/1.59 ( X, c_Groups_Oone__class_Oone( X ), Y ), c_Orderings_Oord__class_Oless(
% 0.94/1.59 X, c_Groups_Oone__class_Oone( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.94/1.59 c_Power_Opower__class_Opower( X, Y, Z ) ) ) }.
% 0.94/1.59 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), ! T
% 0.94/1.59 = c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of
% 0.94/1.59 ( X, Y ) ), alpha46( X, Y, Z, T ) }.
% 0.94/1.59 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), ! T
% 0.94/1.59 = c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of
% 0.94/1.59 ( X, Y ) ), alpha17( X, Y, T ) }.
% 0.94/1.59 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.94/1.59 alpha46( X, Y, Z, T ), ! alpha17( X, Y, T ), T =
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.94/1.59 X, Y ) ) }.
% 0.94/1.59 { ! alpha46( X, Y, Z, T ), c_Int_Onumber__class_Onumber__of( X, Y ) =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, T,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, Y ) ) = Z }.
% 0.94/1.59 { ! c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero
% 0.94/1.59 ( X ), alpha46( X, Y, Z, T ) }.
% 0.94/1.59 { ! c_Groups_Otimes__class_Otimes( X, T, c_Int_Onumber__class_Onumber__of(
% 0.94/1.59 X, Y ) ) = Z, alpha46( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha17( X, Y, Z ), ! c_Int_Onumber__class_Onumber__of( X, Y ) =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.94/1.59 .
% 0.94/1.59 { c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.94/1.59 ), alpha17( X, Y, Z ) }.
% 0.94/1.59 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha17( X, Y, Z ) }.
% 0.94/1.59 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, T ) =
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha47( X, Y, Z, T ) }.
% 0.94/1.59 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, T ) =
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha18( X, Y, T ) }.
% 0.94/1.59 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.94/1.59 alpha47( X, Y, Z, T ), ! alpha18( X, Y, T ),
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, T ) =
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.94/1.59 { ! alpha47( X, Y, Z, T ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.94/1.59 ), Y ) = Z }.
% 0.94/1.59 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha47( X, Y, Z, T ) }.
% 0.94/1.59 { ! c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.59 T ), Y ) = Z, alpha47( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha18( X, Y, Z ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero( X
% 0.94/1.59 ) }.
% 0.94/1.59 { Y = c_Groups_Ozero__class_Ozero( X ), alpha18( X, Y, Z ) }.
% 0.94/1.59 { ! c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero
% 0.94/1.59 ( X ), alpha18( X, Y, Z ) }.
% 0.94/1.59 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, T, Z ) =
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, Y ), alpha48( X, Y, Z, T ) }.
% 0.94/1.59 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, T, Z ) =
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, Y ), alpha19( X, Y, Z ) }.
% 0.94/1.59 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.94/1.59 alpha48( X, Y, Z, T ), ! alpha19( X, Y, Z ),
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, T, Z ) =
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.94/1.59 { ! alpha48( X, Y, Z, T ), Z = c_Groups_Ozero__class_Ozero( X ), T =
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.94/1.59 ), Z ) }.
% 0.94/1.59 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha48( X, Y, Z, T ) }.
% 0.94/1.59 { ! T = c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of
% 0.94/1.59 ( X, Y ), Z ), alpha48( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha19( X, Y, Z ), ! Z = c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.94/1.59 ) }.
% 0.94/1.59 { Z = c_Groups_Ozero__class_Ozero( X ), alpha19( X, Y, Z ) }.
% 0.94/1.59 { ! c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero
% 0.94/1.59 ( X ), alpha19( X, Y, Z ) }.
% 0.94/1.59 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.94/1.59 X, Z ) ) = Y, alpha49( X, Y, Z, T ) }.
% 0.94/1.59 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.94/1.59 X, Z ) ) = Y, alpha20( X, Y, Z ) }.
% 0.94/1.59 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.94/1.59 alpha49( X, Y, Z, T ), ! alpha20( X, Y, Z ),
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.94/1.59 X, Z ) ) = Y }.
% 0.94/1.59 { ! alpha49( X, Y, Z, T ), c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), T = c_Groups_Otimes__class_Otimes( X, Y
% 0.94/1.59 , c_Int_Onumber__class_Onumber__of( X, Z ) ) }.
% 0.94/1.59 { ! c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero
% 0.94/1.59 ( X ), alpha49( X, Y, Z, T ) }.
% 0.94/1.59 { ! T = c_Groups_Otimes__class_Otimes( X, Y,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha49( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha20( X, Y, Z ), ! c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.94/1.59 .
% 0.94/1.59 { c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero( X
% 0.94/1.59 ), alpha20( X, Y, Z ) }.
% 0.94/1.59 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha20( X, Y, Z ) }.
% 0.94/1.59 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.59 c_Groups_Ominus__class_Ominus( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.94/1.59 Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X,
% 0.94/1.59 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, Y, T
% 0.94/1.59 ), Z ), Y ) }.
% 0.94/1.59 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.59 c_Groups_Ominus__class_Ominus( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.94/1.59 Y ), Z ) = c_Rings_Oinverse__class_Odivide( X,
% 0.94/1.59 c_Groups_Ominus__class_Ominus( X, T, c_Groups_Otimes__class_Otimes( X, Y
% 0.94/1.59 , Z ) ), Y ) }.
% 0.94/1.59 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ominus__class_Ominus( X,
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, U, Y ),
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, T, Z ) ) =
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.94/1.59 X, T, Y ) ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.94/1.59 { ! class_RealVector_Oreal__field( X ), c_Rings_Oinverse__class_Odivide( X
% 0.94/1.59 , c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, W,
% 0.94/1.59 U ), c_Groups_Otimes__class_Otimes( X, T, Z ) ), Y ) =
% 0.94/1.59 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W,
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X, U,
% 0.94/1.59 Z ), Y ) ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X, W,
% 0.94/1.59 T ), Y ), Z ) ) }.
% 0.94/1.59 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ) ) = Y }
% 0.94/1.59 .
% 0.94/1.59 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ), Y ) = Y
% 0.94/1.59 }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ),
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ),
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ),
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ),
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X,
% 0.94/1.59 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Z ) ) ), Y =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.94/1.59 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, c_NthRoot_Osqrt(
% 0.94/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) ) ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.94/1.59 c_Rings_Oinverse__class_Oinverse( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.94/1.59 ( X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.94/1.59 c_Rings_Oinverse__class_Oinverse( X, Y ) ),
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Oone__class_Oone( X ) )
% 0.94/1.59 }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.59 ! c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Oone__class_Oone( X )
% 0.94/1.59 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X )
% 0.94/1.59 , c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.94/1.59 ), c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless__eq(
% 0.94/1.59 X, Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless(
% 0.94/1.59 X, c_Groups_Oone__class_Oone( X ), Y ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.59 ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X
% 0.94/1.59 , Y ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), Y ),
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.94/1.59 ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.59 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Oone__class_Oone( X ) )
% 0.94/1.59 , c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.94/1.59 c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__semiring__1( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, T, Y ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.94/1.59 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.94/1.59 X ), W ), ! c_Groups_Oplus__class_Oplus( X, U, W ) =
% 0.94/1.59 c_Groups_Oone__class_Oone( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.59 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Z )
% 0.94/1.59 , c_Groups_Otimes__class_Otimes( X, W, T ) ), Y ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.94/1.59 ( X, Z, Y ) ), alpha50( X, Y, Z, T ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.94/1.59 ( X, Z, Y ) ), alpha62( X, Y, Z, T ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha50( X, Y, Z
% 0.94/1.59 , T ), ! alpha62( X, Y, Z, T ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.94/1.59 { ! alpha62( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), Y ), alpha74( X, Y, Z, T ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.94/1.59 , alpha62( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha74( X, Y, Z, T ), alpha62( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha74( X, Y, Z, T ), alpha86( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha74( X, Y, Z, T ), alpha21( X, Y, T ) }.
% 0.94/1.59 { ! alpha86( X, Y, Z, T ), ! alpha21( X, Y, T ), alpha74( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha86( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.59 , Z, c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.94/1.59 { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.59 alpha86( X, Y, Z, T ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Otimes__class_Otimes
% 0.94/1.59 ( X, T, Y ) ), alpha86( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha50( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless__eq
% 0.94/1.59 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ), Z ) }.
% 0.94/1.59 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.59 alpha50( X, Y, Z, T ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.94/1.59 , T, Y ), Z ), alpha50( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha21( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.59 , Z, c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.94/1.59 , alpha21( X, Y, Z ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.94/1.59 ) ), alpha21( X, Y, Z ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.94/1.59 , T, Z ), Y ), alpha51( X, Y, Z, T ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.94/1.59 , T, Z ), Y ), alpha63( X, Y, Z, T ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha51( X, Y, Z
% 0.94/1.59 , T ), ! alpha63( X, Y, Z, T ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, T, Z ), Y ) }.
% 0.94/1.59 { ! alpha63( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), Z ), alpha75( X, Y, Z, T ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.94/1.59 , alpha63( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha75( X, Y, Z, T ), alpha63( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha75( X, Y, Z, T ), alpha87( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha75( X, Y, Z, T ), alpha22( X, Y, Z ) }.
% 0.94/1.59 { ! alpha87( X, Y, Z, T ), ! alpha22( X, Y, Z ), alpha75( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha87( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.59 , c_Groups_Otimes__class_Otimes( X, Y, Z ), T ) }.
% 0.94/1.59 { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.59 alpha87( X, Y, Z, T ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.94/1.59 , Y, Z ), T ), alpha87( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha51( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless__eq
% 0.94/1.59 ( X, T, c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.94/1.59 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.94/1.59 alpha51( X, Y, Z, T ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes
% 0.94/1.59 ( X, Y, Z ) ), alpha51( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha22( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.59 , c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.94/1.59 , alpha22( X, Y, Z ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.59 , Y ), alpha22( X, Y, Z ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.59 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.94/1.59 ( X, Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, T, Y ), Z ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.59 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 0.94/1.59 , Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.59 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.94/1.59 , T, Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.59 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes( X
% 0.94/1.59 , Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.59 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes( X
% 0.94/1.59 , Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.59 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 0.94/1.59 , Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.59 X, Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.94/1.59 ( X, Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.59 X, Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Otimes__class_Otimes( X
% 0.94/1.59 , T, Y ) ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.59 X, Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.94/1.59 , T, Y ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Z, Y ), T ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.59 X, Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.94/1.59 , Y ), T ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.94/1.59 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.59 , c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.94/1.59 , T, Y ), c_Rings_Oinverse__class_Odivide( X, T, Z ) ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.59 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.59 , c_Groups_Otimes__class_Otimes( X, Z, Y ) ),
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.94/1.59 , T, Z ), c_Rings_Oinverse__class_Odivide( X, T, Y ) ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.94/1.59 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Oone__class_Oone( X ) ),
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.94/1.59 c_Power_Opower__class_Opower( X, Y, Z ) ), c_Power_Opower__class_Opower(
% 0.94/1.59 X, Y, Z ) ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.94/1.59 X, Y ) ) ), alpha52( X, Y, Z, T ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.94/1.59 X, Y ) ) ), alpha64( X, Y, Z, T ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 class_Int_Onumber( X ), ! alpha52( X, Y, Z, T ), ! alpha64( X, Y, Z, T )
% 0.94/1.59 , c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X
% 0.94/1.59 , Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.94/1.59 { ! alpha64( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.94/1.59 ) ), alpha76( X, Y, Z, T ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha64( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha76( X, Y, Z, T ), alpha64( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha76( X, Y, Z, T ), alpha88( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha76( X, Y, Z, T ), alpha23( X, Y, T ) }.
% 0.94/1.59 { ! alpha88( X, Y, Z, T ), ! alpha23( X, Y, T ), alpha76( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha88( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.94/1.59 ) ), c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes
% 0.94/1.59 ( X, T, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.94/1.59 { c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.94/1.59 ), c_Groups_Ozero__class_Ozero( X ) ), alpha88( X, Y, Z, T ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.59 T, c_Int_Onumber__class_Onumber__of( X, Y ) ) ), alpha88( X, Y, Z, T ) }
% 0.94/1.59 .
% 0.94/1.59 { ! alpha52( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.94/1.59 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X
% 0.94/1.59 , T, c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ) }.
% 0.94/1.59 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha52( X, Y, Z, T ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ), alpha52( X, Y, Z, T ) }
% 0.94/1.59 .
% 0.94/1.59 { ! alpha23( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.94/1.59 ) ), c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.94/1.59 ) ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.59 Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha23( X, Y, Z ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.94/1.59 , alpha23( X, Y, Z ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 0.94/1.59 ( X, Z, Y ) ), alpha53( X, Y, Z, T ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 0.94/1.59 ( X, Z, Y ) ), alpha65( X, Y, Z, T ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 class_Int_Onumber( X ), ! alpha53( X, Y, Z, T ), ! alpha65( X, Y, Z, T )
% 0.94/1.59 , c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.59 T ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.94/1.59 { ! alpha65( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), Y ), alpha77( X, Y, Z, T ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.94/1.59 , alpha65( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha77( X, Y, Z, T ), alpha65( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha77( X, Y, Z, T ), alpha89( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha77( X, Y, Z, T ), alpha24( X, Y, T ) }.
% 0.94/1.59 { ! alpha89( X, Y, Z, T ), ! alpha24( X, Y, T ), alpha77( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha89( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.94/1.59 ), Y ) ) }.
% 0.94/1.59 { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.59 alpha89( X, Y, Z, T ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, T ), Y ) ), alpha89( X, Y, Z, T ) }
% 0.94/1.59 .
% 0.94/1.59 { ! alpha53( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.94/1.59 ), Y ), Z ) }.
% 0.94/1.59 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.59 alpha53( X, Y, Z, T ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, T ), Y ), Z ), alpha53( X, Y, Z, T )
% 0.94/1.59 }.
% 0.94/1.59 { ! alpha24( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.94/1.59 ) ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.94/1.59 , alpha24( X, Y, Z ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.59 Z ), c_Groups_Ozero__class_Ozero( X ) ), alpha24( X, Y, Z ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha54( X, Y, Z, T ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha66( X, Y, Z, T ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 class_Int_Onumber( X ), ! alpha54( X, Y, Z, T ), ! alpha66( X, Y, Z, T )
% 0.94/1.59 , c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T
% 0.94/1.59 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.94/1.59 { ! alpha66( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), Z ), alpha78( X, Y, Z, T ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.94/1.59 , alpha66( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha78( X, Y, Z, T ), alpha66( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha78( X, Y, Z, T ), alpha90( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha78( X, Y, Z, T ), alpha25( X, Y, Z ) }.
% 0.94/1.59 { ! alpha90( X, Y, Z, T ), ! alpha25( X, Y, Z ), alpha78( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha90( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.94/1.59 ), Z ), T ) }.
% 0.94/1.59 { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.59 alpha90( X, Y, Z, T ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, Y ), Z ), T ), alpha90( X, Y, Z, T )
% 0.94/1.59 }.
% 0.94/1.59 { ! alpha54( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 T, c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X
% 0.94/1.59 , Y ), Z ) ) }.
% 0.94/1.59 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.94/1.59 alpha54( X, Y, Z, T ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, Y ), Z ) ), alpha54( X, Y, Z, T ) }
% 0.94/1.59 .
% 0.94/1.59 { ! alpha25( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.94/1.59 ) ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.94/1.59 , alpha25( X, Y, Z ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha25( X, Y, Z ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.94/1.59 X, Z ) ), Y ), alpha55( X, Y, Z, T ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.94/1.59 X, Z ) ), Y ), alpha67( X, Y, Z, T ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 class_Int_Onumber( X ), ! alpha55( X, Y, Z, T ), ! alpha67( X, Y, Z, T )
% 0.94/1.59 , c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T
% 0.94/1.59 , c_Int_Onumber__class_Onumber__of( X, Z ) ), Y ) }.
% 0.94/1.59 { ! alpha67( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 0.94/1.59 ) ), alpha79( X, Y, Z, T ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha67( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha79( X, Y, Z, T ), alpha67( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha79( X, Y, Z, T ), alpha91( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha79( X, Y, Z, T ), alpha26( X, Y, Z ) }.
% 0.94/1.59 { ! alpha91( X, Y, Z, T ), ! alpha26( X, Y, Z ), alpha79( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha91( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.94/1.59 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X
% 0.94/1.59 , Y, c_Int_Onumber__class_Onumber__of( X, Z ) ), T ) }.
% 0.94/1.59 { c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.94/1.59 ), c_Groups_Ozero__class_Ozero( X ) ), alpha91( X, Y, Z, T ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, Z ) ), T ), alpha91( X, Y, Z, T ) }
% 0.94/1.59 .
% 0.94/1.59 { ! alpha55( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 0.94/1.59 ) ), c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes
% 0.94/1.59 ( X, Y, c_Int_Onumber__class_Onumber__of( X, Z ) ) ) }.
% 0.94/1.59 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha55( X, Y, Z, T ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.59 Y, c_Int_Onumber__class_Onumber__of( X, Z ) ) ), alpha55( X, Y, Z, T ) }
% 0.94/1.59 .
% 0.94/1.59 { ! alpha26( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.94/1.59 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.59 , Y ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.59 Z ), c_Groups_Ozero__class_Ozero( X ) ), alpha26( X, Y, Z ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.94/1.59 , alpha26( X, Y, Z ) }.
% 0.94/1.59 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.59 c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.94/1.59 c_Groups_Oone__class_Oone( X ) ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.94/1.59 ) ) = c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( Y ) ) }.
% 0.94/1.59 { ! class_Groups_Omonoid__mult( X ), c_Power_Opower__class_Opower( X, Y,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OBit1(
% 0.94/1.59 c_Int_OPls ) ) ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Y, Y ), Y ) }.
% 0.94/1.59 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.59 c_RealVector_Onorm__class_Onorm( X, Z ), c_Groups_Otimes__class_Otimes(
% 0.94/1.59 tc_RealDef_Oreal, Y, c_RealVector_Onorm__class_Onorm( X, T ) ) ), Z =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.59 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt(
% 0.94/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) ) ) }.
% 0.94/1.59 { ! class_Rings_Olinordered__semiring__1__strict( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.59 ( X, T, Y ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), U ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), W
% 0.94/1.59 ), ! c_Groups_Oplus__class_Oplus( X, U, W ) = c_Groups_Oone__class_Oone
% 0.94/1.59 ( X ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.94/1.59 X, W, T ) ), Y ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.94/1.59 X, Y ) ) ), alpha56( X, Y, Z, T ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.94/1.59 X, Y ) ) ), alpha68( X, Y, Z, T ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 class_Int_Onumber( X ), ! alpha56( X, Y, Z, T ), ! alpha68( X, Y, Z, T )
% 0.94/1.59 , c_Orderings_Oord__class_Oless__eq( X, T,
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.94/1.59 X, Y ) ) ) }.
% 0.94/1.59 { ! alpha68( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.94/1.59 ) ), alpha80( X, Y, Z, T ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha68( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha80( X, Y, Z, T ), alpha68( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha80( X, Y, Z, T ), alpha92( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha80( X, Y, Z, T ), alpha27( X, Y, T ) }.
% 0.94/1.59 { ! alpha92( X, Y, Z, T ), ! alpha27( X, Y, T ), alpha80( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha92( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.94/1.59 ) ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, T, c_Int_Onumber__class_Onumber__of( X
% 0.94/1.59 , Y ) ) ) }.
% 0.94/1.59 { c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.94/1.59 ), c_Groups_Ozero__class_Ozero( X ) ), alpha92( X, Y, Z, T ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Otimes__class_Otimes
% 0.94/1.59 ( X, T, c_Int_Onumber__class_Onumber__of( X, Y ) ) ), alpha92( X, Y, Z, T
% 0.94/1.59 ) }.
% 0.94/1.59 { ! alpha56( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.94/1.59 ) ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes
% 0.94/1.59 ( X, T, c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ) }.
% 0.94/1.59 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha56( X, Y, Z, T ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.94/1.59 , T, c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ), alpha56( X, Y, Z, T
% 0.94/1.59 ) }.
% 0.94/1.59 { ! alpha27( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.94/1.59 ) ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.59 Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha27( X, Y, Z ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.94/1.59 ) ), alpha27( X, Y, Z ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 0.94/1.59 ( X, Z, Y ) ), alpha57( X, Y, Z, T ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 0.94/1.59 ( X, Z, Y ) ), alpha69( X, Y, Z, T ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 class_Int_Onumber( X ), ! alpha57( X, Y, Z, T ), ! alpha69( X, Y, Z, T )
% 0.94/1.59 , c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of
% 0.94/1.59 ( X, T ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.94/1.59 { ! alpha69( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), Y ), alpha81( X, Y, Z, T ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.94/1.59 , alpha69( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha81( X, Y, Z, T ), alpha69( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha81( X, Y, Z, T ), alpha93( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha81( X, Y, Z, T ), alpha28( X, Y, T ) }.
% 0.94/1.59 { ! alpha93( X, Y, Z, T ), ! alpha28( X, Y, T ), alpha81( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha93( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.59 , Z, c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of(
% 0.94/1.59 X, T ), Y ) ) }.
% 0.94/1.59 { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.59 alpha93( X, Y, Z, T ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Otimes__class_Otimes
% 0.94/1.59 ( X, c_Int_Onumber__class_Onumber__of( X, T ), Y ) ), alpha93( X, Y, Z, T
% 0.94/1.59 ) }.
% 0.94/1.59 { ! alpha57( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless__eq
% 0.94/1.59 ( X, c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of(
% 0.94/1.59 X, T ), Y ), Z ) }.
% 0.94/1.59 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.59 alpha57( X, Y, Z, T ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.94/1.59 , c_Int_Onumber__class_Onumber__of( X, T ), Y ), Z ), alpha57( X, Y, Z, T
% 0.94/1.59 ) }.
% 0.94/1.59 { ! alpha28( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.59 , c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero(
% 0.94/1.59 X ) ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.94/1.59 , alpha28( X, Y, Z ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of
% 0.94/1.59 ( X, Z ), c_Groups_Ozero__class_Ozero( X ) ), alpha28( X, Y, Z ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha58( X, Y, Z, T ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha70( X, Y, Z, T ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 class_Int_Onumber( X ), ! alpha58( X, Y, Z, T ), ! alpha70( X, Y, Z, T )
% 0.94/1.59 , c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide(
% 0.94/1.59 X, T, Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.94/1.59 { ! alpha70( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), Z ), alpha82( X, Y, Z, T ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.94/1.59 , alpha70( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha82( X, Y, Z, T ), alpha70( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha82( X, Y, Z, T ), alpha94( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha82( X, Y, Z, T ), alpha29( X, Y, Z ) }.
% 0.94/1.59 { ! alpha94( X, Y, Z, T ), ! alpha29( X, Y, Z ), alpha82( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha94( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.59 , c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.59 Y ), Z ), T ) }.
% 0.94/1.59 { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.59 alpha94( X, Y, Z, T ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.94/1.59 , c_Int_Onumber__class_Onumber__of( X, Y ), Z ), T ), alpha94( X, Y, Z, T
% 0.94/1.59 ) }.
% 0.94/1.59 { ! alpha58( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless__eq
% 0.94/1.59 ( X, T, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, Y ), Z ) ) }.
% 0.94/1.59 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.94/1.59 alpha58( X, Y, Z, T ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes
% 0.94/1.59 ( X, c_Int_Onumber__class_Onumber__of( X, Y ), Z ) ), alpha58( X, Y, Z, T
% 0.94/1.59 ) }.
% 0.94/1.59 { ! alpha29( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.59 , c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.59 Y ) ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.94/1.59 , alpha29( X, Y, Z ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.59 , c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha29( X, Y, Z ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.94/1.59 X, Z ) ), Y ), alpha59( X, Y, Z, T ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.94/1.59 X, Z ) ), Y ), alpha71( X, Y, Z, T ) }.
% 0.94/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.59 class_Int_Onumber( X ), ! alpha59( X, Y, Z, T ), ! alpha71( X, Y, Z, T )
% 0.94/1.59 , c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide(
% 0.94/1.59 X, T, c_Int_Onumber__class_Onumber__of( X, Z ) ), Y ) }.
% 0.94/1.59 { ! alpha71( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 0.94/1.59 ) ), alpha83( X, Y, Z, T ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha71( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha83( X, Y, Z, T ), alpha71( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha83( X, Y, Z, T ), alpha95( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha83( X, Y, Z, T ), alpha30( X, Y, Z ) }.
% 0.94/1.59 { ! alpha95( X, Y, Z, T ), ! alpha30( X, Y, Z ), alpha83( X, Y, Z, T ) }.
% 0.94/1.59 { ! alpha95( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.94/1.59 ) ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes
% 0.94/1.59 ( X, Y, c_Int_Onumber__class_Onumber__of( X, Z ) ), T ) }.
% 0.94/1.59 { c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.94/1.59 ), c_Groups_Ozero__class_Ozero( X ) ), alpha95( X, Y, Z, T ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.94/1.59 , Y, c_Int_Onumber__class_Onumber__of( X, Z ) ), T ), alpha95( X, Y, Z, T
% 0.94/1.59 ) }.
% 0.94/1.59 { ! alpha59( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 0.94/1.59 ) ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Y, c_Int_Onumber__class_Onumber__of( X
% 0.94/1.59 , Z ) ) ) }.
% 0.94/1.59 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha59( X, Y, Z, T ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes
% 0.94/1.59 ( X, Y, c_Int_Onumber__class_Onumber__of( X, Z ) ) ), alpha59( X, Y, Z, T
% 0.94/1.59 ) }.
% 0.94/1.59 { ! alpha30( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.94/1.59 ) ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.94/1.59 X ), Y ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.59 Z ), c_Groups_Ozero__class_Ozero( X ) ), alpha30( X, Y, Z ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.59 , Y ), alpha30( X, Y, Z ) }.
% 0.94/1.59 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.94/1.59 ) ) ) ) = c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 0.94/1.59 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.94/1.59 ) ) ), Y ) = c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 0.94/1.59 { ! class_Groups_Omonoid__mult( X ), c_Power_Opower__class_Opower( X, Y,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.59 c_Int_OPls ) ) ) ) = c_Groups_Otimes__class_Otimes( X, Y, Y ) }.
% 0.94/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.59 Y, Y ) = c_Power_Opower__class_Opower( X, Y,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.59 c_Int_OPls ) ) ) ) }.
% 0.94/1.59 { ! class_Power_Opower( X ), ! Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat
% 0.94/1.59 ), c_Power_Opower__class_Opower( X, Y, Z ) = c_Groups_Oone__class_Oone(
% 0.94/1.59 X ) }.
% 0.94/1.59 { ! class_Power_Opower( X ), Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.94/1.59 , c_Power_Opower__class_Opower( X, Y, Z ) = c_Groups_Otimes__class_Otimes
% 0.94/1.59 ( X, Y, c_Power_Opower__class_Opower( X, Y, c_Groups_Ominus__class_Ominus
% 0.94/1.59 ( tc_Nat_Onat, Z, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) ) }.
% 0.94/1.59 { ! class_Groups_Omonoid__mult( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.59 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, c_Power_Opower__class_Opower( X, Z,
% 0.94/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, c_Groups_Oone__class_Oone
% 0.94/1.59 ( tc_Nat_Onat ) ) ), Z ) = c_Power_Opower__class_Opower( X, Z, Y ) }.
% 0.94/1.59 { ! Z = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.94/1.59 c_Int_OBit1( c_Int_OPls ) ) ), X ) ), c_Groups_Otimes__class_Otimes(
% 0.94/1.59 tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 0.94/1.59 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ), Z ) =
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) }.
% 0.94/1.59 { ! c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.94/1.59 c_Int_OBit1( c_Int_OPls ) ) ), Z ) = c_Rings_Oinverse__class_Odivide(
% 0.94/1.59 tc_RealDef_Oreal, Y, X ), Z = c_Rings_Oinverse__class_Odivide(
% 0.94/1.59 tc_RealDef_Oreal, Y, c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.94/1.59 c_Int_OBit1( c_Int_OPls ) ) ), X ) ) }.
% 0.94/1.59 { ! class_Groups_Omonoid__mult( X ), ! class_Int_Onumber( X ),
% 0.94/1.59 c_Power_Opower__class_Opower( X, c_Int_Onumber__class_Onumber__of( X, Y )
% 0.94/1.59 , c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1
% 0.94/1.59 ( c_Int_OPls ) ) ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, Y ),
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.94/1.59 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.94/1.59 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.94/1.59 c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.59 c_Int_OPls ) ) ) ) ) = c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.94/1.59 c_Int_OBit1( c_Int_OPls ) ) ), X ), c_Int_Onumber__class_Onumber__of(
% 0.94/1.59 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.94/1.59 { ! class_Int_Onumber__ring( X ), c_Power_Opower__class_Opower( X,
% 0.94/1.59 c_Groups_Oplus__class_Oplus( X, Z, Y ), c_Int_Onumber__class_Onumber__of
% 0.94/1.59 ( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) =
% 0.94/1.59 c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X,
% 0.94/1.59 c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.94/1.59 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.94/1.59 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.94/1.59 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.94/1.59 ) ) ), Z ), Y ) ) }.
% 0.94/1.59 { c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.59 c_Int_OPls ) ) ) ) = c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.59 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.59 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.59 c_Int_OPls ) ) ) ) ), c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.94/1.59 c_Int_OBit1( c_Int_OPls ) ) ), Y ), X ) ) }.
% 0.94/1.59 { c_Power_Opower__class_Opower( tc_RealDef_Oreal, c_NthRoot_Osqrt(
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.59 c_Power_Opower__class_Opower( tc_RealDef_Oreal, T,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.59 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Z,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.59 c_Int_OPls ) ) ) ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.59 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.59 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.59 c_Int_OPls ) ) ) ) ) ) ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 0.94/1.59 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) =
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.59 c_Power_Opower__class_Opower( tc_RealDef_Oreal, T,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.59 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Z,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.59 c_Int_OPls ) ) ) ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.59 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.59 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.59 c_Int_OPls ) ) ) ) ) ) }.
% 0.94/1.59 { ! class_Int_Onumber__ring( X ), c_Power_Opower__class_Opower( X,
% 0.94/1.59 c_Groups_Ominus__class_Ominus( X, Z, Y ),
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.59 c_Int_OPls ) ) ) ) = c_Groups_Ominus__class_Ominus( X,
% 0.94/1.59 c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.59 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.59 c_Int_OPls ) ) ) ) ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.59 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ), Z ), Y ) ) }.
% 0.94/1.59 { c_Transcendental_Oarctan( X ) = c_Groups_Otimes__class_Otimes(
% 0.94/1.59 tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 0.94/1.59 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ), c_Transcendental_Oarctan(
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X,
% 0.94/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oone__class_Oone
% 0.94/1.59 ( tc_RealDef_Oreal ), c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus(
% 0.94/1.59 tc_RealDef_Oreal, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ),
% 0.94/1.59 c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.59 c_Int_OPls ) ) ) ) ) ) ) ) ) ) }.
% 0.94/1.59 { c_Complex_OIm( c_Rings_Oinverse__class_Oinverse( tc_Complex_Ocomplex, X )
% 0.94/1.59 ) = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, c_Complex_OIm( X ) ),
% 0.94/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.59 c_Power_Opower__class_Opower( tc_RealDef_Oreal, c_Complex_ORe( X ),
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.59 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.94/1.59 c_Complex_OIm( X ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 0.94/1.59 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ),
% 0.94/1.59 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ),
% 0.94/1.59 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.94/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Transcendental_Oarctan(
% 0.94/1.59 X ), c_Transcendental_Oarctan( Y ) ) = c_Transcendental_Oarctan(
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X, Y ),
% 0.94/1.59 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) ) ) }.
% 0.94/1.59 { ! class_Groups_Omonoid__mult( X ), c_Power_Opower__class_Opower( X, T,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) ) =
% 0.94/1.59 c_Power_Opower__class_Opower( X, c_Power_Opower__class_Opower( X, T, Z )
% 0.94/1.59 , Y ) }.
% 0.94/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Power_Opower__class_Opower( X,
% 0.94/1.59 c_Power_Opower__class_Opower( X, T, Z ), Y ) =
% 0.94/1.59 c_Power_Opower__class_Opower( X, T, c_Groups_Otimes__class_Otimes(
% 0.94/1.59 tc_Nat_Onat, Z, Y ) ) }.
% 0.94/1.59 { c_Power_Opower__class_Opower( tc_Int_Oint, c_Power_Opower__class_Opower(
% 0.94/1.59 tc_Int_Oint, Z, Y ), X ) = c_Power_Opower__class_Opower( tc_Int_Oint, Z,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.59 { c_NthRoot_Osqrt( c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, X )
% 0.94/1.59 ) = c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, c_NthRoot_Osqrt
% 0.94/1.59 ( X ) ) }.
% 0.94/1.59 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.59 tc_Nat_Onat, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.59 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z,
% 0.94/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) =
% 0.94/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.94/1.59 tc_Nat_Onat, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) )
% 0.94/1.59 }.
% 0.94/1.59 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.59 tc_Nat_Onat ), X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.59 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.59 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.59 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.59 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.59 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ), Y = X, Z =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.59 { ! Y = X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 0.94/1.59 { ! Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 0.94/1.59 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ), Z = X, Y =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.59 { ! Z = X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 0.94/1.59 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 0.94/1.59 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Int_OPls, X ) = c_Int_OPls
% 0.94/1.59 }.
% 0.94/1.59 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Int_OBit0( Y ), X ) =
% 0.94/1.59 c_Int_OBit0( c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.94/1.59 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, X ) ) }.
% 0.94/1.59 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, X ) ) ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, Z ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ) ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ),
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, T ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ) ) }.
% 0.94/1.59 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z,
% 0.94/1.59 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) =
% 0.94/1.59 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 0.94/1.59 tc_Int_Oint, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ) )
% 0.94/1.59 }.
% 0.94/1.59 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.94/1.59 tc_Int_Oint, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.94/1.59 { c_Groups_Otimes__class_Otimes( tc_Int_Oint,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) =
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.94/1.59 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.94/1.59 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.59 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z,
% 0.94/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) =
% 0.94/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 0.94/1.59 ( tc_Nat_Onat, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X )
% 0.94/1.59 ) }.
% 0.94/1.59 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Ominus__class_Ominus
% 0.94/1.59 ( tc_Int_Oint, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Int_Oint,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.94/1.59 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z,
% 0.94/1.59 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ) ) =
% 0.94/1.59 c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Groups_Otimes__class_Otimes
% 0.94/1.59 ( tc_Int_Oint, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X )
% 0.94/1.59 ) }.
% 0.94/1.59 { ! class_Rings_Odivision__ring__inverse__zero( X ),
% 0.94/1.59 c_Rings_Oinverse__class_Oinverse( X, c_Groups_Ouminus__class_Ouminus( X,
% 0.94/1.59 Y ) ) = c_Groups_Ouminus__class_Ouminus( X,
% 0.94/1.59 c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.94/1.59 { ! class_Rings_Oring( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.94/1.59 Y ) ) }.
% 0.94/1.59 { ! class_Rings_Oring( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.94/1.59 , Y ) }.
% 0.94/1.59 { ! class_Rings_Oring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.59 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) =
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.94/1.59 Y ) ) }.
% 0.94/1.59 { ! class_Rings_Oring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.59 c_Groups_Ouminus__class_Ouminus( X, Z ), c_Groups_Ouminus__class_Ouminus
% 0.94/1.59 ( X, Y ) ) = c_Groups_Otimes__class_Otimes( X, Z, Y ) }.
% 0.94/1.59 { ! class_Rings_Oidom( X ), ! c_Groups_Otimes__class_Otimes( X, Z, Z ) =
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Y, Y ), Z = Y, Z =
% 0.94/1.59 c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.94/1.59 { ! class_Rings_Oidom( X ), ! Z = Y, c_Groups_Otimes__class_Otimes( X, Z, Z
% 0.94/1.59 ) = c_Groups_Otimes__class_Otimes( X, Y, Y ) }.
% 0.94/1.59 { ! class_Rings_Oidom( X ), ! Z = c_Groups_Ouminus__class_Ouminus( X, Y ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Z, Z ) = c_Groups_Otimes__class_Otimes
% 0.94/1.59 ( X, Y, Y ) }.
% 0.94/1.59 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.59 c_Groups_Ouminus__class_Ouminus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.59 Z ) ), Y ) = c_Groups_Otimes__class_Otimes( X,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, c_Groups_Ouminus__class_Ouminus(
% 0.94/1.59 tc_Int_Oint, Z ) ), Y ) }.
% 0.94/1.59 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 0.94/1.59 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 0.94/1.59 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.94/1.59 Z, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.59 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) =
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y ) }.
% 0.94/1.59 { c_Rings_Oinverse__class_Odivide( tc_Complex_Ocomplex, Y, X ) =
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_Complex_Ocomplex, Y,
% 0.94/1.59 c_Rings_Oinverse__class_Oinverse( tc_Complex_Ocomplex, X ) ) }.
% 0.94/1.59 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Otimes__class_Otimes
% 0.94/1.59 ( tc_Int_Oint, Z, Y ), X ) = c_Groups_Otimes__class_Otimes( tc_Int_Oint,
% 0.94/1.59 Z, c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.94/1.59 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.94/1.59 Y ) ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes
% 0.94/1.59 ( X, Z, Y ) ) }.
% 0.94/1.59 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.94/1.59 Y ) ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes
% 0.94/1.59 ( X, Z, Y ) ) }.
% 0.94/1.59 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.94/1.59 , Y ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes
% 0.94/1.59 ( X, Z, Y ) ) }.
% 0.94/1.59 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.94/1.59 c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.94/1.59 , Y ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes
% 0.94/1.59 ( X, Z, Y ) ) }.
% 0.94/1.59 { c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.94/1.59 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, c_Groups_Oone__class_Oone
% 0.94/1.59 ( tc_Int_Oint ) ) = X }.
% 0.94/1.59 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Oone__class_Oone(
% 0.94/1.59 tc_Int_Oint ), X ) = X }.
% 0.94/1.59 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.94/1.59 c_Groups_Oone__class_Oone( tc_Nat_Onat ), Y = c_Groups_Oone__class_Oone(
% 0.94/1.59 tc_Nat_Onat ) }.
% 0.94/1.59 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.94/1.59 c_Groups_Oone__class_Oone( tc_Nat_Onat ), X = c_Groups_Oone__class_Oone(
% 0.94/1.59 tc_Nat_Onat ) }.
% 0.94/1.59 { ! Y = c_Groups_Oone__class_Oone( tc_Nat_Onat ), ! X =
% 0.94/1.59 c_Groups_Oone__class_Oone( tc_Nat_Onat ), c_Groups_Otimes__class_Otimes(
% 0.94/1.59 tc_Nat_Onat, Y, X ) = c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.94/1.59 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, c_Groups_Oone__class_Oone
% 0.94/1.59 ( tc_Nat_Onat ) ) = X }.
% 0.94/1.59 { ! c_Groups_Oone__class_Oone( tc_Nat_Onat ) =
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ), Y =
% 0.94/1.59 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.94/1.59 { ! c_Groups_Oone__class_Oone( tc_Nat_Onat ) =
% 0.94/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ), X =
% 0.94/1.59 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.94/1.59 { ! Y = c_Groups_Oone__class_Oone( tc_Nat_Onat ), ! X =
% 0.94/1.59 c_Groups_Oone__class_Oone( tc_Nat_Onat ), c_Groups_Oone__class_Oone(
% 0.94/1.59 tc_Nat_Onat ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) }.
% 0.94/1.59 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Oone__class_Oone(
% 0.94/1.59 tc_Nat_Onat ), X ) = X }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.59 c_Transcendental_Oarctan( Y ), c_Transcendental_Oarctan( X ) ) }.
% 0.94/1.59 { c_Transcendental_Oarctan( c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal )
% 0.94/1.59 ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.94/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_Transcendental_Oarctan
% 0.94/1.59 ( Y ), c_Transcendental_Oarctan( X ) ) }.
% 0.94/1.59 { c_Transcendental_Oarctan( c_Groups_Ouminus__class_Ouminus(
% 0.94/1.59 tc_RealDef_Oreal, X ) ) = c_Groups_Ouminus__class_Ouminus(
% 0.94/1.59 tc_RealDef_Oreal, c_Transcendental_Oarctan( X ) ) }.
% 0.94/1.59 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.94/1.59 c_Groups_Oabs__class_Oabs( X, c_Groups_Ouminus__class_Ouminus( X, Y ) ) =
% 0.94/1.59 c_Groups_Oabs__class_Oabs( X, Y ) }.
% 0.94/1.59 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.94/1.59 c_Groups_Ouminus__class_Ouminus( X, Y ) = Y, Y =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.59 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.94/1.59 = Y }.
% 0.94/1.59 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ouminus__class_Ouminus( X, Y
% 0.94/1.59 ) = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X
% 0.94/1.59 ) }.
% 0.94/1.59 { ! class_Groups_Ogroup__add( X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.59 c_Groups_Ouminus__class_Ouminus( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.94/1.59 ) }.
% 0.94/1.59 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.94/1.59 c_Groups_Ouminus__class_Ouminus( X, Y ), Y = c_Groups_Ozero__class_Ozero
% 0.94/1.59 ( X ) }.
% 0.94/1.59 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ouminus__class_Ouminus( X
% 0.94/1.59 , Y ) }.
% 0.94/1.59 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ozero__class_Ozero( X ) =
% 0.94/1.59 c_Groups_Ouminus__class_Ouminus( X, Y ), c_Groups_Ozero__class_Ozero( X )
% 0.94/1.59 = Y }.
% 0.94/1.59 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ozero__class_Ozero( X ) = Y,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) = c_Groups_Ouminus__class_Ouminus( X, Y
% 0.94/1.59 ) }.
% 0.94/1.59 { ! class_Groups_Ogroup__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.94/1.59 c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.59 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ouminus__class_Ouminus
% 0.94/1.59 ( X, Y ) ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.94/1.59 c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.94/1.59 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ouminus__class_Ouminus
% 0.94/1.59 ( X, Z ) ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.94/1.59 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.94/1.59 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.94/1.59 , Z ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.59 c_Groups_Ouminus__class_Ouminus( X, Y ), Z ) }.
% 0.94/1.59 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.94/1.59 , Y ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.59 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) }.
% 0.94/1.59 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.94/1.59 , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.94/1.59 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, Y, Z ),
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.94/1.59 , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.94/1.59 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.94/1.59 , Y ), c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.94/1.59 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.94/1.59 Y ) ), c_Orderings_Oord__class_Oless( X, Y,
% 0.94/1.59 c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.94/1.59 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ouminus__class_Ouminus( X,
% 0.94/1.59 Z ) ), c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.59 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.94/1.59 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.94/1.59 , Y ), c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus
% 0.94/1.59 ( X, Y ), Z ) }.
% 0.94/1.59 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.94/1.59 , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus
% 0.94/1.59 ( X, Z ), Y ) }.
% 0.94/1.59 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.94/1.59 , c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.94/1.59 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.59 c_Orderings_Oord__class_Oless( X, Y, Z ), c_Orderings_Oord__class_Oless(
% 0.94/1.59 X, c_Groups_Ouminus__class_Ouminus( X, Z ),
% 0.94/1.59 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.94/1.59 { ! class_Groups_Oab__group__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.94/1.59 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) =
% 0.94/1.59 c_Groups_Ominus__class_Ominus( X, Y, Z ) }.
% 0.94/1.59 { ! class_RealVector_Oreal__normed__field( X ),
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X, Z
% 0.94/1.59 ), Y ) = c_Groups_Ouminus__class_Ouminus( X,
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.94/1.59 { ! class_Fields_Ofield__inverse__zero( X ),
% 0.94/1.59 c_Groups_Ouminus__class_Ouminus( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.94/1.59 , Y ) ) = c_Rings_Oinverse__class_Odivide( X, Z,
% 0.94/1.59 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.94/1.59 { ! class_Fields_Ofield__inverse__zero( X ),
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X, Z
% 0.94/1.59 ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) =
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.94/1.59 { ! class_Rings_Odivision__ring( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X, Z
% 0.94/1.59 ), Y ) }.
% 0.94/1.59 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ouminus__class_Ouminus( X, Z
% 0.94/1.59 ) = c_Groups_Ouminus__class_Ouminus( X, Y ), Z = Y }.
% 0.94/1.59 { ! class_Groups_Ogroup__add( X ), ! Z = Y, c_Groups_Ouminus__class_Ouminus
% 0.94/1.59 ( X, Z ) = c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.94/1.59 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ouminus__class_Ouminus( X, Z
% 0.94/1.59 ) = Y, c_Groups_Ouminus__class_Ouminus( X, Y ) = Z }.
% 0.94/1.59 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ouminus__class_Ouminus( X, Y
% 0.94/1.59 ) = Z, c_Groups_Ouminus__class_Ouminus( X, Z ) = Y }.
% 0.94/1.59 { ! class_Groups_Ogroup__add( X ), ! Z = c_Groups_Ouminus__class_Ouminus( X
% 0.94/1.59 , Y ), Y = c_Groups_Ouminus__class_Ouminus( X, Z ) }.
% 0.94/1.59 { ! class_Groups_Ogroup__add( X ), ! Y = c_Groups_Ouminus__class_Ouminus( X
% 0.94/1.59 , Z ), Z = c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.94/1.59 { ! class_Groups_Ogroup__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.94/1.59 c_Groups_Ouminus__class_Ouminus( X, Y ) ) = Y }.
% 0.94/1.59 { ! class_Int_Onumber__ring( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( X, c_Groups_Ouminus__class_Ouminus(
% 0.94/1.59 tc_Int_Oint, Y ) ) }.
% 0.94/1.59 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.59 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) =
% 0.94/1.59 c_Groups_Ouminus__class_Ouminus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.59 Y ) ) }.
% 0.94/1.59 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.94/1.59 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ouminus__class_Ouminus( X, Y
% 0.94/1.59 ) ) = c_RealVector_Onorm__class_Onorm( X, Y ) }.
% 0.94/1.59 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.59 c_Groups_Ouminus__class_Ouminus( X, Z ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.59 Z, Y ) ) = Y }.
% 0.94/1.59 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X, Z,
% 0.94/1.59 c_Groups_Oplus__class_Oplus( X, c_Groups_Ouminus__class_Ouminus( X, Z ),
% 0.94/1.59 Y ) ) = Y }.
% 0.94/1.59 { ! class_Groups_Ogroup__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.94/1.59 c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X
% 0.94/1.59 , c_Groups_Ouminus__class_Ouminus( X, Y ),
% 0.94/1.59 c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.94/1.59 { ! class_Groups_Oab__group__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.94/1.59 c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X
% 0.94/1.59 , c_Groups_Ouminus__class_Ouminus( X, Z ),
% 0.94/1.59 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.94/1.59 { c_NthRoot_Osqrt( c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) )
% 0.94/1.59 = c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, c_NthRoot_Osqrt( X
% 0.94/1.59 ) ) }.
% 0.94/1.59 { ! class_Orderings_Opreorder( X ), class_Orderings_Opreorder( tc_fun( Y, X
% 0.94/1.59 ) ) }.
% 0.94/1.59 { ! class_Orderings_Oorder( X ), class_Orderings_Oorder( tc_fun( Y, X ) ) }
% 0.94/1.59 .
% 0.94/1.59 { ! class_Orderings_Oord( X ), class_Orderings_Oord( tc_fun( Y, X ) ) }.
% 0.94/1.59 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.94/1.59 tc_Int_Oint ) }.
% 0.94/1.59 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_Int_Oint ) }.
% 0.94/1.59 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Int_Oint ) }.
% 0.94/1.59 { class_Rings_Olinordered__comm__semiring__strict( tc_Int_Oint ) }.
% 0.94/1.59 { class_Rings_Olinordered__semiring__1__strict( tc_Int_Oint ) }.
% 0.94/1.59 { class_Rings_Olinordered__semiring__strict( tc_Int_Oint ) }.
% 0.94/1.59 { class_Groups_Oordered__ab__semigroup__add( tc_Int_Oint ) }.
% 0.94/1.59 { class_Groups_Oordered__ab__group__add__abs( tc_Int_Oint ) }.
% 0.94/1.59 { class_Groups_Oordered__comm__monoid__add( tc_Int_Oint ) }.
% 0.94/1.59 { class_Groups_Olinordered__ab__group__add( tc_Int_Oint ) }.
% 0.94/1.59 { class_Groups_Ocancel__ab__semigroup__add( tc_Int_Oint ) }.
% 0.94/1.59 { class_Rings_Oring__1__no__zero__divisors( tc_Int_Oint ) }.
% 0.94/1.59 { class_Rings_Oordered__cancel__semiring( tc_Int_Oint ) }.
% 0.94/1.59 { class_Rings_Olinordered__ring__strict( tc_Int_Oint ) }.
% 0.94/1.59 { class_Rings_Oring__no__zero__divisors( tc_Int_Oint ) }.
% 0.94/1.59 { class_Rings_Oordered__comm__semiring( tc_Int_Oint ) }.
% 0.94/1.59 { class_Rings_Olinordered__semiring__1( tc_Int_Oint ) }.
% 0.94/1.59 { class_Groups_Oordered__ab__group__add( tc_Int_Oint ) }.
% 0.94/1.59 { class_Groups_Ocancel__semigroup__add( tc_Int_Oint ) }.
% 0.94/1.59 { class_Rings_Olinordered__semiring( tc_Int_Oint ) }.
% 0.94/1.59 { class_Rings_Olinordered__semidom( tc_Int_Oint ) }.
% 0.94/1.59 { class_Groups_Oab__semigroup__mult( tc_Int_Oint ) }.
% 0.94/1.59 { class_Groups_Ocomm__monoid__mult( tc_Int_Oint ) }.
% 0.94/1.59 { class_Groups_Oab__semigroup__add( tc_Int_Oint ) }.
% 0.94/1.59 { class_Rings_Oordered__semiring( tc_Int_Oint ) }.
% 0.94/1.59 { class_Rings_Oordered__ring__abs( tc_Int_Oint ) }.
% 0.94/1.59 { class_Rings_Ono__zero__divisors( tc_Int_Oint ) }.
% 0.94/1.59 { class_Groups_Ocomm__monoid__add( tc_Int_Oint ) }.
% 0.94/1.59 { class_Rings_Olinordered__ring( tc_Int_Oint ) }.
% 0.94/1.59 { class_Rings_Olinordered__idom( tc_Int_Oint ) }.
% 0.94/1.59 { class_Rings_Ocomm__semiring__1( tc_Int_Oint ) }.
% 0.94/1.59 { class_Rings_Ocomm__semiring( tc_Int_Oint ) }.
% 0.94/1.59 { class_Groups_Oab__group__add( tc_Int_Oint ) }.
% 0.94/1.59 { class_Rings_Ozero__neq__one( tc_Int_Oint ) }.
% 0.94/1.59 { class_Rings_Oordered__ring( tc_Int_Oint ) }.
% 0.94/1.59 { class_Orderings_Opreorder( tc_Int_Oint ) }.
% 0.94/1.59 { class_Orderings_Olinorder( tc_Int_Oint ) }.
% 0.94/1.59 { class_Groups_Omonoid__mult( tc_Int_Oint ) }.
% 0.94/1.59 { class_Groups_Omonoid__add( tc_Int_Oint ) }.
% 0.94/1.59 { class_Rings_Osemiring__1( tc_Int_Oint ) }.
% 0.94/1.59 { class_Rings_Osemiring__0( tc_Int_Oint ) }.
% 0.94/1.59 { class_Groups_Ogroup__add( tc_Int_Oint ) }.
% 0.94/1.59 { class_Rings_Omult__zero( tc_Int_Oint ) }.
% 0.94/1.59 { class_Orderings_Oorder( tc_Int_Oint ) }.
% 0.94/1.59 { class_Int_Oring__char__0( tc_Int_Oint ) }.
% 0.94/1.59 { class_Int_Onumber__ring( tc_Int_Oint ) }.
% 0.94/1.59 { class_Rings_Osemiring( tc_Int_Oint ) }.
% 0.94/1.59 { class_Orderings_Oord( tc_Int_Oint ) }.
% 0.94/1.59 { class_Rings_Oring__1( tc_Int_Oint ) }.
% 0.94/1.59 { class_Power_Opower( tc_Int_Oint ) }.
% 0.94/1.59 { class_Groups_Ozero( tc_Int_Oint ) }.
% 0.94/1.59 { class_Rings_Oring( tc_Int_Oint ) }.
% 0.94/1.59 { class_Rings_Oidom( tc_Int_Oint ) }.
% 0.94/1.59 { class_Int_Onumber( tc_Int_Oint ) }.
% 0.94/1.59 { class_Groups_Oone( tc_Int_Oint ) }.
% 0.94/1.59 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.94/1.59 tc_Nat_Onat ) }.
% 0.94/1.59 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.94/1.59 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Nat_Onat ) }.
% 0.94/1.59 { class_Rings_Olinordered__comm__semiring__strict( tc_Nat_Onat ) }.
% 0.94/1.59 { class_Rings_Olinordered__semiring__strict( tc_Nat_Onat ) }.
% 0.94/1.59 { class_Groups_Oordered__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.94/1.59 { class_Groups_Oordered__comm__monoid__add( tc_Nat_Onat ) }.
% 0.94/1.59 { class_Groups_Ocancel__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.94/1.59 { class_Rings_Oordered__cancel__semiring( tc_Nat_Onat ) }.
% 0.94/1.59 { class_Rings_Oordered__comm__semiring( tc_Nat_Onat ) }.
% 0.94/1.59 { class_Groups_Ocancel__semigroup__add( tc_Nat_Onat ) }.
% 0.94/1.59 { class_Rings_Olinordered__semiring( tc_Nat_Onat ) }.
% 0.94/1.59 { class_Rings_Olinordered__semidom( tc_Nat_Onat ) }.
% 0.94/1.59 { class_Groups_Oab__semigroup__mult( tc_Nat_Onat ) }.
% 0.94/1.59 { class_Groups_Ocomm__monoid__mult( tc_Nat_Onat ) }.
% 0.94/1.59 { class_Groups_Oab__semigroup__add( tc_Nat_Onat ) }.
% 0.94/1.59 { class_Rings_Oordered__semiring( tc_Nat_Onat ) }.
% 0.94/1.59 { class_Rings_Ono__zero__divisors( tc_Nat_Onat ) }.
% 0.94/1.59 { class_Groups_Ocomm__monoid__add( tc_Nat_Onat ) }.
% 0.94/1.59 { class_Rings_Ocomm__semiring__1( tc_Nat_Onat ) }.
% 0.94/1.59 { class_Rings_Ocomm__semiring( tc_Nat_Onat ) }.
% 0.94/1.59 { class_Rings_Ozero__neq__one( tc_Nat_Onat ) }.
% 0.94/1.59 { class_Orderings_Opreorder( tc_Nat_Onat ) }.
% 0.94/1.59 { class_Orderings_Olinorder( tc_Nat_Onat ) }.
% 0.94/1.59 { class_Groups_Omonoid__mult( tc_Nat_Onat ) }.
% 0.94/1.59 { class_Groups_Omonoid__add( tc_Nat_Onat ) }.
% 0.94/1.59 { class_Rings_Osemiring__1( tc_Nat_Onat ) }.
% 0.94/1.59 { class_Rings_Osemiring__0( tc_Nat_Onat ) }.
% 0.94/1.59 { class_Rings_Omult__zero( tc_Nat_Onat ) }.
% 0.94/1.59 { class_Orderings_Oorder( tc_Nat_Onat ) }.
% 0.94/1.59 { class_Rings_Osemiring( tc_Nat_Onat ) }.
% 0.94/1.59 { class_Orderings_Oord( tc_Nat_Onat ) }.
% 0.94/1.59 { class_Power_Opower( tc_Nat_Onat ) }.
% 0.94/1.59 { class_Groups_Ozero( tc_Nat_Onat ) }.
% 0.94/1.59 { class_Int_Onumber( tc_Nat_Onat ) }.
% 0.94/1.59 { class_Groups_Oone( tc_Nat_Onat ) }.
% 0.94/1.59 { class_Orderings_Opreorder( tc_HOL_Obool ) }.
% 0.94/1.59 { class_Orderings_Oorder( tc_HOL_Obool ) }.
% 0.94/1.59 { class_Orderings_Oord( tc_HOL_Obool ) }.
% 0.94/1.59 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.94/1.59 tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_RealDef_Oreal ) }
% 0.94/1.59 .
% 0.94/1.59 { class_Rings_Olinordered__comm__semiring__strict( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Fields_Olinordered__field__inverse__zero( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Rings_Olinordered__semiring__1__strict( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_RealVector_Oreal__normed__div__algebra( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Rings_Olinordered__semiring__strict( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Rings_Odivision__ring__inverse__zero( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_RealVector_Oreal__normed__algebra__1( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Groups_Oordered__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Groups_Oordered__ab__group__add__abs( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_RealVector_Oreal__normed__algebra( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Groups_Oordered__comm__monoid__add( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Groups_Olinordered__ab__group__add( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Groups_Ocancel__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Rings_Oring__1__no__zero__divisors( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Rings_Oordered__cancel__semiring( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_RealVector_Oreal__normed__vector( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Rings_Olinordered__ring__strict( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_RealVector_Oreal__normed__field( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Rings_Oring__no__zero__divisors( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Rings_Oordered__comm__semiring( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Rings_Olinordered__semiring__1( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Groups_Oordered__ab__group__add( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Groups_Ocancel__semigroup__add( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Rings_Olinordered__semiring( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Fields_Ofield__inverse__zero( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Rings_Olinordered__semidom( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Groups_Oab__semigroup__mult( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Groups_Ocomm__monoid__mult( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Groups_Oab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Fields_Olinordered__field( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Rings_Oordered__semiring( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Rings_Oordered__ring__abs( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Rings_Ono__zero__divisors( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Groups_Ocomm__monoid__add( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Rings_Olinordered__ring( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Rings_Olinordered__idom( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Rings_Ocomm__semiring__1( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_RealVector_Oreal__field( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Rings_Odivision__ring( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Rings_Ocomm__semiring( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Groups_Oab__group__add( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Rings_Ozero__neq__one( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Rings_Oordered__ring( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Orderings_Opreorder( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Orderings_Olinorder( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Groups_Omonoid__mult( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Groups_Omonoid__add( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Rings_Osemiring__1( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Rings_Osemiring__0( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Groups_Ogroup__add( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Rings_Omult__zero( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Orderings_Oorder( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Int_Oring__char__0( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Int_Onumber__ring( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Rings_Osemiring( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Orderings_Oord( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Rings_Oring__1( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Fields_Ofield( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Power_Opower( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Groups_Ozero( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Rings_Oring( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Rings_Oidom( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Int_Onumber( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Groups_Oone( tc_RealDef_Oreal ) }.
% 0.94/1.59 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.94/1.59 tc_Complex_Ocomplex ) }.
% 0.94/1.59 { class_RealVector_Oreal__normed__div__algebra( tc_Complex_Ocomplex ) }.
% 0.94/1.59 { class_Rings_Odivision__ring__inverse__zero( tc_Complex_Ocomplex ) }.
% 0.94/1.59 { class_RealVector_Oreal__normed__algebra__1( tc_Complex_Ocomplex ) }.
% 0.94/1.59 { class_RealVector_Oreal__normed__algebra( tc_Complex_Ocomplex ) }.
% 0.94/1.59 { class_Groups_Ocancel__ab__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.94/1.59 { class_Rings_Oring__1__no__zero__divisors( tc_Complex_Ocomplex ) }.
% 0.94/1.59 { class_RealVector_Oreal__normed__vector( tc_Complex_Ocomplex ) }.
% 0.94/1.59 { class_RealVector_Oreal__normed__field( tc_Complex_Ocomplex ) }.
% 0.94/1.59 { class_Rings_Oring__no__zero__divisors( tc_Complex_Ocomplex ) }.
% 0.94/1.59 { class_Groups_Ocancel__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.94/1.59 { class_Fields_Ofield__inverse__zero( tc_Complex_Ocomplex ) }.
% 0.94/1.59 { class_Groups_Oab__semigroup__mult( tc_Complex_Ocomplex ) }.
% 0.94/1.59 { class_Groups_Ocomm__monoid__mult( tc_Complex_Ocomplex ) }.
% 0.94/1.59 { class_Groups_Oab__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.94/1.59 { class_Rings_Ono__zero__divisors( tc_Complex_Ocomplex ) }.
% 0.94/1.59 { class_Groups_Ocomm__monoid__add( tc_Complex_Ocomplex ) }.
% 0.94/1.59 { class_Rings_Ocomm__semiring__1( tc_Complex_Ocomplex ) }.
% 0.94/1.59 { class_RealVector_Oreal__field( tc_Complex_Ocomplex ) }.
% 0.94/1.59 { class_Rings_Odivision__ring( tc_Complex_Ocomplex ) }.
% 0.94/1.59 { class_Rings_Ocomm__semiring( tc_Complex_Ocomplex ) }.
% 0.94/1.59 { class_Groups_Oab__group__add( tc_Complex_Ocomplex ) }.
% 0.94/1.59 { class_Rings_Ozero__neq__one( tc_Complex_Ocomplex ) }.
% 0.94/1.59 { class_Groups_Omonoid__mult( tc_Complex_Ocomplex ) }.
% 0.94/1.59 { class_Groups_Omonoid__add( tc_Complex_Ocomplex ) }.
% 0.94/1.59 { class_Rings_Osemiring__1( tc_Complex_Ocomplex ) }.
% 0.94/1.59 { class_Rings_Osemiring__0( tc_Complex_Ocomplex ) }.
% 0.94/1.59 { class_Groups_Ogroup__add( tc_Complex_Ocomplex ) }.
% 0.94/1.59 { class_Rings_Omult__zero( tc_Complex_Ocomplex ) }.
% 0.94/1.59 { class_Int_Oring__char__0( tc_Complex_Ocomplex ) }.
% 0.94/1.59 { class_Int_Onumber__ring( tc_Complex_Ocomplex ) }.
% 0.94/1.59 { class_Rings_Osemiring( tc_Complex_Ocomplex ) }.
% 0.94/1.59 { class_Rings_Oring__1( tc_Complex_Ocomplex ) }.
% 0.94/1.59 { class_Fields_Ofield( tc_Complex_Ocomplex ) }.
% 0.94/1.59 { class_Power_Opower( tc_Complex_Ocomplex ) }.
% 0.94/1.59 { class_Groups_Ozero( tc_Complex_Ocomplex ) }.
% 0.94/1.59 { class_Rings_Oring( tc_Complex_Ocomplex ) }.
% 0.94/1.59 { class_Rings_Oidom( tc_Complex_Ocomplex ) }.
% 0.94/1.59 { class_Int_Onumber( tc_Complex_Ocomplex ) }.
% 0.94/1.59 { class_Groups_Oone( tc_Complex_Ocomplex ) }.
% 0.94/1.59 { alpha98, ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_Complex_OIm( v_s( hAPP
% 0.94/1.59 ( v_f____, hAPP( v_ga____, skol14( Y ) ) ) ) ), v_y____ ) ),
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, v_e____,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.94/1.59 c_Int_OBit1( c_Int_OPls ) ) ) ) ), v_thesis____ }.
% 0.94/1.59 { alpha98, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, skol14( X ) )
% 0.94/1.59 , v_thesis____ }.
% 0.94/1.59 { ! alpha98, ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_Complex_ORe( v_s( hAPP
% 0.94/1.59 ( v_f____, skol15( Y ) ) ) ), v_x____ ) ),
% 0.94/1.59 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, v_e____,
% 0.94/1.59 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.94/1.59 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.94/1.59 { ! alpha98, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, skol15( X )
% 0.94/1.59 ) }.
% 0.94/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, skol18, X ),
% 0.94/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.94/1.59 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_Complex_ORe( v_s( hAPP
% 0.94/1.59 ( v_f____, X ) ) ), v_x____ ) ), c_Rings_Oinverse__class_Odivide(
% 0.94/1.59 tc_RealDef_Oreal, v_e____, c_Int_Onumber__class_Onumber__of(
% 0.94/1.59 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ), alpha98
% 0.94/1.59 }.
% 0.94/1.59 { ! v_thesis____ }.
% 0.94/1.59
% 0.94/1.59 *** allocated 15000 integers for clauses
% 0.94/1.59 *** allocated 22500 integers for clauses
% 0.94/1.59 *** allocated 33750 integers for clauses
% 0.94/1.59 *** allocated 50625 integers for clauses
% 0.94/1.59 *** allocated 75937 integers for clauses
% 0.94/1.59 *** allocated 113905 integers for clauses
% 0.94/1.59 percentage equality = 0.222386, percentage horn = 0.892163
% 0.94/1.59 This is a problem with some equality
% 0.94/1.59
% 0.94/1.59
% 0.94/1.59
% 0.94/1.59 Options Used:
% 0.94/1.59
% 0.94/1.59 useres = 1
% 0.94/1.59 useparamod = 1
% 0.94/1.59 useeqrefl = 1
% 0.94/1.59 useeqfact = 1
% 0.94/1.59 usefactor = 1
% 0.94/1.59 usesimpsplitting = 0
% 0.94/1.59 usesimpdemod = 5
% 0.94/1.59 usesimpres = 3
% 0.94/1.59
% 0.94/1.59 resimpinuse = 1000
% 0.94/1.59 resimpclauses = 20000
% 0.94/1.59 substype = eqrewr
% 0.94/1.59 backwardsubs = 1
% 0.94/1.59 selectoldest = 5
% 0.94/1.59
% 0.94/1.59 litorderings [0] = split
% 0.94/1.59 litorderings [1] = extend the termordering, first sorting on arguments
% 0.94/1.59
% 0.94/1.59 termordering = kbo
% 0.94/1.59
% 0.94/1.59 litapriori = 0
% 0.94/1.59 termapriori = 1
% 0.94/1.59 litaposteriori = 0
% 0.94/1.59 termaposteriori = 0
% 0.94/1.59 demodaposteriori = 0
% 0.94/1.59 ordereqreflfact = 0
% 0.94/1.59
% 0.94/1.59 litselect = negord
% 0.94/1.59
% 0.94/1.59 maxweight = 15
% 0.94/1.59 maxdepth = 30000
% 0.94/1.59 maxlength = 115
% 0.94/1.59 maxnrvars = 195
% 0.94/1.59 excuselevel = 1
% 0.94/1.59 increasemaxweight = 1
% 0.94/1.59
% 0.94/1.59 maxselected = 10000000
% 0.94/1.59 maxnrclauses = 10000000
% 0.94/1.59
% 0.94/1.59 showgenerated = 0
% 0.94/1.59 showkept = 0
% 0.94/1.59 showselected = 0
% 0.94/1.59 showdeleted = 0
% 0.94/1.59 showresimp = 1
% 0.94/1.59 showstatus = 2000
% 0.94/1.59
% 0.94/1.59 prologoutput = 0
% 0.94/1.59 nrgoals = 5000000
% 0.94/1.59 totalproof = 1
% 0.94/1.59
% 0.94/1.59 Symbols occurring in the translation:
% 0.94/1.59
% 0.94/1.59 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.94/1.59 . [1, 2] (w:1, o:196, a:1, s:1, b:0),
% 0.94/1.59 ! [4, 1] (w:0, o:106, a:1, s:1, b:0),
% 0.94/1.59 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.94/1.59 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.94/1.59 hAPP [38, 2] (w:1, o:220, a:1, s:1, b:0),
% 0.94/1.59 v_f____ [39, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.94/1.59 c_SEQ_Osubseq [40, 1] (w:1, o:111, a:1, s:1, b:0),
% 0.94/1.59 v_ga____ [41, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.94/1.59 tc_RealDef_Oreal [42, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.94/1.59 c_Groups_Ozero__class_Ozero [43, 1] (w:1, o:113, a:1, s:1, b:0),
% 0.94/1.59 v_e____ [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.94/1.59 c_Orderings_Oord__class_Oless [45, 3] (w:1, o:238, a:1, s:1, b:0),
% 0.94/1.59 tc_Nat_Onat [48, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.94/1.59 c_Orderings_Oord__class_Oless__eq [49, 3] (w:1, o:239, a:1, s:1, b:0)
% 0.94/1.59 ,
% 0.94/1.59 v_s [50, 1] (w:1, o:114, a:1, s:1, b:0),
% 0.94/1.59 c_Complex_ORe [51, 1] (w:1, o:115, a:1, s:1, b:0),
% 0.94/1.59 v_x____ [52, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.94/1.59 c_Groups_Ominus__class_Ominus [53, 3] (w:1, o:240, a:1, s:1, b:0),
% 0.94/1.59 c_Groups_Oabs__class_Oabs [54, 2] (w:1, o:221, a:1, s:1, b:0),
% 0.94/1.59 c_Int_OPls [55, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.94/1.59 c_Int_OBit1 [56, 1] (w:1, o:117, a:1, s:1, b:0),
% 0.94/1.59 c_Int_OBit0 [57, 1] (w:1, o:116, a:1, s:1, b:0),
% 0.94/1.59 c_Int_Onumber__class_Onumber__of [58, 2] (w:1, o:222, a:1, s:1, b:0)
% 0.94/1.59 ,
% 0.94/1.59 c_Rings_Oinverse__class_Odivide [59, 3] (w:1, o:241, a:1, s:1, b:0),
% 0.94/1.59
% 0.94/1.59 c_Complex_OIm [60, 1] (w:1, o:118, a:1, s:1, b:0),
% 0.94/1.59 v_y____ [61, 0] (w:1, o:25, a:1, s:1, b:0),
% 0.94/1.59 class_Fields_Ofield [64, 1] (w:1, o:119, a:1, s:1, b:0),
% 0.94/1.59 class_Int_Onumber__ring [65, 1] (w:1, o:120, a:1, s:1, b:0),
% 0.94/1.59 class_Groups_Oordered__ab__group__add__abs [69, 1] (w:1, o:124, a:1
% 0.94/1.59 , s:1, b:0),
% 0.94/1.59 class_Int_Onumber [72, 1] (w:1, o:125, a:1, s:1, b:0),
% 0.94/1.59 class_Orderings_Olinorder [73, 1] (w:1, o:126, a:1, s:1, b:0),
% 0.94/1.59 class_Orderings_Opreorder [74, 1] (w:1, o:129, a:1, s:1, b:0),
% 0.94/1.59 v_r [78, 0] (w:1, o:46, a:1, s:1, b:0),
% 0.94/1.59 tc_Complex_Ocomplex [80, 0] (w:1, o:47, a:1, s:1, b:0),
% 0.94/1.59 class_Groups_Ozero [81, 1] (w:1, o:130, a:1, s:1, b:0),
% 0.94/1.59 tc_Int_Oint [83, 0] (w:1, o:54, a:1, s:1, b:0),
% 0.94/1.59 class_Groups_Ogroup__add [91, 1] (w:1, o:131, a:1, s:1, b:0),
% 0.94/1.59 class_Groups_Oab__group__add [92, 1] (w:1, o:132, a:1, s:1, b:0),
% 0.94/1.60 class_Groups_Oordered__ab__group__add [93, 1] (w:1, o:133, a:1, s:1
% 0.94/1.60 , b:0),
% 0.94/1.60 class_Rings_Olinordered__idom [94, 1] (w:1, o:134, a:1, s:1, b:0),
% 0.94/1.60 class_Fields_Ofield__inverse__zero [95, 1] (w:1, o:121, a:1, s:1, b:0
% 0.94/1.60 ),
% 0.94/1.60 class_Orderings_Oord [97, 1] (w:1, o:127, a:1, s:1, b:0),
% 0.94/1.60 tc_fun [98, 2] (w:1, o:228, a:1, s:1, b:0),
% 0.94/1.60 class_Orderings_Oorder [100, 1] (w:1, o:128, a:1, s:1, b:0),
% 0.94/1.60 class_Int_Oring__char__0 [102, 1] (w:1, o:135, a:1, s:1, b:0),
% 0.94/1.60 class_Fields_Olinordered__field__inverse__zero [106, 1] (w:1, o:122
% 0.94/1.60 , a:1, s:1, b:0),
% 0.94/1.60 class_Fields_Olinordered__field [109, 1] (w:1, o:123, a:1, s:1, b:0)
% 0.94/1.60 ,
% 0.94/1.60 c_Fun_Ocomp [110, 5] (w:1, o:343, a:1, s:1, b:0),
% 0.94/1.60 c_RealVector_Onorm__class_Onorm [111, 2] (w:1, o:229, a:1, s:1, b:0)
% 0.94/1.60 ,
% 0.94/1.60 hBOOL [123, 1] (w:1, o:136, a:1, s:1, b:0),
% 0.94/1.60 class_RealVector_Oreal__normed__vector [124, 1] (w:1, o:137, a:1, s:1
% 0.94/1.60 , b:0),
% 0.94/1.60 class_RealVector_Oreal__normed__algebra__1 [125, 1] (w:1, o:138, a:1
% 0.94/1.60 , s:1, b:0),
% 0.94/1.60 class_RealVector_Oreal__normed__field [126, 1] (w:1, o:139, a:1, s:1
% 0.94/1.60 , b:0),
% 0.94/1.60 c_Groups_Oplus__class_Oplus [129, 3] (w:1, o:242, a:1, s:1, b:0),
% 0.94/1.60 c_Nat__Transfer_Otsub [130, 2] (w:1, o:230, a:1, s:1, b:0),
% 0.94/1.60 class_Rings_Odivision__ring [131, 1] (w:1, o:142, a:1, s:1, b:0),
% 0.94/1.60 class_Groups_Ocancel__semigroup__add [132, 1] (w:1, o:143, a:1, s:1
% 0.94/1.60 , b:0),
% 0.94/1.60 class_Groups_Ocancel__ab__semigroup__add [133, 1] (w:1, o:144, a:1
% 0.94/1.60 , s:1, b:0),
% 0.94/1.60 class_Groups_Oab__semigroup__add [134, 1] (w:1, o:145, a:1, s:1, b:0)
% 0.94/1.60 ,
% 0.94/1.60 class_Groups_Omonoid__add [135, 1] (w:1, o:147, a:1, s:1, b:0),
% 0.94/1.60 class_Groups_Ocomm__monoid__add [136, 1] (w:1, o:148, a:1, s:1, b:0)
% 0.94/1.60 ,
% 0.94/1.60 class_Groups_Olinordered__ab__group__add [137, 1] (w:1, o:146, a:1
% 0.94/1.60 , s:1, b:0),
% 0.94/1.60 class_Groups_Oordered__ab__semigroup__add__imp__le [138, 1] (w:1, o:
% 0.94/1.60 149, a:1, s:1, b:0),
% 0.94/1.60 class_Groups_Oordered__ab__semigroup__add [140, 1] (w:1, o:150, a:1
% 0.94/1.60 , s:1, b:0),
% 0.94/1.60 class_Groups_Oordered__cancel__ab__semigroup__add [141, 1] (w:1, o:
% 0.94/1.60 151, a:1, s:1, b:0),
% 0.94/1.60 class_Rings_Olinordered__semidom [142, 1] (w:1, o:154, a:1, s:1, b:0)
% 0.94/1.60 ,
% 0.94/1.60 class_Groups_Oordered__comm__monoid__add [143, 1] (w:1, o:155, a:1
% 0.94/1.60 , s:1, b:0),
% 0.94/1.60 class_Rings_Odivision__ring__inverse__zero [150, 1] (w:1, o:156, a:1
% 0.94/1.60 , s:1, b:0),
% 0.94/1.60 c_Groups_Oone__class_Oone [151, 1] (w:1, o:157, a:1, s:1, b:0),
% 0.94/1.60 c_SEQ_Odecseq [153, 2] (w:1, o:232, a:1, s:1, b:0),
% 0.94/1.60 class_Groups_Oone [157, 1] (w:1, o:158, a:1, s:1, b:0),
% 0.94/1.60 class_Rings_Ozero__neq__one [158, 1] (w:1, o:159, a:1, s:1, b:0),
% 0.94/1.60 c_Power_Opower__class_Opower [167, 3] (w:1, o:243, a:1, s:1, b:0),
% 0.94/1.60 class_RealVector_Oreal__normed__div__algebra [168, 1] (w:1, o:160, a:
% 0.94/1.60 1, s:1, b:0),
% 0.94/1.60 class_Rings_Oring__1__no__zero__divisors [169, 1] (w:1, o:161, a:1
% 0.94/1.60 , s:1, b:0),
% 0.94/1.60 class_Rings_Osemiring__1 [170, 1] (w:1, o:166, a:1, s:1, b:0),
% 0.94/1.60 class_Groups_Omonoid__mult [171, 1] (w:1, o:167, a:1, s:1, b:0),
% 0.94/1.60 class_Power_Opower [172, 1] (w:1, o:168, a:1, s:1, b:0),
% 0.94/1.60 class_Rings_Omult__zero [173, 1] (w:1, o:174, a:1, s:1, b:0),
% 0.94/1.60 class_Rings_Ono__zero__divisors [174, 1] (w:1, o:175, a:1, s:1, b:0)
% 0.94/1.60 ,
% 0.94/1.60 class_Rings_Osemiring__0 [175, 1] (w:1, o:165, a:1, s:1, b:0),
% 0.94/1.60 c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt [177, 1] (w:1, o:
% 0.94/1.60 112, a:1, s:1, b:0),
% 0.94/1.60 class_Rings_Ocomm__semiring__1 [178, 1] (w:1, o:140, a:1, s:1, b:0),
% 0.94/1.60
% 0.94/1.60 c_NthRoot_Osqrt [180, 1] (w:1, o:176, a:1, s:1, b:0),
% 0.94/1.60 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct [
% 0.94/1.60 181, 1] (w:1, o:186, a:1, s:1, b:0),
% 0.94/1.60 c_Groups_Otimes__class_Otimes [183, 3] (w:1, o:244, a:1, s:1, b:0),
% 0.94/1.60 c_Complex_Oii [184, 0] (w:1, o:99, a:1, s:1, b:0),
% 0.94/1.60 c_Rings_Oinverse__class_Oinverse [185, 2] (w:1, o:231, a:1, s:1, b:0)
% 0.94/1.60 ,
% 0.94/1.60 class_Groups_Ocomm__monoid__mult [186, 1] (w:1, o:187, a:1, s:1, b:0)
% 0.94/1.60 ,
% 0.94/1.60 class_Rings_Osemiring [193, 1] (w:1, o:177, a:1, s:1, b:0),
% 0.94/1.60 class_Rings_Ocomm__semiring [194, 1] (w:1, o:141, a:1, s:1, b:0),
% 0.94/1.62 class_RealVector_Oreal__normed__algebra [196, 1] (w:1, o:178, a:1, s:
% 0.94/1.62 1, b:0),
% 0.94/1.62 class_Groups_Oab__semigroup__mult [198, 1] (w:1, o:188, a:1, s:1, b:0
% 0.94/1.62 ),
% 0.94/1.62 class_Rings_Oring__no__zero__divisors [199, 1] (w:1, o:162, a:1, s:1
% 0.94/1.62 , b:0),
% 0.94/1.62 class_Rings_Oordered__cancel__semiring [200, 1] (w:1, o:179, a:1, s:1
% 0.94/1.62 , b:0),
% 0.94/1.62 class_Rings_Oordered__ring [201, 1] (w:1, o:180, a:1, s:1, b:0),
% 0.94/1.62 class_Rings_Oordered__semiring [202, 1] (w:1, o:182, a:1, s:1, b:0),
% 0.94/1.62
% 0.94/1.62 class_Rings_Oordered__comm__semiring [203, 1] (w:1, o:183, a:1, s:1
% 0.94/1.62 , b:0),
% 0.94/1.62 class_Rings_Olinordered__ring__strict [204, 1] (w:1, o:152, a:1, s:1
% 0.94/1.62 , b:0),
% 0.94/1.62 class_Rings_Olinordered__ring [205, 1] (w:1, o:153, a:1, s:1, b:0),
% 0.94/1.62 class_Rings_Olinordered__comm__semiring__strict [206, 1] (w:1, o:169
% 0.94/1.62 , a:1, s:1, b:0),
% 0.94/1.62 class_Rings_Olinordered__semiring__strict [207, 1] (w:1, o:170, a:1
% 0.94/1.62 , s:1, b:0),
% 0.94/1.62 class_Rings_Oring [209, 1] (w:1, o:163, a:1, s:1, b:0),
% 0.94/1.62 class_Rings_Olinordered__semiring [211, 1] (w:1, o:171, a:1, s:1, b:0
% 0.94/1.62 ),
% 0.94/1.62 class_Rings_Oring__1 [212, 1] (w:1, o:164, a:1, s:1, b:0),
% 0.94/1.62 class_Rings_Oordered__ring__abs [213, 1] (w:1, o:181, a:1, s:1, b:0)
% 0.94/1.62 ,
% 0.94/1.62 class_RealVector_Oreal__field [215, 1] (w:1, o:184, a:1, s:1, b:0),
% 0.94/1.62 class_Rings_Olinordered__semiring__1 [216, 1] (w:1, o:172, a:1, s:1
% 0.94/1.62 , b:0),
% 0.94/1.62 class_Rings_Olinordered__semiring__1__strict [217, 1] (w:1, o:173, a:
% 0.94/1.62 1, s:1, b:0),
% 0.94/1.62 c_Transcendental_Oarctan [218, 1] (w:1, o:189, a:1, s:1, b:0),
% 0.94/1.62 c_Groups_Ouminus__class_Ouminus [219, 2] (w:1, o:233, a:1, s:1, b:0)
% 0.94/1.62 ,
% 0.94/1.62 class_Rings_Oidom [220, 1] (w:1, o:185, a:1, s:1, b:0),
% 0.94/1.62 tc_HOL_Obool [223, 0] (w:1, o:53, a:1, s:1, b:0),
% 0.94/1.62 v_thesis____ [226, 0] (w:1, o:104, a:1, s:1, b:0),
% 0.94/1.62 alpha1 [227, 2] (w:1, o:234, a:1, s:1, b:1),
% 0.94/1.62 alpha2 [228, 3] (w:1, o:253, a:1, s:1, b:1),
% 0.94/1.62 alpha3 [229, 3] (w:1, o:264, a:1, s:1, b:1),
% 0.94/1.62 alpha4 [230, 3] (w:1, o:274, a:1, s:1, b:1),
% 0.94/1.62 alpha5 [231, 3] (w:1, o:275, a:1, s:1, b:1),
% 0.94/1.62 alpha6 [232, 2] (w:1, o:235, a:1, s:1, b:1),
% 0.94/1.62 alpha7 [233, 3] (w:1, o:276, a:1, s:1, b:1),
% 0.94/1.62 alpha8 [234, 3] (w:1, o:277, a:1, s:1, b:1),
% 0.94/1.62 alpha9 [235, 3] (w:1, o:278, a:1, s:1, b:1),
% 0.94/1.62 alpha10 [236, 3] (w:1, o:245, a:1, s:1, b:1),
% 0.94/1.62 alpha11 [237, 4] (w:1, o:284, a:1, s:1, b:1),
% 0.94/1.62 alpha12 [238, 4] (w:1, o:285, a:1, s:1, b:1),
% 0.94/1.62 alpha13 [239, 3] (w:1, o:246, a:1, s:1, b:1),
% 0.94/1.62 alpha14 [240, 3] (w:1, o:247, a:1, s:1, b:1),
% 0.94/1.62 alpha15 [241, 3] (w:1, o:248, a:1, s:1, b:1),
% 0.94/1.62 alpha16 [242, 3] (w:1, o:249, a:1, s:1, b:1),
% 0.94/1.62 alpha17 [243, 3] (w:1, o:250, a:1, s:1, b:1),
% 0.94/1.62 alpha18 [244, 3] (w:1, o:251, a:1, s:1, b:1),
% 0.94/1.62 alpha19 [245, 3] (w:1, o:252, a:1, s:1, b:1),
% 0.94/1.62 alpha20 [246, 3] (w:1, o:254, a:1, s:1, b:1),
% 0.94/1.62 alpha21 [247, 3] (w:1, o:255, a:1, s:1, b:1),
% 0.94/1.62 alpha22 [248, 3] (w:1, o:256, a:1, s:1, b:1),
% 0.94/1.62 alpha23 [249, 3] (w:1, o:257, a:1, s:1, b:1),
% 0.94/1.62 alpha24 [250, 3] (w:1, o:258, a:1, s:1, b:1),
% 0.94/1.62 alpha25 [251, 3] (w:1, o:259, a:1, s:1, b:1),
% 0.94/1.62 alpha26 [252, 3] (w:1, o:260, a:1, s:1, b:1),
% 0.94/1.62 alpha27 [253, 3] (w:1, o:261, a:1, s:1, b:1),
% 0.94/1.62 alpha28 [254, 3] (w:1, o:262, a:1, s:1, b:1),
% 0.94/1.62 alpha29 [255, 3] (w:1, o:263, a:1, s:1, b:1),
% 0.94/1.62 alpha30 [256, 3] (w:1, o:265, a:1, s:1, b:1),
% 0.94/1.62 alpha31 [257, 3] (w:1, o:266, a:1, s:1, b:1),
% 0.94/1.62 alpha32 [258, 3] (w:1, o:267, a:1, s:1, b:1),
% 0.94/1.62 alpha33 [259, 3] (w:1, o:268, a:1, s:1, b:1),
% 0.94/1.62 alpha34 [260, 3] (w:1, o:269, a:1, s:1, b:1),
% 0.94/1.62 alpha35 [261, 2] (w:1, o:236, a:1, s:1, b:1),
% 0.94/1.62 alpha36 [262, 3] (w:1, o:270, a:1, s:1, b:1),
% 0.94/1.62 alpha37 [263, 3] (w:1, o:271, a:1, s:1, b:1),
% 0.94/1.62 alpha38 [264, 3] (w:1, o:272, a:1, s:1, b:1),
% 0.94/1.62 alpha39 [265, 3] (w:1, o:273, a:1, s:1, b:1),
% 0.94/1.62 alpha40 [266, 4] (w:1, o:286, a:1, s:1, b:1),
% 0.94/1.62 alpha41 [267, 4] (w:1, o:287, a:1, s:1, b:1),
% 0.94/1.62 alpha42 [268, 4] (w:1, o:288, a:1, s:1, b:1),
% 0.94/1.62 alpha43 [269, 4] (w:1, o:289, a:1, s:1, b:1),
% 7.98/8.35 alpha44 [270, 4] (w:1, o:290, a:1, s:1, b:1),
% 7.98/8.35 alpha45 [271, 4] (w:1, o:291, a:1, s:1, b:1),
% 7.98/8.35 alpha46 [272, 4] (w:1, o:292, a:1, s:1, b:1),
% 7.98/8.35 alpha47 [273, 4] (w:1, o:293, a:1, s:1, b:1),
% 7.98/8.35 alpha48 [274, 4] (w:1, o:294, a:1, s:1, b:1),
% 7.98/8.35 alpha49 [275, 4] (w:1, o:295, a:1, s:1, b:1),
% 7.98/8.35 alpha50 [276, 4] (w:1, o:296, a:1, s:1, b:1),
% 7.98/8.35 alpha51 [277, 4] (w:1, o:297, a:1, s:1, b:1),
% 7.98/8.35 alpha52 [278, 4] (w:1, o:298, a:1, s:1, b:1),
% 7.98/8.35 alpha53 [279, 4] (w:1, o:299, a:1, s:1, b:1),
% 7.98/8.35 alpha54 [280, 4] (w:1, o:300, a:1, s:1, b:1),
% 7.98/8.35 alpha55 [281, 4] (w:1, o:301, a:1, s:1, b:1),
% 7.98/8.35 alpha56 [282, 4] (w:1, o:302, a:1, s:1, b:1),
% 7.98/8.35 alpha57 [283, 4] (w:1, o:303, a:1, s:1, b:1),
% 7.98/8.35 alpha58 [284, 4] (w:1, o:304, a:1, s:1, b:1),
% 7.98/8.35 alpha59 [285, 4] (w:1, o:305, a:1, s:1, b:1),
% 7.98/8.35 alpha60 [286, 4] (w:1, o:306, a:1, s:1, b:1),
% 7.98/8.35 alpha61 [287, 4] (w:1, o:307, a:1, s:1, b:1),
% 7.98/8.35 alpha62 [288, 4] (w:1, o:308, a:1, s:1, b:1),
% 7.98/8.35 alpha63 [289, 4] (w:1, o:309, a:1, s:1, b:1),
% 7.98/8.35 alpha64 [290, 4] (w:1, o:310, a:1, s:1, b:1),
% 7.98/8.35 alpha65 [291, 4] (w:1, o:311, a:1, s:1, b:1),
% 7.98/8.35 alpha66 [292, 4] (w:1, o:312, a:1, s:1, b:1),
% 7.98/8.35 alpha67 [293, 4] (w:1, o:313, a:1, s:1, b:1),
% 7.98/8.35 alpha68 [294, 4] (w:1, o:314, a:1, s:1, b:1),
% 7.98/8.35 alpha69 [295, 4] (w:1, o:315, a:1, s:1, b:1),
% 7.98/8.35 alpha70 [296, 4] (w:1, o:316, a:1, s:1, b:1),
% 7.98/8.35 alpha71 [297, 4] (w:1, o:317, a:1, s:1, b:1),
% 7.98/8.35 alpha72 [298, 4] (w:1, o:318, a:1, s:1, b:1),
% 7.98/8.35 alpha73 [299, 4] (w:1, o:319, a:1, s:1, b:1),
% 7.98/8.35 alpha74 [300, 4] (w:1, o:320, a:1, s:1, b:1),
% 7.98/8.35 alpha75 [301, 4] (w:1, o:321, a:1, s:1, b:1),
% 7.98/8.35 alpha76 [302, 4] (w:1, o:322, a:1, s:1, b:1),
% 7.98/8.35 alpha77 [303, 4] (w:1, o:323, a:1, s:1, b:1),
% 7.98/8.35 alpha78 [304, 4] (w:1, o:324, a:1, s:1, b:1),
% 7.98/8.35 alpha79 [305, 4] (w:1, o:325, a:1, s:1, b:1),
% 7.98/8.35 alpha80 [306, 4] (w:1, o:326, a:1, s:1, b:1),
% 7.98/8.35 alpha81 [307, 4] (w:1, o:327, a:1, s:1, b:1),
% 7.98/8.35 alpha82 [308, 4] (w:1, o:328, a:1, s:1, b:1),
% 7.98/8.35 alpha83 [309, 4] (w:1, o:329, a:1, s:1, b:1),
% 7.98/8.35 alpha84 [310, 4] (w:1, o:330, a:1, s:1, b:1),
% 7.98/8.35 alpha85 [311, 4] (w:1, o:331, a:1, s:1, b:1),
% 7.98/8.35 alpha86 [312, 4] (w:1, o:332, a:1, s:1, b:1),
% 7.98/8.35 alpha87 [313, 4] (w:1, o:333, a:1, s:1, b:1),
% 7.98/8.35 alpha88 [314, 4] (w:1, o:334, a:1, s:1, b:1),
% 7.98/8.35 alpha89 [315, 4] (w:1, o:335, a:1, s:1, b:1),
% 7.98/8.35 alpha90 [316, 4] (w:1, o:336, a:1, s:1, b:1),
% 7.98/8.35 alpha91 [317, 4] (w:1, o:337, a:1, s:1, b:1),
% 7.98/8.35 alpha92 [318, 4] (w:1, o:338, a:1, s:1, b:1),
% 7.98/8.35 alpha93 [319, 4] (w:1, o:339, a:1, s:1, b:1),
% 7.98/8.35 alpha94 [320, 4] (w:1, o:340, a:1, s:1, b:1),
% 7.98/8.35 alpha95 [321, 4] (w:1, o:341, a:1, s:1, b:1),
% 7.98/8.35 alpha96 [322, 3] (w:1, o:279, a:1, s:1, b:1),
% 7.98/8.35 alpha97 [323, 2] (w:1, o:237, a:1, s:1, b:1),
% 7.98/8.35 alpha98 [324, 0] (w:1, o:105, a:1, s:1, b:1),
% 7.98/8.35 alpha99 [325, 3] (w:1, o:280, a:1, s:1, b:1),
% 7.98/8.35 skol1 [326, 2] (w:1, o:223, a:1, s:1, b:1),
% 7.98/8.35 skol2 [327, 0] (w:1, o:16, a:1, s:1, b:1),
% 7.98/8.35 skol3 [328, 0] (w:1, o:17, a:1, s:1, b:1),
% 7.98/8.35 skol4 [329, 1] (w:1, o:190, a:1, s:1, b:1),
% 7.98/8.35 skol5 [330, 1] (w:1, o:191, a:1, s:1, b:1),
% 7.98/8.35 skol6 [331, 3] (w:1, o:281, a:1, s:1, b:1),
% 7.98/8.35 skol7 [332, 1] (w:1, o:192, a:1, s:1, b:1),
% 7.98/8.35 skol8 [333, 2] (w:1, o:224, a:1, s:1, b:1),
% 7.98/8.35 skol9 [334, 2] (w:1, o:225, a:1, s:1, b:1),
% 7.98/8.35 skol10 [335, 3] (w:1, o:282, a:1, s:1, b:1),
% 7.98/8.35 skol11 [336, 3] (w:1, o:283, a:1, s:1, b:1),
% 7.98/8.35 skol12 [337, 4] (w:1, o:342, a:1, s:1, b:1),
% 7.98/8.35 skol13 [338, 2] (w:1, o:226, a:1, s:1, b:1),
% 7.98/8.35 skol14 [339, 1] (w:1, o:193, a:1, s:1, b:1),
% 7.98/8.35 skol15 [340, 1] (w:1, o:194, a:1, s:1, b:1),
% 7.98/8.35 skol16 [341, 1] (w:1, o:195, a:1, s:1, b:1),
% 7.98/8.35 skol17 [342, 2] (w:1, o:227, a:1, s:1, b:1),
% 7.98/8.35 skol18 [343, 0] (w:1, o:15, a:1, s:1, b:1).
% 7.98/8.35
% 7.98/8.35
% 7.98/8.35 Starting Search:
% 7.98/8.35
% 7.98/8.35 *** allocated 170857 integers for clauses
% 7.98/8.35 Resimplifying inuse:
% 7.98/8.35 Done
% 7.98/8.35
% 7.98/8.35
% 7.98/8.35 Intermediate Status:
% 7.98/8.35 Generated: 2784
% 7.98/8.35 Kept: 2002
% 7.98/8.35 Inuse: 21
% 41.53/41.91 Deleted: 0
% 41.53/41.91 Deletedinuse: 0
% 41.53/41.91
% 41.53/41.91 *** allocated 256285 integers for clauses
% 41.53/41.91 Resimplifying inuse:
% 41.53/41.91 Done
% 41.53/41.91
% 41.53/41.91 *** allocated 170857 integers for termspace/termends
% 41.53/41.91 *** allocated 384427 integers for clauses
% 41.53/41.91
% 41.53/41.91 Intermediate Status:
% 41.53/41.91 Generated: 7139
% 41.53/41.91 Kept: 4325
% 41.53/41.91 Inuse: 186
% 41.53/41.91 Deleted: 5
% 41.53/41.91 Deletedinuse: 0
% 41.53/41.91
% 41.53/41.91 Resimplifying inuse:
% 41.53/41.91 Done
% 41.53/41.91
% 41.53/41.91 Resimplifying inuse:
% 41.53/41.91 Done
% 41.53/41.91
% 41.53/41.91 *** allocated 256285 integers for termspace/termends
% 41.53/41.91
% 41.53/41.91 Intermediate Status:
% 41.53/41.91 Generated: 11128
% 41.53/41.91 Kept: 6430
% 41.53/41.91 Inuse: 294
% 41.53/41.91 Deleted: 10
% 41.53/41.91 Deletedinuse: 0
% 41.53/41.91
% 41.53/41.91 Resimplifying inuse:
% 41.53/41.91 Done
% 41.53/41.91
% 41.53/41.91 *** allocated 576640 integers for clauses
% 41.53/41.91 Resimplifying inuse:
% 41.53/41.91 Done
% 41.53/41.91
% 41.53/41.91
% 41.53/41.91 Intermediate Status:
% 41.53/41.91 Generated: 15962
% 41.53/41.91 Kept: 8517
% 41.53/41.91 Inuse: 381
% 41.53/41.91 Deleted: 10
% 41.53/41.91 Deletedinuse: 0
% 41.53/41.91
% 41.53/41.91 Resimplifying inuse:
% 41.53/41.91 Done
% 41.53/41.91
% 41.53/41.91 Resimplifying inuse:
% 41.53/41.91 Done
% 41.53/41.91
% 41.53/41.91
% 41.53/41.91 Intermediate Status:
% 41.53/41.91 Generated: 21477
% 41.53/41.91 Kept: 10614
% 41.53/41.91 Inuse: 479
% 41.53/41.91 Deleted: 12
% 41.53/41.91 Deletedinuse: 0
% 41.53/41.91
% 41.53/41.91 Resimplifying inuse:
% 41.53/41.91 Done
% 41.53/41.91
% 41.53/41.91 *** allocated 384427 integers for termspace/termends
% 41.53/41.91 Resimplifying inuse:
% 41.53/41.91 Done
% 41.53/41.91
% 41.53/41.91 *** allocated 864960 integers for clauses
% 41.53/41.91
% 41.53/41.91 Intermediate Status:
% 41.53/41.91 Generated: 31131
% 41.53/41.91 Kept: 13314
% 41.53/41.91 Inuse: 533
% 41.53/41.91 Deleted: 13
% 41.53/41.91 Deletedinuse: 0
% 41.53/41.91
% 41.53/41.91 Resimplifying inuse:
% 41.53/41.91 Done
% 41.53/41.91
% 41.53/41.91 Resimplifying inuse:
% 41.53/41.91 Done
% 41.53/41.91
% 41.53/41.91
% 41.53/41.91 Intermediate Status:
% 41.53/41.91 Generated: 38786
% 41.53/41.91 Kept: 15831
% 41.53/41.91 Inuse: 597
% 41.53/41.91 Deleted: 14
% 41.53/41.91 Deletedinuse: 0
% 41.53/41.91
% 41.53/41.91 Resimplifying inuse:
% 41.53/41.91 Done
% 41.53/41.91
% 41.53/41.91 Resimplifying inuse:
% 41.53/41.91 Done
% 41.53/41.91
% 41.53/41.91 *** allocated 576640 integers for termspace/termends
% 41.53/41.91
% 41.53/41.91 Intermediate Status:
% 41.53/41.91 Generated: 46215
% 41.53/41.91 Kept: 17833
% 41.53/41.91 Inuse: 615
% 41.53/41.91 Deleted: 221
% 41.53/41.91 Deletedinuse: 207
% 41.53/41.91
% 41.53/41.91 Resimplifying inuse:
% 41.53/41.91 Done
% 41.53/41.91
% 41.53/41.91 *** allocated 1297440 integers for clauses
% 41.53/41.91 Resimplifying inuse:
% 41.53/41.91 Done
% 41.53/41.91
% 41.53/41.91
% 41.53/41.91 Intermediate Status:
% 41.53/41.91 Generated: 54970
% 41.53/41.91 Kept: 21175
% 41.53/41.91 Inuse: 667
% 41.53/41.91 Deleted: 221
% 41.53/41.91 Deletedinuse: 207
% 41.53/41.91
% 41.53/41.91 Resimplifying inuse:
% 41.53/41.91 Done
% 41.53/41.91
% 41.53/41.91 Resimplifying clauses:
% 41.53/41.91 Done
% 41.53/41.91
% 41.53/41.91 Resimplifying inuse:
% 41.53/41.91 Done
% 41.53/41.91
% 41.53/41.91
% 41.53/41.91 Intermediate Status:
% 41.53/41.91 Generated: 60878
% 41.53/41.91 Kept: 23254
% 41.53/41.91 Inuse: 681
% 41.53/41.91 Deleted: 4489
% 41.53/41.91 Deletedinuse: 209
% 41.53/41.91
% 41.53/41.91 Resimplifying inuse:
% 41.53/41.91 Done
% 41.53/41.91
% 41.53/41.91 Resimplifying inuse:
% 41.53/41.91 Done
% 41.53/41.91
% 41.53/41.91
% 41.53/41.91 Intermediate Status:
% 41.53/41.91 Generated: 65973
% 41.53/41.91 Kept: 25277
% 41.53/41.91 Inuse: 724
% 41.53/41.91 Deleted: 4495
% 41.53/41.91 Deletedinuse: 209
% 41.53/41.91
% 41.53/41.91 Resimplifying inuse:
% 41.53/41.91 Done
% 41.53/41.91
% 41.53/41.91 *** allocated 864960 integers for termspace/termends
% 41.53/41.91 Resimplifying inuse:
% 41.53/41.91 Done
% 41.53/41.91
% 41.53/41.91
% 41.53/41.91 Intermediate Status:
% 41.53/41.91 Generated: 72994
% 41.53/41.91 Kept: 27285
% 41.53/41.91 Inuse: 765
% 41.53/41.91 Deleted: 4495
% 41.53/41.91 Deletedinuse: 209
% 41.53/41.91
% 41.53/41.91 Resimplifying inuse:
% 41.53/41.91 Done
% 41.53/41.91
% 41.53/41.91 Resimplifying inuse:
% 41.53/41.91 Done
% 41.53/41.91
% 41.53/41.91
% 41.53/41.91 Intermediate Status:
% 41.53/41.91 Generated: 78894
% 41.53/41.91 Kept: 29334
% 41.53/41.91 Inuse: 810
% 41.53/41.91 Deleted: 4495
% 41.53/41.91 Deletedinuse: 209
% 41.53/41.91
% 41.53/41.91 *** allocated 1946160 integers for clauses
% 41.53/41.91 Resimplifying inuse:
% 41.53/41.91 Done
% 41.53/41.91
% 41.53/41.91
% 41.53/41.91 Intermediate Status:
% 41.53/41.91 Generated: 86301
% 41.53/41.91 Kept: 32149
% 41.53/41.91 Inuse: 820
% 41.53/41.91 Deleted: 4495
% 41.53/41.91 Deletedinuse: 209
% 41.53/41.91
% 41.53/41.91 Resimplifying inuse:
% 41.53/41.91 Done
% 41.53/41.91
% 41.53/41.91 Resimplifying inuse:
% 41.53/41.91 Done
% 41.53/41.91
% 41.53/41.91
% 41.53/41.91 Intermediate Status:
% 41.53/41.91 Generated: 93736
% 41.53/41.91 Kept: 34153
% 41.53/41.91 Inuse: 854
% 41.53/41.91 Deleted: 4496
% 41.53/41.91 Deletedinuse: 209
% 41.53/41.91
% 41.53/41.91 Resimplifying inuse:
% 41.53/41.91 Done
% 41.53/41.91
% 41.53/41.91 Resimplifying inuse:
% 41.53/41.91 Done
% 41.53/41.91
% 41.53/41.91
% 41.53/41.91 Intermediate Status:
% 41.53/41.91 Generated: 99710
% 41.53/41.91 Kept: 36159
% 41.53/41.91 Inuse: 901
% 41.53/41.91 Deleted: 4499
% 41.53/41.91 Deletedinuse: 209
% 41.53/41.91
% 41.53/41.91 Resimplifying inuse:
% 41.53/41.91 Done
% 41.53/41.91
% 41.53/41.91 Resimplifying inuse:
% 41.53/41.91 Done
% 41.53/41.91
% 41.53/41.91
% 41.53/41.91 Intermediate Status:
% 41.53/41.91 Generated: 105282
% 41.53/41.91 Kept: 38174
% 41.53/41.91 Inuse: 943
% 41.53/41.91 Deleted: 4499
% 41.53/41.91 Deletedinuse: 209
% 41.53/41.91
% 41.53/41.91 Resimplifying inuse:
% 41.53/41.91 Done
% 41.53/41.91
% 41.53/41.91 Resimplifying inuse:
% 41.53/41.91 Done
% 41.53/41.91
% 41.53/41.91
% 41.53/41.91 Intermediate Status:
% 41.53/41.91 Generated: 110470
% 41.53/41.91 Kept: 40217
% 41.53/41.91 Inuse: 982
% 41.53/41.91 Deleted: 4499
% 41.53/41.91 Deletedinuse: 209
% 41.53/41.91
% 41.53/41.91 Resimplifying inuse:
% 41.53/41.91 Done
% 41.53/41.91
% 41.53/41.91 *** allocated 1297440 integers for termspace/termends
% 41.53/41.91 Resimplifying clauses:
% 41.53/41.91 Done
% 41.53/41.91
% 41.53/41.91 Resimplifying inuse:
% 41.53/41.91 Done
% 41.53/41.91
% 41.53/41.91
% 41.53/41.91 Intermediate Status:
% 41.53/41.91 Generated: 115867
% 41.53/41.91 Kept: 42236
% 41.53/41.91 Inuse: 1015
% 41.53/41.91 Deleted: 5355
% 41.53/41.91 Deletedinuse: 209
% 41.53/41.91
% 41.53/41.91 Resimplifying inuse:
% 41.53/41.91 Done
% 41.53/41.91
% 41.53/41.91 Resimplifying inuse:
% 41.53/41.91 Done
% 41.53/41.91
% 41.53/41.91
% 41.53/41.91 Intermediate Status:
% 41.53/41.91 Generated: 120723
% 41.53/41.91 Kept: 44328
% 41.53/41.91 Inuse: 1066
% 41.53/41.91 Deleted: 5355
% 41.53/41.91 Deletedinuse: 209
% 41.53/41.91
% 41.53/41.91 Resimplifying inuse:
% 41.53/41.91 Done
% 41.53/41.91
% 41.53/41.91 Resimplifying inuse:
% 41.53/41.91 Done
% 41.53/41.91
% 41.53/41.91 *** allocated 2919240 integers for clauses
% 41.53/41.91
% 41.53/41.91 Intermediate Status:
% 41.53/41.91 Generated: 126438
% 41.53/41.91 Kept: 46471
% 41.53/41.91 Inuse: 1111
% 41.53/41.91 Deleted: 5358
% 41.53/41.91 Deletedinuse: 212
% 41.53/41.91
% 41.53/41.91 Resimplifying inuse:
% 41.53/41.91 Done
% 96.01/96.40
% 96.01/96.40 Resimplifying inuse:
% 96.01/96.40 Done
% 96.01/96.40
% 96.01/96.40
% 96.01/96.40 Intermediate Status:
% 96.01/96.40 Generated: 132182
% 96.01/96.40 Kept: 48481
% 96.01/96.40 Inuse: 1142
% 96.01/96.40 Deleted: 5358
% 96.01/96.40 Deletedinuse: 212
% 96.01/96.40
% 96.01/96.40 Resimplifying inuse:
% 96.01/96.40 Done
% 96.01/96.40
% 96.01/96.40 Resimplifying inuse:
% 96.01/96.40 Done
% 96.01/96.40
% 96.01/96.40
% 96.01/96.40 Intermediate Status:
% 96.01/96.40 Generated: 139868
% 96.01/96.40 Kept: 51922
% 96.01/96.40 Inuse: 1181
% 96.01/96.40 Deleted: 5358
% 96.01/96.40 Deletedinuse: 212
% 96.01/96.40
% 96.01/96.40 Resimplifying inuse:
% 96.01/96.40 Done
% 96.01/96.40
% 96.01/96.40 Resimplifying inuse:
% 96.01/96.40 Done
% 96.01/96.40
% 96.01/96.40
% 96.01/96.40 Intermediate Status:
% 96.01/96.40 Generated: 147065
% 96.01/96.40 Kept: 53959
% 96.01/96.40 Inuse: 1187
% 96.01/96.40 Deleted: 5358
% 96.01/96.40 Deletedinuse: 212
% 96.01/96.40
% 96.01/96.40 Resimplifying inuse:
% 96.01/96.40 Done
% 96.01/96.40
% 96.01/96.40
% 96.01/96.40 Intermediate Status:
% 96.01/96.40 Generated: 160518
% 96.01/96.40 Kept: 55959
% 96.01/96.40 Inuse: 1226
% 96.01/96.40 Deleted: 5362
% 96.01/96.40 Deletedinuse: 215
% 96.01/96.40
% 96.01/96.40 Resimplifying inuse:
% 96.01/96.40 Done
% 96.01/96.40
% 96.01/96.40 Resimplifying inuse:
% 96.01/96.40 Done
% 96.01/96.40
% 96.01/96.40
% 96.01/96.40 Intermediate Status:
% 96.01/96.40 Generated: 169605
% 96.01/96.40 Kept: 58013
% 96.01/96.40 Inuse: 1246
% 96.01/96.40 Deleted: 5363
% 96.01/96.40 Deletedinuse: 216
% 96.01/96.40
% 96.01/96.40
% 96.01/96.40 Intermediate Status:
% 96.01/96.40 Generated: 175781
% 96.01/96.40 Kept: 62414
% 96.01/96.40 Inuse: 1250
% 96.01/96.40 Deleted: 5363
% 96.01/96.40 Deletedinuse: 216
% 96.01/96.40
% 96.01/96.40 Resimplifying inuse:
% 96.01/96.40 Done
% 96.01/96.40
% 96.01/96.40 Resimplifying clauses:
% 96.01/96.40 Done
% 96.01/96.40
% 96.01/96.40 Resimplifying inuse:
% 96.01/96.40 Done
% 96.01/96.40
% 96.01/96.40 *** allocated 1946160 integers for termspace/termends
% 96.01/96.40
% 96.01/96.40 Intermediate Status:
% 96.01/96.40 Generated: 181351
% 96.01/96.40 Kept: 64476
% 96.01/96.40 Inuse: 1285
% 96.01/96.40 Deleted: 5556
% 96.01/96.40 Deletedinuse: 216
% 96.01/96.40
% 96.01/96.40 Resimplifying inuse:
% 96.01/96.40 Done
% 96.01/96.40
% 96.01/96.40
% 96.01/96.40 Intermediate Status:
% 96.01/96.40 Generated: 190338
% 96.01/96.40 Kept: 67053
% 96.01/96.40 Inuse: 1295
% 96.01/96.40 Deleted: 5556
% 96.01/96.40 Deletedinuse: 216
% 96.01/96.40
% 96.01/96.40 Resimplifying inuse:
% 96.01/96.40 Done
% 96.01/96.40
% 96.01/96.40 Resimplifying inuse:
% 96.01/96.40 Done
% 96.01/96.40
% 96.01/96.40
% 96.01/96.40 Intermediate Status:
% 96.01/96.40 Generated: 204428
% 96.01/96.40 Kept: 69677
% 96.01/96.40 Inuse: 1325
% 96.01/96.40 Deleted: 5556
% 96.01/96.40 Deletedinuse: 216
% 96.01/96.40
% 96.01/96.40 Resimplifying inuse:
% 96.01/96.40 Done
% 96.01/96.40
% 96.01/96.40 *** allocated 4378860 integers for clauses
% 96.01/96.40
% 96.01/96.40 Intermediate Status:
% 96.01/96.40 Generated: 214460
% 96.01/96.40 Kept: 74687
% 96.01/96.40 Inuse: 1360
% 96.01/96.40 Deleted: 5556
% 96.01/96.40 Deletedinuse: 216
% 96.01/96.40
% 96.01/96.40 Resimplifying inuse:
% 96.01/96.40 Done
% 96.01/96.40
% 96.01/96.40
% 96.01/96.40 Intermediate Status:
% 96.01/96.40 Generated: 222542
% 96.01/96.40 Kept: 76889
% 96.01/96.40 Inuse: 1365
% 96.01/96.40 Deleted: 5556
% 96.01/96.40 Deletedinuse: 216
% 96.01/96.40
% 96.01/96.40 Resimplifying inuse:
% 96.01/96.40 Done
% 96.01/96.40
% 96.01/96.40
% 96.01/96.40 Intermediate Status:
% 96.01/96.40 Generated: 228070
% 96.01/96.40 Kept: 79449
% 96.01/96.40 Inuse: 1390
% 96.01/96.40 Deleted: 5556
% 96.01/96.40 Deletedinuse: 216
% 96.01/96.40
% 96.01/96.40 Resimplifying inuse:
% 96.01/96.40 Done
% 96.01/96.40
% 96.01/96.40
% 96.01/96.40 Intermediate Status:
% 96.01/96.40 Generated: 235069
% 96.01/96.40 Kept: 83786
% 96.01/96.40 Inuse: 1395
% 96.01/96.40 Deleted: 5556
% 96.01/96.40 Deletedinuse: 216
% 96.01/96.40
% 96.01/96.40 Resimplifying inuse:
% 96.01/96.40 Done
% 96.01/96.40
% 96.01/96.40 Resimplifying clauses:
% 96.01/96.40 Done
% 96.01/96.40
% 96.01/96.40 Resimplifying inuse:
% 96.01/96.40 Done
% 96.01/96.40
% 96.01/96.40
% 96.01/96.40 Intermediate Status:
% 96.01/96.40 Generated: 241033
% 96.01/96.40 Kept: 85822
% 96.01/96.40 Inuse: 1426
% 96.01/96.40 Deleted: 5753
% 96.01/96.40 Deletedinuse: 216
% 96.01/96.40
% 96.01/96.40 Resimplifying inuse:
% 96.01/96.40 Done
% 96.01/96.40
% 96.01/96.40 Resimplifying inuse:
% 96.01/96.40 Done
% 96.01/96.40
% 96.01/96.40
% 96.01/96.40 Intermediate Status:
% 96.01/96.40 Generated: 249245
% 96.01/96.40 Kept: 88808
% 96.01/96.40 Inuse: 1435
% 96.01/96.40 Deleted: 5753
% 96.01/96.40 Deletedinuse: 216
% 96.01/96.40
% 96.01/96.40 Resimplifying inuse:
% 96.01/96.40 Done
% 96.01/96.40
% 96.01/96.40 Resimplifying inuse:
% 96.01/96.40 Done
% 96.01/96.40
% 96.01/96.40
% 96.01/96.40 Intermediate Status:
% 96.01/96.40 Generated: 255116
% 96.01/96.40 Kept: 90835
% 96.01/96.40 Inuse: 1446
% 96.01/96.40 Deleted: 5753
% 96.01/96.40 Deletedinuse: 216
% 96.01/96.40
% 96.01/96.40 Resimplifying inuse:
% 96.01/96.40 Done
% 96.01/96.40
% 96.01/96.40
% 96.01/96.40 Intermediate Status:
% 96.01/96.40 Generated: 264812
% 96.01/96.40 Kept: 94494
% 96.01/96.40 Inuse: 1480
% 96.01/96.40 Deleted: 5753
% 96.01/96.40 Deletedinuse: 216
% 96.01/96.40
% 96.01/96.40 Resimplifying inuse:
% 96.01/96.40 Done
% 96.01/96.40
% 96.01/96.40 Resimplifying inuse:
% 96.01/96.40 Done
% 96.01/96.40
% 96.01/96.40 *** allocated 2919240 integers for termspace/termends
% 96.01/96.40
% 96.01/96.40 Intermediate Status:
% 96.01/96.40 Generated: 271032
% 96.01/96.40 Kept: 96551
% 96.01/96.40 Inuse: 1520
% 96.01/96.40 Deleted: 5761
% 96.01/96.40 Deletedinuse: 221
% 96.01/96.40
% 96.01/96.40 Resimplifying inuse:
% 96.01/96.40 Done
% 96.01/96.40
% 96.01/96.40 Resimplifying inuse:
% 96.01/96.40 Done
% 96.01/96.40
% 96.01/96.40
% 96.01/96.40 Intermediate Status:
% 96.01/96.40 Generated: 288230
% 96.01/96.40 Kept: 99564
% 96.01/96.40 Inuse: 1551
% 96.01/96.40 Deleted: 5765
% 96.01/96.40 Deletedinuse: 224
% 96.01/96.40
% 96.01/96.40 Resimplifying inuse:
% 96.01/96.40 Done
% 96.01/96.40
% 96.01/96.40 Resimplifying inuse:
% 96.01/96.40 Done
% 96.01/96.40
% 96.01/96.40
% 96.01/96.40 Intermediate Status:
% 96.01/96.40 Generated: 299447
% 96.01/96.40 Kept: 101587
% 96.01/96.40 Inuse: 1580
% 96.01/96.40 Deleted: 5765
% 96.01/96.40 Deletedinuse: 224
% 96.01/96.40
% 96.01/96.40 Resimplifying inuse:
% 96.01/96.40 Done
% 96.01/96.40
% 96.01/96.40 Resimplifying inuse:
% 96.01/96.40 Done
% 96.01/96.40
% 96.01/96.40
% 96.01/96.40 Intermediate Status:
% 96.01/96.40 Generated: 311440
% 96.01/96.40 Kept: 104965
% 96.01/96.40 Inuse: 1611
% 96.01/96.40 Deleted: 5765
% 96.01/96.40 Deletedinuse: 224
% 96.01/96.40
% 96.01/96.40 Resimplifying inuse:
% 96.01/96.40 Done
% 96.01/96.40
% 96.01/96.40 Resimplifying clauses:
% 96.01/96.40 Done
% 96.01/96.40
% 96.01/96.40 *** allocated 6568290 integers for clauses
% 96.01/96.40 Resimplifying inuse:
% 96.01/96.40 Done
% 96.01/96.40
% 96.01/96.40
% 96.01/96.40 Intermediate Status:
% 96.01/96.40 Generated: 319845
% 96.01/96.40 Kept: 107018
% 96.01/96.40 Inuse: 1638
% 96.01/96.40 Deleted: 6350
% 96.01/96.40 Deletedinuse: 224
% 96.01/96.40
% 96.01/96.40 Resimplifying inuse:
% 96.01/96.40 Done
% 96.01/96.40
% 96.01/96.40 Resimplifying inuse:
% 96.01/96.40 Done
% 96.01/96.40
% 96.01/96.40
% 96.01/96.40 Intermediate Status:
% 96.01/96.40 Generated: 327571
% 96.01/96.40 Kept: 109033
% 96.01/96.40 Inuse: 1659
% 96.01/96.40 Deleted: 6350
% 96.01/96.40 Deletedinuse: 224
% 96.01/96.40
% 96.01/96.40 Resimplifying inuse:
% 96.01/96.40 Done
% 96.01/96.40
% 96.01/96.40 Resimplifying inuse:
% 96.01/96.40 Done
% 96.01/96.40
% 96.01/96.40
% 96.01/96.40 Intermediate Status:
% 186.28/186.71 Generated: 335260
% 186.28/186.71 Kept: 111196
% 186.28/186.71 Inuse: 1681
% 186.28/186.71 Deleted: 6350
% 186.28/186.71 Deletedinuse: 224
% 186.28/186.71
% 186.28/186.71 Resimplifying inuse:
% 186.28/186.71 Done
% 186.28/186.71
% 186.28/186.71 Resimplifying inuse:
% 186.28/186.71 Done
% 186.28/186.71
% 186.28/186.71
% 186.28/186.71 Intermediate Status:
% 186.28/186.71 Generated: 344070
% 186.28/186.71 Kept: 113205
% 186.28/186.71 Inuse: 1710
% 186.28/186.71 Deleted: 6350
% 186.28/186.71 Deletedinuse: 224
% 186.28/186.71
% 186.28/186.71 Resimplifying inuse:
% 186.28/186.71 Done
% 186.28/186.71
% 186.28/186.71 Resimplifying inuse:
% 186.28/186.71 Done
% 186.28/186.71
% 186.28/186.71
% 186.28/186.71 Intermediate Status:
% 186.28/186.71 Generated: 352070
% 186.28/186.71 Kept: 115409
% 186.28/186.71 Inuse: 1731
% 186.28/186.71 Deleted: 6350
% 186.28/186.71 Deletedinuse: 224
% 186.28/186.71
% 186.28/186.71 Resimplifying inuse:
% 186.28/186.71 Done
% 186.28/186.71
% 186.28/186.71 Resimplifying inuse:
% 186.28/186.71 Done
% 186.28/186.71
% 186.28/186.71
% 186.28/186.71 Intermediate Status:
% 186.28/186.71 Generated: 365757
% 186.28/186.71 Kept: 118584
% 186.28/186.71 Inuse: 1756
% 186.28/186.71 Deleted: 6350
% 186.28/186.71 Deletedinuse: 224
% 186.28/186.71
% 186.28/186.71 Resimplifying inuse:
% 186.28/186.71 Done
% 186.28/186.71
% 186.28/186.71 Resimplifying inuse:
% 186.28/186.71 Done
% 186.28/186.71
% 186.28/186.71
% 186.28/186.71 Intermediate Status:
% 186.28/186.71 Generated: 376051
% 186.28/186.71 Kept: 120651
% 186.28/186.71 Inuse: 1766
% 186.28/186.71 Deleted: 6350
% 186.28/186.71 Deletedinuse: 224
% 186.28/186.71
% 186.28/186.71 Resimplifying inuse:
% 186.28/186.71 Done
% 186.28/186.71
% 186.28/186.71 Resimplifying inuse:
% 186.28/186.71 Done
% 186.28/186.71
% 186.28/186.71
% 186.28/186.71 Intermediate Status:
% 186.28/186.71 Generated: 384433
% 186.28/186.71 Kept: 122703
% 186.28/186.71 Inuse: 1786
% 186.28/186.71 Deleted: 6350
% 186.28/186.71 Deletedinuse: 224
% 186.28/186.71
% 186.28/186.71 Resimplifying inuse:
% 186.28/186.71 Done
% 186.28/186.71
% 186.28/186.71 Resimplifying inuse:
% 186.28/186.71 Done
% 186.28/186.71
% 186.28/186.71
% 186.28/186.71 Intermediate Status:
% 186.28/186.71 Generated: 393000
% 186.28/186.71 Kept: 124705
% 186.28/186.71 Inuse: 1812
% 186.28/186.71 Deleted: 6350
% 186.28/186.71 Deletedinuse: 224
% 186.28/186.71
% 186.28/186.71 Resimplifying clauses:
% 186.28/186.71 Done
% 186.28/186.71
% 186.28/186.71 Resimplifying inuse:
% 186.28/186.71 Done
% 186.28/186.71
% 186.28/186.71
% 186.28/186.71 Intermediate Status:
% 186.28/186.71 Generated: 400960
% 186.28/186.71 Kept: 126788
% 186.28/186.71 Inuse: 1831
% 186.28/186.71 Deleted: 6846
% 186.28/186.71 Deletedinuse: 224
% 186.28/186.71
% 186.28/186.71 Resimplifying inuse:
% 186.28/186.71 Done
% 186.28/186.71
% 186.28/186.71 Resimplifying inuse:
% 186.28/186.71 Done
% 186.28/186.71
% 186.28/186.71
% 186.28/186.71 Intermediate Status:
% 186.28/186.71 Generated: 410207
% 186.28/186.71 Kept: 128800
% 186.28/186.71 Inuse: 1859
% 186.28/186.71 Deleted: 6846
% 186.28/186.71 Deletedinuse: 224
% 186.28/186.71
% 186.28/186.71 Resimplifying inuse:
% 186.28/186.71 Done
% 186.28/186.71
% 186.28/186.71 Resimplifying inuse:
% 186.28/186.71 Done
% 186.28/186.71
% 186.28/186.71
% 186.28/186.71 Intermediate Status:
% 186.28/186.71 Generated: 417224
% 186.28/186.71 Kept: 131104
% 186.28/186.71 Inuse: 1876
% 186.28/186.71 Deleted: 6846
% 186.28/186.71 Deletedinuse: 224
% 186.28/186.71
% 186.28/186.71 Resimplifying inuse:
% 186.28/186.71 Done
% 186.28/186.71
% 186.28/186.71 Resimplifying inuse:
% 186.28/186.71 Done
% 186.28/186.71
% 186.28/186.71
% 186.28/186.71 Intermediate Status:
% 186.28/186.71 Generated: 432228
% 186.28/186.71 Kept: 133890
% 186.28/186.71 Inuse: 1891
% 186.28/186.71 Deleted: 6846
% 186.28/186.71 Deletedinuse: 224
% 186.28/186.71
% 186.28/186.71 Resimplifying inuse:
% 186.28/186.71 Done
% 186.28/186.71
% 186.28/186.71 Resimplifying inuse:
% 186.28/186.71 Done
% 186.28/186.71
% 186.28/186.71
% 186.28/186.71 Intermediate Status:
% 186.28/186.71 Generated: 441234
% 186.28/186.71 Kept: 135927
% 186.28/186.71 Inuse: 1925
% 186.28/186.71 Deleted: 6846
% 186.28/186.71 Deletedinuse: 224
% 186.28/186.71
% 186.28/186.71 *** allocated 4378860 integers for termspace/termends
% 186.28/186.71 Resimplifying inuse:
% 186.28/186.71 Done
% 186.28/186.71
% 186.28/186.71 Resimplifying inuse:
% 186.28/186.71 Done
% 186.28/186.71
% 186.28/186.71
% 186.28/186.71 Intermediate Status:
% 186.28/186.71 Generated: 448140
% 186.28/186.71 Kept: 137940
% 186.28/186.71 Inuse: 1942
% 186.28/186.71 Deleted: 6846
% 186.28/186.71 Deletedinuse: 224
% 186.28/186.71
% 186.28/186.71 Resimplifying inuse:
% 186.28/186.71 Done
% 186.28/186.71
% 186.28/186.71 Resimplifying inuse:
% 186.28/186.71 Done
% 186.28/186.71
% 186.28/186.71
% 186.28/186.71 Intermediate Status:
% 186.28/186.71 Generated: 456037
% 186.28/186.71 Kept: 139945
% 186.28/186.71 Inuse: 1965
% 186.28/186.71 Deleted: 6846
% 186.28/186.71 Deletedinuse: 224
% 186.28/186.71
% 186.28/186.71 Resimplifying inuse:
% 186.28/186.71 Done
% 186.28/186.71
% 186.28/186.71
% 186.28/186.71 Intermediate Status:
% 186.28/186.71 Generated: 467920
% 186.28/186.71 Kept: 144650
% 186.28/186.71 Inuse: 1986
% 186.28/186.71 Deleted: 6846
% 186.28/186.71 Deletedinuse: 224
% 186.28/186.71
% 186.28/186.71 Resimplifying inuse:
% 186.28/186.71 Done
% 186.28/186.71
% 186.28/186.71
% 186.28/186.71 Intermediate Status:
% 186.28/186.71 Generated: 474411
% 186.28/186.71 Kept: 148324
% 186.28/186.71 Inuse: 1991
% 186.28/186.71 Deleted: 6846
% 186.28/186.71 Deletedinuse: 224
% 186.28/186.71
% 186.28/186.71 Resimplifying inuse:
% 186.28/186.71 Done
% 186.28/186.71
% 186.28/186.71 Resimplifying clauses:
% 186.28/186.71 Done
% 186.28/186.71
% 186.28/186.71
% 186.28/186.71 Intermediate Status:
% 186.28/186.71 Generated: 481006
% 186.28/186.71 Kept: 152038
% 186.28/186.71 Inuse: 1996
% 186.28/186.71 Deleted: 7266
% 186.28/186.71 Deletedinuse: 224
% 186.28/186.71
% 186.28/186.71 Resimplifying inuse:
% 186.28/186.71 Done
% 186.28/186.71
% 186.28/186.71 Resimplifying inuse:
% 186.28/186.71 Done
% 186.28/186.71
% 186.28/186.71
% 186.28/186.71 Intermediate Status:
% 186.28/186.71 Generated: 491162
% 186.28/186.71 Kept: 154063
% 186.28/186.71 Inuse: 2024
% 186.28/186.71 Deleted: 7267
% 186.28/186.71 Deletedinuse: 225
% 186.28/186.71
% 186.28/186.71 Resimplifying inuse:
% 186.28/186.71 Done
% 186.28/186.71
% 186.28/186.71 Resimplifying inuse:
% 186.28/186.71 Done
% 186.28/186.71
% 186.28/186.71
% 186.28/186.71 Intermediate Status:
% 186.28/186.71 Generated: 500545
% 186.28/186.71 Kept: 156073
% 186.28/186.71 Inuse: 2046
% 186.28/186.71 Deleted: 7268
% 186.28/186.71 Deletedinuse: 226
% 186.28/186.71
% 186.28/186.71 Resimplifying inuse:
% 186.28/186.71 Done
% 186.28/186.71
% 186.28/186.71 Resimplifying inuse:
% 186.28/186.71 Done
% 186.28/186.71
% 186.28/186.71
% 186.28/186.71 Intermediate Status:
% 186.28/186.71 Generated: 510253
% 186.28/186.71 Kept: 158115
% 186.28/186.71 Inuse: 2072
% 186.28/186.71 Deleted: 7268
% 186.28/186.71 Deletedinuse: 226
% 186.28/186.71
% 186.28/186.71 *** allocated 9852435 integers for clauses
% 186.28/186.71 Resimplifying inuse:
% 186.28/186.71 Done
% 186.28/186.71
% 186.28/186.71 Resimplifying inuse:
% 186.28/186.71 Done
% 186.28/186.71
% 186.28/186.71
% 186.28/186.71 Intermediate Status:
% 186.28/186.71 Generated: 520288
% 186.28/186.71 Kept: 160166
% 186.28/186.71 Inuse: 2098
% 186.28/186.71 Deleted: 7268
% 186.28/186.71 Deletedinuse: 226
% 186.28/186.71
% 186.28/186.71 Resimplifying inuse:
% 186.28/186.71 Done
% 186.28/186.71
% 186.28/186.71 Resimplifying inuse:
% 186.28/186.71 Done
% 186.28/186.71
% 186.28/186.71
% 186.28/186.71 Intermediate Status:
% 186.28/186.71 Generated: 530002
% 186.28/186.71 Kept: 162201
% 186.28/186.71 Inuse: 2126
% 186.28/186.71 Deleted: 7268
% 186.28/186.71 Deletedinuse: 226
% 186.28/186.71
% 186.28/186.71 Resimplifying inuse:
% 186.28/186.71 Done
% 186.28/186.71
% 186.28/186.71 Resimplifying inuse:
% 186.28/186.71 Done
% 186.28/186.71
% 186.28/186.71
% 186.28/186.71 Intermediate Status:
% 186.28/186.71 Generated: 539321
% 186.28/186.71 Kept: 164226
% 186.28/186.71 Inuse: 2156
% 186.28/186.71 Deleted: 7273
% 186.28/186.71 Deletedinuse: 231
% 186.28/186.71
% 186.28/186.71 Resimplifying inuse:
% 186.28/186.71 Done
% 186.28/186.71
% 186.28/186.71
% 186.28/186.71 Intermediate Status:
% 186.28/186.71 Generated: 561898
% 186.28/186.71 Kept: 169491
% 186.28/186.71 Inuse: Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------