TSTP Solution File: SWW174+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWW174+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 23:21:01 EDT 2022
% Result : Theorem 3.09s 3.49s
% Output : Refutation 3.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09 % Problem : SWW174+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.09 % Command : bliksem %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % DateTime : Mon Jun 6 08:04:19 EDT 2022
% 0.08/0.28 % CPUTime :
% 0.90/1.28 *** allocated 10000 integers for termspace/termends
% 0.90/1.28 *** allocated 10000 integers for clauses
% 0.90/1.28 *** allocated 10000 integers for justifications
% 0.90/1.28 *** allocated 15000 integers for termspace/termends
% 0.90/1.28 *** allocated 22500 integers for termspace/termends
% 0.90/1.28 *** allocated 33750 integers for termspace/termends
% 0.90/1.28 Bliksem 1.12
% 0.90/1.28
% 0.90/1.28
% 0.90/1.28 Automatic Strategy Selection
% 0.90/1.28
% 0.90/1.28 *** allocated 50625 integers for termspace/termends
% 0.90/1.28 *** allocated 75937 integers for termspace/termends
% 0.90/1.28 *** allocated 113905 integers for termspace/termends
% 0.90/1.28
% 0.90/1.28 Clauses:
% 0.90/1.28
% 0.90/1.28 { c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.90/1.28 c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.28 c_Int_OPls ) ) ) ), c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 0.90/1.28 c_Int_OBit0( c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) =
% 0.90/1.28 c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.90/1.28 c_Int_OBit1( c_Int_OPls ) ) ) ), c_Int_Onumber__class_Onumber__of(
% 0.90/1.28 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.90/1.28 { c_NthRoot_Osqrt( c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y, X ) )
% 0.90/1.28 = c_Power_Opower__class_Opower( tc_RealDef_Oreal, c_NthRoot_Osqrt( Y ),
% 0.90/1.28 X ) }.
% 0.90/1.28 { c_Int_OBit0( c_Int_OPls ) = c_Int_OPls }.
% 0.90/1.28 { ! c_Int_OPls = c_Int_OBit0( X ), c_Int_OPls = X }.
% 0.90/1.28 { ! c_Int_OPls = X, c_Int_OPls = c_Int_OBit0( X ) }.
% 0.90/1.28 { ! c_Int_OBit0( X ) = c_Int_OPls, X = c_Int_OPls }.
% 0.90/1.28 { ! X = c_Int_OPls, c_Int_OBit0( X ) = c_Int_OPls }.
% 0.90/1.28 { ! c_Int_OBit0( Y ) = c_Int_OBit1( X ) }.
% 0.90/1.28 { ! c_Int_OBit1( Y ) = c_Int_OBit0( X ) }.
% 0.90/1.28 { ! c_Int_OPls = c_Int_OBit1( X ) }.
% 0.90/1.28 { ! c_Int_OBit1( X ) = c_Int_OPls }.
% 0.90/1.28 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.90/1.28 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.90/1.28 c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.28 c_Int_OPls ) ) ) ) ) = c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.90/1.28 c_Int_OBit1( c_Int_OPls ) ) ), X ), c_Int_Onumber__class_Onumber__of(
% 0.90/1.28 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.90/1.28 { ! class_Groups_Omonoid__mult( X ), ! class_Int_Onumber( X ),
% 0.90/1.28 c_Power_Opower__class_Opower( X, c_Int_Onumber__class_Onumber__of( X, Y )
% 0.90/1.28 , c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1
% 0.90/1.28 ( c_Int_OPls ) ) ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( X, Y ),
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.90/1.28 { c_NthRoot_Osqrt( c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.28 c_Int_OPls ) ) ) ) ) = c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) }
% 0.90/1.28 .
% 0.90/1.28 { c_NthRoot_Osqrt( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X )
% 0.90/1.28 ) = c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) }.
% 0.90/1.28 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ) ) =
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.90/1.28 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.90/1.28 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( X, Z ),
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( X, c_Groups_Otimes__class_Otimes(
% 0.90/1.28 tc_Int_Oint, Z, Y ) ) }.
% 0.90/1.28 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Otimes__class_Otimes(
% 0.90/1.28 X, c_Int_Onumber__class_Onumber__of( X, Z ), Y ) ) =
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( tc_Int_Oint, T, Z ) ), Y ) }.
% 0.90/1.28 { c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ),
% 0.90/1.28 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ) ) =
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, Y ) }.
% 0.90/1.28 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Int_OPls, X ) = c_Int_OPls
% 0.90/1.28 }.
% 0.90/1.28 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Int_OBit0( Y ), X ) =
% 0.90/1.28 c_Int_OBit0( c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.90/1.28 { c_NthRoot_Osqrt( c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X
% 0.90/1.28 ) ) = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_NthRoot_Osqrt
% 0.90/1.28 ( Y ), c_NthRoot_Osqrt( X ) ) }.
% 0.90/1.28 { c_NthRoot_Osqrt( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X )
% 0.90/1.28 ) = c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, c_NthRoot_Osqrt( Y
% 0.90/1.28 ), c_NthRoot_Osqrt( X ) ) }.
% 0.90/1.28 { ! class_Fields_Ofield( X ), ! class_Int_Onumber__ring( X ),
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.90/1.28 X, c_Int_OBit1( c_Int_OPls ) ) ) = Y }.
% 0.90/1.28 { ! class_Fields_Ofield( X ), ! class_Int_Onumber__ring( X ),
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.90/1.28 X, c_Int_OBit1( c_Int_OPls ) ) ) = Y }.
% 0.90/1.28 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ), Y ) = Y
% 0.90/1.28 }.
% 0.90/1.28 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ) ) = Y }
% 0.90/1.28 .
% 0.90/1.28 { ! class_Groups_Omonoid__mult( X ), c_Power_Opower__class_Opower( X, Y,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OBit1(
% 0.90/1.28 c_Int_OPls ) ) ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, Y, Y ), Y ) }.
% 0.90/1.28 { ! class_Int_Onumber__ring( X ), ! class_Int_Oring__char__0( X ), !
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( X, Y ), Z = Y }.
% 0.90/1.28 { ! class_Int_Onumber__ring( X ), ! class_Int_Oring__char__0( X ), ! Z = Y
% 0.90/1.28 , c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.90/1.28 { ! class_Int_Onumber( X ), ! c_Int_Onumber__class_Onumber__of( X, Z ) = Y
% 0.90/1.28 , Y = c_Int_Onumber__class_Onumber__of( X, Z ) }.
% 0.90/1.28 { ! class_Int_Onumber( X ), ! Y = c_Int_Onumber__class_Onumber__of( X, Z )
% 0.90/1.28 , c_Int_Onumber__class_Onumber__of( X, Z ) = Y }.
% 0.90/1.28 { ! c_Int_OBit1( Y ) = c_Int_OBit1( X ), Y = X }.
% 0.90/1.28 { ! Y = X, c_Int_OBit1( Y ) = c_Int_OBit1( X ) }.
% 0.90/1.28 { ! c_Int_OBit0( Y ) = c_Int_OBit0( X ), Y = X }.
% 0.90/1.28 { ! Y = X, c_Int_OBit0( Y ) = c_Int_OBit0( X ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__idom( X ), c_Power_Opower__class_Opower( X,
% 0.90/1.28 c_Groups_Oabs__class_Oabs( X, Y ), c_Int_Onumber__class_Onumber__of(
% 0.90/1.28 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) =
% 0.90/1.28 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.90/1.28 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__idom( X ), c_Groups_Oabs__class_Oabs( X,
% 0.90/1.28 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.90/1.28 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) =
% 0.90/1.28 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.90/1.28 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.90/1.28 { ! c_NthRoot_Osqrt( Y ) = c_NthRoot_Osqrt( X ), Y = X }.
% 0.90/1.28 { ! Y = X, c_NthRoot_Osqrt( Y ) = c_NthRoot_Osqrt( X ) }.
% 0.90/1.28 { ! class_Groups_Omonoid__mult( X ), c_Power_Opower__class_Opower( X, Y,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.28 c_Int_OPls ) ) ) ) = c_Groups_Otimes__class_Otimes( X, Y, Y ) }.
% 0.90/1.28 { ! class_Groups_Omonoid__mult( X ), c_Power_Opower__class_Opower( X, Z,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.28 c_Int_OPls ) ) ), Y ) ) = c_Power_Opower__class_Opower( X,
% 0.90/1.28 c_Power_Opower__class_Opower( X, Z, Y ), c_Int_Onumber__class_Onumber__of
% 0.90/1.28 ( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.90/1.28 { ! Z = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.90/1.28 c_Int_OBit1( c_Int_OPls ) ) ), X ) ), c_Groups_Otimes__class_Otimes(
% 0.90/1.28 tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 0.90/1.28 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ), Z ) =
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) }.
% 0.90/1.28 { ! c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.90/1.28 c_Int_OBit1( c_Int_OPls ) ) ), Z ) = c_Rings_Oinverse__class_Odivide(
% 0.90/1.28 tc_RealDef_Oreal, Y, X ), Z = c_Rings_Oinverse__class_Odivide(
% 0.90/1.28 tc_RealDef_Oreal, Y, c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.90/1.28 c_Int_OBit1( c_Int_OPls ) ) ), X ) ) }.
% 0.90/1.28 { ! class_Rings_Ocomm__semiring__1( X ), c_Power_Opower__class_Opower( X, Z
% 0.90/1.28 , c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.28 c_Int_OPls ) ) ), Y ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.90/1.28 c_Power_Opower__class_Opower( X, Z, Y ), c_Power_Opower__class_Opower( X
% 0.90/1.28 , Z, Y ) ) }.
% 0.90/1.28 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.28 Y, Y ) = c_Power_Opower__class_Opower( X, Y,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.28 c_Int_OPls ) ) ) ) }.
% 0.90/1.28 { c_Power_Opower__class_Opower( tc_RealDef_Oreal, c_NthRoot_Osqrt(
% 0.90/1.28 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.90/1.28 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.28 c_Power_Opower__class_Opower( tc_RealDef_Oreal, T,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.28 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Z,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.28 c_Int_OPls ) ) ) ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.28 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.28 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.28 c_Int_OPls ) ) ) ) ) ) ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 0.90/1.28 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) =
% 0.90/1.28 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.90/1.28 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.28 c_Power_Opower__class_Opower( tc_RealDef_Oreal, T,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.28 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Z,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.28 c_Int_OPls ) ) ) ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.28 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.28 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.28 c_Int_OPls ) ) ) ) ) ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field__inverse__zero( X ),
% 0.90/1.28 c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Odivide( X, Z, Y )
% 0.90/1.28 ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oabs__class_Oabs( X, Z
% 0.90/1.28 ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__idom( X ), c_Groups_Oabs__class_Oabs( X,
% 0.90/1.28 c_Power_Opower__class_Opower( X, Z, Y ) ) = c_Power_Opower__class_Opower
% 0.90/1.28 ( X, c_Groups_Oabs__class_Oabs( X, Z ), Y ) }.
% 0.90/1.28 { ! class_Fields_Ofield__inverse__zero( X ), c_Power_Opower__class_Opower(
% 0.90/1.28 X, c_Rings_Oinverse__class_Odivide( X, T, Z ), Y ) =
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( X, c_Power_Opower__class_Opower( X, T, Y
% 0.90/1.28 ), c_Power_Opower__class_Opower( X, Z, Y ) ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__idom( X ), c_Groups_Oabs__class_Oabs( X,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.90/1.28 c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__idom( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.28 c_Groups_Oabs__class_Oabs( X, Y ), c_Groups_Oabs__class_Oabs( X, Y ) ) =
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, Y, Y ) }.
% 0.90/1.28 { ! class_Int_Onumber__ring( X ), c_Power_Opower__class_Opower( X,
% 0.90/1.28 c_Groups_Oplus__class_Oplus( X, Z, Y ), c_Int_Onumber__class_Onumber__of
% 0.90/1.28 ( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) =
% 0.90/1.28 c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X,
% 0.90/1.28 c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.90/1.28 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.90/1.28 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.90/1.28 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ),
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.90/1.28 ) ) ), Z ), Y ) ) }.
% 0.90/1.28 { ! class_Rings_Odivision__ring( X ), c_Groups_Otimes__class_Otimes( X, T,
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.90/1.28 Z ), Y ) }.
% 0.90/1.28 { ! class_Fields_Ofield__inverse__zero( X ), c_Groups_Otimes__class_Otimes
% 0.90/1.28 ( X, c_Rings_Oinverse__class_Odivide( X, U, T ),
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( X, c_Groups_Otimes__class_Otimes( X, U,
% 0.90/1.28 Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.90/1.28 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) =
% 0.90/1.28 c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y ) }.
% 0.90/1.28 { c_Power_Opower__class_Opower( tc_Int_Oint, Z, c_Groups_Oplus__class_Oplus
% 0.90/1.28 ( tc_Nat_Onat, Y, X ) ) = c_Groups_Otimes__class_Otimes( tc_Int_Oint,
% 0.90/1.28 c_Power_Opower__class_Opower( tc_Int_Oint, Z, Y ),
% 0.90/1.28 c_Power_Opower__class_Opower( tc_Int_Oint, Z, X ) ) }.
% 0.90/1.28 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z,
% 0.90/1.28 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) =
% 0.90/1.28 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 0.90/1.28 tc_Int_Oint, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ) )
% 0.90/1.28 }.
% 0.90/1.28 { c_Groups_Otimes__class_Otimes( tc_Int_Oint,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) =
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.90/1.28 { c_Power_Opower__class_Opower( tc_Int_Oint, c_Power_Opower__class_Opower(
% 0.90/1.28 tc_Int_Oint, Z, Y ), X ) = c_Power_Opower__class_Opower( tc_Int_Oint, Z,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.90/1.28 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Otimes__class_Otimes
% 0.90/1.28 ( tc_Int_Oint, Z, Y ), X ) = c_Groups_Otimes__class_Otimes( tc_Int_Oint,
% 0.90/1.28 Z, c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.90/1.28 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.90/1.28 tc_Int_Oint, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ),
% 0.90/1.28 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.90/1.28 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.28 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.90/1.28 , Y ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X
% 0.90/1.28 , U, Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.90/1.28 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.28 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.90/1.28 ( X, c_Groups_Oplus__class_Oplus( X, T, Y ), Z ) }.
% 0.90/1.28 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.28 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.90/1.28 ( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y ) ) }.
% 0.90/1.28 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, T
% 0.90/1.28 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.90/1.28 ( X, c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) }.
% 0.90/1.28 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, T
% 0.90/1.28 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.90/1.28 ( X, Z, c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.90/1.28 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Z
% 0.90/1.28 , Y ) = c_Groups_Oplus__class_Oplus( X, Y, Z ) }.
% 0.90/1.28 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Oplus__class_Oplus( X
% 0.90/1.28 , c_Int_Onumber__class_Onumber__of( X, Z ), Y ) ) =
% 0.90/1.28 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.90/1.28 c_Groups_Oplus__class_Oplus( tc_Int_Oint, T, Z ) ), Y ) }.
% 0.90/1.28 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( X, Z ),
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.90/1.28 tc_Int_Oint, Z, Y ) ) }.
% 0.90/1.28 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.90/1.28 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, Y ) ) =
% 0.90/1.28 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X, Z )
% 0.90/1.28 , c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.90/1.28 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.90/1.28 ( X ), ! c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.90/1.28 , U, T ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.90/1.28 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Y )
% 0.90/1.28 , c_Groups_Otimes__class_Otimes( X, Z, T ) ), U = Z, T = Y }.
% 0.90/1.28 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.90/1.28 ( X ), ! U = Z, c_Groups_Oplus__class_Oplus( X,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.90/1.28 X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, U, Y ), c_Groups_Otimes__class_Otimes(
% 0.90/1.28 X, Z, T ) ) }.
% 0.90/1.28 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.90/1.28 ( X ), ! T = Y, c_Groups_Oplus__class_Oplus( X,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.90/1.28 X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, U, Y ), c_Groups_Otimes__class_Otimes(
% 0.90/1.28 X, Z, T ) ) }.
% 0.90/1.28 { ! class_Rings_Osemiring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Oplus__class_Oplus( X
% 0.90/1.28 , c_Groups_Otimes__class_Otimes( X, Z, T ), Y ) ) =
% 0.90/1.28 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.28 c_Groups_Oplus__class_Oplus( X, U, Z ), T ), Y ) }.
% 0.90/1.28 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Groups_Otimes__class_Otimes(
% 0.90/1.28 X, Y, Z ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.90/1.28 c_Groups_Oplus__class_Oplus( X, T, Y ), Z ) }.
% 0.90/1.28 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.28 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.90/1.28 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.90/1.28 { ! class_Rings_Ocomm__semiring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.28 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.90/1.28 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.90/1.28 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.90/1.28 ( X ), U = T, Z = Y, ! c_Groups_Oplus__class_Oplus( X,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.90/1.28 X, T, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, U, Y ), c_Groups_Otimes__class_Otimes(
% 0.90/1.28 X, T, Z ) ) }.
% 0.90/1.28 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.90/1.28 ( X ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.28 U, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) =
% 0.90/1.28 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Y )
% 0.90/1.28 , c_Groups_Otimes__class_Otimes( X, T, Z ) ), ! U = T }.
% 0.90/1.28 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.90/1.28 ( X ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.28 U, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) =
% 0.90/1.28 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Y )
% 0.90/1.28 , c_Groups_Otimes__class_Otimes( X, T, Z ) ), ! Z = Y }.
% 0.90/1.28 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.28 T, c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.90/1.28 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.90/1.28 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.90/1.28 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.90/1.28 ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ),
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.90/1.28 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OPls, X ) = X }.
% 0.90/1.28 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Int_OPls ) = X }.
% 0.90/1.28 { c_Int_OBit0( X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, X ) }.
% 0.90/1.28 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0(
% 0.90/1.28 X ) ) = c_Int_OBit0( c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }
% 0.90/1.28 .
% 0.90/1.28 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.28 c_Power_Opower__class_Opower( X, T, Z ), c_Power_Opower__class_Opower( X
% 0.90/1.28 , T, Y ) ) = c_Power_Opower__class_Opower( X, T,
% 0.90/1.28 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) ) }.
% 0.90/1.28 { ! class_Groups_Omonoid__mult( X ), c_Power_Opower__class_Opower( X, T,
% 0.90/1.28 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) ) =
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, c_Power_Opower__class_Opower( X, T, Z )
% 0.90/1.28 , c_Power_Opower__class_Opower( X, T, Y ) ) }.
% 0.90/1.28 { ! class_Int_Onumber( X ), ! class_Rings_Osemiring( X ),
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.90/1.28 , c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.90/1.28 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Groups_Otimes__class_Otimes
% 0.90/1.28 ( X, Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.90/1.28 { ! class_Int_Onumber( X ), ! class_Rings_Osemiring( X ),
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.90/1.28 ), c_Groups_Oplus__class_Oplus( X, Z, Y ) ) =
% 0.90/1.28 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( X, T ), Z ),
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.90/1.28 ), Y ) ) }.
% 0.90/1.28 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X, Y,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ) ) = Y }.
% 0.90/1.28 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ), Y ) = Y }.
% 0.90/1.28 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1(
% 0.90/1.28 X ) ) = c_Int_OBit1( c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }
% 0.90/1.28 .
% 0.90/1.28 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0(
% 0.90/1.28 X ) ) = c_Int_OBit1( c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }
% 0.90/1.28 .
% 0.90/1.28 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Int_OBit1( Y ), X ) =
% 0.90/1.28 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit0(
% 0.90/1.28 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ), X ) }.
% 0.90/1.28 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.90/1.28 X, Z, Y ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.90/1.28 X, T, Y ) ) }.
% 0.90/1.28 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.90/1.28 X, Z, Y ) ) = c_Groups_Otimes__class_Otimes( X, Z,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, U, T
% 0.90/1.28 ), Y ) ) }.
% 0.90/1.28 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.90/1.28 X, Z, Y ) ) = c_Groups_Otimes__class_Otimes( X, U,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.90/1.28 , Y ) ) ) }.
% 0.90/1.28 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, T, Y
% 0.90/1.28 ), Z ) }.
% 0.90/1.28 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.90/1.28 , Y ) ) }.
% 0.90/1.28 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.28 T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.90/1.28 ), Y ) }.
% 0.90/1.28 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.28 T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Otimes__class_Otimes( X, T
% 0.90/1.28 , Y ) ) }.
% 0.90/1.28 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.28 Z, Y ) = c_Groups_Otimes__class_Otimes( X, Y, Z ) }.
% 0.90/1.28 { ! class_Groups_Omonoid__mult( X ), c_Power_Opower__class_Opower( X, T,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) ) =
% 0.90/1.28 c_Power_Opower__class_Opower( X, c_Power_Opower__class_Opower( X, T, Z )
% 0.90/1.28 , Y ) }.
% 0.90/1.28 { ! class_Rings_Ocomm__semiring__1( X ), c_Power_Opower__class_Opower( X,
% 0.90/1.28 c_Power_Opower__class_Opower( X, T, Z ), Y ) =
% 0.90/1.28 c_Power_Opower__class_Opower( X, T, c_Groups_Otimes__class_Otimes(
% 0.90/1.28 tc_Nat_Onat, Z, Y ) ) }.
% 0.90/1.28 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.28 c_Int_OPls ) ) ) ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, X ) }.
% 0.90/1.28 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.28 c_Int_OPls ) ) ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, X )
% 0.90/1.28 }.
% 0.90/1.28 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.90/1.28 ) ) ) ) = c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 0.90/1.28 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.90/1.28 ) ) ), Y ) = c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 0.90/1.28 { ! class_Groups_Omonoid__mult( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.28 c_Power_Opower__class_Opower( X, Z, Y ), Z ) =
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, Z, c_Power_Opower__class_Opower( X, Z,
% 0.90/1.28 Y ) ) }.
% 0.90/1.28 { ! class_Groups_Ocomm__monoid__mult( X ), c_Power_Opower__class_Opower( X
% 0.90/1.28 , c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, c_Power_Opower__class_Opower( X, T, Y )
% 0.90/1.28 , c_Power_Opower__class_Opower( X, Z, Y ) ) }.
% 0.90/1.28 { ! class_Rings_Ocomm__semiring__1( X ), c_Power_Opower__class_Opower( X,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, c_Power_Opower__class_Opower( X, T, Y )
% 0.90/1.28 , c_Power_Opower__class_Opower( X, Z, Y ) ) }.
% 0.90/1.28 { c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.90/1.28 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.28 c_Int_OPls ) ) ) ) = c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.28 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.28 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.28 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.28 c_Int_OPls ) ) ) ) ), c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.90/1.28 c_Int_OBit1( c_Int_OPls ) ) ), Y ), X ) ) }.
% 0.90/1.28 { c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.90/1.28 c_Int_OBit1( c_Int_OPls ) ) ) ), c_Rings_Oinverse__class_Odivide(
% 0.90/1.28 tc_RealDef_Oreal, X, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 0.90/1.28 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) = X }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.28 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ),
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, c_NthRoot_Osqrt(
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.90/1.28 c_Int_OBit1( c_Int_OPls ) ) ) ) ) ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.28 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Z ),
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, c_NthRoot_Osqrt(
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.90/1.28 c_Int_OBit1( c_Int_OPls ) ) ) ) ) ), c_Orderings_Oord__class_Oless(
% 0.90/1.28 tc_RealDef_Oreal, c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus(
% 0.90/1.28 tc_RealDef_Oreal, c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.28 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Z,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.28 c_Int_OPls ) ) ) ) ) ), X ) }.
% 0.90/1.28 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.28 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ), c_NthRoot_Osqrt(
% 0.90/1.28 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.28 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.28 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.28 c_Int_OPls ) ) ) ) ) ) ) }.
% 0.90/1.28 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.28 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ), c_NthRoot_Osqrt(
% 0.90/1.28 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.28 c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.28 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.28 c_Int_OPls ) ) ) ) ) ) ) }.
% 0.90/1.28 { ! c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.28 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.28 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.28 c_Int_OPls ) ) ) ) ) ) = Y, X = c_Groups_Ozero__class_Ozero(
% 0.90/1.28 tc_RealDef_Oreal ) }.
% 0.90/1.28 { ! c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.28 c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.28 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.28 c_Int_OPls ) ) ) ) ) ) = Y, X = c_Groups_Ozero__class_Ozero(
% 0.90/1.28 tc_RealDef_Oreal ) }.
% 0.90/1.28 { ! class_Int_Onumber__ring( X ), c_Power_Opower__class_Opower( X,
% 0.90/1.28 c_Groups_Ominus__class_Ominus( X, Z, Y ),
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.28 c_Int_OPls ) ) ) ) = c_Groups_Ominus__class_Ominus( X,
% 0.90/1.28 c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.28 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.28 c_Int_OPls ) ) ) ) ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 0.90/1.28 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ), Z ), Y ) ) }.
% 0.90/1.28 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, c_NthRoot_Osqrt(
% 0.90/1.28 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.28 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.28 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.28 c_Int_OPls ) ) ) ) ) ) ) }.
% 0.90/1.28 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, c_NthRoot_Osqrt(
% 0.90/1.28 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.28 c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.28 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.28 c_Int_OPls ) ) ) ) ) ) ) }.
% 0.90/1.28 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_NthRoot_Osqrt(
% 0.90/1.28 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.28 c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.90/1.28 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, T, Z ),
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.28 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.90/1.28 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.28 c_Int_OPls ) ) ) ) ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.28 c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.28 c_Power_Opower__class_Opower( tc_RealDef_Oreal, T,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.28 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.28 c_Int_OPls ) ) ) ) ) ), c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus(
% 0.90/1.28 tc_RealDef_Oreal, c_Power_Opower__class_Opower( tc_RealDef_Oreal, Z,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.28 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.28 c_Int_OPls ) ) ) ) ) ) ) ) }.
% 0.90/1.28 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.90/1.28 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_NthRoot_Osqrt(
% 0.90/1.28 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.90/1.28 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) ), Y ),
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.90/1.28 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.90/1.28 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.90/1.28 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_NthRoot_Osqrt(
% 0.90/1.28 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.90/1.28 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) ), Y ),
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.90/1.28 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.90/1.28 { ! v_y____ = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.90/1.28 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) =
% 0.90/1.28 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Y ) }.
% 0.90/1.28 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, c_Groups_Oplus__class_Oplus
% 0.90/1.28 ( tc_Int_Oint, Y, X ) ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 0.90/1.28 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, X ) ) }.
% 0.90/1.28 { c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) =
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.90/1.28 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 0.90/1.28 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.90/1.28 tc_Int_Oint, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z,
% 0.90/1.28 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.90/1.28 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.90/1.28 , Y, T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.90/1.28 ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Y
% 0.90/1.28 , T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.28 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.28 , Z ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.90/1.28 ( X ), c_Rings_Oinverse__class_Odivide( X, Y, Z ) ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.28 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.90/1.28 ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 0.90/1.28 X ) ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.28 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, Y, Z ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.90/1.28 ! c_Orderings_Oord__class_Oless( X, T, U ), c_Orderings_Oord__class_Oless
% 0.90/1.28 ( X, c_Rings_Oinverse__class_Odivide( X, Y, U ),
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.28 ), ! c_Orderings_Oord__class_Oless( X, Y, Z ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.90/1.28 ! c_Orderings_Oord__class_Oless__eq( X, T, U ),
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Y,
% 0.90/1.28 U ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.28 ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.90/1.28 ! c_Orderings_Oord__class_Oless__eq( X, T, U ),
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.90/1.28 , Y, U ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.90/1.28 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.90/1.28 , Y, T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.90/1.28 ! c_Orderings_Oord__class_Oless__eq( X, Z, T ),
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Y
% 0.90/1.28 , T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.28 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.28 , Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 0.90/1.28 X ) ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.28 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.90/1.28 ) ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.90/1.28 X ), c_Rings_Oinverse__class_Odivide( X, Y, Z ) ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.90/1.28 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), Z ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.28 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), T ),
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Power_Opower__class_Opower( X, Z, T )
% 0.90/1.28 , c_Power_Opower__class_Opower( X, Y, T ) ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.90/1.28 ( X, U, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.90/1.28 ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.90/1.28 , U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.90/1.28 ( X, U, T ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.90/1.28 ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.90/1.28 , U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.90/1.28 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.28 , U ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X
% 0.90/1.28 , Z, U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, U, T ), ! c_Orderings_Oord__class_Oless
% 0.90/1.28 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.90/1.28 ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.90/1.28 , U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.90/1.28 ( X, c_Power_Opower__class_Opower( X, Z, T ),
% 0.90/1.28 c_Power_Opower__class_Opower( X, Y, T ) ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.28 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__semiring( X ), ! c_Orderings_Oord__class_Oless
% 0.90/1.28 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, Y, Z ) ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.90/1.28 ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.90/1.28 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.90/1.28 ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__semiring( X ), ! c_Orderings_Oord__class_Oless
% 0.90/1.28 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, T, Y ) ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.90/1.28 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.90/1.28 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.90/1.28 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 0.90/1.28 , Z ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 0.90/1.28 , Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__idom( X ), Z = Y,
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.90/1.28 X, Y, Z ) }.
% 0.90/1.28 { c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) = X }.
% 0.90/1.28 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.90/1.28 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Z, Y ) ) =
% 0.90/1.28 c_Groups_Ominus__class_Ominus( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.90/1.28 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.90/1.28 { ! class_Int_Onumber( X ), ! class_Orderings_Olinorder( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.90/1.28 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.90/1.28 ), c_Int_Onumber__class_Onumber__of( X, Z ) ) }.
% 0.90/1.28 { ! class_Int_Onumber( X ), ! class_Orderings_Olinorder( X ),
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.90/1.28 ), c_Int_Onumber__class_Onumber__of( X, Z ) ),
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.90/1.28 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.90/1.28 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.90/1.28 ), c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.90/1.28 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, Y ) }.
% 0.90/1.28 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, Y ),
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.90/1.28 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.90/1.28 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.90/1.28 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z, Y ) }.
% 0.90/1.28 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z, Y ),
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.90/1.28 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.90/1.28 ( X, T, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.90/1.28 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, T, Z ) ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.90/1.28 ( X, T, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.90/1.28 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, Z, T ) ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__comm__semiring__strict( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.90/1.28 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.90/1.28 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.90/1.28 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.90/1.28 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.90/1.28 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.90/1.28 ( X, c_Groups_Otimes__class_Otimes( X, Z, T ),
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.90/1.28 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.90/1.28 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.90/1.28 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.90/1.28 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.90/1.28 Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.90/1.28 ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.90/1.28 T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.90/1.28 ! c_Orderings_Oord__class_Oless( X, Z, T ), c_Orderings_Oord__class_Oless
% 0.90/1.28 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ) }
% 0.90/1.28 .
% 0.90/1.28 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ) }
% 0.90/1.28 .
% 0.90/1.28 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.90/1.28 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.90/1.28 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.90/1.28 Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.90/1.28 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.90/1.28 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.90/1.28 Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.90/1.28 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.90/1.28 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.90/1.28 ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.90/1.28 T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, T, Z ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.90/1.28 ! c_Orderings_Oord__class_Oless( X, T, Z ), c_Orderings_Oord__class_Oless
% 0.90/1.28 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.90/1.28 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ), alpha1( X, Y, Z, T ),
% 0.90/1.28 alpha34( X, Y, Z, T ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha1( X, Y, Z, T ),
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.90/1.28 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha34( X, Y, Z, T ),
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.90/1.28 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.90/1.28 { ! alpha34( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.28 { ! alpha34( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Ozero__class_Ozero( X ) )
% 0.90/1.28 , ! c_Orderings_Oord__class_Oless( X, Y, Z ), alpha34( X, Y, Z, T ) }.
% 0.90/1.28 { ! alpha1( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), T ) }.
% 0.90/1.28 { ! alpha1( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T )
% 0.90/1.28 , ! c_Orderings_Oord__class_Oless( X, Z, Y ), alpha1( X, Y, Z, T ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.90/1.28 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ), alpha2( X, Y, Z, T ),
% 0.90/1.28 alpha35( X, Y, Z, T ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha2( X, Y, Z, T ),
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.90/1.28 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha35( X, Y, Z, T ),
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.90/1.28 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.90/1.28 { ! alpha35( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.28 { ! alpha35( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Y, T ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.90/1.28 , ! c_Orderings_Oord__class_Oless( X, Y, T ), alpha35( X, Y, Z, T ) }.
% 0.90/1.28 { ! alpha2( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.90/1.28 { ! alpha2( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.90/1.28 , ! c_Orderings_Oord__class_Oless( X, T, Y ), alpha2( X, Y, Z, T ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__ring( X ), ! c_Orderings_Oord__class_Oless( X
% 0.90/1.28 , c_Groups_Otimes__class_Otimes( X, Y, Y ), c_Groups_Ozero__class_Ozero(
% 0.90/1.28 X ) ) }.
% 0.90/1.28 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.90/1.28 ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.28 , c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero(
% 0.90/1.28 X ) ) }.
% 0.90/1.28 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.28 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.90/1.28 X ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero( X
% 0.90/1.28 ) ) }.
% 0.90/1.28 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.28 , c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.28 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.90/1.28 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.90/1.28 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.28 , Z, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.28 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.90/1.28 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.90/1.28 { ! class_Rings_Oordered__semiring( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.28 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.90/1.28 X ), U ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, Z, U ), c_Groups_Otimes__class_Otimes(
% 0.90/1.28 X, Y, T ) ) }.
% 0.90/1.28 { ! class_Rings_Oordered__semiring( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.90/1.28 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.90/1.28 X ), U ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, Z, U ), c_Groups_Otimes__class_Otimes(
% 0.90/1.28 X, Y, T ) ) }.
% 0.90/1.28 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.28 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.28 , c_Groups_Otimes__class_Otimes( X, T, Y ), c_Groups_Otimes__class_Otimes
% 0.90/1.28 ( X, T, Z ) ) }.
% 0.90/1.28 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.28 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.28 , c_Groups_Otimes__class_Otimes( X, Y, T ), c_Groups_Otimes__class_Otimes
% 0.90/1.28 ( X, Z, T ) ) }.
% 0.90/1.28 { ! class_Rings_Oordered__comm__semiring( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.90/1.28 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 0.90/1.28 X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.90/1.28 { ! class_Rings_Oordered__semiring( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.90/1.28 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 0.90/1.28 X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.90/1.28 { ! class_Rings_Oordered__semiring( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.90/1.28 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 0.90/1.28 X, Z, T ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.90/1.28 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.28 , Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.28 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.90/1.28 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.90/1.28 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.28 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.90/1.28 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, Y, Z ), c_Groups_Ozero__class_Ozero( X
% 0.90/1.28 ) ) }.
% 0.90/1.28 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.28 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.28 , c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero(
% 0.90/1.28 X ) ) }.
% 0.90/1.28 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.28 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.28 , c_Groups_Otimes__class_Otimes( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 0.90/1.28 X ) ) }.
% 0.90/1.28 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.28 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.90/1.28 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Y, Z
% 0.90/1.28 ) ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.90/1.28 , Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha3( X, Y, Z ), alpha36( X
% 0.90/1.28 , Y, Z ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha3( X, Y, Z ),
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.90/1.28 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha36( X, Y, Z ),
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.90/1.28 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.28 { ! alpha36( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.28 { ! alpha36( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.90/1.28 ) ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.90/1.28 ( X ), Y ), alpha36( X, Y, Z ) }.
% 0.90/1.28 { ! alpha3( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.90/1.28 { ! alpha3( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.28 , Z ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) ), alpha3( X, Y, Z ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), alpha4( X, Y, Z ), alpha37( X
% 0.90/1.28 , Y, Z ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha4( X, Y, Z ),
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha37( X, Y, Z ),
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.90/1.28 { ! alpha37( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.28 { ! alpha37( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.90/1.28 ) ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) ), alpha37( X, Y, Z ) }.
% 0.90/1.28 { ! alpha4( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.90/1.28 { ! alpha4( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.28 , Z ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), Y ), alpha4( X, Y, Z ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__ring( X ), c_Orderings_Oord__class_Oless__eq(
% 0.90/1.28 X, c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Y
% 0.90/1.28 , Y ) ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.90/1.28 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, T, Z ), c_Orderings_Oord__class_Oless(
% 0.90/1.28 X, T, c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.90/1.28 , c_Groups_Oplus__class_Oplus( X, Y, Y ), c_Groups_Ozero__class_Ozero( X
% 0.90/1.28 ) ), c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X
% 0.90/1.28 ) ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.90/1.28 , Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.90/1.28 , c_Groups_Oplus__class_Oplus( X, Y, Y ), c_Groups_Ozero__class_Ozero( X
% 0.90/1.28 ) ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.90/1.28 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless
% 0.90/1.28 ( X, c_Groups_Ozero__class_Ozero( X ), c_Power_Opower__class_Opower( X, Y
% 0.90/1.28 , Z ) ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__semidom( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.90/1.28 ), c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X
% 0.90/1.28 , Z, T ), c_Power_Opower__class_Opower( X, Y, T ) ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__semidom( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.28 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.90/1.28 ), c_Power_Opower__class_Opower( X, Y, Z ) ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.28 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( X, Y, T ),
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.28 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( X, Z, T ),
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( X, Y, T ) ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.28 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.90/1.28 ( X, Z, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.90/1.28 ( X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X
% 0.90/1.28 , Y, Z ) ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.28 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.90/1.28 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless
% 0.90/1.28 ( X, c_Rings_Oinverse__class_Odivide( X, Y, Z ),
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.28 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.90/1.28 ( X, Z, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.90/1.28 ( X, c_Rings_Oinverse__class_Odivide( X, Y, Z ),
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.28 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.90/1.28 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless
% 0.90/1.28 ( X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X
% 0.90/1.28 , Y, Z ) ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Z,
% 0.90/1.28 Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha5( X, Y, Z ), alpha38( X, Y
% 0.90/1.28 , Z ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha5( X, Y, Z
% 0.90/1.28 ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X
% 0.90/1.28 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha38( X, Y, Z
% 0.90/1.28 ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X
% 0.90/1.28 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.28 { ! alpha38( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.28 { ! alpha38( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.90/1.28 , ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.28 ), alpha38( X, Y, Z ) }.
% 0.90/1.28 { ! alpha5( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.90/1.28 { ! alpha5( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.90/1.28 , ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.28 ), alpha5( X, Y, Z ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ), alpha6( X, Y, Z ), alpha39
% 0.90/1.28 ( X, Y, Z ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha6( X, Y, Z
% 0.90/1.28 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha39( X, Y, Z
% 0.90/1.28 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.90/1.28 { ! alpha39( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.28 { ! alpha39( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.90/1.28 , ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.28 ), alpha39( X, Y, Z ) }.
% 0.90/1.28 { ! alpha6( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.90/1.28 { ! alpha6( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.90/1.28 , ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.28 ), alpha6( X, Y, Z ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.28 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.90/1.28 ( X, Y, T ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.90/1.28 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.90/1.28 ( X, Z, T ), c_Rings_Oinverse__class_Odivide( X, Y, T ) ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.90/1.28 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha7( X, Y, Z ), alpha40
% 0.90/1.28 ( X, Y, Z ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha7( X, Y, Z
% 0.90/1.28 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.90/1.28 ( X, Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha40( X, Y, Z
% 0.90/1.28 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.90/1.28 ( X, Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.28 { ! alpha40( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.28 { ! alpha40( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.90/1.28 ) ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.90/1.28 ( X ), Y ), alpha40( X, Y, Z ) }.
% 0.90/1.28 { ! alpha7( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.90/1.28 { ! alpha7( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.28 , Z ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) ), alpha7( X, Y, Z ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ), alpha8( X, Y, Z ), alpha41
% 0.90/1.28 ( X, Y, Z ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha8( X, Y, Z
% 0.90/1.28 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.90/1.28 ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha41( X, Y, Z
% 0.90/1.28 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.90/1.28 ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.90/1.28 { ! alpha41( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.28 { ! alpha41( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.90/1.28 ) ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) ), alpha41( X, Y, Z ) }.
% 0.90/1.28 { ! alpha8( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.90/1.28 { ! alpha8( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.28 , Z ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), Y ), alpha8( X, Y, Z ) }.
% 0.90/1.28 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.90/1.28 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ), X =
% 0.90/1.28 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.90/1.28 { ! X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.90/1.28 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) }.
% 0.90/1.28 { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), !
% 0.90/1.28 class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.90/1.28 , ! c_Power_Opower__class_Opower( X, Z, Y ) = c_Groups_Ozero__class_Ozero
% 0.90/1.28 ( X ), Z = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.28 { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), !
% 0.90/1.28 class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.90/1.28 , ! c_Power_Opower__class_Opower( X, Z, Y ) = c_Groups_Ozero__class_Ozero
% 0.90/1.28 ( X ), ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.28 { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), !
% 0.90/1.28 class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.90/1.28 , ! Z = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero
% 0.90/1.28 ( tc_Nat_Onat ), c_Power_Opower__class_Opower( X, Z, Y ) =
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ),
% 0.90/1.28 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.90/1.28 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ) }
% 0.90/1.28 .
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 0.90/1.28 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.90/1.28 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.90/1.28 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 0.90/1.28 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), ! c_NthRoot_Osqrt(
% 0.90/1.28 X ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.90/1.28 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ) }
% 0.90/1.28 .
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ),
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ) }
% 0.90/1.28 .
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_NthRoot_Osqrt( X
% 0.90/1.28 ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_NthRoot_Osqrt( X )
% 0.90/1.28 , c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ) }
% 0.90/1.28 .
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), ! c_NthRoot_Osqrt(
% 0.90/1.28 X ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X =
% 0.90/1.28 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.90/1.28 ( X, Z, Y ) ), alpha42( X, Y, Z, T ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.90/1.28 ( X, Z, Y ) ), alpha65( X, Y, Z, T ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha42( X, Y, Z
% 0.90/1.28 , T ), ! alpha65( X, Y, Z, T ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.90/1.28 { ! alpha65( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), Y ), alpha77( X, Y, Z, T ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.90/1.28 , alpha65( X, Y, Z, T ) }.
% 0.90/1.28 { ! alpha77( X, Y, Z, T ), alpha65( X, Y, Z, T ) }.
% 0.90/1.28 { ! alpha77( X, Y, Z, T ), alpha89( X, Y, Z, T ) }.
% 0.90/1.28 { ! alpha77( X, Y, Z, T ), alpha9( X, Y, T ) }.
% 0.90/1.28 { ! alpha89( X, Y, Z, T ), ! alpha9( X, Y, T ), alpha77( X, Y, Z, T ) }.
% 0.90/1.28 { ! alpha89( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.28 , Z, c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.90/1.28 { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.90/1.28 alpha89( X, Y, Z, T ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Otimes__class_Otimes
% 0.90/1.28 ( X, T, Y ) ), alpha89( X, Y, Z, T ) }.
% 0.90/1.28 { ! alpha42( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless__eq
% 0.90/1.28 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ), Z ) }.
% 0.90/1.28 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.90/1.28 alpha42( X, Y, Z, T ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.90/1.28 , T, Y ), Z ), alpha42( X, Y, Z, T ) }.
% 0.90/1.28 { ! alpha9( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.28 , Z, c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.90/1.28 , alpha9( X, Y, Z ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.90/1.28 ) ), alpha9( X, Y, Z ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.90/1.28 , T, Z ), Y ), alpha43( X, Y, Z, T ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.90/1.28 , T, Z ), Y ), alpha66( X, Y, Z, T ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha43( X, Y, Z
% 0.90/1.28 , T ), ! alpha66( X, Y, Z, T ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( X, T, Z ), Y ) }.
% 0.90/1.28 { ! alpha66( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), Z ), alpha78( X, Y, Z, T ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.90/1.28 , alpha66( X, Y, Z, T ) }.
% 0.90/1.28 { ! alpha78( X, Y, Z, T ), alpha66( X, Y, Z, T ) }.
% 0.90/1.28 { ! alpha78( X, Y, Z, T ), alpha90( X, Y, Z, T ) }.
% 0.90/1.28 { ! alpha78( X, Y, Z, T ), alpha10( X, Y, Z ) }.
% 0.90/1.28 { ! alpha90( X, Y, Z, T ), ! alpha10( X, Y, Z ), alpha78( X, Y, Z, T ) }.
% 0.90/1.28 { ! alpha90( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.28 , c_Groups_Otimes__class_Otimes( X, Y, Z ), T ) }.
% 0.90/1.28 { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 0.90/1.28 alpha90( X, Y, Z, T ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.90/1.28 , Y, Z ), T ), alpha90( X, Y, Z, T ) }.
% 0.90/1.28 { ! alpha43( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless__eq
% 0.90/1.28 ( X, T, c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.90/1.28 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.90/1.28 alpha43( X, Y, Z, T ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes
% 0.90/1.28 ( X, Y, Z ) ), alpha43( X, Y, Z, T ) }.
% 0.90/1.28 { ! alpha10( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.28 , c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.90/1.28 , alpha10( X, Y, Z ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.28 , Y ), alpha10( X, Y, Z ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.28 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.90/1.28 ( X, Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, T, Y ), Z ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.28 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 0.90/1.28 , Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.28 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.90/1.28 , T, Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.28 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes( X
% 0.90/1.28 , Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.28 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes( X
% 0.90/1.28 , Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.28 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 0.90/1.28 , Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.28 X, Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.90/1.28 ( X, Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.28 X, Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Otimes__class_Otimes( X
% 0.90/1.28 , T, Y ) ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.28 X, Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.90/1.28 , T, Y ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, Z, Y ), T ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.28 X, Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.90/1.28 , Y ), T ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.90/1.28 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.28 , c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.90/1.28 , T, Y ), c_Rings_Oinverse__class_Odivide( X, T, Z ) ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.28 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.28 , c_Groups_Otimes__class_Otimes( X, Z, Y ) ),
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.90/1.28 , T, Z ), c_Rings_Oinverse__class_Odivide( X, T, Y ) ) }.
% 0.90/1.28 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.90/1.28 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless(
% 0.90/1.28 tc_Int_Oint, Y, c_Int_OPls ) }.
% 0.90/1.28 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.90/1.28 ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.28 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.90/1.28 ( tc_Int_Oint, c_Int_OPls, Y ) }.
% 0.90/1.28 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, Y ),
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.90/1.28 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.90/1.28 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ) }.
% 0.90/1.28 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ),
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.90/1.28 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.28 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, Y ) }.
% 0.90/1.28 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, Y ),
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.90/1.28 , c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, T, Z )
% 0.90/1.28 ), Y ), c_Orderings_Oord__class_Oless( X, c_Groups_Ominus__class_Ominus
% 0.90/1.28 ( X, Z, Y ), T ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.90/1.28 , c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, T, Z )
% 0.90/1.28 ), Y ), c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus
% 0.90/1.28 ( X, Z, Y ) ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.90/1.28 , c_Groups_Ominus__class_Ominus( X, Z, Y ), T ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.90/1.28 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oabs__class_Oabs( X,
% 0.90/1.28 c_Groups_Ominus__class_Ominus( X, T, Z ) ), Y ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.28 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.90/1.28 X, Y ) ) ), alpha44( X, Y, Z, T ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.28 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.90/1.28 X, Y ) ) ), alpha67( X, Y, Z, T ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.28 class_Int_Onumber( X ), ! alpha44( X, Y, Z, T ), ! alpha67( X, Y, Z, T )
% 0.90/1.28 , c_Orderings_Oord__class_Oless__eq( X, T,
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.90/1.28 X, Y ) ) ) }.
% 0.90/1.28 { ! alpha67( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.90/1.28 ) ), alpha79( X, Y, Z, T ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha67( X, Y, Z, T ) }.
% 0.90/1.28 { ! alpha79( X, Y, Z, T ), alpha67( X, Y, Z, T ) }.
% 0.90/1.28 { ! alpha79( X, Y, Z, T ), alpha91( X, Y, Z, T ) }.
% 0.90/1.28 { ! alpha79( X, Y, Z, T ), alpha11( X, Y, T ) }.
% 0.90/1.28 { ! alpha91( X, Y, Z, T ), ! alpha11( X, Y, T ), alpha79( X, Y, Z, T ) }.
% 0.90/1.28 { ! alpha91( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.90/1.28 ) ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, T, c_Int_Onumber__class_Onumber__of( X
% 0.90/1.28 , Y ) ) ) }.
% 0.90/1.28 { c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.90/1.28 ), c_Groups_Ozero__class_Ozero( X ) ), alpha91( X, Y, Z, T ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Otimes__class_Otimes
% 0.90/1.28 ( X, T, c_Int_Onumber__class_Onumber__of( X, Y ) ) ), alpha91( X, Y, Z, T
% 0.90/1.28 ) }.
% 0.90/1.28 { ! alpha44( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.90/1.28 ) ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes
% 0.90/1.28 ( X, T, c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ) }.
% 0.90/1.28 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha44( X, Y, Z, T ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.90/1.28 , T, c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ), alpha44( X, Y, Z, T
% 0.90/1.28 ) }.
% 0.90/1.28 { ! alpha11( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.90/1.28 ) ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.90/1.28 Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha11( X, Y, Z ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.90/1.28 ) ), alpha11( X, Y, Z ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.28 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 0.90/1.28 ( X, Z, Y ) ), alpha45( X, Y, Z, T ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.28 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 0.90/1.28 ( X, Z, Y ) ), alpha68( X, Y, Z, T ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.28 class_Int_Onumber( X ), ! alpha45( X, Y, Z, T ), ! alpha68( X, Y, Z, T )
% 0.90/1.28 , c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of
% 0.90/1.28 ( X, T ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.90/1.28 { ! alpha68( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), Y ), alpha80( X, Y, Z, T ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.90/1.28 , alpha68( X, Y, Z, T ) }.
% 0.90/1.28 { ! alpha80( X, Y, Z, T ), alpha68( X, Y, Z, T ) }.
% 0.90/1.28 { ! alpha80( X, Y, Z, T ), alpha92( X, Y, Z, T ) }.
% 0.90/1.28 { ! alpha80( X, Y, Z, T ), alpha12( X, Y, T ) }.
% 0.90/1.28 { ! alpha92( X, Y, Z, T ), ! alpha12( X, Y, T ), alpha80( X, Y, Z, T ) }.
% 0.90/1.28 { ! alpha92( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.28 , Z, c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of(
% 0.90/1.28 X, T ), Y ) ) }.
% 0.90/1.28 { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.90/1.28 alpha92( X, Y, Z, T ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Otimes__class_Otimes
% 0.90/1.28 ( X, c_Int_Onumber__class_Onumber__of( X, T ), Y ) ), alpha92( X, Y, Z, T
% 0.90/1.28 ) }.
% 0.90/1.28 { ! alpha45( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless__eq
% 0.90/1.28 ( X, c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of(
% 0.90/1.28 X, T ), Y ), Z ) }.
% 0.90/1.28 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.90/1.28 alpha45( X, Y, Z, T ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.90/1.28 , c_Int_Onumber__class_Onumber__of( X, T ), Y ), Z ), alpha45( X, Y, Z, T
% 0.90/1.28 ) }.
% 0.90/1.28 { ! alpha12( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.28 , c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero(
% 0.90/1.28 X ) ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.90/1.28 , alpha12( X, Y, Z ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of
% 0.90/1.28 ( X, Z ), c_Groups_Ozero__class_Ozero( X ) ), alpha12( X, Y, Z ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.28 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha46( X, Y, Z, T ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.28 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha69( X, Y, Z, T ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.28 class_Int_Onumber( X ), ! alpha46( X, Y, Z, T ), ! alpha69( X, Y, Z, T )
% 0.90/1.28 , c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide(
% 0.90/1.28 X, T, Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.90/1.28 { ! alpha69( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), Z ), alpha81( X, Y, Z, T ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.90/1.28 , alpha69( X, Y, Z, T ) }.
% 0.90/1.28 { ! alpha81( X, Y, Z, T ), alpha69( X, Y, Z, T ) }.
% 0.90/1.28 { ! alpha81( X, Y, Z, T ), alpha93( X, Y, Z, T ) }.
% 0.90/1.28 { ! alpha81( X, Y, Z, T ), alpha13( X, Y, Z ) }.
% 0.90/1.28 { ! alpha93( X, Y, Z, T ), ! alpha13( X, Y, Z ), alpha81( X, Y, Z, T ) }.
% 0.90/1.28 { ! alpha93( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.28 , c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 0.90/1.28 Y ), Z ), T ) }.
% 0.90/1.28 { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 0.90/1.28 alpha93( X, Y, Z, T ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.90/1.28 , c_Int_Onumber__class_Onumber__of( X, Y ), Z ), T ), alpha93( X, Y, Z, T
% 0.90/1.28 ) }.
% 0.90/1.28 { ! alpha46( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless__eq
% 0.90/1.28 ( X, T, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( X, Y ), Z ) ) }.
% 0.90/1.28 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.90/1.28 alpha46( X, Y, Z, T ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes
% 0.90/1.28 ( X, c_Int_Onumber__class_Onumber__of( X, Y ), Z ) ), alpha46( X, Y, Z, T
% 0.90/1.28 ) }.
% 0.90/1.28 { ! alpha13( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.28 , c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.90/1.28 Y ) ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.90/1.28 , alpha13( X, Y, Z ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.28 , c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha13( X, Y, Z ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.28 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.90/1.28 X, Z ) ), Y ), alpha47( X, Y, Z, T ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.28 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.90/1.28 X, Z ) ), Y ), alpha70( X, Y, Z, T ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.28 class_Int_Onumber( X ), ! alpha47( X, Y, Z, T ), ! alpha70( X, Y, Z, T )
% 0.90/1.28 , c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide(
% 0.90/1.28 X, T, c_Int_Onumber__class_Onumber__of( X, Z ) ), Y ) }.
% 0.90/1.28 { ! alpha70( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 0.90/1.28 ) ), alpha82( X, Y, Z, T ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha70( X, Y, Z, T ) }.
% 0.90/1.28 { ! alpha82( X, Y, Z, T ), alpha70( X, Y, Z, T ) }.
% 0.90/1.28 { ! alpha82( X, Y, Z, T ), alpha94( X, Y, Z, T ) }.
% 0.90/1.28 { ! alpha82( X, Y, Z, T ), alpha14( X, Y, Z ) }.
% 0.90/1.28 { ! alpha94( X, Y, Z, T ), ! alpha14( X, Y, Z ), alpha82( X, Y, Z, T ) }.
% 0.90/1.28 { ! alpha94( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.90/1.28 ) ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes
% 0.90/1.28 ( X, Y, c_Int_Onumber__class_Onumber__of( X, Z ) ), T ) }.
% 0.90/1.28 { c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.90/1.28 ), c_Groups_Ozero__class_Ozero( X ) ), alpha94( X, Y, Z, T ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.90/1.28 , Y, c_Int_Onumber__class_Onumber__of( X, Z ) ), T ), alpha94( X, Y, Z, T
% 0.90/1.28 ) }.
% 0.90/1.28 { ! alpha47( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 0.90/1.28 ) ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, Y, c_Int_Onumber__class_Onumber__of( X
% 0.90/1.28 , Z ) ) ) }.
% 0.90/1.28 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha47( X, Y, Z, T ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes
% 0.90/1.28 ( X, Y, c_Int_Onumber__class_Onumber__of( X, Z ) ) ), alpha47( X, Y, Z, T
% 0.90/1.28 ) }.
% 0.90/1.28 { ! alpha14( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.28 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.90/1.28 ) ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.90/1.28 X ), Y ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.90/1.28 Z ), c_Groups_Ozero__class_Ozero( X ) ), alpha14( X, Y, Z ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.28 , Y ), alpha14( X, Y, Z ) }.
% 0.90/1.28 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.28 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U )
% 0.90/1.28 , T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.28 Z, U ), Y ) ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.28 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.28 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ) }.
% 0.90/1.28 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.28 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.28 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ),
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.90/1.28 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.90/1.28 , Y ) ) }.
% 0.90/1.28 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.28 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U )
% 0.90/1.28 , T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.28 Z, U ), Y ) ), c_Orderings_Oord__class_Oless( X, T,
% 0.90/1.28 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.28 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ) }.
% 0.90/1.28 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X, T
% 0.90/1.28 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.28 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ),
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.90/1.28 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.90/1.28 , Y ) ) }.
% 0.90/1.28 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.28 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U
% 0.90/1.28 ), T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.90/1.28 , Z, U ), Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.28 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.28 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ) }.
% 0.90/1.28 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.28 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.28 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ),
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.90/1.28 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.90/1.28 , Y ) ) }.
% 0.90/1.28 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.28 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U
% 0.90/1.28 ), T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.90/1.28 , Z, U ), Y ) ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.90/1.28 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.28 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ) }.
% 0.90/1.28 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.28 , T, c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.28 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ),
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.90/1.28 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.90/1.28 , Y ) ) }.
% 0.90/1.28 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.28 c_Groups_Ominus__class_Ominus( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.90/1.28 Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X,
% 0.90/1.28 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, Y, T
% 0.90/1.28 ), Z ), Y ) }.
% 0.90/1.28 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.28 c_Groups_Ominus__class_Ominus( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.90/1.28 Y ), Z ) = c_Rings_Oinverse__class_Odivide( X,
% 0.90/1.28 c_Groups_Ominus__class_Ominus( X, T, c_Groups_Otimes__class_Otimes( X, Y
% 0.90/1.28 , Z ) ), Y ) }.
% 0.90/1.28 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ominus__class_Ominus( X,
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( X, U, Y ),
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( X, T, Z ) ) =
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.90/1.28 X, T, Y ) ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.28 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z )
% 0.90/1.28 , c_Groups_Otimes__class_Otimes( X, Y, Y ) ) ), ! Z =
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.28 }.
% 0.90/1.28 { ! class_Rings_Olinordered__ring__strict( X ), Z =
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.90/1.28 X, Y, Y ) ) ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__ring__strict( X ), Y =
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.90/1.28 X, Y, Y ) ) ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__ring( X ), ! c_Orderings_Oord__class_Oless( X
% 0.90/1.28 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z
% 0.90/1.28 ), c_Groups_Otimes__class_Otimes( X, Y, Y ) ),
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.90/1.28 X, Y, Y ) ), c_Groups_Ozero__class_Ozero( X ) ), Z =
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.90/1.28 X, Y, Y ) ), c_Groups_Ozero__class_Ozero( X ) ), Y =
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__ring__strict( X ), ! Z =
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.28 , c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.90/1.28 X, Y, Y ) ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__ring( X ), c_Orderings_Oord__class_Oless__eq(
% 0.90/1.28 X, c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.90/1.28 X, Y, Y ) ) ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.90/1.28 Z, Y ) ), alpha48( X, Y, Z, T ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.90/1.28 Z, Y ) ), alpha71( X, Y, Z, T ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha48( X, Y, Z
% 0.90/1.28 , T ), ! alpha71( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T,
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.90/1.28 { ! alpha71( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), Y ), alpha83( X, Y, Z, T ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.90/1.28 , alpha71( X, Y, Z, T ) }.
% 0.90/1.28 { ! alpha83( X, Y, Z, T ), alpha71( X, Y, Z, T ) }.
% 0.90/1.28 { ! alpha83( X, Y, Z, T ), alpha95( X, Y, Z, T ) }.
% 0.90/1.28 { ! alpha83( X, Y, Z, T ), alpha15( X, Y, T ) }.
% 0.90/1.28 { ! alpha95( X, Y, Z, T ), ! alpha15( X, Y, T ), alpha83( X, Y, Z, T ) }.
% 0.90/1.28 { ! alpha95( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.90/1.28 { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.90/1.28 alpha95( X, Y, Z, T ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.28 T, Y ) ), alpha95( X, Y, Z, T ) }.
% 0.90/1.28 { ! alpha48( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, T, Y ), Z ) }.
% 0.90/1.28 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.90/1.28 alpha48( X, Y, Z, T ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.90/1.28 Y ), Z ), alpha48( X, Y, Z, T ) }.
% 0.90/1.28 { ! alpha15( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.90/1.28 , alpha15( X, Y, Z ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.90/1.28 , alpha15( X, Y, Z ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.90/1.28 Z ), Y ), alpha49( X, Y, Z, T ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.90/1.28 Z ), Y ), alpha72( X, Y, Z, T ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha49( X, Y, Z
% 0.90/1.28 , T ), ! alpha72( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.28 c_Rings_Oinverse__class_Odivide( X, T, Z ), Y ) }.
% 0.90/1.28 { ! alpha72( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), Z ), alpha84( X, Y, Z, T ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.90/1.28 , alpha72( X, Y, Z, T ) }.
% 0.90/1.28 { ! alpha84( X, Y, Z, T ), alpha72( X, Y, Z, T ) }.
% 0.90/1.28 { ! alpha84( X, Y, Z, T ), alpha96( X, Y, Z, T ) }.
% 0.90/1.28 { ! alpha84( X, Y, Z, T ), alpha16( X, Y, Z ) }.
% 0.90/1.28 { ! alpha96( X, Y, Z, T ), ! alpha16( X, Y, Z ), alpha84( X, Y, Z, T ) }.
% 0.90/1.28 { ! alpha96( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.28 c_Groups_Otimes__class_Otimes( X, Y, Z ), T ) }.
% 0.90/1.28 { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 0.90/1.28 alpha96( X, Y, Z, T ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.90/1.28 Z ), T ), alpha96( X, Y, Z, T ) }.
% 0.90/1.28 { ! alpha49( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.28 T, c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.90/1.28 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.90/1.28 alpha49( X, Y, Z, T ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.28 Y, Z ) ), alpha49( X, Y, Z, T ) }.
% 0.90/1.28 { ! alpha16( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.90/1.28 , alpha16( X, Y, Z ) }.
% 0.90/1.28 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.90/1.28 , alpha16( X, Y, Z ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.28 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.90/1.28 ( X, T, c_Rings_Oinverse__class_Odivide( X, Z, Y ) ),
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Y
% 0.90/1.28 ), Z ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.28 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.90/1.28 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ), Z ),
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.90/1.28 Z, Y ) ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.28 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.90/1.28 ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ),
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.90/1.28 , Y ) ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.28 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.90/1.28 ( X, T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ),
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.90/1.28 Y ), Z ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.28 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.90/1.28 ( X, T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ),
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.90/1.28 Y ), Z ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.28 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.90/1.28 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ), Z ),
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.90/1.28 Z, Y ) ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.28 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.90/1.28 ( X, T, c_Rings_Oinverse__class_Odivide( X, Z, Y ) ),
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X, T
% 0.90/1.28 , Y ) ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.28 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.90/1.28 ( X, Z, c_Groups_Otimes__class_Otimes( X, T, Y ) ),
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.90/1.28 Z, Y ) ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.28 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.90/1.28 ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ),
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.90/1.28 ), T ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.28 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.90/1.28 ( X, c_Groups_Otimes__class_Otimes( X, Z, Y ), T ),
% 0.90/1.28 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.90/1.28 Y ), Z ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.28 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), T ), ! c_Orderings_Oord__class_Oless( X
% 0.90/1.28 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.90/1.28 Z ) ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide
% 0.90/1.28 ( X, T, Y ), c_Rings_Oinverse__class_Odivide( X, T, Z ) ) }.
% 0.90/1.28 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.28 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.90/1.28 ) ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide(
% 0.90/1.28 X, T, Z ), c_Rings_Oinverse__class_Odivide( X, T, Y ) ) }.
% 0.90/1.28 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.90/1.28 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), c_Groups_Otimes__class_Otimes
% 0.90/1.28 ( X, c_Groups_Oabs__class_Oabs( X, Z ), Y ) = c_Groups_Oabs__class_Oabs(
% 0.90/1.28 X, c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.90/1.28 { ! class_Rings_Oordered__ring__abs( X ), alpha101( X, Z ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.28 ), c_Groups_Oabs__class_Oabs( X, c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.90/1.28 ) ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Oabs__class_Oabs( X, Z
% 0.90/1.28 ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.90/1.28 { ! class_Rings_Oordered__ring__abs( X ), alpha101( X, Z ), !
% 0.90/1.28 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.28 ), c_Groups_Oabs__class_Oabs( X, c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.90/1.28 ) ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Oabs__class_Oabs( X, Z
% 0.90/1.28 ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.90/1.28 { ! alpha101( X, Y ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.90/1.28 { ! alpha101( X, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.90/1.28 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.29 ), c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero
% 0.90/1.29 ( X ) ), alpha101( X, Y ) }.
% 0.90/1.29 { ! class_Rings_Olinordered__idom( X ), c_Orderings_Oord__class_Oless__eq(
% 0.90/1.29 X, c_Groups_Ozero__class_Ozero( X ), c_Power_Opower__class_Opower( X,
% 0.90/1.29 c_Groups_Oabs__class_Oabs( X, Z ), Y ) ) }.
% 0.90/1.29 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oabs__class_Oabs( X, Z ), Y
% 0.90/1.29 ) = c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.90/1.29 , Y ) ) }.
% 0.90/1.29 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.90/1.29 , Y ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Ominus__class_Ominus(
% 0.90/1.29 X, U, Z ), c_Groups_Ominus__class_Ominus( X, T, Y ) ) }.
% 0.90/1.29 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( X, T, Z ), Y ) =
% 0.90/1.29 c_Groups_Ominus__class_Ominus( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.90/1.29 Y ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.90/1.29 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, X, c_Int_OPls ) = X }.
% 0.90/1.29 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0
% 0.90/1.29 ( X ) ) = c_Int_OBit0( c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X )
% 0.90/1.29 ) }.
% 0.90/1.29 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Ominus__class_Ominus
% 0.90/1.29 ( tc_Int_Oint, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Int_Oint,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.90/1.29 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ) ) =
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Groups_Otimes__class_Otimes
% 0.90/1.29 ( tc_Int_Oint, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X )
% 0.90/1.29 ) }.
% 0.90/1.29 { ! class_Rings_Omult__zero( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.29 }.
% 0.90/1.29 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.29 }.
% 0.90/1.29 { ! class_Rings_Omult__zero( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.29 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.29 Y, c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.29 }.
% 0.90/1.29 { ! class_Rings_Oring__no__zero__divisors( X ), !
% 0.90/1.29 c_Groups_Otimes__class_Otimes( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.90/1.29 ), Z = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero
% 0.90/1.29 ( X ) }.
% 0.90/1.29 { ! class_Rings_Oring__no__zero__divisors( X ), ! Z =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.90/1.29 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.29 { ! class_Rings_Oring__no__zero__divisors( X ), ! Y =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.90/1.29 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.29 { ! class_Rings_Ono__zero__divisors( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.90/1.29 X ), Z = c_Groups_Ozero__class_Ozero( X ), !
% 0.90/1.29 c_Groups_Otimes__class_Otimes( X, Y, Z ) = c_Groups_Ozero__class_Ozero( X
% 0.90/1.29 ) }.
% 0.90/1.29 { ! class_Rings_Ono__zero__divisors( X ), ! c_Groups_Otimes__class_Otimes(
% 0.90/1.29 X, Z, Y ) = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.90/1.29 .
% 0.90/1.29 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.90/1.29 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.90/1.29 , c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.90/1.29 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.90/1.29 ( X ), ! Z = c_Groups_Oplus__class_Oplus( X, Z, Y ), Y =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.29 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.90/1.29 ( X ), ! Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.90/1.29 c_Groups_Oplus__class_Oplus( X, Z, Y ) }.
% 0.90/1.29 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.90/1.29 c_Groups_Oplus__class_Oplus( X, Y, Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.29 , Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.29 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.90/1.29 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.29 { ! class_Rings_Oring__1__no__zero__divisors( X ), Y =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), ! c_Power_Opower__class_Opower( X, Y, Z
% 0.90/1.29 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.29 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.29 }.
% 0.90/1.29 { ! class_Rings_Odivision__ring__inverse__zero( X ),
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.90/1.29 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_NthRoot_Osqrt( Y ),
% 0.90/1.29 c_NthRoot_Osqrt( X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_NthRoot_Osqrt( Y ),
% 0.90/1.29 c_NthRoot_Osqrt( X ) ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.29 Y, X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_NthRoot_Osqrt( Y ),
% 0.90/1.29 c_NthRoot_Osqrt( X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_NthRoot_Osqrt( Y )
% 0.90/1.29 , c_NthRoot_Osqrt( X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_NthRoot_Osqrt( Y
% 0.90/1.29 ), c_NthRoot_Osqrt( X ) ), c_Orderings_Oord__class_Oless__eq(
% 0.90/1.29 tc_RealDef_Oreal, Y, X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_NthRoot_Osqrt( Y )
% 0.90/1.29 , c_NthRoot_Osqrt( X ) ) }.
% 0.90/1.29 { ! c_NthRoot_Osqrt( X ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal )
% 0.90/1.29 , X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.90/1.29 { ! X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X
% 0.90/1.29 ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.90/1.29 { c_NthRoot_Osqrt( c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.90/1.29 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.29 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.90/1.29 X, Y ) ) ), alpha50( X, Y, Z, T ) }.
% 0.90/1.29 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.29 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.90/1.29 X, Y ) ) ), alpha73( X, Y, Z, T ) }.
% 0.90/1.29 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.29 class_Int_Onumber( X ), ! alpha50( X, Y, Z, T ), ! alpha73( X, Y, Z, T )
% 0.90/1.29 , c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X
% 0.90/1.29 , Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.90/1.29 { ! alpha73( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.90/1.29 ) ), alpha85( X, Y, Z, T ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha73( X, Y, Z, T ) }.
% 0.90/1.29 { ! alpha85( X, Y, Z, T ), alpha73( X, Y, Z, T ) }.
% 0.90/1.29 { ! alpha85( X, Y, Z, T ), alpha97( X, Y, Z, T ) }.
% 0.90/1.29 { ! alpha85( X, Y, Z, T ), alpha17( X, Y, T ) }.
% 0.90/1.29 { ! alpha97( X, Y, Z, T ), ! alpha17( X, Y, T ), alpha85( X, Y, Z, T ) }.
% 0.90/1.29 { ! alpha97( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.90/1.29 ) ), c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes
% 0.90/1.29 ( X, T, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.90/1.29 ), c_Groups_Ozero__class_Ozero( X ) ), alpha97( X, Y, Z, T ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.29 T, c_Int_Onumber__class_Onumber__of( X, Y ) ) ), alpha97( X, Y, Z, T ) }
% 0.90/1.29 .
% 0.90/1.29 { ! alpha50( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.90/1.29 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X
% 0.90/1.29 , T, c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha50( X, Y, Z, T ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ), alpha50( X, Y, Z, T ) }
% 0.90/1.29 .
% 0.90/1.29 { ! alpha17( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.90/1.29 ) ), c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.90/1.29 ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.90/1.29 Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha17( X, Y, Z ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.90/1.29 , alpha17( X, Y, Z ) }.
% 0.90/1.29 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.29 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 0.90/1.29 ( X, Z, Y ) ), alpha51( X, Y, Z, T ) }.
% 0.90/1.29 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.29 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 0.90/1.29 ( X, Z, Y ) ), alpha74( X, Y, Z, T ) }.
% 0.90/1.29 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.29 class_Int_Onumber( X ), ! alpha51( X, Y, Z, T ), ! alpha74( X, Y, Z, T )
% 0.90/1.29 , c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.90/1.29 T ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.90/1.29 { ! alpha74( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), Y ), alpha86( X, Y, Z, T ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.90/1.29 , alpha74( X, Y, Z, T ) }.
% 0.90/1.29 { ! alpha86( X, Y, Z, T ), alpha74( X, Y, Z, T ) }.
% 0.90/1.29 { ! alpha86( X, Y, Z, T ), alpha98( X, Y, Z, T ) }.
% 0.90/1.29 { ! alpha86( X, Y, Z, T ), alpha18( X, Y, T ) }.
% 0.90/1.29 { ! alpha98( X, Y, Z, T ), ! alpha18( X, Y, T ), alpha86( X, Y, Z, T ) }.
% 0.90/1.29 { ! alpha98( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.90/1.29 ), Y ) ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.90/1.29 alpha98( X, Y, Z, T ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( X, T ), Y ) ), alpha98( X, Y, Z, T ) }
% 0.90/1.29 .
% 0.90/1.29 { ! alpha51( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.90/1.29 ), Y ), Z ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.90/1.29 alpha51( X, Y, Z, T ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( X, T ), Y ), Z ), alpha51( X, Y, Z, T )
% 0.90/1.29 }.
% 0.90/1.29 { ! alpha18( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.90/1.29 ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.90/1.29 , alpha18( X, Y, Z ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.90/1.29 Z ), c_Groups_Ozero__class_Ozero( X ) ), alpha18( X, Y, Z ) }.
% 0.90/1.29 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.29 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha52( X, Y, Z, T ) }.
% 0.90/1.29 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.29 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha75( X, Y, Z, T ) }.
% 0.90/1.29 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.29 class_Int_Onumber( X ), ! alpha52( X, Y, Z, T ), ! alpha75( X, Y, Z, T )
% 0.90/1.29 , c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T
% 0.90/1.29 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.90/1.29 { ! alpha75( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), Z ), alpha87( X, Y, Z, T ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.90/1.29 , alpha75( X, Y, Z, T ) }.
% 0.90/1.29 { ! alpha87( X, Y, Z, T ), alpha75( X, Y, Z, T ) }.
% 0.90/1.29 { ! alpha87( X, Y, Z, T ), alpha99( X, Y, Z, T ) }.
% 0.90/1.29 { ! alpha87( X, Y, Z, T ), alpha19( X, Y, Z ) }.
% 0.90/1.29 { ! alpha99( X, Y, Z, T ), ! alpha19( X, Y, Z ), alpha87( X, Y, Z, T ) }.
% 0.90/1.29 { ! alpha99( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.90/1.29 ), Z ), T ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 0.90/1.29 alpha99( X, Y, Z, T ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( X, Y ), Z ), T ), alpha99( X, Y, Z, T )
% 0.90/1.29 }.
% 0.90/1.29 { ! alpha52( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.29 T, c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X
% 0.90/1.29 , Y ), Z ) ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.90/1.29 alpha52( X, Y, Z, T ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( X, Y ), Z ) ), alpha52( X, Y, Z, T ) }
% 0.90/1.29 .
% 0.90/1.29 { ! alpha19( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.90/1.29 ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.90/1.29 , alpha19( X, Y, Z ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha19( X, Y, Z ) }.
% 0.90/1.29 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.29 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.90/1.29 X, Z ) ), Y ), alpha53( X, Y, Z, T ) }.
% 0.90/1.29 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.29 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.90/1.29 X, Z ) ), Y ), alpha76( X, Y, Z, T ) }.
% 0.90/1.29 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.29 class_Int_Onumber( X ), ! alpha53( X, Y, Z, T ), ! alpha76( X, Y, Z, T )
% 0.90/1.29 , c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T
% 0.90/1.29 , c_Int_Onumber__class_Onumber__of( X, Z ) ), Y ) }.
% 0.90/1.29 { ! alpha76( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 0.90/1.29 ) ), alpha88( X, Y, Z, T ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha76( X, Y, Z, T ) }.
% 0.90/1.29 { ! alpha88( X, Y, Z, T ), alpha76( X, Y, Z, T ) }.
% 0.90/1.29 { ! alpha88( X, Y, Z, T ), alpha100( X, Y, Z, T ) }.
% 0.90/1.29 { ! alpha88( X, Y, Z, T ), alpha20( X, Y, Z ) }.
% 0.90/1.29 { ! alpha100( X, Y, Z, T ), ! alpha20( X, Y, Z ), alpha88( X, Y, Z, T ) }.
% 0.90/1.29 { ! alpha100( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.90/1.29 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X
% 0.90/1.29 , Y, c_Int_Onumber__class_Onumber__of( X, Z ) ), T ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.90/1.29 ), c_Groups_Ozero__class_Ozero( X ) ), alpha100( X, Y, Z, T ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( X, Z ) ), T ), alpha100( X, Y, Z, T ) }
% 0.90/1.29 .
% 0.90/1.29 { ! alpha53( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 0.90/1.29 ) ), c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes
% 0.90/1.29 ( X, Y, c_Int_Onumber__class_Onumber__of( X, Z ) ) ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha53( X, Y, Z, T ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.29 Y, c_Int_Onumber__class_Onumber__of( X, Z ) ) ), alpha53( X, Y, Z, T ) }
% 0.90/1.29 .
% 0.90/1.29 { ! alpha20( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.90/1.29 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.29 , Y ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.90/1.29 Z ), c_Groups_Ozero__class_Ozero( X ) ), alpha20( X, Y, Z ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.90/1.29 , alpha20( X, Y, Z ) }.
% 0.90/1.29 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.90/1.29 ( X, c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of
% 0.90/1.29 ( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.90/1.29 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.90/1.29 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.29 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt(
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) ) ) }.
% 0.90/1.29 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.90/1.29 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.90/1.29 , Y ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ) = Y }.
% 0.90/1.29 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, W, Z
% 0.90/1.29 ), U ), T ) = Y, c_Groups_Oplus__class_Oplus( X,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.90/1.29 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.90/1.29 , Y ) }.
% 0.90/1.29 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.90/1.29 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.90/1.29 , Y ), T = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes
% 0.90/1.29 ( X, c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) }.
% 0.90/1.29 { ! class_Rings_Oring( X ), ! T = c_Groups_Oplus__class_Oplus( X,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, Z, W
% 0.90/1.29 ), U ), Y ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.90/1.29 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.90/1.29 , Y ) }.
% 0.90/1.29 { ! class_Int_Onumber( X ), ! class_Rings_Oring( X ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.90/1.29 ), c_Groups_Ominus__class_Ominus( X, Z, Y ) ) =
% 0.90/1.29 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( X, T ), Z ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.90/1.29 ), Y ) ) }.
% 0.90/1.29 { ! class_Int_Onumber( X ), ! class_Rings_Oring( X ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, T, Z
% 0.90/1.29 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.90/1.29 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Groups_Otimes__class_Otimes
% 0.90/1.29 ( X, Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.90/1.29 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Ominus__class_Ominus(
% 0.90/1.29 X, c_Int_Onumber__class_Onumber__of( X, Z ), Y ) ) =
% 0.90/1.29 c_Groups_Ominus__class_Ominus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Int_Oint, T, Z ) ), Y ) }.
% 0.90/1.29 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1
% 0.90/1.29 ( X ) ) = c_Int_OBit0( c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X )
% 0.90/1.29 ) }.
% 0.90/1.29 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0
% 0.90/1.29 ( X ) ) = c_Int_OBit1( c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X )
% 0.90/1.29 ) }.
% 0.90/1.29 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OPls, c_Int_OBit0( X )
% 0.90/1.29 ) = c_Int_OBit0( c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OPls
% 0.90/1.29 , X ) ) }.
% 0.90/1.29 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.90/1.29 , c_Groups_Oabs__class_Oabs( X, Z ), Y ), ! c_Orderings_Oord__class_Oless
% 0.90/1.29 ( X, c_Groups_Oabs__class_Oabs( X, U ), T ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.29 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, U ) ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.90/1.29 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, Y ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ), hAPP( Z, Y
% 0.90/1.29 ) ), c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y ) ), Y ) ) =
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ), hAPP( Z, Y
% 0.90/1.29 ) ), c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y ) ), X ) ) }
% 0.90/1.29 .
% 0.90/1.29 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.90/1.29 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z )
% 0.90/1.29 , c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.90/1.29 .
% 0.90/1.29 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.90/1.29 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z )
% 0.90/1.29 , c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.90/1.29 .
% 0.90/1.29 { ! class_Rings_Olinordered__ring__strict( X ), ! Z =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.29 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z
% 0.90/1.29 ), c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.29 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.90/1.29 ( X ), Y = c_Groups_Ozero__class_Ozero( X ), ! W = U, T = Z, !
% 0.90/1.29 c_Groups_Oplus__class_Oplus( X, W, c_Groups_Otimes__class_Otimes( X, Y, T
% 0.90/1.29 ) ) = c_Groups_Oplus__class_Oplus( X, U, c_Groups_Otimes__class_Otimes(
% 0.90/1.29 X, Y, Z ) ) }.
% 0.90/1.29 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.90/1.29 c_Int_OPls ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.29 { ! class_Int_Onumber__ring( X ), c_Groups_Ozero__class_Ozero( X ) =
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ) }.
% 0.90/1.29 { ! class_Fields_Ofield__inverse__zero( X ), ! T =
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha54( X, Y, Z, T ) }.
% 0.90/1.29 { ! class_Fields_Ofield__inverse__zero( X ), ! T =
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha21( X, Y, T ) }.
% 0.90/1.29 { ! class_Fields_Ofield__inverse__zero( X ), ! alpha54( X, Y, Z, T ), !
% 0.90/1.29 alpha21( X, Y, T ), T = c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.90/1.29 { ! alpha54( X, Y, Z, T ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( X, T, Y ) = Z }.
% 0.90/1.29 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha54( X, Y, Z, T ) }.
% 0.90/1.29 { ! c_Groups_Otimes__class_Otimes( X, T, Y ) = Z, alpha54( X, Y, Z, T ) }.
% 0.90/1.29 { ! alpha21( X, Y, Z ), ! Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.29 { Y = c_Groups_Ozero__class_Ozero( X ), alpha21( X, Y, Z ) }.
% 0.90/1.29 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha21( X, Y, Z ) }.
% 0.90/1.29 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y, alpha55( X, Y, Z, T ) }.
% 0.90/1.29 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y, alpha22( X, Y, Z ) }.
% 0.90/1.29 { ! class_Fields_Ofield__inverse__zero( X ), ! alpha55( X, Y, Z, T ), !
% 0.90/1.29 alpha22( X, Y, Z ), c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y }.
% 0.90/1.29 { ! alpha55( X, Y, Z, T ), Z = c_Groups_Ozero__class_Ozero( X ), T =
% 0.90/1.29 c_Groups_Otimes__class_Otimes( X, Y, Z ) }.
% 0.90/1.29 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha55( X, Y, Z, T ) }.
% 0.90/1.29 { ! T = c_Groups_Otimes__class_Otimes( X, Y, Z ), alpha55( X, Y, Z, T ) }.
% 0.90/1.29 { ! alpha22( X, Y, Z ), ! Z = c_Groups_Ozero__class_Ozero( X ), Y =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.29 { Z = c_Groups_Ozero__class_Ozero( X ), alpha22( X, Y, Z ) }.
% 0.90/1.29 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha22( X, Y, Z ) }.
% 0.90/1.29 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.29 , ! T = c_Rings_Oinverse__class_Odivide( X, Z, Y ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( X, T, Y ) = Z }.
% 0.90/1.29 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.29 , ! c_Groups_Otimes__class_Otimes( X, T, Y ) = Z, T =
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.90/1.29 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.29 , ! c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z, T =
% 0.90/1.29 c_Groups_Otimes__class_Otimes( X, Z, Y ) }.
% 0.90/1.29 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.29 , ! T = c_Groups_Otimes__class_Otimes( X, Z, Y ),
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z }.
% 0.90/1.29 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( X, T, Y ), c_Groups_Otimes__class_Otimes(
% 0.90/1.29 X, Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.90/1.29 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( X, Y, T ), c_Groups_Otimes__class_Otimes(
% 0.90/1.29 X, Y, Z ) ) = c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.90/1.29 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), ! c_Rings_Oinverse__class_Odivide( X, U
% 0.90/1.29 , Y ) = c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( X, U, Z ) = c_Groups_Otimes__class_Otimes
% 0.90/1.29 ( X, T, Y ) }.
% 0.90/1.29 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), ! c_Groups_Otimes__class_Otimes( X, U,
% 0.90/1.29 Z ) = c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( X, U, Y ) =
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.90/1.29 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.29 , ! T = c_Groups_Otimes__class_Otimes( X, Z, Y ),
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z }.
% 0.90/1.29 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.29 , ! c_Groups_Otimes__class_Otimes( X, T, Y ) = Z, T =
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.90/1.29 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.29 c_Power_Opower__class_Opower( X, c_Rings_Oinverse__class_Odivide( X, T, Y
% 0.90/1.29 ), Z ) = c_Rings_Oinverse__class_Odivide( X,
% 0.90/1.29 c_Power_Opower__class_Opower( X, T, Z ), c_Power_Opower__class_Opower( X
% 0.90/1.29 , Y, Z ) ) }.
% 0.90/1.29 { ! class_Fields_Olinordered__field( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.90/1.29 X ), c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.90/1.29 , Y ) ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oabs__class_Oabs(
% 0.90/1.29 X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.90/1.29 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.29 class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.90/1.29 ) ) ) ) ) }.
% 0.90/1.29 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.29 class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.90/1.29 ) ) ) ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero
% 0.90/1.29 ( X ), Y ) }.
% 0.90/1.29 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.29 class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.90/1.29 ) ) ) ) ) }.
% 0.90/1.29 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.90/1.29 , c_Groups_Ozero__class_Ozero( X ), c_Power_Opower__class_Opower( X, Y,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.29 c_Int_OPls ) ) ) ) ), ! Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.29 { ! class_Rings_Olinordered__idom( X ), Y = c_Groups_Ozero__class_Ozero( X
% 0.90/1.29 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.29 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.90/1.29 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.90/1.29 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.90/1.29 , c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.90/1.29 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.29 { ! class_Rings_Olinordered__semidom( X ), ! c_Power_Opower__class_Opower(
% 0.90/1.29 X, Z, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0(
% 0.90/1.29 c_Int_OBit1( c_Int_OPls ) ) ) ) = c_Power_Opower__class_Opower( X, Y,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.29 c_Int_OPls ) ) ) ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.29 ), Z = Y }.
% 0.90/1.29 { ! class_Rings_Olinordered__semidom( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X, Z
% 0.90/1.29 , c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1
% 0.90/1.29 ( c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.29 c_Int_OPls ) ) ) ) ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless__eq
% 0.90/1.29 ( X, Z, Y ) }.
% 0.90/1.29 { ! class_Rings_Olinordered__idom( X ), c_Orderings_Oord__class_Oless__eq(
% 0.90/1.29 X, c_Groups_Ozero__class_Ozero( X ), c_Power_Opower__class_Opower( X, Y,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.29 c_Int_OPls ) ) ) ) ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt(
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.90/1.29 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt(
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.90/1.29 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.90/1.29 { ! class_RealVector_Oreal__field( X ), c_Rings_Oinverse__class_Odivide( X
% 0.90/1.29 , c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, W,
% 0.90/1.29 U ), c_Groups_Otimes__class_Otimes( X, T, Z ) ), Y ) =
% 0.90/1.29 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W,
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X, U,
% 0.90/1.29 Z ), Y ) ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X, W,
% 0.90/1.29 T ), Y ), Z ) ) }.
% 0.90/1.29 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.90/1.29 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.29 c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.90/1.29 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.90/1.29 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.90/1.29 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ), ! Z =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.29 }.
% 0.90/1.29 { ! class_Rings_Olinordered__idom( X ), Z = c_Groups_Ozero__class_Ozero( X
% 0.90/1.29 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.29 c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.29 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.29 c_Int_OPls ) ) ) ) ) ) }.
% 0.90/1.29 { ! class_Rings_Olinordered__idom( X ), Y = c_Groups_Ozero__class_Ozero( X
% 0.90/1.29 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.29 c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.29 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.29 c_Int_OPls ) ) ) ) ) ) }.
% 0.90/1.29 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.90/1.29 , c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.29 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.29 c_Int_OPls ) ) ) ) ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.29 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.90/1.29 ( X, c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.29 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.29 c_Int_OPls ) ) ) ) ), c_Groups_Ozero__class_Ozero( X ) ), Z =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.29 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.90/1.29 ( X, c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.29 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.29 c_Int_OPls ) ) ) ) ), c_Groups_Ozero__class_Ozero( X ) ), Y =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.29 { ! class_Rings_Olinordered__idom( X ), ! Z = c_Groups_Ozero__class_Ozero(
% 0.90/1.29 X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.90/1.29 c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.90/1.29 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.90/1.29 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.90/1.29 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ),
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.29 { ! class_Rings_Olinordered__idom( X ), c_Orderings_Oord__class_Oless__eq(
% 0.90/1.29 X, c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.29 c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.90/1.29 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.90/1.29 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.90/1.29 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ) }.
% 0.90/1.29 { ! class_Rings_Olinordered__idom( X ), c_Orderings_Oord__class_Oless__eq(
% 0.90/1.29 X, c_Groups_Ozero__class_Ozero( X ), c_Power_Opower__class_Opower( X, Z,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.29 c_Int_OPls ) ) ), Y ) ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y,
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.90/1.29 c_Int_OBit1( c_Int_OPls ) ) ) ) ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.29 tc_RealDef_Oreal, Z, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X
% 0.90/1.29 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.90/1.29 c_Int_OBit1( c_Int_OPls ) ) ) ) ), ! c_Orderings_Oord__class_Oless__eq(
% 0.90/1.29 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Z ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_NthRoot_Osqrt(
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.29 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.29 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Z,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.29 c_Int_OPls ) ) ) ) ) ), X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.90/1.29 c_Power_Opower__class_Opower( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.29 c_Int_OPls ) ) ) ) ) }.
% 0.90/1.29 { ! c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.29 c_Int_OPls ) ) ) ) = X, ! c_Orderings_Oord__class_Oless__eq(
% 0.90/1.29 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.90/1.29 c_NthRoot_Osqrt( X ) = Y }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.90/1.29 c_Power_Opower__class_Opower( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.29 c_Int_OPls ) ) ) ) = X }.
% 0.90/1.29 { ! c_Power_Opower__class_Opower( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.29 c_Int_OPls ) ) ) ) = X, c_Orderings_Oord__class_Oless__eq(
% 0.90/1.29 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }
% 0.90/1.29 .
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.90/1.29 c_Power_Opower__class_Opower( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.29 c_Int_OPls ) ) ) ) = X }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, c_NthRoot_Osqrt(
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.90/1.29 c_Int_OBit1( c_Int_OPls ) ) ) ) ), X ) }.
% 0.90/1.29 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, T,
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( X, T, Y ) ), Y ) }.
% 0.90/1.29 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.29 c_Groups_Oplus__class_Oplus( X, T, c_Rings_Oinverse__class_Odivide( X, Z
% 0.90/1.29 , Y ) ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus
% 0.90/1.29 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ), Z ), Y ) }.
% 0.90/1.29 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) =
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), Y ) }.
% 0.90/1.29 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.29 c_Groups_Oplus__class_Oplus( X, c_Rings_Oinverse__class_Odivide( X, T, Y
% 0.90/1.29 ), Z ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus
% 0.90/1.29 ( X, T, c_Groups_Otimes__class_Otimes( X, Y, Z ) ), Y ) }.
% 0.90/1.29 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( X, U, Y ),
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( X, T, Z ) ) =
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.90/1.29 X, T, Y ) ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.90/1.29 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.90/1.29 c_Int_OBit0( Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.90/1.29 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), ! T
% 0.90/1.29 = c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of
% 0.90/1.29 ( X, Y ) ), alpha56( X, Y, Z, T ) }.
% 0.90/1.29 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), ! T
% 0.90/1.29 = c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of
% 0.90/1.29 ( X, Y ) ), alpha23( X, Y, T ) }.
% 0.90/1.29 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.90/1.29 alpha56( X, Y, Z, T ), ! alpha23( X, Y, T ), T =
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.90/1.29 X, Y ) ) }.
% 0.90/1.29 { ! alpha56( X, Y, Z, T ), c_Int_Onumber__class_Onumber__of( X, Y ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, T,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( X, Y ) ) = Z }.
% 0.90/1.29 { ! c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero
% 0.90/1.29 ( X ), alpha56( X, Y, Z, T ) }.
% 0.90/1.29 { ! c_Groups_Otimes__class_Otimes( X, T, c_Int_Onumber__class_Onumber__of(
% 0.90/1.29 X, Y ) ) = Z, alpha56( X, Y, Z, T ) }.
% 0.90/1.29 { ! alpha23( X, Y, Z ), ! c_Int_Onumber__class_Onumber__of( X, Y ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.90/1.29 .
% 0.90/1.29 { c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.90/1.29 ), alpha23( X, Y, Z ) }.
% 0.90/1.29 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha23( X, Y, Z ) }.
% 0.90/1.29 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( X, T ) =
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha57( X, Y, Z, T ) }.
% 0.90/1.29 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( X, T ) =
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha24( X, Y, T ) }.
% 0.90/1.29 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.90/1.29 alpha57( X, Y, Z, T ), ! alpha24( X, Y, T ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( X, T ) =
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.90/1.29 { ! alpha57( X, Y, Z, T ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.90/1.29 ), Y ) = Z }.
% 0.90/1.29 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha57( X, Y, Z, T ) }.
% 0.90/1.29 { ! c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 0.90/1.29 T ), Y ) = Z, alpha57( X, Y, Z, T ) }.
% 0.90/1.29 { ! alpha24( X, Y, Z ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero( X
% 0.90/1.29 ) }.
% 0.90/1.29 { Y = c_Groups_Ozero__class_Ozero( X ), alpha24( X, Y, Z ) }.
% 0.90/1.29 { ! c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero
% 0.90/1.29 ( X ), alpha24( X, Y, Z ) }.
% 0.90/1.29 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( X, T, Z ) =
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( X, Y ), alpha58( X, Y, Z, T ) }.
% 0.90/1.29 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( X, T, Z ) =
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( X, Y ), alpha25( X, Y, Z ) }.
% 0.90/1.29 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.90/1.29 alpha58( X, Y, Z, T ), ! alpha25( X, Y, Z ),
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( X, T, Z ) =
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.90/1.29 { ! alpha58( X, Y, Z, T ), Z = c_Groups_Ozero__class_Ozero( X ), T =
% 0.90/1.29 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.90/1.29 ), Z ) }.
% 0.90/1.29 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha58( X, Y, Z, T ) }.
% 0.90/1.29 { ! T = c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of
% 0.90/1.29 ( X, Y ), Z ), alpha58( X, Y, Z, T ) }.
% 0.90/1.29 { ! alpha25( X, Y, Z ), ! Z = c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.90/1.29 ) }.
% 0.90/1.29 { Z = c_Groups_Ozero__class_Ozero( X ), alpha25( X, Y, Z ) }.
% 0.90/1.29 { ! c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero
% 0.90/1.29 ( X ), alpha25( X, Y, Z ) }.
% 0.90/1.29 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.90/1.29 X, Z ) ) = Y, alpha59( X, Y, Z, T ) }.
% 0.90/1.29 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.90/1.29 X, Z ) ) = Y, alpha26( X, Y, Z ) }.
% 0.90/1.29 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.90/1.29 alpha59( X, Y, Z, T ), ! alpha26( X, Y, Z ),
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.90/1.29 X, Z ) ) = Y }.
% 0.90/1.29 { ! alpha59( X, Y, Z, T ), c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), T = c_Groups_Otimes__class_Otimes( X, Y
% 0.90/1.29 , c_Int_Onumber__class_Onumber__of( X, Z ) ) }.
% 0.90/1.29 { ! c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero
% 0.90/1.29 ( X ), alpha59( X, Y, Z, T ) }.
% 0.90/1.29 { ! T = c_Groups_Otimes__class_Otimes( X, Y,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha59( X, Y, Z, T ) }.
% 0.90/1.29 { ! alpha26( X, Y, Z ), ! c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.90/1.29 .
% 0.90/1.29 { c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero( X
% 0.90/1.29 ), alpha26( X, Y, Z ) }.
% 0.90/1.29 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha26( X, Y, Z ) }.
% 0.90/1.29 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber__ring( X )
% 0.90/1.29 , c_Rings_Oinverse__class_Odivide( X, Y, c_Int_Onumber__class_Onumber__of
% 0.90/1.29 ( X, c_Int_OPls ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, c_NthRoot_Osqrt(
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) ) ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt(
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.29 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.29 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.29 c_Int_OPls ) ) ) ) ) ) ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt(
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.29 c_Power_Opower__class_Opower( tc_RealDef_Oreal, T,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.29 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Z,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.29 c_Int_OPls ) ) ) ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.29 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.29 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.29 c_Int_OPls ) ) ) ) ) ) ) ) }.
% 0.90/1.29 { ! class_Rings_Oring__1__no__zero__divisors( X ), !
% 0.90/1.29 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.90/1.29 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.90/1.29 .
% 0.90/1.29 { ! class_Rings_Oring__1__no__zero__divisors( X ), ! Y =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), c_Power_Opower__class_Opower( X, Y,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.29 c_Int_OPls ) ) ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.29 { ! class_Rings_Osemiring__1( X ), c_Power_Opower__class_Opower( X,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of(
% 0.90/1.29 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.29 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.90/1.29 c_Int_OBit1( c_Int_OPls ) ) ) ), X ) = c_Rings_Oinverse__class_Odivide(
% 0.90/1.29 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X )
% 0.90/1.29 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.90/1.29 c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.90/1.29 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.90/1.29 c_Int_OBit1( c_Int_OPls ) ) ) ), Y ) = c_Rings_Oinverse__class_Odivide(
% 0.90/1.29 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y )
% 0.90/1.29 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.90/1.29 c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.90/1.29 { ! class_Rings_Olinordered__idom( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.90/1.29 c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.90/1.29 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.90/1.29 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.90/1.29 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.90/1.29 .
% 0.90/1.29 { ! class_Rings_Olinordered__idom( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.90/1.29 c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.90/1.29 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.90/1.29 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.90/1.29 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.90/1.29 .
% 0.90/1.29 { ! class_Rings_Olinordered__idom( X ), ! Z = c_Groups_Ozero__class_Ozero(
% 0.90/1.29 X ), ! Y = c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus
% 0.90/1.29 ( X, c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of
% 0.90/1.29 ( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.90/1.29 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.90/1.29 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.29 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.90/1.29 ( X, c_Power_Opower__class_Opower( X, Y, c_Groups_Otimes__class_Otimes(
% 0.90/1.29 tc_Nat_Onat, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0(
% 0.90/1.29 c_Int_OBit1( c_Int_OPls ) ) ), Z ) ), c_Groups_Ozero__class_Ozero( X ) )
% 0.90/1.29 , Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.90/1.29 c_Int_OBit1( c_Int_OPls ) ) ) ), X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y,
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.90/1.29 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.90/1.29 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.29 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.29 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.29 c_Int_OPls ) ) ) ) ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y
% 0.90/1.29 = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.90/1.29 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.29 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.29 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.29 c_Int_OPls ) ) ) ) ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X
% 0.90/1.29 = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.90/1.29 { ! Y = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! X =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.29 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.29 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.29 c_Int_OPls ) ) ) ) ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }
% 0.90/1.29 .
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X,
% 0.90/1.29 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Z ) ) ), Y =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( X, c_Groups_Oplus__class_Oplus( X, U, T )
% 0.90/1.29 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) ), c_Groups_Oplus__class_Oplus
% 0.90/1.29 ( X, c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, U, Z
% 0.90/1.29 ) ), c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, T,
% 0.90/1.29 Y ) ) ) ) }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( X, Z, Y ) ), c_Groups_Oplus__class_Oplus(
% 0.90/1.29 X, c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) )
% 0.90/1.29 ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.29 ( tc_Nat_Onat ), c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.29 tc_Nat_Onat ), Y ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.29 ( tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.90/1.29 ( tc_Nat_Onat, Y, X ) ) }.
% 0.90/1.29 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.29 tc_Nat_Onat ), c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.90/1.29 ( tc_Int_Oint ), c_Power_Opower__class_Opower( tc_Int_Oint,
% 0.90/1.29 c_Groups_Oabs__class_Oabs( tc_Int_Oint, Y ), X ) ), ! Y =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.29 { Y = c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.90/1.29 tc_Int_Oint ), c_Power_Opower__class_Opower( tc_Int_Oint,
% 0.90/1.29 c_Groups_Oabs__class_Oabs( tc_Int_Oint, Y ), X ) ) }.
% 0.90/1.29 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.90/1.29 tc_Int_Oint ), c_Power_Opower__class_Opower( tc_Int_Oint,
% 0.90/1.29 c_Groups_Oabs__class_Oabs( tc_Int_Oint, Y ), X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.29 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.29 c_Power_Opower__class_Opower( tc_Nat_Onat, X, Z ),
% 0.90/1.29 c_Power_Opower__class_Opower( tc_Nat_Onat, X, Y ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, T, Z ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.90/1.29 tc_Int_Oint, Y, T ), c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Z ) ) }
% 0.90/1.29 .
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Y ), Y = X }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Z ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, Z ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), Y = X,
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Y ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), ! Y = X }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), Y = X,
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ominus__class_Ominus
% 0.90/1.29 ( tc_Int_Oint, Y, X ), c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ),
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Y ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.29 ( tc_Nat_Onat ), c_Power_Opower__class_Opower( tc_Nat_Onat, Y,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Orderings_Oord__class_Oless
% 0.90/1.29 ( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ) }.
% 0.90/1.29 { ! c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Orderings_Oord__class_Oless
% 0.90/1.29 ( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.90/1.29 c_Power_Opower__class_Opower( tc_Nat_Onat, Y,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.29 ( tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.90/1.29 ( tc_Nat_Onat, Y, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) )
% 0.90/1.29 }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.29 ( tc_Nat_Onat ), c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) ), X =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.29 tc_Nat_Onat ), Y ) }.
% 0.90/1.29 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.29 tc_Nat_Onat ), c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.29 ( tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.90/1.29 ( tc_Nat_Onat, Y, X ) ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ),
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ),
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ),
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ),
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.90/1.29 tc_Int_Oint ), Z ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), X =
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol1( X, Y ) ) }.
% 0.90/1.29 { ! X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Power_Opower__class_Opower
% 0.90/1.29 ( tc_Int_Oint, c_Groups_Oabs__class_Oabs( tc_Int_Oint, Y ), X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.29 ( tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.29 tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit1( X
% 0.90/1.29 ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit1( X )
% 0.90/1.29 ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( X ),
% 0.90/1.29 c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls )
% 0.90/1.29 }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( X ),
% 0.90/1.29 c_Int_OPls ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.90/1.29 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.90/1.29 ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1
% 0.90/1.29 ( X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.90/1.29 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.90/1.29 ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1
% 0.90/1.29 ( X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.90/1.29 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.90/1.29 .
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.90/1.29 c_Int_OBit0( X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.90/1.29 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.90/1.29 .
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.90/1.29 c_Int_OBit0( X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ), alpha27( X, Y ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.90/1.29 { ! alpha27( X, Y ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.90/1.29 { ! alpha27( X, Y ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), alpha27( X, Y ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ), alpha27( X
% 0.90/1.29 , Y ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.90/1.29 { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) =
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ),
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) =
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) }.
% 0.90/1.29 { ! c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.90/1.29 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.90/1.29 .
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1
% 0.90/1.29 ( X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.90/1.29 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.90/1.29 .
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1
% 0.90/1.29 ( X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OPls ) }
% 0.90/1.29 .
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.90/1.29 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.90/1.29 .
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0
% 0.90/1.29 ( X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.90/1.29 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.90/1.29 .
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0
% 0.90/1.29 ( X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.90/1.29 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.90/1.29 ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.90/1.29 c_Int_OBit1( X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.90/1.29 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.90/1.29 ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.90/1.29 c_Int_OBit1( X ) ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OPls )
% 0.90/1.29 }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.90/1.29 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.90/1.29 ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.90/1.29 c_Int_OBit0( X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.90/1.29 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.90/1.29 ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.90/1.29 c_Int_OBit0( X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.90/1.29 tc_Int_Oint, Y, Z ), c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Z ) ) }
% 0.90/1.29 .
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, Y ),
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) }.
% 0.90/1.29 { c_Int_OPls = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.90/1.29 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Ozero__class_Ozero
% 0.90/1.29 ( tc_Int_Oint ) ) = X }.
% 0.90/1.29 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.90/1.29 tc_Int_Oint ), X ) = X }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.29 tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0
% 0.90/1.29 ( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, c_Int_OPls ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Z ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ), X ) ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, c_Int_OPls ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Z ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ), X ) ) =
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ) ), X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ),
% 0.90/1.29 c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls )
% 0.90/1.29 }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ), c_Int_OPls
% 0.90/1.29 ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.90/1.29 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.90/1.29 .
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0
% 0.90/1.29 ( X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.90/1.29 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.90/1.29 .
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0
% 0.90/1.29 ( X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit0( X
% 0.90/1.29 ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit0( X )
% 0.90/1.29 ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ),
% 0.90/1.29 c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls )
% 0.90/1.29 }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ), c_Int_OPls
% 0.90/1.29 ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit1
% 0.90/1.29 ( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X )
% 0.90/1.29 }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit1(
% 0.90/1.29 X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.90/1.29 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.90/1.29 ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.90/1.29 c_Int_OBit1( X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.90/1.29 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.90/1.29 ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.90/1.29 c_Int_OBit1( X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit0
% 0.90/1.29 ( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X )
% 0.90/1.29 }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit0(
% 0.90/1.29 X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( X ),
% 0.90/1.29 c_Int_OPls ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X,
% 0.90/1.29 c_Int_OPls ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( X ),
% 0.90/1.29 c_Int_OPls ) }.
% 0.90/1.29 { c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) =
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OPls ) }.
% 0.90/1.29 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OPls ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.29 { c_Groups_Ozero__class_Ozero( tc_Int_Oint ) =
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OPls ) }.
% 0.90/1.29 { ! class_Rings_Olinordered__semidom( X ), ! c_Power_Opower__class_Opower(
% 0.90/1.29 X, T, Z ) = c_Power_Opower__class_Opower( X, Y, Z ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.90/1.29 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.90/1.29 X ), Y ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Z ), T = Y }.
% 0.90/1.29 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ),
% 0.90/1.29 c_Power_Opower__class_Opower( X, Y, c_Groups_Ominus__class_Ominus(
% 0.90/1.29 tc_Nat_Onat, Z, T ) ) = c_Rings_Oinverse__class_Odivide( X,
% 0.90/1.29 c_Power_Opower__class_Opower( X, Y, Z ), c_Power_Opower__class_Opower( X
% 0.90/1.29 , Y, T ) ) }.
% 0.90/1.29 { ! class_Groups_Ozero( X ), ! c_Groups_Ozero__class_Ozero( X ) = Y, Y =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.29 { ! class_Groups_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ) = Y }.
% 0.90/1.29 { ! class_Groups_Oab__semigroup__mult( X ), c_Groups_Otimes__class_Otimes(
% 0.90/1.29 X, c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.90/1.29 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.90/1.29 , Y ) ) }.
% 0.90/1.29 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.90/1.29 c_Groups_Oplus__class_Oplus( X, Z, T ) = c_Groups_Oplus__class_Oplus( X,
% 0.90/1.29 Y, T ), Z = Y }.
% 0.90/1.29 { ! class_Groups_Ocancel__ab__semigroup__add( X ), !
% 0.90/1.29 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.90/1.29 T, Y ), Z = Y }.
% 0.90/1.29 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.90/1.29 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.90/1.29 T, Y ), Z = Y }.
% 0.90/1.29 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.90/1.29 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.90/1.29 Y, Z ), T = Y }.
% 0.90/1.29 { ! class_Groups_Ocancel__semigroup__add( X ), ! T = Y,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.90/1.29 Y, Z ) }.
% 0.90/1.29 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.90/1.29 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.90/1.29 T, Y ), Z = Y }.
% 0.90/1.29 { ! class_Groups_Ocancel__semigroup__add( X ), ! Z = Y,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.90/1.29 T, Y ) }.
% 0.90/1.29 { ! class_Groups_Oab__semigroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.90/1.29 ( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y ) ) }.
% 0.90/1.29 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.90/1.29 U, T ) = c_Groups_Ominus__class_Ominus( X, Z, Y ), ! U = T, Z = Y }.
% 0.90/1.29 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.90/1.29 U, T ) = c_Groups_Ominus__class_Ominus( X, Z, Y ), ! Z = Y, U = T }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Y ), Y = X }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Z ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, Z ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Y ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, X ) }.
% 0.90/1.29 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, Y ), X ) =
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.90/1.29 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) =
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.90/1.29 c_Groups_Oabs__class_Oabs( X, c_Groups_Oabs__class_Oabs( X, Y ) ) =
% 0.90/1.29 c_Groups_Oabs__class_Oabs( X, Y ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 0.90/1.29 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.90/1.29 , c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.90/1.29 { ! class_Groups_Omonoid__add( X ), c_Groups_Oplus__class_Oplus( X, Y,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.90/1.29 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ) = c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.90/1.29 , Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.29 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ozero__class_Ozero( X ) =
% 0.90/1.29 c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 0.90/1.29 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.90/1.29 { ! class_Groups_Omonoid__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.90/1.29 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.90/1.29 T ), c_Groups_Oplus__class_Oplus( X, Y, T ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.90/1.29 U ), c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.90/1.29 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.90/1.29 T ), c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.90/1.29 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.90/1.29 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.90/1.29 Z ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.90/1.29 Z ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.90/1.29 , c_Groups_Oplus__class_Oplus( X, T, Y ) ), c_Orderings_Oord__class_Oless
% 0.90/1.29 ( X, Z, Y ) }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Z, T )
% 0.90/1.29 , c_Groups_Oplus__class_Oplus( X, Y, T ) ), c_Orderings_Oord__class_Oless
% 0.90/1.29 ( X, Z, Y ) }.
% 0.90/1.29 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.90/1.29 ( X, U, T ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( X, Z, U ), c_Groups_Oplus__class_Oplus( X, Y
% 0.90/1.29 , T ) ) }.
% 0.90/1.29 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.90/1.29 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.90/1.29 , T, Y ) ) }.
% 0.90/1.29 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.90/1.29 X, c_Groups_Oplus__class_Oplus( X, Z, T ), c_Groups_Oplus__class_Oplus( X
% 0.90/1.29 , Y, T ) ) }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.90/1.29 , c_Groups_Oplus__class_Oplus( X, T, Y ) ), c_Orderings_Oord__class_Oless
% 0.90/1.29 ( X, Z, Y ) }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.90/1.29 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.90/1.29 , T, Y ) ) }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.90/1.29 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ), c_Orderings_Oord__class_Oless
% 0.90/1.29 ( X, T, Y ) }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( X, T, Y ), c_Orderings_Oord__class_Oless(
% 0.90/1.29 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.90/1.29 , Y, Z ) ) }.
% 0.90/1.29 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ominus__class_Ominus( X, Z, Y
% 0.90/1.29 ) = c_Groups_Ozero__class_Ozero( X ), Z = Y }.
% 0.90/1.29 { ! class_Groups_Ogroup__add( X ), ! Z = Y, c_Groups_Ominus__class_Ominus(
% 0.90/1.29 X, Z, Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.29 { ! class_Groups_Oab__group__add( X ), ! Z = Y,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.90/1.29 ) }.
% 0.90/1.29 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.90/1.29 Z, Y ) = c_Groups_Ozero__class_Ozero( X ), Z = Y }.
% 0.90/1.29 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Y, Y )
% 0.90/1.29 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.29 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Y,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.90/1.29 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.90/1.29 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.90/1.29 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.90/1.29 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, U, T ) }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.90/1.29 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.90/1.29 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, U, T ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.90/1.29 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.90/1.29 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, Z, Y ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( X, U, T ) }.
% 0.90/1.29 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( X, Z, Y ), Y ) = Z }.
% 0.90/1.29 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( X, Z, Y ), Y ) = Z }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.90/1.29 c_Groups_Oabs__class_Oabs( X, Y ) = c_Groups_Ozero__class_Ozero( X ), Y =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__group__add__abs( X ), ! Y =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oabs__class_Oabs( X, Y ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.90/1.29 c_Groups_Oabs__class_Oabs( X, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.90/1.29 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Oabs__class_Oabs( X, Y
% 0.90/1.29 ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ),
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ),
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), Y = X }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.90/1.29 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), ! Y = X }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), Y = X,
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ) }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.90/1.29 c_Groups_Oabs__class_Oabs( X, c_Groups_Oplus__class_Oplus( X,
% 0.90/1.29 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ) )
% 0.90/1.29 = c_Groups_Oplus__class_Oplus( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.90/1.29 c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.90/1.29 c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Z, Y ) )
% 0.90/1.29 = c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Y, Z )
% 0.90/1.29 ) }.
% 0.90/1.29 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ) =
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ), Z = Y }.
% 0.90/1.29 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! Z = Y,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ) =
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) }.
% 0.90/1.29 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ) =
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ), Z = Y }.
% 0.90/1.29 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! Z = Y,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ) =
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, Y ),
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, X ) ) }.
% 0.90/1.29 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, Y ), X ) =
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.90/1.29 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.29 c_Groups_Oplus__class_Oplus( X, Y, Y ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.29 ) }.
% 0.90/1.29 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.29 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.90/1.29 ), c_Groups_Oplus__class_Oplus( X, Y, Y ) ) }.
% 0.90/1.29 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Y,
% 0.90/1.29 Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.29 ) }.
% 0.90/1.29 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.29 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X
% 0.90/1.29 , Y, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.29 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.29 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.90/1.29 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Z )
% 0.90/1.29 ) }.
% 0.90/1.29 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.29 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.90/1.29 X ), Z ), ! c_Groups_Oplus__class_Oplus( X, Y, Z ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.90/1.29 .
% 0.90/1.29 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.29 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.90/1.29 X ), Z ), ! c_Groups_Oplus__class_Oplus( X, Y, Z ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.90/1.29 .
% 0.90/1.29 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.29 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.90/1.29 X ), Z ), ! Y = c_Groups_Ozero__class_Ozero( X ), ! Z =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Z )
% 0.90/1.29 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.29 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.29 ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oplus__class_Oplus( X,
% 0.90/1.29 Y, Z ) ) }.
% 0.90/1.29 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.29 ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oplus__class_Oplus( X,
% 0.90/1.29 Z, Y ) ) }.
% 0.90/1.29 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.29 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.29 , c_Groups_Oplus__class_Oplus( X, Y, Z ), c_Groups_Ozero__class_Ozero( X
% 0.90/1.29 ) ) }.
% 0.90/1.29 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.29 c_Groups_Oplus__class_Oplus( X, Y, Y ) ), c_Orderings_Oord__class_Oless(
% 0.90/1.29 X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.90/1.29 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.29 c_Groups_Oplus__class_Oplus( X, Y, Y ) ) }.
% 0.90/1.29 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.90/1.29 , c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Y
% 0.90/1.29 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.29 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.90/1.29 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.29 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.90/1.29 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.90/1.29 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.29 c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.90/1.29 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.90/1.29 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.90/1.29 , c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.90/1.29 ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.29 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Z, U )
% 0.90/1.29 , c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.90/1.29 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( X, U, T ), c_Orderings_Oord__class_Oless(
% 0.90/1.29 X, c_Groups_Oplus__class_Oplus( X, Z, U ), c_Groups_Oplus__class_Oplus( X
% 0.90/1.29 , Y, T ) ) }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X, Z
% 0.90/1.29 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X, Z
% 0.90/1.29 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.90/1.29 X, c_Groups_Ominus__class_Ominus( X, Z, Y ), c_Groups_Ozero__class_Ozero
% 0.90/1.29 ( X ) ) }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( X, c_Groups_Ominus__class_Ominus( X, Z, Y
% 0.90/1.29 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.90/1.29 , Z, Y ) }.
% 0.90/1.29 { ! class_Rings_Oring( X ), c_Groups_Ominus__class_Ominus( X,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.90/1.29 X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( X, U, c_Groups_Ominus__class_Ominus( X, T
% 0.90/1.29 , Y ) ), c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus
% 0.90/1.29 ( X, U, Z ), Y ) ) }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.29 ), c_Groups_Oabs__class_Oabs( X, Y ) = Y }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Y ),
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ) ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.29 }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__group__add__abs( X ), ! Y =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.29 c_Groups_Oabs__class_Oabs( X, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.29 c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.90/1.29 c_Groups_Oabs__class_Oabs( X, Y ) = Y }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.29 c_Groups_Oabs__class_Oabs( X, Y ) ), ! Y = c_Groups_Ozero__class_Ozero( X
% 0.90/1.29 ) }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__group__add__abs( X ), Y =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( X, c_Groups_Oabs__class_Oabs( X, Y ),
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( X, Z, Y ) ), c_Groups_Oplus__class_Oplus( X
% 0.90/1.29 , c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) )
% 0.90/1.29 ) }.
% 0.90/1.29 { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), !
% 0.90/1.29 class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.90/1.29 , ! c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of
% 0.90/1.29 ( tc_Nat_Onat, Y ) ) = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.29 { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), !
% 0.90/1.29 class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.90/1.29 , ! c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of
% 0.90/1.29 ( tc_Nat_Onat, Y ) ) = c_Groups_Ozero__class_Ozero( X ), !
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.29 { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), !
% 0.90/1.29 class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.90/1.29 , ! Z = c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.90/1.29 ( X, Z, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X,
% 0.90/1.29 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ),
% 0.90/1.29 c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Y, Z ) )
% 0.90/1.29 ) }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X,
% 0.90/1.29 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ),
% 0.90/1.29 c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Z, Y ) )
% 0.90/1.29 ) }.
% 0.90/1.29 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.90/1.29 c_Groups_Oabs__class_Oabs( X, Y ) ) ), c_Groups_Oabs__class_Oabs( X,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ), alpha28( X,
% 0.90/1.29 Y ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ), alpha60( X,
% 0.90/1.29 Y ) }.
% 0.90/1.29 { ! alpha28( X, Y ), ! alpha60( X, Y ), c_Orderings_Oord__class_Oless__eq(
% 0.90/1.29 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ) }.
% 0.90/1.29 { ! alpha60( X, Y ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), alpha60( X, Y ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), alpha60( X, Y ) }.
% 0.90/1.29 { ! alpha28( X, Y ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y
% 0.90/1.29 , c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), alpha28( X, Y ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), alpha28( X, Y ) }.
% 0.90/1.29 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.90/1.29 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.90/1.29 { ! Y = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! X =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.90/1.29 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.90/1.29 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.29 , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.29 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.90/1.29 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.29 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.29 , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.29 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.90/1.29 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.90/1.29 ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.90/1.29 ) ) }.
% 0.90/1.29 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.29 ), ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.90/1.29 ) ) }.
% 0.90/1.29 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.90/1.29 ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.90/1.29 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.90/1.29 , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.29 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.29 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.90/1.29 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.90/1.29 , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.29 { ! v_y____ = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.90/1.29 c_Power_Opower__class_Opower( tc_Complex_Ocomplex,
% 0.90/1.29 c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt( v_z ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.29 c_Int_OPls ) ) ) ) = v_z }.
% 0.90/1.29 { c_NthRoot_Osqrt( c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.90/1.29 c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_NthRoot_Osqrt(
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_x____, v_x____ ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_y____, v_y____ ) ) ),
% 0.90/1.29 v_x____ ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0(
% 0.90/1.29 c_Int_OBit1( c_Int_OPls ) ) ) ), c_Int_Onumber__class_Onumber__of(
% 0.90/1.29 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) )
% 0.90/1.29 ) ) ) = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_NthRoot_Osqrt(
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_x____, v_x____ ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_y____, v_y____ ) ) ),
% 0.90/1.29 v_x____ ), c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 0.90/1.29 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_NthRoot_Osqrt(
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_x____, v_x____ ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_y____, v_y____ ) ) ),
% 0.90/1.29 v_x____ ), c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 0.90/1.29 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.90/1.29 { c_NthRoot_Osqrt( c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.90/1.29 c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_NthRoot_Osqrt(
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_x____, v_x____ ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_y____, v_y____ ) ) ),
% 0.90/1.29 v_x____ ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0(
% 0.90/1.29 c_Int_OBit1( c_Int_OPls ) ) ) ), c_Int_Onumber__class_Onumber__of(
% 0.90/1.29 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) )
% 0.90/1.29 ) ) ) = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_NthRoot_Osqrt(
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_x____, v_x____ ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_y____, v_y____ ) ) ),
% 0.90/1.29 v_x____ ), c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 0.90/1.29 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_NthRoot_Osqrt(
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_x____, v_x____ ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_y____, v_y____ ) ) ),
% 0.90/1.29 v_x____ ), c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 0.90/1.29 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.90/1.29 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_NthRoot_Osqrt(
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_NthRoot_Osqrt(
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_x____, v_x____ ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_y____, v_y____ ) ) ),
% 0.90/1.29 v_x____ ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_NthRoot_Osqrt
% 0.90/1.29 ( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_x____, v_x____ ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_y____, v_y____ ) ) ),
% 0.90/1.29 v_x____ ) ), c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 0.90/1.29 c_Int_OBit0( c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ),
% 0.90/1.29 c_NthRoot_Osqrt( c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_NthRoot_Osqrt(
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_x____, v_x____ ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_y____, v_y____ ) ) ),
% 0.90/1.29 v_x____ ), c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.90/1.29 c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_x____, v_x____ ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_y____, v_y____ ) ) ),
% 0.90/1.29 v_x____ ) ), c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 0.90/1.29 c_Int_OBit0( c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ) ) = v_x____
% 0.90/1.29 }.
% 0.90/1.29 { v_z = c_Complex_Ocomplex_OComplex( v_x____, v_y____ ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.29 c_Int_OPls ) ) ) ) }.
% 0.90/1.29 { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes
% 0.90/1.29 ( tc_Int_Oint, W, U ), T ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ), X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.90/1.29 tc_Int_Oint, c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ), X ),
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Int_Oint, T, W ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.90/1.29 tc_Int_Oint ), Z ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z,
% 0.90/1.29 W ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, U ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 0.90/1.29 tc_Int_Oint, U, T ), Z ), c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Int_Oint, U, Y ), X ) ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Int_Oint, U, X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Int_Oint, U, Z ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, T ) }.
% 0.90/1.29 { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes
% 0.90/1.29 ( tc_Int_Oint, W, U ), T ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ), X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oplus__class_Oplus(
% 0.90/1.29 tc_Int_Oint, c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ), X ) ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Z ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), T ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.90/1.29 tc_Int_Oint ), Z ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z,
% 0.90/1.29 W ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, U, Y ) }.
% 0.90/1.29 { ! c_Complex_Ocomplex_OComplex( Y, X ) = c_Groups_Ozero__class_Ozero(
% 0.90/1.29 tc_Complex_Ocomplex ), Y = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal
% 0.90/1.29 ) }.
% 0.90/1.29 { ! c_Complex_Ocomplex_OComplex( Y, X ) = c_Groups_Ozero__class_Ozero(
% 0.90/1.29 tc_Complex_Ocomplex ), X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal
% 0.90/1.29 ) }.
% 0.90/1.29 { ! Y = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! X =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.90/1.29 c_Complex_Ocomplex_OComplex( Y, X ) = c_Groups_Ozero__class_Ozero(
% 0.90/1.29 tc_Complex_Ocomplex ) }.
% 0.90/1.29 { c_Groups_Ozero__class_Ozero( tc_Complex_Ocomplex ) =
% 0.90/1.29 c_Complex_Ocomplex_OComplex( c_Groups_Ozero__class_Ozero(
% 0.90/1.29 tc_RealDef_Oreal ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.90/1.29 { c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex,
% 0.90/1.29 c_Complex_Ocomplex_OComplex( T, Z ), c_Complex_Ocomplex_OComplex( Y, X )
% 0.90/1.29 ) = c_Complex_Ocomplex_OComplex( c_Groups_Oplus__class_Oplus(
% 0.90/1.29 tc_RealDef_Oreal, T, Y ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.29 Z, X ) ) }.
% 0.90/1.29 { c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex,
% 0.90/1.29 c_Complex_Ocomplex_OComplex( T, Z ), c_Complex_Ocomplex_OComplex( Y, X )
% 0.90/1.29 ) = c_Complex_Ocomplex_OComplex( c_Groups_Ominus__class_Ominus(
% 0.90/1.29 tc_RealDef_Oreal, T, Y ), c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal
% 0.90/1.29 , Z, X ) ) }.
% 0.90/1.29 { ! c_Complex_Ocomplex_OComplex( T, Z ) = c_Complex_Ocomplex_OComplex( Y, X
% 0.90/1.29 ), T = Y }.
% 0.90/1.29 { ! c_Complex_Ocomplex_OComplex( T, Z ) = c_Complex_Ocomplex_OComplex( Y, X
% 0.90/1.29 ), Z = X }.
% 0.90/1.29 { ! T = Y, ! Z = X, c_Complex_Ocomplex_OComplex( T, Z ) =
% 0.90/1.29 c_Complex_Ocomplex_OComplex( Y, X ) }.
% 0.90/1.29 { ! c_Complex_Ocomplex_OComplex( Z, Y ) = c_Int_Onumber__class_Onumber__of
% 0.90/1.29 ( tc_Complex_Ocomplex, X ), Z = c_Int_Onumber__class_Onumber__of(
% 0.90/1.29 tc_RealDef_Oreal, X ) }.
% 0.90/1.29 { ! c_Complex_Ocomplex_OComplex( Z, Y ) = c_Int_Onumber__class_Onumber__of
% 0.90/1.29 ( tc_Complex_Ocomplex, X ), Y = c_Groups_Ozero__class_Ozero(
% 0.90/1.29 tc_RealDef_Oreal ) }.
% 0.90/1.29 { ! Z = c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, X ), ! Y =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.90/1.29 c_Complex_Ocomplex_OComplex( Z, Y ) = c_Int_Onumber__class_Onumber__of(
% 0.90/1.29 tc_Complex_Ocomplex, X ) }.
% 0.90/1.29 { c_Groups_Otimes__class_Otimes( tc_Complex_Ocomplex,
% 0.90/1.29 c_Complex_Ocomplex_OComplex( T, Z ), c_Complex_Ocomplex_OComplex( Y, X )
% 0.90/1.29 ) = c_Complex_Ocomplex_OComplex( c_Groups_Ominus__class_Ominus(
% 0.90/1.29 tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, T, Y )
% 0.90/1.29 , c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ) ),
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, T, X ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, Y ) ) ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Ozero__class_Ozero(
% 0.90/1.29 tc_Int_Oint ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oplus__class_Oplus(
% 0.90/1.29 tc_Int_Oint, X, Y ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Otimes__class_Otimes
% 0.90/1.29 ( tc_Int_Oint, X, Y ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Power_Opower__class_Opower
% 0.90/1.29 ( tc_Int_Oint, X, Y ) ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit1( c_Int_OBit1(
% 0.90/1.29 c_Int_OPls ) ) ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oplus__class_Oplus(
% 0.90/1.29 tc_Int_Oint, c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ), X ) ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Z ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.90/1.29 tc_Int_Oint ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus
% 0.90/1.29 ( tc_Int_Oint, c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ), X ),
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.90/1.29 tc_Int_Oint ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 0.90/1.29 tc_Int_Oint, U, T ), Z ), c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Int_Oint, U, Y ), X ) ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Z ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, U ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, U ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, T, Y ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.29 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), T ),
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.29 tc_Nat_Onat, Y, U ), Z ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.29 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.90/1.29 , Z ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.29 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T ), Z ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.29 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), T ),
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.29 tc_Nat_Onat, Y, U ), Z ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.29 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), T ),
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.29 tc_Nat_Onat, X, U ), Z ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, T
% 0.90/1.29 , c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 0.90/1.29 ( tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z
% 0.90/1.29 ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.29 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 0.90/1.29 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.29 tc_Nat_Onat, Y, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ) ) }.
% 0.90/1.29 { v_z = c_Complex_Ocomplex_OComplex( skol2, skol10 ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( X ) ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit1( X ) ) ) }.
% 0.90/1.29 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ), Z =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y = X }.
% 0.90/1.29 { ! Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 0.90/1.29 { ! Y = X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 0.90/1.29 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.29 tc_Nat_Onat, T, Z ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, Z ), X ) ) =
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.29 tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, T, Y ), Z ), X ) }
% 0.90/1.29 .
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.29 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.29 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y
% 0.90/1.29 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.29 ( tc_Nat_Onat ), X ), ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z
% 0.90/1.29 ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ), Z = Y }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.29 ( tc_Nat_Onat ), X ), ! Z = Y, c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 0.90/1.29 , X, Z ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.29 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.29 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z
% 0.90/1.29 , Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OPls ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.29 tc_Nat_Onat, Y, U ), T ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ), T =
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.29 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 0.90/1.29 }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), ! T =
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.29 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 0.90/1.29 , c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 0.90/1.29 ( tc_Nat_Onat, Y, U ), T ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.29 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), T ),
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.29 tc_Nat_Onat, X, U ), Z ) ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.90/1.29 T, c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.90/1.29 ( tc_Nat_Onat, X, Y ), U ), Z ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.29 tc_Nat_Onat, Y, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.29 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 0.90/1.29 ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.29 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 0.90/1.29 ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.29 tc_Nat_Onat, Y, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.29 tc_Nat_Onat, X, U ), T ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), Z ),
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.29 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.90/1.29 = Z }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.29 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.90/1.29 = Z, c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), T ) =
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.29 tc_Nat_Onat, Y, U ), Z ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.29 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), T ),
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.29 tc_Nat_Onat, Y, U ), Z ) ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.29 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.90/1.29 , Z ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.29 tc_Nat_Onat, X, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), Z ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.29 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.90/1.29 , Z ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.29 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.90/1.29 , Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.29 tc_Nat_Onat, X, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), Z ) ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.90/1.29 { c_Complex_Ocomplex_Ocomplex__size( c_Complex_Ocomplex_OComplex( Y, X ) )
% 0.90/1.29 = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.29 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.90/1.29 , ! alpha29( X, Y, Z ) }.
% 0.90/1.29 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.90/1.29 , ! alpha61( X, Y, Z ) }.
% 0.90/1.29 { alpha29( X, Y, Z ), alpha61( X, Y, Z ), hBOOL( hAPP( Z,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) ) }.
% 0.90/1.29 { ! alpha61( X, Y, Z ), ! hBOOL( hAPP( Z, skol3( T, U, Z ) ) ) }.
% 0.90/1.29 { ! alpha61( X, Y, Z ), Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.90/1.29 skol3( X, Y, Z ) ) }.
% 0.90/1.29 { ! Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, T ), hBOOL( hAPP( Z, T
% 0.90/1.29 ) ), alpha61( X, Y, Z ) }.
% 0.90/1.29 { ! alpha29( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X )
% 0.90/1.29 }.
% 0.90/1.29 { ! alpha29( X, Y, Z ), ! hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero(
% 0.90/1.29 tc_Nat_Onat ) ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), hBOOL( hAPP( Z,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), alpha29( X, Y, Z ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, X ) }.
% 0.90/1.29 { Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ), ! Y = X }.
% 0.90/1.29 { Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! X = Y }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.90/1.29 { alpha102( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z ),
% 0.90/1.29 hBOOL( hAPP( hAPP( X, Y ), Z ) ) }.
% 0.90/1.29 { alpha102( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP(
% 0.90/1.29 hAPP( X, Y ), Z ) ) }.
% 0.90/1.29 { ! alpha102( X, Y, Z ), alpha103( X, Y, Z ), Z = Y }.
% 0.90/1.29 { ! alpha102( X, Y, Z ), alpha103( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ),
% 0.90/1.29 Z ) ) }.
% 0.90/1.29 { ! alpha103( X, Y, Z ), alpha102( X, Y, Z ) }.
% 0.90/1.29 { ! Z = Y, hBOOL( hAPP( hAPP( X, Y ), Z ) ), alpha102( X, Y, Z ) }.
% 0.90/1.29 { ! alpha103( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y )
% 0.90/1.29 }.
% 0.90/1.29 { ! alpha103( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ), hBOOL( hAPP( hAPP(
% 0.90/1.29 X, Y ), Z ) ), alpha103( X, Y, Z ) }.
% 0.90/1.29 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) }.
% 0.90/1.29 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, c_Groups_Oplus__class_Oplus
% 0.90/1.29 ( tc_Nat_Onat, Y, X ) ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.90/1.29 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.29 tc_Nat_Onat, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.90/1.29 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ), Y = X }.
% 0.90/1.29 { ! Y = X, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) }.
% 0.90/1.29 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ), Z = X }.
% 0.90/1.29 { ! Z = X, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Y ), Y = X }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ) }.
% 0.90/1.29 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Y ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, X ) }.
% 0.90/1.29 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 0.90/1.29 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 0.90/1.29 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.90/1.29 Z, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.90/1.29 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.90/1.29 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ), Y ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.90/1.29 { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.29 tc_Nat_Onat ), X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.29 ( tc_Nat_Onat ), X ), ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }
% 0.90/1.29 .
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! X =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.29 { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.29 tc_Nat_Onat ), X ) }.
% 0.90/1.29 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.29 tc_Nat_Onat ), X ) = X }.
% 0.90/1.29 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, c_Groups_Ozero__class_Ozero
% 0.90/1.29 ( tc_Nat_Onat ) ) = X }.
% 0.90/1.29 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.29 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.29 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), ! X =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.90/1.29 tc_Nat_Onat, Y, X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.29 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = Y, X =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.29 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.90/1.29 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.29 tc_Nat_Onat ), X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.29 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.29 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.29 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.29 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.29 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ), Y = X, Z =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.29 { ! Y = X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 0.90/1.29 { ! Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 0.90/1.29 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ), Z = X, Y =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.29 { ! Z = X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 0.90/1.29 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.90/1.29 ( tc_Nat_Onat, Y, X ), Y ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.90/1.29 ( tc_Nat_Onat, Y, X ), X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.90/1.29 ( tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) )
% 0.90/1.29 , c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.29 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }
% 0.90/1.29 .
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.29 tc_Nat_Onat, Y, Z ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }
% 0.90/1.29 .
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.29 tc_Nat_Onat, Y, T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }
% 0.90/1.29 .
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, T, X ) =
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.90/1.29 ( tc_Nat_Onat, Y, Z ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y
% 0.90/1.29 , X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = X,
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), Y = X }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.90/1.29 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = X,
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.90/1.29 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.90/1.29 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.29 tc_Nat_Onat ), X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.29 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) = X }.
% 0.90/1.29 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, X ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.29 { ! c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), !
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y = X }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), X =
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol4( X, Y ) ) }.
% 0.90/1.29 { ! X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, T ),
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ), X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.90/1.29 ( tc_Nat_Onat, Y, Z ), X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.90/1.29 ( tc_Nat_Onat, Z, X ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.90/1.29 ) }.
% 0.90/1.29 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) =
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.29 tc_Nat_Onat, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) )
% 0.90/1.29 }.
% 0.90/1.29 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.29 tc_Nat_Onat, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, X ) ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, X ) ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, Z ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, T ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ) ) }.
% 0.90/1.29 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.29 tc_Nat_Onat, Y, X ), X ) = Y }.
% 0.90/1.29 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.29 tc_Nat_Onat, Y, X ), Y ) = X }.
% 0.90/1.29 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.90/1.29 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.90/1.29 Z, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.90/1.29 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.29 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) =
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) }.
% 0.90/1.29 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.29 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) =
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ),
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ),
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ),
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.90/1.29 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.90/1.29 ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X = Z }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), ! X = Z,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) = Y }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, Z ),
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ),
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ), Y ) }.
% 0.90/1.29 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) =
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 0.90/1.29 ( tc_Nat_Onat, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X )
% 0.90/1.29 ) }.
% 0.90/1.29 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.90/1.29 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.29 ( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.29 tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.29 ( tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.90/1.29 tc_Nat_Onat, Y, X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.29 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.90/1.29 tc_Nat_Onat, Y, X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.29 ( tc_Nat_Onat ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.29 tc_Nat_Onat ), Y ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.29 ( tc_Nat_Onat ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.29 tc_Nat_Onat ), X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.29 ( tc_Nat_Onat ), Y ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.29 tc_Nat_Onat ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.29 tc_Nat_Onat ), Z ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.29 ( tc_Nat_Onat ), Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X
% 0.90/1.29 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.29 tc_Nat_Onat ), Y ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.29 ( tc_Nat_Onat ), Y ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X
% 0.90/1.29 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.29 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, Z ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.29 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.29 ( tc_Nat_Onat ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.29 tc_Nat_Onat ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.29 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.90/1.29 ( tc_Nat_Onat, Y, X ), Y ) }.
% 0.90/1.29 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.29 { ! c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.29 tc_Nat_Onat, Z, X ), Y ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.90/1.29 ( tc_Nat_Onat, Z, X ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z
% 0.90/1.29 , c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) = Y }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.90/1.29 ( tc_Nat_Onat, Y, Z ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z )
% 0.90/1.29 ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.90/1.29 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.90/1.29 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.90/1.29 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.90/1.29 ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.29 tc_Nat_Onat, Z, Y ), X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.29 tc_Nat_Onat, X, Z ), Y ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) = X }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.29 tc_Nat_Onat, Z, X ), Y ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.90/1.29 tc_Nat_Onat, X, Y ), Y ) = X }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) = Z, X =
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), ! X =
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) = Z }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.29 tc_Nat_Onat, Z, X ), Y ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.90/1.29 tc_Nat_Onat, X, Y ), Z ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ), Y ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.29 tc_Nat_Onat, X, Z ), Y ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), Z ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.29 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X
% 0.90/1.29 ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.29 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.29 tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X
% 0.90/1.29 ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.29 tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.90/1.29 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.90/1.29 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.90/1.29 , alpha30( X, Y, Z ) }.
% 0.90/1.29 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.90/1.29 , alpha62( X, Y, Z ) }.
% 0.90/1.29 { ! alpha30( X, Y, Z ), ! alpha62( X, Y, Z ), hBOOL( hAPP( Z,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) ) }.
% 0.90/1.29 { ! alpha62( X, Y, Z ), ! Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.90/1.29 T ), hBOOL( hAPP( Z, T ) ) }.
% 0.90/1.29 { ! hBOOL( hAPP( Z, skol5( T, U, Z ) ) ), alpha62( X, Y, Z ) }.
% 0.90/1.29 { Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, skol5( X, Y, Z ) ),
% 0.90/1.29 alpha62( X, Y, Z ) }.
% 0.90/1.29 { ! alpha30( X, Y, Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X
% 0.90/1.29 ), hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), alpha30( X, Y, Z ) }
% 0.90/1.29 .
% 0.90/1.29 { ! hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), alpha30
% 0.90/1.29 ( X, Y, Z ) }.
% 0.90/1.29 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.90/1.29 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, U, T
% 0.90/1.29 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.90/1.29 c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X,
% 0.90/1.29 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, U, Z
% 0.90/1.29 ), c_Groups_Ominus__class_Ominus( X, T, Y ) ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, U, Z
% 0.90/1.29 ), Y ) ), c_Groups_Otimes__class_Otimes( X, Z,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( X, T, Y ) ) ) }.
% 0.90/1.29 { c_Nat_Osize__class_Osize( tc_Complex_Ocomplex,
% 0.90/1.29 c_Complex_Ocomplex_OComplex( Y, X ) ) = c_Groups_Ozero__class_Ozero(
% 0.90/1.29 tc_Nat_Onat ) }.
% 0.90/1.29 { ! class_Orderings_Opreorder( X ), c_Orderings_Oord__class_Oless__eq( X, Y
% 0.90/1.29 , Y ) }.
% 0.90/1.29 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.90/1.29 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.90/1.29 hAPP( Y, U ) ) }.
% 0.90/1.29 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, hAPP
% 0.90/1.29 ( Z, skol6( X, Y, Z ) ), hAPP( Y, skol6( X, Y, Z ) ) ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ) }.
% 0.90/1.29 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.90/1.29 , Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.90/1.29 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.90/1.29 ( X, Z, Y ) }.
% 0.90/1.29 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.90/1.29 ( X, Y, Z ) }.
% 0.90/1.29 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.90/1.29 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Z = Y }.
% 0.90/1.29 { ! class_Orderings_Opreorder( X ), ! Z = Y,
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.90/1.29 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.90/1.29 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.90/1.29 hAPP( Y, U ) ) }.
% 0.90/1.29 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.90/1.29 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Y = Z }.
% 0.90/1.29 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.90/1.29 , Y ), ! Y = Z, c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.90/1.29 { ! class_Orderings_Oord( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.90/1.29 ( X, Y, T ), c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.90/1.29 { ! class_Orderings_Oorder( X ), ! Z = Y, !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.90/1.29 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y
% 0.90/1.29 ), ! Y = T, c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.90/1.29 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.90/1.29 , Y ), ! Z = T, c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.90/1.29 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.90/1.29 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Z = Y }.
% 0.90/1.29 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.29 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, T ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.90/1.29 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.90/1.29 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Y = Z }.
% 0.90/1.29 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.90/1.29 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.90/1.29 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.90/1.29 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.90/1.29 hAPP( Y, U ) ) }.
% 0.90/1.29 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.90/1.29 , Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.90/1.29 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.90/1.29 Y ) }.
% 0.90/1.29 { ! class_Orderings_Olinorder( X ), Z = Y, c_Orderings_Oord__class_Oless( X
% 0.90/1.29 , Z, Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.90/1.29 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.29 Y ), ! Z = Y }.
% 0.90/1.29 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.90/1.29 Z ), ! Z = Y }.
% 0.90/1.29 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.90/1.29 ), c_Orderings_Oord__class_Oless( X, Y, Z ), Z = Y }.
% 0.90/1.29 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.90/1.29 Z ), ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.90/1.29 { ! class_Orderings_Olinorder( X ), ! Z = Y, !
% 0.90/1.29 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.90/1.29 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.90/1.29 ), Z = Y, c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.90/1.29 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.90/1.29 ), c_Orderings_Oord__class_Oless( X, Y, Z ), Y = Z }.
% 0.90/1.29 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.90/1.29 ), ! Y = Z, ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.90/1.29 { ! class_Orderings_Olinorder( X ), Z = Y, c_Orderings_Oord__class_Oless( X
% 0.90/1.29 , Z, Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.90/1.29 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.90/1.29 , ! Z = Y }.
% 0.90/1.29 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.29 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.90/1.29 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.29 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.90/1.29 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.90/1.29 , ! Z = Y }.
% 0.90/1.29 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.90/1.29 , ! Y = Z }.
% 0.90/1.29 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.29 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.90/1.29 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.90/1.29 , ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.90/1.29 { ! class_Orderings_Oord( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless( X
% 0.90/1.29 , Y, T ), c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.90/1.29 { ! class_Orderings_Oorder( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless(
% 0.90/1.29 X, T, Y ), c_Orderings_Oord__class_Oless( X, T, Z ) }.
% 0.90/1.29 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y ),
% 0.90/1.29 ! Y = T, c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.90/1.29 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.90/1.29 , ! Z = T, c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.90/1.29 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.29 Y ), ! c_Orderings_Oord__class_Oless( X, Y, T ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.90/1.29 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.90/1.29 , ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.90/1.29 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.29 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.90/1.29 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.90/1.29 ), Z = Y, c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.90/1.29 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.90/1.29 ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.90/1.29 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.29 , Y, Z ), ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.90/1.29 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.90/1.29 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.90/1.29 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.90/1.29 Z ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.90/1.29 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.90/1.29 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.90/1.29 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.90/1.29 , c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.90/1.29 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.90/1.29 , ! Z = Y }.
% 0.90/1.29 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.90/1.29 , Y ), Z = Y, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.90/1.29 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.29 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.90/1.29 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.29 Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.90/1.29 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.29 , Z, Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.90/1.29 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.90/1.29 , Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.90/1.29 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.90/1.29 , c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.90/1.29 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.90/1.29 ( X, Z, Y ) }.
% 0.90/1.29 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.90/1.29 ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.90/1.29 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.90/1.29 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.90/1.29 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.90/1.29 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ), Z = Y }.
% 0.90/1.29 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.90/1.29 ), ! Z = Y, c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.90/1.29 { ! class_Orderings_Oorder( X ), Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.90/1.29 ( X, Z, Y ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.90/1.29 { ! class_Orderings_Oorder( X ), Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.90/1.29 ( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.90/1.29 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.29 , Z, Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.90/1.29 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.29 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.90/1.29 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.29 , Z, Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.90/1.29 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.29 , Z, Y ), ! Z = Y, ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.90/1.29 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.90/1.29 , Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.90/1.29 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.90/1.29 , Y ), Z = Y, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.90/1.29 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.90/1.29 , Y ), Y = Z, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.90/1.29 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.29 Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, T ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.90/1.29 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.90/1.29 , ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.90/1.29 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.29 , Z, Y ), ! c_Orderings_Oord__class_Oless( X, Y, T ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.90/1.29 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.90/1.29 , Y ), ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.90/1.29 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( X, c_Groups_Ozero__class_Ozero( X ), Y ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.29 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( X, c_Groups_Ozero__class_Ozero( X ), Y ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.29 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( X, Y, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.29 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( X, Y, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.29 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.90/1.29 ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.29 T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.90/1.29 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.90/1.29 ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.29 T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.90/1.29 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.90/1.29 , Y ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.90/1.29 , T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.90/1.29 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.90/1.29 , Y ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.90/1.29 , T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.90/1.29 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Ominus__class_Ominus( X, Z
% 0.90/1.29 , Y ) ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.90/1.29 ( X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.90/1.29 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Ominus__class_Ominus( X, Z
% 0.90/1.29 , Y ) ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.90/1.29 ( X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.90/1.29 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, T, Z
% 0.90/1.29 ), Y ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.90/1.29 ( X, T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.90/1.29 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.90/1.29 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, T, Z
% 0.90/1.29 ), Y ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.90/1.29 ( X, T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.90/1.29 { ! class_RealVector_Oreal__normed__field( X ),
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.90/1.29 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.29 { ! class_RealVector_Oreal__normed__field( X ),
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, T, Z
% 0.90/1.29 ), Y ) = c_Groups_Oplus__class_Oplus( X, c_Rings_Oinverse__class_Odivide
% 0.90/1.29 ( X, T, Y ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.90/1.29 { ! class_RealVector_Oreal__normed__field( X ),
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X, T,
% 0.90/1.29 Z ), Y ) = c_Groups_Ominus__class_Ominus( X,
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( X, T, Y ),
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.90/1.29 { c_Complex_Ocomplex_Ocomplex__case( T, Z, c_Complex_Ocomplex_OComplex( Y,
% 0.90/1.29 X ) ) = hAPP( hAPP( Z, Y ), X ) }.
% 0.90/1.29 { c_Complex_Ocomplex_Ocomplex__rec( T, Z, c_Complex_Ocomplex_OComplex( Y, X
% 0.90/1.29 ) ) = hAPP( hAPP( Z, Y ), X ) }.
% 0.90/1.29 { c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.90/1.29 c_Complex_Ocomplex_OComplex( Y, X ) ) = c_NthRoot_Osqrt(
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.29 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.29 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.29 c_Int_OPls ) ) ) ) ) ) }.
% 0.90/1.29 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.90/1.29 class_RealVector_Oreal__normed__field( X ),
% 0.90/1.29 c_RealVector_Onorm__class_Onorm( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.90/1.29 , Y ) ) = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.90/1.29 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.90/1.29 ( X, Y ) ) }.
% 0.90/1.29 { ! class_RealVector_Oreal__normed__div__algebra( X ),
% 0.90/1.29 c_RealVector_Onorm__class_Onorm( X, c_Power_Opower__class_Opower( X, Z, Y
% 0.90/1.29 ) ) = c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.90/1.29 c_RealVector_Onorm__class_Onorm( X, Z ), Y ) }.
% 0.90/1.29 { ! class_RealVector_Oreal__normed__vector( X ), c_Groups_Oabs__class_Oabs
% 0.90/1.29 ( tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( X, Y ) ) =
% 0.90/1.29 c_RealVector_Onorm__class_Onorm( X, Y ) }.
% 0.90/1.29 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( tc_fun( T,
% 0.90/1.29 X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ) }
% 0.90/1.29 .
% 0.90/1.29 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( tc_fun( T,
% 0.90/1.29 X ), Z, Y ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Y, Z )
% 0.90/1.29 }.
% 0.90/1.29 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.90/1.29 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Y, Z
% 0.90/1.29 ), c_Orderings_Oord__class_Oless( tc_fun( T, X ), Z, Y ) }.
% 0.90/1.29 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.90/1.29 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X, Z,
% 0.90/1.29 Y ) ) = c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus
% 0.90/1.29 ( X, Y, Z ) ) }.
% 0.90/1.29 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.90/1.29 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.90/1.29 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.90/1.29 c_RealVector_Onorm__class_Onorm( X, Y ) = c_Groups_Ozero__class_Ozero(
% 0.90/1.29 tc_RealDef_Oreal ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.29 { ! class_RealVector_Oreal__normed__vector( X ), ! Y =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), c_RealVector_Onorm__class_Onorm( X, Y )
% 0.90/1.29 = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.90/1.29 { ! class_RealVector_Oreal__normed__div__algebra( X ),
% 0.90/1.29 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.90/1.29 Y ) ) = c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.90/1.29 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.90/1.29 ( X, Y ) ) }.
% 0.90/1.29 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.90/1.29 c_RealVector_Onorm__class_Onorm( X, Y ) ) }.
% 0.90/1.29 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.29 c_RealVector_Onorm__class_Onorm( X, Y ), c_Groups_Ozero__class_Ozero(
% 0.90/1.29 tc_RealDef_Oreal ) ) }.
% 0.90/1.29 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.29 c_RealVector_Onorm__class_Onorm( X, Y ), c_Groups_Ozero__class_Ozero(
% 0.90/1.29 tc_RealDef_Oreal ) ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.29 { ! class_RealVector_Oreal__normed__vector( X ), ! Y =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless__eq(
% 0.90/1.29 tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( X, Y ),
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.90/1.29 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.90/1.29 c_RealVector_Onorm__class_Onorm( X, Y ) ), ! Y =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.29 { ! class_RealVector_Oreal__normed__vector( X ), Y =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless(
% 0.90/1.29 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.90/1.29 c_RealVector_Onorm__class_Onorm( X, Y ) ) }.
% 0.90/1.29 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.29 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.90/1.29 Y ) ), c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.90/1.29 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.90/1.29 ( X, Y ) ) ) }.
% 0.90/1.29 { ! class_RealVector_Oreal__normed__algebra( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.29 c_RealVector_Onorm__class_Onorm( X, Z ), Y ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.29 c_RealVector_Onorm__class_Onorm( X, U ), T ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.29 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.90/1.29 U ) ), c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, T ) ) }.
% 0.90/1.29 { ! class_RealVector_Oreal__normed__field( X ), Y =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ), c_RealVector_Onorm__class_Onorm( X,
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.90/1.29 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.90/1.29 ( X, Y ) ) }.
% 0.90/1.29 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.29 c_RealVector_Onorm__class_Onorm( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.90/1.29 ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.29 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.90/1.29 ( X, Y ) ) ) }.
% 0.90/1.29 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.29 c_RealVector_Onorm__class_Onorm( X, Z ), Y ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.29 c_RealVector_Onorm__class_Onorm( X, U ), T ),
% 0.90/1.29 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.29 c_RealVector_Onorm__class_Onorm( X, c_Groups_Oplus__class_Oplus( X, Z, U
% 0.90/1.29 ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, T ) ) }.
% 0.90/1.29 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.29 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X, Z,
% 0.90/1.29 Y ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.29 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.90/1.29 ( X, Y ) ) ) }.
% 0.90/1.29 { ! class_RealVector_Oreal__normed__algebra__1( X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.29 c_RealVector_Onorm__class_Onorm( X, c_Power_Opower__class_Opower( X, Z, Y
% 0.90/1.29 ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.90/1.29 c_RealVector_Onorm__class_Onorm( X, Z ), Y ) ) }.
% 0.90/1.29 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.90/1.29 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.90/1.29 ( X, Y ) ), c_RealVector_Onorm__class_Onorm( X,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( X, Z, Y ) ) ) }.
% 0.90/1.29 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.90/1.29 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.90/1.29 ( X, Y ) ), c_RealVector_Onorm__class_Onorm( X,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) ) }.
% 0.90/1.29 { ! class_Int_Onumber__ring( X ), !
% 0.90/1.29 class_RealVector_Oreal__normed__algebra__1( X ),
% 0.90/1.29 c_RealVector_Onorm__class_Onorm( X, c_Int_Onumber__class_Onumber__of( X,
% 0.90/1.29 Y ) ) = c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.90/1.29 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, Y ) ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.90/1.29 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, Y, X ) ),
% 0.90/1.29 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ) ),
% 0.90/1.29 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ) }.
% 0.90/1.29 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y,
% 0.90/1.29 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), !
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.29 c_RealVector_Onorm__class_Onorm( X, Z ), c_Groups_Otimes__class_Otimes(
% 0.90/1.29 tc_RealDef_Oreal, Y, c_RealVector_Onorm__class_Onorm( X, T ) ) ), Z =
% 0.90/1.29 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.29 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.29 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X,
% 0.90/1.29 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.90/1.29 , Y ) ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.29 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X, U,
% 0.90/1.29 Z ) ), c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus
% 0.90/1.29 ( X, T, Y ) ) ) ) }.
% 0.90/1.29 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.90/1.29 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.90/1.29 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.90/1.29 ( X, Y ) ) ), c_RealVector_Onorm__class_Onorm( X,
% 0.90/1.29 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) ) }.
% 0.90/1.29 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.29 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.90/1.29 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, c_NthRoot_Osqrt(
% 0.90/1.30 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.90/1.30 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.90/1.30 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.30 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.90/1.30 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.30 c_Int_OPls ) ) ) ) ) ) ) ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal )
% 0.90/1.30 ) }.
% 0.90/1.30 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.90/1.30 , Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.90/1.30 , c_Power_Opower__class_Opower( X, Y, c_Nat_OSuc(
% 0.90/1.30 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.90/1.30 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.30 c_Int_OPls ) ) ), Z ) ) ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc(
% 0.90/1.30 X ) ) }.
% 0.90/1.30 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( X ) ) }.
% 0.90/1.30 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.30 tc_Nat_Onat ), c_Nat_OSuc( X ) ) }.
% 0.90/1.30 { ! class_RealVector_Oreal__normed__algebra__1( X ),
% 0.90/1.30 c_RealVector_Onorm__class_Onorm( X, c_Groups_Oone__class_Oone( X ) ) =
% 0.90/1.30 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.90/1.30 { c_RealVector_Onorm__class_Onorm( tc_RealDef_Oreal, X ) =
% 0.90/1.30 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) }.
% 0.90/1.30 { ! class_Rings_Olinordered__semidom( X ),
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.30 c_Groups_Oone__class_Oone( X ) ) }.
% 0.90/1.30 { ! class_Rings_Olinordered__semidom( X ), !
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.90/1.30 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.30 { ! class_Rings_Olinordered__semidom( X ), !
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ), Y )
% 0.90/1.30 , c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.90/1.30 c_Power_Opower__class_Opower( X, Y, Z ) ) }.
% 0.90/1.30 { ! class_Rings_Olinordered__semidom( X ), !
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.30 ), ! c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Oone__class_Oone
% 0.90/1.30 ( X ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.30 c_Power_Opower__class_Opower( X, Y, c_Nat_OSuc( Z ) ), Y ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = c_Nat_OSuc( X
% 0.90/1.30 ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ),
% 0.90/1.30 c_Nat_OSuc( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X )
% 0.90/1.30 }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ),
% 0.90/1.30 c_Nat_OSuc( X ) ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = c_Nat_OSuc( X
% 0.90/1.30 ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.90/1.30 { ! Y = c_Nat_OSuc( X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 0.90/1.30 , c_Nat_OSuc( X ) ) }.
% 0.90/1.30 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( X ), Y ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( X ), Y ), !
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( X ), X ) }
% 0.90/1.30 .
% 0.90/1.30 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y = c_Nat_OSuc(
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.90/1.30 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X = c_Nat_OSuc(
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.90/1.30 { ! Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), ! X =
% 0.90/1.30 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 0.90/1.30 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), X = c_Nat_OSuc(
% 0.90/1.30 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol7( X, Y ) ) ) }.
% 0.90/1.30 { ! X = c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ) ),
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.90/1.30 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc(
% 0.90/1.30 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) ) }.
% 0.90/1.30 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc(
% 0.90/1.30 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ), X = Y }
% 0.90/1.30 .
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), ! X = Y,
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.90/1.30 { ! class_Rings_Ocomm__semiring__1( X ), c_Power_Opower__class_Opower( X, Y
% 0.90/1.30 , c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 0.90/1.30 c_Groups_Oone__class_Oone( X ) }.
% 0.90/1.30 { ! class_Power_Opower( X ), c_Power_Opower__class_Opower( X, Y,
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) = c_Groups_Oone__class_Oone
% 0.90/1.30 ( X ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.30 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ),
% 0.90/1.30 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), X ) ),
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 0.90/1.30 ( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ), c_Groups_Otimes__class_Otimes(
% 0.90/1.30 tc_Nat_Onat, c_Nat_OSuc( Z ), X ) ) }.
% 0.90/1.30 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.90/1.30 ( tc_Nat_Onat, Y, X ), c_Nat_OSuc( Y ) ) }.
% 0.90/1.30 { ! class_Fields_Ofield__inverse__zero( X ),
% 0.90/1.30 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X ),
% 0.90/1.30 c_Power_Opower__class_Opower( X, Z, Y ) ) = c_Power_Opower__class_Opower
% 0.90/1.30 ( X, c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X ),
% 0.90/1.30 Z ), Y ) }.
% 0.90/1.30 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) =
% 0.90/1.30 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 0.90/1.30 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.90/1.30 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) =
% 0.90/1.30 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.90/1.30 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.30 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ),
% 0.90/1.30 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), X ) ),
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.30 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ),
% 0.90/1.30 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), X ) ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.30 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( X ), Y ) =
% 0.90/1.30 c_Nat_OSuc( c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 0.90/1.30 { c_Power_Opower__class_Opower( tc_Nat_Onat, c_Nat_OSuc(
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ) = c_Nat_OSuc(
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.90/1.30 { ! c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X =
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y = c_Nat_OSuc(
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.90/1.30 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.90/1.30 c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.90/1.30 { ! Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 0.90/1.30 c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.30 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ),
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.30 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_NthRoot_Osqrt( X
% 0.90/1.30 ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.90/1.30 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.90/1.30 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_NthRoot_Osqrt( X )
% 0.90/1.30 , c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.30 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ),
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.30 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.30 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ),
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.30 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 0.90/1.30 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.90/1.30 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.90/1.30 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 0.90/1.30 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.30 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ),
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.30 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.30 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ),
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.30 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ) }.
% 0.90/1.30 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) =
% 0.90/1.30 c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.90/1.30 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) =
% 0.90/1.30 c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.90/1.30 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) =
% 0.90/1.30 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.90/1.30 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ) =
% 0.90/1.30 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), X ), Y = X }
% 0.90/1.30 .
% 0.90/1.30 { ! Y = X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), Y )
% 0.90/1.30 = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), X ) }.
% 0.90/1.30 { ! c_Nat_OSuc( X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.30 { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) = c_Nat_OSuc( X ) }.
% 0.90/1.30 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.90/1.30 ( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ), c_Nat_OSuc( X ) ) =
% 0.90/1.30 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.90/1.30 ( tc_Nat_Onat, Z, Y ), X ) }.
% 0.90/1.30 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc(
% 0.90/1.30 X ) ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) }.
% 0.90/1.30 { ! c_Nat_OSuc( X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.30 { ! c_Nat_OSuc( X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.30 { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) = c_Nat_OSuc( X ) }.
% 0.90/1.30 { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) = c_Nat_OSuc( X ) }.
% 0.90/1.30 { ! c_Nat_OSuc( Y ) = c_Nat_OSuc( X ), Y = X }.
% 0.90/1.30 { ! c_Nat_OSuc( Y ) = c_Nat_OSuc( X ), Y = X }.
% 0.90/1.30 { ! Y = X, c_Nat_OSuc( Y ) = c_Nat_OSuc( X ) }.
% 0.90/1.30 { ! c_Nat_OSuc( X ) = X }.
% 0.90/1.30 { ! X = c_Nat_OSuc( X ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc
% 0.90/1.30 ( X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), Y = X }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ),
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), Z ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), c_Nat_OSuc( Y ) = X
% 0.90/1.30 , c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.90/1.30 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ), X = Y }
% 0.90/1.30 .
% 0.90/1.30 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ), Y = X }
% 0.90/1.30 .
% 0.90/1.30 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X,
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc
% 0.90/1.30 ( X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc(
% 0.90/1.30 X ) ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), Y = X }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.90/1.30 { ! Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) )
% 0.90/1.30 }.
% 0.90/1.30 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ), !
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.90/1.30 { ! class_Groups_Oone( X ), ! c_Groups_Oone__class_Oone( X ) = Y, Y =
% 0.90/1.30 c_Groups_Oone__class_Oone( X ) }.
% 0.90/1.30 { ! class_Groups_Oone( X ), ! Y = c_Groups_Oone__class_Oone( X ),
% 0.90/1.30 c_Groups_Oone__class_Oone( X ) = Y }.
% 0.90/1.30 { c_NthRoot_Osqrt( c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) =
% 0.90/1.30 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.90/1.30 { ! c_NthRoot_Osqrt( X ) = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X
% 0.90/1.30 = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.90/1.30 { ! X = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X )
% 0.90/1.30 = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.90/1.30 { ! class_Rings_Olinordered__idom( X ), c_Groups_Oabs__class_Oabs( X,
% 0.90/1.30 c_Groups_Oone__class_Oone( X ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.90/1.30 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X, Y
% 0.90/1.30 , c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.90/1.30 { ! class_Groups_Omonoid__mult( X ), c_Power_Opower__class_Opower( X,
% 0.90/1.30 c_Groups_Oone__class_Oone( X ), Y ) = c_Groups_Oone__class_Oone( X ) }.
% 0.90/1.30 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.90/1.30 ( X, c_Groups_Oone__class_Oone( X ), Y ), c_Orderings_Oord__class_Oless(
% 0.90/1.30 X, c_Groups_Oone__class_Oone( X ), c_Power_Opower__class_Opower( X, Y,
% 0.90/1.30 c_Nat_OSuc( Z ) ) ) }.
% 0.90/1.30 { ! class_Power_Opower( X ), ! Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat
% 0.90/1.30 ), c_Power_Opower__class_Opower( X, Y, Z ) = c_Groups_Oone__class_Oone(
% 0.90/1.30 X ) }.
% 0.90/1.30 { ! class_Power_Opower( X ), Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.90/1.30 , c_Power_Opower__class_Opower( X, Y, Z ) = c_Groups_Otimes__class_Otimes
% 0.90/1.30 ( X, Y, c_Power_Opower__class_Opower( X, Y, c_Groups_Ominus__class_Ominus
% 0.90/1.30 ( tc_Nat_Onat, Z, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) ) }.
% 0.90/1.30 { ! class_Rings_Ozero__neq__one( X ), ! c_Groups_Ozero__class_Ozero( X ) =
% 0.90/1.30 c_Groups_Oone__class_Oone( X ) }.
% 0.90/1.30 { ! class_Rings_Ozero__neq__one( X ), ! c_Groups_Oone__class_Oone( X ) =
% 0.90/1.30 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.30 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.30 c_Groups_Oone__class_Oone( X ), Y ) = Y }.
% 0.90/1.30 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.30 Y, c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.90/1.30 { ! class_Groups_Ocomm__monoid__mult( X ), c_Groups_Otimes__class_Otimes( X
% 0.90/1.30 , Y, c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.90/1.30 { ! class_Groups_Omonoid__mult( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.90/1.30 c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.90/1.30 { ! class_Groups_Ocomm__monoid__mult( X ), c_Groups_Otimes__class_Otimes( X
% 0.90/1.30 , c_Groups_Oone__class_Oone( X ), Y ) = Y }.
% 0.90/1.30 { ! class_Groups_Omonoid__mult( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.30 c_Groups_Oone__class_Oone( X ), Y ) = Y }.
% 0.90/1.30 { ! c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) =
% 0.90/1.30 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.90/1.30 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.90/1.30 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) = X }.
% 0.90/1.30 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.90/1.30 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.90/1.30 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Oone__class_Oone( X ) ),
% 0.90/1.30 c_Orderings_Oord__class_Oless( X, c_Power_Opower__class_Opower( X, Y,
% 0.90/1.30 c_Nat_OSuc( Z ) ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.90/1.30 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), alpha31( X, Y ), alpha63( X
% 0.90/1.30 , Y ) }.
% 0.90/1.30 { ! alpha31( X, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.90/1.30 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.90/1.30 { ! alpha63( X, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.90/1.30 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.90/1.30 { ! alpha63( X, Y ), Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.30 { ! alpha63( X, Y ), X = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.90/1.30 tc_Nat_Onat ) ) }.
% 0.90/1.30 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), ! X = c_Nat_OSuc(
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), alpha63( X, Y ) }.
% 0.90/1.30 { ! alpha31( X, Y ), Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.90/1.30 tc_Nat_Onat ) ) }.
% 0.90/1.30 { ! alpha31( X, Y ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.30 { ! Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), ! X =
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha31( X, Y ) }.
% 0.90/1.30 { ! c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 0.90/1.30 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ), alpha32( X, Y ),
% 0.90/1.30 alpha64( X, Y ) }.
% 0.90/1.30 { ! alpha32( X, Y ), c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.90/1.30 ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) }.
% 0.90/1.30 { ! alpha64( X, Y ), c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.90/1.30 ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) }.
% 0.90/1.30 { ! alpha64( X, Y ), Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.30 { ! alpha64( X, Y ), X = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.90/1.30 tc_Nat_Onat ) ) }.
% 0.90/1.30 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), ! X = c_Nat_OSuc(
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), alpha64( X, Y ) }.
% 0.90/1.30 { ! alpha32( X, Y ), Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.90/1.30 tc_Nat_Onat ) ) }.
% 0.90/1.30 { ! alpha32( X, Y ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.30 { ! Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), ! X =
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha32( X, Y ) }.
% 0.90/1.30 { ! class_Rings_Odivision__ring__inverse__zero( X ), ! Y =
% 0.90/1.30 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.90/1.30 Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.30 { ! class_Rings_Odivision__ring__inverse__zero( X ), Y =
% 0.90/1.30 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.90/1.30 Y ) = c_Groups_Oone__class_Oone( X ) }.
% 0.90/1.30 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.30 , c_Rings_Oinverse__class_Odivide( X, Y, Y ) = c_Groups_Oone__class_Oone
% 0.90/1.30 ( X ) }.
% 0.90/1.30 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.30 , ! c_Rings_Oinverse__class_Odivide( X, Z, Y ) =
% 0.90/1.30 c_Groups_Oone__class_Oone( X ), Z = Y }.
% 0.90/1.30 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.30 , ! Z = Y, c_Rings_Oinverse__class_Odivide( X, Z, Y ) =
% 0.90/1.30 c_Groups_Oone__class_Oone( X ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.30 ( tc_Nat_Onat ), X ), X = c_Nat_OSuc( skol8( X ) ) }.
% 0.90/1.30 { ! X = c_Nat_OSuc( Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc(
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), X =
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.30 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc(
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ), Y =
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha33( X, Y ) }.
% 0.90/1.30 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.90/1.30 { ! alpha33( X, Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.90/1.30 c_Nat_OSuc( X ) ) }.
% 0.90/1.30 { ! alpha33( X, Y ), Y = c_Nat_OSuc( skol9( Z, Y ) ) }.
% 0.90/1.30 { ! alpha33( X, Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, skol9( X,
% 0.90/1.30 Y ), X ) }.
% 0.90/1.30 { ! Y = c_Nat_OSuc( Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X
% 0.90/1.30 ), alpha33( X, Y ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( c_Nat_OSuc(
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) ), X =
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X = c_Nat_OSuc(
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.90/1.30 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.90/1.30 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Power_Opower__class_Opower
% 0.90/1.30 ( X, Y, T ) = c_Power_Opower__class_Opower( X, Y, Z ), T = Z }.
% 0.90/1.30 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.90/1.30 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! T = Z,
% 0.90/1.30 c_Power_Opower__class_Opower( X, Y, T ) = c_Power_Opower__class_Opower( X
% 0.90/1.30 , Y, Z ) }.
% 0.90/1.30 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.90/1.30 , Y ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X
% 0.90/1.30 , c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ), Y ) }
% 0.90/1.30 .
% 0.90/1.30 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Z
% 0.90/1.30 , c_Groups_Otimes__class_Otimes( X, Y, Z ) ) =
% 0.90/1.30 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, Y,
% 0.90/1.30 c_Groups_Oone__class_Oone( X ) ), Z ) }.
% 0.90/1.30 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.30 c_Groups_Otimes__class_Otimes( X, Z, Y ), Y ) =
% 0.90/1.30 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.90/1.30 c_Groups_Oone__class_Oone( X ) ), Y ) }.
% 0.90/1.30 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.90/1.30 , Y, c_Groups_Oplus__class_Oplus( X, Y, c_Groups_Oone__class_Oone( X ) )
% 0.90/1.30 ) }.
% 0.90/1.30 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.30 c_Power_Opower__class_Opower( X, Z, Y ), Z ) =
% 0.90/1.30 c_Power_Opower__class_Opower( X, Z, c_Nat_OSuc( Y ) ) }.
% 0.90/1.30 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.30 Z, c_Power_Opower__class_Opower( X, Z, Y ) ) =
% 0.90/1.30 c_Power_Opower__class_Opower( X, Z, c_Nat_OSuc( Y ) ) }.
% 0.90/1.30 { ! class_Groups_Omonoid__mult( X ), c_Power_Opower__class_Opower( X, Z,
% 0.90/1.30 c_Nat_OSuc( Y ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.90/1.30 c_Power_Opower__class_Opower( X, Z, Y ), Z ) }.
% 0.90/1.30 { ! class_Rings_Ocomm__semiring__1( X ), c_Power_Opower__class_Opower( X, Z
% 0.90/1.30 , c_Nat_OSuc( Y ) ) = c_Groups_Otimes__class_Otimes( X, Z,
% 0.90/1.30 c_Power_Opower__class_Opower( X, Z, Y ) ) }.
% 0.90/1.30 { ! class_Power_Opower( X ), c_Power_Opower__class_Opower( X, Z, c_Nat_OSuc
% 0.90/1.30 ( Y ) ) = c_Groups_Otimes__class_Otimes( X, Z,
% 0.90/1.30 c_Power_Opower__class_Opower( X, Z, Y ) ) }.
% 0.90/1.30 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.90/1.30 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.90/1.30 ( X, c_Groups_Oone__class_Oone( X ), Z ), c_Orderings_Oord__class_Oless(
% 0.90/1.30 X, c_Groups_Oone__class_Oone( X ), c_Groups_Otimes__class_Otimes( X, Y, Z
% 0.90/1.30 ) ) }.
% 0.90/1.30 { ! class_Power_Opower( X ), ! class_Rings_Osemiring__0( X ),
% 0.90/1.30 c_Power_Opower__class_Opower( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.30 c_Nat_OSuc( Y ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.30 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.90/1.30 ( X, c_Groups_Oone__class_Oone( X ), c_Groups_Ozero__class_Ozero( X ) ) }
% 0.90/1.30 .
% 0.90/1.30 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.90/1.30 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.90/1.30 { ! class_Groups_Omonoid__mult( X ), ! c_Orderings_Oord__class_Oless__eq(
% 0.90/1.30 tc_Nat_Onat, Z, Y ), c_Power_Opower__class_Opower( X, T,
% 0.90/1.30 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( Y ), Z ) ) =
% 0.90/1.30 c_Groups_Otimes__class_Otimes( X, c_Power_Opower__class_Opower( X, T,
% 0.90/1.30 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, Z ) ), T ) }.
% 0.90/1.30 { ! class_Rings_Olinordered__semidom( X ), !
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X, Z
% 0.90/1.30 , c_Nat_OSuc( T ) ), c_Power_Opower__class_Opower( X, Y, c_Nat_OSuc( T )
% 0.90/1.30 ) ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.90/1.30 ( X ), Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.90/1.30 { ! class_Rings_Olinordered__semidom( X ), ! c_Power_Opower__class_Opower(
% 0.90/1.30 X, Z, c_Nat_OSuc( T ) ) = c_Power_Opower__class_Opower( X, Y, c_Nat_OSuc
% 0.90/1.30 ( T ) ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.30 c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.30 ), Z = Y }.
% 0.90/1.30 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.90/1.30 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.90/1.30 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Oone__class_Oone
% 0.90/1.30 ( X ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.30 c_Groups_Otimes__class_Otimes( X, Y, Z ), Y ) }.
% 0.90/1.30 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.90/1.30 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.90/1.30 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Oone__class_Oone
% 0.90/1.30 ( X ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.30 c_Groups_Otimes__class_Otimes( X, Z, Y ), Y ) }.
% 0.90/1.30 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.90/1.30 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.30 c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ) ) }.
% 0.90/1.30 { ! class_Rings_Oring__1( X ), c_Groups_Ominus__class_Ominus( X,
% 0.90/1.30 c_Groups_Otimes__class_Otimes( X, Y, Y ), c_Groups_Oone__class_Oone( X )
% 0.90/1.30 ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.90/1.30 , c_Groups_Oone__class_Oone( X ) ), c_Groups_Ominus__class_Ominus( X, Y,
% 0.90/1.30 c_Groups_Oone__class_Oone( X ) ) ) }.
% 0.90/1.30 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.90/1.30 ( X, c_Groups_Oone__class_Oone( X ), Y ), c_Orderings_Oord__class_Oless(
% 0.90/1.30 X, c_Groups_Oone__class_Oone( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.90/1.30 c_Power_Opower__class_Opower( X, Y, Z ) ) ) }.
% 0.90/1.30 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.90/1.30 ( X, c_Groups_Oone__class_Oone( X ), Y ), c_Orderings_Oord__class_Oless(
% 0.90/1.30 X, c_Power_Opower__class_Opower( X, Y, Z ), c_Groups_Otimes__class_Otimes
% 0.90/1.30 ( X, Y, c_Power_Opower__class_Opower( X, Y, Z ) ) ) }.
% 0.90/1.30 { ! class_Power_Opower( X ), ! class_Rings_Osemiring__0( X ), ! Y =
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.90/1.30 ( X, c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Oone__class_Oone( X
% 0.90/1.30 ) }.
% 0.90/1.30 { ! class_Power_Opower( X ), ! class_Rings_Osemiring__0( X ), Y =
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.90/1.30 ( X, c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero
% 0.90/1.30 ( X ) }.
% 0.90/1.30 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.30 X, Z, Y ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.30 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.90/1.30 ), c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.90/1.30 c_Groups_Oone__class_Oone( X ) ) ), Y ) }.
% 0.90/1.30 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.30 X, Z, Y ), c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.30 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.90/1.30 ), c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.90/1.30 c_Groups_Oone__class_Oone( X ) ) ) ) }.
% 0.90/1.30 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.90/1.30 c_Int_OBit1( Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.90/1.30 c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.90/1.30 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.90/1.30 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.90/1.30 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.90/1.30 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.90/1.30 ( X, c_Power_Opower__class_Opower( X, Y, T ),
% 0.90/1.30 c_Power_Opower__class_Opower( X, Y, Z ) ), c_Orderings_Oord__class_Oless
% 0.90/1.30 ( tc_Nat_Onat, T, Z ) }.
% 0.90/1.30 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.90/1.30 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.90/1.30 ( tc_Nat_Onat, T, Z ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.30 c_Power_Opower__class_Opower( X, Y, T ), c_Power_Opower__class_Opower( X
% 0.90/1.30 , Y, Z ) ) }.
% 0.90/1.30 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.90/1.30 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.90/1.30 ( X, c_Power_Opower__class_Opower( X, Y, T ),
% 0.90/1.30 c_Power_Opower__class_Opower( X, Y, Z ) ), c_Orderings_Oord__class_Oless
% 0.90/1.30 ( tc_Nat_Onat, T, Z ) }.
% 0.90/1.30 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.90/1.30 ( tc_Nat_Onat, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.30 c_Groups_Oone__class_Oone( X ), T ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.30 c_Power_Opower__class_Opower( X, T, Z ), c_Power_Opower__class_Opower( X
% 0.90/1.30 , T, Y ) ) }.
% 0.90/1.30 { ! class_Rings_Olinordered__semidom( X ), !
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ), !
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ), T )
% 0.90/1.30 , c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X,
% 0.90/1.30 T, Z ), c_Power_Opower__class_Opower( X, T, Y ) ) }.
% 0.90/1.30 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.90/1.30 c_Int_OBit1( c_Int_OPls ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.90/1.30 { ! class_Int_Onumber__ring( X ), c_Groups_Oone__class_Oone( X ) =
% 0.90/1.30 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ), !
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y ),
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 0.90/1.30 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ), !
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y ),
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.90/1.30 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ), !
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y ),
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.90/1.30 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.30 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.30 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ), X ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.30 ( tc_Nat_Onat ), X ), c_Nat_OSuc( c_Groups_Ominus__class_Ominus(
% 0.90/1.30 tc_Nat_Onat, X, c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) )
% 0.90/1.30 ) ) = X }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 0.90/1.30 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ),
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 0.90/1.30 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ),
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y ), !
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ),
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 0.90/1.30 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.30 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc(
% 0.90/1.30 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ), Z ) =
% 0.90/1.30 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( X ),
% 0.90/1.30 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ) ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.30 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, c_Nat_OSuc(
% 0.90/1.30 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) ) =
% 0.90/1.30 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.30 tc_Nat_Onat, Z, Y ), c_Nat_OSuc( X ) ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ),
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 0.90/1.30 c_Power_Opower__class_Opower( tc_Nat_Onat, X, Y ) ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.30 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs
% 0.90/1.30 ( tc_RealDef_Oreal, X ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) )
% 0.90/1.30 , X ) }.
% 0.90/1.30 { ! class_Rings_Olinordered__semiring__1( X ), !
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( X, T, Y ), !
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.90/1.30 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.90/1.30 X ), W ), ! c_Groups_Oplus__class_Oplus( X, U, W ) =
% 0.90/1.30 c_Groups_Oone__class_Oone( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.30 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Z )
% 0.90/1.30 , c_Groups_Otimes__class_Otimes( X, W, T ) ), Y ) }.
% 0.90/1.30 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.90/1.30 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.90/1.30 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Oone__class_Oone( X ) ),
% 0.90/1.30 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.90/1.30 c_Power_Opower__class_Opower( X, Y, Z ) ), c_Power_Opower__class_Opower(
% 0.90/1.30 X, Y, Z ) ) }.
% 0.90/1.30 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.90/1.30 ( tc_Nat_Onat, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.30 c_Groups_Ozero__class_Ozero( X ), T ), ! c_Orderings_Oord__class_Oless( X
% 0.90/1.30 , T, c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.30 c_Power_Opower__class_Opower( X, T, Y ), c_Power_Opower__class_Opower( X
% 0.90/1.30 , T, Z ) ) }.
% 0.90/1.30 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.30 c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.90/1.30 c_Groups_Oone__class_Oone( X ) ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.90/1.30 ) ) = c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( Y ) ) }.
% 0.90/1.30 { ! class_Rings_Olinordered__semidom( X ), !
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ), !
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.90/1.30 ), ! c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oone__class_Oone
% 0.90/1.30 ( X ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.30 c_Power_Opower__class_Opower( X, T, Y ), c_Power_Opower__class_Opower( X
% 0.90/1.30 , T, Z ) ) }.
% 0.90/1.30 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.90/1.30 ( X, c_Groups_Oone__class_Oone( X ), Y ), !
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X, Y
% 0.90/1.30 , T ), c_Power_Opower__class_Opower( X, Y, Z ) ),
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ) }.
% 0.90/1.30 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.90/1.30 ( X, c_Groups_Oone__class_Oone( X ), Y ), !
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ),
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X, Y
% 0.90/1.30 , T ), c_Power_Opower__class_Opower( X, Y, Z ) ) }.
% 0.90/1.30 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.90/1.30 ( X, c_Groups_Oone__class_Oone( X ), Y ), !
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X, Y
% 0.90/1.30 , T ), c_Power_Opower__class_Opower( X, Y, Z ) ),
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ) }.
% 0.90/1.30 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OBit1(
% 0.90/1.30 c_Int_OPls ) ) ) = c_Nat_OSuc( c_Nat_OSuc( c_Nat_OSuc(
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) ) }.
% 0.90/1.30 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 0.90/1.30 ) = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.90/1.30 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.90/1.30 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.90/1.30 ( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Z ),
% 0.90/1.30 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 0.90/1.30 c_Power_Opower__class_Opower( X, Y, Z ) ) }.
% 0.90/1.30 { ! class_Power_Opower( X ), ! class_Rings_Osemiring__0( X ), !
% 0.90/1.30 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) =
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.90/1.30 ( X, c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of(
% 0.90/1.30 tc_Nat_Onat, Y ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.90/1.30 { ! class_Power_Opower( X ), ! class_Rings_Osemiring__0( X ),
% 0.90/1.30 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) =
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.90/1.30 ( X, c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of(
% 0.90/1.30 tc_Nat_Onat, Y ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.30 { c_Nat_OSuc( c_Nat_OSuc( c_Nat_OSuc( X ) ) ) = c_Groups_Oplus__class_Oplus
% 0.90/1.30 ( tc_Nat_Onat, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1
% 0.90/1.30 ( c_Int_OBit1( c_Int_OPls ) ) ), X ) }.
% 0.90/1.30 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.90/1.30 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oone__class_Oone
% 0.90/1.30 ( tc_RealDef_Oreal ), c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) )
% 0.90/1.30 ) }.
% 0.90/1.30 { ! class_Rings_Olinordered__semiring__1__strict( X ), !
% 0.90/1.30 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.90/1.30 ( X, T, Y ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.30 c_Groups_Ozero__class_Ozero( X ), U ), !
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), W
% 0.90/1.30 ), ! c_Groups_Oplus__class_Oplus( X, U, W ) = c_Groups_Oone__class_Oone
% 0.90/1.30 ( X ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 0.90/1.30 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.90/1.30 X, W, T ) ), Y ) }.
% 0.90/1.30 { ! class_Rings_Ocomm__ring__1( X ), c_Groups_Ominus__class_Ominus( X,
% 0.90/1.30 c_Power_Opower__class_Opower( X, Z, c_Nat_OSuc( c_Nat_OSuc(
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) ),
% 0.90/1.30 c_Power_Opower__class_Opower( X, Y, c_Nat_OSuc( c_Nat_OSuc(
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) ) ) =
% 0.90/1.30 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, Z, Y
% 0.90/1.30 ), c_Groups_Oplus__class_Oplus( X, Z, Y ) ) }.
% 0.90/1.30 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.30 c_Int_OPls ) ) ) = c_Nat_OSuc( c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.90/1.30 tc_Nat_Onat ) ) ) }.
% 0.90/1.30 { c_Nat_OSuc( c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) =
% 0.90/1.30 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.30 c_Int_OPls ) ) ) }.
% 0.90/1.30 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.90/1.30 , Y ), c_Groups_Oone__class_Oone( X ) ),
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OBit1(
% 0.90/1.30 c_Int_OPls ) ) }.
% 0.90/1.30 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OBit1(
% 0.90/1.30 c_Int_OPls ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.30 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Oone__class_Oone( X )
% 0.90/1.30 ) }.
% 0.90/1.30 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.90/1.30 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 0.90/1.30 , Y ) }.
% 0.90/1.30 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 0.90/1.30 , Y ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X
% 0.90/1.30 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.90/1.30 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.30 c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ) =
% 0.90/1.30 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.90/1.30 ) ) ) }.
% 0.90/1.30 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.90/1.30 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.30 c_Int_OPls ) ) ), X ) = c_Nat_OSuc( c_Nat_OSuc( X ) ) }.
% 0.90/1.30 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.90/1.30 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.30 c_Int_OPls ) ) ) ) = c_Nat_OSuc( c_Nat_OSuc( X ) ) }.
% 0.90/1.30 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.90/1.30 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.90/1.30 ), c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless(
% 0.90/1.30 tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls ) ) }.
% 0.90/1.30 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls )
% 0.90/1.30 ), c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X
% 0.90/1.30 , Y ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.90/1.30 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.90/1.30 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 0.90/1.30 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.90/1.30 ( tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y ) }.
% 0.90/1.30 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y
% 0.90/1.30 ), c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 0.90/1.30 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.30 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OPls ), X ),
% 0.90/1.30 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) =
% 0.90/1.30 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y,
% 0.90/1.30 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 0.90/1.30 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 0.90/1.30 ) ) ) }.
% 0.90/1.30 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.30 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Oone__class_Oone( X )
% 0.90/1.30 ) = c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.90/1.30 tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls ) ) ) }.
% 0.90/1.30 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.30 c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X, Y )
% 0.90/1.30 ) = c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.90/1.30 tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y ) ) }.
% 0.90/1.30 { ! class_Rings_Osemiring__1( X ), c_Power_Opower__class_Opower( X,
% 0.90/1.30 c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of(
% 0.90/1.30 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) =
% 0.90/1.30 c_Groups_Oone__class_Oone( X ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.30 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ),
% 0.90/1.30 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.30 c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.90/1.30 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.30 c_Int_OPls ) ) ) ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.90/1.30 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.30 c_Int_OPls ) ) ) ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X =
% 0.90/1.30 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.90/1.30 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.30 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ),
% 0.90/1.30 c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.90/1.30 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.90/1.30 c_Int_OBit1( c_Int_OPls ) ) ), X ) ) }.
% 0.90/1.30 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.30 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_NthRoot_Osqrt(
% 0.90/1.30 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.90/1.30 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.90/1.30 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.30 class_Int_Onumber__ring( X ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.30 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.90/1.30 c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.90/1.30 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.90/1.30 { ! class_Groups_Omonoid__mult( X ), c_Power_Opower__class_Opower( X, Z,
% 0.90/1.30 c_Nat_OSuc( c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.90/1.30 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.30 c_Int_OPls ) ) ), Y ) ) ) = c_Groups_Otimes__class_Otimes( X, Z,
% 0.90/1.30 c_Power_Opower__class_Opower( X, c_Power_Opower__class_Opower( X, Z, Y )
% 0.90/1.30 , c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1
% 0.90/1.30 ( c_Int_OPls ) ) ) ) ) }.
% 0.90/1.30 { ! class_Rings_Ocomm__semiring__1( X ), c_Power_Opower__class_Opower( X, Z
% 0.90/1.30 , c_Nat_OSuc( c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.90/1.30 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.30 c_Int_OPls ) ) ), Y ) ) ) = c_Groups_Otimes__class_Otimes( X, Z,
% 0.90/1.30 c_Groups_Otimes__class_Otimes( X, c_Power_Opower__class_Opower( X, Z, Y )
% 0.90/1.30 , c_Power_Opower__class_Opower( X, Z, Y ) ) ) }.
% 0.90/1.30 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.90/1.30 ( X, c_Groups_Ozero__class_Ozero( X ), c_Power_Opower__class_Opower( X, Y
% 0.90/1.30 , c_Nat_OSuc( c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.90/1.30 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.30 c_Int_OPls ) ) ), Z ) ) ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.30 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.90/1.30 { c_Transcendental_Oarctan( X ) = c_Groups_Otimes__class_Otimes(
% 0.90/1.30 tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 0.90/1.30 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ), c_Transcendental_Oarctan(
% 0.90/1.30 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X,
% 0.90/1.30 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oone__class_Oone
% 0.90/1.30 ( tc_RealDef_Oreal ), c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus(
% 0.90/1.30 tc_RealDef_Oreal, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ),
% 0.90/1.30 c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.90/1.30 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.90/1.30 c_Int_OPls ) ) ) ) ) ) ) ) ) ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.30 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ),
% 0.90/1.30 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), !
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.90/1.30 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ),
% 0.90/1.30 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.90/1.30 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Transcendental_Oarctan(
% 0.90/1.30 X ), c_Transcendental_Oarctan( Y ) ) = c_Transcendental_Oarctan(
% 0.90/1.30 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.90/1.30 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X, Y ),
% 0.90/1.30 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.90/1.30 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ),
% 0.90/1.30 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) ) ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.90/1.30 c_Transcendental_Oarctan( Y ), c_Transcendental_Oarctan( X ) ) }.
% 0.90/1.30 { ! Y = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ), X =
% 0.90/1.30 c_Groups_Oone__class_Oone( tc_Nat_Onat ), Y = c_Groups_Ozero__class_Ozero
% 0.90/1.30 ( tc_Nat_Onat ) }.
% 0.90/1.30 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oone__class_Oone(
% 0.90/1.30 tc_Int_Oint ) ) }.
% 0.90/1.30 { c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.90/1.30 tc_Int_Oint ), c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 0.90/1.30 { c_Int_OBit1( X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.90/1.30 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oone__class_Oone(
% 0.90/1.30 tc_Int_Oint ), X ), X ) }.
% 0.90/1.30 { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.90/1.30 tc_Int_Oint, c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ) =
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.90/1.30 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.90/1.30 tc_Int_Oint ) ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), Y
% 0.90/1.30 = X }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.90/1.30 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.90/1.30 tc_Int_Oint ) ) ) }.
% 0.90/1.30 { ! Y = X, c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.90/1.30 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.90/1.30 tc_Int_Oint ) ) ) }.
% 0.90/1.30 { ! c_Groups_Oabs__class_Oabs( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 0.90/1.30 tc_Int_Oint, X, Y ) ) = c_Groups_Oone__class_Oone( tc_Int_Oint ),
% 0.90/1.30 c_Groups_Oabs__class_Oabs( tc_Int_Oint, X ) = c_Groups_Oone__class_Oone(
% 0.90/1.30 tc_Int_Oint ) }.
% 0.90/1.30 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Oone__class_Oone(
% 0.90/1.30 tc_Nat_Onat ), X ) = X }.
% 0.90/1.30 { ! c_Groups_Oone__class_Oone( tc_Nat_Onat ) =
% 0.90/1.30 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ), Y =
% 0.90/1.30 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.90/1.30 { ! c_Groups_Oone__class_Oone( tc_Nat_Onat ) =
% 0.90/1.30 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ), X =
% 0.90/1.30 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.90/1.30 { ! Y = c_Groups_Oone__class_Oone( tc_Nat_Onat ), ! X =
% 0.90/1.30 c_Groups_Oone__class_Oone( tc_Nat_Onat ), c_Groups_Oone__class_Oone(
% 0.90/1.30 tc_Nat_Onat ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) }.
% 0.90/1.30 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, c_Groups_Oone__class_Oone
% 0.90/1.30 ( tc_Nat_Onat ) ) = X }.
% 0.90/1.30 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.90/1.30 c_Groups_Oone__class_Oone( tc_Nat_Onat ), Y = c_Groups_Oone__class_Oone(
% 0.90/1.30 tc_Nat_Onat ) }.
% 0.90/1.30 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.90/1.30 c_Groups_Oone__class_Oone( tc_Nat_Onat ), X = c_Groups_Oone__class_Oone(
% 0.90/1.30 tc_Nat_Onat ) }.
% 0.90/1.30 { ! Y = c_Groups_Oone__class_Oone( tc_Nat_Onat ), ! X =
% 0.90/1.30 c_Groups_Oone__class_Oone( tc_Nat_Onat ), c_Groups_Otimes__class_Otimes(
% 0.90/1.30 tc_Nat_Onat, Y, X ) = c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.90/1.30 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( X ),
% 0.90/1.30 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) = X }.
% 0.90/1.30 { c_Groups_Oone__class_Oone( tc_Nat_Onat ) = c_Nat_OSuc(
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_Transcendental_Oarctan
% 0.90/1.30 ( Y ), c_Transcendental_Oarctan( X ) ) }.
% 0.90/1.30 { ! class_Groups_Omonoid__mult( X ), c_Power_Opower__class_Opower( X, Y,
% 0.90/1.30 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) = Y }.
% 0.90/1.30 { ! class_Rings_Ocomm__semiring__1( X ), c_Power_Opower__class_Opower( X, Y
% 0.90/1.30 , c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) = Y }.
% 0.90/1.30 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) =
% 0.90/1.30 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.90/1.30 ( tc_Nat_Onat, Y, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ), X ) }.
% 0.90/1.30 { ! c_Groups_Ozero__class_Ozero( tc_Int_Oint ) = c_Groups_Oone__class_Oone
% 0.90/1.30 ( tc_Int_Oint ) }.
% 0.90/1.30 { c_Transcendental_Oarctan( c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal )
% 0.90/1.30 ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.90/1.30 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, c_Groups_Oone__class_Oone
% 0.90/1.30 ( tc_Int_Oint ) ) = X }.
% 0.90/1.30 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Oone__class_Oone(
% 0.90/1.30 tc_Int_Oint ), X ) = X }.
% 0.90/1.30 { c_Nat_OSuc( X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.90/1.30 c_Groups_Oone__class_Oone( tc_Nat_Onat ), X ) }.
% 0.90/1.30 { c_Nat_OSuc( X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.90/1.30 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) }.
% 0.90/1.30 { c_Groups_Oone__class_Oone( tc_Nat_Onat ) =
% 0.90/1.30 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 0.90/1.30 ) }.
% 0.90/1.30 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 0.90/1.30 ) = c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.90/1.30 { c_Groups_Oone__class_Oone( tc_Int_Oint ) =
% 0.90/1.30 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 0.90/1.30 ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.90/1.30 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ),
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.90/1.30 tc_Int_Oint ), X ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.90/1.30 ( tc_Int_Oint ), X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.90/1.30 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus
% 0.90/1.30 ( tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.90/1.30 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ),
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.90/1.30 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.90/1.30 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.90/1.30 tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.90/1.30 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ),
% 0.90/1.30 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.90/1.30 { ! class_Orderings_Opreorder( X ), class_Orderings_Opreorder( tc_fun( Y, X
% 0.90/1.30 ) ) }.
% 0.90/1.30 { ! class_Orderings_Oorder( X ), class_Orderings_Oorder( tc_fun( Y, X ) ) }
% 0.90/1.30 .
% 0.90/1.30 { ! class_Orderings_Oord( X ), class_Orderings_Oord( tc_fun( Y, X ) ) }.
% 0.90/1.30 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.90/1.30 tc_Int_Oint ) }.
% 0.90/1.30 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_Int_Oint ) }.
% 0.90/1.30 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Int_Oint ) }.
% 0.90/1.30 { class_Rings_Olinordered__comm__semiring__strict( tc_Int_Oint ) }.
% 0.90/1.30 { class_Rings_Olinordered__semiring__1__strict( tc_Int_Oint ) }.
% 0.90/1.30 { class_Rings_Olinordered__semiring__strict( tc_Int_Oint ) }.
% 0.90/1.30 { class_Groups_Oordered__ab__semigroup__add( tc_Int_Oint ) }.
% 0.90/1.30 { class_Groups_Oordered__ab__group__add__abs( tc_Int_Oint ) }.
% 0.90/1.30 { class_Groups_Oordered__comm__monoid__add( tc_Int_Oint ) }.
% 0.90/1.30 { class_Groups_Olinordered__ab__group__add( tc_Int_Oint ) }.
% 0.90/1.30 { class_Groups_Ocancel__ab__semigroup__add( tc_Int_Oint ) }.
% 0.90/1.30 { class_Rings_Oring__1__no__zero__divisors( tc_Int_Oint ) }.
% 0.90/1.30 { class_Rings_Oordered__cancel__semiring( tc_Int_Oint ) }.
% 0.90/1.30 { class_Rings_Olinordered__ring__strict( tc_Int_Oint ) }.
% 0.90/1.30 { class_Rings_Oring__no__zero__divisors( tc_Int_Oint ) }.
% 0.90/1.30 { class_Rings_Oordered__comm__semiring( tc_Int_Oint ) }.
% 0.90/1.30 { class_Rings_Olinordered__semiring__1( tc_Int_Oint ) }.
% 0.90/1.30 { class_Groups_Oordered__ab__group__add( tc_Int_Oint ) }.
% 0.90/1.30 { class_Groups_Ocancel__semigroup__add( tc_Int_Oint ) }.
% 0.90/1.30 { class_Rings_Olinordered__semiring( tc_Int_Oint ) }.
% 0.90/1.30 { class_Rings_Olinordered__semidom( tc_Int_Oint ) }.
% 0.90/1.30 { class_Groups_Oab__semigroup__mult( tc_Int_Oint ) }.
% 0.90/1.30 { class_Groups_Ocomm__monoid__mult( tc_Int_Oint ) }.
% 0.90/1.30 { class_Groups_Oab__semigroup__add( tc_Int_Oint ) }.
% 0.90/1.30 { class_Rings_Oordered__semiring( tc_Int_Oint ) }.
% 0.90/1.30 { class_Rings_Oordered__ring__abs( tc_Int_Oint ) }.
% 0.90/1.30 { class_Rings_Ono__zero__divisors( tc_Int_Oint ) }.
% 0.90/1.30 { class_Groups_Ocomm__monoid__add( tc_Int_Oint ) }.
% 0.90/1.30 { class_Rings_Olinordered__ring( tc_Int_Oint ) }.
% 0.90/1.30 { class_Rings_Olinordered__idom( tc_Int_Oint ) }.
% 0.90/1.30 { class_Rings_Ocomm__semiring__1( tc_Int_Oint ) }.
% 0.90/1.30 { class_Rings_Ocomm__semiring( tc_Int_Oint ) }.
% 0.90/1.30 { class_Groups_Oab__group__add( tc_Int_Oint ) }.
% 0.90/1.30 { class_Rings_Ozero__neq__one( tc_Int_Oint ) }.
% 0.90/1.30 { class_Rings_Oordered__ring( tc_Int_Oint ) }.
% 0.90/1.30 { class_Orderings_Opreorder( tc_Int_Oint ) }.
% 0.90/1.30 { class_Orderings_Olinorder( tc_Int_Oint ) }.
% 0.90/1.30 { class_Groups_Omonoid__mult( tc_Int_Oint ) }.
% 0.90/1.30 { class_Rings_Ocomm__ring__1( tc_Int_Oint ) }.
% 0.90/1.30 { class_Groups_Omonoid__add( tc_Int_Oint ) }.
% 0.90/1.30 { class_Rings_Osemiring__1( tc_Int_Oint ) }.
% 0.90/1.30 { class_Rings_Osemiring__0( tc_Int_Oint ) }.
% 0.90/1.30 { class_Groups_Ogroup__add( tc_Int_Oint ) }.
% 0.90/1.30 { class_Rings_Omult__zero( tc_Int_Oint ) }.
% 0.90/1.30 { class_Orderings_Oorder( tc_Int_Oint ) }.
% 0.90/1.30 { class_Int_Oring__char__0( tc_Int_Oint ) }.
% 0.90/1.30 { class_Int_Onumber__ring( tc_Int_Oint ) }.
% 0.90/1.30 { class_Rings_Osemiring( tc_Int_Oint ) }.
% 0.90/1.30 { class_Orderings_Oord( tc_Int_Oint ) }.
% 0.90/1.30 { class_Rings_Oring__1( tc_Int_Oint ) }.
% 0.90/1.30 { class_Power_Opower( tc_Int_Oint ) }.
% 0.90/1.30 { class_Groups_Ozero( tc_Int_Oint ) }.
% 0.90/1.30 { class_Rings_Oring( tc_Int_Oint ) }.
% 0.90/1.30 { class_Int_Onumber( tc_Int_Oint ) }.
% 0.90/1.30 { class_Groups_Oone( tc_Int_Oint ) }.
% 0.90/1.30 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.90/1.30 tc_Nat_Onat ) }.
% 0.90/1.30 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.90/1.30 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Nat_Onat ) }.
% 0.90/1.30 { class_Rings_Olinordered__comm__semiring__strict( tc_Nat_Onat ) }.
% 0.90/1.30 { class_Rings_Olinordered__semiring__strict( tc_Nat_Onat ) }.
% 0.90/1.30 { class_Groups_Oordered__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.90/1.30 { class_Groups_Oordered__comm__monoid__add( tc_Nat_Onat ) }.
% 0.90/1.30 { class_Groups_Ocancel__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.90/1.30 { class_Rings_Oordered__cancel__semiring( tc_Nat_Onat ) }.
% 0.90/1.30 { class_Rings_Oordered__comm__semiring( tc_Nat_Onat ) }.
% 0.90/1.30 { class_Groups_Ocancel__semigroup__add( tc_Nat_Onat ) }.
% 0.90/1.30 { class_Rings_Olinordered__semiring( tc_Nat_Onat ) }.
% 0.90/1.30 { class_Rings_Olinordered__semidom( tc_Nat_Onat ) }.
% 0.90/1.30 { class_Groups_Oab__semigroup__mult( tc_Nat_Onat ) }.
% 0.90/1.30 { class_Groups_Ocomm__monoid__mult( tc_Nat_Onat ) }.
% 0.90/1.30 { class_Groups_Oab__semigroup__add( tc_Nat_Onat ) }.
% 0.90/1.30 { class_Rings_Oordered__semiring( tc_Nat_Onat ) }.
% 0.90/1.30 { class_Rings_Ono__zero__divisors( tc_Nat_Onat ) }.
% 0.90/1.30 { class_Groups_Ocomm__monoid__add( tc_Nat_Onat ) }.
% 0.90/1.30 { class_Rings_Ocomm__semiring__1( tc_Nat_Onat ) }.
% 0.90/1.30 { class_Rings_Ocomm__semiring( tc_Nat_Onat ) }.
% 0.90/1.30 { class_Rings_Ozero__neq__one( tc_Nat_Onat ) }.
% 0.90/1.30 { class_Orderings_Opreorder( tc_Nat_Onat ) }.
% 0.90/1.30 { class_Orderings_Olinorder( tc_Nat_Onat ) }.
% 0.90/1.30 { class_Groups_Omonoid__mult( tc_Nat_Onat ) }.
% 0.90/1.30 { class_Groups_Omonoid__add( tc_Nat_Onat ) }.
% 0.90/1.30 { class_Rings_Osemiring__1( tc_Nat_Onat ) }.
% 0.90/1.30 { class_Rings_Osemiring__0( tc_Nat_Onat ) }.
% 0.90/1.30 { class_Rings_Omult__zero( tc_Nat_Onat ) }.
% 0.90/1.30 { class_Orderings_Oorder( tc_Nat_Onat ) }.
% 0.90/1.30 { class_Rings_Osemiring( tc_Nat_Onat ) }.
% 0.90/1.30 { class_Orderings_Oord( tc_Nat_Onat ) }.
% 0.90/1.30 { class_Power_Opower( tc_Nat_Onat ) }.
% 0.90/1.30 { class_Groups_Ozero( tc_Nat_Onat ) }.
% 0.90/1.30 { class_Int_Onumber( tc_Nat_Onat ) }.
% 0.90/1.30 { class_Groups_Oone( tc_Nat_Onat ) }.
% 0.90/1.30 { class_Orderings_Opreorder( tc_HOL_Obool ) }.
% 0.90/1.30 { class_Orderings_Oorder( tc_HOL_Obool ) }.
% 0.90/1.30 { class_Orderings_Oord( tc_HOL_Obool ) }.
% 0.90/1.30 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.90/1.30 tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_RealDef_Oreal ) }
% 0.90/1.30 .
% 0.90/1.30 { class_Rings_Olinordered__comm__semiring__strict( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Fields_Olinordered__field__inverse__zero( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Rings_Olinordered__semiring__1__strict( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_RealVector_Oreal__normed__div__algebra( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Rings_Olinordered__semiring__strict( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Rings_Odivision__ring__inverse__zero( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_RealVector_Oreal__normed__algebra__1( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Groups_Oordered__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Groups_Oordered__ab__group__add__abs( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_RealVector_Oreal__normed__algebra( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Groups_Oordered__comm__monoid__add( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Groups_Olinordered__ab__group__add( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Groups_Ocancel__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Rings_Oring__1__no__zero__divisors( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Rings_Oordered__cancel__semiring( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_RealVector_Oreal__normed__vector( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Rings_Olinordered__ring__strict( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_RealVector_Oreal__normed__field( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Rings_Oring__no__zero__divisors( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Rings_Oordered__comm__semiring( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Rings_Olinordered__semiring__1( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Groups_Oordered__ab__group__add( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Groups_Ocancel__semigroup__add( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Rings_Olinordered__semiring( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Fields_Ofield__inverse__zero( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Rings_Olinordered__semidom( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Groups_Oab__semigroup__mult( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Groups_Ocomm__monoid__mult( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Groups_Oab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Fields_Olinordered__field( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Rings_Oordered__semiring( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Rings_Oordered__ring__abs( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Rings_Ono__zero__divisors( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Groups_Ocomm__monoid__add( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Rings_Olinordered__ring( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Rings_Olinordered__idom( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Rings_Ocomm__semiring__1( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_RealVector_Oreal__field( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Rings_Odivision__ring( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Rings_Ocomm__semiring( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Groups_Oab__group__add( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Rings_Ozero__neq__one( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Rings_Oordered__ring( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Orderings_Opreorder( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Orderings_Olinorder( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Groups_Omonoid__mult( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Rings_Ocomm__ring__1( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Groups_Omonoid__add( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Rings_Osemiring__1( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Rings_Osemiring__0( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Groups_Ogroup__add( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Rings_Omult__zero( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Orderings_Oorder( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Int_Oring__char__0( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Int_Onumber__ring( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Rings_Osemiring( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Orderings_Oord( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Rings_Oring__1( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Fields_Ofield( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Power_Opower( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Groups_Ozero( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Rings_Oring( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Int_Onumber( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Groups_Oone( tc_RealDef_Oreal ) }.
% 0.90/1.30 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.90/1.30 tc_Complex_Ocomplex ) }.
% 0.90/1.30 { class_RealVector_Oreal__normed__div__algebra( tc_Complex_Ocomplex ) }.
% 0.90/1.30 { class_Rings_Odivision__ring__inverse__zero( tc_Complex_Ocomplex ) }.
% 0.90/1.30 { class_RealVector_Oreal__normed__algebra__1( tc_Complex_Ocomplex ) }.
% 0.90/1.30 { class_RealVector_Oreal__normed__algebra( tc_Complex_Ocomplex ) }.
% 0.90/1.30 { class_Groups_Ocancel__ab__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.90/1.30 { class_Rings_Oring__1__no__zero__divisors( tc_Complex_Ocomplex ) }.
% 0.90/1.30 { class_RealVector_Oreal__normed__vector( tc_Complex_Ocomplex ) }.
% 0.90/1.30 { class_RealVector_Oreal__normed__field( tc_Complex_Ocomplex ) }.
% 0.90/1.30 { class_Rings_Oring__no__zero__divisors( tc_Complex_Ocomplex ) }.
% 0.90/1.30 { class_Groups_Ocancel__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.90/1.30 { class_Fields_Ofield__inverse__zero( tc_Complex_Ocomplex ) }.
% 0.90/1.30 { class_Groups_Oab__semigroup__mult( tc_Complex_Ocomplex ) }.
% 0.90/1.30 { class_Groups_Ocomm__monoid__mult( tc_Complex_Ocomplex ) }.
% 0.90/1.30 { class_Groups_Oab__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.90/1.30 { class_Rings_Ono__zero__divisors( tc_Complex_Ocomplex ) }.
% 0.90/1.30 { class_Groups_Ocomm__monoid__add( tc_Complex_Ocomplex ) }.
% 0.90/1.30 { class_Rings_Ocomm__semiring__1( tc_Complex_Ocomplex ) }.
% 0.90/1.30 { class_RealVector_Oreal__field( tc_Complex_Ocomplex ) }.
% 0.90/1.30 { class_Rings_Odivision__ring( tc_Complex_Ocomplex ) }.
% 0.90/1.30 { class_Rings_Ocomm__semiring( tc_Complex_Ocomplex ) }.
% 0.90/1.30 { class_Groups_Oab__group__add( tc_Complex_Ocomplex ) }.
% 0.90/1.30 { class_Rings_Ozero__neq__one( tc_Complex_Ocomplex ) }.
% 0.90/1.30 { class_Groups_Omonoid__mult( tc_Complex_Ocomplex ) }.
% 0.90/1.30 { class_Rings_Ocomm__ring__1( tc_Complex_Ocomplex ) }.
% 0.90/1.30 { class_Groups_Omonoid__add( tc_Complex_Ocomplex ) }.
% 0.90/1.30 { class_Rings_Osemiring__1( tc_Complex_Ocomplex ) }.
% 0.90/1.30 { class_Rings_Osemiring__0( tc_Complex_Ocomplex ) }.
% 0.90/1.30 { class_Groups_Ogroup__add( tc_Complex_Ocomplex ) }.
% 0.90/1.30 { class_Rings_Omult__zero( tc_Complex_Ocomplex ) }.
% 0.90/1.30 { class_Int_Oring__char__0( tc_Complex_Ocomplex ) }.
% 0.90/1.30 { class_Int_Onumber__ring( tc_Complex_Ocomplex ) }.
% 0.90/1.30 { class_Rings_Osemiring( tc_Complex_Ocomplex ) }.
% 0.90/1.30 { class_Rings_Oring__1( tc_Complex_Ocomplex ) }.
% 0.90/1.30 { class_Fields_Ofield( tc_Complex_Ocomplex ) }.
% 0.90/1.30 { class_Power_Opower( tc_Complex_Ocomplex ) }.
% 0.90/1.30 { class_Groups_Ozero( tc_Complex_Ocomplex ) }.
% 0.90/1.30 { class_Rings_Oring( tc_Complex_Ocomplex ) }.
% 0.90/1.30 { class_Int_Onumber( tc_Complex_Ocomplex ) }.
% 0.90/1.30 { class_Groups_Oone( tc_Complex_Ocomplex ) }.
% 0.90/1.30 { ! c_NthRoot_Osqrt( c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 0.90/1.30 c_Int_OBit0( c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) =
% 0.90/1.30 c_NthRoot_Osqrt( c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.90/1.30 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.90/1.30 c_Int_OBit1( c_Int_OPls ) ) ), c_Int_Onumber__class_Onumber__of(
% 0.90/1.30 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.90/1.30
% 0.90/1.30 *** allocated 15000 integers for clauses
% 0.90/1.30 *** allocated 22500 integers for clauses
% 0.90/1.30 *** allocated 33750 integers for clauses
% 0.90/1.30 *** allocated 50625 integers for clauses
% 0.90/1.30 *** allocated 75937 integers for clauses
% 0.90/1.30 *** allocated 113905 integers for clauses
% 0.90/1.30 percentage equality = 0.226611, percentage horn = 0.897721
% 0.90/1.30 This is a problem with some equality
% 0.90/1.30
% 0.90/1.30
% 0.90/1.30
% 0.90/1.30 Options Used:
% 0.90/1.30
% 0.90/1.30 useres = 1
% 0.90/1.30 useparamod = 1
% 0.90/1.30 useeqrefl = 1
% 0.90/1.30 useeqfact = 1
% 0.90/1.30 usefactor = 1
% 0.90/1.30 usesimpsplitting = 0
% 0.90/1.30 usesimpdemod = 5
% 0.90/1.30 usesimpres = 3
% 0.90/1.30
% 0.90/1.30 resimpinuse = 1000
% 0.90/1.30 resimpclauses = 20000
% 0.90/1.30 substype = eqrewr
% 0.90/1.30 backwardsubs = 1
% 0.90/1.30 selectoldest = 5
% 0.90/1.30
% 0.90/1.30 litorderings [0] = split
% 0.90/1.30 litorderings [1] = extend the termordering, first sorting on arguments
% 0.90/1.30
% 0.90/1.30 termordering = kbo
% 0.90/1.30
% 0.90/1.30 litapriori = 0
% 0.90/1.30 termapriori = 1
% 0.90/1.30 litaposteriori = 0
% 0.90/1.30 termaposteriori = 0
% 0.90/1.30 demodaposteriori = 0
% 0.90/1.30 ordereqreflfact = 0
% 0.90/1.30
% 0.90/1.30 litselect = negord
% 0.90/1.30
% 0.90/1.30 maxweight = 15
% 0.90/1.30 maxdepth = 30000
% 0.90/1.30 maxlength = 115
% 0.90/1.30 maxnrvars = 195
% 0.90/1.30 excuselevel = 1
% 0.90/1.30 increasemaxweight = 1
% 0.90/1.30
% 0.90/1.30 maxselected = 10000000
% 0.90/1.30 maxnrclauses = 10000000
% 0.90/1.30
% 0.90/1.30 showgenerated = 0
% 0.90/1.30 showkept = 0
% 0.90/1.30 showselected = 0
% 0.90/1.30 showdeleted = 0
% 0.90/1.30 showresimp = 1
% 0.90/1.30 showstatus = 2000
% 0.90/1.30
% 0.90/1.30 prologoutput = 0
% 0.90/1.30 nrgoals = 5000000
% 0.90/1.30 totalproof = 1
% 0.90/1.30
% 0.90/1.30 Symbols occurring in the translation:
% 0.90/1.30
% 0.90/1.30 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.90/1.30 . [1, 2] (w:1, o:186, a:1, s:1, b:0),
% 0.90/1.30 ! [4, 1] (w:0, o:103, a:1, s:1, b:0),
% 0.90/1.30 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.90/1.30 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.90/1.30 tc_RealDef_Oreal [36, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.90/1.30 tc_Nat_Onat [37, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.90/1.30 c_Int_OPls [38, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.90/1.30 c_Int_OBit1 [39, 1] (w:1, o:109, a:1, s:1, b:0),
% 0.90/1.30 c_Int_OBit0 [40, 1] (w:1, o:108, a:1, s:1, b:0),
% 0.90/1.30 c_Int_Onumber__class_Onumber__of [41, 2] (w:1, o:210, a:1, s:1, b:0)
% 0.90/1.30 ,
% 0.90/1.30 c_Power_Opower__class_Opower [42, 3] (w:1, o:232, a:1, s:1, b:0),
% 0.90/1.30 c_Rings_Oinverse__class_Odivide [43, 3] (w:1, o:233, a:1, s:1, b:0),
% 0.90/1.30
% 0.90/1.30 c_NthRoot_Osqrt [45, 1] (w:1, o:110, a:1, s:1, b:0),
% 0.90/1.30 c_Groups_Otimes__class_Otimes [49, 3] (w:1, o:234, a:1, s:1, b:0),
% 0.90/1.30 class_Groups_Omonoid__mult [52, 1] (w:1, o:116, a:1, s:1, b:0),
% 0.90/1.30 class_Int_Onumber [53, 1] (w:1, o:117, a:1, s:1, b:0),
% 0.90/1.30 c_Groups_Oabs__class_Oabs [54, 2] (w:1, o:211, a:1, s:1, b:0),
% 0.90/1.30 class_Int_Onumber__ring [57, 1] (w:1, o:118, a:1, s:1, b:0),
% 0.90/1.30 tc_Int_Oint [58, 0] (w:1, o:34, a:1, s:1, b:0),
% 0.90/1.30 class_Fields_Ofield [63, 1] (w:1, o:111, a:1, s:1, b:0),
% 0.90/1.30 class_Int_Oring__char__0 [66, 1] (w:1, o:119, a:1, s:1, b:0),
% 0.90/1.30 class_Rings_Olinordered__idom [68, 1] (w:1, o:120, a:1, s:1, b:0),
% 0.90/1.30 class_Rings_Ocomm__semiring__1 [71, 1] (w:1, o:122, a:1, s:1, b:0),
% 0.90/1.30 c_Groups_Oplus__class_Oplus [74, 3] (w:1, o:235, a:1, s:1, b:0),
% 0.90/1.30 class_Fields_Olinordered__field__inverse__zero [76, 1] (w:1, o:112
% 0.90/1.30 , a:1, s:1, b:0),
% 0.90/1.30 class_Fields_Ofield__inverse__zero [77, 1] (w:1, o:113, a:1, s:1, b:0
% 0.90/1.30 ),
% 0.90/1.30 class_Rings_Odivision__ring [79, 1] (w:1, o:124, a:1, s:1, b:0),
% 0.90/1.30 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct [84
% 0.90/1.30 , 1] (w:1, o:155, a:1, s:1, b:0),
% 0.90/1.30 class_Rings_Osemiring [86, 1] (w:1, o:129, a:1, s:1, b:0),
% 0.90/1.30 class_Rings_Ocomm__semiring [88, 1] (w:1, o:123, a:1, s:1, b:0),
% 0.90/1.30 class_Groups_Ocomm__monoid__mult [99, 1] (w:1, o:156, a:1, s:1, b:0)
% 0.90/1.30 ,
% 0.90/1.30 c_Orderings_Oord__class_Oless [101, 3] (w:1, o:230, a:1, s:1, b:0),
% 0.90/1.30 c_Orderings_Oord__class_Oless__eq [102, 3] (w:1, o:231, a:1, s:1, b:0
% 0.90/1.30 ),
% 0.90/1.30 c_Groups_Ozero__class_Ozero [103, 1] (w:1, o:158, a:1, s:1, b:0),
% 0.90/1.30 c_Groups_Ominus__class_Ominus [104, 3] (w:1, o:236, a:1, s:1, b:0),
% 0.90/1.30 v_y____ [105, 0] (w:1, o:68, a:1, s:1, b:0),
% 0.90/1.30 class_Rings_Olinordered__ring__strict [106, 1] (w:1, o:130, a:1, s:1
% 0.90/1.30 , b:0),
% 0.90/1.30 class_Fields_Olinordered__field [107, 1] (w:1, o:114, a:1, s:1, b:0)
% 0.90/1.30 ,
% 0.90/1.30 class_Rings_Olinordered__semidom [108, 1] (w:1, o:132, a:1, s:1, b:0)
% 0.90/1.30 ,
% 0.90/1.30 class_Rings_Olinordered__semiring__strict [109, 1] (w:1, o:133, a:1
% 0.90/1.30 , s:1, b:0),
% 0.90/1.30 class_Rings_Olinordered__semiring [110, 1] (w:1, o:134, a:1, s:1, b:0
% 0.90/1.30 ),
% 0.90/1.30 class_Orderings_Olinorder [112, 1] (w:1, o:159, a:1, s:1, b:0),
% 0.90/1.30 class_Rings_Olinordered__comm__semiring__strict [113, 1] (w:1, o:135
% 0.90/1.30 , a:1, s:1, b:0),
% 0.90/1.30 class_Rings_Olinordered__ring [114, 1] (w:1, o:131, a:1, s:1, b:0),
% 0.90/1.30 class_Rings_Oordered__cancel__semiring [115, 1] (w:1, o:137, a:1, s:1
% 0.90/1.30 , b:0),
% 0.90/1.30 class_Rings_Oordered__ring [116, 1] (w:1, o:138, a:1, s:1, b:0),
% 0.90/1.30 class_Rings_Oordered__semiring [117, 1] (w:1, o:140, a:1, s:1, b:0),
% 0.90/1.30
% 0.90/1.30 class_Rings_Oordered__comm__semiring [118, 1] (w:1, o:141, a:1, s:1
% 0.90/1.30 , b:0),
% 0.90/1.30 class_Power_Opower [120, 1] (w:1, o:163, a:1, s:1, b:0),
% 0.90/1.30 class_Rings_Omult__zero [121, 1] (w:1, o:144, a:1, s:1, b:0),
% 0.90/1.30 class_Rings_Ono__zero__divisors [122, 1] (w:1, o:136, a:1, s:1, b:0)
% 0.90/1.30 ,
% 0.90/1.30 class_Rings_Ozero__neq__one [123, 1] (w:1, o:145, a:1, s:1, b:0),
% 0.90/1.30 class_Rings_Oordered__ring__abs [126, 1] (w:1, o:139, a:1, s:1, b:0)
% 0.90/1.30 ,
% 0.90/1.30 class_Groups_Oab__group__add [127, 1] (w:1, o:164, a:1, s:1, b:0),
% 0.90/1.30 class_Rings_Oring__no__zero__divisors [128, 1] (w:1, o:125, a:1, s:1
% 0.90/1.30 , b:0),
% 0.90/1.30 class_Groups_Olinordered__ab__group__add [129, 1] (w:1, o:115, a:1
% 0.90/1.30 , s:1, b:0),
% 0.90/1.30 class_Rings_Oring__1__no__zero__divisors [130, 1] (w:1, o:126, a:1
% 0.90/1.30 , s:1, b:0),
% 0.90/1.30 class_Rings_Odivision__ring__inverse__zero [131, 1] (w:1, o:146, a:1
% 0.90/1.30 , s:1, b:0),
% 0.90/1.30 class_Rings_Oring [132, 1] (w:1, o:127, a:1, s:1, b:0),
% 0.90/1.30 hAPP [134, 2] (w:1, o:212, a:1, s:1, b:0),
% 0.90/1.30 class_RealVector_Oreal__field [136, 1] (w:1, o:147, a:1, s:1, b:0),
% 0.90/1.30 class_Rings_Osemiring__1 [137, 1] (w:1, o:149, a:1, s:1, b:0),
% 0.90/1.30 class_Groups_Oordered__ab__group__add__abs [138, 1] (w:1, o:165, a:1
% 0.90/1.30 , s:1, b:0),
% 0.90/1.30 class_Groups_Ozero [148, 1] (w:1, o:166, a:1, s:1, b:0),
% 0.90/1.30 class_Groups_Oab__semigroup__mult [149, 1] (w:1, o:167, a:1, s:1, b:0
% 0.90/1.30 ),
% 0.90/1.30 class_Groups_Ocancel__semigroup__add [150, 1] (w:1, o:168, a:1, s:1
% 0.90/1.30 , b:0),
% 0.90/1.30 class_Groups_Ocancel__ab__semigroup__add [151, 1] (w:1, o:169, a:1
% 0.90/1.30 , s:1, b:0),
% 0.90/1.30 class_Groups_Oab__semigroup__add [152, 1] (w:1, o:170, a:1, s:1, b:0)
% 0.90/1.30 ,
% 0.90/1.30 class_Groups_Ocomm__monoid__add [153, 1] (w:1, o:171, a:1, s:1, b:0)
% 0.90/1.30 ,
% 0.90/1.30 class_Groups_Omonoid__add [154, 1] (w:1, o:172, a:1, s:1, b:0),
% 0.90/1.30 class_Groups_Oordered__ab__semigroup__add__imp__le [155, 1] (w:1, o:
% 0.90/1.30 173, a:1, s:1, b:0),
% 0.90/1.30 class_Groups_Oordered__ab__semigroup__add [156, 1] (w:1, o:174, a:1
% 0.90/1.30 , s:1, b:0),
% 0.90/1.30 class_Groups_Oordered__cancel__ab__semigroup__add [157, 1] (w:1, o:
% 0.90/1.30 175, a:1, s:1, b:0),
% 0.90/1.30 class_Groups_Ogroup__add [158, 1] (w:1, o:176, a:1, s:1, b:0),
% 0.90/1.30 class_Groups_Oordered__ab__group__add [159, 1] (w:1, o:177, a:1, s:1
% 0.90/1.30 , b:0),
% 0.90/1.30 class_Groups_Oordered__comm__monoid__add [160, 1] (w:1, o:178, a:1
% 0.90/1.30 , s:1, b:0),
% 0.90/1.30 tc_Complex_Ocomplex [161, 0] (w:1, o:80, a:1, s:1, b:0),
% 0.90/1.30 v_z [162, 0] (w:1, o:81, a:1, s:1, b:0),
% 0.90/1.30 c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt [163, 1] (w:1, o:
% 0.90/1.30 157, a:1, s:1, b:0),
% 0.90/1.30 v_x____ [164, 0] (w:1, o:67, a:1, s:1, b:0),
% 0.90/1.30 c_Complex_Ocomplex_OComplex [165, 2] (w:1, o:213, a:1, s:1, b:0),
% 0.90/1.30 c_Complex_Ocomplex_Ocomplex__size [181, 1] (w:1, o:179, a:1, s:1, b:0
% 0.90/1.30 ),
% 0.90/1.30 hBOOL [183, 1] (w:1, o:180, a:1, s:1, b:0),
% 0.90/1.30 class_RealVector_Oreal__normed__algebra [188, 1] (w:1, o:150, a:1, s:
% 0.90/1.30 1, b:0),
% 0.90/1.30 c_Nat_Osize__class_Osize [189, 2] (w:1, o:214, a:1, s:1, b:0),
% 0.90/1.30 class_Orderings_Opreorder [190, 1] (w:1, o:162, a:1, s:1, b:0),
% 0.90/1.30 class_Orderings_Oord [192, 1] (w:1, o:160, a:1, s:1, b:0),
% 0.90/1.30 tc_fun [193, 2] (w:1, o:219, a:1, s:1, b:0),
% 0.90/1.30 class_Orderings_Oorder [194, 1] (w:1, o:161, a:1, s:1, b:0),
% 0.90/1.30 class_RealVector_Oreal__normed__field [196, 1] (w:1, o:151, a:1, s:1
% 0.90/1.30 , b:0),
% 0.90/1.30 c_Complex_Ocomplex_Ocomplex__case [198, 3] (w:1, o:237, a:1, s:1, b:0
% 0.90/1.30 ),
% 0.90/1.30 c_Complex_Ocomplex_Ocomplex__rec [199, 3] (w:1, o:238, a:1, s:1, b:0)
% 0.90/1.30 ,
% 0.90/1.30 c_RealVector_Onorm__class_Onorm [200, 2] (w:1, o:220, a:1, s:1, b:0)
% 0.90/1.30 ,
% 0.90/1.30 class_RealVector_Oreal__normed__div__algebra [201, 1] (w:1, o:152, a:
% 0.90/1.30 1, s:1, b:0),
% 0.90/1.30 class_RealVector_Oreal__normed__vector [202, 1] (w:1, o:153, a:1, s:1
% 0.90/1.30 , b:0),
% 0.90/1.30 class_RealVector_Oreal__normed__algebra__1 [203, 1] (w:1, o:154, a:1
% 0.90/1.30 , s:1, b:0),
% 0.90/1.30 c_Groups_Oone__class_Oone [204, 1] (w:1, o:181, a:1, s:1, b:0),
% 0.90/1.30 c_Nat_OSuc [205, 1] (w:1, o:182, a:1, s:1, b:0),
% 0.90/1.30 class_Groups_Oone [210, 1] (w:1, o:183, a:1, s:1, b:0),
% 0.90/1.30 class_Rings_Osemiring__0 [213, 1] (w:1, o:148, a:1, s:1, b:0),
% 0.90/1.30 class_Rings_Oring__1 [214, 1] (w:1, o:128, a:1, s:1, b:0),
% 0.90/1.30 class_Rings_Olinordered__semiring__1 [216, 1] (w:1, o:142, a:1, s:1
% 0.90/1.30 , b:0),
% 0.90/1.30 class_Rings_Olinordered__semiring__1__strict [217, 1] (w:1, o:143, a:
% 0.90/1.30 1, s:1, b:0),
% 0.90/1.30 class_Rings_Ocomm__ring__1 [218, 1] (w:1, o:121, a:1, s:1, b:0),
% 0.90/1.30 c_Transcendental_Oarctan [219, 1] (w:1, o:184, a:1, s:1, b:0),
% 3.09/3.49 tc_HOL_Obool [222, 0] (w:1, o:33, a:1, s:1, b:0),
% 3.09/3.49 alpha1 [223, 4] (w:1, o:278, a:1, s:1, b:1),
% 3.09/3.49 alpha2 [224, 4] (w:1, o:280, a:1, s:1, b:1),
% 3.09/3.49 alpha3 [225, 3] (w:1, o:249, a:1, s:1, b:1),
% 3.09/3.49 alpha4 [226, 3] (w:1, o:255, a:1, s:1, b:1),
% 3.09/3.49 alpha5 [227, 3] (w:1, o:258, a:1, s:1, b:1),
% 3.09/3.49 alpha6 [228, 3] (w:1, o:259, a:1, s:1, b:1),
% 3.09/3.49 alpha7 [229, 3] (w:1, o:262, a:1, s:1, b:1),
% 3.09/3.49 alpha8 [230, 3] (w:1, o:263, a:1, s:1, b:1),
% 3.09/3.49 alpha9 [231, 3] (w:1, o:264, a:1, s:1, b:1),
% 3.09/3.49 alpha10 [232, 3] (w:1, o:265, a:1, s:1, b:1),
% 3.09/3.49 alpha11 [233, 3] (w:1, o:266, a:1, s:1, b:1),
% 3.09/3.49 alpha12 [234, 3] (w:1, o:267, a:1, s:1, b:1),
% 3.09/3.49 alpha13 [235, 3] (w:1, o:268, a:1, s:1, b:1),
% 3.09/3.49 alpha14 [236, 3] (w:1, o:269, a:1, s:1, b:1),
% 3.09/3.49 alpha15 [237, 3] (w:1, o:270, a:1, s:1, b:1),
% 3.09/3.49 alpha16 [238, 3] (w:1, o:271, a:1, s:1, b:1),
% 3.09/3.49 alpha17 [239, 3] (w:1, o:272, a:1, s:1, b:1),
% 3.09/3.49 alpha18 [240, 3] (w:1, o:273, a:1, s:1, b:1),
% 3.09/3.49 alpha19 [241, 3] (w:1, o:274, a:1, s:1, b:1),
% 3.09/3.49 alpha20 [242, 3] (w:1, o:241, a:1, s:1, b:1),
% 3.09/3.49 alpha21 [243, 3] (w:1, o:242, a:1, s:1, b:1),
% 3.09/3.49 alpha22 [244, 3] (w:1, o:243, a:1, s:1, b:1),
% 3.09/3.49 alpha23 [245, 3] (w:1, o:244, a:1, s:1, b:1),
% 3.09/3.49 alpha24 [246, 3] (w:1, o:245, a:1, s:1, b:1),
% 3.09/3.49 alpha25 [247, 3] (w:1, o:246, a:1, s:1, b:1),
% 3.09/3.49 alpha26 [248, 3] (w:1, o:247, a:1, s:1, b:1),
% 3.09/3.49 alpha27 [249, 2] (w:1, o:222, a:1, s:1, b:1),
% 3.09/3.49 alpha28 [250, 2] (w:1, o:223, a:1, s:1, b:1),
% 3.09/3.49 alpha29 [251, 3] (w:1, o:248, a:1, s:1, b:1),
% 3.09/3.49 alpha30 [252, 3] (w:1, o:250, a:1, s:1, b:1),
% 3.09/3.49 alpha31 [253, 2] (w:1, o:224, a:1, s:1, b:1),
% 3.09/3.49 alpha32 [254, 2] (w:1, o:225, a:1, s:1, b:1),
% 3.09/3.49 alpha33 [255, 2] (w:1, o:226, a:1, s:1, b:1),
% 3.09/3.49 alpha34 [256, 4] (w:1, o:281, a:1, s:1, b:1),
% 3.09/3.49 alpha35 [257, 4] (w:1, o:282, a:1, s:1, b:1),
% 3.09/3.49 alpha36 [258, 3] (w:1, o:251, a:1, s:1, b:1),
% 3.09/3.49 alpha37 [259, 3] (w:1, o:252, a:1, s:1, b:1),
% 3.09/3.49 alpha38 [260, 3] (w:1, o:253, a:1, s:1, b:1),
% 3.09/3.49 alpha39 [261, 3] (w:1, o:254, a:1, s:1, b:1),
% 3.09/3.49 alpha40 [262, 3] (w:1, o:256, a:1, s:1, b:1),
% 3.09/3.49 alpha41 [263, 3] (w:1, o:257, a:1, s:1, b:1),
% 3.09/3.49 alpha42 [264, 4] (w:1, o:283, a:1, s:1, b:1),
% 3.09/3.49 alpha43 [265, 4] (w:1, o:284, a:1, s:1, b:1),
% 3.09/3.49 alpha44 [266, 4] (w:1, o:285, a:1, s:1, b:1),
% 3.09/3.49 alpha45 [267, 4] (w:1, o:286, a:1, s:1, b:1),
% 3.09/3.49 alpha46 [268, 4] (w:1, o:287, a:1, s:1, b:1),
% 3.09/3.49 alpha47 [269, 4] (w:1, o:288, a:1, s:1, b:1),
% 3.09/3.49 alpha48 [270, 4] (w:1, o:289, a:1, s:1, b:1),
% 3.09/3.49 alpha49 [271, 4] (w:1, o:290, a:1, s:1, b:1),
% 3.09/3.49 alpha50 [272, 4] (w:1, o:291, a:1, s:1, b:1),
% 3.09/3.49 alpha51 [273, 4] (w:1, o:292, a:1, s:1, b:1),
% 3.09/3.49 alpha52 [274, 4] (w:1, o:293, a:1, s:1, b:1),
% 3.09/3.49 alpha53 [275, 4] (w:1, o:294, a:1, s:1, b:1),
% 3.09/3.49 alpha54 [276, 4] (w:1, o:295, a:1, s:1, b:1),
% 3.09/3.49 alpha55 [277, 4] (w:1, o:296, a:1, s:1, b:1),
% 3.09/3.49 alpha56 [278, 4] (w:1, o:297, a:1, s:1, b:1),
% 3.09/3.49 alpha57 [279, 4] (w:1, o:298, a:1, s:1, b:1),
% 3.09/3.49 alpha58 [280, 4] (w:1, o:299, a:1, s:1, b:1),
% 3.09/3.49 alpha59 [281, 4] (w:1, o:300, a:1, s:1, b:1),
% 3.09/3.49 alpha60 [282, 2] (w:1, o:227, a:1, s:1, b:1),
% 3.09/3.49 alpha61 [283, 3] (w:1, o:260, a:1, s:1, b:1),
% 3.09/3.49 alpha62 [284, 3] (w:1, o:261, a:1, s:1, b:1),
% 3.09/3.49 alpha63 [285, 2] (w:1, o:228, a:1, s:1, b:1),
% 3.09/3.49 alpha64 [286, 2] (w:1, o:229, a:1, s:1, b:1),
% 3.09/3.49 alpha65 [287, 4] (w:1, o:301, a:1, s:1, b:1),
% 3.09/3.49 alpha66 [288, 4] (w:1, o:302, a:1, s:1, b:1),
% 3.09/3.49 alpha67 [289, 4] (w:1, o:303, a:1, s:1, b:1),
% 3.09/3.49 alpha68 [290, 4] (w:1, o:304, a:1, s:1, b:1),
% 3.09/3.49 alpha69 [291, 4] (w:1, o:305, a:1, s:1, b:1),
% 3.09/3.49 alpha70 [292, 4] (w:1, o:306, a:1, s:1, b:1),
% 3.09/3.49 alpha71 [293, 4] (w:1, o:307, a:1, s:1, b:1),
% 3.09/3.49 alpha72 [294, 4] (w:1, o:308, a:1, s:1, b:1),
% 3.09/3.49 alpha73 [295, 4] (w:1, o:309, a:1, s:1, b:1),
% 3.09/3.49 alpha74 [296, 4] (w:1, o:310, a:1, s:1, b:1),
% 3.09/3.49 alpha75 [297, 4] (w:1, o:311, a:1, s:1, b:1),
% 3.09/3.49 alpha76 [298, 4] (w:1, o:312, a:1, s:1, b:1),
% 3.09/3.49 alpha77 [299, 4] (w:1, o:313, a:1, s:1, b:1),
% 3.09/3.49 alpha78 [300, 4] (w:1, o:314, a:1, s:1, b:1),
% 3.09/3.49 alpha79 [301, 4] (w:1, o:315, a:1, s:1, b:1),
% 3.09/3.49 alpha80 [302, 4] (w:1, o:316, a:1, s:1, b:1),
% 3.09/3.49 alpha81 [303, 4] (w:1, o:317, a:1, s:1, b:1),
% 3.09/3.49 alpha82 [304, 4] (w:1, o:318, a:1, s:1, b:1),
% 3.09/3.49 alpha83 [305, 4] (w:1, o:319, a:1, s:1, b:1),
% 3.09/3.49 alpha84 [306, 4] (w:1, o:320, a:1, s:1, b:1),
% 3.09/3.49 alpha85 [307, 4] (w:1, o:321, a:1, s:1, b:1),
% 3.09/3.49 alpha86 [308, 4] (w:1, o:322, a:1, s:1, b:1),
% 3.09/3.49 alpha87 [309, 4] (w:1, o:323, a:1, s:1, b:1),
% 3.09/3.49 alpha88 [310, 4] (w:1, o:324, a:1, s:1, b:1),
% 3.09/3.49 alpha89 [311, 4] (w:1, o:325, a:1, s:1, b:1),
% 3.09/3.49 alpha90 [312, 4] (w:1, o:326, a:1, s:1, b:1),
% 3.09/3.49 alpha91 [313, 4] (w:1, o:327, a:1, s:1, b:1),
% 3.09/3.49 alpha92 [314, 4] (w:1, o:328, a:1, s:1, b:1),
% 3.09/3.49 alpha93 [315, 4] (w:1, o:329, a:1, s:1, b:1),
% 3.09/3.49 alpha94 [316, 4] (w:1, o:330, a:1, s:1, b:1),
% 3.09/3.49 alpha95 [317, 4] (w:1, o:331, a:1, s:1, b:1),
% 3.09/3.49 alpha96 [318, 4] (w:1, o:332, a:1, s:1, b:1),
% 3.09/3.49 alpha97 [319, 4] (w:1, o:333, a:1, s:1, b:1),
% 3.09/3.49 alpha98 [320, 4] (w:1, o:334, a:1, s:1, b:1),
% 3.09/3.49 alpha99 [321, 4] (w:1, o:335, a:1, s:1, b:1),
% 3.09/3.49 alpha100 [322, 4] (w:1, o:279, a:1, s:1, b:1),
% 3.09/3.49 alpha101 [323, 2] (w:1, o:221, a:1, s:1, b:1),
% 3.09/3.49 alpha102 [324, 3] (w:1, o:239, a:1, s:1, b:1),
% 3.09/3.49 alpha103 [325, 3] (w:1, o:240, a:1, s:1, b:1),
% 3.09/3.49 skol1 [326, 2] (w:1, o:215, a:1, s:1, b:1),
% 3.09/3.49 skol2 [327, 0] (w:1, o:18, a:1, s:1, b:1),
% 3.09/3.49 skol3 [328, 3] (w:1, o:275, a:1, s:1, b:1),
% 3.09/3.49 skol4 [329, 2] (w:1, o:216, a:1, s:1, b:1),
% 3.09/3.49 skol5 [330, 3] (w:1, o:276, a:1, s:1, b:1),
% 3.09/3.49 skol6 [331, 3] (w:1, o:277, a:1, s:1, b:1),
% 3.09/3.49 skol7 [332, 2] (w:1, o:217, a:1, s:1, b:1),
% 3.09/3.49 skol8 [333, 1] (w:1, o:185, a:1, s:1, b:1),
% 3.09/3.49 skol9 [334, 2] (w:1, o:218, a:1, s:1, b:1),
% 3.09/3.49 skol10 [335, 0] (w:1, o:17, a:1, s:1, b:1).
% 3.09/3.49
% 3.09/3.49
% 3.09/3.49 Starting Search:
% 3.09/3.49
% 3.09/3.49 *** allocated 170857 integers for clauses
% 3.09/3.49 Resimplifying inuse:
% 3.09/3.49 Done
% 3.09/3.49
% 3.09/3.49
% 3.09/3.49 Intermediate Status:
% 3.09/3.49 Generated: 2706
% 3.09/3.49 Kept: 2000
% 3.09/3.49 Inuse: 20
% 3.09/3.49 Deleted: 1
% 3.09/3.49 Deletedinuse: 0
% 3.09/3.49
% 3.09/3.49 *** allocated 256285 integers for clauses
% 3.09/3.49 Resimplifying inuse:
% 3.09/3.49 Done
% 3.09/3.49
% 3.09/3.49 *** allocated 170857 integers for termspace/termends
% 3.09/3.49 *** allocated 384427 integers for clauses
% 3.09/3.49
% 3.09/3.49 Intermediate Status:
% 3.09/3.49 Generated: 7931
% 3.09/3.49 Kept: 4000
% 3.09/3.49 Inuse: 226
% 3.09/3.49 Deleted: 16
% 3.09/3.49 Deletedinuse: 0
% 3.09/3.49
% 3.09/3.49 Resimplifying inuse:
% 3.09/3.49 Done
% 3.09/3.49
% 3.09/3.49 *** allocated 256285 integers for termspace/termends
% 3.09/3.49 Resimplifying inuse:
% 3.09/3.49 Done
% 3.09/3.49
% 3.09/3.49 *** allocated 576640 integers for clauses
% 3.09/3.49
% 3.09/3.49 Intermediate Status:
% 3.09/3.49 Generated: 18075
% 3.09/3.49 Kept: 6016
% 3.09/3.49 Inuse: 298
% 3.09/3.49 Deleted: 24
% 3.09/3.49 Deletedinuse: 1
% 3.09/3.49
% 3.09/3.49 Resimplifying inuse:
% 3.09/3.49 Done
% 3.09/3.49
% 3.09/3.49 Resimplifying inuse:
% 3.09/3.49 Done
% 3.09/3.49
% 3.09/3.49
% 3.09/3.49 Intermediate Status:
% 3.09/3.49 Generated: 29960
% 3.09/3.49 Kept: 8020
% 3.09/3.49 Inuse: 488
% 3.09/3.49 Deleted: 37
% 3.09/3.49 Deletedinuse: 1
% 3.09/3.49
% 3.09/3.49 *** allocated 864960 integers for clauses
% 3.09/3.49 Resimplifying inuse:
% 3.09/3.49 Done
% 3.09/3.49
% 3.09/3.49 *** allocated 384427 integers for termspace/termends
% 3.09/3.49 Resimplifying inuse:
% 3.09/3.49 Done
% 3.09/3.49
% 3.09/3.49
% 3.09/3.49 Intermediate Status:
% 3.09/3.49 Generated: 38329
% 3.09/3.49 Kept: 10061
% 3.09/3.49 Inuse: 597
% 3.09/3.49 Deleted: 45
% 3.09/3.49 Deletedinuse: 1
% 3.09/3.49
% 3.09/3.49 Resimplifying inuse:
% 3.09/3.49 Done
% 3.09/3.49
% 3.09/3.49
% 3.09/3.49 Intermediate Status:
% 3.09/3.49 Generated: 49305
% 3.09/3.49 Kept: 12629
% 3.09/3.49 Inuse: 657
% 3.09/3.49 Deleted: 45
% 3.09/3.49 Deletedinuse: 1
% 3.09/3.49
% 3.09/3.49 Resimplifying inuse:
% 3.09/3.49 Done
% 3.09/3.49
% 3.09/3.49 Resimplifying inuse:
% 3.09/3.49 Done
% 3.09/3.49
% 3.09/3.49 *** allocated 576640 integers for termspace/termends
% 3.09/3.49
% 3.09/3.49 Intermediate Status:
% 3.09/3.49 Generated: 57479
% 3.09/3.49 Kept: 14634
% 3.09/3.49 Inuse: 730
% 3.09/3.49 Deleted: 47
% 3.09/3.49 Deletedinuse: 1
% 3.09/3.49
% 3.09/3.49 Resimplifying inuse:
% 3.09/3.49 Done
% 3.09/3.49
% 3.09/3.49 *** allocated 1297440 integers for clauses
% 3.09/3.49 Resimplifying inuse:
% 3.09/3.49 Done
% 3.09/3.49
% 3.09/3.49
% 3.09/3.49 Intermediate Status:
% 3.09/3.49 Generated: 64366
% 3.09/3.49 Kept: 16647
% 3.09/3.49 Inuse: 808
% 3.09/3.49 Deleted: 47
% 3.09/3.49 Deletedinuse: 1
% 3.09/3.49
% 3.09/3.49 Resimplifying inuse:
% 3.09/3.49 Done
% 3.09/3.49
% 3.09/3.49 Resimplifying inuse:
% 3.09/3.49 Done
% 3.09/3.49
% 3.09/3.49
% 3.09/3.49 Intermediate Status:
% 3.09/3.49 Generated: 71522
% 3.09/3.49 Kept: 18651
% 3.09/3.49 Inuse: 883
% 3.09/3.49 Deleted: 48
% 3.09/3.49 Deletedinuse: 1
% 3.09/3.49
% 3.09/3.49 Resimplifying inuse:
% 3.09/3.49 Done
% 3.09/3.49
% 3.09/3.49 Resimplifying inuse:
% 3.09/3.49 Done
% 3.09/3.49
% 3.09/3.49 Resimplifying clauses:
% 3.09/3.49
% 3.09/3.49 Bliksems!, er is een bewijs:
% 3.09/3.49 % SZS status Theorem
% 3.09/3.49 % SZS output start Refutation
% 3.09/3.49
% 3.09/3.49 (9) {G0,W13,D7,L1,V1,M1} I { c_NthRoot_Osqrt( c_Power_Opower__class_Opower
% 3.09/3.49 ( tc_RealDef_Oreal, X, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 3.09/3.49 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ==>
% 3.09/3.49 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) }.
% 3.09/3.49 (10) {G0,W9,D4,L1,V1,M1} I { c_NthRoot_Osqrt( c_Groups_Otimes__class_Otimes
% 3.09/3.49 ( tc_RealDef_Oreal, X, X ) ) ==> c_Groups_Oabs__class_Oabs(
% 3.09/3.49 tc_RealDef_Oreal, X ) }.
% 3.09/3.49 (61) {G0,W17,D4,L2,V3,M2} I { ! class_Int_Onumber__ring( X ),
% 3.09/3.49 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X, Z )
% 3.09/3.49 , c_Int_Onumber__class_Onumber__of( X, Y ) ) ==>
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 3.09/3.49 tc_Int_Oint, Z, Y ) ) }.
% 3.09/3.49 (72) {G0,W7,D3,L1,V1,M1} I { c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, X
% 3.09/3.49 ) ==> c_Int_OBit0( X ) }.
% 3.09/3.49 (94) {G0,W15,D6,L2,V2,M2} I { ! class_Int_Onumber__ring( X ),
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, Y, c_Int_Onumber__class_Onumber__of( X
% 3.09/3.49 , c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) =
% 3.09/3.49 c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 3.09/3.49 (1588) {G0,W2,D2,L1,V0,M1} I { class_Int_Onumber__ring( tc_RealDef_Oreal )
% 3.09/3.49 }.
% 3.09/3.49 (1638) {G1,W15,D7,L1,V0,M1} I;d(9) { ! c_Groups_Oabs__class_Oabs(
% 3.09/3.49 tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 3.09/3.49 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ==> c_NthRoot_Osqrt(
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.09/3.49 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 3.09/3.49 (7605) {G1,W15,D7,L1,V0,M1} P(94,10);d(61);d(72);r(1588) {
% 3.09/3.49 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.09/3.49 c_Int_OBit1( c_Int_OPls ) ) ) ) ==> c_NthRoot_Osqrt(
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.09/3.49 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 3.09/3.49 (20025) {G2,W0,D0,L0,V0,M0} S(7605);r(1638) { }.
% 3.09/3.49
% 3.09/3.49
% 3.09/3.49 % SZS output end Refutation
% 3.09/3.49 found a proof!
% 3.09/3.49
% 3.09/3.49
% 3.09/3.49 Unprocessed initial clauses:
% 3.09/3.49
% 3.09/3.49 (20027) {G0,W32,D7,L1,V1,M1} { c_Rings_Oinverse__class_Odivide(
% 3.09/3.49 tc_RealDef_Oreal, c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.49 c_Int_OPls ) ) ) ), c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 3.09/3.49 c_Int_OBit0( c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) =
% 3.09/3.49 c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 3.09/3.49 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.09/3.49 c_Int_OBit1( c_Int_OPls ) ) ) ), c_Int_Onumber__class_Onumber__of(
% 3.09/3.49 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 3.09/3.49 (20028) {G0,W11,D4,L1,V2,M1} { c_NthRoot_Osqrt(
% 3.09/3.49 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y, X ) ) =
% 3.09/3.49 c_Power_Opower__class_Opower( tc_RealDef_Oreal, c_NthRoot_Osqrt( Y ), X )
% 3.09/3.49 }.
% 3.09/3.49 (20029) {G0,W4,D3,L1,V0,M1} { c_Int_OBit0( c_Int_OPls ) = c_Int_OPls }.
% 3.09/3.49 (20030) {G0,W7,D3,L2,V1,M2} { ! c_Int_OPls = c_Int_OBit0( X ), c_Int_OPls
% 3.09/3.49 = X }.
% 3.09/3.49 (20031) {G0,W7,D3,L2,V1,M2} { ! c_Int_OPls = X, c_Int_OPls = c_Int_OBit0(
% 3.09/3.49 X ) }.
% 3.09/3.49 (20032) {G0,W7,D3,L2,V1,M2} { ! c_Int_OBit0( X ) = c_Int_OPls, X =
% 3.09/3.49 c_Int_OPls }.
% 3.09/3.49 (20033) {G0,W7,D3,L2,V1,M2} { ! X = c_Int_OPls, c_Int_OBit0( X ) =
% 3.09/3.49 c_Int_OPls }.
% 3.09/3.49 (20034) {G0,W5,D3,L1,V2,M1} { ! c_Int_OBit0( Y ) = c_Int_OBit1( X ) }.
% 3.09/3.49 (20035) {G0,W5,D3,L1,V2,M1} { ! c_Int_OBit1( Y ) = c_Int_OBit0( X ) }.
% 3.09/3.49 (20036) {G0,W4,D3,L1,V1,M1} { ! c_Int_OPls = c_Int_OBit1( X ) }.
% 3.09/3.49 (20037) {G0,W4,D3,L1,V1,M1} { ! c_Int_OBit1( X ) = c_Int_OPls }.
% 3.09/3.49 (20038) {G0,W32,D7,L1,V1,M1} { c_Groups_Otimes__class_Otimes(
% 3.09/3.49 tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 3.09/3.49 c_Int_OBit0( c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 3.09/3.49 c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.49 c_Int_OPls ) ) ) ) ) = c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 3.09/3.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.09/3.49 c_Int_OBit1( c_Int_OPls ) ) ), X ), c_Int_Onumber__class_Onumber__of(
% 3.09/3.49 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 3.09/3.49 (20039) {G0,W23,D6,L3,V2,M3} { ! class_Groups_Omonoid__mult( X ), !
% 3.09/3.49 class_Int_Onumber( X ), c_Power_Opower__class_Opower( X,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( X, Y ),
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.49 c_Int_OPls ) ) ) ) = c_Groups_Otimes__class_Otimes( X,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( X, Y ),
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 3.09/3.49 (20040) {G0,W13,D7,L1,V1,M1} { c_NthRoot_Osqrt(
% 3.09/3.49 c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.49 c_Int_OPls ) ) ) ) ) = c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X )
% 3.09/3.49 }.
% 3.09/3.49 (20041) {G0,W9,D4,L1,V1,M1} { c_NthRoot_Osqrt(
% 3.09/3.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 3.09/3.49 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) }.
% 3.09/3.49 (20042) {G0,W17,D4,L2,V3,M2} { ! class_Int_Onumber__ring( X ),
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( X, c_Groups_Otimes__class_Otimes(
% 3.09/3.49 tc_Int_Oint, Z, Y ) ) = c_Groups_Otimes__class_Otimes( X,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( X, Z ),
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 3.09/3.49 (20043) {G0,W17,D4,L2,V3,M2} { ! class_Int_Onumber__ring( X ),
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Z
% 3.09/3.49 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( X, c_Groups_Otimes__class_Otimes(
% 3.09/3.49 tc_Int_Oint, Z, Y ) ) }.
% 3.09/3.49 (20044) {G0,W23,D5,L2,V4,M2} { ! class_Int_Onumber__ring( X ),
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 3.09/3.49 ), c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X
% 3.09/3.49 , Z ), Y ) ) = c_Groups_Otimes__class_Otimes( X,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( X, c_Groups_Otimes__class_Otimes(
% 3.09/3.49 tc_Int_Oint, T, Z ) ), Y ) }.
% 3.09/3.49 (20045) {G0,W15,D4,L1,V2,M1} { c_Rings_Oinverse__class_Odivide(
% 3.09/3.49 tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X )
% 3.09/3.49 , c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ) ) =
% 3.09/3.49 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, Y ) }.
% 3.09/3.49 (20046) {G0,W6,D3,L1,V1,M1} { c_Groups_Otimes__class_Otimes( tc_Int_Oint,
% 3.09/3.49 c_Int_OPls, X ) = c_Int_OPls }.
% 3.09/3.49 (20047) {G0,W11,D4,L1,V2,M1} { c_Groups_Otimes__class_Otimes( tc_Int_Oint
% 3.09/3.49 , c_Int_OBit0( Y ), X ) = c_Int_OBit0( c_Groups_Otimes__class_Otimes(
% 3.09/3.49 tc_Int_Oint, Y, X ) ) }.
% 3.09/3.49 (20048) {G0,W12,D4,L1,V2,M1} { c_NthRoot_Osqrt(
% 3.09/3.49 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ) =
% 3.09/3.49 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_NthRoot_Osqrt( Y ),
% 3.09/3.49 c_NthRoot_Osqrt( X ) ) }.
% 3.09/3.49 (20049) {G0,W12,D4,L1,V2,M1} { c_NthRoot_Osqrt(
% 3.09/3.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) =
% 3.09/3.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, c_NthRoot_Osqrt( Y ),
% 3.09/3.49 c_NthRoot_Osqrt( X ) ) }.
% 3.09/3.49 (20050) {G0,W13,D5,L3,V2,M3} { ! class_Fields_Ofield( X ), !
% 3.09/3.49 class_Int_Onumber__ring( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ) ) = Y
% 3.09/3.49 }.
% 3.09/3.49 (20051) {G0,W13,D5,L3,V2,M3} { ! class_Fields_Ofield( X ), !
% 3.09/3.49 class_Int_Onumber__ring( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ) ) = Y
% 3.09/3.49 }.
% 3.09/3.49 (20052) {G0,W11,D5,L2,V2,M2} { ! class_Int_Onumber__ring( X ),
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 3.09/3.49 c_Int_OBit1( c_Int_OPls ) ), Y ) = Y }.
% 3.09/3.49 (20053) {G0,W11,D5,L2,V2,M2} { ! class_Int_Onumber__ring( X ),
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, Y, c_Int_Onumber__class_Onumber__of( X
% 3.09/3.49 , c_Int_OBit1( c_Int_OPls ) ) ) = Y }.
% 3.09/3.49 (20054) {G0,W18,D6,L2,V2,M2} { ! class_Groups_Omonoid__mult( X ),
% 3.09/3.49 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 3.09/3.49 tc_Nat_Onat, c_Int_OBit1( c_Int_OBit1( c_Int_OPls ) ) ) ) =
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, Y, Y
% 3.09/3.49 ), Y ) }.
% 3.09/3.49 (20055) {G0,W14,D3,L4,V3,M4} { ! class_Int_Onumber__ring( X ), !
% 3.09/3.49 class_Int_Oring__char__0( X ), ! c_Int_Onumber__class_Onumber__of( X, Z )
% 3.09/3.49 = c_Int_Onumber__class_Onumber__of( X, Y ), Z = Y }.
% 3.09/3.49 (20056) {G0,W14,D3,L4,V3,M4} { ! class_Int_Onumber__ring( X ), !
% 3.09/3.49 class_Int_Oring__char__0( X ), ! Z = Y, c_Int_Onumber__class_Onumber__of
% 3.09/3.49 ( X, Z ) = c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 3.09/3.49 (20057) {G0,W12,D3,L3,V3,M3} { ! class_Int_Onumber( X ), !
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( X, Z ) = Y, Y =
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( X, Z ) }.
% 3.09/3.49 (20058) {G0,W12,D3,L3,V3,M3} { ! class_Int_Onumber( X ), ! Y =
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( X, Z ),
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( X, Z ) = Y }.
% 3.09/3.49 (20059) {G0,W8,D3,L2,V2,M2} { ! c_Int_OBit1( Y ) = c_Int_OBit1( X ), Y = X
% 3.09/3.49 }.
% 3.09/3.49 (20060) {G0,W8,D3,L2,V2,M2} { ! Y = X, c_Int_OBit1( Y ) = c_Int_OBit1( X )
% 3.09/3.49 }.
% 3.09/3.49 (20061) {G0,W8,D3,L2,V2,M2} { ! c_Int_OBit0( Y ) = c_Int_OBit0( X ), Y = X
% 3.09/3.49 }.
% 3.09/3.49 (20062) {G0,W8,D3,L2,V2,M2} { ! Y = X, c_Int_OBit0( Y ) = c_Int_OBit0( X )
% 3.09/3.49 }.
% 3.09/3.49 (20063) {G0,W21,D6,L2,V2,M2} { ! class_Rings_Olinordered__idom( X ),
% 3.09/3.49 c_Power_Opower__class_Opower( X, c_Groups_Oabs__class_Oabs( X, Y ),
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.49 c_Int_OPls ) ) ) ) = c_Power_Opower__class_Opower( X, Y,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.49 c_Int_OPls ) ) ) ) }.
% 3.09/3.49 (20064) {G0,W21,D7,L2,V2,M2} { ! class_Rings_Olinordered__idom( X ),
% 3.09/3.49 c_Groups_Oabs__class_Oabs( X, c_Power_Opower__class_Opower( X, Y,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.49 c_Int_OPls ) ) ) ) ) = c_Power_Opower__class_Opower( X, Y,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.49 c_Int_OPls ) ) ) ) }.
% 3.09/3.49 (20065) {G0,W8,D3,L2,V2,M2} { ! c_NthRoot_Osqrt( Y ) = c_NthRoot_Osqrt( X
% 3.09/3.49 ), Y = X }.
% 3.09/3.49 (20066) {G0,W8,D3,L2,V2,M2} { ! Y = X, c_NthRoot_Osqrt( Y ) =
% 3.09/3.49 c_NthRoot_Osqrt( X ) }.
% 3.09/3.49 (20067) {G0,W15,D6,L2,V2,M2} { ! class_Groups_Omonoid__mult( X ),
% 3.09/3.49 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 3.09/3.49 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) =
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, Y, Y ) }.
% 3.09/3.49 (20068) {G0,W25,D7,L2,V3,M2} { ! class_Groups_Omonoid__mult( X ),
% 3.09/3.49 c_Power_Opower__class_Opower( X, Z, c_Groups_Otimes__class_Otimes(
% 3.09/3.49 tc_Nat_Onat, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0(
% 3.09/3.49 c_Int_OBit1( c_Int_OPls ) ) ), Y ) ) = c_Power_Opower__class_Opower( X,
% 3.09/3.49 c_Power_Opower__class_Opower( X, Z, Y ), c_Int_Onumber__class_Onumber__of
% 3.09/3.49 ( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 3.09/3.49 (20069) {G0,W26,D7,L2,V3,M2} { ! Z = c_Rings_Oinverse__class_Odivide(
% 3.09/3.49 tc_RealDef_Oreal, Y, c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.09/3.49 c_Int_OBit1( c_Int_OPls ) ) ), X ) ), c_Groups_Otimes__class_Otimes(
% 3.09/3.49 tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 3.09/3.49 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ), Z ) =
% 3.09/3.49 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) }.
% 3.09/3.49 (20070) {G0,W26,D7,L2,V3,M2} { ! c_Groups_Otimes__class_Otimes(
% 3.09/3.49 tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 3.09/3.49 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ), Z ) =
% 3.09/3.49 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ), Z =
% 3.09/3.49 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y,
% 3.09/3.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.09/3.49 c_Int_OBit1( c_Int_OPls ) ) ), X ) ) }.
% 3.09/3.49 (20071) {G0,W24,D7,L2,V3,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 3.09/3.49 c_Power_Opower__class_Opower( X, Z, c_Groups_Otimes__class_Otimes(
% 3.09/3.49 tc_Nat_Onat, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0(
% 3.09/3.49 c_Int_OBit1( c_Int_OPls ) ) ), Y ) ) = c_Groups_Otimes__class_Otimes( X,
% 3.09/3.49 c_Power_Opower__class_Opower( X, Z, Y ), c_Power_Opower__class_Opower( X
% 3.09/3.49 , Z, Y ) ) }.
% 3.09/3.49 (20072) {G0,W15,D6,L2,V2,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, Y, Y ) = c_Power_Opower__class_Opower(
% 3.09/3.49 X, Y, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0(
% 3.09/3.49 c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 3.09/3.49 (20073) {G0,W85,D10,L1,V4,M1} { c_Power_Opower__class_Opower(
% 3.09/3.49 tc_RealDef_Oreal, c_NthRoot_Osqrt( c_Groups_Otimes__class_Otimes(
% 3.09/3.49 tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 3.09/3.49 c_Power_Opower__class_Opower( tc_RealDef_Oreal, T,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.49 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Z,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.49 c_Int_OPls ) ) ) ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 3.09/3.49 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.49 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.49 c_Int_OPls ) ) ) ) ) ) ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 3.09/3.49 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) =
% 3.09/3.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 3.09/3.49 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 3.09/3.49 c_Power_Opower__class_Opower( tc_RealDef_Oreal, T,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.49 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Z,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.49 c_Int_OPls ) ) ) ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 3.09/3.49 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.49 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.49 c_Int_OPls ) ) ) ) ) ) }.
% 3.09/3.49 (20074) {G0,W17,D4,L2,V3,M2} { !
% 3.09/3.49 class_Fields_Olinordered__field__inverse__zero( X ),
% 3.09/3.49 c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Odivide( X, Z, Y )
% 3.09/3.49 ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oabs__class_Oabs( X, Z
% 3.09/3.49 ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 3.09/3.49 (20075) {G0,W15,D4,L2,V3,M2} { ! class_Rings_Olinordered__idom( X ),
% 3.09/3.49 c_Groups_Oabs__class_Oabs( X, c_Power_Opower__class_Opower( X, Z, Y ) ) =
% 3.09/3.49 c_Power_Opower__class_Opower( X, c_Groups_Oabs__class_Oabs( X, Z ), Y )
% 3.09/3.49 }.
% 3.09/3.49 (20076) {G0,W20,D4,L2,V4,M2} { ! class_Fields_Ofield__inverse__zero( X ),
% 3.09/3.49 c_Power_Opower__class_Opower( X, c_Rings_Oinverse__class_Odivide( X, T, Z
% 3.09/3.49 ), Y ) = c_Rings_Oinverse__class_Odivide( X,
% 3.09/3.49 c_Power_Opower__class_Opower( X, T, Y ), c_Power_Opower__class_Opower( X
% 3.09/3.49 , Z, Y ) ) }.
% 3.09/3.49 (20077) {G0,W17,D4,L2,V3,M2} { ! class_Rings_Olinordered__idom( X ),
% 3.09/3.49 c_Groups_Oabs__class_Oabs( X, c_Groups_Otimes__class_Otimes( X, Z, Y ) )
% 3.09/3.49 = c_Groups_Otimes__class_Otimes( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 3.09/3.49 c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 3.09/3.49 (20078) {G0,W15,D4,L2,V2,M2} { ! class_Rings_Olinordered__idom( X ),
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, c_Groups_Oabs__class_Oabs( X, Y ),
% 3.09/3.49 c_Groups_Oabs__class_Oabs( X, Y ) ) = c_Groups_Otimes__class_Otimes( X, Y
% 3.09/3.49 , Y ) }.
% 3.09/3.49 (20079) {G0,W45,D8,L2,V3,M2} { ! class_Int_Onumber__ring( X ),
% 3.09/3.49 c_Power_Opower__class_Opower( X, c_Groups_Oplus__class_Oplus( X, Z, Y ),
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.49 c_Int_OPls ) ) ) ) = c_Groups_Oplus__class_Oplus( X,
% 3.09/3.49 c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.49 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.49 c_Int_OPls ) ) ) ) ), c_Groups_Otimes__class_Otimes( X,
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 3.09/3.49 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ), Z ), Y ) ) }.
% 3.09/3.49 (20080) {G0,W17,D4,L2,V4,M2} { ! class_Rings_Odivision__ring( X ),
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, T, c_Rings_Oinverse__class_Odivide( X,
% 3.09/3.49 Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X,
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) }.
% 3.09/3.49 (20081) {G0,W23,D4,L2,V5,M2} { ! class_Fields_Ofield__inverse__zero( X ),
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, c_Rings_Oinverse__class_Odivide( X, U,
% 3.09/3.49 T ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 3.09/3.49 c_Rings_Oinverse__class_Odivide( X, c_Groups_Otimes__class_Otimes( X, U,
% 3.09/3.49 Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 3.09/3.49 (20082) {G0,W9,D3,L1,V2,M1} { c_Groups_Otimes__class_Otimes( tc_Int_Oint,
% 3.09/3.49 Y, X ) = c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y ) }.
% 3.09/3.49 (20083) {G0,W18,D4,L1,V3,M1} { c_Power_Opower__class_Opower( tc_Int_Oint,
% 3.09/3.49 Z, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) =
% 3.09/3.49 c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Power_Opower__class_Opower
% 3.09/3.49 ( tc_Int_Oint, Z, Y ), c_Power_Opower__class_Opower( tc_Int_Oint, Z, X )
% 3.09/3.49 ) }.
% 3.09/3.49 (20084) {G0,W18,D4,L1,V3,M1} { c_Groups_Otimes__class_Otimes( tc_Int_Oint
% 3.09/3.49 , Z, c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) =
% 3.09/3.49 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 3.09/3.49 tc_Int_Oint, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ) )
% 3.09/3.49 }.
% 3.09/3.49 (20085) {G0,W15,D4,L1,V2,M1} { c_Groups_Otimes__class_Otimes( tc_Int_Oint
% 3.09/3.49 , c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) =
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 3.09/3.49 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 3.09/3.49 (20086) {G0,W15,D4,L1,V3,M1} { c_Power_Opower__class_Opower( tc_Int_Oint,
% 3.09/3.49 c_Power_Opower__class_Opower( tc_Int_Oint, Z, Y ), X ) =
% 3.09/3.49 c_Power_Opower__class_Opower( tc_Int_Oint, Z,
% 3.09/3.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 3.09/3.49 (20087) {G0,W15,D4,L1,V3,M1} { c_Groups_Otimes__class_Otimes( tc_Int_Oint
% 3.09/3.49 , c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ), X ) =
% 3.09/3.49 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z,
% 3.09/3.49 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 3.09/3.49 (20088) {G0,W18,D4,L1,V3,M1} { c_Groups_Otimes__class_Otimes( tc_Int_Oint
% 3.09/3.49 , c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, Y ), X ) =
% 3.09/3.49 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 3.09/3.49 tc_Int_Oint, Z, X ), c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) )
% 3.09/3.49 }.
% 3.09/3.49 (20089) {G0,W23,D4,L2,V5,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 3.09/3.49 c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X, U, T ),
% 3.09/3.49 c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X
% 3.09/3.49 , c_Groups_Oplus__class_Oplus( X, U, Z ), c_Groups_Oplus__class_Oplus( X
% 3.09/3.49 , T, Y ) ) }.
% 3.09/3.49 (20090) {G0,W17,D4,L2,V4,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 3.09/3.49 c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X, T, Z ), Y
% 3.09/3.49 ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X, T, Y
% 3.09/3.49 ), Z ) }.
% 3.09/3.49 (20091) {G0,W17,D4,L2,V4,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 3.09/3.49 c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X, T, Z ), Y
% 3.09/3.49 ) = c_Groups_Oplus__class_Oplus( X, T, c_Groups_Oplus__class_Oplus( X, Z
% 3.09/3.49 , Y ) ) }.
% 3.09/3.49 (20092) {G0,W17,D4,L2,V4,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 3.09/3.49 c_Groups_Oplus__class_Oplus( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y )
% 3.09/3.49 ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X, T, Z
% 3.09/3.49 ), Y ) }.
% 3.09/3.49 (20093) {G0,W17,D4,L2,V4,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 3.09/3.49 c_Groups_Oplus__class_Oplus( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y )
% 3.09/3.49 ) = c_Groups_Oplus__class_Oplus( X, Z, c_Groups_Oplus__class_Oplus( X, T
% 3.09/3.49 , Y ) ) }.
% 3.09/3.49 (20094) {G0,W11,D3,L2,V3,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 3.09/3.49 c_Groups_Oplus__class_Oplus( X, Z, Y ) = c_Groups_Oplus__class_Oplus( X,
% 3.09/3.49 Y, Z ) }.
% 3.09/3.49 (20095) {G0,W23,D5,L2,V4,M2} { ! class_Int_Onumber__ring( X ),
% 3.09/3.49 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X, T )
% 3.09/3.49 , c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X, Z
% 3.09/3.49 ), Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 3.09/3.49 tc_Int_Oint, T, Z ) ), Y ) }.
% 3.09/3.49 (20096) {G0,W17,D4,L2,V3,M2} { ! class_Int_Onumber__ring( X ),
% 3.09/3.49 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X, Z )
% 3.09/3.49 , c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 3.09/3.49 tc_Int_Oint, Z, Y ) ) }.
% 3.09/3.49 (20097) {G0,W17,D4,L2,V3,M2} { ! class_Int_Onumber__ring( X ),
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 3.09/3.49 tc_Int_Oint, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( X, Z ),
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 3.09/3.49 (20098) {G0,W29,D4,L4,V5,M4} { !
% 3.09/3.49 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct( X
% 3.09/3.49 ), ! c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U
% 3.09/3.49 , T ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 3.09/3.49 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Y )
% 3.09/3.49 , c_Groups_Otimes__class_Otimes( X, Z, T ) ), U = Z, T = Y }.
% 3.09/3.49 (20099) {G0,W26,D4,L3,V5,M3} { !
% 3.09/3.49 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct( X
% 3.09/3.49 ), ! U = Z, c_Groups_Oplus__class_Oplus( X,
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 3.09/3.49 X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, U, Y ), c_Groups_Otimes__class_Otimes(
% 3.09/3.49 X, Z, T ) ) }.
% 3.09/3.49 (20100) {G0,W26,D4,L3,V5,M3} { !
% 3.09/3.49 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct( X
% 3.09/3.49 ), ! T = Y, c_Groups_Oplus__class_Oplus( X,
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 3.09/3.49 X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, U, Y ), c_Groups_Otimes__class_Otimes(
% 3.09/3.49 X, Z, T ) ) }.
% 3.09/3.49 (20101) {G0,W26,D5,L2,V5,M2} { ! class_Rings_Osemiring( X ),
% 3.09/3.49 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, T )
% 3.09/3.49 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, T
% 3.09/3.49 ), Y ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes
% 3.09/3.49 ( X, c_Groups_Oplus__class_Oplus( X, U, Z ), T ), Y ) }.
% 3.09/3.49 (20102) {G0,W20,D4,L2,V4,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 3.09/3.49 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, T, Z )
% 3.09/3.49 , c_Groups_Otimes__class_Otimes( X, Y, Z ) ) =
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Y )
% 3.09/3.49 , Z ) }.
% 3.09/3.49 (20103) {G0,W20,D4,L2,V4,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 3.09/3.49 , Y ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 3.09/3.49 , T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 3.09/3.49 (20104) {G0,W20,D4,L2,V4,M2} { ! class_Rings_Ocomm__semiring( X ),
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 3.09/3.49 , Y ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 3.09/3.49 , T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 3.09/3.49 (20105) {G0,W29,D4,L4,V5,M4} { !
% 3.09/3.49 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct( X
% 3.09/3.49 ), U = T, Z = Y, ! c_Groups_Oplus__class_Oplus( X,
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 3.09/3.49 X, T, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, U, Y ), c_Groups_Otimes__class_Otimes(
% 3.09/3.49 X, T, Z ) ) }.
% 3.09/3.49 (20106) {G0,W26,D4,L3,V5,M3} { !
% 3.09/3.49 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct( X
% 3.09/3.49 ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U,
% 3.09/3.49 Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) =
% 3.09/3.49 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Y )
% 3.09/3.49 , c_Groups_Otimes__class_Otimes( X, T, Z ) ), ! U = T }.
% 3.09/3.49 (20107) {G0,W26,D4,L3,V5,M3} { !
% 3.09/3.49 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct( X
% 3.09/3.49 ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U,
% 3.09/3.49 Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) =
% 3.09/3.49 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Y )
% 3.09/3.49 , c_Groups_Otimes__class_Otimes( X, T, Z ) ), ! Z = Y }.
% 3.09/3.49 (20108) {G0,W20,D4,L2,V4,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y
% 3.09/3.49 ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 3.09/3.49 T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 3.09/3.49 (20109) {G0,W20,D4,L2,V4,M2} { ! class_Rings_Odivision__ring( X ),
% 3.09/3.49 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, T, Z
% 3.09/3.49 ), Y ) = c_Groups_Oplus__class_Oplus( X, c_Rings_Oinverse__class_Odivide
% 3.09/3.49 ( X, T, Y ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 3.09/3.49 (20110) {G0,W6,D3,L1,V1,M1} { c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 3.09/3.49 c_Int_OPls, X ) = X }.
% 3.09/3.49 (20111) {G0,W6,D3,L1,V1,M1} { c_Groups_Oplus__class_Oplus( tc_Int_Oint, X
% 3.09/3.49 , c_Int_OPls ) = X }.
% 3.09/3.49 (20112) {G0,W7,D3,L1,V1,M1} { c_Int_OBit0( X ) =
% 3.09/3.49 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, X ) }.
% 3.09/3.49 (20113) {G0,W12,D4,L1,V2,M1} { c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 3.09/3.49 c_Int_OBit0( Y ), c_Int_OBit0( X ) ) = c_Int_OBit0(
% 3.09/3.49 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 3.09/3.49 (20114) {G0,W20,D4,L2,V4,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, c_Power_Opower__class_Opower( X, T, Z )
% 3.09/3.49 , c_Power_Opower__class_Opower( X, T, Y ) ) =
% 3.09/3.49 c_Power_Opower__class_Opower( X, T, c_Groups_Oplus__class_Oplus(
% 3.09/3.49 tc_Nat_Onat, Z, Y ) ) }.
% 3.09/3.49 (20115) {G0,W20,D4,L2,V4,M2} { ! class_Groups_Omonoid__mult( X ),
% 3.09/3.49 c_Power_Opower__class_Opower( X, T, c_Groups_Oplus__class_Oplus(
% 3.09/3.49 tc_Nat_Onat, Z, Y ) ) = c_Groups_Otimes__class_Otimes( X,
% 3.09/3.49 c_Power_Opower__class_Opower( X, T, Z ), c_Power_Opower__class_Opower( X
% 3.09/3.49 , T, Y ) ) }.
% 3.09/3.49 (20116) {G0,W28,D5,L3,V4,M3} { ! class_Int_Onumber( X ), !
% 3.09/3.49 class_Rings_Osemiring( X ), c_Groups_Otimes__class_Otimes( X,
% 3.09/3.49 c_Groups_Oplus__class_Oplus( X, T, Z ), c_Int_Onumber__class_Onumber__of
% 3.09/3.49 ( X, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, T, c_Int_Onumber__class_Onumber__of( X
% 3.09/3.49 , Y ) ), c_Groups_Otimes__class_Otimes( X, Z,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 3.09/3.49 (20117) {G0,W28,D5,L3,V4,M3} { ! class_Int_Onumber( X ), !
% 3.09/3.49 class_Rings_Osemiring( X ), c_Groups_Otimes__class_Otimes( X,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Oplus__class_Oplus( X
% 3.09/3.49 , Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 3.09/3.49 ), Z ), c_Groups_Otimes__class_Otimes( X,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( X, T ), Y ) ) }.
% 3.09/3.49 (20118) {G0,W10,D4,L2,V2,M2} { ! class_Int_Onumber__ring( X ),
% 3.09/3.49 c_Groups_Oplus__class_Oplus( X, Y, c_Int_Onumber__class_Onumber__of( X,
% 3.09/3.49 c_Int_OPls ) ) = Y }.
% 3.09/3.49 (20119) {G0,W10,D4,L2,V2,M2} { ! class_Int_Onumber__ring( X ),
% 3.09/3.49 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X,
% 3.09/3.49 c_Int_OPls ), Y ) = Y }.
% 3.09/3.49 (20120) {G0,W12,D4,L1,V2,M1} { c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 3.09/3.49 c_Int_OBit0( Y ), c_Int_OBit1( X ) ) = c_Int_OBit1(
% 3.09/3.49 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 3.09/3.49 (20121) {G0,W12,D4,L1,V2,M1} { c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 3.09/3.49 c_Int_OBit1( Y ), c_Int_OBit0( X ) ) = c_Int_OBit1(
% 3.09/3.49 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 3.09/3.49 (20122) {G0,W14,D5,L1,V2,M1} { c_Groups_Otimes__class_Otimes( tc_Int_Oint
% 3.09/3.49 , c_Int_OBit1( Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 3.09/3.49 c_Int_OBit0( c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ), X )
% 3.09/3.49 }.
% 3.09/3.49 (20123) {G0,W23,D4,L2,V5,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, U, T
% 3.09/3.49 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, U, Z
% 3.09/3.49 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 3.09/3.49 (20124) {G0,W23,D5,L2,V5,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, U, T
% 3.09/3.49 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Otimes__class_Otimes( X,
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, U, T ), Y ) ) }.
% 3.09/3.49 (20125) {G0,W23,D5,L2,V5,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, U, T
% 3.09/3.49 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, U, c_Groups_Otimes__class_Otimes( X, T
% 3.09/3.49 , c_Groups_Otimes__class_Otimes( X, Z, Y ) ) ) }.
% 3.09/3.49 (20126) {G0,W17,D4,L2,V4,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 3.09/3.49 ), Y ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes
% 3.09/3.49 ( X, T, Y ), Z ) }.
% 3.09/3.49 (20127) {G0,W17,D4,L2,V4,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 3.09/3.49 ), Y ) = c_Groups_Otimes__class_Otimes( X, T,
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 3.09/3.49 (20128) {G0,W17,D4,L2,V4,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 3.09/3.49 , Y ) ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes
% 3.09/3.49 ( X, T, Z ), Y ) }.
% 3.09/3.49 (20129) {G0,W17,D4,L2,V4,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 3.09/3.49 , Y ) ) = c_Groups_Otimes__class_Otimes( X, Z,
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 3.09/3.49 (20130) {G0,W11,D3,L2,V3,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, Z, Y ) = c_Groups_Otimes__class_Otimes
% 3.09/3.49 ( X, Y, Z ) }.
% 3.09/3.49 (20131) {G0,W17,D4,L2,V4,M2} { ! class_Groups_Omonoid__mult( X ),
% 3.09/3.49 c_Power_Opower__class_Opower( X, T, c_Groups_Otimes__class_Otimes(
% 3.09/3.49 tc_Nat_Onat, Z, Y ) ) = c_Power_Opower__class_Opower( X,
% 3.09/3.49 c_Power_Opower__class_Opower( X, T, Z ), Y ) }.
% 3.09/3.49 (20132) {G0,W17,D4,L2,V4,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 3.09/3.49 c_Power_Opower__class_Opower( X, c_Power_Opower__class_Opower( X, T, Z )
% 3.09/3.49 , Y ) = c_Power_Opower__class_Opower( X, T, c_Groups_Otimes__class_Otimes
% 3.09/3.49 ( tc_Nat_Onat, Z, Y ) ) }.
% 3.09/3.49 (20133) {G0,W13,D6,L1,V1,M1} { c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 3.09/3.49 , X, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0(
% 3.09/3.49 c_Int_OBit1( c_Int_OPls ) ) ) ) = c_Groups_Oplus__class_Oplus(
% 3.09/3.49 tc_Nat_Onat, X, X ) }.
% 3.09/3.49 (20134) {G0,W13,D6,L1,V1,M1} { c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 3.09/3.49 , c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1
% 3.09/3.49 ( c_Int_OPls ) ) ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, X
% 3.09/3.49 ) }.
% 3.09/3.49 (20135) {G0,W15,D6,L2,V2,M2} { ! class_Int_Onumber__ring( X ),
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, Y, c_Int_Onumber__class_Onumber__of( X
% 3.09/3.49 , c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) =
% 3.09/3.49 c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 3.09/3.49 (20136) {G0,W15,D6,L2,V2,M2} { ! class_Int_Onumber__ring( X ),
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 3.09/3.49 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ), Y ) =
% 3.09/3.49 c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 3.09/3.49 (20137) {G0,W17,D4,L2,V3,M2} { ! class_Groups_Omonoid__mult( X ),
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, c_Power_Opower__class_Opower( X, Z, Y )
% 3.09/3.49 , Z ) = c_Groups_Otimes__class_Otimes( X, Z, c_Power_Opower__class_Opower
% 3.09/3.49 ( X, Z, Y ) ) }.
% 3.09/3.49 (20138) {G0,W20,D4,L2,V4,M2} { ! class_Groups_Ocomm__monoid__mult( X ),
% 3.09/3.49 c_Power_Opower__class_Opower( X, c_Groups_Otimes__class_Otimes( X, T, Z )
% 3.09/3.49 , Y ) = c_Groups_Otimes__class_Otimes( X, c_Power_Opower__class_Opower( X
% 3.09/3.49 , T, Y ), c_Power_Opower__class_Opower( X, Z, Y ) ) }.
% 3.09/3.49 (20139) {G0,W20,D4,L2,V4,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 3.09/3.49 c_Power_Opower__class_Opower( X, c_Groups_Otimes__class_Otimes( X, T, Z )
% 3.09/3.49 , Y ) = c_Groups_Otimes__class_Otimes( X, c_Power_Opower__class_Opower( X
% 3.09/3.49 , T, Y ), c_Power_Opower__class_Opower( X, Z, Y ) ) }.
% 3.09/3.49 (20140) {G0,W43,D8,L1,V2,M1} { c_Power_Opower__class_Opower(
% 3.09/3.49 tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.49 c_Int_OPls ) ) ) ) = c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 3.09/3.49 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 3.09/3.49 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.49 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.49 c_Int_OPls ) ) ) ) ), c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 3.09/3.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.09/3.49 c_Int_OBit1( c_Int_OPls ) ) ), Y ), X ) ) }.
% 3.09/3.49 (20141) {G0,W20,D7,L1,V1,M1} { c_Groups_Oplus__class_Oplus(
% 3.09/3.49 tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.09/3.49 c_Int_OBit1( c_Int_OPls ) ) ) ), c_Rings_Oinverse__class_Odivide(
% 3.09/3.49 tc_RealDef_Oreal, X, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 3.09/3.49 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) = X }.
% 3.09/3.49 (20142) {G0,W50,D8,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.49 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ),
% 3.09/3.49 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, c_NthRoot_Osqrt(
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.09/3.49 c_Int_OBit1( c_Int_OPls ) ) ) ) ) ), ! c_Orderings_Oord__class_Oless(
% 3.09/3.49 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Z ),
% 3.09/3.49 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, c_NthRoot_Osqrt(
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.09/3.49 c_Int_OBit1( c_Int_OPls ) ) ) ) ) ), c_Orderings_Oord__class_Oless(
% 3.09/3.49 tc_RealDef_Oreal, c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus(
% 3.09/3.49 tc_RealDef_Oreal, c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.49 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Z,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.49 c_Int_OPls ) ) ) ) ) ), X ) }.
% 3.09/3.49 (20143) {G0,W24,D8,L1,V2,M1} { c_Orderings_Oord__class_Oless__eq(
% 3.09/3.49 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ),
% 3.09/3.49 c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 3.09/3.49 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.49 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.49 c_Int_OPls ) ) ) ) ) ) ) }.
% 3.09/3.49 (20144) {G0,W24,D8,L1,V2,M1} { c_Orderings_Oord__class_Oless__eq(
% 3.09/3.49 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ),
% 3.09/3.49 c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 3.09/3.49 c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.49 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.49 c_Int_OPls ) ) ) ) ) ) ) }.
% 3.09/3.49 (20145) {G0,W25,D8,L2,V2,M2} { ! c_NthRoot_Osqrt(
% 3.09/3.49 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 3.09/3.49 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.49 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.49 c_Int_OPls ) ) ) ) ) ) = Y, X = c_Groups_Ozero__class_Ozero(
% 3.09/3.49 tc_RealDef_Oreal ) }.
% 3.09/3.49 (20146) {G0,W25,D8,L2,V2,M2} { ! c_NthRoot_Osqrt(
% 3.09/3.49 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 3.09/3.49 c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.49 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.49 c_Int_OPls ) ) ) ) ) ) = Y, X = c_Groups_Ozero__class_Ozero(
% 3.09/3.49 tc_RealDef_Oreal ) }.
% 3.09/3.49 (20147) {G0,W45,D8,L2,V3,M2} { ! class_Int_Onumber__ring( X ),
% 3.09/3.49 c_Power_Opower__class_Opower( X, c_Groups_Ominus__class_Ominus( X, Z, Y )
% 3.09/3.49 , c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1
% 3.09/3.49 ( c_Int_OPls ) ) ) ) = c_Groups_Ominus__class_Ominus( X,
% 3.09/3.49 c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.49 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.49 c_Int_OPls ) ) ) ) ), c_Groups_Otimes__class_Otimes( X,
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 3.09/3.49 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ), Z ), Y ) ) }.
% 3.09/3.49 (20148) {G0,W22,D8,L1,V2,M1} { c_Orderings_Oord__class_Oless__eq(
% 3.09/3.49 tc_RealDef_Oreal, Y, c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus(
% 3.09/3.49 tc_RealDef_Oreal, c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.49 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.49 c_Int_OPls ) ) ) ) ) ) ) }.
% 3.09/3.49 (20149) {G0,W22,D8,L1,V2,M1} { c_Orderings_Oord__class_Oless__eq(
% 3.09/3.49 tc_RealDef_Oreal, Y, c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus(
% 3.09/3.49 tc_RealDef_Oreal, c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.49 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.49 c_Int_OPls ) ) ) ) ) ) ) }.
% 3.09/3.49 (20150) {G0,W67,D9,L1,V4,M1} { c_Orderings_Oord__class_Oless__eq(
% 3.09/3.49 tc_RealDef_Oreal, c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus(
% 3.09/3.49 tc_RealDef_Oreal, c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 3.09/3.49 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, T, Z ),
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.49 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 3.09/3.49 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.49 c_Int_OPls ) ) ) ) ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 3.09/3.49 c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 3.09/3.49 c_Power_Opower__class_Opower( tc_RealDef_Oreal, T,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.49 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.49 c_Int_OPls ) ) ) ) ) ), c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus(
% 3.09/3.49 tc_RealDef_Oreal, c_Power_Opower__class_Opower( tc_RealDef_Oreal, Z,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.49 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.49 c_Int_OPls ) ) ) ) ) ) ) ) }.
% 3.09/3.49 (20151) {G0,W25,D7,L1,V2,M1} { c_Orderings_Oord__class_Oless__eq(
% 3.09/3.49 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 3.09/3.49 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 3.09/3.49 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_NthRoot_Osqrt(
% 3.09/3.49 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 3.09/3.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 3.09/3.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) ), Y ),
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.09/3.49 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 3.09/3.49 (20152) {G0,W25,D7,L1,V2,M1} { c_Orderings_Oord__class_Oless__eq(
% 3.09/3.49 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 3.09/3.49 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 3.09/3.49 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_NthRoot_Osqrt(
% 3.09/3.49 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 3.09/3.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 3.09/3.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) ), Y ),
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.09/3.49 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 3.09/3.49 (20153) {G0,W4,D3,L1,V0,M1} { ! v_y____ = c_Groups_Ozero__class_Ozero(
% 3.09/3.49 tc_RealDef_Oreal ) }.
% 3.09/3.49 (20154) {G0,W9,D3,L1,V2,M1} { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y
% 3.09/3.49 , X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Y ) }.
% 3.09/3.49 (20155) {G0,W15,D4,L1,V3,M1} { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z
% 3.09/3.49 , c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) =
% 3.09/3.49 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oplus__class_Oplus
% 3.09/3.49 ( tc_Int_Oint, Z, X ) ) }.
% 3.09/3.49 (20156) {G0,W15,D4,L1,V2,M1} { c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) =
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 3.09/3.49 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 3.09/3.49 (20157) {G0,W15,D4,L1,V3,M1} { c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 3.09/3.49 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, Y ), X ) =
% 3.09/3.49 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, c_Groups_Oplus__class_Oplus
% 3.09/3.49 ( tc_Int_Oint, Y, X ) ) }.
% 3.09/3.49 (20158) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__ring__strict( X
% 3.09/3.49 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 3.09/3.49 , Y ), ! c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, Y, T ), c_Groups_Otimes__class_Otimes(
% 3.09/3.49 X, Y, Z ) ), c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 3.09/3.49 (20159) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__ring__strict( X
% 3.09/3.49 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 3.09/3.49 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 3.09/3.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Y
% 3.09/3.49 , T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 3.09/3.49 (20160) {G0,W20,D3,L4,V3,M4} { ! class_Fields_Olinordered__field( X ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 3.09/3.49 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 3.09/3.49 , Z ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 3.09/3.49 ( X ), c_Rings_Oinverse__class_Odivide( X, Y, Z ) ) }.
% 3.09/3.49 (20161) {G0,W20,D3,L4,V3,M4} { ! class_Fields_Olinordered__field( X ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 3.09/3.49 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 3.09/3.49 ) ), c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.49 c_Rings_Oinverse__class_Odivide( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 3.09/3.49 X ) ) }.
% 3.09/3.49 (20162) {G0,W30,D3,L6,V5,M6} { ! class_Fields_Olinordered__field( X ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 3.09/3.49 ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 3.09/3.49 ! c_Orderings_Oord__class_Oless( X, T, U ), c_Orderings_Oord__class_Oless
% 3.09/3.49 ( X, c_Rings_Oinverse__class_Odivide( X, Y, U ),
% 3.09/3.49 c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 3.09/3.49 (20163) {G0,W30,D3,L6,V5,M6} { ! class_Fields_Olinordered__field( X ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 3.09/3.49 ), ! c_Orderings_Oord__class_Oless( X, Y, Z ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 3.09/3.49 ! c_Orderings_Oord__class_Oless__eq( X, T, U ),
% 3.09/3.49 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Y,
% 3.09/3.49 U ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 3.09/3.49 (20164) {G0,W30,D3,L6,V5,M6} { ! class_Fields_Olinordered__field( X ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 3.09/3.49 ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 3.09/3.49 ! c_Orderings_Oord__class_Oless__eq( X, T, U ),
% 3.09/3.49 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 3.09/3.49 , Y, U ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 3.09/3.49 (20165) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__ring__strict( X
% 3.09/3.49 ), ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X
% 3.09/3.49 ) ), ! c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, Y, T ), c_Groups_Otimes__class_Otimes(
% 3.09/3.49 X, Y, Z ) ), c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 3.09/3.49 (20166) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__ring__strict( X
% 3.09/3.49 ), ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X
% 3.09/3.49 ) ), ! c_Orderings_Oord__class_Oless__eq( X, Z, T ),
% 3.09/3.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Y
% 3.09/3.49 , T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 3.09/3.49 (20167) {G0,W20,D3,L4,V3,M4} { ! class_Fields_Olinordered__field( X ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 3.09/3.49 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 3.09/3.49 , Z ), c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.49 c_Rings_Oinverse__class_Odivide( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 3.09/3.49 X ) ) }.
% 3.09/3.49 (20168) {G0,W20,D3,L4,V3,M4} { ! class_Fields_Olinordered__field( X ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 3.09/3.49 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 3.09/3.49 ) ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 3.09/3.49 X ), c_Rings_Oinverse__class_Odivide( X, Y, Z ) ) }.
% 3.09/3.49 (20169) {G0,W26,D3,L5,V4,M5} { ! class_Rings_Olinordered__semidom( X ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 3.09/3.49 ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 3.09/3.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), T ),
% 3.09/3.49 c_Orderings_Oord__class_Oless( X, c_Power_Opower__class_Opower( X, Z, T )
% 3.09/3.49 , c_Power_Opower__class_Opower( X, Y, T ) ) }.
% 3.09/3.49 (20170) {G0,W30,D3,L6,V5,M6} { ! class_Rings_Olinordered__semiring__strict
% 3.09/3.49 ( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless( X, U, T ), ! c_Orderings_Oord__class_Oless
% 3.09/3.49 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 3.09/3.49 ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z
% 3.09/3.49 , U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 3.09/3.49 (20171) {G0,W30,D3,L6,V5,M6} { ! class_Rings_Olinordered__semiring__strict
% 3.09/3.49 ( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless( X, U, T ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 3.09/3.49 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 3.09/3.49 X ), U ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes
% 3.09/3.49 ( X, Z, U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 3.09/3.49 (20172) {G0,W30,D3,L6,V5,M6} { ! class_Rings_Olinordered__semiring__strict
% 3.09/3.49 ( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 3.09/3.49 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 3.09/3.49 , U ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X
% 3.09/3.49 , Z, U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 3.09/3.49 (20173) {G0,W30,D3,L6,V5,M6} { ! class_Rings_Olinordered__semiring__strict
% 3.09/3.49 ( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless( X, U, T ), ! c_Orderings_Oord__class_Oless
% 3.09/3.49 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 3.09/3.49 ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z
% 3.09/3.49 , U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 3.09/3.49 (20174) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__semidom( X ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless( X, c_Power_Opower__class_Opower( X, Z, T )
% 3.09/3.49 , c_Power_Opower__class_Opower( X, Y, T ) ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 3.09/3.49 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 3.09/3.49 (20175) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__semiring( X ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 3.09/3.49 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 3.09/3.49 ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 3.09/3.49 (20176) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__semiring__strict
% 3.09/3.49 ( X ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes
% 3.09/3.49 ( X, T, Z ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 3.09/3.49 ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 3.09/3.49 (20177) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__semiring( X ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 3.09/3.49 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 3.09/3.49 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 3.09/3.49 (20178) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__semiring__strict
% 3.09/3.49 ( X ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes
% 3.09/3.49 ( X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 3.09/3.49 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 3.09/3.49 (20179) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__semiring__strict
% 3.09/3.49 ( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Groups_Otimes__class_Otimes(
% 3.09/3.49 X, Y, Z ) ), ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.49 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless__eq
% 3.09/3.49 ( X, T, Y ) }.
% 3.09/3.49 (20180) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__semiring__strict
% 3.09/3.49 ( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Groups_Otimes__class_Otimes(
% 3.09/3.49 X, T, Y ) ), ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.49 c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless__eq
% 3.09/3.49 ( X, Z, Y ) }.
% 3.09/3.49 (20181) {G0,W13,D2,L4,V3,M4} { ! class_Rings_Olinordered__idom( X ), Z = Y
% 3.09/3.49 , c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless
% 3.09/3.49 ( X, Y, Z ) }.
% 3.09/3.49 (20182) {G0,W5,D3,L1,V1,M1} { c_Int_Onumber__class_Onumber__of(
% 3.09/3.49 tc_Int_Oint, X ) = X }.
% 3.09/3.49 (20183) {G0,W17,D4,L2,V3,M2} { ! class_Int_Onumber__ring( X ),
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( X, c_Groups_Ominus__class_Ominus(
% 3.09/3.49 tc_Int_Oint, Z, Y ) ) = c_Groups_Ominus__class_Ominus( X,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( X, Z ),
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 3.09/3.49 (20184) {G0,W20,D3,L4,V3,M4} { ! class_Int_Onumber( X ), !
% 3.09/3.49 class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( X, Z ),
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( X, Y ) ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 3.09/3.49 ), c_Int_Onumber__class_Onumber__of( X, Z ) ) }.
% 3.09/3.49 (20185) {G0,W20,D3,L4,V3,M4} { ! class_Int_Onumber( X ), !
% 3.09/3.49 class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( X, Y ),
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( X, Z ) ),
% 3.09/3.49 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 3.09/3.49 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 3.09/3.49 (20186) {G0,W16,D3,L4,V3,M4} { ! class_Int_Onumber__ring( X ), !
% 3.09/3.49 class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( X, Z ),
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Orderings_Oord__class_Oless
% 3.09/3.49 ( tc_Int_Oint, Z, Y ) }.
% 3.09/3.49 (20187) {G0,W16,D3,L4,V3,M4} { ! class_Int_Onumber__ring( X ), !
% 3.09/3.49 class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless(
% 3.09/3.49 tc_Int_Oint, Z, Y ), c_Orderings_Oord__class_Oless( X,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( X, Z ),
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 3.09/3.49 (20188) {G0,W16,D3,L4,V3,M4} { ! class_Int_Onumber__ring( X ), !
% 3.09/3.49 class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.49 X, c_Int_Onumber__class_Onumber__of( X, Z ),
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 3.09/3.49 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z, Y ) }.
% 3.09/3.49 (20189) {G0,W16,D3,L4,V3,M4} { ! class_Int_Onumber__ring( X ), !
% 3.09/3.49 class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.49 tc_Int_Oint, Z, Y ), c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( X, Z ),
% 3.09/3.49 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 3.09/3.49 (20190) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__ring__strict( X
% 3.09/3.49 ), ! c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless( X, T, c_Groups_Ozero__class_Ozero( X ) ),
% 3.09/3.49 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Y
% 3.09/3.49 ), c_Groups_Otimes__class_Otimes( X, T, Z ) ) }.
% 3.09/3.49 (20191) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__ring__strict( X
% 3.09/3.49 ), ! c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless( X, T, c_Groups_Ozero__class_Ozero( X ) ),
% 3.09/3.49 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y, T
% 3.09/3.49 ), c_Groups_Otimes__class_Otimes( X, Z, T ) ) }.
% 3.09/3.49 (20192) {G0,W21,D3,L4,V4,M4} { !
% 3.09/3.49 class_Rings_Olinordered__comm__semiring__strict( X ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 3.09/3.49 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 3.09/3.49 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 3.09/3.49 (20193) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__semiring__strict
% 3.09/3.49 ( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 3.09/3.49 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 3.09/3.49 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 3.09/3.49 (20194) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__semiring__strict
% 3.09/3.49 ( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 3.09/3.49 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z, T
% 3.09/3.49 ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 3.09/3.49 (20195) {G0,W20,D3,L4,V3,M4} { ! class_Rings_Olinordered__ring__strict( X
% 3.09/3.49 ), ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X
% 3.09/3.49 ) ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero
% 3.09/3.49 ( X ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X
% 3.09/3.49 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 3.09/3.49 (20196) {G0,W20,D3,L4,V3,M4} { ! class_Rings_Olinordered__semiring__strict
% 3.09/3.49 ( X ), ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero
% 3.09/3.49 ( X ) ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero
% 3.09/3.49 ( X ), Z ), c_Orderings_Oord__class_Oless( X,
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, Y, Z ), c_Groups_Ozero__class_Ozero( X
% 3.09/3.49 ) ) }.
% 3.09/3.49 (20197) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__ring__strict( X
% 3.09/3.49 ), ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X
% 3.09/3.49 ) ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes(
% 3.09/3.49 X, Y, T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 3.09/3.49 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 3.09/3.49 (20198) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__ring__strict( X
% 3.09/3.49 ), ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X
% 3.09/3.49 ) ), ! c_Orderings_Oord__class_Oless( X, Z, T ),
% 3.09/3.49 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y, T
% 3.09/3.49 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 3.09/3.49 (20199) {G0,W20,D3,L4,V3,M4} { ! class_Rings_Olinordered__semiring__strict
% 3.09/3.49 ( X ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X
% 3.09/3.49 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 3.09/3.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 3.09/3.49 }.
% 3.09/3.49 (20200) {G0,W20,D3,L4,V3,M4} { ! class_Rings_Olinordered__semiring__strict
% 3.09/3.49 ( X ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X
% 3.09/3.49 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 3.09/3.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 3.09/3.49 }.
% 3.09/3.49 (20201) {G0,W20,D3,L4,V3,M4} { ! class_Rings_Olinordered__semiring__strict
% 3.09/3.49 ( X ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X
% 3.09/3.49 ), Y ), ! c_Orderings_Oord__class_Oless( X, Z,
% 3.09/3.49 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero( X
% 3.09/3.49 ) ) }.
% 3.09/3.49 (20202) {G0,W20,D3,L4,V3,M4} { ! class_Rings_Olinordered__semiring__strict
% 3.09/3.49 ( X ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X
% 3.09/3.49 ), Y ), ! c_Orderings_Oord__class_Oless( X, Z,
% 3.09/3.49 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, Y, Z ), c_Groups_Ozero__class_Ozero( X
% 3.09/3.49 ) ) }.
% 3.09/3.49 (20203) {G0,W20,D3,L4,V3,M4} { ! class_Rings_Olinordered__semiring__strict
% 3.09/3.49 ( X ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X
% 3.09/3.49 ), Y ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero
% 3.09/3.49 ( X ), Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero
% 3.09/3.49 ( X ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 3.09/3.49 (20204) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__ring__strict( X
% 3.09/3.49 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 3.09/3.49 , Y ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes
% 3.09/3.49 ( X, Y, T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 3.09/3.49 c_Orderings_Oord__class_Oless( X, T, Z ) }.
% 3.09/3.49 (20205) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__ring__strict( X
% 3.09/3.49 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 3.09/3.49 , Y ), ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 3.09/3.49 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y, T
% 3.09/3.49 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 3.09/3.49 (20206) {G0,W22,D3,L4,V4,M4} { ! class_Rings_Olinordered__ring__strict( X
% 3.09/3.49 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X
% 3.09/3.49 , T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ), alpha1( X, Y, Z, T
% 3.09/3.49 ), alpha34( X, Y, Z, T ) }.
% 3.09/3.49 (20207) {G0,W17,D3,L3,V4,M3} { ! class_Rings_Olinordered__ring__strict( X
% 3.09/3.49 ), ! alpha1( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Groups_Otimes__class_Otimes(
% 3.09/3.49 X, T, Y ) ) }.
% 3.09/3.49 (20208) {G0,W17,D3,L3,V4,M3} { ! class_Rings_Olinordered__ring__strict( X
% 3.09/3.49 ), ! alpha34( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Groups_Otimes__class_Otimes(
% 3.09/3.49 X, T, Y ) ) }.
% 3.09/3.49 (20209) {G0,W10,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T ),
% 3.09/3.49 c_Orderings_Oord__class_Oless( X, T, c_Groups_Ozero__class_Ozero( X ) )
% 3.09/3.49 }.
% 3.09/3.49 (20210) {G0,W9,D2,L2,V4,M2} { ! alpha34( X, Y, Z, T ),
% 3.09/3.49 c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 3.09/3.49 (20211) {G0,W14,D3,L3,V4,M3} { ! c_Orderings_Oord__class_Oless( X, T,
% 3.09/3.49 c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless( X, Y
% 3.09/3.49 , Z ), alpha34( X, Y, Z, T ) }.
% 3.09/3.49 (20212) {G0,W10,D3,L2,V4,M2} { ! alpha1( X, Y, Z, T ),
% 3.09/3.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T )
% 3.09/3.49 }.
% 3.09/3.49 (20213) {G0,W9,D2,L2,V4,M2} { ! alpha1( X, Y, Z, T ),
% 3.09/3.49 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 3.09/3.49 (20214) {G0,W14,D3,L3,V4,M3} { ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.49 c_Groups_Ozero__class_Ozero( X ), T ), ! c_Orderings_Oord__class_Oless( X
% 3.09/3.49 , Z, Y ), alpha1( X, Y, Z, T ) }.
% 3.09/3.49 (20215) {G0,W22,D3,L4,V4,M4} { ! class_Rings_Olinordered__ring__strict( X
% 3.09/3.49 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X
% 3.09/3.49 , T, Z ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ), alpha2( X, Y, Z, T
% 3.09/3.49 ), alpha35( X, Y, Z, T ) }.
% 3.09/3.49 (20216) {G0,W17,D3,L3,V4,M3} { ! class_Rings_Olinordered__ring__strict( X
% 3.09/3.49 ), ! alpha2( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Groups_Otimes__class_Otimes(
% 3.09/3.49 X, Y, Z ) ) }.
% 3.09/3.49 (20217) {G0,W17,D3,L3,V4,M3} { ! class_Rings_Olinordered__ring__strict( X
% 3.09/3.49 ), ! alpha35( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Groups_Otimes__class_Otimes(
% 3.09/3.49 X, Y, Z ) ) }.
% 3.09/3.49 (20218) {G0,W10,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T ),
% 3.09/3.49 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 3.09/3.49 }.
% 3.09/3.49 (20219) {G0,W9,D2,L2,V4,M2} { ! alpha35( X, Y, Z, T ),
% 3.09/3.49 c_Orderings_Oord__class_Oless( X, Y, T ) }.
% 3.09/3.49 (20220) {G0,W14,D3,L3,V4,M3} { ! c_Orderings_Oord__class_Oless( X, Z,
% 3.09/3.49 c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless( X, Y
% 3.09/3.49 , T ), alpha35( X, Y, Z, T ) }.
% 3.09/3.49 (20221) {G0,W10,D3,L2,V4,M2} { ! alpha2( X, Y, Z, T ),
% 3.09/3.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 3.09/3.49 }.
% 3.09/3.49 (20222) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ),
% 3.09/3.49 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 3.09/3.49 (20223) {G0,W14,D3,L3,V4,M3} { ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.49 c_Groups_Ozero__class_Ozero( X ), Z ), ! c_Orderings_Oord__class_Oless( X
% 3.09/3.49 , T, Y ), alpha2( X, Y, Z, T ) }.
% 3.09/3.49 (20224) {G0,W10,D3,L2,V2,M2} { ! class_Rings_Olinordered__ring( X ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y, Y
% 3.09/3.49 ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 3.09/3.49 (20225) {G0,W20,D3,L4,V3,M4} { ! class_Rings_Oordered__cancel__semiring( X
% 3.09/3.49 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 3.09/3.49 X ), Z ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 3.09/3.49 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 3.09/3.49 , c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero(
% 3.09/3.49 X ) ) }.
% 3.09/3.49 (20226) {G0,W20,D3,L4,V3,M4} { ! class_Rings_Oordered__cancel__semiring( X
% 3.09/3.49 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 3.09/3.49 c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.49 X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 3.09/3.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 3.09/3.49 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 3.09/3.49 (20227) {G0,W20,D3,L4,V3,M4} { ! class_Rings_Oordered__ring( X ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 3.09/3.49 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 3.09/3.49 X ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.49 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 3.09/3.49 ) ) }.
% 3.09/3.49 (20228) {G0,W20,D3,L4,V3,M4} { ! class_Rings_Oordered__ring( X ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 3.09/3.49 ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 3.09/3.49 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 3.09/3.49 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z,
% 3.09/3.49 Y ) ) }.
% 3.09/3.49 (20229) {G0,W30,D3,L6,V5,M6} { ! class_Rings_Oordered__semiring( X ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 3.09/3.49 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 3.09/3.49 X ), U ), c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, Z, U ), c_Groups_Otimes__class_Otimes(
% 3.09/3.49 X, Y, T ) ) }.
% 3.09/3.49 (20230) {G0,W30,D3,L6,V5,M6} { ! class_Rings_Oordered__semiring( X ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 3.09/3.49 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 3.09/3.49 X ), U ), c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, Z, U ), c_Groups_Otimes__class_Otimes(
% 3.09/3.49 X, Y, T ) ) }.
% 3.09/3.49 (20231) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Oordered__ring( X ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Ozero__class_Ozero( X )
% 3.09/3.49 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 3.09/3.49 X, T, Y ), c_Groups_Otimes__class_Otimes( X, T, Z ) ) }.
% 3.09/3.49 (20232) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Oordered__ring( X ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Ozero__class_Ozero( X )
% 3.09/3.49 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 3.09/3.49 X, Y, T ), c_Groups_Otimes__class_Otimes( X, Z, T ) ) }.
% 3.09/3.49 (20233) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Oordered__comm__semiring( X )
% 3.09/3.49 , ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 3.09/3.49 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 3.09/3.49 X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 3.09/3.49 (20234) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Oordered__semiring( X ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 3.09/3.49 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 3.09/3.49 X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 3.09/3.49 (20235) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Oordered__semiring( X ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 3.09/3.49 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 3.09/3.49 X, Z, T ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 3.09/3.49 (20236) {G0,W20,D3,L4,V3,M4} { ! class_Rings_Oordered__ring( X ), !
% 3.09/3.49 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 3.09/3.49 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 3.09/3.49 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 3.09/3.49 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 3.09/3.49 Z ) ) }.
% 3.09/3.49 (20237) {G0,W20,D3,L4,V3,M4} { ! class_Rings_Oordered__cancel__semiring( X
% 3.09/3.49 ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 3.09/3.49 c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.49 X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 3.09/3.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Y
% 3.09/3.49 , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 3.09/3.49 (20238) {G0,W20,D3,L4,V3,M4} { ! class_Rings_Oordered__cancel__semiring( X
% 3.09/3.49 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 3.09/3.49 X ), Y ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 3.09/3.49 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 3.09/3.49 , c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero(
% 3.09/3.49 X ) ) }.
% 3.09/3.49 (20239) {G0,W20,D3,L4,V3,M4} { ! class_Rings_Oordered__cancel__semiring( X
% 3.09/3.49 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 3.09/3.49 X ), Y ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 3.09/3.49 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 3.09/3.49 , c_Groups_Otimes__class_Otimes( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 3.09/3.49 X ) ) }.
% 3.09/3.49 (20240) {G0,W20,D3,L4,V3,M4} { ! class_Rings_Oordered__cancel__semiring( X
% 3.09/3.49 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 3.09/3.49 X ), Y ), ! c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.49 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless__eq
% 3.09/3.49 ( X, c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X,
% 3.09/3.49 Y, Z ) ) }.
% 3.09/3.49 (20241) {G0,W18,D3,L4,V3,M4} { ! class_Rings_Olinordered__ring__strict( X
% 3.09/3.49 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes
% 3.09/3.49 ( X, Z, Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha3( X, Y, Z ),
% 3.09/3.49 alpha36( X, Y, Z ) }.
% 3.09/3.49 (20242) {G0,W14,D3,L3,V3,M3} { ! class_Rings_Olinordered__ring__strict( X
% 3.09/3.49 ), ! alpha3( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero( X
% 3.09/3.49 ) ) }.
% 3.09/3.49 (20243) {G0,W14,D3,L3,V3,M3} { ! class_Rings_Olinordered__ring__strict( X
% 3.09/3.49 ), ! alpha36( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.49 c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero( X
% 3.09/3.49 ) ) }.
% 3.09/3.49 (20244) {G0,W9,D3,L2,V3,M2} { ! alpha36( X, Y, Z ),
% 3.09/3.49 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 3.09/3.49 ) }.
% 3.09/3.49 (20245) {G0,W9,D3,L2,V3,M2} { ! alpha36( X, Y, Z ),
% 3.09/3.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 3.09/3.49 ) }.
% 3.09/3.49 (20246) {G0,W14,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 3.09/3.49 c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.49 X, c_Groups_Ozero__class_Ozero( X ), Y ), alpha36( X, Y, Z ) }.
% 3.09/3.49 (20247) {G0,W9,D3,L2,V3,M2} { ! alpha3( X, Y, Z ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 3.09/3.50 ) }.
% 3.09/3.50 (20248) {G0,W9,D3,L2,V3,M2} { ! alpha3( X, Y, Z ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 3.09/3.50 ) }.
% 3.09/3.50 (20249) {G0,W14,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Z ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 3.09/3.50 ), alpha3( X, Y, Z ) }.
% 3.09/3.50 (20250) {G0,W18,D3,L4,V3,M4} { ! class_Rings_Olinordered__ring__strict( X
% 3.09/3.50 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 3.09/3.50 X ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ), alpha4( X, Y, Z ),
% 3.09/3.50 alpha37( X, Y, Z ) }.
% 3.09/3.50 (20251) {G0,W14,D3,L3,V3,M3} { ! class_Rings_Olinordered__ring__strict( X
% 3.09/3.50 ), ! alpha4( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 3.09/3.50 ) ) }.
% 3.09/3.50 (20252) {G0,W14,D3,L3,V3,M3} { ! class_Rings_Olinordered__ring__strict( X
% 3.09/3.50 ), ! alpha37( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 3.09/3.50 ) ) }.
% 3.09/3.50 (20253) {G0,W9,D3,L2,V3,M2} { ! alpha37( X, Y, Z ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 3.09/3.50 ) }.
% 3.09/3.50 (20254) {G0,W9,D3,L2,V3,M2} { ! alpha37( X, Y, Z ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 3.09/3.50 ) }.
% 3.09/3.50 (20255) {G0,W14,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 X, Y, c_Groups_Ozero__class_Ozero( X ) ), alpha37( X, Y, Z ) }.
% 3.09/3.50 (20256) {G0,W9,D3,L2,V3,M2} { ! alpha4( X, Y, Z ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 3.09/3.50 ) }.
% 3.09/3.50 (20257) {G0,W9,D3,L2,V3,M2} { ! alpha4( X, Y, Z ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 3.09/3.50 ) }.
% 3.09/3.50 (20258) {G0,W14,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Z ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 3.09/3.50 ), alpha4( X, Y, Z ) }.
% 3.09/3.50 (20259) {G0,W10,D3,L2,V2,M2} { ! class_Rings_Olinordered__ring( X ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, Y, Y ) ) }.
% 3.09/3.50 (20260) {G0,W18,D3,L4,V4,M4} { ! class_Rings_Olinordered__semidom( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 3.09/3.50 ! c_Orderings_Oord__class_Oless( X, T, Z ), c_Orderings_Oord__class_Oless
% 3.09/3.50 ( X, T, c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 3.09/3.50 (20261) {G0,W15,D3,L3,V2,M3} { ! class_Rings_Olinordered__idom( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Y )
% 3.09/3.50 , c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Y
% 3.09/3.50 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 3.09/3.50 (20262) {G0,W15,D3,L3,V2,M3} { ! class_Rings_Olinordered__idom( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Y )
% 3.09/3.50 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 3.09/3.50 (20263) {G0,W15,D3,L3,V3,M3} { ! class_Rings_Olinordered__semidom( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 c_Power_Opower__class_Opower( X, Y, Z ) ) }.
% 3.09/3.50 (20264) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__semidom( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 3.09/3.50 ), c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X
% 3.09/3.50 , Z, T ), c_Power_Opower__class_Opower( X, Y, T ) ) }.
% 3.09/3.50 (20265) {G0,W15,D3,L3,V3,M3} { ! class_Rings_Olinordered__semidom( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 3.09/3.50 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 3.09/3.50 ), c_Power_Opower__class_Opower( X, Y, Z ) ) }.
% 3.09/3.50 (20266) {G0,W21,D3,L4,V4,M4} { ! class_Fields_Olinordered__field( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 3.09/3.50 ( X, T, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 3.09/3.50 ( X, c_Rings_Oinverse__class_Odivide( X, Y, T ),
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 3.09/3.50 (20267) {G0,W21,D3,L4,V4,M4} { ! class_Fields_Olinordered__field( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 3.09/3.50 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 3.09/3.50 ( X, c_Rings_Oinverse__class_Odivide( X, Z, T ),
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, Y, T ) ) }.
% 3.09/3.50 (20268) {G0,W20,D3,L4,V3,M4} { ! class_Fields_Olinordered__field( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 3.09/3.50 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 3.09/3.50 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, Y, Z ) ) }.
% 3.09/3.50 (20269) {G0,W20,D3,L4,V3,M4} { ! class_Fields_Olinordered__field( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 3.09/3.50 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 3.09/3.50 , c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Y
% 3.09/3.50 , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 3.09/3.50 (20270) {G0,W20,D3,L4,V3,M4} { ! class_Fields_Olinordered__field( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 3.09/3.50 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 3.09/3.50 , c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Y
% 3.09/3.50 , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 3.09/3.50 (20271) {G0,W20,D3,L4,V3,M4} { ! class_Fields_Olinordered__field( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 3.09/3.50 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 3.09/3.50 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, Y, Z ) ) }.
% 3.09/3.50 (20272) {G0,W18,D3,L4,V3,M4} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Z,
% 3.09/3.50 Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha5( X, Y, Z ), alpha38( X, Y
% 3.09/3.50 , Z ) }.
% 3.09/3.50 (20273) {G0,W14,D3,L3,V3,M3} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), ! alpha5( X, Y, Z )
% 3.09/3.50 , c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Z
% 3.09/3.50 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 3.09/3.50 (20274) {G0,W14,D3,L3,V3,M3} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), ! alpha38( X, Y, Z )
% 3.09/3.50 , c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Z
% 3.09/3.50 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 3.09/3.50 (20275) {G0,W9,D3,L2,V3,M2} { ! alpha38( X, Y, Z ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 3.09/3.50 }.
% 3.09/3.50 (20276) {G0,W9,D3,L2,V3,M2} { ! alpha38( X, Y, Z ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 3.09/3.50 }.
% 3.09/3.50 (20277) {G0,W14,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless( X, Z,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Y ), alpha38( X, Y, Z ) }.
% 3.09/3.50 (20278) {G0,W9,D3,L2,V3,M2} { ! alpha5( X, Y, Z ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 3.09/3.50 }.
% 3.09/3.50 (20279) {G0,W9,D3,L2,V3,M2} { ! alpha5( X, Y, Z ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 3.09/3.50 }.
% 3.09/3.50 (20280) {G0,W14,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Z ), ! c_Orderings_Oord__class_Oless( X
% 3.09/3.50 , Y, c_Groups_Ozero__class_Ozero( X ) ), alpha5( X, Y, Z ) }.
% 3.09/3.50 (20281) {G0,W18,D3,L4,V3,M4} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ), alpha6( X, Y, Z ), alpha39
% 3.09/3.50 ( X, Y, Z ) }.
% 3.09/3.50 (20282) {G0,W14,D3,L3,V3,M3} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), ! alpha6( X, Y, Z )
% 3.09/3.50 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 3.09/3.50 (20283) {G0,W14,D3,L3,V3,M3} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), ! alpha39( X, Y, Z )
% 3.09/3.50 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 3.09/3.50 (20284) {G0,W9,D3,L2,V3,M2} { ! alpha39( X, Y, Z ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 3.09/3.50 }.
% 3.09/3.50 (20285) {G0,W9,D3,L2,V3,M2} { ! alpha39( X, Y, Z ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 3.09/3.50 }.
% 3.09/3.50 (20286) {G0,W14,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless( X, Z,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless( X, Y
% 3.09/3.50 , c_Groups_Ozero__class_Ozero( X ) ), alpha39( X, Y, Z ) }.
% 3.09/3.50 (20287) {G0,W9,D3,L2,V3,M2} { ! alpha6( X, Y, Z ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 3.09/3.50 }.
% 3.09/3.50 (20288) {G0,W9,D3,L2,V3,M2} { ! alpha6( X, Y, Z ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 3.09/3.50 }.
% 3.09/3.50 (20289) {G0,W14,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Z ), ! c_Orderings_Oord__class_Oless( X
% 3.09/3.50 , c_Groups_Ozero__class_Ozero( X ), Y ), alpha6( X, Y, Z ) }.
% 3.09/3.50 (20290) {G0,W21,D3,L4,V4,M4} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Ozero__class_Ozero( X )
% 3.09/3.50 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 3.09/3.50 ( X, Y, T ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 3.09/3.50 (20291) {G0,W21,D3,L4,V4,M4} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 3.09/3.50 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 3.09/3.50 ( X, Z, T ), c_Rings_Oinverse__class_Odivide( X, Y, T ) ) }.
% 3.09/3.50 (20292) {G0,W18,D3,L4,V3,M4} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 3.09/3.50 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha7( X, Y, Z ), alpha40
% 3.09/3.50 ( X, Y, Z ) }.
% 3.09/3.50 (20293) {G0,W14,D3,L3,V3,M3} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), ! alpha7( X, Y, Z )
% 3.09/3.50 , c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide(
% 3.09/3.50 X, Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 3.09/3.50 (20294) {G0,W14,D3,L3,V3,M3} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), ! alpha40( X, Y, Z )
% 3.09/3.50 , c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide(
% 3.09/3.50 X, Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 3.09/3.50 (20295) {G0,W9,D3,L2,V3,M2} { ! alpha40( X, Y, Z ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 3.09/3.50 ) }.
% 3.09/3.50 (20296) {G0,W9,D3,L2,V3,M2} { ! alpha40( X, Y, Z ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 3.09/3.50 ) }.
% 3.09/3.50 (20297) {G0,W14,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 X, c_Groups_Ozero__class_Ozero( X ), Y ), alpha40( X, Y, Z ) }.
% 3.09/3.50 (20298) {G0,W9,D3,L2,V3,M2} { ! alpha7( X, Y, Z ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 3.09/3.50 ) }.
% 3.09/3.50 (20299) {G0,W9,D3,L2,V3,M2} { ! alpha7( X, Y, Z ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 3.09/3.50 ) }.
% 3.09/3.50 (20300) {G0,W14,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Z ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 3.09/3.50 ), alpha7( X, Y, Z ) }.
% 3.09/3.50 (20301) {G0,W18,D3,L4,V3,M4} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ), alpha8( X, Y, Z ), alpha41
% 3.09/3.50 ( X, Y, Z ) }.
% 3.09/3.50 (20302) {G0,W14,D3,L3,V3,M3} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), ! alpha8( X, Y, Z )
% 3.09/3.50 , c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 3.09/3.50 , c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 3.09/3.50 (20303) {G0,W14,D3,L3,V3,M3} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), ! alpha41( X, Y, Z )
% 3.09/3.50 , c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 3.09/3.50 , c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 3.09/3.50 (20304) {G0,W9,D3,L2,V3,M2} { ! alpha41( X, Y, Z ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 3.09/3.50 ) }.
% 3.09/3.50 (20305) {G0,W9,D3,L2,V3,M2} { ! alpha41( X, Y, Z ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 3.09/3.50 ) }.
% 3.09/3.50 (20306) {G0,W14,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 X, Y, c_Groups_Ozero__class_Ozero( X ) ), alpha41( X, Y, Z ) }.
% 3.09/3.50 (20307) {G0,W9,D3,L2,V3,M2} { ! alpha8( X, Y, Z ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 3.09/3.50 ) }.
% 3.09/3.50 (20308) {G0,W9,D3,L2,V3,M2} { ! alpha8( X, Y, Z ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 3.09/3.50 ) }.
% 3.09/3.50 (20309) {G0,W14,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Z ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 3.09/3.50 ), alpha8( X, Y, Z ) }.
% 3.09/3.50 (20310) {G0,W12,D3,L2,V1,M2} { c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 3.09/3.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ), X =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 3.09/3.50 (20311) {G0,W12,D3,L2,V1,M2} { ! X = c_Groups_Ozero__class_Ozero(
% 3.09/3.50 tc_RealDef_Oreal ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 3.09/3.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) }.
% 3.09/3.50 (20312) {G0,W19,D3,L6,V3,M6} { ! class_Power_Opower( X ), !
% 3.09/3.50 class_Rings_Omult__zero( X ), ! class_Rings_Ono__zero__divisors( X ), !
% 3.09/3.50 class_Rings_Ozero__neq__one( X ), ! c_Power_Opower__class_Opower( X, Z, Y
% 3.09/3.50 ) = c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X
% 3.09/3.50 ) }.
% 3.09/3.50 (20313) {G0,W19,D3,L6,V3,M6} { ! class_Power_Opower( X ), !
% 3.09/3.50 class_Rings_Omult__zero( X ), ! class_Rings_Ono__zero__divisors( X ), !
% 3.09/3.50 class_Rings_Ozero__neq__one( X ), ! c_Power_Opower__class_Opower( X, Z, Y
% 3.09/3.50 ) = c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero
% 3.09/3.50 ( tc_Nat_Onat ) }.
% 3.09/3.50 (20314) {G0,W23,D3,L7,V3,M7} { ! class_Power_Opower( X ), !
% 3.09/3.50 class_Rings_Omult__zero( X ), ! class_Rings_Ono__zero__divisors( X ), !
% 3.09/3.50 class_Rings_Ozero__neq__one( X ), ! Z = c_Groups_Ozero__class_Ozero( X )
% 3.09/3.50 , Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 3.09/3.50 c_Power_Opower__class_Opower( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X
% 3.09/3.50 ) }.
% 3.09/3.50 (20315) {G0,W11,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 3.09/3.50 c_NthRoot_Osqrt( X ) ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }.
% 3.09/3.50 (20316) {G0,W11,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) )
% 3.09/3.50 }.
% 3.09/3.50 (20317) {G0,W11,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_RealDef_Oreal, c_NthRoot_Osqrt( X ), c_Groups_Ozero__class_Ozero(
% 3.09/3.50 tc_RealDef_Oreal ) ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X
% 3.09/3.50 , c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 3.09/3.50 (20318) {G0,W11,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_RealDef_Oreal, X, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 3.09/3.50 (20319) {G0,W10,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 3.09/3.50 c_NthRoot_Osqrt( X ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal )
% 3.09/3.50 }.
% 3.09/3.50 (20320) {G0,W11,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) )
% 3.09/3.50 }.
% 3.09/3.50 (20321) {G0,W11,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 3.09/3.50 c_NthRoot_Osqrt( X ) ), c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X )
% 3.09/3.50 }.
% 3.09/3.50 (20322) {G0,W11,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) )
% 3.09/3.50 }.
% 3.09/3.50 (20323) {G0,W11,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, c_NthRoot_Osqrt( X ), c_Groups_Ozero__class_Ozero(
% 3.09/3.50 tc_RealDef_Oreal ) ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal
% 3.09/3.50 , X, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 3.09/3.50 (20324) {G0,W11,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, X, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_NthRoot_Osqrt( X )
% 3.09/3.50 , c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 3.09/3.50 (20325) {G0,W11,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) )
% 3.09/3.50 }.
% 3.09/3.50 (20326) {G0,W14,D3,L3,V1,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 3.09/3.50 c_NthRoot_Osqrt( X ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 3.09/3.50 X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 3.09/3.50 (20327) {G0,W14,D3,L3,V4,M3} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 3.09/3.50 ( X, Z, Y ) ), alpha42( X, Y, Z, T ) }.
% 3.09/3.50 (20328) {G0,W14,D3,L3,V4,M3} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 3.09/3.50 ( X, Z, Y ) ), alpha65( X, Y, Z, T ) }.
% 3.09/3.50 (20329) {G0,W19,D3,L4,V4,M4} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), ! alpha42( X, Y, Z,
% 3.09/3.50 T ), ! alpha65( X, Y, Z, T ), c_Orderings_Oord__class_Oless__eq( X, T,
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 3.09/3.50 (20330) {G0,W15,D3,L3,V4,M3} { ! alpha65( X, Y, Z, T ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 3.09/3.50 alpha77( X, Y, Z, T ) }.
% 3.09/3.50 (20331) {G0,W10,D3,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Y ), alpha65( X, Y, Z, T ) }.
% 3.09/3.50 (20332) {G0,W10,D2,L2,V4,M2} { ! alpha77( X, Y, Z, T ), alpha65( X, Y, Z,
% 3.09/3.50 T ) }.
% 3.09/3.50 (20333) {G0,W10,D2,L2,V4,M2} { ! alpha77( X, Y, Z, T ), alpha89( X, Y, Z,
% 3.09/3.50 T ) }.
% 3.09/3.50 (20334) {G0,W9,D2,L2,V4,M2} { ! alpha77( X, Y, Z, T ), alpha9( X, Y, T )
% 3.09/3.50 }.
% 3.09/3.50 (20335) {G0,W14,D2,L3,V4,M3} { ! alpha89( X, Y, Z, T ), ! alpha9( X, Y, T
% 3.09/3.50 ), alpha77( X, Y, Z, T ) }.
% 3.09/3.50 (20336) {G0,W17,D3,L3,V4,M3} { ! alpha89( X, Y, Z, T ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Otimes__class_Otimes( X
% 3.09/3.50 , T, Y ) ) }.
% 3.09/3.50 (20337) {G0,W10,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X, Y,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) ), alpha89( X, Y, Z, T ) }.
% 3.09/3.50 (20338) {G0,W12,D3,L2,V4,M2} { ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, T, Y ) ), alpha89( X, Y, Z, T ) }.
% 3.09/3.50 (20339) {G0,W17,D3,L3,V4,M3} { ! alpha42( X, Y, Z, T ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 3.09/3.50 , Y ), Z ) }.
% 3.09/3.50 (20340) {G0,W10,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Y ), alpha42( X, Y, Z, T ) }.
% 3.09/3.50 (20341) {G0,W12,D3,L2,V4,M2} { ! c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, T, Y ), Z ), alpha42( X, Y, Z, T ) }.
% 3.09/3.50 (20342) {G0,W14,D3,L3,V3,M3} { ! alpha9( X, Y, Z ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 3.09/3.50 ) }.
% 3.09/3.50 (20343) {G0,W9,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless( X, Y,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) ), alpha9( X, Y, Z ) }.
% 3.09/3.50 (20344) {G0,W9,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) ), alpha9( X, Y, Z ) }.
% 3.09/3.50 (20345) {G0,W14,D3,L3,V4,M3} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 3.09/3.50 , T, Z ), Y ), alpha43( X, Y, Z, T ) }.
% 3.09/3.50 (20346) {G0,W14,D3,L3,V4,M3} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 3.09/3.50 , T, Z ), Y ), alpha66( X, Y, Z, T ) }.
% 3.09/3.50 (20347) {G0,W19,D3,L4,V4,M4} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), ! alpha43( X, Y, Z,
% 3.09/3.50 T ), ! alpha66( X, Y, Z, T ), c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, T, Z ), Y ) }.
% 3.09/3.50 (20348) {G0,W15,D3,L3,V4,M3} { ! alpha66( X, Y, Z, T ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 3.09/3.50 alpha78( X, Y, Z, T ) }.
% 3.09/3.50 (20349) {G0,W10,D3,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Z ), alpha66( X, Y, Z, T ) }.
% 3.09/3.50 (20350) {G0,W10,D2,L2,V4,M2} { ! alpha78( X, Y, Z, T ), alpha66( X, Y, Z,
% 3.09/3.50 T ) }.
% 3.09/3.50 (20351) {G0,W10,D2,L2,V4,M2} { ! alpha78( X, Y, Z, T ), alpha90( X, Y, Z,
% 3.09/3.50 T ) }.
% 3.09/3.50 (20352) {G0,W9,D2,L2,V4,M2} { ! alpha78( X, Y, Z, T ), alpha10( X, Y, Z )
% 3.09/3.50 }.
% 3.09/3.50 (20353) {G0,W14,D2,L3,V4,M3} { ! alpha90( X, Y, Z, T ), ! alpha10( X, Y, Z
% 3.09/3.50 ), alpha78( X, Y, Z, T ) }.
% 3.09/3.50 (20354) {G0,W17,D3,L3,V4,M3} { ! alpha90( X, Y, Z, T ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Y
% 3.09/3.50 , Z ), T ) }.
% 3.09/3.50 (20355) {G0,W10,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X, Z,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) ), alpha90( X, Y, Z, T ) }.
% 3.09/3.50 (20356) {G0,W12,D3,L2,V4,M2} { ! c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, Y, Z ), T ), alpha90( X, Y, Z, T ) }.
% 3.09/3.50 (20357) {G0,W17,D3,L3,V4,M3} { ! alpha43( X, Y, Z, T ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes( X
% 3.09/3.50 , Y, Z ) ) }.
% 3.09/3.50 (20358) {G0,W10,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Z ), alpha43( X, Y, Z, T ) }.
% 3.09/3.50 (20359) {G0,W12,D3,L2,V4,M2} { ! c_Orderings_Oord__class_Oless__eq( X, T,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, Y, Z ) ), alpha43( X, Y, Z, T ) }.
% 3.09/3.50 (20360) {G0,W14,D3,L3,V3,M3} { ! alpha10( X, Y, Z ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 3.09/3.50 ) }.
% 3.09/3.50 (20361) {G0,W9,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless( X, Z,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) ), alpha10( X, Y, Z ) }.
% 3.09/3.50 (20362) {G0,W9,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Y ), alpha10( X, Y, Z ) }.
% 3.09/3.50 (20363) {G0,W21,D3,L4,V4,M4} { ! class_Fields_Olinordered__field( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 3.09/3.50 ! c_Orderings_Oord__class_Oless__eq( X, T,
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 3.09/3.50 , Y ), Z ) }.
% 3.09/3.50 (20364) {G0,W21,D3,L4,V4,M4} { ! class_Fields_Olinordered__field( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 3.09/3.50 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 3.09/3.50 , T, Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, T,
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 3.09/3.50 (20365) {G0,W21,D3,L4,V4,M4} { ! class_Fields_Olinordered__field( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 3.09/3.50 ! c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide(
% 3.09/3.50 X, T, Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, T,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 3.09/3.50 (20366) {G0,W21,D3,L4,V4,M4} { ! class_Fields_Olinordered__field( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 3.09/3.50 ! c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes
% 3.09/3.50 ( X, Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) }.
% 3.09/3.50 (20367) {G0,W21,D3,L4,V4,M4} { ! class_Fields_Olinordered__field( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 3.09/3.50 ! c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes
% 3.09/3.50 ( X, Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) }.
% 3.09/3.50 (20368) {G0,W21,D3,L4,V4,M4} { ! class_Fields_Olinordered__field( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 3.09/3.50 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 3.09/3.50 , T, Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, T,
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 3.09/3.50 (20369) {G0,W21,D3,L4,V4,M4} { ! class_Fields_Olinordered__field( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 3.09/3.50 ! c_Orderings_Oord__class_Oless__eq( X, T,
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Otimes__class_Otimes( X
% 3.09/3.50 , T, Y ) ) }.
% 3.09/3.50 (20370) {G0,W21,D3,L4,V4,M4} { ! class_Fields_Olinordered__field( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 3.09/3.50 ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Otimes__class_Otimes
% 3.09/3.50 ( X, T, Y ) ), c_Orderings_Oord__class_Oless__eq( X, T,
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 3.09/3.50 (20371) {G0,W21,D3,L4,V4,M4} { ! class_Fields_Olinordered__field( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 3.09/3.50 ! c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide(
% 3.09/3.50 X, T, Y ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, Z, Y ), T ) }.
% 3.09/3.50 (20372) {G0,W21,D3,L4,V4,M4} { ! class_Fields_Olinordered__field( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 3.09/3.50 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 3.09/3.50 , Z, Y ), T ), c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) }.
% 3.09/3.50 (20373) {G0,W29,D3,L5,V4,M5} { ! class_Fields_Olinordered__field( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 3.09/3.50 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 3.09/3.50 , c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 3.09/3.50 , T, Y ), c_Rings_Oinverse__class_Odivide( X, T, Z ) ) }.
% 3.09/3.50 (20374) {G0,W29,D3,L5,V4,M5} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Ozero__class_Ozero( X )
% 3.09/3.50 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 3.09/3.50 , c_Groups_Otimes__class_Otimes( X, Z, Y ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 3.09/3.50 , T, Z ), c_Rings_Oinverse__class_Odivide( X, T, Y ) ) }.
% 3.09/3.50 (20375) {G0,W15,D3,L4,V2,M4} { ! class_Int_Onumber__ring( X ), !
% 3.09/3.50 class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 3.09/3.50 ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ) }.
% 3.09/3.50 (20376) {G0,W15,D3,L4,V2,M4} { ! class_Int_Onumber__ring( X ), !
% 3.09/3.50 class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Int_Oint, Y, c_Int_OPls ), c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 3.09/3.50 ) ) }.
% 3.09/3.50 (20377) {G0,W15,D3,L4,V2,M4} { ! class_Int_Onumber__ring( X ), !
% 3.09/3.50 class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 3.09/3.50 ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, Y ) }.
% 3.09/3.50 (20378) {G0,W15,D3,L4,V2,M4} { ! class_Int_Onumber__ring( X ), !
% 3.09/3.50 class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Int_Oint, c_Int_OPls, Y ), c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 3.09/3.50 ) ) }.
% 3.09/3.50 (20379) {G0,W15,D3,L4,V2,M4} { ! class_Int_Onumber__ring( X ), !
% 3.09/3.50 class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 X, c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero
% 3.09/3.50 ( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls )
% 3.09/3.50 }.
% 3.09/3.50 (20380) {G0,W15,D3,L4,V2,M4} { ! class_Int_Onumber__ring( X ), !
% 3.09/3.50 class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Int_Oint, Y, c_Int_OPls ), c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 3.09/3.50 ) ) }.
% 3.09/3.50 (20381) {G0,W15,D3,L4,V2,M4} { ! class_Int_Onumber__ring( X ), !
% 3.09/3.50 class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 X, c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X
% 3.09/3.50 , Y ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, Y )
% 3.09/3.50 }.
% 3.09/3.50 (20382) {G0,W15,D3,L4,V2,M4} { ! class_Int_Onumber__ring( X ), !
% 3.09/3.50 class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Int_Oint, c_Int_OPls, Y ), c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 3.09/3.50 ) ) }.
% 3.09/3.50 (20383) {G0,W18,D4,L3,V4,M3} { ! class_Rings_Olinordered__idom( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Oabs__class_Oabs( X,
% 3.09/3.50 c_Groups_Ominus__class_Ominus( X, T, Z ) ), Y ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ominus__class_Ominus( X, Z, Y
% 3.09/3.50 ), T ) }.
% 3.09/3.50 (20384) {G0,W18,D4,L3,V4,M3} { ! class_Rings_Olinordered__idom( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Oabs__class_Oabs( X,
% 3.09/3.50 c_Groups_Ominus__class_Ominus( X, T, Z ) ), Y ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y
% 3.09/3.50 ) ) }.
% 3.09/3.50 (20385) {G0,W25,D4,L4,V4,M4} { ! class_Rings_Olinordered__idom( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ominus__class_Ominus( X, Z, Y
% 3.09/3.50 ), T ), ! c_Orderings_Oord__class_Oless( X, T,
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, Z, Y ) ), c_Orderings_Oord__class_Oless(
% 3.09/3.50 X, c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, T, Z )
% 3.09/3.50 ), Y ) }.
% 3.09/3.50 (20386) {G0,W18,D4,L4,V4,M4} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 3.09/3.50 ( X ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 3.09/3.50 X, Y ) ) ), alpha44( X, Y, Z, T ) }.
% 3.09/3.50 (20387) {G0,W18,D4,L4,V4,M4} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 3.09/3.50 ( X ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 3.09/3.50 X, Y ) ) ), alpha67( X, Y, Z, T ) }.
% 3.09/3.50 (20388) {G0,W23,D4,L5,V4,M5} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 3.09/3.50 ( X ), ! alpha44( X, Y, Z, T ), ! alpha67( X, Y, Z, T ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 3.09/3.50 ( X, Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 3.09/3.50 (20389) {G0,W17,D3,L3,V4,M3} { ! alpha67( X, Y, Z, T ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha79( X, Y, Z, T ) }.
% 3.09/3.50 (20390) {G0,W12,D3,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 3.09/3.50 ) ), alpha67( X, Y, Z, T ) }.
% 3.09/3.50 (20391) {G0,W10,D2,L2,V4,M2} { ! alpha79( X, Y, Z, T ), alpha67( X, Y, Z,
% 3.09/3.50 T ) }.
% 3.09/3.50 (20392) {G0,W10,D2,L2,V4,M2} { ! alpha79( X, Y, Z, T ), alpha91( X, Y, Z,
% 3.09/3.50 T ) }.
% 3.09/3.50 (20393) {G0,W9,D2,L2,V4,M2} { ! alpha79( X, Y, Z, T ), alpha11( X, Y, T )
% 3.09/3.50 }.
% 3.09/3.50 (20394) {G0,W14,D2,L3,V4,M3} { ! alpha91( X, Y, Z, T ), ! alpha11( X, Y, T
% 3.09/3.50 ), alpha79( X, Y, Z, T ) }.
% 3.09/3.50 (20395) {G0,W21,D4,L3,V4,M3} { ! alpha91( X, Y, Z, T ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 3.09/3.50 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq
% 3.09/3.50 ( X, Z, c_Groups_Otimes__class_Otimes( X, T,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 3.09/3.50 (20396) {G0,W12,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 3.09/3.50 ) ), alpha91( X, Y, Z, T ) }.
% 3.09/3.50 (20397) {G0,W14,D4,L2,V4,M2} { ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, T, c_Int_Onumber__class_Onumber__of( X
% 3.09/3.50 , Y ) ) ), alpha91( X, Y, Z, T ) }.
% 3.09/3.50 (20398) {G0,W21,D4,L3,V4,M3} { ! alpha44( X, Y, Z, T ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 3.09/3.50 , c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ) }.
% 3.09/3.50 (20399) {G0,W12,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 3.09/3.50 ) ), alpha44( X, Y, Z, T ) }.
% 3.09/3.50 (20400) {G0,W14,D4,L2,V4,M2} { ! c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, T, c_Int_Onumber__class_Onumber__of( X
% 3.09/3.50 , Y ) ), Z ), alpha44( X, Y, Z, T ) }.
% 3.09/3.50 (20401) {G0,W16,D3,L3,V3,M3} { ! alpha11( X, Y, Z ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 3.09/3.50 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq
% 3.09/3.50 ( X, Z, c_Groups_Ozero__class_Ozero( X ) ) }.
% 3.09/3.50 (20402) {G0,W11,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 3.09/3.50 ) ), alpha11( X, Y, Z ) }.
% 3.09/3.50 (20403) {G0,W9,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) ), alpha11( X, Y, Z ) }.
% 3.09/3.50 (20404) {G0,W18,D3,L4,V4,M4} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 3.09/3.50 ( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 3.09/3.50 ( X, Z, Y ) ), alpha45( X, Y, Z, T ) }.
% 3.09/3.50 (20405) {G0,W18,D3,L4,V4,M4} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 3.09/3.50 ( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 3.09/3.50 ( X, Z, Y ) ), alpha68( X, Y, Z, T ) }.
% 3.09/3.50 (20406) {G0,W23,D3,L5,V4,M5} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 3.09/3.50 ( X ), ! alpha45( X, Y, Z, T ), ! alpha68( X, Y, Z, T ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 3.09/3.50 , T ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 3.09/3.50 (20407) {G0,W15,D3,L3,V4,M3} { ! alpha68( X, Y, Z, T ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 3.09/3.50 alpha80( X, Y, Z, T ) }.
% 3.09/3.50 (20408) {G0,W10,D3,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Y ), alpha68( X, Y, Z, T ) }.
% 3.09/3.50 (20409) {G0,W10,D2,L2,V4,M2} { ! alpha80( X, Y, Z, T ), alpha68( X, Y, Z,
% 3.09/3.50 T ) }.
% 3.09/3.50 (20410) {G0,W10,D2,L2,V4,M2} { ! alpha80( X, Y, Z, T ), alpha92( X, Y, Z,
% 3.09/3.50 T ) }.
% 3.09/3.50 (20411) {G0,W9,D2,L2,V4,M2} { ! alpha80( X, Y, Z, T ), alpha12( X, Y, T )
% 3.09/3.50 }.
% 3.09/3.50 (20412) {G0,W14,D2,L3,V4,M3} { ! alpha92( X, Y, Z, T ), ! alpha12( X, Y, T
% 3.09/3.50 ), alpha80( X, Y, Z, T ) }.
% 3.09/3.50 (20413) {G0,W19,D4,L3,V4,M3} { ! alpha92( X, Y, Z, T ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Otimes__class_Otimes( X
% 3.09/3.50 , c_Int_Onumber__class_Onumber__of( X, T ), Y ) ) }.
% 3.09/3.50 (20414) {G0,W10,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X, Y,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) ), alpha92( X, Y, Z, T ) }.
% 3.09/3.50 (20415) {G0,W14,D4,L2,V4,M2} { ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 3.09/3.50 ), Y ) ), alpha92( X, Y, Z, T ) }.
% 3.09/3.50 (20416) {G0,W19,D4,L3,V4,M3} { ! alpha45( X, Y, Z, T ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, T ), Y ), Z ) }.
% 3.09/3.50 (20417) {G0,W10,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Y ), alpha45( X, Y, Z, T ) }.
% 3.09/3.50 (20418) {G0,W14,D4,L2,V4,M2} { ! c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 3.09/3.50 ), Y ), Z ), alpha45( X, Y, Z, T ) }.
% 3.09/3.50 (20419) {G0,W16,D3,L3,V3,M3} { ! alpha12( X, Y, Z ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 3.09/3.50 , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 3.09/3.50 (20420) {G0,W9,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless( X, Y,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) ), alpha12( X, Y, Z ) }.
% 3.09/3.50 (20421) {G0,W11,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 3.09/3.50 ) ), alpha12( X, Y, Z ) }.
% 3.09/3.50 (20422) {G0,W18,D3,L4,V4,M4} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 3.09/3.50 ( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha46( X, Y, Z, T ) }.
% 3.09/3.50 (20423) {G0,W18,D3,L4,V4,M4} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 3.09/3.50 ( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha69( X, Y, Z, T ) }.
% 3.09/3.50 (20424) {G0,W23,D3,L5,V4,M5} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 3.09/3.50 ( X ), ! alpha46( X, Y, Z, T ), ! alpha69( X, Y, Z, T ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 3.09/3.50 , T, Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 3.09/3.50 (20425) {G0,W15,D3,L3,V4,M3} { ! alpha69( X, Y, Z, T ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 3.09/3.50 alpha81( X, Y, Z, T ) }.
% 3.09/3.50 (20426) {G0,W10,D3,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Z ), alpha69( X, Y, Z, T ) }.
% 3.09/3.50 (20427) {G0,W10,D2,L2,V4,M2} { ! alpha81( X, Y, Z, T ), alpha69( X, Y, Z,
% 3.09/3.50 T ) }.
% 3.09/3.50 (20428) {G0,W10,D2,L2,V4,M2} { ! alpha81( X, Y, Z, T ), alpha93( X, Y, Z,
% 3.09/3.50 T ) }.
% 3.09/3.50 (20429) {G0,W9,D2,L2,V4,M2} { ! alpha81( X, Y, Z, T ), alpha13( X, Y, Z )
% 3.09/3.50 }.
% 3.09/3.50 (20430) {G0,W14,D2,L3,V4,M3} { ! alpha93( X, Y, Z, T ), ! alpha13( X, Y, Z
% 3.09/3.50 ), alpha81( X, Y, Z, T ) }.
% 3.09/3.50 (20431) {G0,W19,D4,L3,V4,M3} { ! alpha93( X, Y, Z, T ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Y ), Z ), T ) }.
% 3.09/3.50 (20432) {G0,W10,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X, Z,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) ), alpha93( X, Y, Z, T ) }.
% 3.09/3.50 (20433) {G0,W14,D4,L2,V4,M2} { ! c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Y
% 3.09/3.50 ), Z ), T ), alpha93( X, Y, Z, T ) }.
% 3.09/3.50 (20434) {G0,W19,D4,L3,V4,M3} { ! alpha46( X, Y, Z, T ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes( X
% 3.09/3.50 , c_Int_Onumber__class_Onumber__of( X, Y ), Z ) ) }.
% 3.09/3.50 (20435) {G0,W10,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Z ), alpha46( X, Y, Z, T ) }.
% 3.09/3.50 (20436) {G0,W14,D4,L2,V4,M2} { ! c_Orderings_Oord__class_Oless__eq( X, T,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Y
% 3.09/3.50 ), Z ) ), alpha46( X, Y, Z, T ) }.
% 3.09/3.50 (20437) {G0,W16,D3,L3,V3,M3} { ! alpha13( X, Y, Z ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 3.09/3.50 (20438) {G0,W9,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless( X, Z,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) ), alpha13( X, Y, Z ) }.
% 3.09/3.50 (20439) {G0,W11,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 3.09/3.50 ) ), alpha13( X, Y, Z ) }.
% 3.09/3.50 (20440) {G0,W18,D4,L4,V4,M4} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 3.09/3.50 ( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 3.09/3.50 X, Z ) ), Y ), alpha47( X, Y, Z, T ) }.
% 3.09/3.50 (20441) {G0,W18,D4,L4,V4,M4} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 3.09/3.50 ( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 3.09/3.50 X, Z ) ), Y ), alpha70( X, Y, Z, T ) }.
% 3.09/3.50 (20442) {G0,W23,D4,L5,V4,M5} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 3.09/3.50 ( X ), ! alpha47( X, Y, Z, T ), ! alpha70( X, Y, Z, T ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 3.09/3.50 , T, c_Int_Onumber__class_Onumber__of( X, Z ) ), Y ) }.
% 3.09/3.50 (20443) {G0,W17,D3,L3,V4,M3} { ! alpha70( X, Y, Z, T ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha82( X, Y, Z, T ) }.
% 3.09/3.50 (20444) {G0,W12,D3,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 3.09/3.50 ) ), alpha70( X, Y, Z, T ) }.
% 3.09/3.50 (20445) {G0,W10,D2,L2,V4,M2} { ! alpha82( X, Y, Z, T ), alpha70( X, Y, Z,
% 3.09/3.50 T ) }.
% 3.09/3.50 (20446) {G0,W10,D2,L2,V4,M2} { ! alpha82( X, Y, Z, T ), alpha94( X, Y, Z,
% 3.09/3.50 T ) }.
% 3.09/3.50 (20447) {G0,W9,D2,L2,V4,M2} { ! alpha82( X, Y, Z, T ), alpha14( X, Y, Z )
% 3.09/3.50 }.
% 3.09/3.50 (20448) {G0,W14,D2,L3,V4,M3} { ! alpha94( X, Y, Z, T ), ! alpha14( X, Y, Z
% 3.09/3.50 ), alpha82( X, Y, Z, T ) }.
% 3.09/3.50 (20449) {G0,W21,D4,L3,V4,M3} { ! alpha94( X, Y, Z, T ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 3.09/3.50 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq
% 3.09/3.50 ( X, c_Groups_Otimes__class_Otimes( X, Y,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Z ) ), T ) }.
% 3.09/3.50 (20450) {G0,W12,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 3.09/3.50 ) ), alpha94( X, Y, Z, T ) }.
% 3.09/3.50 (20451) {G0,W14,D4,L2,V4,M2} { ! c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, Y, c_Int_Onumber__class_Onumber__of( X
% 3.09/3.50 , Z ) ), T ), alpha94( X, Y, Z, T ) }.
% 3.09/3.50 (20452) {G0,W21,D4,L3,V4,M3} { ! alpha47( X, Y, Z, T ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Z ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes( X
% 3.09/3.50 , Y, c_Int_Onumber__class_Onumber__of( X, Z ) ) ) }.
% 3.09/3.50 (20453) {G0,W12,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 3.09/3.50 ) ), alpha47( X, Y, Z, T ) }.
% 3.09/3.50 (20454) {G0,W14,D4,L2,V4,M2} { ! c_Orderings_Oord__class_Oless__eq( X, T,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, Y, c_Int_Onumber__class_Onumber__of( X
% 3.09/3.50 , Z ) ) ), alpha47( X, Y, Z, T ) }.
% 3.09/3.50 (20455) {G0,W16,D3,L3,V3,M3} { ! alpha14( X, Y, Z ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 3.09/3.50 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq
% 3.09/3.50 ( X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 3.09/3.50 (20456) {G0,W11,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 3.09/3.50 ) ), alpha14( X, Y, Z ) }.
% 3.09/3.50 (20457) {G0,W9,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Y ), alpha14( X, Y, Z ) }.
% 3.09/3.50 (20458) {G0,W31,D5,L3,V6,M3} { ! class_Rings_Oordered__ring( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 3.09/3.50 , Y ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X
% 3.09/3.50 , c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, W,
% 3.09/3.50 Z ), U ), T ), Y ) }.
% 3.09/3.50 (20459) {G0,W31,D5,L3,V6,M3} { ! class_Rings_Oordered__ring( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, W, Z
% 3.09/3.50 ), U ), T ), Y ), c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U )
% 3.09/3.50 , T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 3.09/3.50 Z, U ), Y ) ) }.
% 3.09/3.50 (20460) {G0,W31,D5,L3,V6,M3} { ! class_Rings_Oordered__ring( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 3.09/3.50 , Y ) ), c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus
% 3.09/3.50 ( X, c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X,
% 3.09/3.50 Z, W ), U ), Y ) ) }.
% 3.09/3.50 (20461) {G0,W31,D5,L3,V6,M3} { ! class_Rings_Oordered__ring( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, Z, W
% 3.09/3.50 ), U ), Y ) ), c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U )
% 3.09/3.50 , T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 3.09/3.50 Z, U ), Y ) ) }.
% 3.09/3.50 (20462) {G0,W31,D5,L3,V6,M3} { ! class_Rings_Oordered__ring( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 3.09/3.50 , Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 3.09/3.50 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ) }.
% 3.09/3.50 (20463) {G0,W31,D5,L3,V6,M3} { ! class_Rings_Oordered__ring( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, W, Z
% 3.09/3.50 ), U ), T ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U )
% 3.09/3.50 , T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 3.09/3.50 Z, U ), Y ) ) }.
% 3.09/3.50 (20464) {G0,W31,D5,L3,V6,M3} { ! class_Rings_Oordered__ring( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 3.09/3.50 , Y ) ), c_Orderings_Oord__class_Oless__eq( X, T,
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 3.09/3.50 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ) }.
% 3.09/3.50 (20465) {G0,W31,D5,L3,V6,M3} { ! class_Rings_Oordered__ring( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oplus__class_Oplus( X,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, Z, W
% 3.09/3.50 ), U ), Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U )
% 3.09/3.50 , T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 3.09/3.50 Z, U ), Y ) ) }.
% 3.09/3.50 (20466) {G0,W24,D5,L3,V4,M3} { ! class_Fields_Ofield( X ), Y =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ominus__class_Ominus( X, T,
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, Y, T ), Z ), Y ) }.
% 3.09/3.50 (20467) {G0,W24,D5,L3,V4,M3} { ! class_Fields_Ofield( X ), Y =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ominus__class_Ominus( X,
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) =
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X, T,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, Y, Z ) ), Y ) }.
% 3.09/3.50 (20468) {G0,W37,D5,L4,V5,M4} { ! class_Fields_Ofield( X ), Y =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 c_Groups_Ominus__class_Ominus( X, c_Rings_Oinverse__class_Odivide( X, U,
% 3.09/3.50 Y ), c_Rings_Oinverse__class_Odivide( X, T, Z ) ) =
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 3.09/3.50 X, T, Y ) ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 3.09/3.50 (20469) {G0,W24,D4,L4,V3,M4} { ! class_Rings_Olinordered__ring__strict( X
% 3.09/3.50 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 3.09/3.50 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z
% 3.09/3.50 ), c_Groups_Otimes__class_Otimes( X, Y, Y ) ) ), ! Z =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 3.09/3.50 }.
% 3.09/3.50 (20470) {G0,W20,D4,L3,V3,M3} { ! class_Rings_Olinordered__ring__strict( X
% 3.09/3.50 ), Z = c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless(
% 3.09/3.50 X, c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 3.09/3.50 X, Y, Y ) ) ) }.
% 3.09/3.50 (20471) {G0,W20,D4,L3,V3,M3} { ! class_Rings_Olinordered__ring__strict( X
% 3.09/3.50 ), Y = c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless(
% 3.09/3.50 X, c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 3.09/3.50 X, Y, Y ) ) ) }.
% 3.09/3.50 (20472) {G0,W16,D4,L2,V3,M2} { ! class_Rings_Olinordered__ring( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 3.09/3.50 X, Y, Y ) ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 3.09/3.50 (20473) {G0,W20,D4,L3,V3,M3} { ! class_Rings_Olinordered__ring__strict( X
% 3.09/3.50 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus(
% 3.09/3.50 X, c_Groups_Otimes__class_Otimes( X, Z, Z ),
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, Y, Y ) ), c_Groups_Ozero__class_Ozero(
% 3.09/3.50 X ) ), Z = c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.50 (20474) {G0,W20,D4,L3,V3,M3} { ! class_Rings_Olinordered__ring__strict( X
% 3.09/3.50 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus(
% 3.09/3.50 X, c_Groups_Otimes__class_Otimes( X, Z, Z ),
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, Y, Y ) ), c_Groups_Ozero__class_Ozero(
% 3.09/3.50 X ) ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.50 (20475) {G0,W24,D4,L4,V3,M4} { ! class_Rings_Olinordered__ring__strict( X
% 3.09/3.50 ), ! Z = c_Groups_Ozero__class_Ozero( X ), ! Y =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z )
% 3.09/3.50 , c_Groups_Otimes__class_Otimes( X, Y, Y ) ), c_Groups_Ozero__class_Ozero
% 3.09/3.50 ( X ) ) }.
% 3.09/3.50 (20476) {G0,W16,D4,L2,V3,M2} { ! class_Rings_Olinordered__ring( X ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z )
% 3.09/3.50 , c_Groups_Otimes__class_Otimes( X, Y, Y ) ) ) }.
% 3.09/3.50 (20477) {G0,W14,D3,L3,V4,M3} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 3.09/3.50 Z, Y ) ), alpha48( X, Y, Z, T ) }.
% 3.09/3.50 (20478) {G0,W14,D3,L3,V4,M3} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 3.09/3.50 Z, Y ) ), alpha71( X, Y, Z, T ) }.
% 3.09/3.50 (20479) {G0,W19,D3,L4,V4,M4} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), ! alpha48( X, Y, Z,
% 3.09/3.50 T ), ! alpha71( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T,
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 3.09/3.50 (20480) {G0,W15,D3,L3,V4,M3} { ! alpha71( X, Y, Z, T ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 3.09/3.50 alpha83( X, Y, Z, T ) }.
% 3.09/3.50 (20481) {G0,W10,D3,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Y ), alpha71( X, Y, Z, T ) }.
% 3.09/3.50 (20482) {G0,W10,D2,L2,V4,M2} { ! alpha83( X, Y, Z, T ), alpha71( X, Y, Z,
% 3.09/3.50 T ) }.
% 3.09/3.50 (20483) {G0,W10,D2,L2,V4,M2} { ! alpha83( X, Y, Z, T ), alpha95( X, Y, Z,
% 3.09/3.50 T ) }.
% 3.09/3.50 (20484) {G0,W9,D2,L2,V4,M2} { ! alpha83( X, Y, Z, T ), alpha15( X, Y, T )
% 3.09/3.50 }.
% 3.09/3.50 (20485) {G0,W14,D2,L3,V4,M3} { ! alpha95( X, Y, Z, T ), ! alpha15( X, Y, T
% 3.09/3.50 ), alpha83( X, Y, Z, T ) }.
% 3.09/3.50 (20486) {G0,W17,D3,L3,V4,M3} { ! alpha95( X, Y, Z, T ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X, T
% 3.09/3.50 , Y ) ) }.
% 3.09/3.50 (20487) {G0,W10,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X, Y,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) ), alpha95( X, Y, Z, T ) }.
% 3.09/3.50 (20488) {G0,W12,D3,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X, Z,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, T, Y ) ), alpha95( X, Y, Z, T ) }.
% 3.09/3.50 (20489) {G0,W17,D3,L3,V4,M3} { ! alpha48( X, Y, Z, T ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Y
% 3.09/3.50 ), Z ) }.
% 3.09/3.50 (20490) {G0,W10,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Y ), alpha48( X, Y, Z, T ) }.
% 3.09/3.50 (20491) {G0,W12,D3,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, T, Y ), Z ), alpha48( X, Y, Z, T ) }.
% 3.09/3.50 (20492) {G0,W14,D3,L3,V3,M3} { ! alpha15( X, Y, Z ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 3.09/3.50 }.
% 3.09/3.50 (20493) {G0,W9,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless( X, Y,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) ), alpha15( X, Y, Z ) }.
% 3.09/3.50 (20494) {G0,W9,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless( X, Z,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) ), alpha15( X, Y, Z ) }.
% 3.09/3.50 (20495) {G0,W14,D3,L3,V4,M3} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 3.09/3.50 Z ), Y ), alpha49( X, Y, Z, T ) }.
% 3.09/3.50 (20496) {G0,W14,D3,L3,V4,M3} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 3.09/3.50 Z ), Y ), alpha72( X, Y, Z, T ) }.
% 3.09/3.50 (20497) {G0,W19,D3,L4,V4,M4} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), ! alpha49( X, Y, Z,
% 3.09/3.50 T ), ! alpha72( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, T, Z ), Y ) }.
% 3.09/3.50 (20498) {G0,W15,D3,L3,V4,M3} { ! alpha72( X, Y, Z, T ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 3.09/3.50 alpha84( X, Y, Z, T ) }.
% 3.09/3.50 (20499) {G0,W10,D3,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Z ), alpha72( X, Y, Z, T ) }.
% 3.09/3.50 (20500) {G0,W10,D2,L2,V4,M2} { ! alpha84( X, Y, Z, T ), alpha72( X, Y, Z,
% 3.09/3.50 T ) }.
% 3.09/3.50 (20501) {G0,W10,D2,L2,V4,M2} { ! alpha84( X, Y, Z, T ), alpha96( X, Y, Z,
% 3.09/3.50 T ) }.
% 3.09/3.50 (20502) {G0,W9,D2,L2,V4,M2} { ! alpha84( X, Y, Z, T ), alpha16( X, Y, Z )
% 3.09/3.50 }.
% 3.09/3.50 (20503) {G0,W14,D2,L3,V4,M3} { ! alpha96( X, Y, Z, T ), ! alpha16( X, Y, Z
% 3.09/3.50 ), alpha84( X, Y, Z, T ) }.
% 3.09/3.50 (20504) {G0,W17,D3,L3,V4,M3} { ! alpha96( X, Y, Z, T ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y, Z
% 3.09/3.50 ), T ) }.
% 3.09/3.50 (20505) {G0,W10,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X, Z,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) ), alpha96( X, Y, Z, T ) }.
% 3.09/3.50 (20506) {G0,W12,D3,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, Y, Z ), T ), alpha96( X, Y, Z, T ) }.
% 3.09/3.50 (20507) {G0,W17,D3,L3,V4,M3} { ! alpha49( X, Y, Z, T ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X, Y
% 3.09/3.50 , Z ) ) }.
% 3.09/3.50 (20508) {G0,W10,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Z ), alpha49( X, Y, Z, T ) }.
% 3.09/3.50 (20509) {G0,W12,D3,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X, T,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, Y, Z ) ), alpha49( X, Y, Z, T ) }.
% 3.09/3.50 (20510) {G0,W14,D3,L3,V3,M3} { ! alpha16( X, Y, Z ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 3.09/3.50 }.
% 3.09/3.50 (20511) {G0,W9,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless( X, Z,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) ), alpha16( X, Y, Z ) }.
% 3.09/3.50 (20512) {G0,W9,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Y ), alpha16( X, Y, Z ) }.
% 3.09/3.50 (20513) {G0,W21,D3,L4,V4,M4} { ! class_Fields_Olinordered__field( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 3.09/3.50 ! c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X
% 3.09/3.50 , Z, Y ) ), c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, T, Y ), Z ) }.
% 3.09/3.50 (20514) {G0,W21,D3,L4,V4,M4} { ! class_Fields_Olinordered__field( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 3.09/3.50 ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T,
% 3.09/3.50 Y ), Z ), c_Orderings_Oord__class_Oless( X, T,
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 3.09/3.50 (20515) {G0,W21,D3,L4,V4,M4} { ! class_Fields_Olinordered__field( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 3.09/3.50 ! c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T
% 3.09/3.50 , Y ), Z ), c_Orderings_Oord__class_Oless( X, T,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 3.09/3.50 (20516) {G0,W21,D3,L4,V4,M4} { ! class_Fields_Olinordered__field( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 3.09/3.50 ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X,
% 3.09/3.50 Z, Y ) ), c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) }.
% 3.09/3.50 (20517) {G0,W21,D3,L4,V4,M4} { ! class_Fields_Olinordered__field( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 3.09/3.50 ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X,
% 3.09/3.50 Z, Y ) ), c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) }.
% 3.09/3.50 (20518) {G0,W21,D3,L4,V4,M4} { ! class_Fields_Olinordered__field( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 3.09/3.50 ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T,
% 3.09/3.50 Y ), Z ), c_Orderings_Oord__class_Oless( X, T,
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 3.09/3.50 (20519) {G0,W21,D3,L4,V4,M4} { ! class_Fields_Olinordered__field( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 3.09/3.50 ! c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X
% 3.09/3.50 , Z, Y ) ), c_Orderings_Oord__class_Oless( X, Z,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 3.09/3.50 (20520) {G0,W21,D3,L4,V4,M4} { ! class_Fields_Olinordered__field( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 3.09/3.50 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X,
% 3.09/3.50 T, Y ) ), c_Orderings_Oord__class_Oless( X, T,
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 3.09/3.50 (20521) {G0,W21,D3,L4,V4,M4} { ! class_Fields_Olinordered__field( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 3.09/3.50 ! c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T
% 3.09/3.50 , Y ), Z ), c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, Z, Y ), T ) }.
% 3.09/3.50 (20522) {G0,W21,D3,L4,V4,M4} { ! class_Fields_Olinordered__field( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 3.09/3.50 ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z,
% 3.09/3.50 Y ), T ), c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) }.
% 3.09/3.50 (20523) {G0,W29,D3,L5,V4,M5} { ! class_Fields_Olinordered__field( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 3.09/3.50 ( X, c_Groups_Ozero__class_Ozero( X ), T ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, Y, Z ) ), c_Orderings_Oord__class_Oless
% 3.09/3.50 ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ),
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, T, Z ) ) }.
% 3.09/3.50 (20524) {G0,W29,D3,L5,V4,M5} { ! class_Fields_Olinordered__field( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 3.09/3.50 ( X, T, c_Groups_Ozero__class_Ozero( X ) ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), c_Orderings_Oord__class_Oless
% 3.09/3.50 ( X, c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, T, Y ) ) }.
% 3.09/3.50 (20525) {G0,W20,D4,L3,V3,M3} { ! class_Rings_Olinordered__idom( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 3.09/3.50 ), c_Groups_Otimes__class_Otimes( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 3.09/3.50 Y ) = c_Groups_Oabs__class_Oabs( X, c_Groups_Otimes__class_Otimes( X, Z,
% 3.09/3.50 Y ) ) }.
% 3.09/3.50 (20526) {G0,W25,D4,L4,V3,M4} { ! class_Rings_Oordered__ring__abs( X ),
% 3.09/3.50 alpha101( X, Z ), ! c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Y ), c_Groups_Oabs__class_Oabs( X,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 3.09/3.50 c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 3.09/3.50 (20527) {G0,W25,D4,L4,V3,M4} { ! class_Rings_Oordered__ring__abs( X ),
% 3.09/3.50 alpha101( X, Z ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) ), c_Groups_Oabs__class_Oabs( X,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 3.09/3.50 c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 3.09/3.50 (20528) {G0,W8,D3,L2,V2,M2} { ! alpha101( X, Y ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 3.09/3.50 ) }.
% 3.09/3.50 (20529) {G0,W8,D3,L2,V2,M2} { ! alpha101( X, Y ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 3.09/3.50 ) }.
% 3.09/3.50 (20530) {G0,W13,D3,L3,V2,M3} { c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless__eq
% 3.09/3.50 ( X, Y, c_Groups_Ozero__class_Ozero( X ) ), alpha101( X, Y ) }.
% 3.09/3.50 (20531) {G0,W12,D4,L2,V3,M2} { ! class_Rings_Olinordered__idom( X ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 c_Power_Opower__class_Opower( X, c_Groups_Oabs__class_Oabs( X, Z ), Y ) )
% 3.09/3.50 }.
% 3.09/3.50 (20532) {G0,W20,D4,L3,V3,M3} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oabs__class_Oabs( X, Z ), Y
% 3.09/3.50 ) = c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Odivide( X, Z
% 3.09/3.50 , Y ) ) }.
% 3.09/3.50 (20533) {G0,W23,D4,L2,V5,M2} { ! class_Groups_Oab__group__add( X ),
% 3.09/3.50 c_Groups_Ominus__class_Ominus( X, c_Groups_Oplus__class_Oplus( X, U, T )
% 3.09/3.50 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 3.09/3.50 ( X, c_Groups_Ominus__class_Ominus( X, U, Z ),
% 3.09/3.50 c_Groups_Ominus__class_Ominus( X, T, Y ) ) }.
% 3.09/3.50 (20534) {G0,W20,D4,L2,V4,M2} { ! class_Rings_Odivision__ring( X ),
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X, T,
% 3.09/3.50 Z ), Y ) = c_Groups_Ominus__class_Ominus( X,
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, T, Y ),
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 3.09/3.50 (20535) {G0,W6,D3,L1,V1,M1} { c_Groups_Ominus__class_Ominus( tc_Int_Oint,
% 3.09/3.50 X, c_Int_OPls ) = X }.
% 3.09/3.50 (20536) {G0,W12,D4,L1,V2,M1} { c_Groups_Ominus__class_Ominus( tc_Int_Oint
% 3.09/3.50 , c_Int_OBit0( Y ), c_Int_OBit0( X ) ) = c_Int_OBit0(
% 3.09/3.50 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ) ) }.
% 3.09/3.50 (20537) {G0,W18,D4,L1,V3,M1} { c_Groups_Otimes__class_Otimes( tc_Int_Oint
% 3.09/3.50 , c_Groups_Ominus__class_Ominus( tc_Int_Oint, Z, Y ), X ) =
% 3.09/3.50 c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Groups_Otimes__class_Otimes
% 3.09/3.50 ( tc_Int_Oint, Z, X ), c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X )
% 3.09/3.50 ) }.
% 3.09/3.50 (20538) {G0,W18,D4,L1,V3,M1} { c_Groups_Otimes__class_Otimes( tc_Int_Oint
% 3.09/3.50 , Z, c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ) ) =
% 3.09/3.50 c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Groups_Otimes__class_Otimes
% 3.09/3.50 ( tc_Int_Oint, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X )
% 3.09/3.50 ) }.
% 3.09/3.50 (20539) {G0,W10,D4,L2,V2,M2} { ! class_Rings_Omult__zero( X ),
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, c_Groups_Ozero__class_Ozero( X ), Y ) =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.50 (20540) {G0,W10,D4,L2,V2,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, c_Groups_Ozero__class_Ozero( X ), Y ) =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.50 (20541) {G0,W10,D4,L2,V2,M2} { ! class_Rings_Omult__zero( X ),
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, Y, c_Groups_Ozero__class_Ozero( X ) ) =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.50 (20542) {G0,W10,D4,L2,V2,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, Y, c_Groups_Ozero__class_Ozero( X ) ) =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.50 (20543) {G0,W17,D3,L4,V3,M4} { ! class_Rings_Oring__no__zero__divisors( X
% 3.09/3.50 ), ! c_Groups_Otimes__class_Otimes( X, Z, Y ) =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ), Y
% 3.09/3.50 = c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.50 (20544) {G0,W13,D3,L3,V3,M3} { ! class_Rings_Oring__no__zero__divisors( X
% 3.09/3.50 ), ! Z = c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes
% 3.09/3.50 ( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.50 (20545) {G0,W13,D3,L3,V3,M3} { ! class_Rings_Oring__no__zero__divisors( X
% 3.09/3.50 ), ! Y = c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes
% 3.09/3.50 ( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.50 (20546) {G0,W17,D3,L4,V3,M4} { ! class_Rings_Ono__zero__divisors( X ), Y =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 ! c_Groups_Otimes__class_Otimes( X, Y, Z ) = c_Groups_Ozero__class_Ozero
% 3.09/3.50 ( X ) }.
% 3.09/3.50 (20547) {G0,W17,D3,L4,V3,M4} { ! class_Rings_Ono__zero__divisors( X ), !
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X
% 3.09/3.50 ), Z = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero
% 3.09/3.50 ( X ) }.
% 3.09/3.50 (20548) {G0,W9,D4,L2,V2,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, c_Groups_Ozero__class_Ozero( X ), Y ) = Y
% 3.09/3.50 }.
% 3.09/3.50 (20549) {G0,W9,D4,L2,V2,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, Y, c_Groups_Ozero__class_Ozero( X ) ) = Y
% 3.09/3.50 }.
% 3.09/3.50 (20550) {G0,W12,D3,L3,V3,M3} { !
% 3.09/3.50 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct( X
% 3.09/3.50 ), ! Z = c_Groups_Oplus__class_Oplus( X, Z, Y ), Y =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.50 (20551) {G0,W12,D3,L3,V3,M3} { !
% 3.09/3.50 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct( X
% 3.09/3.50 ), ! Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, Z, Y ) }.
% 3.09/3.50 (20552) {G0,W13,D3,L3,V2,M3} { ! class_Groups_Olinordered__ab__group__add
% 3.09/3.50 ( X ), ! c_Groups_Oplus__class_Oplus( X, Y, Y ) =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 3.09/3.50 }.
% 3.09/3.50 (20553) {G0,W13,D3,L3,V2,M3} { ! class_Groups_Olinordered__ab__group__add
% 3.09/3.50 ( X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, Y, Y ) = c_Groups_Ozero__class_Ozero( X )
% 3.09/3.50 }.
% 3.09/3.50 (20554) {G0,W13,D3,L3,V3,M3} { ! class_Rings_Oring__1__no__zero__divisors
% 3.09/3.50 ( X ), Y = c_Groups_Ozero__class_Ozero( X ), !
% 3.09/3.50 c_Power_Opower__class_Opower( X, Y, Z ) = c_Groups_Ozero__class_Ozero( X
% 3.09/3.50 ) }.
% 3.09/3.50 (20555) {G0,W10,D4,L2,V2,M2} { ! class_Rings_Odivision__ring( X ),
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 3.09/3.50 = c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.50 (20556) {G0,W10,D4,L2,V2,M2} { !
% 3.09/3.50 class_Rings_Odivision__ring__inverse__zero( X ),
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 3.09/3.50 = c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.50 (20557) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_RealDef_Oreal, Y, X ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal
% 3.09/3.50 , c_NthRoot_Osqrt( Y ), c_NthRoot_Osqrt( X ) ) }.
% 3.09/3.50 (20558) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_RealDef_Oreal, c_NthRoot_Osqrt( Y ), c_NthRoot_Osqrt( X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ) }.
% 3.09/3.50 (20559) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_RealDef_Oreal, Y, X ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal
% 3.09/3.50 , c_NthRoot_Osqrt( Y ), c_NthRoot_Osqrt( X ) ) }.
% 3.09/3.50 (20560) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, Y, X ), c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, c_NthRoot_Osqrt( Y ), c_NthRoot_Osqrt( X ) ) }.
% 3.09/3.50 (20561) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, c_NthRoot_Osqrt( Y ), c_NthRoot_Osqrt( X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 3.09/3.50 (20562) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, Y, X ), c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, c_NthRoot_Osqrt( Y ), c_NthRoot_Osqrt( X ) ) }.
% 3.09/3.50 (20563) {G0,W9,D3,L2,V1,M2} { ! c_NthRoot_Osqrt( X ) =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 3.09/3.50 (20564) {G0,W9,D3,L2,V1,M2} { ! X = c_Groups_Ozero__class_Ozero(
% 3.09/3.50 tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) = c_Groups_Ozero__class_Ozero(
% 3.09/3.50 tc_RealDef_Oreal ) }.
% 3.09/3.50 (20565) {G0,W6,D4,L1,V0,M1} { c_NthRoot_Osqrt( c_Groups_Ozero__class_Ozero
% 3.09/3.50 ( tc_RealDef_Oreal ) ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal )
% 3.09/3.50 }.
% 3.09/3.50 (20566) {G0,W18,D4,L4,V4,M4} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 3.09/3.50 ( X ), ! c_Orderings_Oord__class_Oless( X, T,
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 3.09/3.50 X, Y ) ) ), alpha50( X, Y, Z, T ) }.
% 3.09/3.50 (20567) {G0,W18,D4,L4,V4,M4} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 3.09/3.50 ( X ), ! c_Orderings_Oord__class_Oless( X, T,
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 3.09/3.50 X, Y ) ) ), alpha73( X, Y, Z, T ) }.
% 3.09/3.50 (20568) {G0,W23,D4,L5,V4,M5} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 3.09/3.50 ( X ), ! alpha50( X, Y, Z, T ), ! alpha73( X, Y, Z, T ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 3.09/3.50 Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 3.09/3.50 (20569) {G0,W17,D3,L3,V4,M3} { ! alpha73( X, Y, Z, T ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha85( X, Y, Z, T ) }.
% 3.09/3.50 (20570) {G0,W12,D3,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 3.09/3.50 ) ), alpha73( X, Y, Z, T ) }.
% 3.09/3.50 (20571) {G0,W10,D2,L2,V4,M2} { ! alpha85( X, Y, Z, T ), alpha73( X, Y, Z,
% 3.09/3.50 T ) }.
% 3.09/3.50 (20572) {G0,W10,D2,L2,V4,M2} { ! alpha85( X, Y, Z, T ), alpha97( X, Y, Z,
% 3.09/3.50 T ) }.
% 3.09/3.50 (20573) {G0,W9,D2,L2,V4,M2} { ! alpha85( X, Y, Z, T ), alpha17( X, Y, T )
% 3.09/3.50 }.
% 3.09/3.50 (20574) {G0,W14,D2,L3,V4,M3} { ! alpha97( X, Y, Z, T ), ! alpha17( X, Y, T
% 3.09/3.50 ), alpha85( X, Y, Z, T ) }.
% 3.09/3.50 (20575) {G0,W21,D4,L3,V4,M3} { ! alpha97( X, Y, Z, T ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 3.09/3.50 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 3.09/3.50 , Z, c_Groups_Otimes__class_Otimes( X, T,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 3.09/3.50 (20576) {G0,W12,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 3.09/3.50 ) ), alpha97( X, Y, Z, T ) }.
% 3.09/3.50 (20577) {G0,W14,D4,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X, Z,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, T, c_Int_Onumber__class_Onumber__of( X
% 3.09/3.50 , Y ) ) ), alpha97( X, Y, Z, T ) }.
% 3.09/3.50 (20578) {G0,W21,D4,L3,V4,M3} { ! alpha50( X, Y, Z, T ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Orderings_Oord__class_Oless
% 3.09/3.50 ( X, c_Groups_Otimes__class_Otimes( X, T,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ) }.
% 3.09/3.50 (20579) {G0,W12,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 3.09/3.50 ) ), alpha50( X, Y, Z, T ) }.
% 3.09/3.50 (20580) {G0,W14,D4,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, T, c_Int_Onumber__class_Onumber__of( X
% 3.09/3.50 , Y ) ), Z ), alpha50( X, Y, Z, T ) }.
% 3.09/3.50 (20581) {G0,W16,D3,L3,V3,M3} { ! alpha17( X, Y, Z ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 3.09/3.50 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 3.09/3.50 , Z, c_Groups_Ozero__class_Ozero( X ) ) }.
% 3.09/3.50 (20582) {G0,W11,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 3.09/3.50 ) ), alpha17( X, Y, Z ) }.
% 3.09/3.50 (20583) {G0,W9,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless( X, Z,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) ), alpha17( X, Y, Z ) }.
% 3.09/3.50 (20584) {G0,W18,D3,L4,V4,M4} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 3.09/3.50 ( X ), ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 3.09/3.50 ( X, Z, Y ) ), alpha51( X, Y, Z, T ) }.
% 3.09/3.50 (20585) {G0,W18,D3,L4,V4,M4} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 3.09/3.50 ( X ), ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 3.09/3.50 ( X, Z, Y ) ), alpha74( X, Y, Z, T ) }.
% 3.09/3.50 (20586) {G0,W23,D3,L5,V4,M5} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 3.09/3.50 ( X ), ! alpha51( X, Y, Z, T ), ! alpha74( X, Y, Z, T ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, T
% 3.09/3.50 ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 3.09/3.50 (20587) {G0,W15,D3,L3,V4,M3} { ! alpha74( X, Y, Z, T ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 3.09/3.50 alpha86( X, Y, Z, T ) }.
% 3.09/3.50 (20588) {G0,W10,D3,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Y ), alpha74( X, Y, Z, T ) }.
% 3.09/3.50 (20589) {G0,W10,D2,L2,V4,M2} { ! alpha86( X, Y, Z, T ), alpha74( X, Y, Z,
% 3.09/3.50 T ) }.
% 3.09/3.50 (20590) {G0,W10,D2,L2,V4,M2} { ! alpha86( X, Y, Z, T ), alpha98( X, Y, Z,
% 3.09/3.50 T ) }.
% 3.09/3.50 (20591) {G0,W9,D2,L2,V4,M2} { ! alpha86( X, Y, Z, T ), alpha18( X, Y, T )
% 3.09/3.50 }.
% 3.09/3.50 (20592) {G0,W14,D2,L3,V4,M3} { ! alpha98( X, Y, Z, T ), ! alpha18( X, Y, T
% 3.09/3.50 ), alpha86( X, Y, Z, T ) }.
% 3.09/3.50 (20593) {G0,W19,D4,L3,V4,M3} { ! alpha98( X, Y, Z, T ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, T ), Y ) ) }.
% 3.09/3.50 (20594) {G0,W10,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X, Y,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) ), alpha98( X, Y, Z, T ) }.
% 3.09/3.50 (20595) {G0,W14,D4,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X, Z,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 3.09/3.50 ), Y ) ), alpha98( X, Y, Z, T ) }.
% 3.09/3.50 (20596) {G0,W19,D4,L3,V4,M3} { ! alpha51( X, Y, Z, T ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, T ), Y ), Z ) }.
% 3.09/3.50 (20597) {G0,W10,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Y ), alpha51( X, Y, Z, T ) }.
% 3.09/3.50 (20598) {G0,W14,D4,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 3.09/3.50 ), Y ), Z ), alpha51( X, Y, Z, T ) }.
% 3.09/3.50 (20599) {G0,W16,D3,L3,V3,M3} { ! alpha18( X, Y, Z ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 3.09/3.50 ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 3.09/3.50 (20600) {G0,W9,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless( X, Y,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) ), alpha18( X, Y, Z ) }.
% 3.09/3.50 (20601) {G0,W11,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 3.09/3.50 ) ), alpha18( X, Y, Z ) }.
% 3.09/3.50 (20602) {G0,W18,D3,L4,V4,M4} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 3.09/3.50 ( X ), ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha52( X, Y, Z, T ) }.
% 3.09/3.50 (20603) {G0,W18,D3,L4,V4,M4} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 3.09/3.50 ( X ), ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha75( X, Y, Z, T ) }.
% 3.09/3.50 (20604) {G0,W23,D3,L5,V4,M5} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 3.09/3.50 ( X ), ! alpha52( X, Y, Z, T ), ! alpha75( X, Y, Z, T ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 3.09/3.50 Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 3.09/3.50 (20605) {G0,W15,D3,L3,V4,M3} { ! alpha75( X, Y, Z, T ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 3.09/3.50 alpha87( X, Y, Z, T ) }.
% 3.09/3.50 (20606) {G0,W10,D3,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Z ), alpha75( X, Y, Z, T ) }.
% 3.09/3.50 (20607) {G0,W10,D2,L2,V4,M2} { ! alpha87( X, Y, Z, T ), alpha75( X, Y, Z,
% 3.09/3.50 T ) }.
% 3.09/3.50 (20608) {G0,W10,D2,L2,V4,M2} { ! alpha87( X, Y, Z, T ), alpha99( X, Y, Z,
% 3.09/3.50 T ) }.
% 3.09/3.50 (20609) {G0,W9,D2,L2,V4,M2} { ! alpha87( X, Y, Z, T ), alpha19( X, Y, Z )
% 3.09/3.50 }.
% 3.09/3.50 (20610) {G0,W14,D2,L3,V4,M3} { ! alpha99( X, Y, Z, T ), ! alpha19( X, Y, Z
% 3.09/3.50 ), alpha87( X, Y, Z, T ) }.
% 3.09/3.50 (20611) {G0,W19,D4,L3,V4,M3} { ! alpha99( X, Y, Z, T ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Y ), Z ), T ) }.
% 3.09/3.50 (20612) {G0,W10,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X, Z,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) ), alpha99( X, Y, Z, T ) }.
% 3.09/3.50 (20613) {G0,W14,D4,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Y
% 3.09/3.50 ), Z ), T ), alpha99( X, Y, Z, T ) }.
% 3.09/3.50 (20614) {G0,W19,D4,L3,V4,M3} { ! alpha52( X, Y, Z, T ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Y ), Z ) ) }.
% 3.09/3.50 (20615) {G0,W10,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Z ), alpha52( X, Y, Z, T ) }.
% 3.09/3.50 (20616) {G0,W14,D4,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X, T,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Y
% 3.09/3.50 ), Z ) ), alpha52( X, Y, Z, T ) }.
% 3.09/3.50 (20617) {G0,W16,D3,L3,V3,M3} { ! alpha19( X, Y, Z ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 3.09/3.50 (20618) {G0,W9,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless( X, Z,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) ), alpha19( X, Y, Z ) }.
% 3.09/3.50 (20619) {G0,W11,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 3.09/3.50 ) ), alpha19( X, Y, Z ) }.
% 3.09/3.50 (20620) {G0,W18,D4,L4,V4,M4} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 3.09/3.50 ( X ), ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 3.09/3.50 X, Z ) ), Y ), alpha53( X, Y, Z, T ) }.
% 3.09/3.50 (20621) {G0,W18,D4,L4,V4,M4} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 3.09/3.50 ( X ), ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 3.09/3.50 X, Z ) ), Y ), alpha76( X, Y, Z, T ) }.
% 3.09/3.50 (20622) {G0,W23,D4,L5,V4,M5} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 3.09/3.50 ( X ), ! alpha53( X, Y, Z, T ), ! alpha76( X, Y, Z, T ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Z ) ), Y ) }.
% 3.09/3.50 (20623) {G0,W17,D3,L3,V4,M3} { ! alpha76( X, Y, Z, T ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha88( X, Y, Z, T ) }.
% 3.09/3.50 (20624) {G0,W12,D3,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 3.09/3.50 ) ), alpha76( X, Y, Z, T ) }.
% 3.09/3.50 (20625) {G0,W10,D2,L2,V4,M2} { ! alpha88( X, Y, Z, T ), alpha76( X, Y, Z,
% 3.09/3.50 T ) }.
% 3.09/3.50 (20626) {G0,W10,D2,L2,V4,M2} { ! alpha88( X, Y, Z, T ), alpha100( X, Y, Z
% 3.09/3.50 , T ) }.
% 3.09/3.50 (20627) {G0,W9,D2,L2,V4,M2} { ! alpha88( X, Y, Z, T ), alpha20( X, Y, Z )
% 3.09/3.50 }.
% 3.09/3.50 (20628) {G0,W14,D2,L3,V4,M3} { ! alpha100( X, Y, Z, T ), ! alpha20( X, Y,
% 3.09/3.50 Z ), alpha88( X, Y, Z, T ) }.
% 3.09/3.50 (20629) {G0,W21,D4,L3,V4,M3} { ! alpha100( X, Y, Z, T ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 3.09/3.50 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 3.09/3.50 , c_Groups_Otimes__class_Otimes( X, Y, c_Int_Onumber__class_Onumber__of(
% 3.09/3.50 X, Z ) ), T ) }.
% 3.09/3.50 (20630) {G0,W12,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 3.09/3.50 ) ), alpha100( X, Y, Z, T ) }.
% 3.09/3.50 (20631) {G0,W14,D4,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, Y, c_Int_Onumber__class_Onumber__of( X
% 3.09/3.50 , Z ) ), T ), alpha100( X, Y, Z, T ) }.
% 3.09/3.50 (20632) {G0,W21,D4,L3,V4,M3} { ! alpha53( X, Y, Z, T ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Z ) ), c_Orderings_Oord__class_Oless
% 3.09/3.50 ( X, T, c_Groups_Otimes__class_Otimes( X, Y,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Z ) ) ) }.
% 3.09/3.50 (20633) {G0,W12,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 3.09/3.50 ) ), alpha53( X, Y, Z, T ) }.
% 3.09/3.50 (20634) {G0,W14,D4,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X, T,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, Y, c_Int_Onumber__class_Onumber__of( X
% 3.09/3.50 , Z ) ) ), alpha53( X, Y, Z, T ) }.
% 3.09/3.50 (20635) {G0,W16,D3,L3,V3,M3} { ! alpha20( X, Y, Z ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 3.09/3.50 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 3.09/3.50 , c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 3.09/3.50 (20636) {G0,W11,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 3.09/3.50 ) ), alpha20( X, Y, Z ) }.
% 3.09/3.50 (20637) {G0,W9,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Y ), alpha20( X, Y, Z ) }.
% 3.09/3.50 (20638) {G0,W29,D6,L4,V3,M4} { ! class_Rings_Olinordered__semidom( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Power_Opower__class_Opower( X, Z,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.50 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.50 c_Int_OPls ) ) ) ) ), ! c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 Z, Y ) }.
% 3.09/3.50 (20639) {G0,W15,D5,L1,V2,M1} { c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 3.09/3.50 c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 3.09/3.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) ) ) }.
% 3.09/3.50 (20640) {G0,W29,D5,L3,V6,M3} { ! class_Rings_Oring( X ), !
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U )
% 3.09/3.50 , T ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 3.09/3.50 , Z, U ), Y ), c_Groups_Oplus__class_Oplus( X,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, W, Z
% 3.09/3.50 ), U ), T ) = Y }.
% 3.09/3.50 (20641) {G0,W29,D5,L3,V6,M3} { ! class_Rings_Oring( X ), !
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 3.09/3.50 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ) = Y,
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U )
% 3.09/3.50 , T ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 3.09/3.50 , Z, U ), Y ) }.
% 3.09/3.50 (20642) {G0,W29,D5,L3,V6,M3} { ! class_Rings_Oring( X ), !
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U )
% 3.09/3.50 , T ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 3.09/3.50 , Z, U ), Y ), T = c_Groups_Oplus__class_Oplus( X,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, Z, W
% 3.09/3.50 ), U ), Y ) }.
% 3.09/3.50 (20643) {G0,W29,D5,L3,V6,M3} { ! class_Rings_Oring( X ), ! T =
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 3.09/3.50 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ),
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U )
% 3.09/3.50 , T ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 3.09/3.50 , Z, U ), Y ) }.
% 3.09/3.50 (20644) {G0,W28,D5,L3,V4,M3} { ! class_Int_Onumber( X ), !
% 3.09/3.50 class_Rings_Oring( X ), c_Groups_Otimes__class_Otimes( X,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Ominus__class_Ominus(
% 3.09/3.50 X, Z, Y ) ) = c_Groups_Ominus__class_Ominus( X,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 3.09/3.50 ), Z ), c_Groups_Otimes__class_Otimes( X,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, T ), Y ) ) }.
% 3.09/3.50 (20645) {G0,W28,D5,L3,V4,M3} { ! class_Int_Onumber( X ), !
% 3.09/3.50 class_Rings_Oring( X ), c_Groups_Otimes__class_Otimes( X,
% 3.09/3.50 c_Groups_Ominus__class_Ominus( X, T, Z ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 3.09/3.50 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, T,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Groups_Otimes__class_Otimes
% 3.09/3.50 ( X, Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 3.09/3.50 (20646) {G0,W23,D5,L2,V4,M2} { ! class_Int_Onumber__ring( X ),
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X, T )
% 3.09/3.50 , c_Groups_Ominus__class_Ominus( X, c_Int_Onumber__class_Onumber__of( X,
% 3.09/3.50 Z ), Y ) ) = c_Groups_Ominus__class_Ominus( X,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 3.09/3.50 tc_Int_Oint, T, Z ) ), Y ) }.
% 3.09/3.50 (20647) {G0,W12,D4,L1,V2,M1} { c_Groups_Ominus__class_Ominus( tc_Int_Oint
% 3.09/3.50 , c_Int_OBit1( Y ), c_Int_OBit1( X ) ) = c_Int_OBit0(
% 3.09/3.50 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ) ) }.
% 3.09/3.50 (20648) {G0,W12,D4,L1,V2,M1} { c_Groups_Ominus__class_Ominus( tc_Int_Oint
% 3.09/3.50 , c_Int_OBit1( Y ), c_Int_OBit0( X ) ) = c_Int_OBit1(
% 3.09/3.50 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ) ) }.
% 3.09/3.50 (20649) {G0,W11,D4,L1,V1,M1} { c_Groups_Ominus__class_Ominus( tc_Int_Oint
% 3.09/3.50 , c_Int_OPls, c_Int_OBit0( X ) ) = c_Int_OBit0(
% 3.09/3.50 c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OPls, X ) ) }.
% 3.09/3.50 (20650) {G0,W28,D4,L4,V5,M4} { ! class_Rings_Olinordered__idom( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Oabs__class_Oabs( X, Z ), Y )
% 3.09/3.50 , ! c_Orderings_Oord__class_Oless( X, c_Groups_Oabs__class_Oabs( X, U ),
% 3.09/3.50 T ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X,
% 3.09/3.50 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, U ) ),
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 3.09/3.50 (20651) {G0,W45,D7,L1,V3,M1} { c_Groups_Ominus__class_Ominus(
% 3.09/3.50 tc_RealDef_Oreal, hAPP( Z, Y ), c_Groups_Otimes__class_Otimes(
% 3.09/3.50 tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 3.09/3.50 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ), hAPP( Z, Y
% 3.09/3.50 ) ), c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y ) ), Y ) ) =
% 3.09/3.50 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ),
% 3.09/3.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 3.09/3.50 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ), hAPP( Z, Y
% 3.09/3.50 ) ), c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y ) ), X ) )
% 3.09/3.50 }.
% 3.09/3.50 (20652) {G0,W19,D4,L3,V3,M3} { ! class_Rings_Olinordered__ring__strict( X
% 3.09/3.50 ), ! c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z
% 3.09/3.50 , Z ), c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X )
% 3.09/3.50 }.
% 3.09/3.50 (20653) {G0,W19,D4,L3,V3,M3} { ! class_Rings_Olinordered__ring__strict( X
% 3.09/3.50 ), ! c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z
% 3.09/3.50 , Z ), c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 3.09/3.50 }.
% 3.09/3.50 (20654) {G0,W23,D4,L4,V3,M4} { ! class_Rings_Olinordered__ring__strict( X
% 3.09/3.50 ), ! Z = c_Groups_Ozero__class_Ozero( X ), ! Y =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 3.09/3.50 X, Y, Y ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.50 (20655) {G0,W27,D4,L5,V6,M5} { !
% 3.09/3.50 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct( X
% 3.09/3.50 ), Y = c_Groups_Ozero__class_Ozero( X ), ! W = U, T = Z, !
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, W, c_Groups_Otimes__class_Otimes( X, Y, T
% 3.09/3.50 ) ) = c_Groups_Oplus__class_Oplus( X, U, c_Groups_Otimes__class_Otimes(
% 3.09/3.50 X, Y, Z ) ) }.
% 3.09/3.50 (20656) {G0,W8,D3,L2,V1,M2} { ! class_Int_Onumber__ring( X ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ) =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.50 (20657) {G0,W8,D3,L2,V1,M2} { ! class_Int_Onumber__ring( X ),
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) = c_Int_Onumber__class_Onumber__of( X,
% 3.09/3.50 c_Int_OPls ) }.
% 3.09/3.50 (20658) {G0,W13,D3,L3,V4,M3} { ! class_Fields_Ofield__inverse__zero( X ),
% 3.09/3.50 ! T = c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha54( X, Y, Z, T )
% 3.09/3.50 }.
% 3.09/3.50 (20659) {G0,W12,D3,L3,V4,M3} { ! class_Fields_Ofield__inverse__zero( X ),
% 3.09/3.50 ! T = c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha21( X, Y, T ) }.
% 3.09/3.50 (20660) {G0,W17,D3,L4,V4,M4} { ! class_Fields_Ofield__inverse__zero( X ),
% 3.09/3.50 ! alpha54( X, Y, Z, T ), ! alpha21( X, Y, T ), T =
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 3.09/3.50 (20661) {G0,W15,D3,L3,V4,M3} { ! alpha54( X, Y, Z, T ), Y =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, T, Y
% 3.09/3.50 ) = Z }.
% 3.09/3.50 (20662) {G0,W9,D3,L2,V4,M2} { ! Y = c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 alpha54( X, Y, Z, T ) }.
% 3.09/3.50 (20663) {G0,W11,D3,L2,V4,M2} { ! c_Groups_Otimes__class_Otimes( X, T, Y )
% 3.09/3.50 = Z, alpha54( X, Y, Z, T ) }.
% 3.09/3.50 (20664) {G0,W12,D3,L3,V3,M3} { ! alpha21( X, Y, Z ), ! Y =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X )
% 3.09/3.50 }.
% 3.09/3.50 (20665) {G0,W8,D3,L2,V3,M2} { Y = c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 alpha21( X, Y, Z ) }.
% 3.09/3.50 (20666) {G0,W8,D3,L2,V3,M2} { ! Z = c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 alpha21( X, Y, Z ) }.
% 3.09/3.50 (20667) {G0,W13,D3,L3,V4,M3} { ! class_Fields_Ofield__inverse__zero( X ),
% 3.09/3.50 ! c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y, alpha55( X, Y, Z, T )
% 3.09/3.50 }.
% 3.09/3.50 (20668) {G0,W12,D3,L3,V4,M3} { ! class_Fields_Ofield__inverse__zero( X ),
% 3.09/3.50 ! c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y, alpha22( X, Y, Z ) }.
% 3.09/3.50 (20669) {G0,W17,D3,L4,V4,M4} { ! class_Fields_Ofield__inverse__zero( X ),
% 3.09/3.50 ! alpha55( X, Y, Z, T ), ! alpha22( X, Y, Z ),
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y }.
% 3.09/3.50 (20670) {G0,W15,D3,L3,V4,M3} { ! alpha55( X, Y, Z, T ), Z =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), T = c_Groups_Otimes__class_Otimes( X, Y
% 3.09/3.50 , Z ) }.
% 3.09/3.50 (20671) {G0,W9,D3,L2,V4,M2} { ! Z = c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 alpha55( X, Y, Z, T ) }.
% 3.09/3.50 (20672) {G0,W11,D3,L2,V4,M2} { ! T = c_Groups_Otimes__class_Otimes( X, Y,
% 3.09/3.50 Z ), alpha55( X, Y, Z, T ) }.
% 3.09/3.50 (20673) {G0,W12,D3,L3,V3,M3} { ! alpha22( X, Y, Z ), ! Z =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 3.09/3.50 }.
% 3.09/3.50 (20674) {G0,W8,D3,L2,V3,M2} { Z = c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 alpha22( X, Y, Z ) }.
% 3.09/3.50 (20675) {G0,W8,D3,L2,V3,M2} { ! Y = c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 alpha22( X, Y, Z ) }.
% 3.09/3.50 (20676) {G0,W18,D3,L4,V4,M4} { ! class_Rings_Odivision__ring( X ), Y =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), ! T = c_Rings_Oinverse__class_Odivide(
% 3.09/3.50 X, Z, Y ), c_Groups_Otimes__class_Otimes( X, T, Y ) = Z }.
% 3.09/3.50 (20677) {G0,W18,D3,L4,V4,M4} { ! class_Rings_Odivision__ring( X ), Y =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), ! c_Groups_Otimes__class_Otimes( X, T,
% 3.09/3.50 Y ) = Z, T = c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 3.09/3.50 (20678) {G0,W18,D3,L4,V4,M4} { ! class_Rings_Odivision__ring( X ), Y =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), ! c_Rings_Oinverse__class_Odivide( X, T
% 3.09/3.50 , Y ) = Z, T = c_Groups_Otimes__class_Otimes( X, Z, Y ) }.
% 3.09/3.50 (20679) {G0,W18,D3,L4,V4,M4} { ! class_Rings_Odivision__ring( X ), Y =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), ! T = c_Groups_Otimes__class_Otimes( X
% 3.09/3.50 , Z, Y ), c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z }.
% 3.09/3.50 (20680) {G0,W21,D4,L3,V4,M3} { ! class_Fields_Ofield__inverse__zero( X ),
% 3.09/3.50 Y = c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X
% 3.09/3.50 , c_Groups_Otimes__class_Otimes( X, T, Y ), c_Groups_Otimes__class_Otimes
% 3.09/3.50 ( X, Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 3.09/3.50 (20681) {G0,W21,D4,L3,V4,M3} { ! class_Fields_Ofield__inverse__zero( X ),
% 3.09/3.50 Y = c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X
% 3.09/3.50 , c_Groups_Otimes__class_Otimes( X, Y, T ), c_Groups_Otimes__class_Otimes
% 3.09/3.50 ( X, Y, Z ) ) = c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 3.09/3.50 (20682) {G0,W28,D3,L5,V5,M5} { ! class_Fields_Ofield( X ), Y =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ), !
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, U, Y ) =
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, T, Z ), c_Groups_Otimes__class_Otimes
% 3.09/3.50 ( X, U, Z ) = c_Groups_Otimes__class_Otimes( X, T, Y ) }.
% 3.09/3.50 (20683) {G0,W28,D3,L5,V5,M5} { ! class_Fields_Ofield( X ), Y =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ), !
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, U, Z ) = c_Groups_Otimes__class_Otimes
% 3.09/3.50 ( X, T, Y ), c_Rings_Oinverse__class_Odivide( X, U, Y ) =
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 3.09/3.50 (20684) {G0,W18,D3,L4,V4,M4} { ! class_Rings_Odivision__ring( X ), Y =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), ! T = c_Groups_Otimes__class_Otimes( X
% 3.09/3.50 , Z, Y ), c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z }.
% 3.09/3.50 (20685) {G0,W18,D3,L4,V4,M4} { ! class_Rings_Odivision__ring( X ), Y =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), ! c_Groups_Otimes__class_Otimes( X, T,
% 3.09/3.50 Y ) = Z, T = c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 3.09/3.50 (20686) {G0,W24,D4,L3,V4,M3} { ! class_Fields_Ofield( X ), Y =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Power_Opower__class_Opower( X,
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) =
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, c_Power_Opower__class_Opower( X, T, Z
% 3.09/3.50 ), c_Power_Opower__class_Opower( X, Y, Z ) ) }.
% 3.09/3.50 (20687) {G0,W21,D4,L3,V3,M3} { ! class_Fields_Olinordered__field( X ), Y =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oabs__class_Oabs( X,
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 3.09/3.50 c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 3.09/3.50 (20688) {G0,W21,D6,L4,V2,M4} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), !
% 3.09/3.50 class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 3.09/3.50 ) ) ) ) ) }.
% 3.09/3.50 (20689) {G0,W21,D6,L4,V2,M4} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), !
% 3.09/3.50 class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 3.09/3.50 ) ) ) ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero
% 3.09/3.50 ( X ), Y ) }.
% 3.09/3.50 (20690) {G0,W21,D6,L4,V2,M4} { !
% 3.09/3.50 class_Fields_Olinordered__field__inverse__zero( X ), !
% 3.09/3.50 class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 3.09/3.50 ) ) ) ) ) }.
% 3.09/3.50 (20691) {G0,W18,D6,L3,V2,M3} { ! class_Rings_Olinordered__idom( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 3.09/3.50 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ), ! Y =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.50 (20692) {G0,W18,D6,L3,V2,M3} { ! class_Rings_Olinordered__idom( X ), Y =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Power_Opower__class_Opower( X, Y,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.50 c_Int_OPls ) ) ) ) ) }.
% 3.09/3.50 (20693) {G0,W14,D6,L2,V2,M2} { ! class_Rings_Olinordered__idom( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Power_Opower__class_Opower( X, Y,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.50 c_Int_OPls ) ) ) ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 3.09/3.50 (20694) {G0,W32,D6,L5,V3,M5} { ! class_Rings_Olinordered__semidom( X ), !
% 3.09/3.50 c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of(
% 3.09/3.50 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) =
% 3.09/3.50 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 3.09/3.50 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 3.09/3.50 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 3.09/3.50 X ), Y ), Z = Y }.
% 3.09/3.50 (20695) {G0,W29,D6,L4,V3,M4} { ! class_Rings_Olinordered__semidom( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X, Z
% 3.09/3.50 , c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1
% 3.09/3.50 ( c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.50 c_Int_OPls ) ) ) ) ), ! c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless__eq
% 3.09/3.50 ( X, Z, Y ) }.
% 3.09/3.50 (20696) {G0,W14,D6,L2,V2,M2} { ! class_Rings_Olinordered__idom( X ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 3.09/3.50 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 3.09/3.50 (20697) {G0,W10,D6,L1,V0,M1} { c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 3.09/3.50 c_NthRoot_Osqrt( c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 3.09/3.50 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 3.09/3.50 (20698) {G0,W10,D6,L1,V0,M1} { c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 3.09/3.50 c_NthRoot_Osqrt( c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 3.09/3.50 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 3.09/3.50 (20699) {G0,W38,D6,L2,V6,M2} { ! class_RealVector_Oreal__field( X ),
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, W, U ), c_Groups_Otimes__class_Otimes(
% 3.09/3.50 X, T, Z ) ), Y ) = c_Groups_Oplus__class_Oplus( X,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, W, c_Rings_Oinverse__class_Odivide( X,
% 3.09/3.50 c_Groups_Ominus__class_Ominus( X, U, Z ), Y ) ),
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, c_Rings_Oinverse__class_Odivide( X,
% 3.09/3.50 c_Groups_Ominus__class_Ominus( X, W, T ), Y ), Z ) ) }.
% 3.09/3.50 (20700) {G0,W32,D7,L4,V3,M4} { ! class_Rings_Olinordered__idom( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.50 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.50 c_Int_OPls ) ) ) ) ) ), ! Z = c_Groups_Ozero__class_Ozero( X ), ! Y =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.50 (20701) {G0,W28,D7,L3,V3,M3} { ! class_Rings_Olinordered__idom( X ), Z =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 3.09/3.50 c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of(
% 3.09/3.50 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 3.09/3.50 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 3.09/3.50 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ) }.
% 3.09/3.50 (20702) {G0,W28,D7,L3,V3,M3} { ! class_Rings_Olinordered__idom( X ), Y =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 3.09/3.50 c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of(
% 3.09/3.50 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 3.09/3.50 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 3.09/3.50 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ) }.
% 3.09/3.50 (20703) {G0,W24,D7,L2,V3,M2} { ! class_Rings_Olinordered__idom( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 3.09/3.50 c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of(
% 3.09/3.50 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 3.09/3.50 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 3.09/3.50 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ),
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) ) }.
% 3.09/3.50 (20704) {G0,W28,D7,L3,V3,M3} { ! class_Rings_Olinordered__idom( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 3.09/3.50 c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of(
% 3.09/3.50 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 3.09/3.50 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 3.09/3.50 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ),
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) ), Z = c_Groups_Ozero__class_Ozero( X )
% 3.09/3.50 }.
% 3.09/3.50 (20705) {G0,W28,D7,L3,V3,M3} { ! class_Rings_Olinordered__idom( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 3.09/3.50 c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of(
% 3.09/3.50 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 3.09/3.50 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 3.09/3.50 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ),
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) ), Y = c_Groups_Ozero__class_Ozero( X )
% 3.09/3.50 }.
% 3.09/3.50 (20706) {G0,W32,D7,L4,V3,M4} { ! class_Rings_Olinordered__idom( X ), ! Z =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 3.09/3.50 , c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 3.09/3.50 c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of(
% 3.09/3.50 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 3.09/3.50 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 3.09/3.50 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ),
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) ) }.
% 3.09/3.50 (20707) {G0,W24,D7,L2,V3,M2} { ! class_Rings_Olinordered__idom( X ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.50 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.50 c_Int_OPls ) ) ) ) ) ) }.
% 3.09/3.50 (20708) {G0,W17,D7,L2,V3,M2} { ! class_Rings_Olinordered__idom( X ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 c_Power_Opower__class_Opower( X, Z, c_Groups_Otimes__class_Otimes(
% 3.09/3.50 tc_Nat_Onat, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0(
% 3.09/3.50 c_Int_OBit1( c_Int_OPls ) ) ), Y ) ) ) }.
% 3.09/3.50 (20709) {G0,W59,D8,L6,V3,M6} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y,
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.09/3.50 c_Int_OBit1( c_Int_OPls ) ) ) ) ), ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_RealDef_Oreal, Z, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X
% 3.09/3.50 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.09/3.50 c_Int_OBit1( c_Int_OPls ) ) ) ) ), ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Z ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_NthRoot_Osqrt(
% 3.09/3.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 3.09/3.50 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.50 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Z,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.50 c_Int_OPls ) ) ) ) ) ), X ) }.
% 3.09/3.50 (20710) {G0,W18,D6,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 3.09/3.50 c_Power_Opower__class_Opower( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.50 c_Int_OPls ) ) ) ) ) }.
% 3.09/3.50 (20711) {G0,W19,D6,L3,V2,M3} { ! c_Power_Opower__class_Opower(
% 3.09/3.50 tc_RealDef_Oreal, Y, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 3.09/3.50 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) = X, !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), c_NthRoot_Osqrt( X
% 3.09/3.50 ) = Y }.
% 3.09/3.50 (20712) {G0,W16,D6,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 3.09/3.50 c_Power_Opower__class_Opower( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.50 c_Int_OPls ) ) ) ) = X }.
% 3.09/3.50 (20713) {G0,W16,D6,L2,V1,M2} { ! c_Power_Opower__class_Opower(
% 3.09/3.50 tc_RealDef_Oreal, c_NthRoot_Osqrt( X ), c_Int_Onumber__class_Onumber__of
% 3.09/3.50 ( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) = X,
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }.
% 3.09/3.50 (20714) {G0,W16,D6,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 3.09/3.50 c_Power_Opower__class_Opower( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.50 c_Int_OPls ) ) ) ) = X }.
% 3.09/3.50 (20715) {G0,W17,D7,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, c_NthRoot_Osqrt(
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.09/3.50 c_Int_OBit1( c_Int_OPls ) ) ) ) ), X ) }.
% 3.09/3.50 (20716) {G0,W24,D5,L3,V4,M3} { ! class_Fields_Ofield__inverse__zero( X ),
% 3.09/3.50 Y = c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, T,
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, T, Y ) ), Y ) }.
% 3.09/3.50 (20717) {G0,W24,D5,L3,V4,M3} { ! class_Fields_Ofield( X ), Y =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, T,
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, Y, T ), Z ), Y ) }.
% 3.09/3.50 (20718) {G0,W24,D5,L3,V4,M3} { ! class_Fields_Ofield__inverse__zero( X ),
% 3.09/3.50 Y = c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) =
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, T,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), Y ) }.
% 3.09/3.50 (20719) {G0,W24,D5,L3,V4,M3} { ! class_Fields_Ofield( X ), Y =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) =
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, T,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, Y, Z ) ), Y ) }.
% 3.09/3.50 (20720) {G0,W37,D5,L4,V5,M4} { ! class_Fields_Ofield( X ), Y =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, c_Rings_Oinverse__class_Odivide( X, U, Y
% 3.09/3.50 ), c_Rings_Oinverse__class_Odivide( X, T, Z ) ) =
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 3.09/3.50 X, T, Y ) ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 3.09/3.50 (20721) {G0,W19,D5,L2,V2,M2} { ! class_Int_Onumber__ring( X ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( Y ) ) =
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 3.09/3.50 ) ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 3.09/3.50 (20722) {G0,W17,D4,L4,V4,M4} { ! class_Fields_Ofield__inverse__zero( X ),
% 3.09/3.50 ! class_Int_Onumber( X ), ! T = c_Rings_Oinverse__class_Odivide( X, Z,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha56( X, Y, Z, T ) }.
% 3.09/3.50 (20723) {G0,W16,D4,L4,V4,M4} { ! class_Fields_Ofield__inverse__zero( X ),
% 3.09/3.50 ! class_Int_Onumber( X ), ! T = c_Rings_Oinverse__class_Odivide( X, Z,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha23( X, Y, T ) }.
% 3.09/3.50 (20724) {G0,W21,D4,L5,V4,M5} { ! class_Fields_Ofield__inverse__zero( X ),
% 3.09/3.50 ! class_Int_Onumber( X ), ! alpha56( X, Y, Z, T ), ! alpha23( X, Y, T ),
% 3.09/3.50 T = c_Rings_Oinverse__class_Odivide( X, Z,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 3.09/3.50 (20725) {G0,W19,D4,L3,V4,M3} { ! alpha56( X, Y, Z, T ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 3.09/3.50 ), c_Groups_Otimes__class_Otimes( X, T, c_Int_Onumber__class_Onumber__of
% 3.09/3.50 ( X, Y ) ) = Z }.
% 3.09/3.50 (20726) {G0,W11,D3,L2,V4,M2} { ! c_Int_Onumber__class_Onumber__of( X, Y )
% 3.09/3.50 = c_Groups_Ozero__class_Ozero( X ), alpha56( X, Y, Z, T ) }.
% 3.09/3.50 (20727) {G0,W13,D4,L2,V4,M2} { ! c_Groups_Otimes__class_Otimes( X, T,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Y ) ) = Z, alpha56( X, Y, Z, T ) }.
% 3.09/3.50 (20728) {G0,W14,D3,L3,V3,M3} { ! alpha23( X, Y, Z ), !
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 3.09/3.50 ), Z = c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.50 (20729) {G0,W10,D3,L2,V3,M2} { c_Int_Onumber__class_Onumber__of( X, Y ) =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), alpha23( X, Y, Z ) }.
% 3.09/3.50 (20730) {G0,W8,D3,L2,V3,M2} { ! Z = c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 alpha23( X, Y, Z ) }.
% 3.09/3.50 (20731) {G0,W17,D3,L4,V4,M4} { ! class_Fields_Ofield__inverse__zero( X ),
% 3.09/3.50 ! class_Int_Onumber( X ), ! c_Int_Onumber__class_Onumber__of( X, T ) =
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha57( X, Y, Z, T ) }.
% 3.09/3.50 (20732) {G0,W16,D3,L4,V4,M4} { ! class_Fields_Ofield__inverse__zero( X ),
% 3.09/3.50 ! class_Int_Onumber( X ), ! c_Int_Onumber__class_Onumber__of( X, T ) =
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha24( X, Y, T ) }.
% 3.09/3.50 (20733) {G0,W21,D3,L5,V4,M5} { ! class_Fields_Ofield__inverse__zero( X ),
% 3.09/3.50 ! class_Int_Onumber( X ), ! alpha57( X, Y, Z, T ), ! alpha24( X, Y, T ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, T ) =
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 3.09/3.50 (20734) {G0,W17,D4,L3,V4,M3} { ! alpha57( X, Y, Z, T ), Y =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, T ), Y ) = Z }.
% 3.09/3.50 (20735) {G0,W9,D3,L2,V4,M2} { ! Y = c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 alpha57( X, Y, Z, T ) }.
% 3.09/3.50 (20736) {G0,W13,D4,L2,V4,M2} { ! c_Groups_Otimes__class_Otimes( X,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, T ), Y ) = Z, alpha57( X, Y, Z, T )
% 3.09/3.50 }.
% 3.09/3.50 (20737) {G0,W14,D3,L3,V3,M3} { ! alpha24( X, Y, Z ), ! Y =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 3.09/3.50 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.50 (20738) {G0,W8,D3,L2,V3,M2} { Y = c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 alpha24( X, Y, Z ) }.
% 3.09/3.50 (20739) {G0,W10,D3,L2,V3,M2} { ! c_Int_Onumber__class_Onumber__of( X, Z )
% 3.09/3.50 = c_Groups_Ozero__class_Ozero( X ), alpha24( X, Y, Z ) }.
% 3.09/3.50 (20740) {G0,W17,D3,L4,V4,M4} { ! class_Fields_Ofield__inverse__zero( X ),
% 3.09/3.50 ! class_Int_Onumber( X ), ! c_Rings_Oinverse__class_Odivide( X, T, Z ) =
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Y ), alpha58( X, Y, Z, T ) }.
% 3.09/3.50 (20741) {G0,W16,D3,L4,V4,M4} { ! class_Fields_Ofield__inverse__zero( X ),
% 3.09/3.50 ! class_Int_Onumber( X ), ! c_Rings_Oinverse__class_Odivide( X, T, Z ) =
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Y ), alpha25( X, Y, Z ) }.
% 3.09/3.50 (20742) {G0,W21,D3,L5,V4,M5} { ! class_Fields_Ofield__inverse__zero( X ),
% 3.09/3.50 ! class_Int_Onumber( X ), ! alpha58( X, Y, Z, T ), ! alpha25( X, Y, Z ),
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, T, Z ) =
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 3.09/3.50 (20743) {G0,W17,D4,L3,V4,M3} { ! alpha58( X, Y, Z, T ), Z =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), T = c_Groups_Otimes__class_Otimes( X,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Y ), Z ) }.
% 3.09/3.50 (20744) {G0,W9,D3,L2,V4,M2} { ! Z = c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 alpha58( X, Y, Z, T ) }.
% 3.09/3.50 (20745) {G0,W13,D4,L2,V4,M2} { ! T = c_Groups_Otimes__class_Otimes( X,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Y ), Z ), alpha58( X, Y, Z, T ) }.
% 3.09/3.50 (20746) {G0,W14,D3,L3,V3,M3} { ! alpha25( X, Y, Z ), ! Z =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 3.09/3.50 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.50 (20747) {G0,W8,D3,L2,V3,M2} { Z = c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 alpha25( X, Y, Z ) }.
% 3.09/3.50 (20748) {G0,W10,D3,L2,V3,M2} { ! c_Int_Onumber__class_Onumber__of( X, Y )
% 3.09/3.50 = c_Groups_Ozero__class_Ozero( X ), alpha25( X, Y, Z ) }.
% 3.09/3.50 (20749) {G0,W17,D4,L4,V4,M4} { ! class_Fields_Ofield__inverse__zero( X ),
% 3.09/3.50 ! class_Int_Onumber( X ), ! c_Rings_Oinverse__class_Odivide( X, T,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Z ) ) = Y, alpha59( X, Y, Z, T ) }.
% 3.09/3.50 (20750) {G0,W16,D4,L4,V4,M4} { ! class_Fields_Ofield__inverse__zero( X ),
% 3.09/3.50 ! class_Int_Onumber( X ), ! c_Rings_Oinverse__class_Odivide( X, T,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Z ) ) = Y, alpha26( X, Y, Z ) }.
% 3.09/3.50 (20751) {G0,W21,D4,L5,V4,M5} { ! class_Fields_Ofield__inverse__zero( X ),
% 3.09/3.50 ! class_Int_Onumber( X ), ! alpha59( X, Y, Z, T ), ! alpha26( X, Y, Z ),
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 3.09/3.50 X, Z ) ) = Y }.
% 3.09/3.50 (20752) {G0,W19,D4,L3,V4,M3} { ! alpha59( X, Y, Z, T ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero( X
% 3.09/3.50 ), T = c_Groups_Otimes__class_Otimes( X, Y,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Z ) ) }.
% 3.09/3.50 (20753) {G0,W11,D3,L2,V4,M2} { ! c_Int_Onumber__class_Onumber__of( X, Z )
% 3.09/3.50 = c_Groups_Ozero__class_Ozero( X ), alpha59( X, Y, Z, T ) }.
% 3.09/3.50 (20754) {G0,W13,D4,L2,V4,M2} { ! T = c_Groups_Otimes__class_Otimes( X, Y,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha59( X, Y, Z, T ) }.
% 3.09/3.50 (20755) {G0,W14,D3,L3,V3,M3} { ! alpha26( X, Y, Z ), !
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero( X
% 3.09/3.50 ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.50 (20756) {G0,W10,D3,L2,V3,M2} { c_Int_Onumber__class_Onumber__of( X, Z ) =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), alpha26( X, Y, Z ) }.
% 3.09/3.50 (20757) {G0,W8,D3,L2,V3,M2} { ! Y = c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 alpha26( X, Y, Z ) }.
% 3.09/3.50 (20758) {G0,W13,D4,L3,V2,M3} { ! class_Fields_Ofield__inverse__zero( X ),
% 3.09/3.50 ! class_Int_Onumber__ring( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ) ) =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.50 (20759) {G0,W14,D5,L1,V2,M1} { c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, Y, c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus(
% 3.09/3.50 tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y )
% 3.09/3.50 , c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) ) ) }.
% 3.09/3.50 (20760) {G0,W23,D8,L1,V2,M1} { c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 3.09/3.50 c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 3.09/3.50 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.50 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.50 c_Int_OPls ) ) ) ) ) ) ) }.
% 3.09/3.50 (20761) {G0,W43,D9,L1,V4,M1} { c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 3.09/3.50 c_NthRoot_Osqrt( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 3.09/3.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 3.09/3.50 c_Power_Opower__class_Opower( tc_RealDef_Oreal, T,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.50 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Z,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.50 c_Int_OPls ) ) ) ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 3.09/3.50 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.50 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.50 c_Int_OPls ) ) ) ) ) ) ) ) }.
% 3.09/3.50 (20762) {G0,W17,D6,L3,V2,M3} { ! class_Rings_Oring__1__no__zero__divisors
% 3.09/3.50 ( X ), ! c_Power_Opower__class_Opower( X, Y,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.50 c_Int_OPls ) ) ) ) = c_Groups_Ozero__class_Ozero( X ), Y =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.50 (20763) {G0,W17,D6,L3,V2,M3} { ! class_Rings_Oring__1__no__zero__divisors
% 3.09/3.50 ( X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 3.09/3.50 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.50 (20764) {G0,W14,D6,L2,V1,M2} { ! class_Rings_Osemiring__1( X ),
% 3.09/3.50 c_Power_Opower__class_Opower( X, c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.50 c_Int_OPls ) ) ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.50 (20765) {G0,W26,D7,L1,V2,M1} { c_Groups_Ominus__class_Ominus(
% 3.09/3.50 tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 3.09/3.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.09/3.50 c_Int_OBit1( c_Int_OPls ) ) ) ), X ) = c_Rings_Oinverse__class_Odivide(
% 3.09/3.50 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X )
% 3.09/3.50 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.09/3.50 c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 3.09/3.50 (20766) {G0,W26,D7,L1,V2,M1} { c_Groups_Ominus__class_Ominus(
% 3.09/3.50 tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 3.09/3.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.09/3.50 c_Int_OBit1( c_Int_OPls ) ) ) ), Y ) = c_Rings_Oinverse__class_Odivide(
% 3.09/3.50 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y )
% 3.09/3.50 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.09/3.50 c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 3.09/3.50 (20767) {G0,W27,D7,L3,V3,M3} { ! class_Rings_Olinordered__idom( X ), !
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.50 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.50 c_Int_OPls ) ) ) ) ) = c_Groups_Ozero__class_Ozero( X ), Z =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.50 (20768) {G0,W27,D7,L3,V3,M3} { ! class_Rings_Olinordered__idom( X ), !
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.50 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.50 c_Int_OPls ) ) ) ) ) = c_Groups_Ozero__class_Ozero( X ), Y =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.50 (20769) {G0,W31,D7,L4,V3,M4} { ! class_Rings_Olinordered__idom( X ), ! Z =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 3.09/3.50 , c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.50 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.50 c_Int_OPls ) ) ) ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.50 (20770) {G0,W21,D7,L3,V3,M3} { ! class_Rings_Olinordered__idom( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X, Y
% 3.09/3.50 , c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.50 c_Int_OPls ) ) ), Z ) ), c_Groups_Ozero__class_Ozero( X ) ), Y =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.50 (20771) {G0,W18,D6,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_RealDef_Oreal, Y, X ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal
% 3.09/3.50 , c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 3.09/3.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.09/3.50 c_Int_OBit1( c_Int_OPls ) ) ) ), X ) }.
% 3.09/3.50 (20772) {G0,W18,D6,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_RealDef_Oreal, Y, X ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal
% 3.09/3.50 , Y, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 3.09/3.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.09/3.50 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 3.09/3.50 (20773) {G0,W25,D7,L2,V2,M2} { ! c_Groups_Oplus__class_Oplus(
% 3.09/3.50 tc_RealDef_Oreal, c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.50 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.50 c_Int_OPls ) ) ) ) ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y
% 3.09/3.50 = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 3.09/3.50 (20774) {G0,W25,D7,L2,V2,M2} { ! c_Groups_Oplus__class_Oplus(
% 3.09/3.50 tc_RealDef_Oreal, c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.50 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.50 c_Int_OPls ) ) ) ) ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X
% 3.09/3.50 = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 3.09/3.50 (20775) {G0,W29,D7,L3,V2,M3} { ! Y = c_Groups_Ozero__class_Ozero(
% 3.09/3.50 tc_RealDef_Oreal ), ! X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal )
% 3.09/3.50 , c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 3.09/3.50 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.50 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.50 c_Int_OPls ) ) ) ) ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal )
% 3.09/3.50 }.
% 3.09/3.50 (20776) {G0,W20,D4,L3,V3,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, X, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 3.09/3.50 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ),
% 3.09/3.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X,
% 3.09/3.50 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Z ) ) ), Y =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 3.09/3.50 (20777) {G0,W19,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 3.09/3.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ) }.
% 3.09/3.50 (20778) {G0,W19,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 3.09/3.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 3.09/3.50 (20779) {G0,W19,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ),
% 3.09/3.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ) }.
% 3.09/3.50 (20780) {G0,W19,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ),
% 3.09/3.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) }.
% 3.09/3.50 (20781) {G0,W30,D5,L2,V5,M2} { !
% 3.09/3.50 class_Groups_Oordered__ab__group__add__abs( X ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 3.09/3.50 c_Groups_Ominus__class_Ominus( X, c_Groups_Oplus__class_Oplus( X, U, T )
% 3.09/3.50 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) ), c_Groups_Oplus__class_Oplus
% 3.09/3.50 ( X, c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, U, Z
% 3.09/3.50 ) ), c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, T,
% 3.09/3.50 Y ) ) ) ) }.
% 3.09/3.50 (20782) {G0,W18,D4,L2,V3,M2} { !
% 3.09/3.50 class_Groups_Oordered__ab__group__add__abs( X ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 3.09/3.50 c_Groups_Ominus__class_Ominus( X, Z, Y ) ), c_Groups_Oplus__class_Oplus(
% 3.09/3.50 X, c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) )
% 3.09/3.50 ) }.
% 3.09/3.50 (20783) {G0,W17,D3,L3,V2,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 3.09/3.50 c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 3.09/3.50 tc_Nat_Onat ), Y ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 3.09/3.50 (20784) {G0,W13,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 3.09/3.50 tc_Nat_Onat ), c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) ) }.
% 3.09/3.50 (20785) {G0,W12,D3,L2,V2,M2} { ! X = c_Groups_Ozero__class_Ozero(
% 3.09/3.50 tc_Nat_Onat ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 3.09/3.50 ( tc_Nat_Onat, Y, X ) ) }.
% 3.09/3.50 (20786) {G0,W18,D4,L3,V2,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 3.09/3.50 c_Power_Opower__class_Opower( tc_Int_Oint, c_Groups_Oabs__class_Oabs(
% 3.09/3.50 tc_Int_Oint, Y ), X ) ), ! Y = c_Groups_Ozero__class_Ozero( tc_Int_Oint )
% 3.09/3.50 , X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 3.09/3.50 (20787) {G0,W14,D4,L2,V2,M2} { Y = c_Groups_Ozero__class_Ozero(
% 3.09/3.50 tc_Int_Oint ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Power_Opower__class_Opower
% 3.09/3.50 ( tc_Int_Oint, c_Groups_Oabs__class_Oabs( tc_Int_Oint, Y ), X ) ) }.
% 3.09/3.50 (20788) {G0,W14,D4,L2,V2,M2} { ! X = c_Groups_Ozero__class_Ozero(
% 3.09/3.50 tc_Nat_Onat ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Power_Opower__class_Opower
% 3.09/3.50 ( tc_Int_Oint, c_Groups_Oabs__class_Oabs( tc_Int_Oint, Y ), X ) ) }.
% 3.09/3.50 (20789) {G0,W19,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Power_Opower__class_Opower
% 3.09/3.50 ( tc_Nat_Onat, X, Z ), c_Power_Opower__class_Opower( tc_Nat_Onat, X, Y )
% 3.09/3.50 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ) }.
% 3.09/3.50 (20790) {G0,W18,D3,L3,V4,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Int_Oint, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, T
% 3.09/3.50 , Z ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 3.09/3.50 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, T ),
% 3.09/3.50 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Z ) ) }.
% 3.09/3.50 (20791) {G0,W11,D2,L3,V2,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Int_Oint, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X
% 3.09/3.50 , Y ), Y = X }.
% 3.09/3.50 (20792) {G0,W12,D2,L3,V3,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Int_Oint, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X
% 3.09/3.50 , Z ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, Z ) }.
% 3.09/3.50 (20793) {G0,W11,D2,L3,V2,M3} { c_Orderings_Oord__class_Oless( tc_Int_Oint
% 3.09/3.50 , Y, X ), Y = X, c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Y ) }.
% 3.09/3.50 (20794) {G0,W8,D2,L2,V2,M2} { ! c_Orderings_Oord__class_Oless( tc_Int_Oint
% 3.09/3.50 , Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 3.09/3.50 (20795) {G0,W7,D2,L2,V2,M2} { ! c_Orderings_Oord__class_Oless( tc_Int_Oint
% 3.09/3.50 , Y, X ), ! Y = X }.
% 3.09/3.50 (20796) {G0,W11,D2,L3,V2,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Int_Oint, Y, X ), Y = X, c_Orderings_Oord__class_Oless( tc_Int_Oint, Y
% 3.09/3.50 , X ) }.
% 3.09/3.50 (20797) {G0,W12,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 3.09/3.50 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ),
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 3.09/3.50 (20798) {G0,W12,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Int_Oint, c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ),
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 3.09/3.50 (20799) {G0,W8,D2,L2,V2,M2} { c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Y
% 3.09/3.50 ) }.
% 3.09/3.50 (20800) {G0,W21,D4,L3,V2,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 3.09/3.50 c_Power_Opower__class_Opower( tc_Nat_Onat, Y,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Orderings_Oord__class_Oless
% 3.09/3.50 ( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ) }.
% 3.09/3.50 (20801) {G0,W16,D4,L2,V2,M2} { ! c_Int_Onumber__class_Onumber__of(
% 3.09/3.50 tc_Nat_Onat, X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 3.09/3.50 tc_Nat_Onat ), c_Power_Opower__class_Opower( tc_Nat_Onat, Y,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) ) }.
% 3.09/3.50 (20802) {G0,W15,D4,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 3.09/3.50 tc_Nat_Onat ), c_Power_Opower__class_Opower( tc_Nat_Onat, Y,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) ) }.
% 3.09/3.50 (20803) {G0,W17,D3,L3,V2,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 3.09/3.50 c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) ), X =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Orderings_Oord__class_Oless
% 3.09/3.50 ( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ) }.
% 3.09/3.50 (20804) {G0,W12,D3,L2,V2,M2} { ! X = c_Groups_Ozero__class_Ozero(
% 3.09/3.50 tc_Nat_Onat ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 3.09/3.50 ( tc_Nat_Onat, Y, X ) ) }.
% 3.09/3.50 (20805) {G0,W13,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 3.09/3.50 tc_Nat_Onat ), c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) ) }.
% 3.09/3.50 (20806) {G0,W4,D2,L1,V1,M1} { c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Int_Oint, X, X ) }.
% 3.09/3.50 (20807) {G0,W11,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Int_Oint, c_Int_OBit1( X ), c_Groups_Ozero__class_Ozero( tc_Int_Oint )
% 3.09/3.50 ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 3.09/3.50 (20808) {G0,W11,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Int_Oint, X, c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ),
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 3.09/3.50 (20809) {G0,W5,D3,L1,V0,M1} { ! c_Orderings_Oord__class_Oless( tc_Int_Oint
% 3.09/3.50 , c_Int_OPls, c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 3.09/3.50 (20810) {G0,W11,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Int_Oint, c_Int_OBit0( X ), c_Groups_Ozero__class_Ozero( tc_Int_Oint )
% 3.09/3.50 ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 3.09/3.50 (20811) {G0,W11,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Int_Oint, X, c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ),
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 3.09/3.50 (20812) {G0,W19,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Int_Oint, Y, X ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Z ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Otimes__class_Otimes
% 3.09/3.50 ( tc_Int_Oint, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X )
% 3.09/3.50 ) }.
% 3.09/3.50 (20813) {G0,W12,D4,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Nat_Onat, Y, X ), X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 3.09/3.50 skol1( X, Y ) ) }.
% 3.09/3.50 (20814) {G0,W10,D3,L2,V3,M2} { ! X = c_Groups_Oplus__class_Oplus(
% 3.09/3.50 tc_Nat_Onat, Y, Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X
% 3.09/3.50 ) }.
% 3.09/3.50 (20815) {G0,W10,D4,L1,V2,M1} { c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 3.09/3.50 c_Power_Opower__class_Opower( tc_Int_Oint, c_Groups_Oabs__class_Oabs(
% 3.09/3.50 tc_Int_Oint, Y ), X ) ) }.
% 3.09/3.50 (20816) {G0,W11,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ) }.
% 3.09/3.50 (20817) {G0,W11,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Int_Oint, c_Int_OPls, X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 3.09/3.50 , c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 3.09/3.50 (20818) {G0,W9,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless( tc_Int_Oint
% 3.09/3.50 , c_Int_OPls, c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Int_Oint, c_Int_OPls, X ) }.
% 3.09/3.50 (20819) {G0,W9,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Int_Oint, c_Int_OPls, X ), c_Orderings_Oord__class_Oless( tc_Int_Oint
% 3.09/3.50 , c_Int_OPls, c_Int_OBit1( X ) ) }.
% 3.09/3.50 (20820) {G0,W9,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Int_Oint, c_Int_OBit1( X ), c_Int_OPls ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ) }.
% 3.09/3.50 (20821) {G0,W9,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless( tc_Int_Oint
% 3.09/3.50 , X, c_Int_OPls ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 3.09/3.50 c_Int_OBit1( X ), c_Int_OPls ) }.
% 3.09/3.50 (20822) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1( X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 3.09/3.50 (20823) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 3.09/3.50 c_Int_OBit0( Y ), c_Int_OBit1( X ) ) }.
% 3.09/3.50 (20824) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1( X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 3.09/3.50 (20825) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 3.09/3.50 c_Int_OBit0( Y ), c_Int_OBit1( X ) ) }.
% 3.09/3.50 (20826) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0( X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 3.09/3.50 (20827) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 3.09/3.50 c_Int_OBit1( Y ), c_Int_OBit0( X ) ) }.
% 3.09/3.50 (20828) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0( X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 3.09/3.50 (20829) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 3.09/3.50 c_Int_OBit1( Y ), c_Int_OBit0( X ) ) }.
% 3.09/3.50 (20830) {G0,W11,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Nat_Onat, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ), alpha27( X, Y ) }.
% 3.09/3.50 (20831) {G0,W12,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Nat_Onat, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 3.09/3.50 (20832) {G0,W15,D3,L3,V2,M3} { ! alpha27( X, Y ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 3.09/3.50 (20833) {G0,W11,D2,L3,V2,M3} { ! alpha27( X, Y ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ) }.
% 3.09/3.50 (20834) {G0,W7,D2,L2,V2,M2} { c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 3.09/3.50 Y, X ), alpha27( X, Y ) }.
% 3.09/3.50 (20835) {G0,W7,D2,L2,V2,M2} { ! c_Orderings_Oord__class_Oless( tc_Int_Oint
% 3.09/3.50 , c_Int_OPls, X ), alpha27( X, Y ) }.
% 3.09/3.50 (20836) {G0,W16,D3,L3,V2,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Nat_Onat, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ) }.
% 3.09/3.50 (20837) {G0,W12,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 3.09/3.50 (20838) {G0,W12,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Int_Oint, Y, c_Int_OPls ), c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Nat_Onat, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 3.09/3.50 (20839) {G0,W10,D3,L2,V1,M2} { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat
% 3.09/3.50 ) = c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ) }.
% 3.09/3.50 (20840) {G0,W10,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Int_Oint, X, c_Int_OPls ), c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 3.09/3.50 = c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) }.
% 3.09/3.50 (20841) {G0,W10,D3,L2,V1,M2} { ! c_Int_Onumber__class_Onumber__of(
% 3.09/3.50 tc_Nat_Onat, X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ) }.
% 3.09/3.50 (20842) {G0,W10,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Int_Oint, X, c_Int_OPls ), c_Int_Onumber__class_Onumber__of(
% 3.09/3.50 tc_Nat_Onat, X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 3.09/3.50 (20843) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1( X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 3.09/3.50 (20844) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 3.09/3.50 c_Int_OBit1( Y ), c_Int_OBit1( X ) ) }.
% 3.09/3.50 (20845) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1( X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 3.09/3.50 (20846) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 3.09/3.50 c_Int_OBit1( Y ), c_Int_OBit1( X ) ) }.
% 3.09/3.50 (20847) {G0,W4,D2,L1,V0,M1} { ! c_Orderings_Oord__class_Oless( tc_Int_Oint
% 3.09/3.50 , c_Int_OPls, c_Int_OPls ) }.
% 3.09/3.50 (20848) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0( X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 3.09/3.50 (20849) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 3.09/3.50 c_Int_OBit0( Y ), c_Int_OBit0( X ) ) }.
% 3.09/3.50 (20850) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0( X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 3.09/3.50 (20851) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 3.09/3.50 c_Int_OBit0( Y ), c_Int_OBit0( X ) ) }.
% 3.09/3.50 (20852) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1( X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 3.09/3.50 (20853) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 3.09/3.50 c_Int_OBit1( Y ), c_Int_OBit1( X ) ) }.
% 3.09/3.50 (20854) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1( X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 3.09/3.50 (20855) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 3.09/3.50 c_Int_OBit1( Y ), c_Int_OBit1( X ) ) }.
% 3.09/3.50 (20856) {G0,W4,D2,L1,V0,M1} { c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Int_Oint, c_Int_OPls, c_Int_OPls ) }.
% 3.09/3.50 (20857) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0( X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 3.09/3.50 (20858) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 3.09/3.50 c_Int_OBit0( Y ), c_Int_OBit0( X ) ) }.
% 3.09/3.50 (20859) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0( X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 3.09/3.50 (20860) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 3.09/3.50 c_Int_OBit0( Y ), c_Int_OBit0( X ) ) }.
% 3.09/3.50 (20861) {G0,W14,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 3.09/3.50 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, Z ),
% 3.09/3.50 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Z ) ) }.
% 3.09/3.50 (20862) {G0,W12,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Int_Oint, c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 3.09/3.50 (20863) {G0,W12,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) }.
% 3.09/3.50 (20864) {G0,W14,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 3.09/3.50 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, Y ),
% 3.09/3.50 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, X ) ) }.
% 3.09/3.50 (20865) {G0,W12,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Int_Oint, c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 3.09/3.50 (20866) {G0,W12,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) }.
% 3.09/3.50 (20867) {G0,W4,D3,L1,V0,M1} { c_Int_OPls = c_Groups_Ozero__class_Ozero(
% 3.09/3.50 tc_Int_Oint ) }.
% 3.09/3.50 (20868) {G0,W7,D4,L1,V1,M1} { c_Groups_Oplus__class_Oplus( tc_Int_Oint, X
% 3.09/3.50 , c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) = X }.
% 3.09/3.50 (20869) {G0,W7,D4,L1,V1,M1} { c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ) = X }.
% 3.09/3.50 (20870) {G0,W9,D5,L1,V0,M1} { c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.50 c_Int_OPls ) ) ) ) }.
% 3.09/3.50 (20871) {G0,W18,D5,L2,V3,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Int_Oint, Z, c_Int_OPls ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 3.09/3.50 , c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Z ),
% 3.09/3.50 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ), X ) ) =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 3.09/3.50 (20872) {G0,W25,D5,L2,V3,M2} { c_Orderings_Oord__class_Oless( tc_Int_Oint
% 3.09/3.50 , Z, c_Int_OPls ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Z ),
% 3.09/3.50 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ), X ) ) =
% 3.09/3.50 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ) ), X ) }.
% 3.09/3.50 (20873) {G0,W15,D4,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Int_Oint, Y, c_Int_OPls ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 3.09/3.50 , c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 3.09/3.50 (20874) {G0,W19,D4,L2,V2,M2} { c_Orderings_Oord__class_Oless( tc_Int_Oint
% 3.09/3.50 , Y, c_Int_OPls ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 3.09/3.50 (20875) {G0,W9,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless( tc_Int_Oint
% 3.09/3.50 , c_Int_OBit1( X ), c_Int_OPls ), c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Int_Oint, X, c_Int_OPls ) }.
% 3.09/3.50 (20876) {G0,W9,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless( tc_Int_Oint
% 3.09/3.50 , X, c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 3.09/3.50 c_Int_OBit1( X ), c_Int_OPls ) }.
% 3.09/3.50 (20877) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0( X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 3.09/3.50 (20878) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 3.09/3.50 c_Int_OBit1( Y ), c_Int_OBit0( X ) ) }.
% 3.09/3.50 (20879) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0( X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 3.09/3.50 (20880) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 3.09/3.50 c_Int_OBit1( Y ), c_Int_OBit0( X ) ) }.
% 3.09/3.50 (20881) {G0,W9,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless( tc_Int_Oint
% 3.09/3.50 , c_Int_OPls, c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Int_Oint, c_Int_OPls, X ) }.
% 3.09/3.50 (20882) {G0,W9,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless( tc_Int_Oint
% 3.09/3.50 , c_Int_OPls, X ), c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls
% 3.09/3.50 , c_Int_OBit0( X ) ) }.
% 3.09/3.50 (20883) {G0,W9,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless( tc_Int_Oint
% 3.09/3.50 , c_Int_OBit0( X ), c_Int_OPls ), c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Int_Oint, X, c_Int_OPls ) }.
% 3.09/3.50 (20884) {G0,W9,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless( tc_Int_Oint
% 3.09/3.50 , X, c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 3.09/3.50 c_Int_OBit0( X ), c_Int_OPls ) }.
% 3.09/3.50 (20885) {G0,W9,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Int_Oint, c_Int_OPls, c_Int_OBit1( X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ) }.
% 3.09/3.50 (20886) {G0,W9,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Int_Oint, c_Int_OPls, X ), c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Int_Oint, c_Int_OPls, c_Int_OBit1( X ) ) }.
% 3.09/3.50 (20887) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1( X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 3.09/3.50 (20888) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 3.09/3.50 c_Int_OBit0( Y ), c_Int_OBit1( X ) ) }.
% 3.09/3.50 (20889) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1( X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 3.09/3.50 (20890) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 3.09/3.50 c_Int_OBit0( Y ), c_Int_OBit1( X ) ) }.
% 3.09/3.50 (20891) {G0,W9,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Int_Oint, c_Int_OPls, c_Int_OBit0( X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ) }.
% 3.09/3.50 (20892) {G0,W9,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Int_Oint, c_Int_OPls, X ), c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Int_Oint, c_Int_OPls, c_Int_OBit0( X ) ) }.
% 3.09/3.50 (20893) {G0,W9,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Int_Oint, c_Int_OBit0( X ), c_Int_OPls ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ) }.
% 3.09/3.50 (20894) {G0,W9,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Int_Oint, X, c_Int_OPls ), c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Int_Oint, c_Int_OBit0( X ), c_Int_OPls ) }.
% 3.09/3.50 (20895) {G0,W6,D3,L1,V0,M1} { c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) =
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OPls ) }.
% 3.09/3.50 (20896) {G0,W6,D3,L1,V0,M1} { c_Int_Onumber__class_Onumber__of(
% 3.09/3.50 tc_Nat_Onat, c_Int_OPls ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 3.09/3.50 }.
% 3.09/3.50 (20897) {G0,W6,D3,L1,V0,M1} { c_Groups_Ozero__class_Ozero( tc_Int_Oint ) =
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OPls ) }.
% 3.09/3.50 (20898) {G0,W29,D3,L6,V4,M6} { ! class_Rings_Olinordered__semidom( X ), !
% 3.09/3.50 c_Power_Opower__class_Opower( X, T, Z ) = c_Power_Opower__class_Opower( X
% 3.09/3.50 , Y, Z ), ! c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), T ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 3.09/3.50 ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Z ), T = Y }.
% 3.09/3.50 (20899) {G0,W28,D4,L4,V4,M4} { ! class_Fields_Ofield( X ), Y =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_Nat_Onat, T, Z ), c_Power_Opower__class_Opower( X, Y,
% 3.09/3.50 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, T ) ) =
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( X, c_Power_Opower__class_Opower( X, Y, Z
% 3.09/3.50 ), c_Power_Opower__class_Opower( X, Y, T ) ) }.
% 3.09/3.50 (20900) {G0,W10,D3,L3,V2,M3} { ! class_Groups_Ozero( X ), !
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) = Y, Y = c_Groups_Ozero__class_Ozero( X
% 3.09/3.50 ) }.
% 3.09/3.50 (20901) {G0,W10,D3,L3,V2,M3} { ! class_Groups_Ozero( X ), ! Y =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ozero__class_Ozero( X ) = Y
% 3.09/3.50 }.
% 3.09/3.50 (20902) {G0,W17,D4,L2,V4,M2} { ! class_Groups_Oab__semigroup__mult( X ),
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 3.09/3.50 ), Y ) = c_Groups_Otimes__class_Otimes( X, T,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 3.09/3.50 (20903) {G0,W14,D3,L3,V4,M3} { ! class_Groups_Ocancel__semigroup__add( X )
% 3.09/3.50 , ! c_Groups_Oplus__class_Oplus( X, Z, T ) = c_Groups_Oplus__class_Oplus
% 3.09/3.50 ( X, Y, T ), Z = Y }.
% 3.09/3.50 (20904) {G0,W14,D3,L3,V4,M3} { ! class_Groups_Ocancel__ab__semigroup__add
% 3.09/3.50 ( X ), ! c_Groups_Oplus__class_Oplus( X, T, Z ) =
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, T, Y ), Z = Y }.
% 3.09/3.50 (20905) {G0,W14,D3,L3,V4,M3} { ! class_Groups_Ocancel__semigroup__add( X )
% 3.09/3.50 , ! c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus
% 3.09/3.50 ( X, T, Y ), Z = Y }.
% 3.09/3.50 (20906) {G0,W14,D3,L3,V4,M3} { ! class_Groups_Ocancel__semigroup__add( X )
% 3.09/3.50 , ! c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus
% 3.09/3.50 ( X, Y, Z ), T = Y }.
% 3.09/3.50 (20907) {G0,W14,D3,L3,V4,M3} { ! class_Groups_Ocancel__semigroup__add( X )
% 3.09/3.50 , ! T = Y, c_Groups_Oplus__class_Oplus( X, T, Z ) =
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, Y, Z ) }.
% 3.09/3.50 (20908) {G0,W14,D3,L3,V4,M3} { ! class_Groups_Ocancel__semigroup__add( X )
% 3.09/3.50 , ! c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus
% 3.09/3.50 ( X, T, Y ), Z = Y }.
% 3.09/3.50 (20909) {G0,W14,D3,L3,V4,M3} { ! class_Groups_Ocancel__semigroup__add( X )
% 3.09/3.50 , ! Z = Y, c_Groups_Oplus__class_Oplus( X, T, Z ) =
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, T, Y ) }.
% 3.09/3.50 (20910) {G0,W17,D4,L2,V4,M2} { ! class_Groups_Oab__semigroup__add( X ),
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X, T, Z ), Y
% 3.09/3.50 ) = c_Groups_Oplus__class_Oplus( X, T, c_Groups_Oplus__class_Oplus( X, Z
% 3.09/3.50 , Y ) ) }.
% 3.09/3.50 (20911) {G0,W17,D3,L4,V5,M4} { ! class_Groups_Oab__group__add( X ), !
% 3.09/3.50 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 3.09/3.50 ( X, Z, Y ), ! U = T, Z = Y }.
% 3.09/3.50 (20912) {G0,W17,D3,L4,V5,M4} { ! class_Groups_Oab__group__add( X ), !
% 3.09/3.50 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 3.09/3.50 ( X, Z, Y ), ! Z = Y, U = T }.
% 3.09/3.50 (20913) {G0,W11,D2,L3,V2,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, Y, X ), ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, X, Y ), Y = X }.
% 3.09/3.50 (20914) {G0,W12,D2,L3,V3,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, Y, X ), ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, X, Z ), c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, Y, Z ) }.
% 3.09/3.50 (20915) {G0,W8,D2,L2,V2,M2} { c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, Y, X ), c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, X, Y ) }.
% 3.09/3.50 (20916) {G0,W4,D2,L1,V1,M1} { c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, X, X ) }.
% 3.09/3.50 (20917) {G0,W15,D4,L1,V3,M1} { c_Groups_Otimes__class_Otimes(
% 3.09/3.50 tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, Y )
% 3.09/3.50 , X ) = c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 3.09/3.50 (20918) {G0,W9,D3,L1,V2,M1} { c_Groups_Otimes__class_Otimes(
% 3.09/3.50 tc_RealDef_Oreal, Y, X ) = c_Groups_Otimes__class_Otimes(
% 3.09/3.50 tc_RealDef_Oreal, X, Y ) }.
% 3.09/3.50 (20919) {G0,W11,D4,L2,V2,M2} { !
% 3.09/3.50 class_Groups_Oordered__ab__group__add__abs( X ),
% 3.09/3.50 c_Groups_Oabs__class_Oabs( X, c_Groups_Oabs__class_Oabs( X, Y ) ) =
% 3.09/3.50 c_Groups_Oabs__class_Oabs( X, Y ) }.
% 3.09/3.50 (20920) {G0,W16,D4,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_Int_Oint, Y, c_Int_OPls ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) }.
% 3.09/3.50 (20921) {G0,W20,D4,L3,V2,M3} { c_Orderings_Oord__class_Oless( tc_Int_Oint
% 3.09/3.50 , Y, c_Int_OPls ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 3.09/3.50 c_Int_OPls ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) }.
% 3.09/3.50 (20922) {G0,W23,D4,L3,V2,M3} { c_Orderings_Oord__class_Oless( tc_Int_Oint
% 3.09/3.50 , Y, c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 3.09/3.50 c_Int_OPls ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 3.09/3.50 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 3.09/3.50 (20923) {G0,W9,D4,L2,V2,M2} { ! class_Groups_Ocomm__monoid__add( X ),
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, Y, c_Groups_Ozero__class_Ozero( X ) ) = Y
% 3.09/3.50 }.
% 3.09/3.50 (20924) {G0,W9,D4,L2,V2,M2} { ! class_Groups_Omonoid__add( X ),
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, Y, c_Groups_Ozero__class_Ozero( X ) ) = Y
% 3.09/3.50 }.
% 3.09/3.50 (20925) {G0,W13,D3,L3,V2,M3} { ! class_Groups_Olinordered__ab__group__add
% 3.09/3.50 ( X ), ! c_Groups_Ozero__class_Ozero( X ) = c_Groups_Oplus__class_Oplus(
% 3.09/3.50 X, Y, Y ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.50 (20926) {G0,W13,D3,L3,V2,M3} { ! class_Groups_Olinordered__ab__group__add
% 3.09/3.50 ( X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) = c_Groups_Oplus__class_Oplus( X, Y, Y )
% 3.09/3.50 }.
% 3.09/3.50 (20927) {G0,W9,D4,L2,V2,M2} { ! class_Groups_Ocomm__monoid__add( X ),
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, c_Groups_Ozero__class_Ozero( X ), Y ) = Y
% 3.09/3.50 }.
% 3.09/3.50 (20928) {G0,W9,D4,L2,V2,M2} { ! class_Groups_Omonoid__add( X ),
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, c_Groups_Ozero__class_Ozero( X ), Y ) = Y
% 3.09/3.50 }.
% 3.09/3.50 (20929) {G0,W16,D3,L3,V4,M3} { !
% 3.09/3.50 class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 3.09/3.50 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 3.09/3.50 (20930) {G0,W16,D3,L3,V4,M3} { !
% 3.09/3.50 class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 3.09/3.50 T ), c_Groups_Oplus__class_Oplus( X, Y, T ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 3.09/3.50 (20931) {G0,W20,D3,L4,V5,M4} { ! class_Groups_Oordered__ab__semigroup__add
% 3.09/3.50 ( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 3.09/3.50 U ), c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 3.09/3.50 (20932) {G0,W16,D3,L3,V4,M3} { ! class_Groups_Oordered__ab__semigroup__add
% 3.09/3.50 ( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 3.09/3.50 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 3.09/3.50 (20933) {G0,W16,D3,L3,V4,M3} { ! class_Groups_Oordered__ab__semigroup__add
% 3.09/3.50 ( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 3.09/3.50 T ), c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 3.09/3.50 (20934) {G0,W16,D3,L3,V4,M3} { !
% 3.09/3.50 class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 3.09/3.50 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 3.09/3.50 (20935) {G0,W16,D3,L3,V4,M3} { !
% 3.09/3.50 class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 3.09/3.50 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 3.09/3.50 (20936) {G0,W16,D3,L3,V4,M3} { !
% 3.09/3.50 class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 3.09/3.50 Z ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 3.09/3.50 (20937) {G0,W16,D3,L3,V4,M3} { !
% 3.09/3.50 class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 3.09/3.50 Z ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 3.09/3.50 (20938) {G0,W16,D3,L3,V4,M3} { !
% 3.09/3.50 class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 3.09/3.50 , c_Groups_Oplus__class_Oplus( X, T, Y ) ), c_Orderings_Oord__class_Oless
% 3.09/3.50 ( X, Z, Y ) }.
% 3.09/3.50 (20939) {G0,W16,D3,L3,V4,M3} { !
% 3.09/3.50 class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Z, T )
% 3.09/3.50 , c_Groups_Oplus__class_Oplus( X, Y, T ) ), c_Orderings_Oord__class_Oless
% 3.09/3.50 ( X, Z, Y ) }.
% 3.09/3.50 (20940) {G0,W20,D3,L4,V5,M4} { !
% 3.09/3.50 class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 3.09/3.50 ( X, U, T ), c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, Z, U ), c_Groups_Oplus__class_Oplus( X, Y
% 3.09/3.50 , T ) ) }.
% 3.09/3.50 (20941) {G0,W16,D3,L3,V4,M3} { !
% 3.09/3.50 class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 3.09/3.50 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 3.09/3.50 , T, Y ) ) }.
% 3.09/3.50 (20942) {G0,W16,D3,L3,V4,M3} { !
% 3.09/3.50 class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 3.09/3.50 X, c_Groups_Oplus__class_Oplus( X, Z, T ), c_Groups_Oplus__class_Oplus( X
% 3.09/3.50 , Y, T ) ) }.
% 3.09/3.50 (20943) {G0,W16,D3,L3,V4,M3} { !
% 3.09/3.50 class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 3.09/3.50 , c_Groups_Oplus__class_Oplus( X, T, Y ) ), c_Orderings_Oord__class_Oless
% 3.09/3.50 ( X, Z, Y ) }.
% 3.09/3.50 (20944) {G0,W16,D3,L3,V4,M3} { !
% 3.09/3.50 class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 3.09/3.50 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 3.09/3.50 , T, Y ) ) }.
% 3.09/3.50 (20945) {G0,W16,D3,L3,V4,M3} { !
% 3.09/3.50 class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 3.09/3.50 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ), c_Orderings_Oord__class_Oless
% 3.09/3.50 ( X, T, Y ) }.
% 3.09/3.50 (20946) {G0,W16,D3,L3,V4,M3} { !
% 3.09/3.50 class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, T, Y ), c_Orderings_Oord__class_Oless(
% 3.09/3.50 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 3.09/3.50 , Y, Z ) ) }.
% 3.09/3.50 (20947) {G0,W12,D3,L3,V3,M3} { ! class_Groups_Ogroup__add( X ), !
% 3.09/3.50 c_Groups_Ominus__class_Ominus( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X
% 3.09/3.50 ), Z = Y }.
% 3.09/3.50 (20948) {G0,W12,D3,L3,V3,M3} { ! class_Groups_Ogroup__add( X ), ! Z = Y,
% 3.09/3.50 c_Groups_Ominus__class_Ominus( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X
% 3.09/3.50 ) }.
% 3.09/3.50 (20949) {G0,W12,D3,L3,V3,M3} { ! class_Groups_Oab__group__add( X ), ! Z =
% 3.09/3.50 Y, c_Groups_Ominus__class_Ominus( X, Z, Y ) = c_Groups_Ozero__class_Ozero
% 3.09/3.50 ( X ) }.
% 3.09/3.50 (20950) {G0,W12,D3,L3,V3,M3} { ! class_Groups_Oab__group__add( X ), !
% 3.09/3.50 c_Groups_Ominus__class_Ominus( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X
% 3.09/3.50 ), Z = Y }.
% 3.09/3.50 (20951) {G0,W9,D3,L2,V2,M2} { ! class_Groups_Ogroup__add( X ),
% 3.09/3.50 c_Groups_Ominus__class_Ominus( X, Y, Y ) = c_Groups_Ozero__class_Ozero( X
% 3.09/3.50 ) }.
% 3.09/3.50 (20952) {G0,W9,D4,L2,V2,M2} { ! class_Groups_Ogroup__add( X ),
% 3.09/3.50 c_Groups_Ominus__class_Ominus( X, Y, c_Groups_Ozero__class_Ozero( X ) ) =
% 3.09/3.50 Y }.
% 3.09/3.50 (20953) {G0,W19,D3,L4,V5,M4} { ! class_Groups_Oordered__ab__group__add( X
% 3.09/3.50 ), ! c_Groups_Ominus__class_Ominus( X, U, T ) =
% 3.09/3.50 c_Groups_Ominus__class_Ominus( X, Z, Y ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 3.09/3.50 (20954) {G0,W19,D3,L4,V5,M4} { ! class_Groups_Oordered__ab__group__add( X
% 3.09/3.50 ), ! c_Groups_Ominus__class_Ominus( X, U, T ) =
% 3.09/3.50 c_Groups_Ominus__class_Ominus( X, Z, Y ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, U, T ) }.
% 3.09/3.50 (20955) {G0,W19,D3,L4,V5,M4} { ! class_Groups_Oordered__ab__group__add( X
% 3.09/3.50 ), ! c_Groups_Ominus__class_Ominus( X, U, T ) =
% 3.09/3.50 c_Groups_Ominus__class_Ominus( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 3.09/3.50 ( X, U, T ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 3.09/3.50 (20956) {G0,W19,D3,L4,V5,M4} { ! class_Groups_Oordered__ab__group__add( X
% 3.09/3.50 ), ! c_Groups_Ominus__class_Ominus( X, U, T ) =
% 3.09/3.50 c_Groups_Ominus__class_Ominus( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 3.09/3.50 ( X, Z, Y ), c_Orderings_Oord__class_Oless( X, U, T ) }.
% 3.09/3.50 (20957) {G0,W11,D4,L2,V3,M2} { ! class_Groups_Ogroup__add( X ),
% 3.09/3.50 c_Groups_Ominus__class_Ominus( X, c_Groups_Oplus__class_Oplus( X, Z, Y )
% 3.09/3.50 , Y ) = Z }.
% 3.09/3.50 (20958) {G0,W11,D4,L2,V3,M2} { ! class_Groups_Ogroup__add( X ),
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, c_Groups_Ominus__class_Ominus( X, Z, Y )
% 3.09/3.50 , Y ) = Z }.
% 3.09/3.50 (20959) {G0,W12,D3,L3,V2,M3} { !
% 3.09/3.50 class_Groups_Oordered__ab__group__add__abs( X ), !
% 3.09/3.50 c_Groups_Oabs__class_Oabs( X, Y ) = c_Groups_Ozero__class_Ozero( X ), Y =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.50 (20960) {G0,W12,D3,L3,V2,M3} { !
% 3.09/3.50 class_Groups_Oordered__ab__group__add__abs( X ), ! Y =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oabs__class_Oabs( X, Y ) =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.50 (20961) {G0,W9,D4,L2,V1,M2} { ! class_Groups_Oordered__ab__group__add__abs
% 3.09/3.50 ( X ), c_Groups_Oabs__class_Oabs( X, c_Groups_Ozero__class_Ozero( X ) ) =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.50 (20962) {G0,W12,D3,L3,V3,M3} { !
% 3.09/3.50 class_Groups_Oordered__ab__group__add__abs( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 3.09/3.50 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 3.09/3.50 (20963) {G0,W8,D3,L2,V2,M2} { ! class_Groups_Oordered__ab__group__add__abs
% 3.09/3.50 ( X ), c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Oabs__class_Oabs
% 3.09/3.50 ( X, Y ) ) }.
% 3.09/3.50 (20964) {G0,W12,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, Y, X ), c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X )
% 3.09/3.50 , c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 3.09/3.50 (20965) {G0,W12,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X )
% 3.09/3.50 , c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 3.09/3.50 (20966) {G0,W11,D2,L3,V2,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, Y, X ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal
% 3.09/3.50 , Y, X ), Y = X }.
% 3.09/3.50 (20967) {G0,W8,D2,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_RealDef_Oreal, Y, X ), c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, Y, X ) }.
% 3.09/3.50 (20968) {G0,W7,D2,L2,V2,M2} { ! Y = X, c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, Y, X ) }.
% 3.09/3.50 (20969) {G0,W8,D2,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_RealDef_Oreal, Y, X ), c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, Y, X ) }.
% 3.09/3.50 (20970) {G0,W7,D2,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_RealDef_Oreal, Y, X ), ! Y = X }.
% 3.09/3.50 (20971) {G0,W11,D2,L3,V2,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, Y, X ), Y = X, c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_RealDef_Oreal, Y, X ) }.
% 3.09/3.50 (20972) {G0,W21,D5,L2,V3,M2} { !
% 3.09/3.50 class_Groups_Oordered__ab__group__add__abs( X ),
% 3.09/3.50 c_Groups_Oabs__class_Oabs( X, c_Groups_Oplus__class_Oplus( X,
% 3.09/3.50 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ) )
% 3.09/3.50 = c_Groups_Oplus__class_Oplus( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 3.09/3.50 c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 3.09/3.50 (20973) {G0,W15,D4,L2,V3,M2} { !
% 3.09/3.50 class_Groups_Oordered__ab__group__add__abs( X ),
% 3.09/3.50 c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Z, Y ) )
% 3.09/3.50 = c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Y, Z )
% 3.09/3.50 ) }.
% 3.09/3.50 (20974) {G0,W16,D3,L3,V3,M3} { X = c_Groups_Ozero__class_Ozero(
% 3.09/3.50 tc_RealDef_Oreal ), ! c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X
% 3.09/3.50 , Z ) = c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ), Z = Y
% 3.09/3.50 }.
% 3.09/3.50 (20975) {G0,W16,D3,L3,V3,M3} { X = c_Groups_Ozero__class_Ozero(
% 3.09/3.50 tc_RealDef_Oreal ), ! Z = Y, c_Groups_Otimes__class_Otimes(
% 3.09/3.50 tc_RealDef_Oreal, X, Z ) = c_Groups_Otimes__class_Otimes(
% 3.09/3.50 tc_RealDef_Oreal, X, Y ) }.
% 3.09/3.50 (20976) {G0,W16,D3,L3,V3,M3} { X = c_Groups_Ozero__class_Ozero(
% 3.09/3.50 tc_RealDef_Oreal ), ! c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z
% 3.09/3.50 , X ) = c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ), Z = Y
% 3.09/3.50 }.
% 3.09/3.50 (20977) {G0,W16,D3,L3,V3,M3} { X = c_Groups_Ozero__class_Ozero(
% 3.09/3.50 tc_RealDef_Oreal ), ! Z = Y, c_Groups_Otimes__class_Otimes(
% 3.09/3.50 tc_RealDef_Oreal, Z, X ) = c_Groups_Otimes__class_Otimes(
% 3.09/3.50 tc_RealDef_Oreal, Y, X ) }.
% 3.09/3.50 (20978) {G0,W14,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, Y, X ), c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, Y ),
% 3.09/3.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, X ) ) }.
% 3.09/3.50 (20979) {G0,W18,D4,L1,V3,M1} { c_Groups_Otimes__class_Otimes(
% 3.09/3.50 tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, Y ),
% 3.09/3.50 X ) = c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 3.09/3.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 3.09/3.50 (20980) {G0,W15,D3,L3,V2,M3} { ! class_Groups_Olinordered__ab__group__add
% 3.09/3.50 ( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Y )
% 3.09/3.50 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 3.09/3.50 ), Y ) }.
% 3.09/3.50 (20981) {G0,W15,D3,L3,V2,M3} { ! class_Groups_Olinordered__ab__group__add
% 3.09/3.50 ( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless__eq
% 3.09/3.50 ( X, c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y
% 3.09/3.50 , Y ) ) }.
% 3.09/3.50 (20982) {G0,W15,D3,L3,V2,M3} { ! class_Groups_Olinordered__ab__group__add
% 3.09/3.50 ( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, Y, Y ), c_Groups_Ozero__class_Ozero( X )
% 3.09/3.50 ), c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero
% 3.09/3.50 ( X ) ) }.
% 3.09/3.50 (20983) {G0,W15,D3,L3,V2,M3} { ! class_Groups_Olinordered__ab__group__add
% 3.09/3.50 ( X ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 3.09/3.50 , c_Groups_Oplus__class_Oplus( X, Y, Y ), c_Groups_Ozero__class_Ozero( X
% 3.09/3.50 ) ) }.
% 3.09/3.50 (20984) {G0,W20,D3,L4,V3,M4} { ! class_Groups_Oordered__comm__monoid__add
% 3.09/3.50 ( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Y ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 3.09/3.50 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 3.09/3.50 ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 3.09/3.50 (20985) {G0,W23,D3,L5,V3,M5} { ! class_Groups_Oordered__comm__monoid__add
% 3.09/3.50 ( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Y ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 3.09/3.50 ), ! c_Groups_Oplus__class_Oplus( X, Y, Z ) =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 3.09/3.50 }.
% 3.09/3.50 (20986) {G0,W23,D3,L5,V3,M5} { ! class_Groups_Oordered__comm__monoid__add
% 3.09/3.50 ( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Y ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 3.09/3.50 ), ! c_Groups_Oplus__class_Oplus( X, Y, Z ) =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X )
% 3.09/3.50 }.
% 3.09/3.50 (20987) {G0,W27,D3,L6,V3,M6} { ! class_Groups_Oordered__comm__monoid__add
% 3.09/3.50 ( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Y ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 3.09/3.50 ), ! Y = c_Groups_Ozero__class_Ozero( X ), ! Z =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Z )
% 3.09/3.50 = c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.50 (20988) {G0,W18,D3,L4,V4,M4} { ! class_Groups_Oordered__comm__monoid__add
% 3.09/3.50 ( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Y ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oplus__class_Oplus( X,
% 3.09/3.50 Y, Z ) ) }.
% 3.09/3.50 (20989) {G0,W18,D3,L4,V4,M4} { ! class_Groups_Oordered__comm__monoid__add
% 3.09/3.50 ( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Y ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oplus__class_Oplus( X,
% 3.09/3.50 Z, Y ) ) }.
% 3.09/3.50 (20990) {G0,W20,D3,L4,V3,M4} { ! class_Groups_Oordered__comm__monoid__add
% 3.09/3.50 ( X ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Y,
% 3.09/3.50 Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 3.09/3.50 (20991) {G0,W15,D3,L3,V2,M3} { ! class_Groups_Olinordered__ab__group__add
% 3.09/3.50 ( X ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X
% 3.09/3.50 ), c_Groups_Oplus__class_Oplus( X, Y, Y ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 3.09/3.50 }.
% 3.09/3.50 (20992) {G0,W15,D3,L3,V2,M3} { ! class_Groups_Olinordered__ab__group__add
% 3.09/3.50 ( X ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X
% 3.09/3.50 ), Y ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X
% 3.09/3.50 ), c_Groups_Oplus__class_Oplus( X, Y, Y ) ) }.
% 3.09/3.50 (20993) {G0,W15,D3,L3,V2,M3} { ! class_Groups_Olinordered__ab__group__add
% 3.09/3.50 ( X ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X
% 3.09/3.50 , Y, Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 3.09/3.50 }.
% 3.09/3.50 (20994) {G0,W15,D3,L3,V2,M3} { ! class_Groups_Olinordered__ab__group__add
% 3.09/3.50 ( X ), ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero
% 3.09/3.50 ( X ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X
% 3.09/3.50 , Y, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 3.09/3.50 (20995) {G0,W20,D3,L4,V3,M4} { ! class_Groups_Oordered__comm__monoid__add
% 3.09/3.50 ( X ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X
% 3.09/3.50 ), Y ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero
% 3.09/3.50 ( X ), Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero
% 3.09/3.50 ( X ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 3.09/3.50 (20996) {G0,W20,D3,L4,V3,M4} { ! class_Groups_Oordered__comm__monoid__add
% 3.09/3.50 ( X ), ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero
% 3.09/3.50 ( X ) ), ! c_Orderings_Oord__class_Oless( X, Z,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, Y, Z ), c_Groups_Ozero__class_Ozero( X )
% 3.09/3.50 ) }.
% 3.09/3.50 (20997) {G0,W20,D3,L4,V5,M4} { !
% 3.09/3.50 class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Z, U )
% 3.09/3.50 , c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 3.09/3.50 (20998) {G0,W20,D3,L4,V5,M4} { !
% 3.09/3.50 class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, U, T ), c_Orderings_Oord__class_Oless(
% 3.09/3.50 X, c_Groups_Oplus__class_Oplus( X, Z, U ), c_Groups_Oplus__class_Oplus( X
% 3.09/3.50 , Y, T ) ) }.
% 3.09/3.50 (20999) {G0,W14,D3,L3,V3,M3} { ! class_Groups_Oordered__ab__group__add( X
% 3.09/3.50 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X, Z
% 3.09/3.50 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 3.09/3.50 (21000) {G0,W14,D3,L3,V3,M3} { ! class_Groups_Oordered__ab__group__add( X
% 3.09/3.50 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus
% 3.09/3.50 ( X, Z, Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 3.09/3.50 (21001) {G0,W14,D3,L3,V3,M3} { ! class_Groups_Oordered__ab__group__add( X
% 3.09/3.50 ), ! c_Orderings_Oord__class_Oless( X, Z, Y ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ominus__class_Ominus( X, Z, Y
% 3.09/3.50 ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 3.09/3.50 (21002) {G0,W14,D3,L3,V3,M3} { ! class_Groups_Oordered__ab__group__add( X
% 3.09/3.50 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ominus__class_Ominus( X
% 3.09/3.50 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 3.09/3.50 (21003) {G0,W29,D5,L2,V5,M2} { ! class_Rings_Oring( X ),
% 3.09/3.50 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, U, T
% 3.09/3.50 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U,
% 3.09/3.50 c_Groups_Ominus__class_Ominus( X, T, Y ) ), c_Groups_Otimes__class_Otimes
% 3.09/3.50 ( X, c_Groups_Ominus__class_Ominus( X, U, Z ), Y ) ) }.
% 3.09/3.50 (21004) {G0,W12,D3,L3,V2,M3} { !
% 3.09/3.50 class_Groups_Oordered__ab__group__add__abs( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 3.09/3.50 ), c_Groups_Oabs__class_Oabs( X, Y ) = Y }.
% 3.09/3.50 (21005) {G0,W13,D3,L3,V2,M3} { !
% 3.09/3.50 class_Groups_Oordered__ab__group__add__abs( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Y ),
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) ), Y = c_Groups_Ozero__class_Ozero( X )
% 3.09/3.50 }.
% 3.09/3.50 (21006) {G0,W13,D3,L3,V2,M3} { !
% 3.09/3.50 class_Groups_Oordered__ab__group__add__abs( X ), ! Y =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Groups_Oabs__class_Oabs( X, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 3.09/3.50 (21007) {G0,W9,D3,L2,V2,M2} { ! class_Groups_Oordered__ab__group__add__abs
% 3.09/3.50 ( X ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 3.09/3.50 ( X ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 3.09/3.50 (21008) {G0,W12,D3,L3,V2,M3} { !
% 3.09/3.50 class_Groups_Oordered__ab__group__add__abs( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 3.09/3.50 c_Groups_Oabs__class_Oabs( X, Y ) = Y }.
% 3.09/3.50 (21009) {G0,W13,D3,L3,V2,M3} { !
% 3.09/3.50 class_Groups_Oordered__ab__group__add__abs( X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.50 c_Groups_Oabs__class_Oabs( X, Y ) ), ! Y = c_Groups_Ozero__class_Ozero( X
% 3.09/3.50 ) }.
% 3.09/3.50 (21010) {G0,W13,D3,L3,V2,M3} { !
% 3.09/3.50 class_Groups_Oordered__ab__group__add__abs( X ), Y =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 3.09/3.50 (21011) {G0,W9,D3,L2,V2,M2} { ! class_Groups_Oordered__ab__group__add__abs
% 3.09/3.50 ( X ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Oabs__class_Oabs( X,
% 3.09/3.50 Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 3.09/3.50 (21012) {G0,W18,D4,L2,V3,M2} { !
% 3.09/3.50 class_Groups_Oordered__ab__group__add__abs( X ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, Z, Y ) ), c_Groups_Oplus__class_Oplus( X
% 3.09/3.50 , c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) )
% 3.09/3.50 ) }.
% 3.09/3.50 (21013) {G0,W21,D4,L6,V3,M6} { ! class_Power_Opower( X ), !
% 3.09/3.50 class_Rings_Omult__zero( X ), ! class_Rings_Ono__zero__divisors( X ), !
% 3.09/3.50 class_Rings_Ozero__neq__one( X ), ! c_Power_Opower__class_Opower( X, Z,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) ) =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X )
% 3.09/3.50 }.
% 3.09/3.50 (21014) {G0,W23,D4,L6,V3,M6} { ! class_Power_Opower( X ), !
% 3.09/3.50 class_Rings_Omult__zero( X ), ! class_Rings_Ono__zero__divisors( X ), !
% 3.09/3.50 class_Rings_Ozero__neq__one( X ), ! c_Power_Opower__class_Opower( X, Z,
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) ) =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), ! c_Int_Onumber__class_Onumber__of(
% 3.09/3.50 tc_Nat_Onat, Y ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 3.09/3.50 (21015) {G0,W27,D4,L7,V3,M7} { ! class_Power_Opower( X ), !
% 3.09/3.50 class_Rings_Omult__zero( X ), ! class_Rings_Ono__zero__divisors( X ), !
% 3.09/3.50 class_Rings_Ozero__neq__one( X ), ! Z = c_Groups_Ozero__class_Ozero( X )
% 3.09/3.50 , c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 3.09/3.50 ( X, Z, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) ) =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.50 (21016) {G0,W18,D4,L2,V3,M2} { !
% 3.09/3.50 class_Groups_Oordered__ab__group__add__abs( X ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X,
% 3.09/3.50 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ),
% 3.09/3.50 c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Y, Z ) )
% 3.09/3.50 ) }.
% 3.09/3.50 (21017) {G0,W18,D4,L2,V3,M2} { !
% 3.09/3.50 class_Groups_Oordered__ab__group__add__abs( X ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X,
% 3.09/3.50 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ),
% 3.09/3.50 c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Z, Y ) )
% 3.09/3.50 ) }.
% 3.09/3.50 (21018) {G0,W20,D5,L2,V3,M2} { !
% 3.09/3.50 class_Groups_Oordered__ab__group__add__abs( X ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 3.09/3.50 c_Groups_Ominus__class_Ominus( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 3.09/3.50 c_Groups_Oabs__class_Oabs( X, Y ) ) ), c_Groups_Oabs__class_Oabs( X,
% 3.09/3.50 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) ) }.
% 3.09/3.50 (21019) {G0,W19,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ),
% 3.09/3.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) }.
% 3.09/3.50 (21020) {G0,W18,D3,L3,V2,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 3.09/3.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) }.
% 3.09/3.50 (21021) {G0,W19,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 3.09/3.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ) }.
% 3.09/3.50 (21022) {G0,W19,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.50 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 3.09/3.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 3.09/3.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 3.09/3.50 (21023) {G0,W11,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ), alpha28( X,
% 3.09/3.50 Y ) }.
% 3.09/3.50 (21024) {G0,W11,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ), alpha60( X,
% 3.09/3.50 Y ) }.
% 3.09/3.50 (21025) {G0,W14,D3,L3,V2,M3} { ! alpha28( X, Y ), ! alpha60( X, Y ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ) }.
% 3.09/3.50 (21026) {G0,W13,D3,L3,V2,M3} { ! alpha60( X, Y ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 3.09/3.50 (21027) {G0,W8,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 3.09/3.50 alpha60( X, Y ) }.
% 3.09/3.50 (21028) {G0,W8,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, X, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 3.09/3.50 alpha60( X, Y ) }.
% 3.09/3.50 (21029) {G0,W13,D3,L3,V2,M3} { ! alpha28( X, Y ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 3.09/3.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }.
% 3.09/3.50 (21030) {G0,W8,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, Y, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 3.09/3.50 alpha28( X, Y ) }.
% 3.09/3.50 (21031) {G0,W8,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 3.09/3.50 alpha28( X, Y ) }.
% 3.09/3.50 (21032) {G0,W17,D4,L2,V2,M2} { ! c_Groups_Oplus__class_Oplus(
% 3.09/3.50 tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y )
% 3.09/3.50 , c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 3.09/3.50 (21033) {G0,W17,D4,L2,V2,M2} { ! c_Groups_Oplus__class_Oplus(
% 3.09/3.50 tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y )
% 3.09/3.50 , c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 3.09/3.50 (21034) {G0,W21,D4,L3,V2,M3} { ! Y = c_Groups_Ozero__class_Ozero(
% 3.09/3.50 tc_RealDef_Oreal ), ! X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal )
% 3.09/3.50 , c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 3.09/3.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 3.09/3.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 3.09/3.50 (21035) {G0,W20,D3,L4,V3,M4} { ! class_Groups_Oordered__comm__monoid__add
% 3.09/3.50 ( X ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X
% 3.09/3.50 ), Y ), ! c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Z )
% 3.09/3.50 ) }.
% 3.09/3.50 (21036) {G0,W20,D3,L4,V3,M4} { ! class_Groups_Oordered__comm__monoid__add
% 3.09/3.50 ( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless( X
% 3.09/3.50 , c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless( X
% 3.09/3.50 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Z
% 3.09/3.50 ) ) }.
% 3.09/3.50 (21037) {G0,W18,D3,L4,V4,M4} { ! class_Groups_Oordered__comm__monoid__add
% 3.09/3.50 ( X ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X
% 3.09/3.50 ), Y ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 3.09/3.50 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Y, Z
% 3.09/3.50 ) ) }.
% 3.09/3.50 (21038) {G0,W18,D3,L4,V4,M4} { ! class_Groups_Oordered__comm__monoid__add
% 3.09/3.50 ( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless( X
% 3.09/3.50 , T, Z ), c_Orderings_Oord__class_Oless( X, T,
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 3.09/3.50 (21039) {G0,W20,D3,L4,V3,M4} { ! class_Groups_Oordered__comm__monoid__add
% 3.09/3.50 ( X ), ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero
% 3.09/3.50 ( X ) ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, Y, Z ), c_Groups_Ozero__class_Ozero( X )
% 3.09/3.50 ) }.
% 3.09/3.50 (21040) {G0,W20,D3,L4,V3,M4} { ! class_Groups_Oordered__comm__monoid__add
% 3.09/3.50 ( X ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 3.09/3.50 c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless( X, Z
% 3.09/3.50 , c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 3.09/3.50 c_Groups_Oplus__class_Oplus( X, Y, Z ), c_Groups_Ozero__class_Ozero( X )
% 3.09/3.50 ) }.
% 3.09/3.50 (21041) {G0,W15,D6,L2,V0,M2} { ! v_y____ = c_Groups_Ozero__class_Ozero(
% 3.09/3.50 tc_RealDef_Oreal ), c_Power_Opower__class_Opower( tc_Complex_Ocomplex,
% 3.09/3.50 c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt( v_z ),
% 3.09/3.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.50 c_Int_OPls ) ) ) ) = v_z }.
% 3.09/3.50 (21042) {G0,W52,D9,L1,V0,M1} { c_NthRoot_Osqrt(
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 3.09/3.50 c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 3.09/3.50 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_NthRoot_Osqrt(
% 3.09/3.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_x____, v_x____ ),
% 3.09/3.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_y____, v_y____ ) ) ),
% 3.09/3.50 v_x____ ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0(
% 3.09/3.50 c_Int_OBit1( c_Int_OPls ) ) ) ), c_Int_Onumber__class_Onumber__of(
% 3.09/3.50 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) )
% 3.09/3.50 ) ) ) = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 3.09/3.50 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_NthRoot_Osqrt(
% 3.09/3.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_x____, v_x____ ),
% 3.09/3.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_y____, v_y____ ) ) ),
% 3.09/3.50 v_x____ ), c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 3.09/3.50 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 3.09/3.50 (21043) {G0,W25,D7,L1,V0,M1} { c_Orderings_Oord__class_Oless__eq(
% 3.09/3.50 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 3.09/3.50 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_NthRoot_Osqrt(
% 3.09/3.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 3.09/3.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_x____, v_x____ ),
% 3.09/3.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_y____, v_y____ ) ) ),
% 3.09/3.50 v_x____ ), c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 3.09/3.50 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 3.09/3.50 (21044) {G0,W52,D9,L1,V0,M1} { c_NthRoot_Osqrt(
% 3.09/3.50 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 3.09/3.50 c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 3.09/3.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_NthRoot_Osqrt(
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_x____, v_x____ ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_y____, v_y____ ) ) ),
% 3.09/3.51 v_x____ ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0(
% 3.09/3.51 c_Int_OBit1( c_Int_OPls ) ) ) ), c_Int_Onumber__class_Onumber__of(
% 3.09/3.51 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) )
% 3.09/3.51 ) ) ) = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_NthRoot_Osqrt(
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_x____, v_x____ ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_y____, v_y____ ) ) ),
% 3.09/3.51 v_x____ ), c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 3.09/3.51 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 3.09/3.51 (21045) {G0,W25,D7,L1,V0,M1} { c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 3.09/3.51 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_NthRoot_Osqrt(
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_x____, v_x____ ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_y____, v_y____ ) ) ),
% 3.09/3.51 v_x____ ), c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 3.09/3.51 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 3.09/3.51 (21046) {G0,W82,D10,L1,V0,M1} { c_Groups_Ominus__class_Ominus(
% 3.09/3.51 tc_RealDef_Oreal, c_NthRoot_Osqrt( c_Rings_Oinverse__class_Odivide(
% 3.09/3.51 tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_NthRoot_Osqrt(
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_x____, v_x____ ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_y____, v_y____ ) ) ),
% 3.09/3.51 v_x____ ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_NthRoot_Osqrt
% 3.09/3.51 ( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_x____, v_x____ ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_y____, v_y____ ) ) ),
% 3.09/3.51 v_x____ ) ), c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 3.09/3.51 c_Int_OBit0( c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ),
% 3.09/3.51 c_NthRoot_Osqrt( c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_NthRoot_Osqrt(
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_x____, v_x____ ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_y____, v_y____ ) ) ),
% 3.09/3.51 v_x____ ), c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 3.09/3.51 c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_x____, v_x____ ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_y____, v_y____ ) ) ),
% 3.09/3.51 v_x____ ) ), c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 3.09/3.51 c_Int_OBit0( c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ) ) = v_x____
% 3.09/3.51 }.
% 3.09/3.51 (21047) {G0,W5,D3,L1,V0,M1} { v_z = c_Complex_Ocomplex_OComplex( v_x____,
% 3.09/3.51 v_y____ ) }.
% 3.09/3.51 (21048) {G0,W9,D5,L1,V0,M1} { c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.51 c_Int_OPls ) ) ) ) }.
% 3.09/3.51 (21049) {G0,W48,D4,L7,V6,M7} { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint
% 3.09/3.51 , c_Groups_Otimes__class_Otimes( tc_Int_Oint, W, U ), T ) =
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Int_Oint, Z, Y ), X ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Int_Oint, Z, Y ), X ), c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Int_Oint, T, W ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_Int_Oint ), Z ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z,
% 3.09/3.51 W ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, U ) }.
% 3.09/3.51 (21050) {G0,W33,D4,L5,V5,M5} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Int_Oint, U, T ), Z ),
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Int_Oint, U, Y ), X ) ), ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Int_Oint, X, c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Int_Oint, U, X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Int_Oint, U, Z ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, T ) }.
% 3.09/3.51 (21051) {G0,W48,D4,L7,V6,M7} { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint
% 3.09/3.51 , c_Groups_Otimes__class_Otimes( tc_Int_Oint, W, U ), T ) =
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Int_Oint, Z, Y ), X ), ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Int_Oint, Z, Y ), X ) ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint
% 3.09/3.51 , X, Z ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), T ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_Int_Oint ), Z ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z,
% 3.09/3.51 W ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, U, Y ) }.
% 3.09/3.51 (21052) {G0,W10,D3,L2,V2,M2} { ! c_Complex_Ocomplex_OComplex( Y, X ) =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Complex_Ocomplex ), Y =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 3.09/3.51 (21053) {G0,W10,D3,L2,V2,M2} { ! c_Complex_Ocomplex_OComplex( Y, X ) =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Complex_Ocomplex ), X =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 3.09/3.51 (21054) {G0,W14,D3,L3,V2,M3} { ! Y = c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_RealDef_Oreal ), ! X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal )
% 3.09/3.51 , c_Complex_Ocomplex_OComplex( Y, X ) = c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_Complex_Ocomplex ) }.
% 3.09/3.51 (21055) {G0,W8,D4,L1,V0,M1} { c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_Complex_Ocomplex ) = c_Complex_Ocomplex_OComplex(
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 3.09/3.51 (21056) {G0,W18,D4,L1,V4,M1} { c_Groups_Oplus__class_Oplus(
% 3.09/3.51 tc_Complex_Ocomplex, c_Complex_Ocomplex_OComplex( T, Z ),
% 3.09/3.51 c_Complex_Ocomplex_OComplex( Y, X ) ) = c_Complex_Ocomplex_OComplex(
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, T, Y ),
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, X ) ) }.
% 3.09/3.51 (21057) {G0,W18,D4,L1,V4,M1} { c_Groups_Ominus__class_Ominus(
% 3.09/3.51 tc_Complex_Ocomplex, c_Complex_Ocomplex_OComplex( T, Z ),
% 3.09/3.51 c_Complex_Ocomplex_OComplex( Y, X ) ) = c_Complex_Ocomplex_OComplex(
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, T, Y ),
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Z, X ) ) }.
% 3.09/3.51 (21058) {G0,W10,D3,L2,V4,M2} { ! c_Complex_Ocomplex_OComplex( T, Z ) =
% 3.09/3.51 c_Complex_Ocomplex_OComplex( Y, X ), T = Y }.
% 3.09/3.51 (21059) {G0,W10,D3,L2,V4,M2} { ! c_Complex_Ocomplex_OComplex( T, Z ) =
% 3.09/3.51 c_Complex_Ocomplex_OComplex( Y, X ), Z = X }.
% 3.09/3.51 (21060) {G0,W13,D3,L3,V4,M3} { ! T = Y, ! Z = X,
% 3.09/3.51 c_Complex_Ocomplex_OComplex( T, Z ) = c_Complex_Ocomplex_OComplex( Y, X )
% 3.09/3.51 }.
% 3.09/3.51 (21061) {G0,W12,D3,L2,V3,M2} { ! c_Complex_Ocomplex_OComplex( Z, Y ) =
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( tc_Complex_Ocomplex, X ), Z =
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, X ) }.
% 3.09/3.51 (21062) {G0,W11,D3,L2,V3,M2} { ! c_Complex_Ocomplex_OComplex( Z, Y ) =
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( tc_Complex_Ocomplex, X ), Y =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 3.09/3.51 (21063) {G0,W16,D3,L3,V3,M3} { ! Z = c_Int_Onumber__class_Onumber__of(
% 3.09/3.51 tc_RealDef_Oreal, X ), ! Y = c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_RealDef_Oreal ), c_Complex_Ocomplex_OComplex( Z, Y ) =
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( tc_Complex_Ocomplex, X ) }.
% 3.09/3.51 (21064) {G0,W30,D5,L1,V4,M1} { c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Complex_Ocomplex, c_Complex_Ocomplex_OComplex( T, Z ),
% 3.09/3.51 c_Complex_Ocomplex_OComplex( Y, X ) ) = c_Complex_Ocomplex_OComplex(
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, T, Y ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ) ),
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, T, X ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, Y ) ) ) }.
% 3.09/3.51 (21065) {G0,W6,D3,L1,V0,M1} { c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 3.09/3.51 (21066) {G0,W18,D3,L3,V2,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oplus__class_Oplus(
% 3.09/3.51 tc_Int_Oint, X, Y ) ) }.
% 3.09/3.51 (21067) {G0,W18,D3,L3,V2,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Otimes__class_Otimes
% 3.09/3.51 ( tc_Int_Oint, X, Y ) ) }.
% 3.09/3.51 (21068) {G0,W13,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Power_Opower__class_Opower
% 3.09/3.51 ( tc_Int_Oint, X, Y ) ) }.
% 3.09/3.51 (21069) {G0,W9,D5,L1,V0,M1} { c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit1( c_Int_OBit1(
% 3.09/3.51 c_Int_OPls ) ) ) ) }.
% 3.09/3.51 (21070) {G0,W25,D4,L4,V3,M4} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Int_Oint, Z, Y ), X ) ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint
% 3.09/3.51 , X, Z ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Z ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ) }.
% 3.09/3.51 (21071) {G0,W26,D4,L4,V3,M4} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ), X ),
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_Int_Oint ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 3.09/3.51 (21072) {G0,W33,D4,L5,V5,M5} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Int_Oint, U, T ), Z ),
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Int_Oint, U, Y ), X ) ), ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Z ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, U ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, U ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, T, Y ) }.
% 3.09/3.51 (21073) {G0,W33,D5,L3,V5,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Nat_Onat, X, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), Z ) ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T ), Z ) }.
% 3.09/3.51 (21074) {G0,W33,D5,L3,V5,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 3.09/3.51 , Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Nat_Onat, X, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), Z ) ) }.
% 3.09/3.51 (21075) {G0,W33,D5,L3,V5,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Nat_Onat, Y, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ) ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 3.09/3.51 ) }.
% 3.09/3.51 (21076) {G0,W33,D5,L3,V5,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, T,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 3.09/3.51 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Nat_Onat, Y, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ) ) }.
% 3.09/3.51 (21077) {G0,W5,D3,L1,V0,M1} { v_z = c_Complex_Ocomplex_OComplex( skol2,
% 3.09/3.51 skol10 ) }.
% 3.09/3.51 (21078) {G0,W15,D4,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( X ) ) ) }.
% 3.09/3.51 (21079) {G0,W15,D4,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit1( X ) ) ) }.
% 3.09/3.51 (21080) {G0,W16,D3,L3,V3,M3} { ! c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Nat_Onat, Z, Y ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X )
% 3.09/3.51 , Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y = X }.
% 3.09/3.51 (21081) {G0,W13,D3,L2,V3,M2} { ! Z = c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_Nat_Onat ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 3.09/3.51 (21082) {G0,W12,D3,L2,V3,M2} { ! Y = X, c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Nat_Onat, Z, Y ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X )
% 3.09/3.51 }.
% 3.09/3.51 (21083) {G0,W24,D5,L1,V4,M1} { c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, T, Z ),
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Nat_Onat, Y, Z ), X ) ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 3.09/3.51 tc_Nat_Onat, T, Y ), Z ), X ) }.
% 3.09/3.51 (21084) {G0,W19,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 3.09/3.51 ( tc_Nat_Onat, X, Z ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y )
% 3.09/3.51 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ) }.
% 3.09/3.51 (21085) {G0,W19,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 3.09/3.51 ( tc_Nat_Onat, X, Z ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y )
% 3.09/3.51 ) }.
% 3.09/3.51 (21086) {G0,W17,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ), !
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ) =
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ), Z = Y }.
% 3.09/3.51 (21087) {G0,W17,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ), ! Z = Y,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ) =
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 3.09/3.51 (21088) {G0,W19,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ) }.
% 3.09/3.51 (21089) {G0,W19,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 3.09/3.51 (21090) {G0,W7,D3,L1,V0,M1} { c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OPls ) ) }.
% 3.09/3.51 (21091) {G0,W31,D5,L3,V5,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), T ) =
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Nat_Onat, X, U ), Z ), T = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 3.09/3.51 ( tc_Nat_Onat, X, Y ), U ), Z ) }.
% 3.09/3.51 (21092) {G0,W31,D5,L3,V5,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), ! T = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 3.09/3.51 ( tc_Nat_Onat, X, Y ), U ), Z ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat
% 3.09/3.51 , c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), T ) =
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Nat_Onat, X, U ), Z ) }.
% 3.09/3.51 (21093) {G0,W34,D6,L2,V5,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Nat_Onat, Y, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ) ) =
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, T,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 3.09/3.51 ) }.
% 3.09/3.51 (21094) {G0,W33,D5,L3,V5,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Nat_Onat, Y, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ) ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 3.09/3.51 ) }.
% 3.09/3.51 (21095) {G0,W33,D5,L3,V5,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T
% 3.09/3.51 , c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 3.09/3.51 ( tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z
% 3.09/3.51 ) ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Nat_Onat, Y, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ) ) }.
% 3.09/3.51 (21096) {G0,W31,D5,L3,V5,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), T ) =
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Nat_Onat, Y, U ), Z ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 3.09/3.51 ( tc_Nat_Onat, X, Y ), U ), T ) = Z }.
% 3.09/3.51 (21097) {G0,W31,D5,L3,V5,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 3.09/3.51 ( tc_Nat_Onat, X, Y ), U ), T ) = Z, c_Groups_Oplus__class_Oplus(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), T ) =
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Nat_Onat, Y, U ), Z ) }.
% 3.09/3.51 (21098) {G0,W34,D6,L2,V5,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Nat_Onat, X, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), Z ) ) =
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T ), Z ) }.
% 3.09/3.51 (21099) {G0,W33,D5,L3,V5,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Nat_Onat, X, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), Z ) ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 3.09/3.51 , Z ) }.
% 3.09/3.51 (21100) {G0,W33,D5,L3,V5,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 3.09/3.51 , Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Nat_Onat, X, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), Z ) ) }.
% 3.09/3.51 (21101) {G0,W5,D3,L1,V1,M1} { c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 3.09/3.51 (21102) {G0,W5,D3,L1,V1,M1} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 3.09/3.51 , X, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 3.09/3.51 (21103) {G0,W7,D4,L1,V2,M1} { c_Complex_Ocomplex_Ocomplex__size(
% 3.09/3.51 c_Complex_Ocomplex_OComplex( Y, X ) ) = c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_Nat_Onat ) }.
% 3.09/3.51 (21104) {G0,W11,D4,L2,V3,M2} { ! hBOOL( hAPP( Z,
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) ), ! alpha29( X, Y,
% 3.09/3.51 Z ) }.
% 3.09/3.51 (21105) {G0,W11,D4,L2,V3,M2} { ! hBOOL( hAPP( Z,
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) ), ! alpha61( X, Y,
% 3.09/3.51 Z ) }.
% 3.09/3.51 (21106) {G0,W15,D4,L3,V3,M3} { alpha29( X, Y, Z ), alpha61( X, Y, Z ),
% 3.09/3.51 hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 3.09/3.51 }.
% 3.09/3.51 (21107) {G0,W11,D4,L2,V5,M2} { ! alpha61( X, Y, Z ), ! hBOOL( hAPP( Z,
% 3.09/3.51 skol3( T, U, Z ) ) ) }.
% 3.09/3.51 (21108) {G0,W13,D4,L2,V3,M2} { ! alpha61( X, Y, Z ), Y =
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, skol3( X, Y, Z ) ) }.
% 3.09/3.51 (21109) {G0,W14,D3,L3,V4,M3} { ! Y = c_Groups_Oplus__class_Oplus(
% 3.09/3.51 tc_Nat_Onat, X, T ), hBOOL( hAPP( Z, T ) ), alpha61( X, Y, Z ) }.
% 3.09/3.51 (21110) {G0,W8,D2,L2,V3,M2} { ! alpha29( X, Y, Z ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 3.09/3.51 (21111) {G0,W9,D4,L2,V3,M2} { ! alpha29( X, Y, Z ), ! hBOOL( hAPP( Z,
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) }.
% 3.09/3.51 (21112) {G0,W13,D4,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, Y, X ), hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_Nat_Onat ) ) ), alpha29( X, Y, Z ) }.
% 3.09/3.51 (21113) {G0,W4,D2,L1,V1,M1} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 3.09/3.51 , X, X ) }.
% 3.09/3.51 (21114) {G0,W11,D2,L3,V2,M3} { Y = X, c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y )
% 3.09/3.51 }.
% 3.09/3.51 (21115) {G0,W7,D2,L2,V2,M2} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 3.09/3.51 , Y, X ), ! Y = X }.
% 3.09/3.51 (21116) {G0,W7,D2,L2,V2,M2} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 3.09/3.51 , X, Y ), ! Y = X }.
% 3.09/3.51 (21117) {G0,W11,D2,L3,V2,M3} { Y = X, c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y )
% 3.09/3.51 }.
% 3.09/3.51 (21118) {G0,W4,D2,L1,V1,M1} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 3.09/3.51 , X, X ) }.
% 3.09/3.51 (21119) {G0,W7,D2,L2,V2,M2} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 3.09/3.51 , Y, X ), ! X = Y }.
% 3.09/3.51 (21120) {G0,W7,D2,L2,V2,M2} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 3.09/3.51 , Y, X ), ! Y = X }.
% 3.09/3.51 (21121) {G0,W14,D4,L3,V3,M3} { alpha102( X, Y, Z ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z ), hBOOL( hAPP( hAPP( X
% 3.09/3.51 , Y ), Z ) ) }.
% 3.09/3.51 (21122) {G0,W16,D4,L3,V3,M3} { alpha102( X, Y, Z ), ! hBOOL( hAPP( hAPP( X
% 3.09/3.51 , Y ), Z ) ), hBOOL( hAPP( hAPP( X, Y ), Z ) ) }.
% 3.09/3.51 (21123) {G0,W11,D2,L3,V3,M3} { ! alpha102( X, Y, Z ), alpha103( X, Y, Z )
% 3.09/3.51 , Z = Y }.
% 3.09/3.51 (21124) {G0,W14,D4,L3,V3,M3} { ! alpha102( X, Y, Z ), alpha103( X, Y, Z )
% 3.09/3.51 , ! hBOOL( hAPP( hAPP( X, Y ), Z ) ) }.
% 3.09/3.51 (21125) {G0,W8,D2,L2,V3,M2} { ! alpha103( X, Y, Z ), alpha102( X, Y, Z )
% 3.09/3.51 }.
% 3.09/3.51 (21126) {G0,W13,D4,L3,V3,M3} { ! Z = Y, hBOOL( hAPP( hAPP( X, Y ), Z ) ),
% 3.09/3.51 alpha102( X, Y, Z ) }.
% 3.09/3.51 (21127) {G0,W8,D2,L2,V3,M2} { ! alpha103( X, Y, Z ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ) }.
% 3.09/3.51 (21128) {G0,W10,D4,L2,V3,M2} { ! alpha103( X, Y, Z ), ! hBOOL( hAPP( hAPP
% 3.09/3.51 ( X, Y ), Z ) ) }.
% 3.09/3.51 (21129) {G0,W14,D4,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, Z, Y ), hBOOL( hAPP( hAPP( X, Y ), Z ) ), alpha103( X, Y, Z
% 3.09/3.51 ) }.
% 3.09/3.51 (21130) {G0,W9,D3,L1,V2,M1} { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y
% 3.09/3.51 , X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) }.
% 3.09/3.51 (21131) {G0,W15,D4,L1,V3,M1} { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z
% 3.09/3.51 , c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) =
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, c_Groups_Oplus__class_Oplus
% 3.09/3.51 ( tc_Nat_Onat, Z, X ) ) }.
% 3.09/3.51 (21132) {G0,W15,D4,L1,V3,M1} { c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ) =
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, c_Groups_Oplus__class_Oplus
% 3.09/3.51 ( tc_Nat_Onat, Y, X ) ) }.
% 3.09/3.51 (21133) {G0,W12,D3,L2,V3,M2} { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat
% 3.09/3.51 , Z, Y ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ), Y = X }.
% 3.09/3.51 (21134) {G0,W12,D3,L2,V3,M2} { ! Y = X, c_Groups_Oplus__class_Oplus(
% 3.09/3.51 tc_Nat_Onat, Z, Y ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X )
% 3.09/3.51 }.
% 3.09/3.51 (21135) {G0,W12,D3,L2,V3,M2} { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat
% 3.09/3.51 , Z, Y ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ), Z = X }.
% 3.09/3.51 (21136) {G0,W12,D3,L2,V3,M2} { ! Z = X, c_Groups_Oplus__class_Oplus(
% 3.09/3.51 tc_Nat_Onat, Z, Y ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y )
% 3.09/3.51 }.
% 3.09/3.51 (21137) {G0,W11,D2,L3,V2,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X
% 3.09/3.51 , Y ), Y = X }.
% 3.09/3.51 (21138) {G0,W12,D2,L3,V3,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X
% 3.09/3.51 , Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ) }.
% 3.09/3.51 (21139) {G0,W7,D2,L2,V2,M2} { ! Y = X, c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ) }.
% 3.09/3.51 (21140) {G0,W8,D2,L2,V2,M2} { c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Y
% 3.09/3.51 ) }.
% 3.09/3.51 (21141) {G0,W4,D2,L1,V1,M1} { c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, X, X ) }.
% 3.09/3.51 (21142) {G0,W9,D3,L1,V2,M1} { c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 3.09/3.51 Y, X ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 3.09/3.51 (21143) {G0,W15,D4,L1,V3,M1} { c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 3.09/3.51 , c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ), X ) =
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 3.09/3.51 (21144) {G0,W15,D4,L1,V3,M1} { c_Groups_Ominus__class_Ominus( tc_Nat_Onat
% 3.09/3.51 , c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X ) =
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 3.09/3.51 ( tc_Nat_Onat, Z, X ), Y ) }.
% 3.09/3.51 (21145) {G0,W5,D3,L1,V1,M1} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 3.09/3.51 , X, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 3.09/3.51 (21146) {G0,W9,D3,L2,V1,M2} { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat
% 3.09/3.51 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 3.09/3.51 (21147) {G0,W9,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 3.09/3.51 , c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ), ! X =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 3.09/3.51 (21148) {G0,W5,D3,L1,V1,M1} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 3.09/3.51 , X, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 3.09/3.51 (21149) {G0,W8,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 3.09/3.51 , Y, X ), ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 3.09/3.51 (21150) {G0,W9,D3,L2,V1,M2} { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat
% 3.09/3.51 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 3.09/3.51 (21151) {G0,W7,D4,L1,V1,M1} { c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) = X }.
% 3.09/3.51 (21152) {G0,W7,D4,L1,V1,M1} { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X
% 3.09/3.51 , c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) = X }.
% 3.09/3.51 (21153) {G0,W11,D3,L2,V2,M2} { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat
% 3.09/3.51 , Y, X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 3.09/3.51 (21154) {G0,W11,D3,L2,V2,M2} { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat
% 3.09/3.51 , Y, X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 3.09/3.51 (21155) {G0,W15,D3,L3,V2,M3} { ! Y = c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_Nat_Onat ), ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 3.09/3.51 (21156) {G0,W10,D3,L2,V2,M2} { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat
% 3.09/3.51 , Y, X ) = Y, X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 3.09/3.51 (21157) {G0,W5,D3,L1,V1,M1} { c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 3.09/3.51 (21158) {G0,W9,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, X, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 3.09/3.51 (21159) {G0,W9,D3,L2,V1,M2} { ! X = c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_Nat_Onat ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 3.09/3.51 (21160) {G0,W8,D4,L1,V1,M1} { c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 3.09/3.51 (21161) {G0,W8,D4,L1,V1,M1} { c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 3.09/3.51 X, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 3.09/3.51 (21162) {G0,W15,D3,L3,V2,M3} { ! c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Nat_Onat, Y, X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 3.09/3.51 (21163) {G0,W11,D3,L2,V2,M2} { ! Y = c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_Nat_Onat ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 3.09/3.51 (21164) {G0,W11,D3,L2,V2,M2} { ! X = c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_Nat_Onat ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 3.09/3.51 (21165) {G0,W16,D3,L3,V3,M3} { ! c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Nat_Onat, Z, Y ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X )
% 3.09/3.51 , Y = X, Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 3.09/3.51 (21166) {G0,W12,D3,L2,V3,M2} { ! Y = X, c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Nat_Onat, Z, Y ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X )
% 3.09/3.51 }.
% 3.09/3.51 (21167) {G0,W13,D3,L2,V3,M2} { ! Z = c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_Nat_Onat ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 3.09/3.51 (21168) {G0,W16,D3,L3,V3,M3} { ! c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Nat_Onat, Z, Y ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y )
% 3.09/3.51 , Z = X, Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 3.09/3.51 (21169) {G0,W12,D3,L2,V3,M2} { ! Z = X, c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Nat_Onat, Z, Y ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y )
% 3.09/3.51 }.
% 3.09/3.51 (21170) {G0,W13,D3,L2,V3,M2} { ! Y = c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_Nat_Onat ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 3.09/3.51 (21171) {G0,W7,D3,L1,V2,M1} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 3.09/3.51 , c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ), Y ) }.
% 3.09/3.51 (21172) {G0,W7,D3,L1,V2,M1} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 3.09/3.51 , c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ), X ) }.
% 3.09/3.51 (21173) {G0,W14,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 3.09/3.51 (21174) {G0,W14,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 3.09/3.51 (21175) {G0,W11,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 3.09/3.51 (21176) {G0,W11,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 3.09/3.51 (21177) {G0,W14,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 3.09/3.51 (21178) {G0,W18,D3,L3,V4,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z )
% 3.09/3.51 , c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 3.09/3.51 ( tc_Nat_Onat, Y, T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) )
% 3.09/3.51 }.
% 3.09/3.51 (21179) {G0,W17,D3,L3,V4,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, Y, X ), ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, T, X ) =
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ) }.
% 3.09/3.51 (21180) {G0,W11,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ), X ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 3.09/3.51 (21181) {G0,W8,D2,L2,V2,M2} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 3.09/3.51 , Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 3.09/3.51 (21182) {G0,W7,D2,L2,V2,M2} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 3.09/3.51 , Y, X ), ! Y = X }.
% 3.09/3.51 (21183) {G0,W11,D2,L3,V2,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y
% 3.09/3.51 , X ) }.
% 3.09/3.51 (21184) {G0,W11,D2,L3,V2,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 3.09/3.51 Y = X }.
% 3.09/3.51 (21185) {G0,W8,D2,L2,V2,M2} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 3.09/3.51 , Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 3.09/3.51 (21186) {G0,W7,D2,L2,V2,M2} { ! Y = X, c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ) }.
% 3.09/3.51 (21187) {G0,W8,D2,L2,V2,M2} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 3.09/3.51 , Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 3.09/3.51 (21188) {G0,W11,D2,L3,V2,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y
% 3.09/3.51 , X ) }.
% 3.09/3.51 (21189) {G0,W8,D2,L2,V2,M2} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 3.09/3.51 , Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 3.09/3.51 (21190) {G0,W7,D2,L2,V2,M2} { ! Y = X, c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ) }.
% 3.09/3.51 (21191) {G0,W8,D4,L1,V1,M1} { c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 3.09/3.51 (21192) {G0,W7,D4,L1,V1,M1} { c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 3.09/3.51 X, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) = X }.
% 3.09/3.51 (21193) {G0,W7,D3,L1,V1,M1} { c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 3.09/3.51 X, X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 3.09/3.51 (21194) {G0,W17,D3,L3,V2,M3} { ! c_Groups_Ominus__class_Ominus(
% 3.09/3.51 tc_Nat_Onat, Y, X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), !
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y = X }.
% 3.09/3.51 (21195) {G0,W7,D3,L1,V2,M1} { c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) }.
% 3.09/3.51 (21196) {G0,W7,D3,L1,V2,M1} { c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 3.09/3.51 (21197) {G0,W12,D4,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 3.09/3.51 skol4( X, Y ) ) }.
% 3.09/3.51 (21198) {G0,W10,D3,L2,V3,M2} { ! X = c_Groups_Oplus__class_Oplus(
% 3.09/3.51 tc_Nat_Onat, Y, Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X
% 3.09/3.51 ) }.
% 3.09/3.51 (21199) {G0,W14,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 3.09/3.51 (21200) {G0,W14,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 3.09/3.51 (21201) {G0,W11,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 3.09/3.51 (21202) {G0,W11,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 3.09/3.51 (21203) {G0,W14,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 3.09/3.51 (21204) {G0,W18,D3,L3,V4,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T
% 3.09/3.51 , Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, T ),
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 3.09/3.51 (21205) {G0,W11,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 3.09/3.51 (21206) {G0,W11,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ), X ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 3.09/3.51 (21207) {G0,W11,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X ) }.
% 3.09/3.51 (21208) {G0,W11,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 3.09/3.51 (21209) {G0,W11,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, Z ), X ) }.
% 3.09/3.51 (21210) {G0,W18,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z )
% 3.09/3.51 , c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ),
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ) }.
% 3.09/3.51 (21211) {G0,W18,D4,L1,V3,M1} { c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 3.09/3.51 , Z, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) =
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Nat_Onat, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) )
% 3.09/3.51 }.
% 3.09/3.51 (21212) {G0,W18,D4,L1,V3,M1} { c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 3.09/3.51 , c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ) =
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Nat_Onat, Z, X ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) )
% 3.09/3.51 }.
% 3.09/3.51 (21213) {G0,W7,D3,L1,V1,M1} { c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, X ) ) }.
% 3.09/3.51 (21214) {G0,W10,D4,L1,V1,M1} { c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, X ) ) ) }.
% 3.09/3.51 (21215) {G0,W14,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, Z ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ) ) }.
% 3.09/3.51 (21216) {G0,W14,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 3.09/3.51 (21217) {G0,W18,D3,L3,V4,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T
% 3.09/3.51 , Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, T ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ) ) }.
% 3.09/3.51 (21218) {G0,W9,D4,L1,V2,M1} { c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ), X ) = Y }.
% 3.09/3.51 (21219) {G0,W9,D4,L1,V2,M1} { c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ), Y ) = X }.
% 3.09/3.51 (21220) {G0,W15,D4,L1,V3,M1} { c_Groups_Ominus__class_Ominus( tc_Nat_Onat
% 3.09/3.51 , c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X ) =
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 3.09/3.51 (21221) {G0,W15,D4,L1,V3,M1} { c_Groups_Ominus__class_Ominus( tc_Nat_Onat
% 3.09/3.51 , c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) =
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) }.
% 3.09/3.51 (21222) {G0,W15,D4,L1,V3,M1} { c_Groups_Ominus__class_Ominus( tc_Nat_Onat
% 3.09/3.51 , c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) =
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ) }.
% 3.09/3.51 (21223) {G0,W22,D3,L4,V3,M4} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 3.09/3.51 , Z ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ),
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ) }.
% 3.09/3.51 (21224) {G0,W22,D3,L4,V3,M4} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 3.09/3.51 , Z ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ),
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ) }.
% 3.09/3.51 (21225) {G0,W23,D4,L3,V3,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 3.09/3.51 , Z ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ),
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ) =
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z ) }.
% 3.09/3.51 (21226) {G0,W20,D3,L4,V3,M4} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 3.09/3.51 , Z ), ! c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X = Z }.
% 3.09/3.51 (21227) {G0,W20,D3,L4,V3,M4} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 3.09/3.51 , Z ), ! X = Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) }.
% 3.09/3.51 (21228) {G0,W13,D4,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) = Y }.
% 3.09/3.51 (21229) {G0,W14,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, Z ),
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z ) ) }.
% 3.09/3.51 (21230) {G0,W14,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ),
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ) }.
% 3.09/3.51 (21231) {G0,W7,D3,L1,V2,M1} { c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ), Y ) }.
% 3.09/3.51 (21232) {G0,W18,D4,L1,V3,M1} { c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 3.09/3.51 , Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) =
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 3.09/3.51 ( tc_Nat_Onat, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X )
% 3.09/3.51 ) }.
% 3.09/3.51 (21233) {G0,W18,D4,L1,V3,M1} { c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 3.09/3.51 , c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X ) =
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 3.09/3.51 ( tc_Nat_Onat, Z, X ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X )
% 3.09/3.51 ) }.
% 3.09/3.51 (21234) {G0,W18,D3,L3,V2,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 3.09/3.51 (21235) {G0,W13,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_Nat_Onat ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 3.09/3.51 (21236) {G0,W13,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_Nat_Onat ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 3.09/3.51 (21237) {G0,W13,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_Nat_Onat ), Y ) }.
% 3.09/3.51 (21238) {G0,W13,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_Nat_Onat ), X ) }.
% 3.09/3.51 (21239) {G0,W18,D3,L3,V2,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Otimes__class_Otimes
% 3.09/3.51 ( tc_Nat_Onat, Y, X ) ) }.
% 3.09/3.51 (21240) {G0,W15,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_Nat_Onat ), Z ) }.
% 3.09/3.51 (21241) {G0,W14,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 3.09/3.51 (21242) {G0,W19,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Z ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 3.09/3.51 ( tc_Nat_Onat, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X )
% 3.09/3.51 ) }.
% 3.09/3.51 (21243) {G0,W15,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_Nat_Onat ), Y ) }.
% 3.09/3.51 (21244) {G0,W14,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X ) }.
% 3.09/3.51 (21245) {G0,W19,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 3.09/3.51 ( tc_Nat_Onat, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y )
% 3.09/3.51 ) }.
% 3.09/3.51 (21246) {G0,W19,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Z ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 3.09/3.51 ( tc_Nat_Onat, Y, Z ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z )
% 3.09/3.51 ) }.
% 3.09/3.51 (21247) {G0,W19,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Z ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 3.09/3.51 ( tc_Nat_Onat, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X )
% 3.09/3.51 ) }.
% 3.09/3.51 (21248) {G0,W12,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 3.09/3.51 (21249) {G0,W12,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, X, Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Ominus__class_Ominus
% 3.09/3.51 ( tc_Nat_Onat, Y, X ) ) }.
% 3.09/3.51 (21250) {G0,W17,D3,L3,V2,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ), Y ) }.
% 3.09/3.51 (21251) {G0,W10,D4,L1,V2,M1} { c_Groups_Ominus__class_Ominus( tc_Nat_Onat
% 3.09/3.51 , Y, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 3.09/3.51 (21252) {G0,W11,D3,L2,V2,M2} { ! c_Groups_Ominus__class_Ominus(
% 3.09/3.51 tc_Nat_Onat, Y, X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 3.09/3.51 (21253) {G0,W11,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 3.09/3.51 (21254) {G0,W11,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 3.09/3.51 (21255) {G0,W14,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 3.09/3.51 tc_Nat_Onat, Z, X ), Y ) }.
% 3.09/3.51 (21256) {G0,W14,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ), Y ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z,
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) }.
% 3.09/3.51 (21257) {G0,W13,D4,L2,V2,M2} { c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 3.09/3.51 , Y, X ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) = Y }.
% 3.09/3.51 (21258) {G0,W18,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z
% 3.09/3.51 , Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, Z ),
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z ) ) }.
% 3.09/3.51 (21259) {G0,W22,D3,L4,V3,M4} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 3.09/3.51 , Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ),
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ) }.
% 3.09/3.51 (21260) {G0,W22,D3,L4,V3,M4} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 3.09/3.51 , Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 3.09/3.51 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 3.09/3.51 ) }.
% 3.09/3.51 (21261) {G0,W19,D4,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z,
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 3.09/3.51 tc_Nat_Onat, Z, Y ), X ) }.
% 3.09/3.51 (21262) {G0,W14,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) }.
% 3.09/3.51 (21263) {G0,W14,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Z, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X ) }.
% 3.09/3.51 (21264) {G0,W14,D4,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 3.09/3.51 tc_Nat_Onat, X, Z ), Y ) ) }.
% 3.09/3.51 (21265) {G0,W13,D4,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) = X }.
% 3.09/3.51 (21266) {G0,W19,D4,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 3.09/3.51 tc_Nat_Onat, Z, X ), Y ) }.
% 3.09/3.51 (21267) {G0,W18,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z
% 3.09/3.51 , c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ) }.
% 3.09/3.51 (21268) {G0,W18,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 3.09/3.51 (21269) {G0,W13,D4,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), Y ) = X }.
% 3.09/3.51 (21270) {G0,W16,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), ! c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y )
% 3.09/3.51 = Z, X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) }.
% 3.09/3.51 (21271) {G0,W16,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), ! X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y
% 3.09/3.51 ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) = Z }.
% 3.09/3.51 (21272) {G0,W19,D4,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ), Y ) =
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 3.09/3.51 (21273) {G0,W19,D4,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), Z ) =
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 3.09/3.51 tc_Nat_Onat, X, Z ), Y ) }.
% 3.09/3.51 (21274) {G0,W19,D4,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ), Y ) =
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 3.09/3.51 tc_Nat_Onat, X, Y ), Z ) }.
% 3.09/3.51 (21275) {G0,W19,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X
% 3.09/3.51 ) }.
% 3.09/3.51 (21276) {G0,W15,D3,L2,V3,M2} { c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 3.09/3.51 , c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Z ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 3.09/3.51 (21277) {G0,W14,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 3.09/3.51 (21278) {G0,W19,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X
% 3.09/3.51 ) }.
% 3.09/3.51 (21279) {G0,W15,D3,L2,V3,M2} { c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 3.09/3.51 , c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 3.09/3.51 (21280) {G0,W14,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Z, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 3.09/3.51 (21281) {G0,W11,D4,L2,V3,M2} { ! hBOOL( hAPP( Z,
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) ), alpha30( X, Y, Z
% 3.09/3.51 ) }.
% 3.09/3.51 (21282) {G0,W11,D4,L2,V3,M2} { ! hBOOL( hAPP( Z,
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) ), alpha62( X, Y, Z
% 3.09/3.51 ) }.
% 3.09/3.51 (21283) {G0,W15,D4,L3,V3,M3} { ! alpha30( X, Y, Z ), ! alpha62( X, Y, Z )
% 3.09/3.51 , hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 3.09/3.51 }.
% 3.09/3.51 (21284) {G0,W14,D3,L3,V4,M3} { ! alpha62( X, Y, Z ), ! Y =
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, T ), hBOOL( hAPP( Z, T ) )
% 3.09/3.51 }.
% 3.09/3.51 (21285) {G0,W11,D4,L2,V5,M2} { ! hBOOL( hAPP( Z, skol5( T, U, Z ) ) ),
% 3.09/3.51 alpha62( X, Y, Z ) }.
% 3.09/3.51 (21286) {G0,W13,D4,L2,V3,M2} { Y = c_Groups_Oplus__class_Oplus(
% 3.09/3.51 tc_Nat_Onat, X, skol5( X, Y, Z ) ), alpha62( X, Y, Z ) }.
% 3.09/3.51 (21287) {G0,W13,D4,L3,V3,M3} { ! alpha30( X, Y, Z ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), hBOOL( hAPP( Z,
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) }.
% 3.09/3.51 (21288) {G0,W8,D2,L2,V3,M2} { c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 3.09/3.51 Y, X ), alpha30( X, Y, Z ) }.
% 3.09/3.51 (21289) {G0,W9,D4,L2,V3,M2} { ! hBOOL( hAPP( Z,
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), alpha30( X, Y, Z ) }.
% 3.09/3.51 (21290) {G0,W41,D6,L2,V5,M2} { ! class_RealVector_Oreal__normed__algebra(
% 3.09/3.51 X ), c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X,
% 3.09/3.51 U, T ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 3.09/3.51 c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, U, Z
% 3.09/3.51 ), c_Groups_Ominus__class_Ominus( X, T, Y ) ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, U, Z
% 3.09/3.51 ), Y ) ), c_Groups_Otimes__class_Otimes( X, Z,
% 3.09/3.51 c_Groups_Ominus__class_Ominus( X, T, Y ) ) ) }.
% 3.09/3.51 (21291) {G0,W8,D4,L1,V2,M1} { c_Nat_Osize__class_Osize(
% 3.09/3.51 tc_Complex_Ocomplex, c_Complex_Ocomplex_OComplex( Y, X ) ) =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 3.09/3.51 (21292) {G0,W6,D2,L2,V2,M2} { ! class_Orderings_Opreorder( X ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Y, Y ) }.
% 3.09/3.51 (21293) {G0,W16,D3,L3,V5,M3} { ! class_Orderings_Oord( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ), hAPP( Y, U ) ) }.
% 3.09/3.51 (21294) {G0,W22,D4,L3,V4,M3} { ! class_Orderings_Oord( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, skol6( X, Y, Z ) ), hAPP(
% 3.09/3.51 Y, skol6( X, Y, Z ) ) ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, X
% 3.09/3.51 ), Z, Y ) }.
% 3.09/3.51 (21295) {G0,W10,D2,L3,V3,M3} { ! class_Orderings_Olinorder( X ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 3.09/3.51 (21296) {G0,W9,D2,L3,V3,M3} { ! class_Orderings_Oorder( X ), ! Z = Y,
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 3.09/3.51 (21297) {G0,W9,D2,L3,V3,M3} { ! class_Orderings_Oorder( X ), ! Z = Y,
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 3.09/3.51 (21298) {G0,W13,D2,L4,V3,M4} { ! class_Orderings_Oorder( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Z = Y }.
% 3.09/3.51 (21299) {G0,W9,D2,L3,V3,M3} { ! class_Orderings_Opreorder( X ), ! Z = Y,
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 3.09/3.51 (21300) {G0,W16,D3,L3,V5,M3} { ! class_Orderings_Oord( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ), hAPP( Y, U ) ) }.
% 3.09/3.51 (21301) {G0,W13,D2,L4,V3,M4} { ! class_Orderings_Oorder( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Y = Z }.
% 3.09/3.51 (21302) {G0,W13,D2,L4,V3,M4} { ! class_Orderings_Oorder( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! Y = Z,
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 3.09/3.51 (21303) {G0,W13,D2,L4,V4,M4} { ! class_Orderings_Oord( X ), ! Z = Y, !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Y, T ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 3.09/3.51 (21304) {G0,W13,D2,L4,V4,M4} { ! class_Orderings_Oorder( X ), ! Z = Y, !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 3.09/3.51 (21305) {G0,W13,D2,L4,V4,M4} { ! class_Orderings_Oord( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! Y = T,
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 3.09/3.51 (21306) {G0,W13,D2,L4,V4,M4} { ! class_Orderings_Oorder( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! Z = T,
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 3.09/3.51 (21307) {G0,W13,D2,L4,V3,M4} { ! class_Orderings_Oorder( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Z = Y }.
% 3.09/3.51 (21308) {G0,W14,D2,L4,V4,M4} { ! class_Orderings_Opreorder( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Y, T ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 3.09/3.51 (21309) {G0,W13,D2,L4,V3,M4} { ! class_Orderings_Oorder( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Y = Z }.
% 3.09/3.51 (21310) {G0,W14,D2,L4,V4,M4} { ! class_Orderings_Oorder( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 3.09/3.51 (21311) {G0,W16,D3,L3,V5,M3} { ! class_Orderings_Oord( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ), hAPP( Y, U ) ) }.
% 3.09/3.51 (21312) {G0,W10,D2,L3,V3,M3} { ! class_Orderings_Olinorder( X ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 3.09/3.51 (21313) {G0,W6,D2,L2,V2,M2} { ! class_Orderings_Opreorder( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Y, Y ) }.
% 3.09/3.51 (21314) {G0,W13,D2,L4,V3,M4} { ! class_Orderings_Olinorder( X ), Z = Y,
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 3.09/3.51 X, Y, Z ) }.
% 3.09/3.51 (21315) {G0,W9,D2,L3,V3,M3} { ! class_Orderings_Olinorder( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ), ! Z = Y }.
% 3.09/3.51 (21316) {G0,W9,D2,L3,V3,M3} { ! class_Orderings_Olinorder( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Y, Z ), ! Z = Y }.
% 3.09/3.51 (21317) {G0,W13,D2,L4,V3,M4} { ! class_Orderings_Olinorder( X ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 3.09/3.51 X, Y, Z ), Z = Y }.
% 3.09/3.51 (21318) {G0,W10,D2,L3,V3,M3} { ! class_Orderings_Olinorder( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Y, Z ), ! c_Orderings_Oord__class_Oless
% 3.09/3.51 ( X, Z, Y ) }.
% 3.09/3.51 (21319) {G0,W9,D2,L3,V3,M3} { ! class_Orderings_Olinorder( X ), ! Z = Y, !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 3.09/3.51 (21320) {G0,W13,D2,L4,V3,M4} { ! class_Orderings_Olinorder( X ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y,
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 3.09/3.51 (21321) {G0,W13,D2,L4,V3,M4} { ! class_Orderings_Olinorder( X ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 3.09/3.51 X, Y, Z ), Y = Z }.
% 3.09/3.51 (21322) {G0,W13,D2,L4,V3,M4} { ! class_Orderings_Olinorder( X ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ), ! Y = Z, !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 3.09/3.51 (21323) {G0,W13,D2,L4,V3,M4} { ! class_Orderings_Olinorder( X ), Z = Y,
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 3.09/3.51 X, Y, Z ) }.
% 3.09/3.51 (21324) {G0,W9,D2,L3,V3,M3} { ! class_Orderings_Oorder( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ), ! Z = Y }.
% 3.09/3.51 (21325) {G0,W10,D2,L3,V3,M3} { ! class_Orderings_Opreorder( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 3.09/3.51 ( X, Y, Z ) }.
% 3.09/3.51 (21326) {G0,W10,D2,L3,V3,M3} { ! class_Orderings_Opreorder( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 3.09/3.51 ( X, Y, Z ) }.
% 3.09/3.51 (21327) {G0,W9,D2,L3,V3,M3} { ! class_Orderings_Oorder( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ), ! Z = Y }.
% 3.09/3.51 (21328) {G0,W9,D2,L3,V3,M3} { ! class_Orderings_Oorder( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ), ! Y = Z }.
% 3.09/3.51 (21329) {G0,W10,D2,L3,V3,M3} { ! class_Orderings_Opreorder( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 3.09/3.51 ( X, Y, Z ) }.
% 3.09/3.51 (21330) {G0,W10,D2,L3,V3,M3} { ! class_Orderings_Oorder( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 3.09/3.51 ( X, Y, Z ) }.
% 3.09/3.51 (21331) {G0,W13,D2,L4,V4,M4} { ! class_Orderings_Oord( X ), ! Z = Y, !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Y, T ), c_Orderings_Oord__class_Oless(
% 3.09/3.51 X, Z, T ) }.
% 3.09/3.51 (21332) {G0,W13,D2,L4,V4,M4} { ! class_Orderings_Oorder( X ), ! Z = Y, !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, T, Y ), c_Orderings_Oord__class_Oless(
% 3.09/3.51 X, T, Z ) }.
% 3.09/3.51 (21333) {G0,W13,D2,L4,V4,M4} { ! class_Orderings_Oord( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ), ! Y = T,
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 3.09/3.51 (21334) {G0,W13,D2,L4,V4,M4} { ! class_Orderings_Oorder( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ), ! Z = T,
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 3.09/3.51 (21335) {G0,W14,D2,L4,V4,M4} { ! class_Orderings_Opreorder( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 3.09/3.51 ( X, Y, T ), c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 3.09/3.51 (21336) {G0,W14,D2,L4,V4,M4} { ! class_Orderings_Oorder( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 3.09/3.51 ( X, T, Z ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 3.09/3.51 (21337) {G0,W10,D2,L3,V3,M3} { ! class_Orderings_Opreorder( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 3.09/3.51 ( X, Y, Z ) }.
% 3.09/3.51 (21338) {G0,W13,D2,L4,V3,M4} { ! class_Orderings_Olinorder( X ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y,
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 3.09/3.51 (21339) {G0,W10,D2,L3,V3,M3} { ! class_Orderings_Olinorder( X ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 3.09/3.51 (21340) {G0,W10,D2,L3,V3,M3} { ! class_Orderings_Olinorder( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Y, Z ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 3.09/3.51 (21341) {G0,W10,D2,L3,V3,M3} { ! class_Orderings_Olinorder( X ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 3.09/3.51 (21342) {G0,W10,D2,L3,V3,M3} { ! class_Orderings_Olinorder( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Y, Z ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 3.09/3.51 (21343) {G0,W10,D2,L3,V3,M3} { ! class_Orderings_Olinorder( X ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 3.09/3.51 (21344) {G0,W10,D2,L3,V3,M3} { ! class_Orderings_Oorder( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 3.09/3.51 (21345) {G0,W9,D2,L3,V3,M3} { ! class_Orderings_Oorder( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ), ! Z = Y }.
% 3.09/3.51 (21346) {G0,W13,D2,L4,V3,M4} { ! class_Orderings_Oorder( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), Z = Y,
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 3.09/3.51 (21347) {G0,W10,D2,L3,V3,M3} { ! class_Orderings_Opreorder( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 3.09/3.51 (21348) {G0,W10,D2,L3,V3,M3} { ! class_Orderings_Opreorder( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 3.09/3.51 (21349) {G0,W14,D2,L4,V3,M4} { ! class_Orderings_Opreorder( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Y, Z ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 3.09/3.51 (21350) {G0,W13,D2,L4,V3,M4} { ! class_Orderings_Oorder( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 3.09/3.51 (21351) {G0,W10,D2,L3,V3,M3} { ! class_Orderings_Oorder( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 3.09/3.51 (21352) {G0,W9,D2,L3,V3,M3} { ! class_Orderings_Oorder( X ), ! Z = Y,
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 3.09/3.51 (21353) {G0,W10,D2,L3,V3,M3} { ! class_Orderings_Olinorder( X ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 3.09/3.51 (21354) {G0,W10,D2,L3,V3,M3} { ! class_Orderings_Olinorder( X ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 3.09/3.51 (21355) {G0,W13,D2,L4,V3,M4} { ! class_Orderings_Olinorder( X ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), Z = Y }.
% 3.09/3.51 (21356) {G0,W13,D2,L4,V3,M4} { ! class_Orderings_Olinorder( X ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ), ! Z = Y,
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 3.09/3.51 (21357) {G0,W13,D2,L4,V3,M4} { ! class_Orderings_Oorder( X ), Z = Y, !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 3.09/3.51 (21358) {G0,W13,D2,L4,V3,M4} { ! class_Orderings_Oorder( X ), Z = Y, !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Y, Z ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 3.09/3.51 (21359) {G0,W10,D2,L3,V3,M3} { ! class_Orderings_Olinorder( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 3.09/3.51 (21360) {G0,W10,D2,L3,V3,M3} { ! class_Orderings_Opreorder( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 3.09/3.51 (21361) {G0,W13,D2,L4,V3,M4} { ! class_Orderings_Olinorder( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 3.09/3.51 (21362) {G0,W13,D2,L4,V3,M4} { ! class_Orderings_Olinorder( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! Z = Y, !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 3.09/3.51 (21363) {G0,W13,D2,L4,V3,M4} { ! class_Orderings_Oorder( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 3.09/3.51 (21364) {G0,W13,D2,L4,V3,M4} { ! class_Orderings_Oorder( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), Z = Y,
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 3.09/3.51 (21365) {G0,W13,D2,L4,V3,M4} { ! class_Orderings_Oorder( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), Y = Z,
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 3.09/3.51 (21366) {G0,W14,D2,L4,V4,M4} { ! class_Orderings_Opreorder( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Y, T ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 3.09/3.51 (21367) {G0,W14,D2,L4,V4,M4} { ! class_Orderings_Oorder( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 3.09/3.51 (21368) {G0,W14,D2,L4,V4,M4} { ! class_Orderings_Opreorder( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Y, T ), c_Orderings_Oord__class_Oless(
% 3.09/3.51 X, Z, T ) }.
% 3.09/3.51 (21369) {G0,W14,D2,L4,V4,M4} { ! class_Orderings_Oorder( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, T, Z ), c_Orderings_Oord__class_Oless(
% 3.09/3.51 X, T, Y ) }.
% 3.09/3.51 (21370) {G0,W10,D4,L2,V2,M2} { ! class_RealVector_Oreal__normed__algebra(
% 3.09/3.51 X ), c_Groups_Otimes__class_Otimes( X, c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.51 Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.51 (21371) {G0,W10,D4,L2,V2,M2} { ! class_RealVector_Oreal__normed__algebra(
% 3.09/3.51 X ), c_Groups_Otimes__class_Otimes( X, c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.51 Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.51 (21372) {G0,W10,D4,L2,V2,M2} { ! class_RealVector_Oreal__normed__algebra(
% 3.09/3.51 X ), c_Groups_Otimes__class_Otimes( X, Y, c_Groups_Ozero__class_Ozero( X
% 3.09/3.51 ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.51 (21373) {G0,W10,D4,L2,V2,M2} { ! class_RealVector_Oreal__normed__algebra(
% 3.09/3.51 X ), c_Groups_Otimes__class_Otimes( X, Y, c_Groups_Ozero__class_Ozero( X
% 3.09/3.51 ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.51 (21374) {G0,W20,D4,L2,V4,M2} { ! class_RealVector_Oreal__normed__algebra(
% 3.09/3.51 X ), c_Groups_Otimes__class_Otimes( X, T, c_Groups_Oplus__class_Oplus( X
% 3.09/3.51 , Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Groups_Otimes__class_Otimes(
% 3.09/3.51 X, T, Y ) ) }.
% 3.09/3.51 (21375) {G0,W20,D4,L2,V4,M2} { ! class_RealVector_Oreal__normed__algebra(
% 3.09/3.51 X ), c_Groups_Otimes__class_Otimes( X, T, c_Groups_Oplus__class_Oplus( X
% 3.09/3.51 , Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Groups_Otimes__class_Otimes(
% 3.09/3.51 X, T, Y ) ) }.
% 3.09/3.51 (21376) {G0,W20,D4,L2,V4,M2} { ! class_RealVector_Oreal__normed__algebra(
% 3.09/3.51 X ), c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T
% 3.09/3.51 , Z ), Y ) = c_Groups_Oplus__class_Oplus( X,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( X, T, Y ), c_Groups_Otimes__class_Otimes(
% 3.09/3.51 X, Z, Y ) ) }.
% 3.09/3.51 (21377) {G0,W20,D4,L2,V4,M2} { ! class_RealVector_Oreal__normed__algebra(
% 3.09/3.51 X ), c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T
% 3.09/3.51 , Z ), Y ) = c_Groups_Oplus__class_Oplus( X,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( X, T, Y ), c_Groups_Otimes__class_Otimes(
% 3.09/3.51 X, Z, Y ) ) }.
% 3.09/3.51 (21378) {G0,W20,D4,L2,V4,M2} { ! class_RealVector_Oreal__normed__algebra(
% 3.09/3.51 X ), c_Groups_Otimes__class_Otimes( X, T, c_Groups_Ominus__class_Ominus(
% 3.09/3.51 X, Z, Y ) ) = c_Groups_Ominus__class_Ominus( X,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Groups_Otimes__class_Otimes(
% 3.09/3.51 X, T, Y ) ) }.
% 3.09/3.51 (21379) {G0,W20,D4,L2,V4,M2} { ! class_RealVector_Oreal__normed__algebra(
% 3.09/3.51 X ), c_Groups_Otimes__class_Otimes( X, T, c_Groups_Ominus__class_Ominus(
% 3.09/3.51 X, Z, Y ) ) = c_Groups_Ominus__class_Ominus( X,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Groups_Otimes__class_Otimes(
% 3.09/3.51 X, T, Y ) ) }.
% 3.09/3.51 (21380) {G0,W20,D4,L2,V4,M2} { ! class_RealVector_Oreal__normed__algebra(
% 3.09/3.51 X ), c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X,
% 3.09/3.51 T, Z ), Y ) = c_Groups_Ominus__class_Ominus( X,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( X, T, Y ), c_Groups_Otimes__class_Otimes(
% 3.09/3.51 X, Z, Y ) ) }.
% 3.09/3.51 (21381) {G0,W20,D4,L2,V4,M2} { ! class_RealVector_Oreal__normed__algebra(
% 3.09/3.51 X ), c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X,
% 3.09/3.51 T, Z ), Y ) = c_Groups_Ominus__class_Ominus( X,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( X, T, Y ), c_Groups_Otimes__class_Otimes(
% 3.09/3.51 X, Z, Y ) ) }.
% 3.09/3.51 (21382) {G0,W10,D4,L2,V2,M2} { ! class_RealVector_Oreal__normed__field( X
% 3.09/3.51 ), c_Rings_Oinverse__class_Odivide( X, c_Groups_Ozero__class_Ozero( X )
% 3.09/3.51 , Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.51 (21383) {G0,W20,D4,L2,V4,M2} { ! class_RealVector_Oreal__normed__field( X
% 3.09/3.51 ), c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, T
% 3.09/3.51 , Z ), Y ) = c_Groups_Oplus__class_Oplus( X,
% 3.09/3.51 c_Rings_Oinverse__class_Odivide( X, T, Y ),
% 3.09/3.51 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 3.09/3.51 (21384) {G0,W20,D4,L2,V4,M2} { ! class_RealVector_Oreal__normed__field( X
% 3.09/3.51 ), c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X
% 3.09/3.51 , T, Z ), Y ) = c_Groups_Ominus__class_Ominus( X,
% 3.09/3.51 c_Rings_Oinverse__class_Odivide( X, T, Y ),
% 3.09/3.51 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 3.09/3.51 (21385) {G0,W12,D4,L1,V4,M1} { c_Complex_Ocomplex_Ocomplex__case( T, Z,
% 3.09/3.51 c_Complex_Ocomplex_OComplex( Y, X ) ) = hAPP( hAPP( Z, Y ), X ) }.
% 3.09/3.51 (21386) {G0,W12,D4,L1,V4,M1} { c_Complex_Ocomplex_Ocomplex__rec( T, Z,
% 3.09/3.51 c_Complex_Ocomplex_OComplex( Y, X ) ) = hAPP( hAPP( Z, Y ), X ) }.
% 3.09/3.51 (21387) {G0,W25,D8,L1,V2,M1} { c_RealVector_Onorm__class_Onorm(
% 3.09/3.51 tc_Complex_Ocomplex, c_Complex_Ocomplex_OComplex( Y, X ) ) =
% 3.09/3.51 c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 3.09/3.51 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.51 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.51 c_Int_OPls ) ) ) ) ) ) }.
% 3.09/3.51 (21388) {G0,W19,D4,L3,V3,M3} { ! class_Fields_Ofield__inverse__zero( X ),
% 3.09/3.51 ! class_RealVector_Oreal__normed__field( X ),
% 3.09/3.51 c_RealVector_Onorm__class_Onorm( X, c_Rings_Oinverse__class_Odivide( X, Z
% 3.09/3.51 , Y ) ) = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 3.09/3.51 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 3.09/3.51 ( X, Y ) ) }.
% 3.09/3.51 (21389) {G0,W15,D4,L2,V3,M2} { !
% 3.09/3.51 class_RealVector_Oreal__normed__div__algebra( X ),
% 3.09/3.51 c_RealVector_Onorm__class_Onorm( X, c_Power_Opower__class_Opower( X, Z, Y
% 3.09/3.51 ) ) = c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 3.09/3.51 c_RealVector_Onorm__class_Onorm( X, Z ), Y ) }.
% 3.09/3.51 (21390) {G0,W11,D4,L2,V2,M2} { ! class_RealVector_Oreal__normed__vector( X
% 3.09/3.51 ), c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 3.09/3.51 c_RealVector_Onorm__class_Onorm( X, Y ) ) =
% 3.09/3.51 c_RealVector_Onorm__class_Onorm( X, Y ) }.
% 3.09/3.51 (21391) {G0,W14,D3,L3,V4,M3} { ! class_Orderings_Oord( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_fun( T, X ), Z, Y ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ) }.
% 3.09/3.51 (21392) {G0,W14,D3,L3,V4,M3} { ! class_Orderings_Oord( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_fun( T, X ), Z, Y ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Y, Z ) }.
% 3.09/3.51 (21393) {G0,W20,D3,L4,V4,M4} { ! class_Orderings_Oord( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Y, Z ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_fun( T, X ), Z, Y ) }.
% 3.09/3.51 (21394) {G0,W15,D4,L2,V3,M2} { ! class_RealVector_Oreal__normed__vector( X
% 3.09/3.51 ), c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X
% 3.09/3.51 , Z, Y ) ) = c_RealVector_Onorm__class_Onorm( X,
% 3.09/3.51 c_Groups_Ominus__class_Ominus( X, Y, Z ) ) }.
% 3.09/3.51 (21395) {G0,W9,D4,L2,V1,M2} { ! class_RealVector_Oreal__normed__vector( X
% 3.09/3.51 ), c_RealVector_Onorm__class_Onorm( X, c_Groups_Ozero__class_Ozero( X )
% 3.09/3.51 ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 3.09/3.51 (21396) {G0,W12,D3,L3,V2,M3} { ! class_RealVector_Oreal__normed__vector( X
% 3.09/3.51 ), ! c_RealVector_Onorm__class_Onorm( X, Y ) =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.51 (21397) {G0,W12,D3,L3,V2,M3} { ! class_RealVector_Oreal__normed__vector( X
% 3.09/3.51 ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.51 c_RealVector_Onorm__class_Onorm( X, Y ) = c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_RealDef_Oreal ) }.
% 3.09/3.51 (21398) {G0,W17,D4,L2,V3,M2} { !
% 3.09/3.51 class_RealVector_Oreal__normed__div__algebra( X ),
% 3.09/3.51 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Z,
% 3.09/3.51 Y ) ) = c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 3.09/3.51 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 3.09/3.51 ( X, Y ) ) }.
% 3.09/3.51 (21399) {G0,W9,D3,L2,V2,M2} { ! class_RealVector_Oreal__normed__vector( X
% 3.09/3.51 ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 3.09/3.51 c_RealVector_Onorm__class_Onorm( X, Y ) ) }.
% 3.09/3.51 (21400) {G0,W9,D3,L2,V2,M2} { ! class_RealVector_Oreal__normed__vector( X
% 3.09/3.51 ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 3.09/3.51 c_RealVector_Onorm__class_Onorm( X, Y ), c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_RealDef_Oreal ) ) }.
% 3.09/3.51 (21401) {G0,W13,D3,L3,V2,M3} { ! class_RealVector_Oreal__normed__vector( X
% 3.09/3.51 ), ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 3.09/3.51 c_RealVector_Onorm__class_Onorm( X, Y ), c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_RealDef_Oreal ) ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.51 (21402) {G0,W13,D3,L3,V2,M3} { ! class_RealVector_Oreal__normed__vector( X
% 3.09/3.51 ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 3.09/3.51 c_RealVector_Onorm__class_Onorm( X, Y ), c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_RealDef_Oreal ) ) }.
% 3.09/3.51 (21403) {G0,W13,D3,L3,V2,M3} { ! class_RealVector_Oreal__normed__vector( X
% 3.09/3.51 ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 3.09/3.51 c_RealVector_Onorm__class_Onorm( X, Y ) ), ! Y =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.51 (21404) {G0,W13,D3,L3,V2,M3} { ! class_RealVector_Oreal__normed__vector( X
% 3.09/3.51 ), Y = c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 3.09/3.51 c_RealVector_Onorm__class_Onorm( X, Y ) ) }.
% 3.09/3.51 (21405) {G0,W18,D4,L2,V3,M2} { ! class_RealVector_Oreal__normed__algebra(
% 3.09/3.51 X ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 3.09/3.51 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Z,
% 3.09/3.51 Y ) ), c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 3.09/3.51 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 3.09/3.51 ( X, Y ) ) ) }.
% 3.09/3.51 (21406) {G0,W26,D4,L4,V5,M4} { ! class_RealVector_Oreal__normed__algebra(
% 3.09/3.51 X ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 3.09/3.51 c_RealVector_Onorm__class_Onorm( X, Z ), Y ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 3.09/3.51 c_RealVector_Onorm__class_Onorm( X, U ), T ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 3.09/3.51 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Z,
% 3.09/3.51 U ) ), c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, T ) ) }.
% 3.09/3.51 (21407) {G0,W21,D4,L3,V3,M3} { ! class_RealVector_Oreal__normed__field( X
% 3.09/3.51 ), Y = c_Groups_Ozero__class_Ozero( X ), c_RealVector_Onorm__class_Onorm
% 3.09/3.51 ( X, c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 3.09/3.51 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 3.09/3.51 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 3.09/3.51 ( X, Y ) ) }.
% 3.09/3.51 (21408) {G0,W18,D4,L2,V3,M2} { ! class_RealVector_Oreal__normed__vector( X
% 3.09/3.51 ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 3.09/3.51 c_RealVector_Onorm__class_Onorm( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 3.09/3.51 ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 3.09/3.51 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 3.09/3.51 ( X, Y ) ) ) }.
% 3.09/3.51 (21409) {G0,W26,D4,L4,V5,M4} { ! class_RealVector_Oreal__normed__vector( X
% 3.09/3.51 ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 3.09/3.51 c_RealVector_Onorm__class_Onorm( X, Z ), Y ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 3.09/3.51 c_RealVector_Onorm__class_Onorm( X, U ), T ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 3.09/3.51 c_RealVector_Onorm__class_Onorm( X, c_Groups_Oplus__class_Oplus( X, Z, U
% 3.09/3.51 ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, T ) ) }.
% 3.09/3.51 (21410) {G0,W18,D4,L2,V3,M2} { ! class_RealVector_Oreal__normed__vector( X
% 3.09/3.51 ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 3.09/3.51 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X, Z,
% 3.09/3.51 Y ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 3.09/3.51 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 3.09/3.51 ( X, Y ) ) ) }.
% 3.09/3.51 (21411) {G0,W16,D4,L2,V3,M2} { !
% 3.09/3.51 class_RealVector_Oreal__normed__algebra__1( X ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 3.09/3.51 c_RealVector_Onorm__class_Onorm( X, c_Power_Opower__class_Opower( X, Z, Y
% 3.09/3.51 ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 3.09/3.51 c_RealVector_Onorm__class_Onorm( X, Z ), Y ) ) }.
% 3.09/3.51 (21412) {G0,W18,D4,L2,V3,M2} { ! class_RealVector_Oreal__normed__vector( X
% 3.09/3.51 ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 3.09/3.51 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 3.09/3.51 ( X, Y ) ), c_RealVector_Onorm__class_Onorm( X,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( X, Z, Y ) ) ) }.
% 3.09/3.51 (21413) {G0,W18,D4,L2,V3,M2} { ! class_RealVector_Oreal__normed__vector( X
% 3.09/3.51 ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 3.09/3.51 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 3.09/3.51 ( X, Y ) ), c_RealVector_Onorm__class_Onorm( X,
% 3.09/3.51 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) ) }.
% 3.09/3.51 (21414) {G0,W15,D4,L3,V2,M3} { ! class_Int_Onumber__ring( X ), !
% 3.09/3.51 class_RealVector_Oreal__normed__algebra__1( X ),
% 3.09/3.51 c_RealVector_Onorm__class_Onorm( X, c_Int_Onumber__class_Onumber__of( X,
% 3.09/3.51 Y ) ) = c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, Y ) ) }.
% 3.09/3.51 (21415) {G0,W16,D5,L1,V2,M1} { c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 3.09/3.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, Y, X ) ),
% 3.09/3.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ) ),
% 3.09/3.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ) }.
% 3.09/3.51 (21416) {G0,W22,D4,L4,V4,M4} { ! class_RealVector_Oreal__normed__vector( X
% 3.09/3.51 ), ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y,
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 3.09/3.51 c_RealVector_Onorm__class_Onorm( X, Z ), c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_RealDef_Oreal, Y, c_RealVector_Onorm__class_Onorm( X, T ) ) ), Z =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.51 (21417) {G0,W30,D5,L2,V5,M2} { ! class_RealVector_Oreal__normed__vector( X
% 3.09/3.51 ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 3.09/3.51 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 3.09/3.51 , Y ) ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 3.09/3.51 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X, U,
% 3.09/3.51 Z ) ), c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus
% 3.09/3.51 ( X, T, Y ) ) ) ) }.
% 3.09/3.51 (21418) {G0,W20,D5,L2,V3,M2} { ! class_RealVector_Oreal__normed__vector( X
% 3.09/3.51 ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 3.09/3.51 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 3.09/3.51 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 3.09/3.51 ( X, Y ) ) ), c_RealVector_Onorm__class_Onorm( X,
% 3.09/3.51 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) ) }.
% 3.09/3.51 (21419) {G0,W28,D10,L1,V2,M1} { c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 3.09/3.51 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, c_NthRoot_Osqrt(
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 3.09/3.51 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.51 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.51 c_Int_OPls ) ) ) ) ) ) ) ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal )
% 3.09/3.51 ) }.
% 3.09/3.51 (21420) {G0,W23,D8,L3,V3,M3} { ! class_Rings_Olinordered__idom( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, c_Power_Opower__class_Opower( X, Y,
% 3.09/3.51 c_Nat_OSuc( c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.51 c_Int_OPls ) ) ), Z ) ) ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 3.09/3.51 (21421) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 3.09/3.51 c_Nat_OSuc( Y ), c_Nat_OSuc( X ) ) }.
% 3.09/3.51 (21422) {G0,W5,D3,L1,V1,M1} { c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 3.09/3.51 X, c_Nat_OSuc( X ) ) }.
% 3.09/3.51 (21423) {G0,W6,D3,L1,V1,M1} { c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Nat_OSuc( X ) ) }.
% 3.09/3.51 (21424) {G0,W9,D4,L2,V1,M2} { ! class_RealVector_Oreal__normed__algebra__1
% 3.09/3.51 ( X ), c_RealVector_Onorm__class_Onorm( X, c_Groups_Oone__class_Oone( X )
% 3.09/3.51 ) = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 3.09/3.51 (21425) {G0,W7,D3,L1,V1,M1} { c_RealVector_Onorm__class_Onorm(
% 3.09/3.51 tc_RealDef_Oreal, X ) = c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X )
% 3.09/3.51 }.
% 3.09/3.51 (21426) {G0,W8,D3,L2,V1,M2} { ! class_Rings_Olinordered__semidom( X ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.51 c_Groups_Oone__class_Oone( X ) ) }.
% 3.09/3.51 (21427) {G0,W8,D3,L2,V1,M2} { ! class_Rings_Olinordered__semidom( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 3.09/3.51 c_Groups_Ozero__class_Ozero( X ) ) }.
% 3.09/3.51 (21428) {G0,W15,D3,L3,V3,M3} { ! class_Rings_Olinordered__semidom( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ), Y )
% 3.09/3.51 , c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 3.09/3.51 c_Power_Opower__class_Opower( X, Y, Z ) ) }.
% 3.09/3.51 (21429) {G0,W20,D4,L4,V3,M4} { ! class_Rings_Olinordered__semidom( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 3.09/3.51 ), ! c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Oone__class_Oone
% 3.09/3.51 ( X ) ), c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.51 c_Power_Opower__class_Opower( X, Y, c_Nat_OSuc( Z ) ), Y ) }.
% 3.09/3.51 (21430) {G0,W9,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, c_Nat_OSuc( Y ), X ), c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ) }.
% 3.09/3.51 (21431) {G0,W13,D3,L3,V2,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, c_Nat_OSuc( X ) ), c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), Y = c_Nat_OSuc( X ) }.
% 3.09/3.51 (21432) {G0,W9,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 3.09/3.51 c_Nat_OSuc( X ) ) }.
% 3.09/3.51 (21433) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc( X ) ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 3.09/3.51 (21434) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 3.09/3.51 c_Nat_OSuc( Y ), c_Nat_OSuc( X ) ) }.
% 3.09/3.51 (21435) {G0,W13,D3,L3,V2,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, c_Nat_OSuc( X ) ), c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), Y = c_Nat_OSuc( X ) }.
% 3.09/3.51 (21436) {G0,W9,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 3.09/3.51 c_Nat_OSuc( X ) ) }.
% 3.09/3.51 (21437) {G0,W9,D3,L2,V2,M2} { ! Y = c_Nat_OSuc( X ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 3.09/3.51 (21438) {G0,W9,D3,L2,V2,M2} { c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 3.09/3.51 c_Nat_OSuc( X ), Y ) }.
% 3.09/3.51 (21439) {G0,W9,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, c_Nat_OSuc( X ), Y ), ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ) }.
% 3.09/3.51 (21440) {G0,W5,D3,L1,V1,M1} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, c_Nat_OSuc( X ), X ) }.
% 3.09/3.51 (21441) {G0,W13,D4,L2,V2,M2} { ! c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Nat_Onat, Y, X ) = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_Nat_Onat ) ), Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat
% 3.09/3.51 ) ) }.
% 3.09/3.51 (21442) {G0,W13,D4,L2,V2,M2} { ! c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Nat_Onat, Y, X ) = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_Nat_Onat ) ), X = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat
% 3.09/3.51 ) ) }.
% 3.09/3.51 (21443) {G0,W18,D4,L3,V2,M3} { ! Y = c_Nat_OSuc(
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), ! X = c_Nat_OSuc(
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 3.09/3.51 (21444) {G0,W13,D5,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, Y, X ), X = c_Nat_OSuc( c_Groups_Oplus__class_Oplus(
% 3.09/3.51 tc_Nat_Onat, Y, skol7( X, Y ) ) ) }.
% 3.09/3.51 (21445) {G0,W11,D4,L2,V3,M2} { ! X = c_Nat_OSuc(
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ) ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 3.09/3.51 (21446) {G0,W8,D4,L1,V2,M1} { c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 3.09/3.51 Y, c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) ) }.
% 3.09/3.51 (21447) {G0,W8,D4,L1,V2,M1} { c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 3.09/3.51 Y, c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) ) }.
% 3.09/3.51 (21448) {G0,W9,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 3.09/3.51 , Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y )
% 3.09/3.51 , X ) }.
% 3.09/3.51 (21449) {G0,W9,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, c_Nat_OSuc( Y ), X ), c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, Y, X ) }.
% 3.09/3.51 (21450) {G0,W9,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 3.09/3.51 , Y, c_Nat_OSuc( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 3.09/3.51 , X ) }.
% 3.09/3.51 (21451) {G0,W9,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 3.09/3.51 c_Nat_OSuc( X ) ) }.
% 3.09/3.51 (21452) {G0,W9,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, c_Nat_OSuc( Y ), X ), c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, Y, X ) }.
% 3.09/3.51 (21453) {G0,W9,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 3.09/3.51 , Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y )
% 3.09/3.51 , X ) }.
% 3.09/3.51 (21454) {G0,W9,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 3.09/3.51 c_Nat_OSuc( X ) ) }.
% 3.09/3.51 (21455) {G0,W9,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 3.09/3.51 , Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y )
% 3.09/3.51 , X ) }.
% 3.09/3.51 (21456) {G0,W12,D3,L3,V2,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 3.09/3.51 c_Nat_OSuc( Y ) ), X = Y }.
% 3.09/3.51 (21457) {G0,W12,D3,L3,V2,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), ! X = Y, c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 3.09/3.51 , X, c_Nat_OSuc( Y ) ) }.
% 3.09/3.51 (21458) {G0,W9,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, c_Nat_OSuc( Y ), X ), c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, Y, X ) }.
% 3.09/3.51 (21459) {G0,W10,D4,L2,V2,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 3.09/3.51 c_Power_Opower__class_Opower( X, Y, c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_Nat_Onat ) ) = c_Groups_Oone__class_Oone( X ) }.
% 3.09/3.51 (21460) {G0,W10,D4,L2,V2,M2} { ! class_Power_Opower( X ),
% 3.09/3.51 c_Power_Opower__class_Opower( X, Y, c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_Nat_Onat ) ) = c_Groups_Oone__class_Oone( X ) }.
% 3.09/3.51 (21461) {G0,W16,D4,L2,V3,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z )
% 3.09/3.51 , Y ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), X ) )
% 3.09/3.51 , c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 3.09/3.51 (21462) {G0,W16,D4,L2,V3,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), X ) ) }.
% 3.09/3.51 (21463) {G0,W8,D3,L1,V2,M1} { c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ), c_Nat_OSuc( Y ) ) }.
% 3.09/3.51 (21464) {G0,W19,D5,L2,V3,M2} { ! class_Fields_Ofield__inverse__zero( X ),
% 3.09/3.51 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X ),
% 3.09/3.51 c_Power_Opower__class_Opower( X, Z, Y ) ) = c_Power_Opower__class_Opower
% 3.09/3.51 ( X, c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X ),
% 3.09/3.51 Z ), Y ) }.
% 3.09/3.51 (21465) {G0,W13,D4,L1,V2,M1} { c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 3.09/3.51 , Y, c_Nat_OSuc( X ) ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 3.09/3.51 (21466) {G0,W13,D4,L1,V2,M1} { c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 3.09/3.51 , c_Nat_OSuc( Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 3.09/3.51 (21467) {G0,W16,D4,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z )
% 3.09/3.51 , Y ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), X ) )
% 3.09/3.51 , c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 3.09/3.51 (21468) {G0,W16,D4,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), X ) ) }.
% 3.09/3.51 (21469) {G0,W15,D4,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 3.09/3.51 c_Nat_OSuc( X ), Y ) = c_Nat_OSuc( c_Groups_Ominus__class_Ominus(
% 3.09/3.51 tc_Nat_Onat, X, Y ) ) }.
% 3.09/3.51 (21470) {G0,W10,D5,L1,V1,M1} { c_Power_Opower__class_Opower( tc_Nat_Onat,
% 3.09/3.51 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ) =
% 3.09/3.51 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 3.09/3.51 (21471) {G0,W17,D4,L3,V2,M3} { ! c_Power_Opower__class_Opower( tc_Nat_Onat
% 3.09/3.51 , Y, X ) = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y = c_Nat_OSuc(
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 3.09/3.51 (21472) {G0,W12,D4,L2,V2,M2} { ! X = c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_Nat_Onat ), c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) =
% 3.09/3.51 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 3.09/3.51 (21473) {G0,W13,D4,L2,V2,M2} { ! Y = c_Nat_OSuc(
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 3.09/3.51 c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 3.09/3.51 (21474) {G0,W11,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_RealDef_Oreal, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 3.09/3.51 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ) }.
% 3.09/3.51 (21475) {G0,W11,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_RealDef_Oreal, c_NthRoot_Osqrt( X ), c_Groups_Oone__class_Oone(
% 3.09/3.51 tc_RealDef_Oreal ) ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal
% 3.09/3.51 , X, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 3.09/3.51 (21476) {G0,W11,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_RealDef_Oreal, X, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_NthRoot_Osqrt( X )
% 3.09/3.51 , c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 3.09/3.51 (21477) {G0,W11,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_RealDef_Oreal, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ),
% 3.09/3.51 c_NthRoot_Osqrt( X ) ), c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_RealDef_Oreal, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) }.
% 3.09/3.51 (21478) {G0,W11,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_RealDef_Oreal, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 3.09/3.51 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ) }.
% 3.09/3.51 (21479) {G0,W11,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_RealDef_Oreal, c_NthRoot_Osqrt( X ), c_Groups_Oone__class_Oone(
% 3.09/3.51 tc_RealDef_Oreal ) ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X
% 3.09/3.51 , c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 3.09/3.51 (21480) {G0,W11,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_RealDef_Oreal, X, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 3.09/3.51 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 3.09/3.51 (21481) {G0,W11,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_RealDef_Oreal, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ),
% 3.09/3.51 c_NthRoot_Osqrt( X ) ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 3.09/3.51 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) }.
% 3.09/3.51 (21482) {G0,W11,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_RealDef_Oreal, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 3.09/3.51 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ) }.
% 3.09/3.51 (21483) {G0,W11,D4,L1,V2,M1} { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y
% 3.09/3.51 , c_Nat_OSuc( X ) ) = c_Nat_OSuc( c_Groups_Oplus__class_Oplus(
% 3.09/3.51 tc_Nat_Onat, Y, X ) ) }.
% 3.09/3.51 (21484) {G0,W11,D4,L1,V2,M1} { c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 3.09/3.51 c_Nat_OSuc( Y ), X ) = c_Nat_OSuc( c_Groups_Oplus__class_Oplus(
% 3.09/3.51 tc_Nat_Onat, Y, X ) ) }.
% 3.09/3.51 (21485) {G0,W11,D4,L1,V2,M1} { c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 3.09/3.51 c_Nat_OSuc( Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 3.09/3.51 c_Nat_OSuc( X ) ) }.
% 3.09/3.51 (21486) {G0,W14,D4,L2,V3,M2} { ! c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Nat_Onat, c_Nat_OSuc( Z ), Y ) = c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Nat_Onat, c_Nat_OSuc( Z ), X ), Y = X }.
% 3.09/3.51 (21487) {G0,W14,D4,L2,V3,M2} { ! Y = X, c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Nat_Onat, c_Nat_OSuc( Z ), Y ) = c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Nat_Onat, c_Nat_OSuc( Z ), X ) }.
% 3.09/3.51 (21488) {G0,W5,D3,L1,V1,M1} { ! c_Nat_OSuc( X ) =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 3.09/3.51 (21489) {G0,W5,D3,L1,V1,M1} { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 3.09/3.51 = c_Nat_OSuc( X ) }.
% 3.09/3.51 (21490) {G0,W17,D5,L1,V3,M1} { c_Groups_Ominus__class_Ominus( tc_Nat_Onat
% 3.09/3.51 , c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ),
% 3.09/3.51 c_Nat_OSuc( X ) ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X ) }.
% 3.09/3.51 (21491) {G0,W11,D4,L1,V2,M1} { c_Groups_Ominus__class_Ominus( tc_Nat_Onat
% 3.09/3.51 , c_Nat_OSuc( Y ), c_Nat_OSuc( X ) ) = c_Groups_Ominus__class_Ominus(
% 3.09/3.51 tc_Nat_Onat, Y, X ) }.
% 3.09/3.51 (21492) {G0,W5,D3,L1,V1,M1} { ! c_Nat_OSuc( X ) =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 3.09/3.51 (21493) {G0,W5,D3,L1,V1,M1} { ! c_Nat_OSuc( X ) =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 3.09/3.51 (21494) {G0,W5,D3,L1,V1,M1} { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 3.09/3.51 = c_Nat_OSuc( X ) }.
% 3.09/3.51 (21495) {G0,W5,D3,L1,V1,M1} { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 3.09/3.51 = c_Nat_OSuc( X ) }.
% 3.09/3.51 (21496) {G0,W8,D3,L2,V2,M2} { ! c_Nat_OSuc( Y ) = c_Nat_OSuc( X ), Y = X
% 3.09/3.51 }.
% 3.09/3.51 (21497) {G0,W8,D3,L2,V2,M2} { ! c_Nat_OSuc( Y ) = c_Nat_OSuc( X ), Y = X
% 3.09/3.51 }.
% 3.09/3.51 (21498) {G0,W8,D3,L2,V2,M2} { ! Y = X, c_Nat_OSuc( Y ) = c_Nat_OSuc( X )
% 3.09/3.51 }.
% 3.09/3.51 (21499) {G0,W4,D3,L1,V1,M1} { ! c_Nat_OSuc( X ) = X }.
% 3.09/3.51 (21500) {G0,W4,D3,L1,V1,M1} { ! X = c_Nat_OSuc( X ) }.
% 3.09/3.51 (21501) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc( X ) ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 3.09/3.51 (21502) {G0,W9,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 3.09/3.51 , c_Nat_OSuc( Y ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X
% 3.09/3.51 ) }.
% 3.09/3.51 (21503) {G0,W12,D3,L3,V2,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, Y, c_Nat_OSuc( X ) ), c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, Y, X ), Y = X }.
% 3.09/3.51 (21504) {G0,W13,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z )
% 3.09/3.51 , c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), Z ) }.
% 3.09/3.51 (21505) {G0,W13,D3,L3,V2,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Nat_OSuc( Y ) = X, c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, c_Nat_OSuc( Y ), X ) }.
% 3.09/3.51 (21506) {G0,W9,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 3.09/3.51 , Y, X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X )
% 3.09/3.51 ) }.
% 3.09/3.51 (21507) {G0,W12,D3,L3,V2,M3} { c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 3.09/3.51 , Y, X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X
% 3.09/3.51 ) ), X = Y }.
% 3.09/3.51 (21508) {G0,W12,D3,L3,V2,M3} { c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 3.09/3.51 , Y, X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X
% 3.09/3.51 ) ), Y = X }.
% 3.09/3.51 (21509) {G0,W12,D3,L3,V2,M3} { c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 3.09/3.51 , Y, X ), ! Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 3.09/3.51 c_Nat_OSuc( X ) ) }.
% 3.09/3.51 (21510) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc( X ) ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 3.09/3.51 (21511) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 3.09/3.51 c_Nat_OSuc( Y ), c_Nat_OSuc( X ) ) }.
% 3.09/3.51 (21512) {G0,W12,D3,L3,V2,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, Y, c_Nat_OSuc( X ) ), c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, Y, X ), Y = X }.
% 3.09/3.51 (21513) {G0,W9,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 3.09/3.51 , Y, X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X )
% 3.09/3.51 ) }.
% 3.09/3.51 (21514) {G0,W8,D3,L2,V2,M2} { ! Y = X, c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 3.09/3.51 (21515) {G0,W9,D3,L2,V2,M2} { c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 3.09/3.51 Y, X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( Y ) )
% 3.09/3.51 }.
% 3.09/3.51 (21516) {G0,W9,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 3.09/3.51 , X, c_Nat_OSuc( Y ) ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 3.09/3.51 X ) }.
% 3.09/3.51 (21517) {G0,W10,D3,L3,V2,M3} { ! class_Groups_Oone( X ), !
% 3.09/3.51 c_Groups_Oone__class_Oone( X ) = Y, Y = c_Groups_Oone__class_Oone( X )
% 3.09/3.51 }.
% 3.09/3.51 (21518) {G0,W10,D3,L3,V2,M3} { ! class_Groups_Oone( X ), ! Y =
% 3.09/3.51 c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) = Y }.
% 3.09/3.51 (21519) {G0,W6,D4,L1,V0,M1} { c_NthRoot_Osqrt( c_Groups_Oone__class_Oone(
% 3.09/3.51 tc_RealDef_Oreal ) ) = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 3.09/3.51 (21520) {G0,W9,D3,L2,V1,M2} { ! c_NthRoot_Osqrt( X ) =
% 3.09/3.51 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X =
% 3.09/3.51 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 3.09/3.51 (21521) {G0,W9,D3,L2,V1,M2} { ! X = c_Groups_Oone__class_Oone(
% 3.09/3.51 tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) = c_Groups_Oone__class_Oone(
% 3.09/3.51 tc_RealDef_Oreal ) }.
% 3.09/3.51 (21522) {G0,W9,D4,L2,V1,M2} { ! class_Rings_Olinordered__idom( X ),
% 3.09/3.51 c_Groups_Oabs__class_Oabs( X, c_Groups_Oone__class_Oone( X ) ) =
% 3.09/3.51 c_Groups_Oone__class_Oone( X ) }.
% 3.09/3.51 (21523) {G0,W9,D4,L2,V2,M2} { ! class_Rings_Odivision__ring( X ),
% 3.09/3.51 c_Rings_Oinverse__class_Odivide( X, Y, c_Groups_Oone__class_Oone( X ) ) =
% 3.09/3.51 Y }.
% 3.09/3.51 (21524) {G0,W10,D4,L2,V2,M2} { ! class_Groups_Omonoid__mult( X ),
% 3.09/3.51 c_Power_Opower__class_Opower( X, c_Groups_Oone__class_Oone( X ), Y ) =
% 3.09/3.51 c_Groups_Oone__class_Oone( X ) }.
% 3.09/3.51 (21525) {G0,W16,D4,L3,V3,M3} { ! class_Rings_Olinordered__semidom( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), Y ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 3.09/3.51 c_Power_Opower__class_Opower( X, Y, c_Nat_OSuc( Z ) ) ) }.
% 3.09/3.51 (21526) {G0,W13,D3,L3,V3,M3} { ! class_Power_Opower( X ), ! Z =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 3.09/3.51 ( X, Y, Z ) = c_Groups_Oone__class_Oone( X ) }.
% 3.09/3.51 (21527) {G0,W22,D6,L3,V3,M3} { ! class_Power_Opower( X ), Z =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 3.09/3.51 ( X, Y, Z ) = c_Groups_Otimes__class_Otimes( X, Y,
% 3.09/3.51 c_Power_Opower__class_Opower( X, Y, c_Groups_Ominus__class_Ominus(
% 3.09/3.51 tc_Nat_Onat, Z, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) ) }.
% 3.09/3.51 (21528) {G0,W7,D3,L2,V1,M2} { ! class_Rings_Ozero__neq__one( X ), !
% 3.09/3.51 c_Groups_Ozero__class_Ozero( X ) = c_Groups_Oone__class_Oone( X ) }.
% 3.09/3.51 (21529) {G0,W7,D3,L2,V1,M2} { ! class_Rings_Ozero__neq__one( X ), !
% 3.09/3.51 c_Groups_Oone__class_Oone( X ) = c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.51 (21530) {G0,W9,D4,L2,V2,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( X, c_Groups_Oone__class_Oone( X ), Y ) = Y
% 3.09/3.51 }.
% 3.09/3.51 (21531) {G0,W9,D4,L2,V2,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( X, Y, c_Groups_Oone__class_Oone( X ) ) = Y
% 3.09/3.51 }.
% 3.09/3.51 (21532) {G0,W9,D4,L2,V2,M2} { ! class_Groups_Ocomm__monoid__mult( X ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( X, Y, c_Groups_Oone__class_Oone( X ) ) = Y
% 3.09/3.51 }.
% 3.09/3.51 (21533) {G0,W9,D4,L2,V2,M2} { ! class_Groups_Omonoid__mult( X ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( X, Y, c_Groups_Oone__class_Oone( X ) ) = Y
% 3.09/3.51 }.
% 3.09/3.51 (21534) {G0,W9,D4,L2,V2,M2} { ! class_Groups_Ocomm__monoid__mult( X ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( X, c_Groups_Oone__class_Oone( X ), Y ) = Y
% 3.09/3.51 }.
% 3.09/3.51 (21535) {G0,W9,D4,L2,V2,M2} { ! class_Groups_Omonoid__mult( X ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( X, c_Groups_Oone__class_Oone( X ), Y ) = Y
% 3.09/3.51 }.
% 3.09/3.51 (21536) {G0,W5,D3,L1,V0,M1} { ! c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_RealDef_Oreal ) = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 3.09/3.51 (21537) {G0,W7,D4,L1,V1,M1} { c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_RealDef_Oreal, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) = X
% 3.09/3.51 }.
% 3.09/3.51 (21538) {G0,W21,D4,L4,V3,M4} { ! class_Rings_Olinordered__semidom( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 3.09/3.51 ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Oone__class_Oone( X ) ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, c_Power_Opower__class_Opower( X, Y,
% 3.09/3.51 c_Nat_OSuc( Z ) ), c_Groups_Oone__class_Oone( X ) ) }.
% 3.09/3.51 (21539) {G0,W14,D4,L3,V2,M3} { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat
% 3.09/3.51 , Y, X ) = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 3.09/3.51 alpha31( X, Y ), alpha63( X, Y ) }.
% 3.09/3.51 (21540) {G0,W11,D4,L2,V2,M2} { ! alpha31( X, Y ),
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 3.09/3.51 (21541) {G0,W11,D4,L2,V2,M2} { ! alpha63( X, Y ),
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 3.09/3.51 (21542) {G0,W7,D3,L2,V2,M2} { ! alpha63( X, Y ), Y =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 3.09/3.51 (21543) {G0,W8,D4,L2,V2,M2} { ! alpha63( X, Y ), X = c_Nat_OSuc(
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 3.09/3.51 (21544) {G0,W12,D4,L3,V2,M3} { ! Y = c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_Nat_Onat ), ! X = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat
% 3.09/3.51 ) ), alpha63( X, Y ) }.
% 3.09/3.51 (21545) {G0,W8,D4,L2,V2,M2} { ! alpha31( X, Y ), Y = c_Nat_OSuc(
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 3.09/3.51 (21546) {G0,W7,D3,L2,V2,M2} { ! alpha31( X, Y ), X =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 3.09/3.51 (21547) {G0,W12,D4,L3,V2,M3} { ! Y = c_Nat_OSuc(
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), ! X =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha31( X, Y ) }.
% 3.09/3.51 (21548) {G0,W14,D4,L3,V2,M3} { ! c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_Nat_Onat ) ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ),
% 3.09/3.51 alpha32( X, Y ), alpha64( X, Y ) }.
% 3.09/3.51 (21549) {G0,W11,D4,L2,V2,M2} { ! alpha32( X, Y ), c_Nat_OSuc(
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) }.
% 3.09/3.51 (21550) {G0,W11,D4,L2,V2,M2} { ! alpha64( X, Y ), c_Nat_OSuc(
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) }.
% 3.09/3.51 (21551) {G0,W7,D3,L2,V2,M2} { ! alpha64( X, Y ), Y =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 3.09/3.51 (21552) {G0,W8,D4,L2,V2,M2} { ! alpha64( X, Y ), X = c_Nat_OSuc(
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 3.09/3.51 (21553) {G0,W12,D4,L3,V2,M3} { ! Y = c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_Nat_Onat ), ! X = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat
% 3.09/3.51 ) ), alpha64( X, Y ) }.
% 3.09/3.51 (21554) {G0,W8,D4,L2,V2,M2} { ! alpha32( X, Y ), Y = c_Nat_OSuc(
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 3.09/3.51 (21555) {G0,W7,D3,L2,V2,M2} { ! alpha32( X, Y ), X =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 3.09/3.51 (21556) {G0,W12,D4,L3,V2,M3} { ! Y = c_Nat_OSuc(
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), ! X =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha32( X, Y ) }.
% 3.09/3.51 (21557) {G0,W13,D3,L3,V2,M3} { !
% 3.09/3.51 class_Rings_Odivision__ring__inverse__zero( X ), ! Y =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 3.09/3.51 Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.51 (21558) {G0,W13,D3,L3,V2,M3} { !
% 3.09/3.51 class_Rings_Odivision__ring__inverse__zero( X ), Y =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 3.09/3.51 Y ) = c_Groups_Oone__class_Oone( X ) }.
% 3.09/3.51 (21559) {G0,W13,D3,L3,V2,M3} { ! class_Rings_Odivision__ring( X ), Y =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 3.09/3.51 Y ) = c_Groups_Oone__class_Oone( X ) }.
% 3.09/3.51 (21560) {G0,W16,D3,L4,V3,M4} { ! class_Rings_Odivision__ring( X ), Y =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( X ), ! c_Rings_Oinverse__class_Odivide( X, Z
% 3.09/3.51 , Y ) = c_Groups_Oone__class_Oone( X ), Z = Y }.
% 3.09/3.51 (21561) {G0,W16,D3,L4,V3,M4} { ! class_Rings_Odivision__ring( X ), Y =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( X ), ! Z = Y,
% 3.09/3.51 c_Rings_Oinverse__class_Odivide( X, Z, Y ) = c_Groups_Oone__class_Oone( X
% 3.09/3.51 ) }.
% 3.09/3.51 (21562) {G0,W10,D4,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ), X =
% 3.09/3.51 c_Nat_OSuc( skol8( X ) ) }.
% 3.09/3.51 (21563) {G0,W9,D3,L2,V2,M2} { ! X = c_Nat_OSuc( Y ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_Nat_Onat ), X ) }.
% 3.09/3.51 (21564) {G0,W10,D4,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, X, c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) )
% 3.09/3.51 ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 3.09/3.51 (21565) {G0,W10,D4,L2,V1,M2} { ! X = c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_Nat_Onat ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc
% 3.09/3.51 ( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) }.
% 3.09/3.51 (21566) {G0,W12,D3,L3,V2,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, Y, c_Nat_OSuc( X ) ), Y = c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_Nat_Onat ), alpha33( X, Y ) }.
% 3.09/3.51 (21567) {G0,W9,D3,L2,V2,M2} { ! Y = c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_Nat_Onat ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc
% 3.09/3.51 ( X ) ) }.
% 3.09/3.51 (21568) {G0,W8,D3,L2,V2,M2} { ! alpha33( X, Y ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 3.09/3.51 (21569) {G0,W9,D4,L2,V3,M2} { ! alpha33( X, Y ), Y = c_Nat_OSuc( skol9( Z
% 3.09/3.51 , Y ) ) }.
% 3.09/3.51 (21570) {G0,W9,D3,L2,V2,M2} { ! alpha33( X, Y ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, skol9( X, Y ), X ) }.
% 3.09/3.51 (21571) {G0,W11,D3,L3,V3,M3} { ! Y = c_Nat_OSuc( Z ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X ), alpha33( X, Y ) }.
% 3.09/3.51 (21572) {G0,W16,D5,L3,V1,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, X, c_Nat_OSuc( c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_Nat_Onat ) ) ) ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X =
% 3.09/3.51 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 3.09/3.51 (21573) {G0,W19,D3,L4,V4,M4} { ! class_Rings_Olinordered__semidom( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), Y ), !
% 3.09/3.51 c_Power_Opower__class_Opower( X, Y, T ) = c_Power_Opower__class_Opower( X
% 3.09/3.51 , Y, Z ), T = Z }.
% 3.09/3.51 (21574) {G0,W19,D3,L4,V4,M4} { ! class_Rings_Olinordered__semidom( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), Y ), !
% 3.09/3.51 T = Z, c_Power_Opower__class_Opower( X, Y, T ) =
% 3.09/3.51 c_Power_Opower__class_Opower( X, Y, Z ) }.
% 3.09/3.51 (21575) {G0,W16,D5,L2,V2,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 3.09/3.51 c_Groups_Oplus__class_Oplus( X, Y, Y ) = c_Groups_Otimes__class_Otimes( X
% 3.09/3.51 , c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 3.09/3.51 c_Groups_Oone__class_Oone( X ) ), Y ) }.
% 3.09/3.51 (21576) {G0,W18,D5,L2,V3,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 3.09/3.51 c_Groups_Oplus__class_Oplus( X, Z, c_Groups_Otimes__class_Otimes( X, Y, Z
% 3.09/3.51 ) ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X,
% 3.09/3.51 Y, c_Groups_Oone__class_Oone( X ) ), Z ) }.
% 3.09/3.51 (21577) {G0,W18,D5,L2,V3,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 3.09/3.51 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Y )
% 3.09/3.51 , Y ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X
% 3.09/3.51 , Z, c_Groups_Oone__class_Oone( X ) ), Y ) }.
% 3.09/3.51 (21578) {G0,W10,D4,L2,V2,M2} { ! class_Rings_Olinordered__semidom( X ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Oplus__class_Oplus( X, Y,
% 3.09/3.51 c_Groups_Oone__class_Oone( X ) ) ) }.
% 3.09/3.51 (21579) {G0,W15,D4,L2,V3,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( X, c_Power_Opower__class_Opower( X, Z, Y )
% 3.09/3.51 , Z ) = c_Power_Opower__class_Opower( X, Z, c_Nat_OSuc( Y ) ) }.
% 3.09/3.51 (21580) {G0,W15,D4,L2,V3,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( X, Z, c_Power_Opower__class_Opower( X, Z,
% 3.09/3.51 Y ) ) = c_Power_Opower__class_Opower( X, Z, c_Nat_OSuc( Y ) ) }.
% 3.09/3.51 (21581) {G0,W15,D4,L2,V3,M2} { ! class_Groups_Omonoid__mult( X ),
% 3.09/3.51 c_Power_Opower__class_Opower( X, Z, c_Nat_OSuc( Y ) ) =
% 3.09/3.51 c_Groups_Otimes__class_Otimes( X, c_Power_Opower__class_Opower( X, Z, Y )
% 3.09/3.51 , Z ) }.
% 3.09/3.51 (21582) {G0,W15,D4,L2,V3,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 3.09/3.51 c_Power_Opower__class_Opower( X, Z, c_Nat_OSuc( Y ) ) =
% 3.09/3.51 c_Groups_Otimes__class_Otimes( X, Z, c_Power_Opower__class_Opower( X, Z,
% 3.09/3.51 Y ) ) }.
% 3.09/3.51 (21583) {G0,W15,D4,L2,V3,M2} { ! class_Power_Opower( X ),
% 3.09/3.51 c_Power_Opower__class_Opower( X, Z, c_Nat_OSuc( Y ) ) =
% 3.09/3.51 c_Groups_Otimes__class_Otimes( X, Z, c_Power_Opower__class_Opower( X, Z,
% 3.09/3.51 Y ) ) }.
% 3.09/3.51 (21584) {G0,W20,D3,L4,V3,M4} { ! class_Rings_Olinordered__semidom( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), Y ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), Z ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 3.09/3.51 (21585) {G0,W13,D4,L3,V2,M3} { ! class_Power_Opower( X ), !
% 3.09/3.51 class_Rings_Osemiring__0( X ), c_Power_Opower__class_Opower( X,
% 3.09/3.51 c_Groups_Ozero__class_Ozero( X ), c_Nat_OSuc( Y ) ) =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.51 (21586) {G0,W8,D3,L2,V1,M2} { ! class_Rings_Olinordered__semidom( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 3.09/3.51 c_Groups_Ozero__class_Ozero( X ) ) }.
% 3.09/3.51 (21587) {G0,W8,D3,L2,V1,M2} { ! class_Rings_Olinordered__semidom( X ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.51 c_Groups_Oone__class_Oone( X ) ) }.
% 3.09/3.51 (21588) {G0,W25,D5,L3,V4,M3} { ! class_Groups_Omonoid__mult( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ),
% 3.09/3.51 c_Power_Opower__class_Opower( X, T, c_Groups_Ominus__class_Ominus(
% 3.09/3.51 tc_Nat_Onat, c_Nat_OSuc( Y ), Z ) ) = c_Groups_Otimes__class_Otimes( X,
% 3.09/3.51 c_Power_Opower__class_Opower( X, T, c_Groups_Ominus__class_Ominus(
% 3.09/3.51 tc_Nat_Onat, Y, Z ) ), T ) }.
% 3.09/3.51 (21589) {G0,W23,D4,L4,V4,M4} { ! class_Rings_Olinordered__semidom( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X, Z
% 3.09/3.51 , c_Nat_OSuc( T ) ), c_Power_Opower__class_Opower( X, Y, c_Nat_OSuc( T )
% 3.09/3.51 ) ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 3.09/3.51 ( X ), Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 3.09/3.51 (21590) {G0,W26,D4,L5,V4,M5} { ! class_Rings_Olinordered__semidom( X ), !
% 3.09/3.51 c_Power_Opower__class_Opower( X, Z, c_Nat_OSuc( T ) ) =
% 3.09/3.51 c_Power_Opower__class_Opower( X, Y, c_Nat_OSuc( T ) ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 3.09/3.51 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 3.09/3.51 X ), Y ), Z = Y }.
% 3.09/3.51 (21591) {G0,W24,D3,L5,V3,M5} { ! class_Rings_Olinordered__idom( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 3.09/3.51 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 3.09/3.51 X ), Z ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 3.09/3.51 c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( X, Y, Z ), Y ) }.
% 3.09/3.51 (21592) {G0,W24,D3,L5,V3,M5} { ! class_Rings_Olinordered__idom( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 3.09/3.51 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 3.09/3.51 X ), Z ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 3.09/3.51 c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( X, Z, Y ), Y ) }.
% 3.09/3.51 (21593) {G0,W12,D4,L2,V1,M2} { ! class_Rings_Olinordered__semidom( X ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.51 c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 3.09/3.51 c_Groups_Oone__class_Oone( X ) ) ) }.
% 3.09/3.51 (21594) {G0,W23,D5,L2,V2,M2} { ! class_Rings_Oring__1( X ),
% 3.09/3.51 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, Y, Y
% 3.09/3.51 ), c_Groups_Oone__class_Oone( X ) ) = c_Groups_Otimes__class_Otimes( X,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( X, Y, c_Groups_Oone__class_Oone( X ) ),
% 3.09/3.51 c_Groups_Ominus__class_Ominus( X, Y, c_Groups_Oone__class_Oone( X ) ) )
% 3.09/3.51 }.
% 3.09/3.51 (21595) {G0,W18,D4,L3,V3,M3} { ! class_Rings_Olinordered__semidom( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), Y ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( X, Y, c_Power_Opower__class_Opower( X, Y,
% 3.09/3.51 Z ) ) ) }.
% 3.09/3.51 (21596) {G0,W20,D4,L3,V3,M3} { ! class_Rings_Olinordered__semidom( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), Y ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, c_Power_Opower__class_Opower( X, Y, Z )
% 3.09/3.51 , c_Groups_Otimes__class_Otimes( X, Y, c_Power_Opower__class_Opower( X, Y
% 3.09/3.51 , Z ) ) ) }.
% 3.09/3.51 (21597) {G0,W16,D4,L4,V2,M4} { ! class_Power_Opower( X ), !
% 3.09/3.51 class_Rings_Osemiring__0( X ), ! Y = c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_Nat_Onat ), c_Power_Opower__class_Opower( X,
% 3.09/3.51 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Oone__class_Oone( X )
% 3.09/3.51 }.
% 3.09/3.51 (21598) {G0,W16,D4,L4,V2,M4} { ! class_Power_Opower( X ), !
% 3.09/3.51 class_Rings_Osemiring__0( X ), Y = c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_Nat_Onat ), c_Power_Opower__class_Opower( X,
% 3.09/3.51 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 3.09/3.51 }.
% 3.09/3.51 (21599) {G0,W21,D5,L3,V3,M3} { ! class_Fields_Olinordered__field( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 3.09/3.51 X, c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z
% 3.09/3.51 , Y ), c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 3.09/3.51 c_Groups_Oone__class_Oone( X ) ) ), Y ) }.
% 3.09/3.51 (21600) {G0,W21,D5,L3,V3,M3} { ! class_Fields_Olinordered__field( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 3.09/3.51 X, Z, c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X
% 3.09/3.51 , Z, Y ), c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X )
% 3.09/3.51 , c_Groups_Oone__class_Oone( X ) ) ) ) }.
% 3.09/3.51 (21601) {G0,W19,D5,L2,V2,M2} { ! class_Int_Onumber__ring( X ),
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( Y ) ) =
% 3.09/3.51 c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X,
% 3.09/3.51 c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X, Y )
% 3.09/3.51 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 3.09/3.51 (21602) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__semidom( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), Y ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, c_Power_Opower__class_Opower( X, Y, T )
% 3.09/3.51 , c_Power_Opower__class_Opower( X, Y, Z ) ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ) }.
% 3.09/3.51 (21603) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__semidom( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), Y ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, c_Power_Opower__class_Opower( X, Y, T )
% 3.09/3.51 , c_Power_Opower__class_Opower( X, Y, Z ) ) }.
% 3.09/3.51 (21604) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__semidom( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), Y ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, c_Power_Opower__class_Opower( X, Y, T )
% 3.09/3.51 , c_Power_Opower__class_Opower( X, Y, Z ) ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ) }.
% 3.09/3.51 (21605) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__semidom( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), T ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, c_Power_Opower__class_Opower( X, T, Z )
% 3.09/3.51 , c_Power_Opower__class_Opower( X, T, Y ) ) }.
% 3.09/3.51 (21606) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__semidom( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ), T )
% 3.09/3.51 , c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X,
% 3.09/3.51 T, Z ), c_Power_Opower__class_Opower( X, T, Y ) ) }.
% 3.09/3.51 (21607) {G0,W9,D4,L2,V1,M2} { ! class_Int_Onumber__ring( X ),
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ) =
% 3.09/3.51 c_Groups_Oone__class_Oone( X ) }.
% 3.09/3.51 (21608) {G0,W9,D4,L2,V1,M2} { ! class_Int_Onumber__ring( X ),
% 3.09/3.51 c_Groups_Oone__class_Oone( X ) = c_Int_Onumber__class_Onumber__of( X,
% 3.09/3.51 c_Int_OBit1( c_Int_OPls ) ) }.
% 3.09/3.51 (21609) {G0,W21,D4,L3,V2,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X
% 3.09/3.51 ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 3.09/3.51 (21610) {G0,W19,D4,L3,V2,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X
% 3.09/3.51 ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 3.09/3.51 (21611) {G0,W19,D4,L3,V2,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X
% 3.09/3.51 ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 3.09/3.51 (21612) {G0,W13,D4,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 3.09/3.51 ( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ), X ) }.
% 3.09/3.51 (21613) {G0,W14,D6,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ), c_Nat_OSuc
% 3.09/3.51 ( c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, c_Nat_OSuc(
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) ) = X }.
% 3.09/3.51 (21614) {G0,W15,D4,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y ) }.
% 3.09/3.51 (21615) {G0,W15,D4,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ) }.
% 3.09/3.51 (21616) {G0,W21,D4,L3,V2,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y
% 3.09/3.51 ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 3.09/3.51 (21617) {G0,W21,D5,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 3.09/3.51 c_Nat_OSuc( c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ), Z ) =
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( X ),
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ) ) }.
% 3.09/3.51 (21618) {G0,W21,D5,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, Y, X ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z,
% 3.09/3.51 c_Nat_OSuc( c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) ) =
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 3.09/3.51 tc_Nat_Onat, Z, Y ), c_Nat_OSuc( X ) ) }.
% 3.09/3.51 (21619) {G0,W15,D4,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X
% 3.09/3.51 ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 3.09/3.51 c_Power_Opower__class_Opower( tc_Nat_Onat, X, Y ) ) }.
% 3.09/3.51 (21620) {G0,W10,D4,L1,V1,M1} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 3.09/3.51 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ),
% 3.09/3.51 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), X ) }.
% 3.09/3.51 (21621) {G0,W40,D4,L7,V6,M7} { ! class_Rings_Olinordered__semiring__1( X )
% 3.09/3.51 , ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, T, Y ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 3.09/3.51 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 3.09/3.51 X ), W ), ! c_Groups_Oplus__class_Oplus( X, U, W ) =
% 3.09/3.51 c_Groups_Oone__class_Oone( X ), c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Z )
% 3.09/3.51 , c_Groups_Otimes__class_Otimes( X, W, T ) ), Y ) }.
% 3.09/3.51 (21622) {G0,W25,D4,L4,V3,M4} { ! class_Rings_Olinordered__semidom( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 3.09/3.51 ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Oone__class_Oone( X ) ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 3.09/3.51 c_Power_Opower__class_Opower( X, Y, Z ) ), c_Power_Opower__class_Opower(
% 3.09/3.51 X, Y, Z ) ) }.
% 3.09/3.51 (21623) {G0,W26,D3,L5,V4,M5} { ! class_Rings_Olinordered__semidom( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 3.09/3.51 ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Oone__class_Oone( X ) ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, c_Power_Opower__class_Opower( X, T, Y )
% 3.09/3.51 , c_Power_Opower__class_Opower( X, T, Z ) ) }.
% 3.09/3.51 (21624) {G0,W18,D5,L2,V2,M2} { ! class_Int_Onumber__ring( X ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X,
% 3.09/3.51 c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ),
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( Y ) ) }.
% 3.09/3.51 (21625) {G0,W26,D3,L5,V4,M5} { ! class_Rings_Olinordered__semidom( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 3.09/3.51 ), ! c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oone__class_Oone
% 3.09/3.51 ( X ) ), c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.51 c_Power_Opower__class_Opower( X, T, Y ), c_Power_Opower__class_Opower( X
% 3.09/3.51 , T, Z ) ) }.
% 3.09/3.51 (21626) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__semidom( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), Y ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X, Y
% 3.09/3.51 , T ), c_Power_Opower__class_Opower( X, Y, Z ) ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ) }.
% 3.09/3.51 (21627) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__semidom( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), Y ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X, Y
% 3.09/3.51 , T ), c_Power_Opower__class_Opower( X, Y, Z ) ) }.
% 3.09/3.51 (21628) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__semidom( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), Y ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X, Y
% 3.09/3.51 , T ), c_Power_Opower__class_Opower( X, Y, Z ) ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ) }.
% 3.09/3.51 (21629) {G0,W11,D6,L1,V0,M1} { c_Int_Onumber__class_Onumber__of(
% 3.09/3.51 tc_Nat_Onat, c_Int_OBit1( c_Int_OBit1( c_Int_OPls ) ) ) = c_Nat_OSuc(
% 3.09/3.51 c_Nat_OSuc( c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) )
% 3.09/3.51 }.
% 3.09/3.51 (21630) {G0,W8,D4,L1,V0,M1} { c_Int_Onumber__class_Onumber__of(
% 3.09/3.51 tc_Nat_Onat, c_Int_OBit1( c_Int_OPls ) ) = c_Nat_OSuc(
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 3.09/3.51 (21631) {G0,W20,D3,L4,V3,M4} { ! class_Rings_Olinordered__semidom( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), Y ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless( X,
% 3.09/3.51 c_Groups_Oone__class_Oone( X ), c_Power_Opower__class_Opower( X, Y, Z ) )
% 3.09/3.51 }.
% 3.09/3.51 (21632) {G0,W20,D4,L4,V2,M4} { ! class_Power_Opower( X ), !
% 3.09/3.51 class_Rings_Osemiring__0( X ), ! c_Int_Onumber__class_Onumber__of(
% 3.09/3.51 tc_Nat_Onat, Y ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 3.09/3.51 c_Power_Opower__class_Opower( X, c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) ) =
% 3.09/3.51 c_Groups_Oone__class_Oone( X ) }.
% 3.09/3.51 (21633) {G0,W20,D4,L4,V2,M4} { ! class_Power_Opower( X ), !
% 3.09/3.51 class_Rings_Osemiring__0( X ), c_Int_Onumber__class_Onumber__of(
% 3.09/3.51 tc_Nat_Onat, Y ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 3.09/3.51 c_Power_Opower__class_Opower( X, c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) ) =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( X ) }.
% 3.09/3.51 (21634) {G0,W13,D6,L1,V1,M1} { c_Nat_OSuc( c_Nat_OSuc( c_Nat_OSuc( X ) ) )
% 3.09/3.51 = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OBit1(
% 3.09/3.51 c_Int_OPls ) ) ), X ) }.
% 3.09/3.51 (21635) {G0,W11,D4,L1,V1,M1} { c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oone__class_Oone
% 3.09/3.51 ( tc_RealDef_Oreal ), c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) )
% 3.09/3.51 ) }.
% 3.09/3.51 (21636) {G0,W40,D4,L7,V6,M7} { !
% 3.09/3.51 class_Rings_Olinordered__semiring__1__strict( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 3.09/3.51 ( X, T, Y ), ! c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.51 c_Groups_Ozero__class_Ozero( X ), U ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), W
% 3.09/3.51 ), ! c_Groups_Oplus__class_Oplus( X, U, W ) = c_Groups_Oone__class_Oone
% 3.09/3.51 ( X ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 3.09/3.51 X, W, T ) ), Y ) }.
% 3.09/3.51 (21637) {G0,W29,D7,L2,V3,M2} { ! class_Rings_Ocomm__ring__1( X ),
% 3.09/3.51 c_Groups_Ominus__class_Ominus( X, c_Power_Opower__class_Opower( X, Z,
% 3.09/3.51 c_Nat_OSuc( c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) )
% 3.09/3.51 , c_Power_Opower__class_Opower( X, Y, c_Nat_OSuc( c_Nat_OSuc(
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) ) ) =
% 3.09/3.51 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, Z, Y
% 3.09/3.51 ), c_Groups_Oplus__class_Oplus( X, Z, Y ) ) }.
% 3.09/3.51 (21638) {G0,W10,D5,L1,V0,M1} { c_Int_Onumber__class_Onumber__of(
% 3.09/3.51 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) = c_Nat_OSuc(
% 3.09/3.51 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) }.
% 3.09/3.51 (21639) {G0,W10,D5,L1,V0,M1} { c_Nat_OSuc( c_Nat_OSuc(
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) =
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.51 c_Int_OPls ) ) ) }.
% 3.09/3.51 (21640) {G0,W16,D3,L4,V2,M4} { ! class_Int_Onumber__ring( X ), !
% 3.09/3.51 class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 X, c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Oone__class_Oone( X
% 3.09/3.51 ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OBit1(
% 3.09/3.51 c_Int_OPls ) ) }.
% 3.09/3.51 (21641) {G0,W16,D3,L4,V2,M4} { ! class_Int_Onumber__ring( X ), !
% 3.09/3.51 class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls ) ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 3.09/3.51 , Y ), c_Groups_Oone__class_Oone( X ) ) }.
% 3.09/3.51 (21642) {G0,W16,D3,L4,V2,M4} { ! class_Int_Onumber__ring( X ), !
% 3.09/3.51 class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 X, c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 3.09/3.51 ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1(
% 3.09/3.51 c_Int_OPls ), Y ) }.
% 3.09/3.51 (21643) {G0,W16,D3,L4,V2,M4} { ! class_Int_Onumber__ring( X ), !
% 3.09/3.51 class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 3.09/3.51 (21644) {G0,W14,D5,L2,V1,M2} { ! class_Int_Onumber__ring( X ),
% 3.09/3.51 c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 3.09/3.51 c_Groups_Oone__class_Oone( X ) ) = c_Int_Onumber__class_Onumber__of( X,
% 3.09/3.51 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) }.
% 3.09/3.51 (21645) {G0,W12,D6,L1,V1,M1} { c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.51 c_Int_OPls ) ) ), X ) = c_Nat_OSuc( c_Nat_OSuc( X ) ) }.
% 3.09/3.51 (21646) {G0,W12,D6,L1,V1,M1} { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X
% 3.09/3.51 , c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1
% 3.09/3.51 ( c_Int_OPls ) ) ) ) = c_Nat_OSuc( c_Nat_OSuc( X ) ) }.
% 3.09/3.51 (21647) {G0,W16,D3,L4,V2,M4} { ! class_Int_Onumber__ring( X ), !
% 3.09/3.51 class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Oone__class_Oone( X )
% 3.09/3.51 ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OBit1(
% 3.09/3.51 c_Int_OPls ) ) }.
% 3.09/3.51 (21648) {G0,W16,D3,L4,V2,M4} { ! class_Int_Onumber__ring( X ), !
% 3.09/3.51 class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls ) ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 3.09/3.51 ), c_Groups_Oone__class_Oone( X ) ) }.
% 3.09/3.51 (21649) {G0,W16,D3,L4,V2,M4} { ! class_Int_Onumber__ring( X ), !
% 3.09/3.51 class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X,
% 3.09/3.51 c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X, Y )
% 3.09/3.51 ), c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 3.09/3.51 , Y ) }.
% 3.09/3.51 (21650) {G0,W16,D3,L4,V2,M4} { ! class_Int_Onumber__ring( X ), !
% 3.09/3.51 class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 3.09/3.51 (21651) {G0,W22,D6,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OPls )
% 3.09/3.51 , X ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) =
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y,
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 3.09/3.51 ) ) ) }.
% 3.09/3.51 (21652) {G0,W17,D5,L2,V2,M2} { ! class_Int_Onumber__ring( X ),
% 3.09/3.51 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X, Y )
% 3.09/3.51 , c_Groups_Oone__class_Oone( X ) ) = c_Int_Onumber__class_Onumber__of( X
% 3.09/3.51 , c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls )
% 3.09/3.51 ) ) }.
% 3.09/3.51 (21653) {G0,W17,D5,L2,V2,M2} { ! class_Int_Onumber__ring( X ),
% 3.09/3.51 c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 3.09/3.51 tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y ) ) }.
% 3.09/3.51 (21654) {G0,W14,D6,L2,V1,M2} { ! class_Rings_Osemiring__1( X ),
% 3.09/3.51 c_Power_Opower__class_Opower( X, c_Groups_Oone__class_Oone( X ),
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.51 c_Int_OPls ) ) ) ) = c_Groups_Oone__class_Oone( X ) }.
% 3.09/3.51 (21655) {G0,W19,D6,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ),
% 3.09/3.51 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 3.09/3.51 c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.51 c_Int_OPls ) ) ) ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 3.09/3.51 (21656) {G0,W17,D5,L3,V1,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Nat_Onat, X, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 3.09/3.51 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ), X =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X = c_Nat_OSuc(
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 3.09/3.51 (21657) {G0,W12,D6,L1,V1,M1} { c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_RealDef_Oreal, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ),
% 3.09/3.51 c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.09/3.51 c_Int_OBit1( c_Int_OPls ) ) ), X ) ) }.
% 3.09/3.51 (21658) {G0,W10,D6,L1,V0,M1} { c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_RealDef_Oreal, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ),
% 3.09/3.51 c_NthRoot_Osqrt( c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 3.09/3.51 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 3.09/3.51 (21659) {G0,W17,D6,L3,V1,M3} { !
% 3.09/3.51 class_Fields_Olinordered__field__inverse__zero( X ), !
% 3.09/3.51 class_Int_Onumber__ring( X ), c_Orderings_Oord__class_Oless( X,
% 3.09/3.51 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 3.09/3.51 c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X,
% 3.09/3.51 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 3.09/3.51 (21660) {G0,W29,D8,L2,V3,M2} { ! class_Groups_Omonoid__mult( X ),
% 3.09/3.51 c_Power_Opower__class_Opower( X, Z, c_Nat_OSuc(
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.51 c_Int_OPls ) ) ), Y ) ) ) = c_Groups_Otimes__class_Otimes( X, Z,
% 3.09/3.51 c_Power_Opower__class_Opower( X, c_Power_Opower__class_Opower( X, Z, Y )
% 3.09/3.51 , c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1
% 3.09/3.51 ( c_Int_OPls ) ) ) ) ) }.
% 3.09/3.51 (21661) {G0,W28,D8,L2,V3,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 3.09/3.51 c_Power_Opower__class_Opower( X, Z, c_Nat_OSuc(
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.51 c_Int_OPls ) ) ), Y ) ) ) = c_Groups_Otimes__class_Otimes( X, Z,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( X, c_Power_Opower__class_Opower( X, Z, Y )
% 3.09/3.51 , c_Power_Opower__class_Opower( X, Z, Y ) ) ) }.
% 3.09/3.51 (21662) {G0,W23,D8,L3,V3,M3} { ! class_Rings_Olinordered__idom( X ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 3.09/3.51 c_Power_Opower__class_Opower( X, Y, c_Nat_OSuc(
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.51 c_Int_OPls ) ) ), Z ) ) ) ), c_Orderings_Oord__class_Oless__eq( X,
% 3.09/3.51 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 3.09/3.51 (21663) {G0,W31,D12,L1,V1,M1} { c_Transcendental_Oarctan( X ) =
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.09/3.51 c_Int_OBit1( c_Int_OPls ) ) ), c_Transcendental_Oarctan(
% 3.09/3.51 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oone__class_Oone
% 3.09/3.51 ( tc_RealDef_Oreal ), c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus(
% 3.09/3.51 tc_RealDef_Oreal, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ),
% 3.09/3.51 c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.51 c_Int_OPls ) ) ) ) ) ) ) ) ) ) }.
% 3.09/3.51 (21664) {G0,W36,D6,L3,V2,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ),
% 3.09/3.51 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), !
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 3.09/3.51 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ),
% 3.09/3.51 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Transcendental_Oarctan(
% 3.09/3.51 X ), c_Transcendental_Oarctan( Y ) ) = c_Transcendental_Oarctan(
% 3.09/3.51 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X, Y ),
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 3.09/3.51 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) ) ) }.
% 3.09/3.51 (21665) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_RealDef_Oreal, Y, X ), c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_RealDef_Oreal, c_Transcendental_Oarctan( Y ), c_Transcendental_Oarctan
% 3.09/3.51 ( X ) ) }.
% 3.09/3.51 (21666) {G0,W14,D3,L3,V2,M3} { ! Y = c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Nat_Onat, Y, X ), X = c_Groups_Oone__class_Oone( tc_Nat_Onat ), Y =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 3.09/3.51 (21667) {G0,W6,D3,L1,V0,M1} { c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 3.09/3.51 c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 3.09/3.51 (21668) {G0,W6,D3,L1,V0,M1} { c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oone__class_Oone(
% 3.09/3.51 tc_Int_Oint ) ) }.
% 3.09/3.51 (21669) {G0,W11,D5,L1,V1,M1} { c_Int_OBit1( X ) =
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 3.09/3.51 tc_Int_Oint, c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ) }.
% 3.09/3.51 (21670) {G0,W11,D5,L1,V1,M1} { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint
% 3.09/3.51 , c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oone__class_Oone(
% 3.09/3.51 tc_Int_Oint ), X ), X ) = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 3.09/3.51 (21671) {G0,W15,D4,L3,V2,M3} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Int_Oint, Y, c_Groups_Oplus__class_Oplus( tc_Int_Oint, X,
% 3.09/3.51 c_Groups_Oone__class_Oone( tc_Int_Oint ) ) ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), Y = X }.
% 3.09/3.51 (21672) {G0,W12,D4,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 3.09/3.51 tc_Int_Oint ) ) ) }.
% 3.09/3.51 (21673) {G0,W11,D4,L2,V2,M2} { ! Y = X, c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Int_Oint, Y, c_Groups_Oplus__class_Oplus( tc_Int_Oint, X,
% 3.09/3.51 c_Groups_Oone__class_Oone( tc_Int_Oint ) ) ) }.
% 3.09/3.51 (21674) {G0,W15,D4,L2,V2,M2} { ! c_Groups_Oabs__class_Oabs( tc_Int_Oint,
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y ) ) =
% 3.09/3.51 c_Groups_Oone__class_Oone( tc_Int_Oint ), c_Groups_Oabs__class_Oabs(
% 3.09/3.51 tc_Int_Oint, X ) = c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 3.09/3.51 (21675) {G0,W7,D4,L1,V1,M1} { c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Oone__class_Oone( tc_Nat_Onat ), X ) = X }.
% 3.09/3.51 (21676) {G0,W11,D3,L2,V2,M2} { ! c_Groups_Oone__class_Oone( tc_Nat_Onat )
% 3.09/3.51 = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ), Y =
% 3.09/3.51 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 3.09/3.51 (21677) {G0,W11,D3,L2,V2,M2} { ! c_Groups_Oone__class_Oone( tc_Nat_Onat )
% 3.09/3.51 = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ), X =
% 3.09/3.51 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 3.09/3.51 (21678) {G0,W15,D3,L3,V2,M3} { ! Y = c_Groups_Oone__class_Oone(
% 3.09/3.51 tc_Nat_Onat ), ! X = c_Groups_Oone__class_Oone( tc_Nat_Onat ),
% 3.09/3.51 c_Groups_Oone__class_Oone( tc_Nat_Onat ) = c_Groups_Otimes__class_Otimes
% 3.09/3.51 ( tc_Nat_Onat, Y, X ) }.
% 3.09/3.51 (21679) {G0,W7,D4,L1,V1,M1} { c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 3.09/3.51 X, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) = X }.
% 3.09/3.51 (21680) {G0,W11,D3,L2,V2,M2} { ! c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Nat_Onat, Y, X ) = c_Groups_Oone__class_Oone( tc_Nat_Onat ), Y =
% 3.09/3.51 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 3.09/3.51 (21681) {G0,W11,D3,L2,V2,M2} { ! c_Groups_Otimes__class_Otimes(
% 3.09/3.51 tc_Nat_Onat, Y, X ) = c_Groups_Oone__class_Oone( tc_Nat_Onat ), X =
% 3.09/3.51 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 3.09/3.51 (21682) {G0,W15,D3,L3,V2,M3} { ! Y = c_Groups_Oone__class_Oone(
% 3.09/3.51 tc_Nat_Onat ), ! X = c_Groups_Oone__class_Oone( tc_Nat_Onat ),
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 3.09/3.51 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 3.09/3.51 (21683) {G0,W8,D4,L1,V1,M1} { c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 3.09/3.51 c_Nat_OSuc( X ), c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) = X }.
% 3.09/3.51 (21684) {G0,W6,D4,L1,V0,M1} { c_Groups_Oone__class_Oone( tc_Nat_Onat ) =
% 3.09/3.51 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 3.09/3.51 (21685) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_RealDef_Oreal, Y, X ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal
% 3.09/3.51 , c_Transcendental_Oarctan( Y ), c_Transcendental_Oarctan( X ) ) }.
% 3.09/3.51 (21686) {G0,W9,D4,L2,V2,M2} { ! class_Groups_Omonoid__mult( X ),
% 3.09/3.51 c_Power_Opower__class_Opower( X, Y, c_Groups_Oone__class_Oone(
% 3.09/3.51 tc_Nat_Onat ) ) = Y }.
% 3.09/3.51 (21687) {G0,W9,D4,L2,V2,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 3.09/3.51 c_Power_Opower__class_Opower( X, Y, c_Groups_Oone__class_Oone(
% 3.09/3.51 tc_Nat_Onat ) ) = Y }.
% 3.09/3.51 (21688) {G0,W14,D5,L1,V2,M1} { c_Groups_Ominus__class_Ominus( tc_Nat_Onat
% 3.09/3.51 , Y, c_Nat_OSuc( X ) ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 3.09/3.51 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, c_Groups_Oone__class_Oone
% 3.09/3.51 ( tc_Nat_Onat ) ), X ) }.
% 3.09/3.51 (21689) {G0,W5,D3,L1,V0,M1} { ! c_Groups_Ozero__class_Ozero( tc_Int_Oint )
% 3.09/3.51 = c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 3.09/3.51 (21690) {G0,W6,D4,L1,V0,M1} { c_Transcendental_Oarctan(
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) =
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 3.09/3.51 (21691) {G0,W7,D4,L1,V1,M1} { c_Groups_Otimes__class_Otimes( tc_Int_Oint,
% 3.09/3.51 X, c_Groups_Oone__class_Oone( tc_Int_Oint ) ) = X }.
% 3.09/3.51 (21692) {G0,W7,D4,L1,V1,M1} { c_Groups_Otimes__class_Otimes( tc_Int_Oint,
% 3.09/3.51 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ) = X }.
% 3.09/3.51 (21693) {G0,W8,D4,L1,V1,M1} { c_Nat_OSuc( X ) =
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Oone__class_Oone(
% 3.09/3.51 tc_Nat_Onat ), X ) }.
% 3.09/3.51 (21694) {G0,W8,D4,L1,V1,M1} { c_Nat_OSuc( X ) =
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, c_Groups_Oone__class_Oone(
% 3.09/3.51 tc_Nat_Onat ) ) }.
% 3.09/3.51 (21695) {G0,W7,D4,L1,V0,M1} { c_Groups_Oone__class_Oone( tc_Nat_Onat ) =
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 3.09/3.51 ) }.
% 3.09/3.51 (21696) {G0,W7,D4,L1,V0,M1} { c_Int_Onumber__class_Onumber__of(
% 3.09/3.51 tc_Nat_Onat, c_Int_OBit1( c_Int_OPls ) ) = c_Groups_Oone__class_Oone(
% 3.09/3.51 tc_Nat_Onat ) }.
% 3.09/3.51 (21697) {G0,W7,D4,L1,V0,M1} { c_Groups_Oone__class_Oone( tc_Int_Oint ) =
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 3.09/3.51 ) }.
% 3.09/3.51 (21698) {G0,W10,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 3.09/3.51 tc_Int_Oint, c_Groups_Oone__class_Oone( tc_Int_Oint ), X ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 3.09/3.51 tc_Int_Oint ), X ) }.
% 3.09/3.51 (21699) {G0,W10,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ),
% 3.09/3.51 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Groups_Oone__class_Oone
% 3.09/3.51 ( tc_Int_Oint ), X ) }.
% 3.09/3.51 (21700) {G0,W17,D5,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oone__class_Oone(
% 3.09/3.51 tc_Int_Oint ), X ), X ), c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 3.09/3.51 (21701) {G0,W17,D5,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 3.09/3.51 tc_Int_Oint, X, c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 3.09/3.51 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 3.09/3.51 tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 3.09/3.51 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ),
% 3.09/3.51 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 3.09/3.51 (21702) {G0,W6,D3,L2,V2,M2} { ! class_Orderings_Opreorder( X ),
% 3.09/3.51 class_Orderings_Opreorder( tc_fun( Y, X ) ) }.
% 3.09/3.51 (21703) {G0,W6,D3,L2,V2,M2} { ! class_Orderings_Oorder( X ),
% 3.09/3.51 class_Orderings_Oorder( tc_fun( Y, X ) ) }.
% 3.09/3.51 (21704) {G0,W6,D3,L2,V2,M2} { ! class_Orderings_Oord( X ),
% 3.09/3.51 class_Orderings_Oord( tc_fun( Y, X ) ) }.
% 3.09/3.51 (21705) {G0,W2,D2,L1,V0,M1} {
% 3.09/3.51 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 3.09/3.51 tc_Int_Oint ) }.
% 3.09/3.51 (21706) {G0,W2,D2,L1,V0,M1} {
% 3.09/3.51 class_Groups_Oordered__cancel__ab__semigroup__add( tc_Int_Oint ) }.
% 3.09/3.51 (21707) {G0,W2,D2,L1,V0,M1} {
% 3.09/3.51 class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Int_Oint ) }.
% 3.09/3.51 (21708) {G0,W2,D2,L1,V0,M1} {
% 3.09/3.51 class_Rings_Olinordered__comm__semiring__strict( tc_Int_Oint ) }.
% 3.09/3.51 (21709) {G0,W2,D2,L1,V0,M1} { class_Rings_Olinordered__semiring__1__strict
% 3.09/3.51 ( tc_Int_Oint ) }.
% 3.09/3.51 (21710) {G0,W2,D2,L1,V0,M1} { class_Rings_Olinordered__semiring__strict(
% 3.09/3.51 tc_Int_Oint ) }.
% 3.09/3.51 (21711) {G0,W2,D2,L1,V0,M1} { class_Groups_Oordered__ab__semigroup__add(
% 3.09/3.51 tc_Int_Oint ) }.
% 3.09/3.51 (21712) {G0,W2,D2,L1,V0,M1} { class_Groups_Oordered__ab__group__add__abs(
% 3.09/3.51 tc_Int_Oint ) }.
% 3.09/3.51 (21713) {G0,W2,D2,L1,V0,M1} { class_Groups_Oordered__comm__monoid__add(
% 3.09/3.51 tc_Int_Oint ) }.
% 3.09/3.51 (21714) {G0,W2,D2,L1,V0,M1} { class_Groups_Olinordered__ab__group__add(
% 3.09/3.51 tc_Int_Oint ) }.
% 3.09/3.51 (21715) {G0,W2,D2,L1,V0,M1} { class_Groups_Ocancel__ab__semigroup__add(
% 3.09/3.51 tc_Int_Oint ) }.
% 3.09/3.51 (21716) {G0,W2,D2,L1,V0,M1} { class_Rings_Oring__1__no__zero__divisors(
% 3.09/3.51 tc_Int_Oint ) }.
% 3.09/3.51 (21717) {G0,W2,D2,L1,V0,M1} { class_Rings_Oordered__cancel__semiring(
% 3.09/3.51 tc_Int_Oint ) }.
% 3.09/3.51 (21718) {G0,W2,D2,L1,V0,M1} { class_Rings_Olinordered__ring__strict(
% 3.09/3.51 tc_Int_Oint ) }.
% 3.09/3.51 (21719) {G0,W2,D2,L1,V0,M1} { class_Rings_Oring__no__zero__divisors(
% 3.09/3.51 tc_Int_Oint ) }.
% 3.09/3.51 (21720) {G0,W2,D2,L1,V0,M1} { class_Rings_Oordered__comm__semiring(
% 3.09/3.51 tc_Int_Oint ) }.
% 3.09/3.51 (21721) {G0,W2,D2,L1,V0,M1} { class_Rings_Olinordered__semiring__1(
% 3.09/3.51 tc_Int_Oint ) }.
% 3.09/3.51 (21722) {G0,W2,D2,L1,V0,M1} { class_Groups_Oordered__ab__group__add(
% 3.09/3.51 tc_Int_Oint ) }.
% 3.09/3.51 (21723) {G0,W2,D2,L1,V0,M1} { class_Groups_Ocancel__semigroup__add(
% 3.09/3.51 tc_Int_Oint ) }.
% 3.09/3.51 (21724) {G0,W2,D2,L1,V0,M1} { class_Rings_Olinordered__semiring(
% 3.09/3.51 tc_Int_Oint ) }.
% 3.09/3.51 (21725) {G0,W2,D2,L1,V0,M1} { class_Rings_Olinordered__semidom(
% 3.09/3.51 tc_Int_Oint ) }.
% 3.09/3.51 (21726) {G0,W2,D2,L1,V0,M1} { class_Groups_Oab__semigroup__mult(
% 3.09/3.51 tc_Int_Oint ) }.
% 3.09/3.51 (21727) {G0,W2,D2,L1,V0,M1} { class_Groups_Ocomm__monoid__mult(
% 3.09/3.51 tc_Int_Oint ) }.
% 3.09/3.51 (21728) {G0,W2,D2,L1,V0,M1} { class_Groups_Oab__semigroup__add(
% 3.09/3.51 tc_Int_Oint ) }.
% 3.09/3.51 (21729) {G0,W2,D2,L1,V0,M1} { class_Rings_Oordered__semiring( tc_Int_Oint
% 3.09/3.51 ) }.
% 3.09/3.51 (21730) {G0,W2,D2,L1,V0,M1} { class_Rings_Oordered__ring__abs( tc_Int_Oint
% 3.09/3.51 ) }.
% 3.09/3.51 (21731) {G0,W2,D2,L1,V0,M1} { class_Rings_Ono__zero__divisors( tc_Int_Oint
% 3.09/3.51 ) }.
% 3.09/3.51 (21732) {G0,W2,D2,L1,V0,M1} { class_Groups_Ocomm__monoid__add( tc_Int_Oint
% 3.09/3.51 ) }.
% 3.09/3.51 (21733) {G0,W2,D2,L1,V0,M1} { class_Rings_Olinordered__ring( tc_Int_Oint )
% 3.09/3.51 }.
% 3.09/3.51 (21734) {G0,W2,D2,L1,V0,M1} { class_Rings_Olinordered__idom( tc_Int_Oint )
% 3.09/3.51 }.
% 3.09/3.51 (21735) {G0,W2,D2,L1,V0,M1} { class_Rings_Ocomm__semiring__1( tc_Int_Oint
% 3.09/3.51 ) }.
% 3.09/3.51 (21736) {G0,W2,D2,L1,V0,M1} { class_Rings_Ocomm__semiring( tc_Int_Oint )
% 3.09/3.51 }.
% 3.09/3.51 (21737) {G0,W2,D2,L1,V0,M1} { class_Groups_Oab__group__add( tc_Int_Oint )
% 3.09/3.51 }.
% 3.09/3.51 (21738) {G0,W2,D2,L1,V0,M1} { class_Rings_Ozero__neq__one( tc_Int_Oint )
% 3.09/3.51 }.
% 3.09/3.51 (21739) {G0,W2,D2,L1,V0,M1} { class_Rings_Oordered__ring( tc_Int_Oint )
% 3.09/3.51 }.
% 3.09/3.51 (21740) {G0,W2,D2,L1,V0,M1} { class_Orderings_Opreorder( tc_Int_Oint ) }.
% 3.09/3.51 (21741) {G0,W2,D2,L1,V0,M1} { class_Orderings_Olinorder( tc_Int_Oint ) }.
% 3.09/3.51 (21742) {G0,W2,D2,L1,V0,M1} { class_Groups_Omonoid__mult( tc_Int_Oint )
% 3.09/3.51 }.
% 3.09/3.51 (21743) {G0,W2,D2,L1,V0,M1} { class_Rings_Ocomm__ring__1( tc_Int_Oint )
% 3.09/3.51 }.
% 3.09/3.51 (21744) {G0,W2,D2,L1,V0,M1} { class_Groups_Omonoid__add( tc_Int_Oint ) }.
% 3.09/3.51 (21745) {G0,W2,D2,L1,V0,M1} { class_Rings_Osemiring__1( tc_Int_Oint ) }.
% 3.09/3.51 (21746) {G0,W2,D2,L1,V0,M1} { class_Rings_Osemiring__0( tc_Int_Oint ) }.
% 3.09/3.51 (21747) {G0,W2,D2,L1,V0,M1} { class_Groups_Ogroup__add( tc_Int_Oint ) }.
% 3.09/3.51 (21748) {G0,W2,D2,L1,V0,M1} { class_Rings_Omult__zero( tc_Int_Oint ) }.
% 3.09/3.51 (21749) {G0,W2,D2,L1,V0,M1} { class_Orderings_Oorder( tc_Int_Oint ) }.
% 3.09/3.51 (21750) {G0,W2,D2,L1,V0,M1} { class_Int_Oring__char__0( tc_Int_Oint ) }.
% 3.09/3.51 (21751) {G0,W2,D2,L1,V0,M1} { class_Int_Onumber__ring( tc_Int_Oint ) }.
% 3.09/3.51 (21752) {G0,W2,D2,L1,V0,M1} { class_Rings_Osemiring( tc_Int_Oint ) }.
% 3.09/3.51 (21753) {G0,W2,D2,L1,V0,M1} { class_Orderings_Oord( tc_Int_Oint ) }.
% 3.09/3.51 (21754) {G0,W2,D2,L1,V0,M1} { class_Rings_Oring__1( tc_Int_Oint ) }.
% 3.09/3.51 (21755) {G0,W2,D2,L1,V0,M1} { class_Power_Opower( tc_Int_Oint ) }.
% 3.09/3.51 (21756) {G0,W2,D2,L1,V0,M1} { class_Groups_Ozero( tc_Int_Oint ) }.
% 3.09/3.51 (21757) {G0,W2,D2,L1,V0,M1} { class_Rings_Oring( tc_Int_Oint ) }.
% 3.09/3.51 (21758) {G0,W2,D2,L1,V0,M1} { class_Int_Onumber( tc_Int_Oint ) }.
% 3.09/3.51 (21759) {G0,W2,D2,L1,V0,M1} { class_Groups_Oone( tc_Int_Oint ) }.
% 3.09/3.51 (21760) {G0,W2,D2,L1,V0,M1} {
% 3.09/3.51 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 3.09/3.51 tc_Nat_Onat ) }.
% 3.09/3.51 (21761) {G0,W2,D2,L1,V0,M1} {
% 3.09/3.51 class_Groups_Oordered__cancel__ab__semigroup__add( tc_Nat_Onat ) }.
% 3.09/3.51 (21762) {G0,W2,D2,L1,V0,M1} {
% 3.09/3.51 class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Nat_Onat ) }.
% 3.09/3.51 (21763) {G0,W2,D2,L1,V0,M1} {
% 3.09/3.51 class_Rings_Olinordered__comm__semiring__strict( tc_Nat_Onat ) }.
% 3.09/3.51 (21764) {G0,W2,D2,L1,V0,M1} { class_Rings_Olinordered__semiring__strict(
% 3.09/3.51 tc_Nat_Onat ) }.
% 3.09/3.51 (21765) {G0,W2,D2,L1,V0,M1} { class_Groups_Oordered__ab__semigroup__add(
% 3.09/3.51 tc_Nat_Onat ) }.
% 3.09/3.51 (21766) {G0,W2,D2,L1,V0,M1} { class_Groups_Oordered__comm__monoid__add(
% 3.09/3.51 tc_Nat_Onat ) }.
% 3.09/3.51 (21767) {G0,W2,D2,L1,V0,M1} { class_Groups_Ocancel__ab__semigroup__add(
% 3.09/3.51 tc_Nat_Onat ) }.
% 3.09/3.51 (21768) {G0,W2,D2,L1,V0,M1} { class_Rings_Oordered__cancel__semiring(
% 3.09/3.51 tc_Nat_Onat ) }.
% 3.09/3.51 (21769) {G0,W2,D2,L1,V0,M1} { class_Rings_Oordered__comm__semiring(
% 3.09/3.51 tc_Nat_Onat ) }.
% 3.09/3.51 (21770) {G0,W2,D2,L1,V0,M1} { class_Groups_Ocancel__semigroup__add(
% 3.09/3.51 tc_Nat_Onat ) }.
% 3.09/3.51 (21771) {G0,W2,D2,L1,V0,M1} { class_Rings_Olinordered__semiring(
% 3.09/3.51 tc_Nat_Onat ) }.
% 3.09/3.51 (21772) {G0,W2,D2,L1,V0,M1} { class_Rings_Olinordered__semidom(
% 3.09/3.51 tc_Nat_Onat ) }.
% 3.09/3.51 (21773) {G0,W2,D2,L1,V0,M1} { class_Groups_Oab__semigroup__mult(
% 3.09/3.51 tc_Nat_Onat ) }.
% 3.09/3.51 (21774) {G0,W2,D2,L1,V0,M1} { class_Groups_Ocomm__monoid__mult(
% 3.09/3.51 tc_Nat_Onat ) }.
% 3.09/3.51 (21775) {G0,W2,D2,L1,V0,M1} { class_Groups_Oab__semigroup__add(
% 3.09/3.51 tc_Nat_Onat ) }.
% 3.09/3.51 (21776) {G0,W2,D2,L1,V0,M1} { class_Rings_Oordered__semiring( tc_Nat_Onat
% 3.09/3.51 ) }.
% 3.09/3.51 (21777) {G0,W2,D2,L1,V0,M1} { class_Rings_Ono__zero__divisors( tc_Nat_Onat
% 3.09/3.51 ) }.
% 3.09/3.51 (21778) {G0,W2,D2,L1,V0,M1} { class_Groups_Ocomm__monoid__add( tc_Nat_Onat
% 3.09/3.51 ) }.
% 3.09/3.51 (21779) {G0,W2,D2,L1,V0,M1} { class_Rings_Ocomm__semiring__1( tc_Nat_Onat
% 3.09/3.51 ) }.
% 3.09/3.51 (21780) {G0,W2,D2,L1,V0,M1} { class_Rings_Ocomm__semiring( tc_Nat_Onat )
% 3.09/3.51 }.
% 3.09/3.51 (21781) {G0,W2,D2,L1,V0,M1} { class_Rings_Ozero__neq__one( tc_Nat_Onat )
% 3.09/3.51 }.
% 3.09/3.51 (21782) {G0,W2,D2,L1,V0,M1} { class_Orderings_Opreorder( tc_Nat_Onat ) }.
% 3.09/3.51 (21783) {G0,W2,D2,L1,V0,M1} { class_Orderings_Olinorder( tc_Nat_Onat ) }.
% 3.09/3.51 (21784) {G0,W2,D2,L1,V0,M1} { class_Groups_Omonoid__mult( tc_Nat_Onat )
% 3.09/3.51 }.
% 3.09/3.51 (21785) {G0,W2,D2,L1,V0,M1} { class_Groups_Omonoid__add( tc_Nat_Onat ) }.
% 3.09/3.51 (21786) {G0,W2,D2,L1,V0,M1} { class_Rings_Osemiring__1( tc_Nat_Onat ) }.
% 3.09/3.51 (21787) {G0,W2,D2,L1,V0,M1} { class_Rings_Osemiring__0( tc_Nat_Onat ) }.
% 3.09/3.51 (21788) {G0,W2,D2,L1,V0,M1} { class_Rings_Omult__zero( tc_Nat_Onat ) }.
% 3.09/3.51 (21789) {G0,W2,D2,L1,V0,M1} { class_Orderings_Oorder( tc_Nat_Onat ) }.
% 3.09/3.51 (21790) {G0,W2,D2,L1,V0,M1} { class_Rings_Osemiring( tc_Nat_Onat ) }.
% 3.09/3.51 (21791) {G0,W2,D2,L1,V0,M1} { class_Orderings_Oord( tc_Nat_Onat ) }.
% 3.09/3.51 (21792) {G0,W2,D2,L1,V0,M1} { class_Power_Opower( tc_Nat_Onat ) }.
% 3.09/3.51 (21793) {G0,W2,D2,L1,V0,M1} { class_Groups_Ozero( tc_Nat_Onat ) }.
% 3.09/3.51 (21794) {G0,W2,D2,L1,V0,M1} { class_Int_Onumber( tc_Nat_Onat ) }.
% 3.09/3.51 (21795) {G0,W2,D2,L1,V0,M1} { class_Groups_Oone( tc_Nat_Onat ) }.
% 3.09/3.51 (21796) {G0,W2,D2,L1,V0,M1} { class_Orderings_Opreorder( tc_HOL_Obool )
% 3.09/3.51 }.
% 3.09/3.51 (21797) {G0,W2,D2,L1,V0,M1} { class_Orderings_Oorder( tc_HOL_Obool ) }.
% 3.09/3.51 (21798) {G0,W2,D2,L1,V0,M1} { class_Orderings_Oord( tc_HOL_Obool ) }.
% 3.09/3.51 (21799) {G0,W2,D2,L1,V0,M1} {
% 3.09/3.51 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 3.09/3.51 tc_RealDef_Oreal ) }.
% 3.09/3.51 (21800) {G0,W2,D2,L1,V0,M1} {
% 3.09/3.51 class_Groups_Oordered__cancel__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 3.09/3.51 (21801) {G0,W2,D2,L1,V0,M1} {
% 3.09/3.51 class_Groups_Oordered__ab__semigroup__add__imp__le( tc_RealDef_Oreal )
% 3.09/3.51 }.
% 3.09/3.51 (21802) {G0,W2,D2,L1,V0,M1} {
% 3.09/3.51 class_Rings_Olinordered__comm__semiring__strict( tc_RealDef_Oreal ) }.
% 3.09/3.51 (21803) {G0,W2,D2,L1,V0,M1} {
% 3.09/3.51 class_Fields_Olinordered__field__inverse__zero( tc_RealDef_Oreal ) }.
% 3.09/3.51 (21804) {G0,W2,D2,L1,V0,M1} { class_Rings_Olinordered__semiring__1__strict
% 3.09/3.51 ( tc_RealDef_Oreal ) }.
% 3.09/3.51 (21805) {G0,W2,D2,L1,V0,M1} { class_RealVector_Oreal__normed__div__algebra
% 3.09/3.51 ( tc_RealDef_Oreal ) }.
% 3.09/3.51 (21806) {G0,W2,D2,L1,V0,M1} { class_Rings_Olinordered__semiring__strict(
% 3.09/3.51 tc_RealDef_Oreal ) }.
% 3.09/3.51 (21807) {G0,W2,D2,L1,V0,M1} { class_Rings_Odivision__ring__inverse__zero(
% 3.09/3.51 tc_RealDef_Oreal ) }.
% 3.09/3.51 (21808) {G0,W2,D2,L1,V0,M1} { class_RealVector_Oreal__normed__algebra__1(
% 3.09/3.51 tc_RealDef_Oreal ) }.
% 3.09/3.51 (21809) {G0,W2,D2,L1,V0,M1} { class_Groups_Oordered__ab__semigroup__add(
% 3.09/3.51 tc_RealDef_Oreal ) }.
% 3.09/3.51 (21810) {G0,W2,D2,L1,V0,M1} { class_Groups_Oordered__ab__group__add__abs(
% 3.09/3.51 tc_RealDef_Oreal ) }.
% 3.09/3.51 (21811) {G0,W2,D2,L1,V0,M1} { class_RealVector_Oreal__normed__algebra(
% 3.09/3.51 tc_RealDef_Oreal ) }.
% 3.09/3.51 (21812) {G0,W2,D2,L1,V0,M1} { class_Groups_Oordered__comm__monoid__add(
% 3.09/3.51 tc_RealDef_Oreal ) }.
% 3.09/3.51 (21813) {G0,W2,D2,L1,V0,M1} { class_Groups_Olinordered__ab__group__add(
% 3.09/3.51 tc_RealDef_Oreal ) }.
% 3.09/3.51 (21814) {G0,W2,D2,L1,V0,M1} { class_Groups_Ocancel__ab__semigroup__add(
% 3.09/3.51 tc_RealDef_Oreal ) }.
% 3.09/3.51 (21815) {G0,W2,D2,L1,V0,M1} { class_Rings_Oring__1__no__zero__divisors(
% 3.09/3.51 tc_RealDef_Oreal ) }.
% 3.09/3.51 (21816) {G0,W2,D2,L1,V0,M1} { class_Rings_Oordered__cancel__semiring(
% 3.09/3.51 tc_RealDef_Oreal ) }.
% 3.09/3.51 (21817) {G0,W2,D2,L1,V0,M1} { class_RealVector_Oreal__normed__vector(
% 3.09/3.51 tc_RealDef_Oreal ) }.
% 3.09/3.51 (21818) {G0,W2,D2,L1,V0,M1} { class_Rings_Olinordered__ring__strict(
% 3.09/3.51 tc_RealDef_Oreal ) }.
% 3.09/3.51 (21819) {G0,W2,D2,L1,V0,M1} { class_RealVector_Oreal__normed__field(
% 3.09/3.51 tc_RealDef_Oreal ) }.
% 3.09/3.51 (21820) {G0,W2,D2,L1,V0,M1} { class_Rings_Oring__no__zero__divisors(
% 3.09/3.51 tc_RealDef_Oreal ) }.
% 3.09/3.51 (21821) {G0,W2,D2,L1,V0,M1} { class_Rings_Oordered__comm__semiring(
% 3.09/3.51 tc_RealDef_Oreal ) }.
% 3.09/3.51 (21822) {G0,W2,D2,L1,V0,M1} { class_Rings_Olinordered__semiring__1(
% 3.09/3.51 tc_RealDef_Oreal ) }.
% 3.09/3.51 (21823) {G0,W2,D2,L1,V0,M1} { class_Groups_Oordered__ab__group__add(
% 3.09/3.51 tc_RealDef_Oreal ) }.
% 3.09/3.51 (21824) {G0,W2,D2,L1,V0,M1} { class_Groups_Ocancel__semigroup__add(
% 3.09/3.51 tc_RealDef_Oreal ) }.
% 3.09/3.51 (21825) {G0,W2,D2,L1,V0,M1} { class_Rings_Olinordered__semiring(
% 3.09/3.51 tc_RealDef_Oreal ) }.
% 3.09/3.51 (21826) {G0,W2,D2,L1,V0,M1} { class_Fields_Ofield__inverse__zero(
% 3.09/3.51 tc_RealDef_Oreal ) }.
% 3.09/3.51 (21827) {G0,W2,D2,L1,V0,M1} { class_Rings_Olinordered__semidom(
% 3.09/3.51 tc_RealDef_Oreal ) }.
% 3.09/3.51 (21828) {G0,W2,D2,L1,V0,M1} { class_Groups_Oab__semigroup__mult(
% 3.09/3.51 tc_RealDef_Oreal ) }.
% 3.09/3.51 (21829) {G0,W2,D2,L1,V0,M1} { class_Groups_Ocomm__monoid__mult(
% 3.09/3.51 tc_RealDef_Oreal ) }.
% 3.09/3.51 (21830) {G0,W2,D2,L1,V0,M1} { class_Groups_Oab__semigroup__add(
% 3.09/3.51 tc_RealDef_Oreal ) }.
% 3.09/3.51 (21831) {G0,W2,D2,L1,V0,M1} { class_Fields_Olinordered__field(
% 3.09/3.51 tc_RealDef_Oreal ) }.
% 3.09/3.51 (21832) {G0,W2,D2,L1,V0,M1} { class_Rings_Oordered__semiring(
% 3.09/3.51 tc_RealDef_Oreal ) }.
% 3.09/3.51 (21833) {G0,W2,D2,L1,V0,M1} { class_Rings_Oordered__ring__abs(
% 3.09/3.51 tc_RealDef_Oreal ) }.
% 3.09/3.51 (21834) {G0,W2,D2,L1,V0,M1} { class_Rings_Ono__zero__divisors(
% 3.09/3.51 tc_RealDef_Oreal ) }.
% 3.09/3.51 (21835) {G0,W2,D2,L1,V0,M1} { class_Groups_Ocomm__monoid__add(
% 3.09/3.51 tc_RealDef_Oreal ) }.
% 3.09/3.51 (21836) {G0,W2,D2,L1,V0,M1} { class_Rings_Olinordered__ring(
% 3.09/3.51 tc_RealDef_Oreal ) }.
% 3.09/3.51 (21837) {G0,W2,D2,L1,V0,M1} { class_Rings_Olinordered__idom(
% 3.09/3.51 tc_RealDef_Oreal ) }.
% 3.09/3.51 (21838) {G0,W2,D2,L1,V0,M1} { class_Rings_Ocomm__semiring__1(
% 3.09/3.51 tc_RealDef_Oreal ) }.
% 3.09/3.51 (21839) {G0,W2,D2,L1,V0,M1} { class_RealVector_Oreal__field(
% 3.09/3.51 tc_RealDef_Oreal ) }.
% 3.09/3.51 (21840) {G0,W2,D2,L1,V0,M1} { class_Rings_Odivision__ring(
% 3.09/3.51 tc_RealDef_Oreal ) }.
% 3.09/3.51 (21841) {G0,W2,D2,L1,V0,M1} { class_Rings_Ocomm__semiring(
% 3.09/3.51 tc_RealDef_Oreal ) }.
% 3.09/3.51 (21842) {G0,W2,D2,L1,V0,M1} { class_Groups_Oab__group__add(
% 3.09/3.51 tc_RealDef_Oreal ) }.
% 3.09/3.51 (21843) {G0,W2,D2,L1,V0,M1} { class_Rings_Ozero__neq__one(
% 3.09/3.51 tc_RealDef_Oreal ) }.
% 3.09/3.51 (21844) {G0,W2,D2,L1,V0,M1} { class_Rings_Oordered__ring( tc_RealDef_Oreal
% 3.09/3.51 ) }.
% 3.09/3.51 (21845) {G0,W2,D2,L1,V0,M1} { class_Orderings_Opreorder( tc_RealDef_Oreal
% 3.09/3.51 ) }.
% 3.09/3.51 (21846) {G0,W2,D2,L1,V0,M1} { class_Orderings_Olinorder( tc_RealDef_Oreal
% 3.09/3.51 ) }.
% 3.09/3.51 (21847) {G0,W2,D2,L1,V0,M1} { class_Groups_Omonoid__mult( tc_RealDef_Oreal
% 3.09/3.51 ) }.
% 3.09/3.51 (21848) {G0,W2,D2,L1,V0,M1} { class_Rings_Ocomm__ring__1( tc_RealDef_Oreal
% 3.09/3.51 ) }.
% 3.09/3.51 (21849) {G0,W2,D2,L1,V0,M1} { class_Groups_Omonoid__add( tc_RealDef_Oreal
% 3.09/3.51 ) }.
% 3.09/3.51 (21850) {G0,W2,D2,L1,V0,M1} { class_Rings_Osemiring__1( tc_RealDef_Oreal )
% 3.09/3.51 }.
% 3.09/3.51 (21851) {G0,W2,D2,L1,V0,M1} { class_Rings_Osemiring__0( tc_RealDef_Oreal )
% 3.09/3.51 }.
% 3.09/3.51 (21852) {G0,W2,D2,L1,V0,M1} { class_Groups_Ogroup__add( tc_RealDef_Oreal )
% 3.09/3.51 }.
% 3.09/3.51 (21853) {G0,W2,D2,L1,V0,M1} { class_Rings_Omult__zero( tc_RealDef_Oreal )
% 3.09/3.51 }.
% 3.09/3.51 (21854) {G0,W2,D2,L1,V0,M1} { class_Orderings_Oorder( tc_RealDef_Oreal )
% 3.09/3.51 }.
% 3.09/3.51 (21855) {G0,W2,D2,L1,V0,M1} { class_Int_Oring__char__0( tc_RealDef_Oreal )
% 3.09/3.51 }.
% 3.09/3.51 (21856) {G0,W2,D2,L1,V0,M1} { class_Int_Onumber__ring( tc_RealDef_Oreal )
% 3.09/3.51 }.
% 3.09/3.51 (21857) {G0,W2,D2,L1,V0,M1} { class_Rings_Osemiring( tc_RealDef_Oreal )
% 3.09/3.51 }.
% 3.09/3.51 (21858) {G0,W2,D2,L1,V0,M1} { class_Orderings_Oord( tc_RealDef_Oreal ) }.
% 3.09/3.51 (21859) {G0,W2,D2,L1,V0,M1} { class_Rings_Oring__1( tc_RealDef_Oreal ) }.
% 3.09/3.51 (21860) {G0,W2,D2,L1,V0,M1} { class_Fields_Ofield( tc_RealDef_Oreal ) }.
% 3.09/3.51 (21861) {G0,W2,D2,L1,V0,M1} { class_Power_Opower( tc_RealDef_Oreal ) }.
% 3.09/3.51 (21862) {G0,W2,D2,L1,V0,M1} { class_Groups_Ozero( tc_RealDef_Oreal ) }.
% 3.09/3.51 (21863) {G0,W2,D2,L1,V0,M1} { class_Rings_Oring( tc_RealDef_Oreal ) }.
% 3.09/3.51 (21864) {G0,W2,D2,L1,V0,M1} { class_Int_Onumber( tc_RealDef_Oreal ) }.
% 3.09/3.51 (21865) {G0,W2,D2,L1,V0,M1} { class_Groups_Oone( tc_RealDef_Oreal ) }.
% 3.09/3.51 (21866) {G0,W2,D2,L1,V0,M1} {
% 3.09/3.51 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 3.09/3.51 tc_Complex_Ocomplex ) }.
% 3.09/3.51 (21867) {G0,W2,D2,L1,V0,M1} { class_RealVector_Oreal__normed__div__algebra
% 3.09/3.51 ( tc_Complex_Ocomplex ) }.
% 3.09/3.51 (21868) {G0,W2,D2,L1,V0,M1} { class_Rings_Odivision__ring__inverse__zero(
% 3.09/3.51 tc_Complex_Ocomplex ) }.
% 3.09/3.51 (21869) {G0,W2,D2,L1,V0,M1} { class_RealVector_Oreal__normed__algebra__1(
% 3.09/3.51 tc_Complex_Ocomplex ) }.
% 3.09/3.51 (21870) {G0,W2,D2,L1,V0,M1} { class_RealVector_Oreal__normed__algebra(
% 3.09/3.51 tc_Complex_Ocomplex ) }.
% 3.09/3.51 (21871) {G0,W2,D2,L1,V0,M1} { class_Groups_Ocancel__ab__semigroup__add(
% 3.09/3.51 tc_Complex_Ocomplex ) }.
% 3.09/3.51 (21872) {G0,W2,D2,L1,V0,M1} { class_Rings_Oring__1__no__zero__divisors(
% 3.09/3.51 tc_Complex_Ocomplex ) }.
% 3.09/3.51 (21873) {G0,W2,D2,L1,V0,M1} { class_RealVector_Oreal__normed__vector(
% 3.09/3.51 tc_Complex_Ocomplex ) }.
% 3.09/3.51 (21874) {G0,W2,D2,L1,V0,M1} { class_RealVector_Oreal__normed__field(
% 3.09/3.51 tc_Complex_Ocomplex ) }.
% 3.09/3.51 (21875) {G0,W2,D2,L1,V0,M1} { class_Rings_Oring__no__zero__divisors(
% 3.09/3.51 tc_Complex_Ocomplex ) }.
% 3.09/3.51 (21876) {G0,W2,D2,L1,V0,M1} { class_Groups_Ocancel__semigroup__add(
% 3.09/3.51 tc_Complex_Ocomplex ) }.
% 3.09/3.51 (21877) {G0,W2,D2,L1,V0,M1} { class_Fields_Ofield__inverse__zero(
% 3.09/3.51 tc_Complex_Ocomplex ) }.
% 3.09/3.51 (21878) {G0,W2,D2,L1,V0,M1} { class_Groups_Oab__semigroup__mult(
% 3.09/3.51 tc_Complex_Ocomplex ) }.
% 3.09/3.51 (21879) {G0,W2,D2,L1,V0,M1} { class_Groups_Ocomm__monoid__mult(
% 3.09/3.51 tc_Complex_Ocomplex ) }.
% 3.09/3.51 (21880) {G0,W2,D2,L1,V0,M1} { class_Groups_Oab__semigroup__add(
% 3.09/3.51 tc_Complex_Ocomplex ) }.
% 3.09/3.51 (21881) {G0,W2,D2,L1,V0,M1} { class_Rings_Ono__zero__divisors(
% 3.09/3.51 tc_Complex_Ocomplex ) }.
% 3.09/3.51 (21882) {G0,W2,D2,L1,V0,M1} { class_Groups_Ocomm__monoid__add(
% 3.09/3.51 tc_Complex_Ocomplex ) }.
% 3.09/3.51 (21883) {G0,W2,D2,L1,V0,M1} { class_Rings_Ocomm__semiring__1(
% 3.09/3.51 tc_Complex_Ocomplex ) }.
% 3.09/3.51 (21884) {G0,W2,D2,L1,V0,M1} { class_RealVector_Oreal__field(
% 3.09/3.51 tc_Complex_Ocomplex ) }.
% 3.09/3.51 (21885) {G0,W2,D2,L1,V0,M1} { class_Rings_Odivision__ring(
% 3.09/3.51 tc_Complex_Ocomplex ) }.
% 3.09/3.51 (21886) {G0,W2,D2,L1,V0,M1} { class_Rings_Ocomm__semiring(
% 3.09/3.51 tc_Complex_Ocomplex ) }.
% 3.09/3.51 (21887) {G0,W2,D2,L1,V0,M1} { class_Groups_Oab__group__add(
% 3.09/3.51 tc_Complex_Ocomplex ) }.
% 3.09/3.51 (21888) {G0,W2,D2,L1,V0,M1} { class_Rings_Ozero__neq__one(
% 3.09/3.51 tc_Complex_Ocomplex ) }.
% 3.09/3.51 (21889) {G0,W2,D2,L1,V0,M1} { class_Groups_Omonoid__mult(
% 3.09/3.51 tc_Complex_Ocomplex ) }.
% 3.09/3.51 (21890) {G0,W2,D2,L1,V0,M1} { class_Rings_Ocomm__ring__1(
% 3.09/3.51 tc_Complex_Ocomplex ) }.
% 3.09/3.51 (21891) {G0,W2,D2,L1,V0,M1} { class_Groups_Omonoid__add(
% 3.09/3.51 tc_Complex_Ocomplex ) }.
% 3.09/3.51 (21892) {G0,W2,D2,L1,V0,M1} { class_Rings_Osemiring__1(
% 3.09/3.51 tc_Complex_Ocomplex ) }.
% 3.09/3.51 (21893) {G0,W2,D2,L1,V0,M1} { class_Rings_Osemiring__0(
% 3.09/3.51 tc_Complex_Ocomplex ) }.
% 3.09/3.51 (21894) {G0,W2,D2,L1,V0,M1} { class_Groups_Ogroup__add(
% 3.09/3.51 tc_Complex_Ocomplex ) }.
% 3.09/3.51 (21895) {G0,W2,D2,L1,V0,M1} { class_Rings_Omult__zero( tc_Complex_Ocomplex
% 3.09/3.51 ) }.
% 3.09/3.51 (21896) {G0,W2,D2,L1,V0,M1} { class_Int_Oring__char__0(
% 3.09/3.51 tc_Complex_Ocomplex ) }.
% 3.09/3.51 (21897) {G0,W2,D2,L1,V0,M1} { class_Int_Onumber__ring( tc_Complex_Ocomplex
% 3.09/3.51 ) }.
% 3.09/3.51 (21898) {G0,W2,D2,L1,V0,M1} { class_Rings_Osemiring( tc_Complex_Ocomplex )
% 3.09/3.51 }.
% 3.09/3.51 (21899) {G0,W2,D2,L1,V0,M1} { class_Rings_Oring__1( tc_Complex_Ocomplex )
% 3.09/3.51 }.
% 3.09/3.51 (21900) {G0,W2,D2,L1,V0,M1} { class_Fields_Ofield( tc_Complex_Ocomplex )
% 3.09/3.51 }.
% 3.09/3.51 (21901) {G0,W2,D2,L1,V0,M1} { class_Power_Opower( tc_Complex_Ocomplex )
% 3.09/3.51 }.
% 3.09/3.51 (21902) {G0,W2,D2,L1,V0,M1} { class_Groups_Ozero( tc_Complex_Ocomplex )
% 3.09/3.51 }.
% 3.09/3.51 (21903) {G0,W2,D2,L1,V0,M1} { class_Rings_Oring( tc_Complex_Ocomplex ) }.
% 3.09/3.51 (21904) {G0,W2,D2,L1,V0,M1} { class_Int_Onumber( tc_Complex_Ocomplex ) }.
% 3.09/3.51 (21905) {G0,W2,D2,L1,V0,M1} { class_Groups_Oone( tc_Complex_Ocomplex ) }.
% 3.09/3.51 (21906) {G0,W21,D7,L1,V0,M1} { ! c_NthRoot_Osqrt(
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.09/3.51 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) = c_NthRoot_Osqrt(
% 3.09/3.51 c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.09/3.51 c_Int_OBit1( c_Int_OPls ) ) ), c_Int_Onumber__class_Onumber__of(
% 3.09/3.51 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 3.09/3.51
% 3.09/3.51
% 3.09/3.51 Total Proof:
% 3.09/3.51
% 3.09/3.51 subsumption: (9) {G0,W13,D7,L1,V1,M1} I { c_NthRoot_Osqrt(
% 3.09/3.51 c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.51 c_Int_OPls ) ) ) ) ) ==> c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X )
% 3.09/3.51 }.
% 3.09/3.51 parent0: (20040) {G0,W13,D7,L1,V1,M1} { c_NthRoot_Osqrt(
% 3.09/3.51 c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.09/3.51 c_Int_OPls ) ) ) ) ) = c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X )
% 3.09/3.51 }.
% 3.09/3.51 substitution0:
% 3.09/3.51 X := X
% 3.09/3.51 end
% 3.09/3.51 permutation0:
% 3.09/3.51 0 ==> 0
% 3.09/3.51 end
% 3.09/3.51
% 3.09/3.51 subsumption: (10) {G0,W9,D4,L1,V1,M1} I { c_NthRoot_Osqrt(
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) ==>
% 3.09/3.51 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) }.
% 3.09/3.51 parent0: (20041) {G0,W9,D4,L1,V1,M1} { c_NthRoot_Osqrt(
% 3.09/3.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 3.09/3.51 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) }.
% 3.09/3.51 substitution0:
% 3.09/3.51 X := X
% 3.09/3.51 end
% 3.09/3.51 permutation0:
% 3.09/3.51 0 ==> 0
% 3.09/3.51 end
% 3.09/3.51
% 3.09/3.51 subsumption: (61) {G0,W17,D4,L2,V3,M2} I { ! class_Int_Onumber__ring( X ),
% 3.09/3.51 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X, Z )
% 3.09/3.51 , c_Int_Onumber__class_Onumber__of( X, Y ) ) ==>
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 3.09/3.51 tc_Int_Oint, Z, Y ) ) }.
% 3.09/3.51 parent0: (20096) {G0,W17,D4,L2,V3,M2} { ! class_Int_Onumber__ring( X ),
% 3.09/3.51 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X, Z )
% 3.09/3.51 , c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 3.09/3.51 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 3.09/3.51 tc_Int_Oint, Z, Y ) ) }.
% 3.09/3.51 substitution0:
% 3.09/3.51 X := X
% 3.09/3.51 Y := Y
% 3.09/3.51 Z := Z
% 3.09/3.51 end
% 3.09/3.51 permutation0:
% 3.09/3.51 0 ==> 0
% 3.09/3.51 1 ==> 1
% 3.09/3.51 end
% 3.09/3.51
% 3.09/3.51 eqswap: (22141) {G0,W7,D3,L1,V1,M1} { c_Groups_Oplus__class_Oplus(
% 3.09/3.51 tc_Int_Oint, X, X ) = c_Int_OBit0( X ) }.
% 3.09/3.51 parent0[0]: (20112) {G0,W7,D3,L1,V1,M1} { c_Int_OBit0( X ) =
% 3.09/3.51 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, X ) }.
% 3.09/3.51 substitution0:
% 3.09/3.51 X := X
% 3.09/3.51 end
% 3.09/3.51
% 3.09/3.51 subsumption: (72) {G0,W7,D3,L1,V1,M1} I { c_Groups_Oplus__class_Oplus(
% 3.09/3.51 tc_Int_Oint, X, X ) ==> c_Int_OBit0( X ) }.
% 3.09/3.51 parent0: (22141) {G0,W7,D3,L1,V1,M1} { c_Groups_Oplus__class_Oplus(
% 3.09/3.51 tc_Int_Oint, X, X ) = c_Int_OBit0( X ) }.
% 3.09/3.51 substitution0:
% 3.09/3.51 X := X
% 3.09/3.51 end
% 3.09/3.51 permutation0:
% 3.09/3.51 0 ==> 0
% 3.09/3.51 end
% 3.09/3.51
% 3.09/3.51 *** allocated 864960 integers for termspace/termends
% 3.09/3.51 subsumption: (94) {G0,W15,D6,L2,V2,M2} I { ! class_Int_Onumber__ring( X ),
% 3.14/3.53 c_Groups_Otimes__class_Otimes( X, Y, c_Int_Onumber__class_Onumber__of( X
% 3.14/3.53 , c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) =
% 3.14/3.53 c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 3.14/3.53 parent0: (20135) {G0,W15,D6,L2,V2,M2} { ! class_Int_Onumber__ring( X ),
% 3.14/3.53 c_Groups_Otimes__class_Otimes( X, Y, c_Int_Onumber__class_Onumber__of( X
% 3.14/3.53 , c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) =
% 3.14/3.53 c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 3.14/3.53 substitution0:
% 3.14/3.53 X := X
% 3.14/3.53 Y := Y
% 3.14/3.53 end
% 3.14/3.53 permutation0:
% 3.14/3.53 0 ==> 0
% 3.14/3.53 1 ==> 1
% 3.14/3.53 end
% 3.14/3.53
% 3.14/3.53 subsumption: (1588) {G0,W2,D2,L1,V0,M1} I { class_Int_Onumber__ring(
% 3.14/3.53 tc_RealDef_Oreal ) }.
% 3.14/3.53 parent0: (21856) {G0,W2,D2,L1,V0,M1} { class_Int_Onumber__ring(
% 3.14/3.53 tc_RealDef_Oreal ) }.
% 3.14/3.53 substitution0:
% 3.14/3.53 end
% 3.14/3.53 permutation0:
% 3.14/3.53 0 ==> 0
% 3.14/3.53 end
% 3.14/3.53
% 3.14/3.53 paramod: (27462) {G1,W15,D7,L1,V0,M1} { ! c_NthRoot_Osqrt(
% 3.14/3.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.14/3.53 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) =
% 3.14/3.53 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 3.14/3.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.14/3.53 c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 3.14/3.53 parent0[0]: (9) {G0,W13,D7,L1,V1,M1} I { c_NthRoot_Osqrt(
% 3.14/3.53 c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 3.14/3.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 3.14/3.53 c_Int_OPls ) ) ) ) ) ==> c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X )
% 3.14/3.53 }.
% 3.14/3.53 parent1[0; 9]: (21906) {G0,W21,D7,L1,V0,M1} { ! c_NthRoot_Osqrt(
% 3.14/3.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.14/3.53 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) = c_NthRoot_Osqrt(
% 3.14/3.53 c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 3.14/3.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.14/3.53 c_Int_OBit1( c_Int_OPls ) ) ), c_Int_Onumber__class_Onumber__of(
% 3.14/3.53 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 3.14/3.53 substitution0:
% 3.14/3.53 X := c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.14/3.53 c_Int_OBit1( c_Int_OPls ) ) )
% 3.14/3.53 end
% 3.14/3.53 substitution1:
% 3.14/3.53 end
% 3.14/3.53
% 3.14/3.53 eqswap: (27463) {G1,W15,D7,L1,V0,M1} { ! c_Groups_Oabs__class_Oabs(
% 3.14/3.53 tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 3.14/3.53 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) = c_NthRoot_Osqrt(
% 3.14/3.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.14/3.53 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 3.14/3.53 parent0[0]: (27462) {G1,W15,D7,L1,V0,M1} { ! c_NthRoot_Osqrt(
% 3.14/3.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.14/3.53 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) =
% 3.14/3.53 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 3.14/3.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.14/3.53 c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 3.14/3.53 substitution0:
% 3.14/3.53 end
% 3.14/3.53
% 3.14/3.53 subsumption: (1638) {G1,W15,D7,L1,V0,M1} I;d(9) { !
% 3.14/3.53 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 3.14/3.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.14/3.53 c_Int_OBit1( c_Int_OPls ) ) ) ) ==> c_NthRoot_Osqrt(
% 3.14/3.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.14/3.53 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 3.14/3.53 parent0: (27463) {G1,W15,D7,L1,V0,M1} { ! c_Groups_Oabs__class_Oabs(
% 3.14/3.53 tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 3.14/3.53 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) = c_NthRoot_Osqrt(
% 3.14/3.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.14/3.53 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 3.14/3.53 substitution0:
% 3.14/3.53 end
% 3.14/3.53 permutation0:
% 3.14/3.53 0 ==> 0
% 3.14/3.53 end
% 3.14/3.53
% 3.14/3.53 eqswap: (27465) {G0,W9,D4,L1,V1,M1} { c_Groups_Oabs__class_Oabs(
% 3.14/3.53 tc_RealDef_Oreal, X ) ==> c_NthRoot_Osqrt( c_Groups_Otimes__class_Otimes
% 3.14/3.53 ( tc_RealDef_Oreal, X, X ) ) }.
% 3.14/3.53 parent0[0]: (10) {G0,W9,D4,L1,V1,M1} I { c_NthRoot_Osqrt(
% 3.14/3.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) ==>
% 3.14/3.53 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) }.
% 3.14/3.53 substitution0:
% 3.14/3.53 X := X
% 3.14/3.53 end
% 3.14/3.53
% 3.14/3.53 paramod: (27468) {G1,W23,D7,L2,V0,M2} { c_Groups_Oabs__class_Oabs(
% 3.14/3.53 tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 3.14/3.53 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ==> c_NthRoot_Osqrt(
% 3.14/3.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 3.14/3.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.14/3.53 c_Int_OBit1( c_Int_OPls ) ) ), c_Int_Onumber__class_Onumber__of(
% 3.14/3.53 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ), !
% 3.14/3.53 class_Int_Onumber__ring( tc_RealDef_Oreal ) }.
% 3.14/3.53 parent0[1]: (94) {G0,W15,D6,L2,V2,M2} I { ! class_Int_Onumber__ring( X ),
% 3.14/3.53 c_Groups_Otimes__class_Otimes( X, Y, c_Int_Onumber__class_Onumber__of( X
% 3.14/3.53 , c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) =
% 3.14/3.53 c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 3.14/3.53 parent1[0; 9]: (27465) {G0,W9,D4,L1,V1,M1} { c_Groups_Oabs__class_Oabs(
% 3.14/3.53 tc_RealDef_Oreal, X ) ==> c_NthRoot_Osqrt( c_Groups_Otimes__class_Otimes
% 3.14/3.53 ( tc_RealDef_Oreal, X, X ) ) }.
% 3.14/3.53 substitution0:
% 3.14/3.53 X := tc_RealDef_Oreal
% 3.14/3.53 Y := c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.14/3.53 c_Int_OBit1( c_Int_OPls ) ) )
% 3.14/3.53 end
% 3.14/3.53 substitution1:
% 3.14/3.53 X := c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.14/3.53 c_Int_OBit1( c_Int_OPls ) ) )
% 3.14/3.53 end
% 3.14/3.53
% 3.14/3.53 paramod: (27469) {G1,W23,D7,L3,V0,M3} { c_Groups_Oabs__class_Oabs(
% 3.14/3.53 tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 3.14/3.53 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ==> c_NthRoot_Osqrt(
% 3.14/3.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 3.14/3.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit0( c_Int_OBit1(
% 3.14/3.53 c_Int_OPls ) ), c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ), !
% 3.14/3.53 class_Int_Onumber__ring( tc_RealDef_Oreal ), ! class_Int_Onumber__ring(
% 3.14/3.53 tc_RealDef_Oreal ) }.
% 3.14/3.53 parent0[1]: (61) {G0,W17,D4,L2,V3,M2} I { ! class_Int_Onumber__ring( X ),
% 3.14/3.53 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X, Z )
% 3.14/3.53 , c_Int_Onumber__class_Onumber__of( X, Y ) ) ==>
% 3.14/3.53 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 3.14/3.53 tc_Int_Oint, Z, Y ) ) }.
% 3.14/3.53 parent1[0; 9]: (27468) {G1,W23,D7,L2,V0,M2} { c_Groups_Oabs__class_Oabs(
% 3.14/3.53 tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 3.14/3.53 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ==> c_NthRoot_Osqrt(
% 3.14/3.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 3.14/3.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.14/3.53 c_Int_OBit1( c_Int_OPls ) ) ), c_Int_Onumber__class_Onumber__of(
% 3.14/3.53 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ), !
% 3.14/3.53 class_Int_Onumber__ring( tc_RealDef_Oreal ) }.
% 3.14/3.53 substitution0:
% 3.14/3.53 X := tc_RealDef_Oreal
% 3.14/3.53 Y := c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) )
% 3.14/3.53 Z := c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) )
% 3.14/3.53 end
% 3.14/3.53 substitution1:
% 3.14/3.53 end
% 3.14/3.53
% 3.14/3.53 factor: (27470) {G1,W21,D7,L2,V0,M2} { c_Groups_Oabs__class_Oabs(
% 3.14/3.53 tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 3.14/3.53 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ==> c_NthRoot_Osqrt(
% 3.14/3.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 3.14/3.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit0( c_Int_OBit1(
% 3.14/3.53 c_Int_OPls ) ), c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ), !
% 3.14/3.53 class_Int_Onumber__ring( tc_RealDef_Oreal ) }.
% 3.14/3.53 parent0[1, 2]: (27469) {G1,W23,D7,L3,V0,M3} { c_Groups_Oabs__class_Oabs(
% 3.14/3.53 tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 3.14/3.53 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ==> c_NthRoot_Osqrt(
% 3.14/3.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 3.14/3.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit0( c_Int_OBit1(
% 3.14/3.53 c_Int_OPls ) ), c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ), !
% 3.14/3.53 class_Int_Onumber__ring( tc_RealDef_Oreal ), ! class_Int_Onumber__ring(
% 3.14/3.53 tc_RealDef_Oreal ) }.
% 3.14/3.53 substitution0:
% 3.14/3.53 end
% 3.14/3.53
% 3.14/3.53 paramod: (27471) {G1,W17,D7,L2,V0,M2} { c_Groups_Oabs__class_Oabs(
% 3.14/3.53 tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 3.14/3.53 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ==> c_NthRoot_Osqrt(
% 3.14/3.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.14/3.53 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ), ! class_Int_Onumber__ring
% 3.14/3.53 ( tc_RealDef_Oreal ) }.
% 3.14/3.53 parent0[0]: (72) {G0,W7,D3,L1,V1,M1} I { c_Groups_Oplus__class_Oplus(
% 3.14/3.53 tc_Int_Oint, X, X ) ==> c_Int_OBit0( X ) }.
% 3.14/3.53 parent1[0; 11]: (27470) {G1,W21,D7,L2,V0,M2} { c_Groups_Oabs__class_Oabs(
% 3.14/3.53 tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 3.14/3.53 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ==> c_NthRoot_Osqrt(
% 3.14/3.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 3.14/3.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit0( c_Int_OBit1(
% 3.14/3.53 c_Int_OPls ) ), c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ), !
% 3.14/3.53 class_Int_Onumber__ring( tc_RealDef_Oreal ) }.
% 3.14/3.53 substitution0:
% 3.14/3.53 X := c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) )
% 3.14/3.53 end
% 3.14/3.53 substitution1:
% 3.14/3.53 end
% 3.14/3.53
% 3.14/3.53 resolution: (27472) {G1,W15,D7,L1,V0,M1} { c_Groups_Oabs__class_Oabs(
% 3.14/3.53 tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 3.14/3.53 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ==> c_NthRoot_Osqrt(
% 3.14/3.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.14/3.53 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 3.14/3.53 parent0[1]: (27471) {G1,W17,D7,L2,V0,M2} { c_Groups_Oabs__class_Oabs(
% 3.14/3.53 tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 3.14/3.53 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ==> c_NthRoot_Osqrt(
% 3.14/3.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.14/3.53 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ), ! class_Int_Onumber__ring
% 3.14/3.53 ( tc_RealDef_Oreal ) }.
% 3.14/3.53 parent1[0]: (1588) {G0,W2,D2,L1,V0,M1} I { class_Int_Onumber__ring(
% 3.14/3.53 tc_RealDef_Oreal ) }.
% 3.14/3.53 substitution0:
% 3.14/3.53 end
% 3.14/3.53 substitution1:
% 3.14/3.53 end
% 3.14/3.53
% 3.14/3.53 subsumption: (7605) {G1,W15,D7,L1,V0,M1} P(94,10);d(61);d(72);r(1588) {
% 3.14/3.53 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 3.14/3.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.14/3.53 c_Int_OBit1( c_Int_OPls ) ) ) ) ==> c_NthRoot_Osqrt(
% 3.14/3.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.14/3.53 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 3.14/3.53 parent0: (27472) {G1,W15,D7,L1,V0,M1} { c_Groups_Oabs__class_Oabs(
% 3.14/3.53 tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 3.14/3.53 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ==> c_NthRoot_Osqrt(
% 3.14/3.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.14/3.53 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 3.14/3.53 substitution0:
% 3.14/3.53 end
% 3.14/3.53 permutation0:
% 3.14/3.53 0 ==> 0
% 3.14/3.53 end
% 3.14/3.53
% 3.14/3.53 resolution: (27476) {G2,W0,D0,L0,V0,M0} { }.
% 3.14/3.53 parent0[0]: (1638) {G1,W15,D7,L1,V0,M1} I;d(9) { !
% 3.14/3.53 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 3.14/3.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.14/3.53 c_Int_OBit1( c_Int_OPls ) ) ) ) ==> c_NthRoot_Osqrt(
% 3.14/3.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.14/3.53 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 3.14/3.53 parent1[0]: (7605) {G1,W15,D7,L1,V0,M1} P(94,10);d(61);d(72);r(1588) {
% 3.14/3.53 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 3.14/3.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.14/3.53 c_Int_OBit1( c_Int_OPls ) ) ) ) ==> c_NthRoot_Osqrt(
% 3.14/3.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 3.14/3.53 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 3.14/3.53 substitution0:
% 3.14/3.53 end
% 3.14/3.53 substitution1:
% 3.14/3.53 end
% 3.14/3.53
% 3.14/3.53 subsumption: (20025) {G2,W0,D0,L0,V0,M0} S(7605);r(1638) { }.
% 3.14/3.53 parent0: (27476) {G2,W0,D0,L0,V0,M0} { }.
% 3.14/3.53 substitution0:
% 3.14/3.53 end
% 3.14/3.53 permutation0:
% 3.14/3.53 end
% 3.14/3.53
% 3.14/3.53 Proof check complete!
% 3.14/3.53
% 3.14/3.53 Memory use:
% 3.14/3.53
% 3.14/3.53 space for terms: 543690
% 3.14/3.53 space for clauses: 1082113
% 3.14/3.53
% 3.14/3.53
% 3.14/3.53 clauses generated: 77214
% 3.14/3.53 clauses kept: 20026
% 3.14/3.53 clauses selected: 916
% 3.14/3.53 clauses deleted: 477
% 3.14/3.53 clauses inuse deleted: 1
% 3.14/3.53
% 3.14/3.53 subsentry: 266431
% 3.14/3.53 literals s-matched: 128533
% 3.14/3.53 literals matched: 123033
% 3.14/3.53 full subsumption: 69885
% 3.14/3.53
% 3.14/3.53 checksum: 629537939
% 3.14/3.53
% 3.14/3.53
% 3.14/3.53 Bliksem ended
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