%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWW230+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 23:21:24 EDT 2022
% Result : Theorem 4.69s 5.11s
% Output : Refutation 4.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW230+1 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sat Jun 4 20:32:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.91/1.51 *** allocated 10000 integers for termspace/termends
% 0.91/1.51 *** allocated 10000 integers for clauses
% 0.91/1.51 *** allocated 10000 integers for justifications
% 0.91/1.51 *** allocated 15000 integers for termspace/termends
% 0.91/1.51 *** allocated 22500 integers for termspace/termends
% 0.91/1.51 *** allocated 33750 integers for termspace/termends
% 0.91/1.51 Bliksem 1.12
% 0.91/1.51
% 0.91/1.51
% 0.91/1.51 Automatic Strategy Selection
% 0.91/1.51
% 0.91/1.51 *** allocated 50625 integers for termspace/termends
% 0.91/1.51 *** allocated 75937 integers for termspace/termends
% 0.91/1.51 *** allocated 113905 integers for termspace/termends
% 0.91/1.51
% 0.91/1.51 Clauses:
% 0.91/1.51
% 0.91/1.51 { c_SEQ_Osubseq( v_f____ ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Z, Y ) ), X ),
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, T ) ),
% 0.91/1.51 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs
% 0.91/1.51 ( tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Z, T
% 0.91/1.51 ) ), X ) ) }.
% 0.91/1.51 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.51 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.91/1.51 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Groups_Oplus__class_Oplus(
% 0.91/1.51 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.51 ( tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 0.91/1.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ),
% 0.91/1.51 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) ),
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.91/1.51 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 0.91/1.51 tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 0.91/1.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ),
% 0.91/1.51 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, v_z____ ) ) ) ) ) }.
% 0.91/1.51 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.51 ( tc_Complex_Ocomplex, v_p, v_g____( X ) ) ) ) }.
% 0.91/1.51 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.51 ( tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 0.91/1.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ) )
% 0.91/1.51 }.
% 0.91/1.51 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.51 ( tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 0.91/1.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ),
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.51 ( tc_Complex_Ocomplex, v_p, v_z____ ) ) ) ),
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.91/1.51 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 0.91/1.51 tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 0.91/1.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ),
% 0.91/1.51 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, v_z____ ) ) ) ) }.
% 0.91/1.51 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, v_g____( X ) ), v_r
% 0.91/1.51 ) }.
% 0.91/1.51 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.91/1.51 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 0.91/1.51 tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 0.91/1.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ),
% 0.91/1.51 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, v_z____ ) ) ),
% 0.91/1.51 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.51 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.91/1.51 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Int_Onumber__class_Onumber__of(
% 0.91/1.51 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.91/1.51 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.51 ( tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 0.91/1.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ),
% 0.91/1.51 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) ),
% 0.91/1.51 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.51 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.91/1.51 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Int_Onumber__class_Onumber__of(
% 0.91/1.51 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.91/1.51 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.91/1.51 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.91/1.51 c_Int_OBit1( c_Int_OPls ) ) ) ), Y ) = c_Rings_Oinverse__class_Odivide(
% 0.91/1.51 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y )
% 0.91/1.51 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.91/1.51 c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.91/1.51 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.91/1.51 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.91/1.51 c_Int_OBit1( c_Int_OPls ) ) ) ), X ) = c_Rings_Oinverse__class_Odivide(
% 0.91/1.51 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X )
% 0.91/1.51 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.91/1.51 c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), !
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, T, Z ) ), X ), !
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.91/1.51 c_Int_OBit1( c_Int_OPls ) ) ), X ), c_Groups_Oplus__class_Oplus(
% 0.91/1.51 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, T, Z ) ), Y ) ) }.
% 0.91/1.51 { c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.91/1.51 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X,
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.91/1.51 c_Int_OBit1( c_Int_OPls ) ) ) ), c_Rings_Oinverse__class_Odivide(
% 0.91/1.51 tc_RealDef_Oreal, X, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 0.91/1.51 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) = X }.
% 0.91/1.51 { ! Z = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y,
% 0.91/1.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.91/1.51 c_Int_OBit1( c_Int_OPls ) ) ), X ) ), c_Groups_Otimes__class_Otimes(
% 0.91/1.51 tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 0.91/1.51 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ), Z ) =
% 0.91/1.51 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) }.
% 0.91/1.51 { ! c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.91/1.51 c_Int_OBit1( c_Int_OPls ) ) ), Z ) = c_Rings_Oinverse__class_Odivide(
% 0.91/1.51 tc_RealDef_Oreal, Y, X ), Z = c_Rings_Oinverse__class_Odivide(
% 0.91/1.51 tc_RealDef_Oreal, Y, c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.91/1.51 c_Int_OBit1( c_Int_OPls ) ) ), X ) ) }.
% 0.91/1.51 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.91/1.51 ) ) ) ) = c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 0.91/1.51 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.91/1.51 ) ) ), Y ) = c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 0.91/1.51 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.91/1.51 c_Int_OBit1( c_Int_OPls ) ) ), c_Groups_Oabs__class_Oabs(
% 0.91/1.51 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.51 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.91/1.51 ( tc_RealDef_Oreal, v_s____ ) ) ) ), c_RealDef_Oreal( tc_Nat_Onat,
% 0.91/1.51 v_N2____ ) ) }.
% 0.91/1.51 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, v_w____ ), v_r ) }
% 0.91/1.51 .
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ), v_r ),
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.51 ( tc_Complex_Ocomplex, v_p, X ) ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), !
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.91/1.51 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, Z ) ),
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y ) ), Z ) }.
% 0.91/1.51 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), v_r ) }.
% 0.91/1.51 { ! alpha1( Y ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, Y )
% 0.91/1.51 , c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, v_s____ ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, v_s____ ), alpha1(
% 0.91/1.51 skol1( Y ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, v_s____ ),
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, skol1( X ) ) }.
% 0.91/1.51 { ! alpha1( X ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol2( Y ) ), v_r )
% 0.91/1.51 }.
% 0.91/1.51 { ! alpha1( X ), c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.91/1.51 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, skol2( X ) ) ) =
% 0.91/1.51 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ), v_r ), !
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.51 ( tc_Complex_Ocomplex, v_p, Y ) ) = c_Groups_Ouminus__class_Ouminus(
% 0.91/1.51 tc_RealDef_Oreal, X ), alpha1( X ) }.
% 0.91/1.51 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.91/1.51 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.51 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.91/1.51 ( tc_RealDef_Oreal, v_s____ ) ) ) ) }.
% 0.91/1.51 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.91/1.51 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.91/1.51 ), c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, Y ) }.
% 0.91/1.51 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, Y ),
% 0.91/1.51 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.91/1.51 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.91/1.51 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Int_OPls ) = X }.
% 0.91/1.51 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OPls, X ) = X }.
% 0.91/1.51 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0(
% 0.91/1.51 X ) ) = c_Int_OBit0( c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }
% 0.91/1.51 .
% 0.91/1.51 { c_Int_OBit0( X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, X ) }.
% 0.91/1.51 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Int_OPls, X ) = c_Int_OPls
% 0.91/1.51 }.
% 0.91/1.51 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Int_OBit0( Y ), X ) =
% 0.91/1.51 c_Int_OBit0( c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.91/1.51 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Int_OBit1( Y ), X ) =
% 0.91/1.51 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit0(
% 0.91/1.51 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ), X ) }.
% 0.91/1.51 { ! class_Int_Onumber( X ), ! class_Orderings_Olinorder( X ), !
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.91/1.51 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ), !
% 0.91/1.51 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.91/1.51 ), c_Int_Onumber__class_Onumber__of( X, Z ) ) }.
% 0.91/1.51 { ! class_Int_Onumber( X ), ! class_Orderings_Olinorder( X ),
% 0.91/1.51 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.91/1.51 ), c_Int_Onumber__class_Onumber__of( X, Z ) ),
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.91/1.51 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.91/1.51 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0(
% 0.91/1.51 X ) ) = c_Int_OBit1( c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }
% 0.91/1.51 .
% 0.91/1.51 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1(
% 0.91/1.51 X ) ) = c_Int_OBit1( c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }
% 0.91/1.51 .
% 0.91/1.51 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.91/1.51 , c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, T, Z )
% 0.91/1.51 ), Y ), c_Orderings_Oord__class_Oless( X, c_Groups_Ominus__class_Ominus
% 0.91/1.51 ( X, Z, Y ), T ) }.
% 0.91/1.51 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.91/1.51 , c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, T, Z )
% 0.91/1.51 ), Y ), c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus
% 0.91/1.51 ( X, Z, Y ) ) }.
% 0.91/1.51 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.91/1.51 , c_Groups_Ominus__class_Ominus( X, Z, Y ), T ), !
% 0.91/1.51 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.91/1.51 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oabs__class_Oabs( X,
% 0.91/1.51 c_Groups_Ominus__class_Ominus( X, T, Z ) ), Y ) }.
% 0.91/1.51 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ),
% 0.91/1.51 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.91/1.51 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, Y, X ) ),
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ) ) }.
% 0.91/1.51 { ! class_Int_Onumber__ring( X ), ! class_Int_Oring__char__0( X ), !
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( X, Y ), Z = Y }.
% 0.91/1.51 { ! class_Int_Onumber__ring( X ), ! class_Int_Oring__char__0( X ), ! Z = Y
% 0.91/1.51 , c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.91/1.51 { ! class_Int_Onumber( X ), ! c_Int_Onumber__class_Onumber__of( X, Z ) = Y
% 0.91/1.51 , Y = c_Int_Onumber__class_Onumber__of( X, Z ) }.
% 0.91/1.51 { ! class_Int_Onumber( X ), ! Y = c_Int_Onumber__class_Onumber__of( X, Z )
% 0.91/1.51 , c_Int_Onumber__class_Onumber__of( X, Z ) = Y }.
% 0.91/1.51 { ! c_Int_OBit1( Y ) = c_Int_OBit1( X ), Y = X }.
% 0.91/1.51 { ! Y = X, c_Int_OBit1( Y ) = c_Int_OBit1( X ) }.
% 0.91/1.51 { ! c_Int_OBit0( Y ) = c_Int_OBit0( X ), Y = X }.
% 0.91/1.51 { ! Y = X, c_Int_OBit0( Y ) = c_Int_OBit0( X ) }.
% 0.91/1.51 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.91/1.51 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z, Y ) }.
% 0.91/1.51 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z, Y ),
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.91/1.51 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.91/1.51 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Otimes__class_Otimes(
% 0.91/1.51 X, c_Int_Onumber__class_Onumber__of( X, Z ), Y ) ) =
% 0.91/1.51 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 0.91/1.51 c_Groups_Otimes__class_Otimes( tc_Int_Oint, T, Z ) ), Y ) }.
% 0.91/1.51 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( X, Z ),
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( X, c_Groups_Otimes__class_Otimes(
% 0.91/1.51 tc_Int_Oint, Z, Y ) ) }.
% 0.91/1.51 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.91/1.51 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ) ) =
% 0.91/1.51 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.91/1.51 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.91/1.51 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Oplus__class_Oplus( X
% 0.91/1.51 , c_Int_Onumber__class_Onumber__of( X, Z ), Y ) ) =
% 0.91/1.51 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.91/1.51 c_Groups_Oplus__class_Oplus( tc_Int_Oint, T, Z ) ), Y ) }.
% 0.91/1.51 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( X, Z ),
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.91/1.51 tc_Int_Oint, Z, Y ) ) }.
% 0.91/1.51 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.91/1.51 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, Y ) ) =
% 0.91/1.51 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X, Z )
% 0.91/1.51 , c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.91/1.51 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.91/1.51 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.91/1.51 , Y ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Ominus__class_Ominus(
% 0.91/1.51 X, U, Z ), c_Groups_Ominus__class_Ominus( X, T, Y ) ) }.
% 0.91/1.51 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.91/1.51 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Z, Y ) ) =
% 0.91/1.51 c_Groups_Ominus__class_Ominus( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.91/1.51 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.91/1.51 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.91/1.51 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) =
% 0.91/1.51 c_Groups_Ouminus__class_Ouminus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.91/1.51 Y ) ) }.
% 0.91/1.51 { ! class_Int_Onumber__ring( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( X, c_Groups_Ouminus__class_Ouminus(
% 0.91/1.51 tc_Int_Oint, Y ) ) }.
% 0.91/1.51 { ! c_Int_OBit1( X ) = c_Int_OPls }.
% 0.91/1.51 { ! c_Int_OPls = c_Int_OBit1( X ) }.
% 0.91/1.51 { ! c_Int_OBit1( Y ) = c_Int_OBit0( X ) }.
% 0.91/1.51 { ! c_Int_OBit0( Y ) = c_Int_OBit1( X ) }.
% 0.91/1.51 { ! c_Int_OBit0( X ) = c_Int_OPls, X = c_Int_OPls }.
% 0.91/1.51 { ! X = c_Int_OPls, c_Int_OBit0( X ) = c_Int_OPls }.
% 0.91/1.51 { ! c_Int_OPls = c_Int_OBit0( X ), c_Int_OPls = X }.
% 0.91/1.51 { ! c_Int_OPls = X, c_Int_OPls = c_Int_OBit0( X ) }.
% 0.91/1.51 { c_Int_OBit0( c_Int_OPls ) = c_Int_OPls }.
% 0.91/1.51 { ! class_Int_Onumber( X ), ! class_Rings_Osemiring( X ),
% 0.91/1.51 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.91/1.51 , c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.91/1.51 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Groups_Otimes__class_Otimes
% 0.91/1.51 ( X, Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.91/1.51 { ! class_Int_Onumber( X ), ! class_Rings_Osemiring( X ),
% 0.91/1.51 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.91/1.51 ), c_Groups_Oplus__class_Oplus( X, Z, Y ) ) =
% 0.91/1.51 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( X, T ), Z ),
% 0.91/1.51 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.91/1.51 ), Y ) ) }.
% 0.91/1.51 { ! class_Int_Onumber( X ), ! class_Rings_Oring( X ),
% 0.91/1.51 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, T, Z
% 0.91/1.51 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.91/1.51 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Groups_Otimes__class_Otimes
% 0.91/1.51 ( X, Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.91/1.51 { ! class_Int_Onumber( X ), ! class_Rings_Oring( X ),
% 0.91/1.51 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.91/1.51 ), c_Groups_Ominus__class_Ominus( X, Z, Y ) ) =
% 0.91/1.51 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X,
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( X, T ), Z ),
% 0.91/1.51 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.91/1.51 ), Y ) ) }.
% 0.91/1.51 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Ominus__class_Ominus(
% 0.91/1.51 X, c_Int_Onumber__class_Onumber__of( X, Z ), Y ) ) =
% 0.91/1.51 c_Groups_Ominus__class_Ominus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.91/1.51 c_Groups_Oplus__class_Oplus( tc_Int_Oint, T, Z ) ), Y ) }.
% 0.91/1.51 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.91/1.51 c_Groups_Ouminus__class_Ouminus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.91/1.51 Z ) ), Y ) = c_Groups_Otimes__class_Otimes( X,
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( X, c_Groups_Ouminus__class_Ouminus(
% 0.91/1.51 tc_Int_Oint, Z ) ), Y ) }.
% 0.91/1.51 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ), Y ) = Y }.
% 0.91/1.51 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X, Y,
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ) ) = Y }.
% 0.91/1.51 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, Y ),
% 0.91/1.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.91/1.51 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ), hAPP( Z, Y
% 0.91/1.51 ) ), c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y ) ), Y ) ) =
% 0.91/1.51 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ),
% 0.91/1.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.91/1.51 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ), hAPP( Z, Y
% 0.91/1.51 ) ), c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y ) ), X ) ) }
% 0.91/1.51 .
% 0.91/1.51 { ! class_RealVector_Oreal__field( X ), c_Rings_Oinverse__class_Odivide( X
% 0.91/1.51 , c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, W,
% 0.91/1.51 U ), c_Groups_Otimes__class_Otimes( X, T, Z ) ), Y ) =
% 0.91/1.51 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W,
% 0.91/1.51 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X, U,
% 0.91/1.51 Z ), Y ) ), c_Groups_Otimes__class_Otimes( X,
% 0.91/1.51 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X, W,
% 0.91/1.51 T ), Y ), Z ) ) }.
% 0.91/1.51 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ), Y ) = Y
% 0.91/1.51 }.
% 0.91/1.51 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ) ) = Y }
% 0.91/1.51 .
% 0.91/1.51 { ! class_Fields_Ofield( X ), ! class_Int_Onumber__ring( X ),
% 0.91/1.51 c_Rings_Oinverse__class_Odivide( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.91/1.51 X, c_Int_OBit1( c_Int_OPls ) ) ) = Y }.
% 0.91/1.51 { ! class_Fields_Ofield( X ), ! class_Int_Onumber__ring( X ),
% 0.91/1.51 c_Rings_Oinverse__class_Odivide( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.91/1.51 X, c_Int_OBit1( c_Int_OPls ) ) ) = Y }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.91/1.51 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ),
% 0.91/1.51 v_d____ ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.91/1.51 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 0.91/1.51 tc_Complex_Ocomplex, v_p, X ), c_Polynomial_Opoly( tc_Complex_Ocomplex,
% 0.91/1.51 v_p, v_z____ ) ) ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.51 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.91/1.51 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Int_Onumber__class_Onumber__of(
% 0.91/1.51 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.91/1.51 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.91/1.51 c_Int_OBit1( c_Int_OPls ) ) ), c_Groups_Oabs__class_Oabs(
% 0.91/1.51 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.51 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.91/1.51 ( tc_RealDef_Oreal, v_s____ ) ) ) ), c_RealDef_Oreal( tc_Nat_Onat, skol3
% 0.91/1.51 ) ) }.
% 0.91/1.51 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.91/1.51 c_Int_OBit1( c_Int_OPls ) ) ), c_Groups_Oabs__class_Oabs(
% 0.91/1.51 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.51 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.91/1.51 ( tc_RealDef_Oreal, v_s____ ) ) ) ), c_RealDef_Oreal( tc_Nat_Onat, skol4
% 0.91/1.51 ) ) }.
% 0.91/1.51 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.91/1.51 c_Int_OBit1( c_Int_OPls ) ) ), c_Groups_Oabs__class_Oabs(
% 0.91/1.51 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.51 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.91/1.51 ( tc_RealDef_Oreal, v_s____ ) ) ) ), c_RealDef_Oreal( tc_Nat_Onat,
% 0.91/1.51 c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____
% 0.91/1.51 ) ) ) ) }.
% 0.91/1.51 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.91/1.51 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.51 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.91/1.51 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Int_Onumber__class_Onumber__of(
% 0.91/1.51 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ), v_r ), !
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.51 ( tc_Complex_Ocomplex, v_p, X ) ), c_Groups_Ouminus__class_Ouminus(
% 0.91/1.51 tc_RealDef_Oreal, v_s____ ) ), c_Orderings_Oord__class_Oless(
% 0.91/1.51 tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.91/1.51 v_s____ ), c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) )
% 0.91/1.51 }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.91/1.51 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ),
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol5 ), v_r ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.91/1.51 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ),
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.51 ( tc_Complex_Ocomplex, v_p, skol5 ) ), c_Groups_Ouminus__class_Ouminus(
% 0.91/1.51 tc_RealDef_Oreal, v_s____ ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ), v_r ), !
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.51 ( tc_Complex_Ocomplex, v_p, Y ) ), X ), c_Orderings_Oord__class_Oless(
% 0.91/1.51 tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.91/1.51 v_s____ ), X ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ), X ),
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol6( Y ) ), v_r )
% 0.91/1.51 }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ), X ),
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.51 ( tc_Complex_Ocomplex, v_p, skol6( X ) ) ), X ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ), v_r ), !
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.51 ( tc_Complex_Ocomplex, v_p, Y ) ) ) ), X ), c_Orderings_Oord__class_Oless
% 0.91/1.51 ( tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.91/1.51 v_s____ ), X ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ), X ),
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol7( Y ) ), v_r )
% 0.91/1.51 }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ), X ),
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.51 ( tc_Complex_Ocomplex, v_p, skol7( X ) ) ) ) ), X ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ), v_r ), !
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.51 ( tc_Complex_Ocomplex, v_p, Y ) ) = c_Groups_Ouminus__class_Ouminus(
% 0.91/1.51 tc_RealDef_Oreal, X ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X
% 0.91/1.51 , skol8 ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.91/1.51 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ) ), !
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.91/1.51 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ),
% 0.91/1.51 v_d____ ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.91/1.51 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 0.91/1.51 tc_Complex_Ocomplex, v_p, X ), c_Polynomial_Opoly( tc_Complex_Ocomplex,
% 0.91/1.51 v_p, v_z____ ) ) ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.51 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.91/1.51 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Int_Onumber__class_Onumber__of(
% 0.91/1.51 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.91/1.51 c_Int_OBit1( c_Int_OPls ) ) ) ), X ) }.
% 0.91/1.51 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), v_d____ ) }.
% 0.91/1.51 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.91/1.51 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ), hAPP(
% 0.91/1.51 v_f____, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) )
% 0.91/1.51 ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, v_N1____, X ),
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.91/1.51 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, v_g____( hAPP(
% 0.91/1.51 v_f____, X ) ), v_z____ ) ), v_d____ ) }.
% 0.91/1.51 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.91/1.51 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.91/1.51 v_N1____, v_N2____ ) ) ) ) }.
% 0.91/1.51 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.91/1.51 tc_Nat_Onat, X ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, skol9( X ), Y ),
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.91/1.51 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, v_g____( hAPP(
% 0.91/1.51 v_f____, Y ) ), v_z____ ) ), X ) }.
% 0.91/1.51 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.51 ( tc_Complex_Ocomplex, v_p, v_g____( X ) ) ), c_Groups_Oplus__class_Oplus
% 0.91/1.51 ( tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.91/1.51 v_s____ ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.91/1.51 tc_Nat_Onat, c_Nat_OSuc( X ) ) ) ) ) }.
% 0.91/1.51 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, X ) }.
% 0.91/1.51 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint,
% 0.91/1.51 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) = X }.
% 0.91/1.51 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint,
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) =
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.91/1.51 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) }.
% 0.91/1.51 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Groups_Oplus__class_Oplus
% 0.91/1.51 ( tc_Int_Oint, Y, X ) ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.91/1.51 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ),
% 0.91/1.51 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) }.
% 0.91/1.51 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) =
% 0.91/1.51 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Y ) }.
% 0.91/1.51 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) =
% 0.91/1.51 c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y ) }.
% 0.91/1.51 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Y ) }.
% 0.91/1.51 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ) =
% 0.91/1.51 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 0.91/1.51 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), ! Y = X }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), Y = X,
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.91/1.51 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), Y = X,
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Y ) }.
% 0.91/1.51 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 0.91/1.51 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) =
% 0.91/1.51 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ) }.
% 0.91/1.51 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, c_Groups_Oplus__class_Oplus
% 0.91/1.51 ( tc_Int_Oint, Y, X ) ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 0.91/1.51 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, X ) ) }.
% 0.91/1.51 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z,
% 0.91/1.51 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) =
% 0.91/1.51 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 0.91/1.51 tc_Int_Oint, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ) )
% 0.91/1.51 }.
% 0.91/1.51 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z,
% 0.91/1.51 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ) ) =
% 0.91/1.51 c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Groups_Otimes__class_Otimes
% 0.91/1.51 ( tc_Int_Oint, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X )
% 0.91/1.51 ) }.
% 0.91/1.51 { c_Groups_Otimes__class_Otimes( tc_Int_Oint,
% 0.91/1.51 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ), X ) =
% 0.91/1.51 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint,
% 0.91/1.51 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.91/1.51 { c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) =
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.91/1.51 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 0.91/1.51 { c_Groups_Otimes__class_Otimes( tc_Int_Oint,
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) =
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.91/1.51 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.91/1.51 { c_Groups_Ominus__class_Ominus( tc_Int_Oint,
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) =
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.91/1.51 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 0.91/1.51 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) }.
% 0.91/1.51 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.91/1.51 tc_Int_Oint, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z,
% 0.91/1.51 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 0.91/1.51 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Otimes__class_Otimes
% 0.91/1.51 ( tc_Int_Oint, Z, Y ), X ) = c_Groups_Otimes__class_Otimes( tc_Int_Oint,
% 0.91/1.51 Z, c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.91/1.51 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.91/1.51 tc_Int_Oint, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.91/1.51 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ),
% 0.91/1.51 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.91/1.51 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Ominus__class_Ominus
% 0.91/1.51 ( tc_Int_Oint, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Int_Oint,
% 0.91/1.51 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ),
% 0.91/1.51 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.91/1.51 tc_Int_Oint, Y, Z ), c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Z ) ) }
% 0.91/1.51 .
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.91/1.51 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, Y ),
% 0.91/1.51 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, X ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), !
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Z ),
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, Z ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), !
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Y ), Y = X }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), !
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, T, Z ),
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.91/1.51 tc_Int_Oint, Y, T ), c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Z ) ) }
% 0.91/1.51 .
% 0.91/1.51 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.91/1.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ) =
% 0.91/1.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ), Z = Y }.
% 0.91/1.51 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! Z = Y,
% 0.91/1.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ) =
% 0.91/1.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) }.
% 0.91/1.51 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.91/1.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ) =
% 0.91/1.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ), Z = Y }.
% 0.91/1.51 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! Z = Y,
% 0.91/1.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ) =
% 0.91/1.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) }.
% 0.91/1.51 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.91/1.51 tc_Nat_Onat, c_Nat_OSuc( X ) ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), c_RealDef_Oreal
% 0.91/1.51 ( tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 0.91/1.51 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.91/1.51 tc_Nat_Onat, X ), c_RealDef_Oreal( tc_Nat_Onat, Y ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit1( X
% 0.91/1.51 ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ),
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit1( X )
% 0.91/1.51 ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( X ),
% 0.91/1.51 c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls )
% 0.91/1.51 }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( X ),
% 0.91/1.51 c_Int_OPls ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.91/1.51 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.91/1.51 ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1
% 0.91/1.51 ( X ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.91/1.51 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.91/1.51 ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1
% 0.91/1.51 ( X ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.91/1.51 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.91/1.51 .
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.91/1.51 c_Int_OBit0( X ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.91/1.51 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.91/1.51 .
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.91/1.51 c_Int_OBit0( X ) ) }.
% 0.91/1.51 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, X, c_Int_OPls ) = X }.
% 0.91/1.51 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0
% 0.91/1.51 ( X ) ) = c_Int_OBit0( c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X )
% 0.91/1.51 ) }.
% 0.91/1.51 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OPls ) = c_Int_OPls }
% 0.91/1.51 .
% 0.91/1.51 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OBit0( X ) ) =
% 0.91/1.51 c_Int_OBit0( c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.91/1.51 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.91/1.51 .
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1
% 0.91/1.51 ( X ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.91/1.51 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.91/1.51 .
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1
% 0.91/1.51 ( X ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OPls ) }
% 0.91/1.51 .
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.91/1.51 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.91/1.51 .
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0
% 0.91/1.51 ( X ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.91/1.51 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.91/1.51 .
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0
% 0.91/1.51 ( X ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.91/1.51 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.91/1.51 ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.91/1.51 c_Int_OBit1( X ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.91/1.51 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.91/1.51 ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.91/1.51 c_Int_OBit1( X ) ) }.
% 0.91/1.51 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OPls )
% 0.91/1.51 }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.91/1.51 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.91/1.51 ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.91/1.51 c_Int_OBit0( X ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.91/1.51 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.91/1.51 ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.91/1.51 c_Int_OBit0( X ) ) }.
% 0.91/1.51 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.91/1.51 c_Groups_Oplus__class_Oplus( X, Y, Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.91/1.51 , Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.91/1.51 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.91/1.51 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.91/1.51 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.91/1.51 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Oplus__class_Oplus( X, Z, Y )
% 0.91/1.51 = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ouminus__class_Ouminus
% 0.91/1.51 ( X, Z ) }.
% 0.91/1.51 { ! class_Groups_Ogroup__add( X ), ! Y = c_Groups_Ouminus__class_Ouminus( X
% 0.91/1.51 , Z ), c_Groups_Oplus__class_Oplus( X, Z, Y ) =
% 0.91/1.51 c_Groups_Ozero__class_Ozero( X ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.91/1.51 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ),
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.91/1.51 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.91/1.51 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ),
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.91/1.51 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ),
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ),
% 0.91/1.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.91/1.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.91/1.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ),
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ),
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.91/1.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.91/1.51 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ), alpha2( X, Y
% 0.91/1.51 ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.91/1.51 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ), alpha35( X,
% 0.91/1.51 Y ) }.
% 0.91/1.51 { ! alpha2( X, Y ), ! alpha35( X, Y ), c_Orderings_Oord__class_Oless__eq(
% 0.91/1.51 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.91/1.51 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ) }.
% 0.91/1.51 { ! alpha35( X, Y ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), alpha35( X, Y ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), alpha35( X, Y ) }.
% 0.91/1.51 { ! alpha2( X, Y ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y
% 0.91/1.51 , c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y,
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), alpha2( X, Y ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), alpha2( X, Y ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.91/1.51 tc_Nat_Onat, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ),
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ),
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.91/1.51 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.91/1.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y =
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.91/1.51 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.91/1.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X =
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.91/1.51 { ! Y = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! X =
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.91/1.51 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.91/1.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.91/1.51 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) =
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X =
% 0.91/1.51 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) }.
% 0.91/1.51 { ! X = c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ),
% 0.91/1.51 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) =
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.91/1.51 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y,
% 0.91/1.51 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) =
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y = X }.
% 0.91/1.51 { ! Y = X, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y,
% 0.91/1.51 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) =
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.91/1.51 { ! class_Int_Onumber__ring( X ), c_Groups_Ominus__class_Ominus( X,
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( X, Z ),
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.91/1.51 tc_Int_Oint, Z, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) ) }.
% 0.91/1.51 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0
% 0.91/1.51 ( X ) ) = c_Int_OBit1( c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X )
% 0.91/1.51 ) }.
% 0.91/1.51 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1
% 0.91/1.51 ( X ) ) = c_Int_OBit0( c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X )
% 0.91/1.51 ) }.
% 0.91/1.51 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OPls, c_Int_OBit0( X )
% 0.91/1.51 ) = c_Int_OBit0( c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OPls
% 0.91/1.51 , X ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ),
% 0.91/1.51 c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls )
% 0.91/1.51 }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ), c_Int_OPls
% 0.91/1.51 ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.91/1.51 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.91/1.51 .
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0
% 0.91/1.51 ( X ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.91/1.51 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.91/1.51 .
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0
% 0.91/1.51 ( X ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit0( X
% 0.91/1.51 ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ),
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit0( X )
% 0.91/1.51 ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ),
% 0.91/1.51 c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls )
% 0.91/1.51 }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ), c_Int_OPls
% 0.91/1.51 ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit1
% 0.91/1.51 ( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X )
% 0.91/1.51 }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ),
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit1(
% 0.91/1.51 X ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.91/1.51 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.91/1.51 ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.91/1.51 c_Int_OBit1( X ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.91/1.51 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.91/1.51 ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.91/1.51 c_Int_OBit1( X ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit0
% 0.91/1.51 ( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X )
% 0.91/1.51 }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ),
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit0(
% 0.91/1.51 X ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( X ),
% 0.91/1.51 c_Int_OPls ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X,
% 0.91/1.51 c_Int_OPls ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ),
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( X ),
% 0.91/1.51 c_Int_OPls ) }.
% 0.91/1.51 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.91/1.51 , c_Groups_Oplus__class_Oplus( X, Y, Y ), c_Groups_Ozero__class_Ozero( X
% 0.91/1.51 ) ), c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X
% 0.91/1.51 ) ) }.
% 0.91/1.51 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.91/1.51 , Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.91/1.51 , c_Groups_Oplus__class_Oplus( X, Y, Y ), c_Groups_Ozero__class_Ozero( X
% 0.91/1.51 ) ) }.
% 0.91/1.51 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.91/1.51 c_Int_OPls ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.91/1.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ),
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ),
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.91/1.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ),
% 0.91/1.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ),
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ),
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ),
% 0.91/1.51 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.91/1.51 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ),
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), X ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), X ),
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.91/1.51 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.91/1.51 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.91/1.51 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ),
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.91/1.51 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ),
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), X ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), X ),
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.91/1.51 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.91/1.51 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.91/1.51 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ),
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.51 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.91/1.51 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) =
% 0.91/1.51 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) }.
% 0.91/1.51 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.91/1.51 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) = X }.
% 0.91/1.51 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.91/1.51 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) =
% 0.91/1.51 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) }.
% 0.91/1.51 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.91/1.51 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.91/1.51 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) = X }.
% 0.91/1.51 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Ominus__class_Ominus(
% 0.91/1.51 X, Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) =
% 0.91/1.51 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.91/1.51 c_Groups_Oplus__class_Oplus( tc_Int_Oint, T,
% 0.91/1.51 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) ), Z ) }.
% 0.91/1.51 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, Y ) }.
% 0.91/1.51 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, Y ),
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.91/1.51 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.91/1.51 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ) }.
% 0.91/1.51 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ),
% 0.91/1.51 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.91/1.51 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.51 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.91/1.51 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.91/1.51 ( tc_Int_Oint, c_Int_OPls, Y ) }.
% 0.91/1.51 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, Y ),
% 0.91/1.51 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.91/1.51 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.91/1.51 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.91/1.51 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless(
% 0.91/1.51 tc_Int_Oint, Y, c_Int_OPls ) }.
% 0.91/1.51 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.91/1.51 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.91/1.51 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.91/1.51 ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.51 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.91/1.51 c_Int_OBit0( Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.91/1.51 c_Groups_Oplus__class_Oplus( X, c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.91/1.51 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.91/1.51 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), ! T
% 0.91/1.51 = c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of
% 0.91/1.51 ( X, Y ) ), alpha36( X, Y, Z, T ) }.
% 0.91/1.51 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), ! T
% 0.91/1.51 = c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of
% 0.91/1.51 ( X, Y ) ), alpha3( X, Y, T ) }.
% 0.91/1.51 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.91/1.51 alpha36( X, Y, Z, T ), ! alpha3( X, Y, T ), T =
% 0.91/1.51 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.91/1.51 X, Y ) ) }.
% 0.91/1.51 { ! alpha36( X, Y, Z, T ), c_Int_Onumber__class_Onumber__of( X, Y ) =
% 0.91/1.51 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, T,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Y ) ) = Z }.
% 0.91/1.52 { ! c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero
% 0.91/1.52 ( X ), alpha36( X, Y, Z, T ) }.
% 0.91/1.52 { ! c_Groups_Otimes__class_Otimes( X, T, c_Int_Onumber__class_Onumber__of(
% 0.91/1.52 X, Y ) ) = Z, alpha36( X, Y, Z, T ) }.
% 0.91/1.52 { ! alpha3( X, Y, Z ), ! c_Int_Onumber__class_Onumber__of( X, Y ) =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.91/1.52 .
% 0.91/1.52 { c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.91/1.52 ), alpha3( X, Y, Z ) }.
% 0.91/1.52 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha3( X, Y, Z ) }.
% 0.91/1.52 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, T ) =
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha37( X, Y, Z, T ) }.
% 0.91/1.52 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, T ) =
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha4( X, Y, T ) }.
% 0.91/1.52 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.91/1.52 alpha37( X, Y, Z, T ), ! alpha4( X, Y, T ),
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, T ) =
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.91/1.52 { ! alpha37( X, Y, Z, T ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.91/1.52 ), Y ) = Z }.
% 0.91/1.52 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha37( X, Y, Z, T ) }.
% 0.91/1.52 { ! c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 0.91/1.52 T ), Y ) = Z, alpha37( X, Y, Z, T ) }.
% 0.91/1.52 { ! alpha4( X, Y, Z ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero( X
% 0.91/1.52 ) }.
% 0.91/1.52 { Y = c_Groups_Ozero__class_Ozero( X ), alpha4( X, Y, Z ) }.
% 0.91/1.52 { ! c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero
% 0.91/1.52 ( X ), alpha4( X, Y, Z ) }.
% 0.91/1.52 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( X, T, Z ) =
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Y ), alpha38( X, Y, Z, T ) }.
% 0.91/1.52 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( X, T, Z ) =
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Y ), alpha5( X, Y, Z ) }.
% 0.91/1.52 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.91/1.52 alpha38( X, Y, Z, T ), ! alpha5( X, Y, Z ),
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( X, T, Z ) =
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.91/1.52 { ! alpha38( X, Y, Z, T ), Z = c_Groups_Ozero__class_Ozero( X ), T =
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.91/1.52 ), Z ) }.
% 0.91/1.52 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha38( X, Y, Z, T ) }.
% 0.91/1.52 { ! T = c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of
% 0.91/1.52 ( X, Y ), Z ), alpha38( X, Y, Z, T ) }.
% 0.91/1.52 { ! alpha5( X, Y, Z ), ! Z = c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.91/1.52 ) }.
% 0.91/1.52 { Z = c_Groups_Ozero__class_Ozero( X ), alpha5( X, Y, Z ) }.
% 0.91/1.52 { ! c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero
% 0.91/1.52 ( X ), alpha5( X, Y, Z ) }.
% 0.91/1.52 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.91/1.52 X, Z ) ) = Y, alpha39( X, Y, Z, T ) }.
% 0.91/1.52 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.91/1.52 X, Z ) ) = Y, alpha6( X, Y, Z ) }.
% 0.91/1.52 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.91/1.52 alpha39( X, Y, Z, T ), ! alpha6( X, Y, Z ),
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.91/1.52 X, Z ) ) = Y }.
% 0.91/1.52 { ! alpha39( X, Y, Z, T ), c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), T = c_Groups_Otimes__class_Otimes( X, Y
% 0.91/1.52 , c_Int_Onumber__class_Onumber__of( X, Z ) ) }.
% 0.91/1.52 { ! c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero
% 0.91/1.52 ( X ), alpha39( X, Y, Z, T ) }.
% 0.91/1.52 { ! T = c_Groups_Otimes__class_Otimes( X, Y,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha39( X, Y, Z, T ) }.
% 0.91/1.52 { ! alpha6( X, Y, Z ), ! c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.91/1.52 .
% 0.91/1.52 { c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero( X
% 0.91/1.52 ), alpha6( X, Y, Z ) }.
% 0.91/1.52 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha6( X, Y, Z ) }.
% 0.91/1.52 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber__ring( X )
% 0.91/1.52 , c_Rings_Oinverse__class_Odivide( X, Y, c_Int_Onumber__class_Onumber__of
% 0.91/1.52 ( X, c_Int_OPls ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, X ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Y ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Z ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, Z ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Y ), Y = X }.
% 0.91/1.52 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) =
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) }.
% 0.91/1.52 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, Y ), X ) =
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.91/1.52 { ! c_RealDef_Oreal( tc_Nat_Onat, Y ) = c_RealDef_Oreal( tc_Nat_Onat, X ),
% 0.91/1.52 Y = X }.
% 0.91/1.52 { ! Y = X, c_RealDef_Oreal( tc_Nat_Onat, Y ) = c_RealDef_Oreal( tc_Nat_Onat
% 0.91/1.52 , X ) }.
% 0.91/1.52 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.52 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.91/1.52 X, Y ) ) ), alpha40( X, Y, Z, T ) }.
% 0.91/1.52 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.52 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.91/1.52 X, Y ) ) ), alpha66( X, Y, Z, T ) }.
% 0.91/1.52 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.52 class_Int_Onumber( X ), ! alpha40( X, Y, Z, T ), ! alpha66( X, Y, Z, T )
% 0.91/1.52 , c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X
% 0.91/1.52 , Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.91/1.52 { ! alpha66( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.91/1.52 ) ), alpha78( X, Y, Z, T ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha66( X, Y, Z, T ) }.
% 0.91/1.52 { ! alpha78( X, Y, Z, T ), alpha66( X, Y, Z, T ) }.
% 0.91/1.52 { ! alpha78( X, Y, Z, T ), alpha90( X, Y, Z, T ) }.
% 0.91/1.52 { ! alpha78( X, Y, Z, T ), alpha7( X, Y, T ) }.
% 0.91/1.52 { ! alpha90( X, Y, Z, T ), ! alpha7( X, Y, T ), alpha78( X, Y, Z, T ) }.
% 0.91/1.52 { ! alpha90( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.91/1.52 ) ), c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes
% 0.91/1.52 ( X, T, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.91/1.52 ), c_Groups_Ozero__class_Ozero( X ) ), alpha90( X, Y, Z, T ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X,
% 0.91/1.52 T, c_Int_Onumber__class_Onumber__of( X, Y ) ) ), alpha90( X, Y, Z, T ) }
% 0.91/1.52 .
% 0.91/1.52 { ! alpha40( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.91/1.52 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X
% 0.91/1.52 , T, c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha40( X, Y, Z, T ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ), alpha40( X, Y, Z, T ) }
% 0.91/1.52 .
% 0.91/1.52 { ! alpha7( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.91/1.52 ) ), c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.91/1.52 ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.91/1.52 Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha7( X, Y, Z ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.91/1.52 , alpha7( X, Y, Z ) }.
% 0.91/1.52 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.52 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 0.91/1.52 ( X, Z, Y ) ), alpha41( X, Y, Z, T ) }.
% 0.91/1.52 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.52 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 0.91/1.52 ( X, Z, Y ) ), alpha67( X, Y, Z, T ) }.
% 0.91/1.52 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.52 class_Int_Onumber( X ), ! alpha41( X, Y, Z, T ), ! alpha67( X, Y, Z, T )
% 0.91/1.52 , c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.91/1.52 T ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.91/1.52 { ! alpha67( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), Y ), alpha79( X, Y, Z, T ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.91/1.52 , alpha67( X, Y, Z, T ) }.
% 0.91/1.52 { ! alpha79( X, Y, Z, T ), alpha67( X, Y, Z, T ) }.
% 0.91/1.52 { ! alpha79( X, Y, Z, T ), alpha91( X, Y, Z, T ) }.
% 0.91/1.52 { ! alpha79( X, Y, Z, T ), alpha8( X, Y, T ) }.
% 0.91/1.52 { ! alpha91( X, Y, Z, T ), ! alpha8( X, Y, T ), alpha79( X, Y, Z, T ) }.
% 0.91/1.52 { ! alpha91( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Z,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.91/1.52 ), Y ) ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.91/1.52 alpha91( X, Y, Z, T ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, T ), Y ) ), alpha91( X, Y, Z, T ) }
% 0.91/1.52 .
% 0.91/1.52 { ! alpha41( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.91/1.52 ), Y ), Z ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.91/1.52 alpha41( X, Y, Z, T ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, T ), Y ), Z ), alpha41( X, Y, Z, T )
% 0.91/1.52 }.
% 0.91/1.52 { ! alpha8( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.91/1.52 ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.91/1.52 , alpha8( X, Y, Z ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.91/1.52 Z ), c_Groups_Ozero__class_Ozero( X ) ), alpha8( X, Y, Z ) }.
% 0.91/1.52 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.52 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha42( X, Y, Z, T ) }.
% 0.91/1.52 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.52 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha68( X, Y, Z, T ) }.
% 0.91/1.52 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.52 class_Int_Onumber( X ), ! alpha42( X, Y, Z, T ), ! alpha68( X, Y, Z, T )
% 0.91/1.52 , c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T
% 0.91/1.52 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.91/1.52 { ! alpha68( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), Z ), alpha80( X, Y, Z, T ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.91/1.52 , alpha68( X, Y, Z, T ) }.
% 0.91/1.52 { ! alpha80( X, Y, Z, T ), alpha68( X, Y, Z, T ) }.
% 0.91/1.52 { ! alpha80( X, Y, Z, T ), alpha92( X, Y, Z, T ) }.
% 0.91/1.52 { ! alpha80( X, Y, Z, T ), alpha9( X, Y, Z ) }.
% 0.91/1.52 { ! alpha92( X, Y, Z, T ), ! alpha9( X, Y, Z ), alpha80( X, Y, Z, T ) }.
% 0.91/1.52 { ! alpha92( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.91/1.52 ), Z ), T ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 0.91/1.52 alpha92( X, Y, Z, T ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Y ), Z ), T ), alpha92( X, Y, Z, T )
% 0.91/1.52 }.
% 0.91/1.52 { ! alpha42( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 T, c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X
% 0.91/1.52 , Y ), Z ) ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.91/1.52 alpha42( X, Y, Z, T ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Y ), Z ) ), alpha42( X, Y, Z, T ) }
% 0.91/1.52 .
% 0.91/1.52 { ! alpha9( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.91/1.52 ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.91/1.52 , alpha9( X, Y, Z ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha9( X, Y, Z ) }.
% 0.91/1.52 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.52 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.91/1.52 X, Z ) ), Y ), alpha43( X, Y, Z, T ) }.
% 0.91/1.52 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.52 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.91/1.52 X, Z ) ), Y ), alpha69( X, Y, Z, T ) }.
% 0.91/1.52 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.52 class_Int_Onumber( X ), ! alpha43( X, Y, Z, T ), ! alpha69( X, Y, Z, T )
% 0.91/1.52 , c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T
% 0.91/1.52 , c_Int_Onumber__class_Onumber__of( X, Z ) ), Y ) }.
% 0.91/1.52 { ! alpha69( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 0.91/1.52 ) ), alpha81( X, Y, Z, T ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha69( X, Y, Z, T ) }.
% 0.91/1.52 { ! alpha81( X, Y, Z, T ), alpha69( X, Y, Z, T ) }.
% 0.91/1.52 { ! alpha81( X, Y, Z, T ), alpha93( X, Y, Z, T ) }.
% 0.91/1.52 { ! alpha81( X, Y, Z, T ), alpha10( X, Y, Z ) }.
% 0.91/1.52 { ! alpha93( X, Y, Z, T ), ! alpha10( X, Y, Z ), alpha81( X, Y, Z, T ) }.
% 0.91/1.52 { ! alpha93( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.91/1.52 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X
% 0.91/1.52 , Y, c_Int_Onumber__class_Onumber__of( X, Z ) ), T ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.91/1.52 ), c_Groups_Ozero__class_Ozero( X ) ), alpha93( X, Y, Z, T ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Z ) ), T ), alpha93( X, Y, Z, T ) }
% 0.91/1.52 .
% 0.91/1.52 { ! alpha43( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 0.91/1.52 ) ), c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes
% 0.91/1.52 ( X, Y, c_Int_Onumber__class_Onumber__of( X, Z ) ) ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha43( X, Y, Z, T ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X,
% 0.91/1.52 Y, c_Int_Onumber__class_Onumber__of( X, Z ) ) ), alpha43( X, Y, Z, T ) }
% 0.91/1.52 .
% 0.91/1.52 { ! alpha10( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.91/1.52 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.91/1.52 , Y ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.91/1.52 Z ), c_Groups_Ozero__class_Ozero( X ) ), alpha10( X, Y, Z ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.91/1.52 , alpha10( X, Y, Z ) }.
% 0.91/1.52 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.91/1.52 ), c_Groups_Ozero__class_Ozero( X ) ), c_Groups_Oabs__class_Oabs( X,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.91/1.52 c_Groups_Ouminus__class_Ouminus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.91/1.52 Y ) ) }.
% 0.91/1.52 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.91/1.52 ), c_Groups_Ozero__class_Ozero( X ) ), c_Groups_Oabs__class_Oabs( X,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.91/1.52 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.52 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.91/1.52 X, Y ) ) ), alpha44( X, Y, Z, T ) }.
% 0.91/1.52 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.52 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.91/1.52 X, Y ) ) ), alpha70( X, Y, Z, T ) }.
% 0.91/1.52 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.52 class_Int_Onumber( X ), ! alpha44( X, Y, Z, T ), ! alpha70( X, Y, Z, T )
% 0.91/1.52 , c_Orderings_Oord__class_Oless__eq( X, T,
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.91/1.52 X, Y ) ) ) }.
% 0.91/1.52 { ! alpha70( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.91/1.52 ) ), alpha82( X, Y, Z, T ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha70( X, Y, Z, T ) }.
% 0.91/1.52 { ! alpha82( X, Y, Z, T ), alpha70( X, Y, Z, T ) }.
% 0.91/1.52 { ! alpha82( X, Y, Z, T ), alpha94( X, Y, Z, T ) }.
% 0.91/1.52 { ! alpha82( X, Y, Z, T ), alpha11( X, Y, T ) }.
% 0.91/1.52 { ! alpha94( X, Y, Z, T ), ! alpha11( X, Y, T ), alpha82( X, Y, Z, T ) }.
% 0.91/1.52 { ! alpha94( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.91/1.52 ) ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, T, c_Int_Onumber__class_Onumber__of( X
% 0.91/1.52 , Y ) ) ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.91/1.52 ), c_Groups_Ozero__class_Ozero( X ) ), alpha94( X, Y, Z, T ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Otimes__class_Otimes
% 0.91/1.52 ( X, T, c_Int_Onumber__class_Onumber__of( X, Y ) ) ), alpha94( X, Y, Z, T
% 0.91/1.52 ) }.
% 0.91/1.52 { ! alpha44( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.91/1.52 ) ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes
% 0.91/1.52 ( X, T, c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha44( X, Y, Z, T ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.91/1.52 , T, c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ), alpha44( X, Y, Z, T
% 0.91/1.52 ) }.
% 0.91/1.52 { ! alpha11( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.91/1.52 ) ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.91/1.52 Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha11( X, Y, Z ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.91/1.52 ) ), alpha11( X, Y, Z ) }.
% 0.91/1.52 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.52 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 0.91/1.52 ( X, Z, Y ) ), alpha45( X, Y, Z, T ) }.
% 0.91/1.52 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.52 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 0.91/1.52 ( X, Z, Y ) ), alpha71( X, Y, Z, T ) }.
% 0.91/1.52 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.52 class_Int_Onumber( X ), ! alpha45( X, Y, Z, T ), ! alpha71( X, Y, Z, T )
% 0.91/1.52 , c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of
% 0.91/1.52 ( X, T ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.91/1.52 { ! alpha71( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), Y ), alpha83( X, Y, Z, T ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.91/1.52 , alpha71( X, Y, Z, T ) }.
% 0.91/1.52 { ! alpha83( X, Y, Z, T ), alpha71( X, Y, Z, T ) }.
% 0.91/1.52 { ! alpha83( X, Y, Z, T ), alpha95( X, Y, Z, T ) }.
% 0.91/1.52 { ! alpha83( X, Y, Z, T ), alpha12( X, Y, T ) }.
% 0.91/1.52 { ! alpha95( X, Y, Z, T ), ! alpha12( X, Y, T ), alpha83( X, Y, Z, T ) }.
% 0.91/1.52 { ! alpha95( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.91/1.52 , Z, c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of(
% 0.91/1.52 X, T ), Y ) ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.91/1.52 alpha95( X, Y, Z, T ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Otimes__class_Otimes
% 0.91/1.52 ( X, c_Int_Onumber__class_Onumber__of( X, T ), Y ) ), alpha95( X, Y, Z, T
% 0.91/1.52 ) }.
% 0.91/1.52 { ! alpha45( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless__eq
% 0.91/1.52 ( X, c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of(
% 0.91/1.52 X, T ), Y ), Z ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.91/1.52 alpha45( X, Y, Z, T ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.91/1.52 , c_Int_Onumber__class_Onumber__of( X, T ), Y ), Z ), alpha45( X, Y, Z, T
% 0.91/1.52 ) }.
% 0.91/1.52 { ! alpha12( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.91/1.52 , c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero(
% 0.91/1.52 X ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.91/1.52 , alpha12( X, Y, Z ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of
% 0.91/1.52 ( X, Z ), c_Groups_Ozero__class_Ozero( X ) ), alpha12( X, Y, Z ) }.
% 0.91/1.52 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.52 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha46( X, Y, Z, T ) }.
% 0.91/1.52 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.52 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha72( X, Y, Z, T ) }.
% 0.91/1.52 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.52 class_Int_Onumber( X ), ! alpha46( X, Y, Z, T ), ! alpha72( X, Y, Z, T )
% 0.91/1.52 , c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide(
% 0.91/1.52 X, T, Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.91/1.52 { ! alpha72( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), Z ), alpha84( X, Y, Z, T ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.91/1.52 , alpha72( X, Y, Z, T ) }.
% 0.91/1.52 { ! alpha84( X, Y, Z, T ), alpha72( X, Y, Z, T ) }.
% 0.91/1.52 { ! alpha84( X, Y, Z, T ), alpha96( X, Y, Z, T ) }.
% 0.91/1.52 { ! alpha84( X, Y, Z, T ), alpha13( X, Y, Z ) }.
% 0.91/1.52 { ! alpha96( X, Y, Z, T ), ! alpha13( X, Y, Z ), alpha84( X, Y, Z, T ) }.
% 0.91/1.52 { ! alpha96( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.91/1.52 , c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 0.91/1.52 Y ), Z ), T ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 0.91/1.52 alpha96( X, Y, Z, T ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.91/1.52 , c_Int_Onumber__class_Onumber__of( X, Y ), Z ), T ), alpha96( X, Y, Z, T
% 0.91/1.52 ) }.
% 0.91/1.52 { ! alpha46( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless__eq
% 0.91/1.52 ( X, T, c_Groups_Otimes__class_Otimes( X,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Y ), Z ) ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.91/1.52 alpha46( X, Y, Z, T ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes
% 0.91/1.52 ( X, c_Int_Onumber__class_Onumber__of( X, Y ), Z ) ), alpha46( X, Y, Z, T
% 0.91/1.52 ) }.
% 0.91/1.52 { ! alpha13( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.91/1.52 , c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.91/1.52 Y ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.91/1.52 , alpha13( X, Y, Z ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.91/1.52 , c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha13( X, Y, Z ) }.
% 0.91/1.52 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.52 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.91/1.52 X, Z ) ), Y ), alpha47( X, Y, Z, T ) }.
% 0.91/1.52 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.52 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.91/1.52 X, Z ) ), Y ), alpha73( X, Y, Z, T ) }.
% 0.91/1.52 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.52 class_Int_Onumber( X ), ! alpha47( X, Y, Z, T ), ! alpha73( X, Y, Z, T )
% 0.91/1.52 , c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide(
% 0.91/1.52 X, T, c_Int_Onumber__class_Onumber__of( X, Z ) ), Y ) }.
% 0.91/1.52 { ! alpha73( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 0.91/1.52 ) ), alpha85( X, Y, Z, T ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha73( X, Y, Z, T ) }.
% 0.91/1.52 { ! alpha85( X, Y, Z, T ), alpha73( X, Y, Z, T ) }.
% 0.91/1.52 { ! alpha85( X, Y, Z, T ), alpha97( X, Y, Z, T ) }.
% 0.91/1.52 { ! alpha85( X, Y, Z, T ), alpha14( X, Y, Z ) }.
% 0.91/1.52 { ! alpha97( X, Y, Z, T ), ! alpha14( X, Y, Z ), alpha85( X, Y, Z, T ) }.
% 0.91/1.52 { ! alpha97( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.91/1.52 ) ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes
% 0.91/1.52 ( X, Y, c_Int_Onumber__class_Onumber__of( X, Z ) ), T ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.91/1.52 ), c_Groups_Ozero__class_Ozero( X ) ), alpha97( X, Y, Z, T ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.91/1.52 , Y, c_Int_Onumber__class_Onumber__of( X, Z ) ), T ), alpha97( X, Y, Z, T
% 0.91/1.52 ) }.
% 0.91/1.52 { ! alpha47( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 0.91/1.52 ) ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, Y, c_Int_Onumber__class_Onumber__of( X
% 0.91/1.52 , Z ) ) ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha47( X, Y, Z, T ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes
% 0.91/1.52 ( X, Y, c_Int_Onumber__class_Onumber__of( X, Z ) ) ), alpha47( X, Y, Z, T
% 0.91/1.52 ) }.
% 0.91/1.52 { ! alpha14( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.91/1.52 ) ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.91/1.52 X ), Y ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.91/1.52 Z ), c_Groups_Ozero__class_Ozero( X ) ), alpha14( X, Y, Z ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.91/1.52 , Y ), alpha14( X, Y, Z ) }.
% 0.91/1.52 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.52 class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.91/1.52 ) ) ) ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero
% 0.91/1.52 ( X ), Y ) }.
% 0.91/1.52 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.52 class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.91/1.52 ) ) ) ) ) }.
% 0.91/1.52 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.52 class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.91/1.52 ) ) ) ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), ! Y = X }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), Y = X,
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), Y = X }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.91/1.52 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, Y ),
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, X ) ) }.
% 0.91/1.52 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, Y ), X ) =
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.91/1.52 { c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 0.91/1.52 , Y, X ) ) = c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.91/1.52 c_RealDef_Oreal( tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }
% 0.91/1.52 .
% 0.91/1.52 { c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, c_RealDef_Oreal( tc_Nat_Onat
% 0.91/1.52 , X ) ) = c_RealDef_Oreal( tc_Nat_Onat, X ) }.
% 0.91/1.52 { ! class_Rings_Oring( X ), c_Groups_Ominus__class_Ominus( X,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.91/1.52 X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, U, c_Groups_Ominus__class_Ominus( X, T
% 0.91/1.52 , Y ) ), c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus
% 0.91/1.52 ( X, U, Z ), Y ) ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ) ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) }.
% 0.91/1.52 { c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y
% 0.91/1.52 , X ) ) = c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal
% 0.91/1.52 ( tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ), X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ), Y ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ), X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ), Y ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ), X ) }.
% 0.91/1.52 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ) =
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y,
% 0.91/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) }.
% 0.91/1.52 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ) =
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y,
% 0.91/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) }.
% 0.91/1.52 { c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus
% 0.91/1.52 ( tc_RealDef_Oreal, Y, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal
% 0.91/1.52 , X ) ) ) = c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X,
% 0.91/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ) ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus
% 0.91/1.52 ( tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, T, Z )
% 0.91/1.52 , c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ),
% 0.91/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) ) ),
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs
% 0.91/1.52 ( tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, T,
% 0.91/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ) ),
% 0.91/1.52 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus
% 0.91/1.52 ( tc_RealDef_Oreal, Z, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal
% 0.91/1.52 , X ) ) ) ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y,
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.91/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol10 ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ) ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ),
% 0.91/1.52 skol10 ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 0.91/1.52 tc_Complex_Ocomplex, v_p, X ), c_Polynomial_Opoly( tc_Complex_Ocomplex,
% 0.91/1.52 v_p, v_z____ ) ) ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.52 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.91/1.52 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Int_Onumber__class_Onumber__of(
% 0.91/1.52 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.91/1.52 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.91/1.52 v_N1____, v_N2____ ) ) ) ), c_Rings_Oinverse__class_Odivide(
% 0.91/1.52 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.52 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.91/1.52 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Int_Onumber__class_Onumber__of(
% 0.91/1.52 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.52 ( tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ),
% 0.91/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) ),
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.91/1.52 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.91/1.52 v_N1____, v_N2____ ) ) ) ) ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.52 ( tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ),
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.91/1.52 tc_Nat_Onat, c_Nat_OSuc( hAPP( v_f____, c_Groups_Oplus__class_Oplus(
% 0.91/1.52 tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ) ) ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.52 ( tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ),
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.91/1.52 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.91/1.52 v_N1____, v_N2____ ) ) ) ) ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.91/1.52 c_Int_OBit1( c_Int_OPls ) ) ), c_Groups_Oabs__class_Oabs(
% 0.91/1.52 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.52 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.91/1.52 ( tc_RealDef_Oreal, v_s____ ) ) ) ), c_RealDef_Oreal( tc_Nat_Onat,
% 0.91/1.52 c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____
% 0.91/1.52 ) ) ) ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.91/1.52 c_Int_OBit1( c_Int_OPls ) ) ), c_Groups_Oabs__class_Oabs(
% 0.91/1.52 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.52 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.91/1.52 ( tc_RealDef_Oreal, v_s____ ) ) ) ) ), c_Orderings_Oord__class_Oless(
% 0.91/1.52 tc_RealDef_Oreal, c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal,
% 0.91/1.52 c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( c_Groups_Oplus__class_Oplus(
% 0.91/1.52 tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ), c_Rings_Oinverse__class_Oinverse
% 0.91/1.52 ( tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.91/1.52 c_Int_OBit1( c_Int_OPls ) ) ), c_Groups_Oabs__class_Oabs(
% 0.91/1.52 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.52 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.91/1.52 ( tc_RealDef_Oreal, v_s____ ) ) ) ) ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, skol11, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, v_g____( hAPP(
% 0.91/1.52 v_f____, X ) ), v_z____ ) ), v_d____ ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.91/1.52 tc_Nat_Onat, c_Nat_OSuc( hAPP( v_f____, c_Groups_Oplus__class_Oplus(
% 0.91/1.52 tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ) ), c_Groups_Oplus__class_Oplus
% 0.91/1.52 ( tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.91/1.52 v_s____ ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.91/1.52 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.91/1.52 v_N1____, v_N2____ ) ) ) ) ) ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), v_r ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ), v_r ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.52 ( tc_Complex_Ocomplex, v_p, skol12 ) ), c_RealVector_Onorm__class_Onorm(
% 0.91/1.52 tc_Complex_Ocomplex, c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, X ) )
% 0.91/1.52 ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.91/1.52 tc_Nat_Onat, c_Nat_OSuc( hAPP( v_f____, c_Groups_Oplus__class_Oplus(
% 0.91/1.52 tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ),
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.91/1.52 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.91/1.52 v_N1____, v_N2____ ) ) ) ) ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_Groups_Oone__class_Oone
% 0.91/1.52 ( tc_RealDef_Oreal ) ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.91/1.52 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Complex_Ocomplex ) ), v_r ) }.
% 0.91/1.52 { c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.52 ( tc_Complex_Ocomplex, v_p, c_Groups_Ozero__class_Ozero(
% 0.91/1.52 tc_Complex_Ocomplex ) ) ) = c_Groups_Ouminus__class_Ouminus(
% 0.91/1.52 tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.52 ( tc_Complex_Ocomplex, v_p, c_Groups_Ozero__class_Ozero(
% 0.91/1.52 tc_Complex_Ocomplex ) ) ) ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ), v_r ), !
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.52 ( tc_Complex_Ocomplex, v_p, X ) ) = c_Groups_Ouminus__class_Ouminus(
% 0.91/1.52 tc_RealDef_Oreal, Y ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y
% 0.91/1.52 , c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.91/1.52 { c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) = X }.
% 0.91/1.52 { ! class_Int_Onumber( X ), ! class_Rings_Odivision__ring( X ),
% 0.91/1.52 c_Rings_Oinverse__class_Oinverse( X, c_Int_Onumber__class_Onumber__of( X
% 0.91/1.52 , Y ) ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone(
% 0.91/1.52 X ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.91/1.52 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.91/1.52 c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, X ), X ) =
% 0.91/1.52 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.91/1.52 { c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.91/1.52 tc_Nat_Onat ) ) ) = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.91/1.52 { c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.91/1.52 { ! c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) =
% 0.91/1.52 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.91/1.52 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) = X }.
% 0.91/1.52 { c_Groups_Ozero__class_Ozero( tc_Int_Oint ) =
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OPls ) }.
% 0.91/1.52 { c_Int_OPls = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.91/1.52 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Ozero__class_Ozero
% 0.91/1.52 ( tc_Int_Oint ) ) = X }.
% 0.91/1.52 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.91/1.52 tc_Int_Oint ), X ) = X }.
% 0.91/1.52 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.91/1.52 ( tc_Int_Oint ) ) = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.91/1.52 { c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) =
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y,
% 0.91/1.52 c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, X ) ) }.
% 0.91/1.52 { c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) =
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y,
% 0.91/1.52 c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, X ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ),
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ),
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ),
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ),
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.91/1.52 { ! c_RealDef_Oreal( tc_Nat_Onat, X ) = c_Groups_Ozero__class_Ozero(
% 0.91/1.52 tc_RealDef_Oreal ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.91/1.52 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_RealDef_Oreal(
% 0.91/1.52 tc_Nat_Onat, X ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.91/1.52 { c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.91/1.52 ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.91/1.52 tc_Int_Oint ), Z ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), c_Groups_Oabs__class_Oabs(
% 0.91/1.52 tc_Int_Oint, X ) = c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), c_Groups_Oabs__class_Oabs(
% 0.91/1.52 tc_Int_Oint, X ) = X }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ominus__class_Ominus
% 0.91/1.52 ( tc_Int_Oint, Y, X ), c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ),
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.91/1.52 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Ouminus__class_Ouminus
% 0.91/1.52 ( tc_Int_Oint, X ), X ) = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.91/1.52 { ! class_Fields_Ofield( X ), ! class_Int_Onumber__ring( X ),
% 0.91/1.52 c_Rings_Oinverse__class_Oinverse( X, c_Int_Onumber__class_Onumber__of( X
% 0.91/1.52 , c_Int_OBit1( c_Int_OPls ) ) ) = c_Int_Onumber__class_Onumber__of( X,
% 0.91/1.52 c_Int_OBit1( c_Int_OPls ) ) }.
% 0.91/1.52 { ! class_Rings_Oring__1( X ), c_Groups_Ominus__class_Ominus( X,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, Y, Y ), c_Groups_Oone__class_Oone( X )
% 0.91/1.52 ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.91/1.52 , c_Groups_Oone__class_Oone( X ) ), c_Groups_Ominus__class_Ominus( X, Y,
% 0.91/1.52 c_Groups_Oone__class_Oone( X ) ) ) }.
% 0.91/1.52 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.91/1.52 c_Int_OBit1( Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.91/1.52 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.91/1.52 c_Int_OBit1( c_Int_OPls ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.91/1.52 tc_Nat_Onat, Y ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.91/1.52 c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.91/1.52 tc_Nat_Onat, Y ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.91/1.52 c_RealDef_Oreal( tc_Nat_Onat, X ) ), c_Orderings_Oord__class_Oless(
% 0.91/1.52 tc_Nat_Onat, Y, X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.91/1.52 tc_Nat_Onat, Y ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.91/1.52 c_RealDef_Oreal( tc_Nat_Onat, X ), c_Groups_Oone__class_Oone(
% 0.91/1.52 tc_RealDef_Oreal ) ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.91/1.52 tc_Nat_Onat, Y ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.91/1.52 c_RealDef_Oreal( tc_Nat_Onat, X ), c_Groups_Oone__class_Oone(
% 0.91/1.52 tc_RealDef_Oreal ) ) ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 0.91/1.52 , X ) }.
% 0.91/1.52 { c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( X ) ) =
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.91/1.52 tc_Nat_Onat, X ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs
% 0.91/1.52 ( tc_RealDef_Oreal, X ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) )
% 0.91/1.52 , X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.91/1.52 tc_Nat_Onat, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), X =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.91/1.52 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.91/1.52 tc_Nat_Onat, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.91/1.52 tc_Nat_Onat, X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.91/1.52 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.91/1.52 tc_Nat_Onat, X ) ) }.
% 0.91/1.52 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.91/1.52 , Z = c_Groups_Ozero__class_Ozero( X ), c_Groups_Ominus__class_Ominus( X
% 0.91/1.52 , c_Rings_Oinverse__class_Oinverse( X, Y ),
% 0.91/1.52 c_Rings_Oinverse__class_Oinverse( X, Z ) ) =
% 0.91/1.52 c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes( X,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.91/1.52 ), c_Groups_Ominus__class_Ominus( X, Y, Z ) ),
% 0.91/1.52 c_Rings_Oinverse__class_Oinverse( X, Z ) ) ) }.
% 0.91/1.52 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.91/1.52 c_Groups_Oone__class_Oone( X ) ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.91/1.52 ) ) = c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( Y ) ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oone__class_Oone
% 0.91/1.52 ( tc_RealDef_Oreal ), c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) )
% 0.91/1.52 ) }.
% 0.91/1.52 { ! class_RealVector_Oreal__normed__field( X ), Y =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X,
% 0.91/1.52 c_Rings_Oinverse__class_Oinverse( X, Y ),
% 0.91/1.52 c_Rings_Oinverse__class_Oinverse( X, Z ) ), T ) =
% 0.91/1.52 c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes( X,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.91/1.52 ), c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X
% 0.91/1.52 , Y, Z ), T ) ), c_Rings_Oinverse__class_Oinverse( X, Z ) ) ) }.
% 0.91/1.52 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.91/1.52 , Y ), c_Groups_Oone__class_Oone( X ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OBit1(
% 0.91/1.52 c_Int_OPls ) ) }.
% 0.91/1.52 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OBit1(
% 0.91/1.52 c_Int_OPls ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Oone__class_Oone( X )
% 0.91/1.52 ) }.
% 0.91/1.52 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 0.91/1.52 , Y ) }.
% 0.91/1.52 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 0.91/1.52 , Y ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X
% 0.91/1.52 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.91/1.52 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.91/1.52 c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ) =
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.91/1.52 ) ) ) }.
% 0.91/1.52 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.91/1.52 ), c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless(
% 0.91/1.52 tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls ) ) }.
% 0.91/1.52 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls )
% 0.91/1.52 ), c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X
% 0.91/1.52 , Y ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.91/1.52 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.91/1.52 ( tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y ) }.
% 0.91/1.52 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y
% 0.91/1.52 ), c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.91/1.52 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Oone__class_Oone( X )
% 0.91/1.52 ) = c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.91/1.52 tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls ) ) ) }.
% 0.91/1.52 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.91/1.52 c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X, Y )
% 0.91/1.52 ) = c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.91/1.52 tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y ) ) }.
% 0.91/1.52 { ! class_Int_Onumber__ring( X ), c_Groups_Ominus__class_Ominus( X,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Oone__class_Oone( X )
% 0.91/1.52 ) = c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.91/1.52 tc_Int_Oint, Y, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OBit1
% 0.91/1.52 ( c_Int_OPls ) ) ) ) }.
% 0.91/1.52 { ! class_Int_Onumber__ring( X ), c_Groups_Ominus__class_Ominus( X,
% 0.91/1.52 c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X, Y )
% 0.91/1.52 ) = c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.91/1.52 tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), c_Groups_Ouminus__class_Ouminus(
% 0.91/1.52 tc_Int_Oint, Y ) ) ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol13( Y ) ), v_r
% 0.91/1.52 ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.52 ( tc_Complex_Ocomplex, v_p, skol13( X ) ) ), c_Groups_Oplus__class_Oplus
% 0.91/1.52 ( tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.91/1.52 v_s____ ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.91/1.52 tc_Nat_Onat, c_Nat_OSuc( X ) ) ) ) ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP( skol14, X ) )
% 0.91/1.52 , v_r ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.52 ( tc_Complex_Ocomplex, v_p, hAPP( skol14, X ) ) ),
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.91/1.52 tc_Nat_Onat, c_Nat_OSuc( X ) ) ) ) ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol15( Y ) ), v_r
% 0.91/1.52 ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.52 ( tc_Complex_Ocomplex, v_p, skol15( X ) ) ), c_Groups_Oplus__class_Oplus
% 0.91/1.52 ( tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.91/1.52 v_s____ ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.91/1.52 tc_Nat_Onat, c_Nat_OSuc( X ) ) ) ) ) }.
% 0.91/1.52 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.52 class_Int_Onumber__ring( X ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.91/1.52 c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.91/1.52 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.91/1.52 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.91/1.52 tc_Nat_Onat, X ), c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 0.91/1.52 c_Int_OBit0( c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) =
% 0.91/1.52 c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 0.91/1.52 , c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit0
% 0.91/1.52 ( c_Int_OBit1( c_Int_OPls ) ) ) ), X ) ) }.
% 0.91/1.52 { ! class_RealVector_Oreal__normed__div__algebra( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z,
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( X, Y ) ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Z ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( X, c_Rings_Oinverse__class_Oinverse( X,
% 0.91/1.52 Y ) ), c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, Z ) ) }.
% 0.91/1.52 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Z ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol16( X, Y, Z ) ) ), Z ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, T ) ), c_RealDef_Oreal(
% 0.91/1.52 tc_Nat_Onat, c_Nat_OSuc( skol29( X, Y ) ) ) ) }.
% 0.91/1.52 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol32( X, Y, Z ) ) ),
% 0.91/1.52 c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( Z ) ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol34( T, U ) ) }.
% 0.91/1.52 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol32( X, Y, Z ) ) ),
% 0.91/1.52 c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( Z ) ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, T ) ), skol34( X, Y ) ) }.
% 0.91/1.52 { ! c_Groups_Ozero__class_Ozero( tc_Int_Oint ) = c_Groups_Oone__class_Oone
% 0.91/1.52 ( tc_Int_Oint ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.91/1.52 tc_Int_Oint ), c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oabs__class_Oabs(
% 0.91/1.52 tc_Int_Oint, X ), c_Groups_Oone__class_Oone( tc_Int_Oint ) ), X =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.91/1.52 { ! X = c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oabs__class_Oabs(
% 0.91/1.52 tc_Int_Oint, X ), c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 0.91/1.52 { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.91/1.52 tc_Int_Oint, c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ) =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.91/1.52 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Oone__class_Oone(
% 0.91/1.52 tc_Int_Oint ), X ) = X }.
% 0.91/1.52 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, c_Groups_Oone__class_Oone
% 0.91/1.52 ( tc_Int_Oint ) ) = X }.
% 0.91/1.52 { ! c_Groups_Oabs__class_Oabs( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 0.91/1.52 tc_Int_Oint, X, Y ) ) = c_Groups_Oone__class_Oone( tc_Int_Oint ),
% 0.91/1.52 c_Groups_Oabs__class_Oabs( tc_Int_Oint, X ) = c_Groups_Oone__class_Oone(
% 0.91/1.52 tc_Int_Oint ) }.
% 0.91/1.52 { c_Int_OBit1( X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oone__class_Oone(
% 0.91/1.52 tc_Int_Oint ), X ), X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.91/1.52 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.91/1.52 tc_Int_Oint ), X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.91/1.52 ( tc_Int_Oint ), X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.91/1.52 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.91/1.52 tc_Int_Oint ) ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), Y
% 0.91/1.52 = X }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.91/1.52 tc_Int_Oint ) ) ) }.
% 0.91/1.52 { ! Y = X, c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.91/1.52 tc_Int_Oint ) ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus
% 0.91/1.52 ( tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.91/1.52 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ),
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.91/1.52 tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.91/1.52 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ),
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.91/1.52 ( tc_Int_Oint ), X ), ! c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y
% 0.91/1.52 ) = c_Groups_Oone__class_Oone( tc_Int_Oint ), X =
% 0.91/1.52 c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.91/1.52 ( tc_Int_Oint ), X ), ! c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y
% 0.91/1.52 ) = c_Groups_Oone__class_Oone( tc_Int_Oint ), Y =
% 0.91/1.52 c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.91/1.52 ( tc_Int_Oint ), X ), ! X = c_Groups_Oone__class_Oone( tc_Int_Oint ), ! Y
% 0.91/1.52 = c_Groups_Oone__class_Oone( tc_Int_Oint ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y ) =
% 0.91/1.52 c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.91/1.52 { c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Oone__class_Oone( tc_Nat_Onat ) )
% 0.91/1.52 = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.91/1.52 { c_Groups_Oone__class_Oone( tc_Int_Oint ) =
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 0.91/1.52 ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.91/1.52 tc_Int_Oint ) ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X )
% 0.91/1.52 }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.91/1.52 tc_Int_Oint ) ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.91/1.52 tc_Int_Oint ) ), X ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X )
% 0.91/1.52 }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.91/1.52 tc_Int_Oint ) ), X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.91/1.52 tc_Int_Oint ) ), X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.91/1.52 tc_Int_Oint ), c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.91/1.52 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Int_Oint, X, c_Groups_Oone__class_Oone
% 0.91/1.52 ( tc_Int_Oint ) ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.91/1.52 .
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Int_Oint, X, c_Groups_Oone__class_Oone
% 0.91/1.52 ( tc_Int_Oint ) ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), X =
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol17( X, Y ) ) }.
% 0.91/1.52 { ! X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.91/1.52 { ! c_SEQ_Osubseq( X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z
% 0.91/1.52 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X, Y ), hAPP( X, Z
% 0.91/1.52 ) ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, skol18( X ), skol30( X ) ),
% 0.91/1.52 c_SEQ_Osubseq( X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X, skol18( X ) ),
% 0.91/1.52 hAPP( X, skol30( X ) ) ), c_SEQ_Osubseq( X ) }.
% 0.91/1.52 { ! c_SEQ_Osubseq( X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.91/1.52 hAPP( X, Y ) ) }.
% 0.91/1.52 { ! c_SEQ_Osubseq( X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X
% 0.91/1.52 , Y ), hAPP( X, c_Nat_OSuc( Y ) ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X, skol19( X ) ),
% 0.91/1.52 hAPP( X, c_Nat_OSuc( skol19( X ) ) ) ), c_SEQ_Osubseq( X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X,
% 0.91/1.52 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Z ) ) ), Y =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, T ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.91/1.52 c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, X ), T ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.91/1.52 c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, Y ), Z ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, T ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, T,
% 0.91/1.52 c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, X ) ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z,
% 0.91/1.52 c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, Y ) ) ) }.
% 0.91/1.52 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( X, Z ), c_Groups_Otimes__class_Otimes(
% 0.91/1.52 tc_RealDef_Oreal, Y, c_RealVector_Onorm__class_Onorm( X, T ) ) ), Z =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ) }.
% 0.91/1.52 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Z ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol20( X, Y, Z ) ) ), Z ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, T ) ), c_RealDef_Oreal(
% 0.91/1.52 tc_Nat_Onat, c_Nat_OSuc( skol31( X, Y ) ) ) ) }.
% 0.91/1.52 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol33( X, Y, Z ) ) ),
% 0.91/1.52 c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( Z ) ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol35( T, U ) ) }.
% 0.91/1.52 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol33( X, Y, Z ) ) ),
% 0.91/1.52 c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( Z ) ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, T ) ), skol35( X, Y ) ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.91/1.52 tc_Nat_Onat ), c_Nat_OSuc( X ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( c_Int_OBit1(
% 0.91/1.52 c_Int_OPls ) ) ) ), X = c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X =
% 0.91/1.52 c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.91/1.52 c_Int_OPls ) ) ) ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X =
% 0.91/1.52 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.91/1.52 ( tc_Int_Oint ), X ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Z,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.91/1.52 tc_Int_Oint, c_Groups_Oabs__class_Oabs( tc_Int_Oint,
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, Z ) ),
% 0.91/1.52 c_Groups_Oone__class_Oone( tc_Int_Oint ) ), X ) ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.91/1.52 ( tc_Int_Oint ), X ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Z,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.91/1.52 tc_Int_Oint, c_Groups_Oabs__class_Oabs( tc_Int_Oint,
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Z, Y ) ),
% 0.91/1.52 c_Groups_Oone__class_Oone( tc_Int_Oint ) ), X ) ), Y ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc(
% 0.91/1.52 X ) ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( X ) ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.91/1.52 { ! X = c_Nat_OSuc( X ) }.
% 0.91/1.52 { ! c_Nat_OSuc( X ) = X }.
% 0.91/1.52 { ! c_Nat_OSuc( Y ) = c_Nat_OSuc( X ), Y = X }.
% 0.91/1.52 { ! Y = X, c_Nat_OSuc( Y ) = c_Nat_OSuc( X ) }.
% 0.91/1.52 { ! c_Nat_OSuc( Y ) = c_Nat_OSuc( X ), Y = X }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, X ) }.
% 0.91/1.52 { Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ), ! Y = X }.
% 0.91/1.52 { Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! X = Y }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.91/1.52 { alpha102( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z ),
% 0.91/1.52 hBOOL( hAPP( hAPP( X, Y ), Z ) ) }.
% 0.91/1.52 { alpha102( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP(
% 0.91/1.52 hAPP( X, Y ), Z ) ) }.
% 0.91/1.52 { ! alpha102( X, Y, Z ), alpha104( X, Y, Z ), Z = Y }.
% 0.91/1.52 { ! alpha102( X, Y, Z ), alpha104( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ),
% 0.91/1.52 Z ) ) }.
% 0.91/1.52 { ! alpha104( X, Y, Z ), alpha102( X, Y, Z ) }.
% 0.91/1.52 { ! Z = Y, hBOOL( hAPP( hAPP( X, Y ), Z ) ), alpha102( X, Y, Z ) }.
% 0.91/1.52 { ! alpha104( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y )
% 0.91/1.52 }.
% 0.91/1.52 { ! alpha104( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ), hBOOL( hAPP( hAPP(
% 0.91/1.52 X, Y ), Z ) ), alpha104( X, Y, Z ) }.
% 0.91/1.52 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ), Z = X }.
% 0.91/1.52 { ! Z = X, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) }.
% 0.91/1.52 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ), Y = X }.
% 0.91/1.52 { ! Y = X, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) }.
% 0.91/1.52 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.91/1.52 tc_Nat_Onat, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.91/1.52 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, c_Groups_Oplus__class_Oplus
% 0.91/1.52 ( tc_Nat_Onat, Y, X ) ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.91/1.52 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Y ), Y = X }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ) }.
% 0.91/1.52 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Y ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, X ) }.
% 0.91/1.52 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 0.91/1.52 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 0.91/1.52 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.91/1.52 Z, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.91/1.52 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.91/1.52 c_Groups_Oone__class_Oone( tc_Nat_Onat ), Y = c_Groups_Oone__class_Oone(
% 0.91/1.52 tc_Nat_Onat ) }.
% 0.91/1.52 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.91/1.52 c_Groups_Oone__class_Oone( tc_Nat_Onat ), X = c_Groups_Oone__class_Oone(
% 0.91/1.52 tc_Nat_Onat ) }.
% 0.91/1.52 { ! Y = c_Groups_Oone__class_Oone( tc_Nat_Onat ), ! X =
% 0.91/1.52 c_Groups_Oone__class_Oone( tc_Nat_Onat ), c_Groups_Otimes__class_Otimes(
% 0.91/1.52 tc_Nat_Onat, Y, X ) = c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.91/1.52 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, c_Groups_Oone__class_Oone
% 0.91/1.52 ( tc_Nat_Onat ) ) = X }.
% 0.91/1.52 { ! c_Groups_Oone__class_Oone( tc_Nat_Onat ) =
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ), Y =
% 0.91/1.52 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.91/1.52 { ! c_Groups_Oone__class_Oone( tc_Nat_Onat ) =
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ), X =
% 0.91/1.52 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.91/1.52 { ! Y = c_Groups_Oone__class_Oone( tc_Nat_Onat ), ! X =
% 0.91/1.52 c_Groups_Oone__class_Oone( tc_Nat_Onat ), c_Groups_Oone__class_Oone(
% 0.91/1.52 tc_Nat_Onat ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) }.
% 0.91/1.52 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Oone__class_Oone(
% 0.91/1.52 tc_Nat_Onat ), X ) = X }.
% 0.91/1.52 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.91/1.52 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ), Y ) }.
% 0.91/1.52 { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) = c_Nat_OSuc( X ) }.
% 0.91/1.52 { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) = c_Nat_OSuc( X ) }.
% 0.91/1.52 { ! c_Nat_OSuc( X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.91/1.52 { ! c_Nat_OSuc( X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.91/1.52 { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) = c_Nat_OSuc( X ) }.
% 0.91/1.52 { ! c_Nat_OSuc( X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.91/1.52 { c_Groups_Oone__class_Oone( tc_Nat_Onat ) = c_Nat_OSuc(
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.91/1.52 { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.91/1.52 tc_Nat_Onat ), X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.91/1.52 ( tc_Nat_Onat ), X ), ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }
% 0.91/1.52 .
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! X =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.91/1.52 { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.91/1.52 tc_Nat_Onat ), X ) }.
% 0.91/1.52 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = Y, X =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.91/1.52 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.91/1.52 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.91/1.52 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), ! X =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.91/1.52 tc_Nat_Onat, Y, X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.91/1.52 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, c_Groups_Ozero__class_Ozero
% 0.91/1.52 ( tc_Nat_Onat ) ) = X }.
% 0.91/1.52 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.91/1.52 tc_Nat_Onat ), X ) = X }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc
% 0.91/1.52 ( X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), Y = X }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), Z ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), c_Nat_OSuc( Y ) = X
% 0.91/1.52 , c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ), X = Y }
% 0.91/1.52 .
% 0.91/1.52 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ), Y = X }
% 0.91/1.52 .
% 0.91/1.52 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X,
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc
% 0.91/1.52 ( X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc(
% 0.91/1.52 X ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), Y = X }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.91/1.52 { ! Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) )
% 0.91/1.52 }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.91/1.52 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.91/1.52 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) =
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.91/1.52 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) =
% 0.91/1.52 c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.91/1.52 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) =
% 0.91/1.52 c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.91/1.52 { c_Nat_OSuc( X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.91/1.52 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) }.
% 0.91/1.52 { c_Nat_OSuc( X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Oone__class_Oone( tc_Nat_Onat ), X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( X ), X ) }
% 0.91/1.52 .
% 0.91/1.52 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( X ), Y ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( X ), Y ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = c_Nat_OSuc( X
% 0.91/1.52 ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.91/1.52 { ! Y = c_Nat_OSuc( X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 0.91/1.52 , c_Nat_OSuc( X ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ),
% 0.91/1.52 c_Nat_OSuc( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X )
% 0.91/1.52 }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ),
% 0.91/1.52 c_Nat_OSuc( X ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = c_Nat_OSuc( X
% 0.91/1.52 ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.91/1.52 ( tc_Nat_Onat, Y, Z ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y
% 0.91/1.52 , X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, T, X ) =
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.91/1.52 tc_Nat_Onat, Y, T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }
% 0.91/1.52 .
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.91/1.52 tc_Nat_Onat, Y, Z ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }
% 0.91/1.52 .
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.91/1.52 ( tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) )
% 0.91/1.52 , c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.91/1.52 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }
% 0.91/1.52 .
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.91/1.52 ( tc_Nat_Onat, Y, X ), X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.91/1.52 ( tc_Nat_Onat, Y, X ), Y ) }.
% 0.91/1.52 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.91/1.52 tc_Nat_Onat ), X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.91/1.52 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.91/1.52 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.91/1.52 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.91/1.52 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.91/1.52 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ), Y = X, Z =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.91/1.52 { ! Y = X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 0.91/1.52 { ! Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 0.91/1.52 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ), Z = X, Y =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.91/1.52 { ! Z = X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 0.91/1.52 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 0.91/1.52 { ! Y = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ), X =
% 0.91/1.52 c_Groups_Oone__class_Oone( tc_Nat_Onat ), Y = c_Groups_Ozero__class_Ozero
% 0.91/1.52 ( tc_Nat_Onat ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = X,
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), Y = X }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.91/1.52 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = X,
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.91/1.52 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.91/1.52 { ! c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), !
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y = X }.
% 0.91/1.52 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, X ) =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.91/1.52 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) = X }.
% 0.91/1.52 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.91/1.52 tc_Nat_Onat ), X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.91/1.52 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ) =
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), X ), Y = X }
% 0.91/1.52 .
% 0.91/1.52 { ! Y = X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), Y )
% 0.91/1.52 = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ), X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, T ),
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), X =
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol21( X, Y ) ) }.
% 0.91/1.52 { ! X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) }.
% 0.91/1.52 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc(
% 0.91/1.52 X ) ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) }.
% 0.91/1.52 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.91/1.52 ( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ), c_Nat_OSuc( X ) ) =
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.91/1.52 ( tc_Nat_Onat, Z, Y ), X ) }.
% 0.91/1.52 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) =
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.91/1.52 ( tc_Nat_Onat, Y, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ), X ) }.
% 0.91/1.52 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( X ),
% 0.91/1.52 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) = X }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.91/1.52 ( tc_Nat_Onat, Y, Z ), X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.91/1.52 ( tc_Nat_Onat, Z, X ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.91/1.52 ) }.
% 0.91/1.52 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.91/1.52 tc_Nat_Onat, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.91/1.52 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) =
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.91/1.52 tc_Nat_Onat, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) )
% 0.91/1.52 }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, X ) ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, X ) ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, Z ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, T ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ) ) }.
% 0.91/1.52 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.91/1.52 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) =
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ) }.
% 0.91/1.52 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.91/1.52 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) =
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) }.
% 0.91/1.52 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.91/1.52 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.91/1.52 Z, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.91/1.52 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.91/1.52 tc_Nat_Onat, Y, X ), Y ) = X }.
% 0.91/1.52 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.91/1.52 tc_Nat_Onat, Y, X ), X ) = Y }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ),
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ),
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ),
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.91/1.52 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.91/1.52 ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X = Z }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), ! X = Z,
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) = Y }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, Z ),
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ),
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ), Y ) }.
% 0.91/1.52 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z,
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) =
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 0.91/1.52 ( tc_Nat_Onat, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X )
% 0.91/1.52 ) }.
% 0.91/1.52 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.91/1.52 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.91/1.52 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z )
% 0.91/1.52 , c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.91/1.52 .
% 0.91/1.52 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.91/1.52 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z )
% 0.91/1.52 , c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.91/1.52 .
% 0.91/1.52 { ! class_Rings_Olinordered__ring__strict( X ), ! Z =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.91/1.52 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z
% 0.91/1.52 ), c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ) }.
% 0.91/1.52 { ! class_Int_Onumber__ring( X ), c_Groups_Ozero__class_Ozero( X ) =
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( c_Nat_OSuc(
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) ), X =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X = c_Nat_OSuc(
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ), Y =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha15( X, Y ) }.
% 0.91/1.52 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.91/1.52 { ! alpha15( X, Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.91/1.52 c_Nat_OSuc( X ) ) }.
% 0.91/1.52 { ! alpha15( X, Y ), Y = c_Nat_OSuc( skol22( Z, Y ) ) }.
% 0.91/1.52 { ! alpha15( X, Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, skol22( X
% 0.91/1.52 , Y ), X ) }.
% 0.91/1.52 { ! Y = c_Nat_OSuc( Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X
% 0.91/1.52 ), alpha15( X, Y ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc(
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), X =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.91/1.52 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc(
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.91/1.52 ( tc_Nat_Onat ), X ), X = c_Nat_OSuc( skol23( X ) ) }.
% 0.91/1.52 { ! X = c_Nat_OSuc( Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.91/1.52 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), alpha16( X, Y ), alpha48( X
% 0.91/1.52 , Y ) }.
% 0.91/1.52 { ! alpha16( X, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.91/1.52 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.91/1.52 { ! alpha48( X, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.91/1.52 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.91/1.52 { ! alpha48( X, Y ), Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.91/1.52 { ! alpha48( X, Y ), X = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.91/1.52 tc_Nat_Onat ) ) }.
% 0.91/1.52 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), ! X = c_Nat_OSuc(
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), alpha48( X, Y ) }.
% 0.91/1.52 { ! alpha16( X, Y ), Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.91/1.52 tc_Nat_Onat ) ) }.
% 0.91/1.52 { ! alpha16( X, Y ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.91/1.52 { ! Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), ! X =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha16( X, Y ) }.
% 0.91/1.52 { ! c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ), alpha17( X, Y ),
% 0.91/1.52 alpha49( X, Y ) }.
% 0.91/1.52 { ! alpha17( X, Y ), c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.91/1.52 ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) }.
% 0.91/1.52 { ! alpha49( X, Y ), c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.91/1.52 ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) }.
% 0.91/1.52 { ! alpha49( X, Y ), Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.91/1.52 { ! alpha49( X, Y ), X = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.91/1.52 tc_Nat_Onat ) ) }.
% 0.91/1.52 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), ! X = c_Nat_OSuc(
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), alpha49( X, Y ) }.
% 0.91/1.52 { ! alpha17( X, Y ), Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.91/1.52 tc_Nat_Onat ) ) }.
% 0.91/1.52 { ! alpha17( X, Y ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.91/1.52 { ! Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), ! X =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha17( X, Y ) }.
% 0.91/1.52 { c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) =
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OPls ) }.
% 0.91/1.52 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OPls ) =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.91/1.52 ( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.91/1.52 tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.91/1.52 ( tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.91/1.52 tc_Nat_Onat, Y, X ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.91/1.52 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.91/1.52 tc_Nat_Onat, Y, X ) ) }.
% 0.91/1.52 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 0.91/1.52 ) = c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.91/1.52 { c_Groups_Oone__class_Oone( tc_Nat_Onat ) =
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 0.91/1.52 ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), X = c_Nat_OSuc(
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol24( X, Y ) ) ) }.
% 0.91/1.52 { ! X = c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc(
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc(
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) ) }.
% 0.91/1.52 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y = c_Nat_OSuc(
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.91/1.52 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X = c_Nat_OSuc(
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.91/1.52 { ! Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), ! X =
% 0.91/1.52 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ), X = Y }
% 0.91/1.52 .
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), ! X = Y,
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.91/1.52 ( tc_Nat_Onat ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.91/1.52 tc_Nat_Onat ), Y ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.91/1.52 ( tc_Nat_Onat ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.91/1.52 tc_Nat_Onat ), X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.91/1.52 ( tc_Nat_Onat ), Y ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.91/1.52 tc_Nat_Onat ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.91/1.52 tc_Nat_Onat ), Z ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.91/1.52 ( tc_Nat_Onat ), Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X
% 0.91/1.52 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.91/1.52 tc_Nat_Onat ), Y ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.91/1.52 ( tc_Nat_Onat ), Y ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X
% 0.91/1.52 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.91/1.52 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, Z ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.91/1.52 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.91/1.52 ( tc_Nat_Onat ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.91/1.52 tc_Nat_Onat ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.91/1.52 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.91/1.52 ( tc_Nat_Onat, Y, X ), Y ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), X ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 0.91/1.52 ( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ), c_Groups_Otimes__class_Otimes(
% 0.91/1.52 tc_Nat_Onat, c_Nat_OSuc( Z ), X ) ) }.
% 0.91/1.52 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.91/1.52 ( tc_Nat_Onat, Y, X ), c_Nat_OSuc( Y ) ) }.
% 0.91/1.52 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) =
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.91/1.52 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) =
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.91/1.52 { ! c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), X ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), X ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( X ), Y ) =
% 0.91/1.52 c_Nat_OSuc( c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) = Y }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z,
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.91/1.52 tc_Nat_Onat, Z, X ), Y ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.91/1.52 ( tc_Nat_Onat, Z, X ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z
% 0.91/1.52 , c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.91/1.52 ( tc_Nat_Onat, Y, Z ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z )
% 0.91/1.52 ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.91/1.52 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.91/1.52 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.91/1.52 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.91/1.52 ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.91/1.52 tc_Nat_Onat, X, Z ), Y ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), Z ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.91/1.52 tc_Nat_Onat, X, Y ), Z ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ), Y ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.91/1.52 tc_Nat_Onat, Z, X ), Y ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) = Z, X =
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), ! X =
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) = Z }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.91/1.52 tc_Nat_Onat, X, Y ), Y ) = X }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.91/1.52 tc_Nat_Onat, Z, X ), Y ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) = X }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.91/1.52 tc_Nat_Onat, X, Z ), Y ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z,
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.91/1.52 tc_Nat_Onat, Z, Y ), X ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.91/1.52 X, Y, Y ) ), c_Groups_Ozero__class_Ozero( X ) ), Z =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.91/1.52 X, Y, Y ) ), c_Groups_Ozero__class_Ozero( X ) ), Y =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__ring__strict( X ), ! Z =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.91/1.52 , c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.91/1.52 X, Y, Y ) ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__ring( X ), c_Orderings_Oord__class_Oless__eq(
% 0.91/1.52 X, c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.91/1.52 X, Y, Y ) ) ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.52 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z )
% 0.91/1.52 , c_Groups_Otimes__class_Otimes( X, Y, Y ) ) ), ! Z =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.91/1.52 }.
% 0.91/1.52 { ! class_Rings_Olinordered__ring__strict( X ), Z =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.91/1.52 X, Y, Y ) ) ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__ring__strict( X ), Y =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.91/1.52 X, Y, Y ) ) ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__ring( X ), ! c_Orderings_Oord__class_Oless( X
% 0.91/1.52 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z
% 0.91/1.52 ), c_Groups_Otimes__class_Otimes( X, Y, Y ) ),
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.52 { ! class_Int_Onumber__ring( X ), c_Groups_Oone__class_Oone( X ) =
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ) }.
% 0.91/1.52 { ! c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ),
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.91/1.52 { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) =
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ),
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) =
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.91/1.52 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ), X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.91/1.52 ( tc_Nat_Onat ), X ), c_Nat_OSuc( c_Groups_Ominus__class_Ominus(
% 0.91/1.52 tc_Nat_Onat, X, c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) )
% 0.91/1.52 ) ) = X }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.91/1.52 ( tc_Nat_Onat ), X ), X = c_Nat_OSuc( c_Groups_Ominus__class_Ominus(
% 0.91/1.52 tc_Nat_Onat, X, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.91/1.52 ( tc_Nat_Onat ), X ), c_Nat_OSuc( c_Groups_Ominus__class_Ominus(
% 0.91/1.52 tc_Nat_Onat, X, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) = X }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.91/1.52 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = X }.
% 0.91/1.52 { Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.91/1.52 tc_Nat_Onat, Y, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ), X ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ), alpha18( X, Y ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.91/1.52 { ! alpha18( X, Y ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.91/1.52 { ! alpha18( X, Y ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), alpha18( X, Y ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ), alpha18( X
% 0.91/1.52 , Y ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.91/1.52 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X
% 0.91/1.52 ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.91/1.52 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.91/1.52 tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X
% 0.91/1.52 ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.91/1.52 tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.91/1.52 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.91/1.52 , alpha19( X, Y, Z ) }.
% 0.91/1.52 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.91/1.52 , alpha50( X, Y, Z ) }.
% 0.91/1.52 { ! alpha19( X, Y, Z ), ! alpha50( X, Y, Z ), hBOOL( hAPP( Z,
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) ) }.
% 0.91/1.52 { ! alpha50( X, Y, Z ), ! Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.91/1.52 T ), hBOOL( hAPP( Z, T ) ) }.
% 0.91/1.52 { ! hBOOL( hAPP( Z, skol25( T, U, Z ) ) ), alpha50( X, Y, Z ) }.
% 0.91/1.52 { Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, skol25( X, Y, Z ) ),
% 0.91/1.52 alpha50( X, Y, Z ) }.
% 0.91/1.52 { ! alpha19( X, Y, Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X
% 0.91/1.52 ), hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), alpha19( X, Y, Z ) }
% 0.91/1.52 .
% 0.91/1.52 { ! hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), alpha19
% 0.91/1.52 ( X, Y, Z ) }.
% 0.91/1.52 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.91/1.52 , ! alpha20( X, Y, Z ) }.
% 0.91/1.52 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.91/1.52 , ! alpha51( X, Y, Z ) }.
% 0.91/1.52 { alpha20( X, Y, Z ), alpha51( X, Y, Z ), hBOOL( hAPP( Z,
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) ) }.
% 0.91/1.52 { ! alpha51( X, Y, Z ), ! hBOOL( hAPP( Z, skol26( T, U, Z ) ) ) }.
% 0.91/1.52 { ! alpha51( X, Y, Z ), Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.91/1.52 skol26( X, Y, Z ) ) }.
% 0.91/1.52 { ! Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, T ), hBOOL( hAPP( Z, T
% 0.91/1.52 ) ), alpha51( X, Y, Z ) }.
% 0.91/1.52 { ! alpha20( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X )
% 0.91/1.52 }.
% 0.91/1.52 { ! alpha20( X, Y, Z ), ! hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero(
% 0.91/1.52 tc_Nat_Onat ) ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), hBOOL( hAPP( Z,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), alpha20( X, Y, Z ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OPls ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc(
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ), Z ) =
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( X ),
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, c_Nat_OSuc(
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) ) =
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.91/1.52 tc_Nat_Onat, Z, Y ), c_Nat_OSuc( X ) ) }.
% 0.91/1.52 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.91/1.52 { Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.91/1.52 ( tc_Nat_Onat, Y, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ), X ) ) }.
% 0.91/1.52 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OBit1(
% 0.91/1.52 c_Int_OPls ) ) ) = c_Nat_OSuc( c_Nat_OSuc( c_Nat_OSuc(
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) ) }.
% 0.91/1.52 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 0.91/1.52 ) = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.91/1.52 { c_Nat_OSuc( c_Nat_OSuc( c_Nat_OSuc( X ) ) ) = c_Groups_Oplus__class_Oplus
% 0.91/1.52 ( tc_Nat_Onat, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1
% 0.91/1.52 ( c_Int_OBit1( c_Int_OPls ) ) ), X ) }.
% 0.91/1.52 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Oone__class_Oone(
% 0.91/1.52 tc_Nat_Onat ), c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) =
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.91/1.52 c_Int_OPls ) ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.91/1.52 ( tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.91/1.52 tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.91/1.52 ( tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) = c_Nat_OSuc(
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ),
% 0.91/1.52 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( X ) ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit1( X ) ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 0.91/1.52 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.91/1.52 c_Int_OPls ) ) ) = c_Nat_OSuc( c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.91/1.52 tc_Nat_Onat ) ) ) }.
% 0.91/1.52 { c_Nat_OSuc( c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) =
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.91/1.52 c_Int_OPls ) ) ) }.
% 0.91/1.52 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.91/1.52 c_Int_OPls ) ) ), X ) = c_Nat_OSuc( c_Nat_OSuc( X ) ) }.
% 0.91/1.52 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.91/1.52 c_Int_OPls ) ) ) ) = c_Nat_OSuc( c_Nat_OSuc( X ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OPls ), X ),
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) =
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y,
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 0.91/1.52 ) ) ) }.
% 0.91/1.52 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.91/1.52 c_Int_OPls ) ) ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, X )
% 0.91/1.52 }.
% 0.91/1.52 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.91/1.52 c_Int_OPls ) ) ) ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, c_Int_OPls ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Z ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ), X ) ) =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, c_Int_OPls ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Z ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ), X ) ) =
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ) ), X ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.91/1.52 ( tc_Int_Oint ), X ), ! X = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y ) ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Groups_Oone__class_Oone
% 0.91/1.52 ( tc_Int_Oint ), Y ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.91/1.52 ( tc_Int_Oint ), X ), ! X = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y ) ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Z ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.91/1.52 c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.91/1.52 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( c_Int_OBit1(
% 0.91/1.52 c_Int_OPls ) ) ) ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.91/1.52 tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0
% 0.91/1.52 ( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__semiring__1__strict( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.91/1.52 ( X, T, Y ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), U ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), W
% 0.91/1.52 ), ! c_Groups_Oplus__class_Oplus( X, U, W ) = c_Groups_Oone__class_Oone
% 0.91/1.52 ( X ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.91/1.52 X, W, T ) ), Y ) }.
% 0.91/1.52 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.91/1.52 ( X, Y ) ) ), c_RealVector_Onorm__class_Onorm( X,
% 0.91/1.52 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__idom( X ), Z = Y,
% 0.91/1.52 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.91/1.52 X, Y, Z ) }.
% 0.91/1.52 { ! class_Rings_Odivision__ring__inverse__zero( X ), !
% 0.91/1.52 c_Rings_Oinverse__class_Oinverse( X, Z ) =
% 0.91/1.52 c_Rings_Oinverse__class_Oinverse( X, Y ), Z = Y }.
% 0.91/1.52 { ! class_Rings_Odivision__ring__inverse__zero( X ), !
% 0.91/1.52 c_Rings_Oinverse__class_Oinverse( X, Z ) =
% 0.91/1.52 c_Rings_Oinverse__class_Oinverse( X, Y ), Z = Y }.
% 0.91/1.52 { ! class_Rings_Odivision__ring__inverse__zero( X ), ! Z = Y,
% 0.91/1.52 c_Rings_Oinverse__class_Oinverse( X, Z ) =
% 0.91/1.52 c_Rings_Oinverse__class_Oinverse( X, Y ) }.
% 0.91/1.52 { ! class_Rings_Odivision__ring__inverse__zero( X ),
% 0.91/1.52 c_Rings_Oinverse__class_Oinverse( X, c_Rings_Oinverse__class_Oinverse( X
% 0.91/1.52 , Y ) ) = Y }.
% 0.91/1.52 { c_RealVector_Onorm__class_Onorm( tc_RealDef_Oreal, X ) =
% 0.91/1.52 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) }.
% 0.91/1.52 { ! class_Rings_Omult__zero( X ), c_Groups_Otimes__class_Otimes( X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.91/1.52 }.
% 0.91/1.52 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, c_Groups_Ozero__class_Ozero( X ), Y ) =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ) }.
% 0.91/1.52 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, c_Groups_Ozero__class_Ozero( X ), Y ) =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ) }.
% 0.91/1.52 { ! class_Rings_Omult__zero( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.91/1.52 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, Y, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ) }.
% 0.91/1.52 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, Y, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ) }.
% 0.91/1.52 { ! class_Rings_Oring__no__zero__divisors( X ), !
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.91/1.52 ), Z = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero
% 0.91/1.52 ( X ) }.
% 0.91/1.52 { ! class_Rings_Oring__no__zero__divisors( X ), ! Z =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.91/1.52 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.91/1.52 { ! class_Rings_Oring__no__zero__divisors( X ), ! Y =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.91/1.52 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.91/1.52 { ! class_Rings_Ono__zero__divisors( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.91/1.52 X ), Z = c_Groups_Ozero__class_Ozero( X ), !
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, Y, Z ) = c_Groups_Ozero__class_Ozero( X
% 0.91/1.52 ) }.
% 0.91/1.52 { ! class_Rings_Ono__zero__divisors( X ), ! c_Groups_Otimes__class_Otimes(
% 0.91/1.52 X, Z, Y ) = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.91/1.52 .
% 0.91/1.52 { ! class_Rings_Ozero__neq__one( X ), ! c_Groups_Ozero__class_Ozero( X ) =
% 0.91/1.52 c_Groups_Oone__class_Oone( X ) }.
% 0.91/1.52 { ! class_Rings_Ozero__neq__one( X ), ! c_Groups_Oone__class_Oone( X ) =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ) }.
% 0.91/1.52 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.91/1.52 ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.91/1.52 T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.91/1.52 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.91/1.52 ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.91/1.52 T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.91/1.52 { ! class_Rings_Ocomm__semiring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.91/1.52 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.91/1.52 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.91/1.52 , Y ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.91/1.52 , T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.91/1.52 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.91/1.52 , Y ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.91/1.52 , T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.91/1.52 { ! class_Rings_Osemiring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Oplus__class_Oplus( X
% 0.91/1.52 , c_Groups_Otimes__class_Otimes( X, Z, T ), Y ) ) =
% 0.91/1.52 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( X, U, Z ), T ), Y ) }.
% 0.91/1.52 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Ominus__class_Ominus( X, Z
% 0.91/1.52 , Y ) ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.91/1.52 ( X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.91/1.52 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Ominus__class_Ominus( X, Z
% 0.91/1.52 , Y ) ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.91/1.52 ( X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.91/1.52 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, T, Z
% 0.91/1.52 ), Y ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.91/1.52 ( X, T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.91/1.52 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, T, Z
% 0.91/1.52 ), Y ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.91/1.52 ( X, T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.91/1.52 { ! class_Rings_Oring( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.91/1.52 Y ) ) }.
% 0.91/1.52 { ! class_Rings_Oring( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.91/1.52 , Y ) }.
% 0.91/1.52 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.91/1.52 Y ) ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes
% 0.91/1.52 ( X, Z, Y ) ) }.
% 0.91/1.52 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.91/1.52 Y ) ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes
% 0.91/1.52 ( X, Z, Y ) ) }.
% 0.91/1.52 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.91/1.52 , Y ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes
% 0.91/1.52 ( X, Z, Y ) ) }.
% 0.91/1.52 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.91/1.52 , Y ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes
% 0.91/1.52 ( X, Z, Y ) ) }.
% 0.91/1.52 { ! class_Rings_Oring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.91/1.52 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) =
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.91/1.52 Y ) ) }.
% 0.91/1.52 { ! class_Rings_Oring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.91/1.52 c_Groups_Ouminus__class_Ouminus( X, Z ), c_Groups_Ouminus__class_Ouminus
% 0.91/1.52 ( X, Y ) ) = c_Groups_Otimes__class_Otimes( X, Z, Y ) }.
% 0.91/1.52 { ! class_Rings_Oidom( X ), ! c_Groups_Otimes__class_Otimes( X, Z, Z ) =
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, Y, Y ), Z = Y, Z =
% 0.91/1.52 c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.91/1.52 { ! class_Rings_Oidom( X ), ! Z = Y, c_Groups_Otimes__class_Otimes( X, Z, Z
% 0.91/1.52 ) = c_Groups_Otimes__class_Otimes( X, Y, Y ) }.
% 0.91/1.52 { ! class_Rings_Oidom( X ), ! Z = c_Groups_Ouminus__class_Ouminus( X, Y ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, Z, Z ) = c_Groups_Otimes__class_Otimes
% 0.91/1.52 ( X, Y, Y ) }.
% 0.91/1.52 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.91/1.52 }.
% 0.91/1.52 { ! class_RealVector_Oreal__normed__field( X ),
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.91/1.52 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.91/1.52 { ! class_Rings_Odivision__ring__inverse__zero( X ),
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.91/1.52 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.91/1.52 { ! class_Rings_Odivision__ring( X ), c_Groups_Otimes__class_Otimes( X, T,
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.91/1.52 Z ), Y ) }.
% 0.91/1.52 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.91/1.52 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.91/1.52 ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ),
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.91/1.52 { ! class_RealVector_Oreal__normed__field( X ),
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, T, Z
% 0.91/1.52 ), Y ) = c_Groups_Oplus__class_Oplus( X, c_Rings_Oinverse__class_Odivide
% 0.91/1.52 ( X, T, Y ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.91/1.52 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.91/1.52 c_Groups_Ominus__class_Ominus( X, T, Z ), Y ) =
% 0.91/1.52 c_Groups_Ominus__class_Ominus( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.91/1.52 Y ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.91/1.52 { ! class_RealVector_Oreal__normed__field( X ),
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X, T,
% 0.91/1.52 Z ), Y ) = c_Groups_Ominus__class_Ominus( X,
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( X, T, Y ),
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.91/1.52 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X, Y
% 0.91/1.52 , c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.91/1.52 { ! class_Rings_Olinordered__idom( X ), c_Groups_Oabs__class_Oabs( X,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.91/1.52 c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__idom( X ), c_Groups_Otimes__class_Otimes( X,
% 0.91/1.52 c_Groups_Oabs__class_Oabs( X, Y ), c_Groups_Oabs__class_Oabs( X, Y ) ) =
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, Y, Y ) }.
% 0.91/1.52 { ! class_Rings_Odivision__ring__inverse__zero( X ),
% 0.91/1.52 c_Rings_Oinverse__class_Oinverse( X, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ) }.
% 0.91/1.52 { ! class_Rings_Odivision__ring__inverse__zero( X ), !
% 0.91/1.52 c_Rings_Oinverse__class_Oinverse( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.91/1.52 ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.91/1.52 { ! class_Rings_Odivision__ring__inverse__zero( X ), ! Y =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Oinverse( X, Y
% 0.91/1.52 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.91/1.52 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.91/1.52 , ! c_Rings_Oinverse__class_Oinverse( X, Y ) =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ) }.
% 0.91/1.52 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.91/1.52 , c_Rings_Oinverse__class_Oinverse( X, c_Rings_Oinverse__class_Oinverse(
% 0.91/1.52 X, Y ) ) = Y }.
% 0.91/1.52 { ! class_Rings_Odivision__ring( X ), ! c_Rings_Oinverse__class_Oinverse( X
% 0.91/1.52 , Y ) = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero
% 0.91/1.52 ( X ) }.
% 0.91/1.52 { ! class_Rings_Odivision__ring( X ), ! c_Rings_Oinverse__class_Oinverse( X
% 0.91/1.52 , Z ) = c_Rings_Oinverse__class_Oinverse( X, Y ), Z =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z
% 0.91/1.52 = Y }.
% 0.91/1.52 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X, Z,
% 0.91/1.52 Y ) ) = c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus
% 0.91/1.52 ( X, Y, Z ) ) }.
% 0.91/1.52 { ! class_Rings_Odivision__ring( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X, Z
% 0.91/1.52 ), Y ) }.
% 0.91/1.52 { ! class_RealVector_Oreal__normed__field( X ),
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X, Z
% 0.91/1.52 ), Y ) = c_Groups_Ouminus__class_Ouminus( X,
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__idom( X ), c_Groups_Oabs__class_Oabs( X,
% 0.91/1.52 c_Groups_Oone__class_Oone( X ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Ozero__class_Ozero(
% 0.91/1.52 tc_Int_Oint ) ) }.
% 0.91/1.52 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ouminus__class_Ouminus( X, Y
% 0.91/1.52 ) ) = c_RealVector_Onorm__class_Onorm( X, Y ) }.
% 0.91/1.52 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Oinverse( X,
% 0.91/1.52 c_Groups_Oone__class_Oone( X ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.91/1.52 { ! class_Rings_Odivision__ring__inverse__zero( X ),
% 0.91/1.52 c_Rings_Oinverse__class_Oinverse( X, c_Groups_Ouminus__class_Ouminus( X,
% 0.91/1.52 Y ) ) = c_Groups_Ouminus__class_Ouminus( X,
% 0.91/1.52 c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.91/1.52 { c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ) ) =
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, Y ) }.
% 0.91/1.52 { ! class_RealVector_Oreal__normed__vector( X ), c_Groups_Oabs__class_Oabs
% 0.91/1.52 ( tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( X, Y ) ) =
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( X, Y ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__ring( X ), c_Orderings_Oord__class_Oless__eq(
% 0.91/1.52 X, c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Y
% 0.91/1.52 , Y ) ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), alpha21( X, Y, Z ), alpha52(
% 0.91/1.52 X, Y, Z ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha21( X, Y, Z ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha52( X, Y, Z ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.91/1.52 { ! alpha52( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.52 { ! alpha52( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.91/1.52 ) ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ) ), alpha52( X, Y, Z ) }.
% 0.91/1.52 { ! alpha21( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.91/1.52 { ! alpha21( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.91/1.52 , Z ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), Y ), alpha21( X, Y, Z ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.91/1.52 , Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha22( X, Y, Z ), alpha53( X
% 0.91/1.52 , Y, Z ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha22( X, Y, Z ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.91/1.52 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha53( X, Y, Z ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.91/1.52 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.52 { ! alpha53( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.52 { ! alpha53( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.91/1.52 ) ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.91/1.52 ( X ), Y ), alpha53( X, Y, Z ) }.
% 0.91/1.52 { ! alpha22( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.91/1.52 { ! alpha22( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.91/1.52 , Z ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ) ), alpha22( X, Y, Z ) }.
% 0.91/1.52 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.91/1.52 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.91/1.52 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Y, Z
% 0.91/1.52 ) ) }.
% 0.91/1.52 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.91/1.52 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.91/1.52 , c_Groups_Otimes__class_Otimes( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 0.91/1.52 X ) ) }.
% 0.91/1.52 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.91/1.52 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.91/1.52 , c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero(
% 0.91/1.52 X ) ) }.
% 0.91/1.52 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.91/1.52 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.91/1.52 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, Y, Z ), c_Groups_Ozero__class_Ozero( X
% 0.91/1.52 ) ) }.
% 0.91/1.52 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.91/1.52 , Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 0.91/1.52 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.91/1.52 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.91/1.52 { ! class_Rings_Oordered__semiring( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.91/1.52 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 0.91/1.52 X, Z, T ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.91/1.52 { ! class_Rings_Oordered__semiring( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.91/1.52 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 0.91/1.52 X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.91/1.52 { ! class_Rings_Oordered__comm__semiring( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.91/1.52 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 0.91/1.52 X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.91/1.52 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.91/1.52 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.91/1.52 , c_Groups_Otimes__class_Otimes( X, Y, T ), c_Groups_Otimes__class_Otimes
% 0.91/1.52 ( X, Z, T ) ) }.
% 0.91/1.52 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.91/1.52 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.91/1.52 , c_Groups_Otimes__class_Otimes( X, T, Y ), c_Groups_Otimes__class_Otimes
% 0.91/1.52 ( X, T, Z ) ) }.
% 0.91/1.52 { ! class_Rings_Oordered__semiring( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.91/1.52 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.91/1.52 X ), U ), c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, Z, U ), c_Groups_Otimes__class_Otimes(
% 0.91/1.52 X, Y, T ) ) }.
% 0.91/1.52 { ! class_Rings_Oordered__semiring( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.91/1.52 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.91/1.52 X ), U ), c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, Z, U ), c_Groups_Otimes__class_Otimes(
% 0.91/1.52 X, Y, T ) ) }.
% 0.91/1.52 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.91/1.52 , c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.91/1.52 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.91/1.52 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.91/1.52 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.91/1.52 , Z, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.91/1.52 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.91/1.52 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.91/1.52 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.91/1.52 ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.91/1.52 , c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero(
% 0.91/1.52 X ) ) }.
% 0.91/1.52 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 0.91/1.52 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.91/1.52 X ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero( X
% 0.91/1.52 ) ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.91/1.52 ( X, T, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.91/1.52 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, T, Z ) ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.91/1.52 ( X, T, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.91/1.52 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, Z, T ) ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__comm__semiring__strict( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.91/1.52 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.91/1.52 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.91/1.52 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.91/1.52 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.91/1.52 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.91/1.52 ( X, c_Groups_Otimes__class_Otimes( X, Z, T ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.91/1.52 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.91/1.52 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.91/1.52 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.91/1.52 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.91/1.52 Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.91/1.52 ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.91/1.52 T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.91/1.52 ! c_Orderings_Oord__class_Oless( X, Z, T ), c_Orderings_Oord__class_Oless
% 0.91/1.52 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ) }
% 0.91/1.52 .
% 0.91/1.52 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ) }
% 0.91/1.52 .
% 0.91/1.52 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.91/1.52 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.91/1.52 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.91/1.52 Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.91/1.52 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.91/1.52 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.91/1.52 Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.91/1.52 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.91/1.52 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.91/1.52 ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.91/1.52 T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( X, T, Z ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.91/1.52 ! c_Orderings_Oord__class_Oless( X, T, Z ), c_Orderings_Oord__class_Oless
% 0.91/1.52 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.91/1.52 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ), alpha23( X, Y, Z, T ),
% 0.91/1.52 alpha54( X, Y, Z, T ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha23( X, Y, Z, T ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.91/1.52 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha54( X, Y, Z, T ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.91/1.52 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.91/1.52 { ! alpha54( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.52 { ! alpha54( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Ozero__class_Ozero( X ) )
% 0.91/1.52 , ! c_Orderings_Oord__class_Oless( X, Y, Z ), alpha54( X, Y, Z, T ) }.
% 0.91/1.52 { ! alpha23( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), T ) }.
% 0.91/1.52 { ! alpha23( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T )
% 0.91/1.52 , ! c_Orderings_Oord__class_Oless( X, Z, Y ), alpha23( X, Y, Z, T ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.91/1.52 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ), alpha24( X, Y, Z, T ),
% 0.91/1.52 alpha55( X, Y, Z, T ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha24( X, Y, Z, T ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.91/1.52 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha55( X, Y, Z, T ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.91/1.52 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.91/1.52 { ! alpha55( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Z,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.52 { ! alpha55( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Y, T ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.91/1.52 , ! c_Orderings_Oord__class_Oless( X, Y, T ), alpha55( X, Y, Z, T ) }.
% 0.91/1.52 { ! alpha24( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.91/1.52 { ! alpha24( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.91/1.52 , ! c_Orderings_Oord__class_Oless( X, T, Y ), alpha24( X, Y, Z, T ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__ring( X ), ! c_Orderings_Oord__class_Oless( X
% 0.91/1.52 , c_Groups_Otimes__class_Otimes( X, Y, Y ), c_Groups_Ozero__class_Ozero(
% 0.91/1.52 X ) ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.91/1.52 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( X, T, Z ), c_Orderings_Oord__class_Oless(
% 0.91/1.52 X, T, c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__semidom( X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.52 c_Groups_Oone__class_Oone( X ) ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__semidom( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.91/1.52 ( X, c_Groups_Oone__class_Oone( X ), c_Groups_Ozero__class_Ozero( X ) ) }
% 0.91/1.52 .
% 0.91/1.52 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.91/1.52 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.91/1.52 , Y, c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ) }
% 0.91/1.52 .
% 0.91/1.52 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.91/1.52 , Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.91/1.52 , Y, c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.91/1.52 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.91/1.52 ( X, c_Groups_Oone__class_Oone( X ), Z ), c_Orderings_Oord__class_Oless(
% 0.91/1.52 X, c_Groups_Oone__class_Oone( X ), c_Groups_Otimes__class_Otimes( X, Y, Z
% 0.91/1.52 ) ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.91/1.52 , Y, c_Groups_Oplus__class_Oplus( X, Y, c_Groups_Oone__class_Oone( X ) )
% 0.91/1.52 ) }.
% 0.91/1.52 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.91/1.52 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, U, T
% 0.91/1.52 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.91/1.52 c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, U, Z
% 0.91/1.52 ), c_Groups_Ominus__class_Ominus( X, T, Y ) ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, U, Z
% 0.91/1.52 ), Y ) ), c_Groups_Otimes__class_Otimes( X, Z,
% 0.91/1.52 c_Groups_Ominus__class_Ominus( X, T, Y ) ) ) }.
% 0.91/1.52 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.91/1.52 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.91/1.52 , Y ), T = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes
% 0.91/1.52 ( X, c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) }.
% 0.91/1.52 { ! class_Rings_Oring( X ), ! T = c_Groups_Oplus__class_Oplus( X,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, Z, W
% 0.91/1.52 ), U ), Y ), c_Groups_Oplus__class_Oplus( X,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.91/1.52 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.91/1.52 , Y ) }.
% 0.91/1.52 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.91/1.52 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.91/1.52 , Y ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.91/1.52 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ) = Y }.
% 0.91/1.52 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, W, Z
% 0.91/1.52 ), U ), T ) = Y, c_Groups_Oplus__class_Oplus( X,
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.91/1.52 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.91/1.52 , Y ) }.
% 0.91/1.52 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.91/1.52 , ! T = c_Rings_Oinverse__class_Odivide( X, Z, Y ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, T, Y ) = Z }.
% 0.91/1.52 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.91/1.52 , ! c_Groups_Otimes__class_Otimes( X, T, Y ) = Z, T =
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.91/1.52 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.91/1.52 , ! c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z, T =
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, Z, Y ) }.
% 0.91/1.52 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.91/1.52 , ! T = c_Groups_Otimes__class_Otimes( X, Z, Y ),
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z }.
% 0.91/1.52 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.91/1.52 , ! T = c_Groups_Otimes__class_Otimes( X, Z, Y ),
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z }.
% 0.91/1.52 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.91/1.52 , ! c_Groups_Otimes__class_Otimes( X, T, Y ) = Z, T =
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.91/1.52 { ! class_Rings_Oring__1__no__zero__divisors( X ), !
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, Y, Y ) = c_Groups_Oone__class_Oone( X )
% 0.91/1.52 , Y = c_Groups_Oone__class_Oone( X ), Y = c_Groups_Ouminus__class_Ouminus
% 0.91/1.52 ( X, c_Groups_Oone__class_Oone( X ) ) }.
% 0.91/1.52 { ! class_Rings_Oring__1__no__zero__divisors( X ), ! Y =
% 0.91/1.52 c_Groups_Oone__class_Oone( X ), c_Groups_Otimes__class_Otimes( X, Y, Y )
% 0.91/1.52 = c_Groups_Oone__class_Oone( X ) }.
% 0.91/1.52 { ! class_Rings_Oring__1__no__zero__divisors( X ), ! Y =
% 0.91/1.52 c_Groups_Ouminus__class_Ouminus( X, c_Groups_Oone__class_Oone( X ) ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, Y, Y ) = c_Groups_Oone__class_Oone( X )
% 0.91/1.52 }.
% 0.91/1.52 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.91/1.52 , ! c_Rings_Oinverse__class_Odivide( X, Z, Y ) =
% 0.91/1.52 c_Groups_Oone__class_Oone( X ), Z = Y }.
% 0.91/1.52 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.91/1.52 , ! Z = Y, c_Rings_Oinverse__class_Odivide( X, Z, Y ) =
% 0.91/1.52 c_Groups_Oone__class_Oone( X ) }.
% 0.91/1.52 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.91/1.52 , c_Rings_Oinverse__class_Odivide( X, Y, Y ) = c_Groups_Oone__class_Oone
% 0.91/1.52 ( X ) }.
% 0.91/1.52 { ! class_Rings_Odivision__ring__inverse__zero( X ), ! Y =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.91/1.52 Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.91/1.52 { ! class_Rings_Odivision__ring__inverse__zero( X ), Y =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.91/1.52 Y ) = c_Groups_Oone__class_Oone( X ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.91/1.52 , c_Groups_Oabs__class_Oabs( X, Z ), Y ), ! c_Orderings_Oord__class_Oless
% 0.91/1.52 ( X, c_Groups_Oabs__class_Oabs( X, U ), T ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X,
% 0.91/1.52 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, U ) ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.91/1.52 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.91/1.52 , c_Groups_Ouminus__class_Ouminus( X, c_Rings_Oinverse__class_Odivide( X
% 0.91/1.52 , Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X, Z,
% 0.91/1.52 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.91/1.52 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.91/1.52 , c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X
% 0.91/1.52 , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) =
% 0.91/1.52 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.91/1.52 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.91/1.52 , Z = c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Oinverse
% 0.91/1.52 ( X, c_Groups_Otimes__class_Otimes( X, Y, Z ) ) =
% 0.91/1.52 c_Groups_Otimes__class_Otimes( X, c_Rings_Oinverse__class_Oinverse( X, Z
% 0.91/1.52 ), c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.91/1.52 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.91/1.52 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( X, Y ) = c_Groups_Ozero__class_Ozero(
% 0.91/1.52 tc_RealDef_Oreal ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.91/1.52 { ! class_RealVector_Oreal__normed__vector( X ), ! Y =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( X ), c_RealVector_Onorm__class_Onorm( X, Y )
% 0.91/1.52 = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.91/1.52 , c_Groups_Oabs__class_Oabs( X, Z ), Y ), c_Orderings_Oord__class_Oless(
% 0.91/1.52 X, Z, Y ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.91/1.52 , c_Groups_Oabs__class_Oabs( X, Z ), Y ), c_Orderings_Oord__class_Oless(
% 0.91/1.52 X, c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) }.
% 0.91/1.52 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.91/1.52 , Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.91/1.52 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ),
% 0.91/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Oabs__class_Oabs( X, Z ), Y )
% 0.91/1.52 }.
% 0.91/1.52 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.91/1.52 , c_Rings_Oinverse__class_Oinverse( X, c_Groups_Ouminus__class_Ouminus( X
% 0.91/1.52 , Y ) ) = c_Groups_Ouminus__class_Ouminus( X,
% 0.91/1.52 c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.91/1.52 { ! class_Rings_Odivision__ring( X ), ! c_Groups_Otimes__class_Otimes( X, Z
% 0.91/1.52 , Y ) = c_Groups_Oone__class_Oone( X ), c_Rings_Oinverse__class_Oinverse
% 0.91/1.52 ( X, Z ) = Y }.
% 0.91/1.52 { ! class_RealVector_Oreal__normed__div__algebra( X ),
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.91/1.52 Y ) ) = c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.91/1.52 ( X, Y ) ) }.
% 0.91/1.52 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.91/1.52 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( X, Y ) ) }.
% 0.91/1.52 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( X, Y ), c_Groups_Ozero__class_Ozero(
% 0.91/1.52 tc_RealDef_Oreal ) ) }.
% 0.91/1.52 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X, Z
% 0.91/1.52 , Y ) = c_Groups_Otimes__class_Otimes( X, Z,
% 0.91/1.52 c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ), X =
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.91/1.52 { ! X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.91/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.91/1.52 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) }.
% 0.91/1.52 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Oinverse( X,
% 0.91/1.52 Y ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X )
% 0.91/1.52 , Y ) }.
% 0.91/1.52 { ! class_RealVector_Oreal__normed__algebra__1( X ),
% 0.91/1.52 c_RealVector_Onorm__class_Onorm( X, c_Groups_Oone__class_Oone( X ) ) =
% 0.91/1.52 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.91/1.52 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.91/1.52 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oone__class_Oone(
% 0.91/1.52 tc_Int_Oint ) ) }.
% 0.91/1.52 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oplus__class_Oplus(
% 0.91/1.53 tc_Int_Oint, X, Y ) ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Otimes__class_Otimes
% 0.91/1.53 ( tc_Int_Oint, X, Y ) ) }.
% 0.91/1.53 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.91/1.53 class_RealVector_Oreal__normed__field( X ),
% 0.91/1.53 c_RealVector_Onorm__class_Onorm( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.91/1.53 , Y ) ) = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.91/1.53 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.91/1.53 ( X, Y ) ) }.
% 0.91/1.53 { ! class_RealVector_Oreal__normed__div__algebra( X ), !
% 0.91/1.53 class_Rings_Odivision__ring__inverse__zero( X ),
% 0.91/1.53 c_RealVector_Onorm__class_Onorm( X, c_Rings_Oinverse__class_Oinverse( X,
% 0.91/1.53 Y ) ) = c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal,
% 0.91/1.53 c_RealVector_Onorm__class_Onorm( X, Y ) ) }.
% 0.91/1.53 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.91/1.53 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.91/1.53 , Y, T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.91/1.53 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.91/1.53 ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Y
% 0.91/1.53 , T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.91/1.53 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.91/1.53 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.91/1.53 , Y, T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.91/1.53 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.91/1.53 ! c_Orderings_Oord__class_Oless__eq( X, Z, T ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Y
% 0.91/1.53 , T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.91/1.53 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.91/1.53 ( X, U, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.91/1.53 ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.91/1.53 , U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.91/1.53 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.91/1.53 ( X, U, T ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.91/1.53 ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.91/1.53 , U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.91/1.53 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.91/1.53 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.91/1.53 , U ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X
% 0.91/1.53 , Z, U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.91/1.53 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, U, T ), ! c_Orderings_Oord__class_Oless
% 0.91/1.53 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.91/1.53 ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.91/1.53 , U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.91/1.53 { ! class_Rings_Olinordered__semiring( X ), ! c_Orderings_Oord__class_Oless
% 0.91/1.53 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.91/1.53 c_Groups_Otimes__class_Otimes( X, Y, Z ) ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.91/1.53 ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.91/1.53 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.91/1.53 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.91/1.53 ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.91/1.53 { ! class_Rings_Olinordered__semiring( X ), ! c_Orderings_Oord__class_Oless
% 0.91/1.53 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.91/1.53 c_Groups_Otimes__class_Otimes( X, T, Y ) ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.91/1.53 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.91/1.53 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.91/1.53 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.91/1.53 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.91/1.53 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 0.91/1.53 , Z ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.91/1.53 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 0.91/1.53 , Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.91/1.53 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.91/1.53 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.91/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Oone__class_Oone
% 0.91/1.53 ( X ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( X, Y, Z ), Y ) }.
% 0.91/1.53 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.91/1.53 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.91/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Oone__class_Oone
% 0.91/1.53 ( X ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( X, Z, Y ), Y ) }.
% 0.91/1.53 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.91/1.53 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.91/1.53 c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ) ) }.
% 0.91/1.53 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.91/1.53 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U
% 0.91/1.53 ), T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.91/1.53 , Z, U ), Y ) ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.91/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.91/1.53 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ) }.
% 0.91/1.53 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.91/1.53 , T, c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.91/1.53 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.91/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.91/1.53 , Y ) ) }.
% 0.91/1.53 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.91/1.53 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U
% 0.91/1.53 ), T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.91/1.53 , Z, U ), Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.91/1.53 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ) }.
% 0.91/1.53 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.91/1.53 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.91/1.53 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.91/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.91/1.53 , Y ) ) }.
% 0.91/1.53 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.91/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U )
% 0.91/1.53 , T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.91/1.53 Z, U ), Y ) ), c_Orderings_Oord__class_Oless( X, T,
% 0.91/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.91/1.53 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ) }.
% 0.91/1.53 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X, T
% 0.91/1.53 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.91/1.53 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ),
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.91/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.91/1.53 , Y ) ) }.
% 0.91/1.53 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.91/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U )
% 0.91/1.53 , T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.91/1.53 Z, U ), Y ) ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.91/1.53 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ) }.
% 0.91/1.53 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.91/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.91/1.53 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ),
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.91/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.91/1.53 , Y ) ) }.
% 0.91/1.53 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.91/1.53 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), c_Groups_Otimes__class_Otimes
% 0.91/1.53 ( X, c_Groups_Oabs__class_Oabs( X, Z ), Y ) = c_Groups_Oabs__class_Oabs(
% 0.91/1.53 X, c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.91/1.53 { ! class_Rings_Oordered__ring__abs( X ), alpha103( X, Z ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.91/1.53 ), c_Groups_Oabs__class_Oabs( X, c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.91/1.53 ) ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Oabs__class_Oabs( X, Z
% 0.91/1.53 ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.91/1.53 { ! class_Rings_Oordered__ring__abs( X ), alpha103( X, Z ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.91/1.53 ), c_Groups_Oabs__class_Oabs( X, c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.91/1.53 ) ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Oabs__class_Oabs( X, Z
% 0.91/1.53 ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.91/1.53 { ! alpha103( X, Y ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.91/1.53 { ! alpha103( X, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.53 { c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.91/1.53 ), c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero
% 0.91/1.53 ( X ) ), alpha103( X, Y ) }.
% 0.91/1.53 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.91/1.53 , Z = c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.91/1.53 c_Rings_Oinverse__class_Oinverse( X, Y ),
% 0.91/1.53 c_Rings_Oinverse__class_Oinverse( X, Z ) ) =
% 0.91/1.53 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X,
% 0.91/1.53 c_Rings_Oinverse__class_Oinverse( X, Y ), c_Groups_Oplus__class_Oplus( X
% 0.91/1.53 , Y, Z ) ), c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 0.91/1.53 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.91/1.53 , Z = c_Groups_Ozero__class_Ozero( X ), c_Groups_Ominus__class_Ominus( X
% 0.91/1.53 , c_Rings_Oinverse__class_Oinverse( X, Y ),
% 0.91/1.53 c_Rings_Oinverse__class_Oinverse( X, Z ) ) =
% 0.91/1.53 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X,
% 0.91/1.53 c_Rings_Oinverse__class_Oinverse( X, Y ), c_Groups_Ominus__class_Ominus(
% 0.91/1.53 X, Z, Y ) ), c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 0.91/1.53 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.91/1.53 , c_Groups_Otimes__class_Otimes( X, Y, c_Rings_Oinverse__class_Oinverse(
% 0.91/1.53 X, Y ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.91/1.53 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.91/1.53 , c_Groups_Otimes__class_Otimes( X, c_Rings_Oinverse__class_Oinverse( X,
% 0.91/1.53 Y ), Y ) = c_Groups_Oone__class_Oone( X ) }.
% 0.91/1.53 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.53 c_RealVector_Onorm__class_Onorm( X, Y ), c_Groups_Ozero__class_Ozero(
% 0.91/1.53 tc_RealDef_Oreal ) ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.91/1.53 { ! class_RealVector_Oreal__normed__vector( X ), ! Y =
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless__eq(
% 0.91/1.53 tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( X, Y ),
% 0.91/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.91/1.53 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.91/1.53 c_RealVector_Onorm__class_Onorm( X, Y ) ), ! Y =
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.91/1.53 { ! class_RealVector_Oreal__normed__vector( X ), Y =
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless(
% 0.91/1.53 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.91/1.53 c_RealVector_Onorm__class_Onorm( X, Y ) ) }.
% 0.91/1.53 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.91/1.53 , c_Rings_Oinverse__class_Oinverse( X, Y ) =
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X ), Y ) }
% 0.91/1.53 .
% 0.91/1.53 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.53 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.91/1.53 Y ) ), c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.91/1.53 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.91/1.53 ( X, Y ) ) ) }.
% 0.91/1.53 { ! class_RealVector_Oreal__normed__algebra( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.53 c_RealVector_Onorm__class_Onorm( X, Z ), Y ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.53 c_RealVector_Onorm__class_Onorm( X, U ), T ),
% 0.91/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.53 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.91/1.53 U ) ), c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, T ) ) }.
% 0.91/1.53 { ! class_RealVector_Oreal__normed__field( X ), Y =
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), c_RealVector_Onorm__class_Onorm( X,
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.91/1.53 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.91/1.53 ( X, Y ) ) }.
% 0.91/1.53 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.53 c_RealVector_Onorm__class_Onorm( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.91/1.53 ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.91/1.53 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.91/1.53 ( X, Y ) ) ) }.
% 0.91/1.53 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.53 c_RealVector_Onorm__class_Onorm( X, Z ), Y ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.53 c_RealVector_Onorm__class_Onorm( X, U ), T ),
% 0.91/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.53 c_RealVector_Onorm__class_Onorm( X, c_Groups_Oplus__class_Oplus( X, Z, U
% 0.91/1.53 ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, T ) ) }.
% 0.91/1.53 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.53 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X, Z,
% 0.91/1.53 Y ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.91/1.53 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.91/1.53 ( X, Y ) ) ) }.
% 0.91/1.53 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.53 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.91/1.53 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.91/1.53 ( X, Y ) ), c_RealVector_Onorm__class_Onorm( X,
% 0.91/1.53 c_Groups_Oplus__class_Oplus( X, Z, Y ) ) ) }.
% 0.91/1.53 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.53 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.91/1.53 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.91/1.53 ( X, Y ) ), c_RealVector_Onorm__class_Onorm( X,
% 0.91/1.53 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) ) }.
% 0.91/1.53 { ! class_Int_Onumber__ring( X ), !
% 0.91/1.53 class_RealVector_Oreal__normed__algebra__1( X ),
% 0.91/1.53 c_RealVector_Onorm__class_Onorm( X, c_Int_Onumber__class_Onumber__of( X,
% 0.91/1.53 Y ) ) = c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.91/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, Y ) ) }.
% 0.91/1.53 { ! class_RealVector_Oreal__normed__div__algebra( X ), Y =
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), c_RealVector_Onorm__class_Onorm( X,
% 0.91/1.53 c_Rings_Oinverse__class_Oinverse( X, Y ) ) =
% 0.91/1.53 c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal,
% 0.91/1.53 c_RealVector_Onorm__class_Onorm( X, Y ) ) }.
% 0.91/1.53 { ! class_Rings_Olinordered__semiring__1( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, T, Y ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.91/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.91/1.53 X ), W ), ! c_Groups_Oplus__class_Oplus( X, U, W ) =
% 0.91/1.53 c_Groups_Oone__class_Oone( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Z )
% 0.91/1.53 , c_Groups_Otimes__class_Otimes( X, W, T ) ), Y ) }.
% 0.91/1.53 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.53 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X,
% 0.91/1.53 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.91/1.53 , Y ) ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.91/1.53 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X, U,
% 0.91/1.53 Z ) ), c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus
% 0.91/1.53 ( X, T, Y ) ) ) ) }.
% 0.91/1.53 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.91/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit1( c_Int_OBit1(
% 0.91/1.53 c_Int_OPls ) ) ) ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oplus__class_Oplus(
% 0.91/1.53 tc_Int_Oint, c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ), X ) ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Z ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.91/1.53 tc_Int_Oint ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus
% 0.91/1.53 ( tc_Int_Oint, c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ), X ),
% 0.91/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.91/1.53 tc_Int_Oint ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.91/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 0.91/1.53 tc_Int_Oint, U, T ), Z ), c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( tc_Int_Oint, U, Y ), X ) ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Z ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, U ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, U ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, T, Y ) }.
% 0.91/1.53 { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes
% 0.91/1.53 ( tc_Int_Oint, W, U ), T ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ), X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oplus__class_Oplus(
% 0.91/1.53 tc_Int_Oint, c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ), X ) ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Z ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), T ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.91/1.53 tc_Int_Oint ), Z ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z,
% 0.91/1.53 W ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, U, Y ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.91/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 0.91/1.53 tc_Int_Oint, U, T ), Z ), c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( tc_Int_Oint, U, Y ), X ) ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, U, X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, U, Z ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, T ) }.
% 0.91/1.53 { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes
% 0.91/1.53 ( tc_Int_Oint, W, U ), T ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ), X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.91/1.53 tc_Int_Oint, c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ), X ),
% 0.91/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, T, W ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.91/1.53 tc_Int_Oint ), Z ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z,
% 0.91/1.53 W ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, U ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.91/1.53 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), T ),
% 0.91/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.91/1.53 tc_Nat_Onat, X, U ), Z ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, T
% 0.91/1.53 , c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 0.91/1.53 ( tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z
% 0.91/1.53 ) ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T,
% 0.91/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.91/1.53 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 0.91/1.53 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.91/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.91/1.53 tc_Nat_Onat, Y, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ) ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.91/1.53 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), T ),
% 0.91/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.91/1.53 tc_Nat_Onat, Y, U ), Z ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.91/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.91/1.53 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.91/1.53 , Z ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.91/1.53 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.91/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T ), Z ),
% 0.91/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.91/1.53 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), T ),
% 0.91/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.91/1.53 tc_Nat_Onat, Y, U ), Z ) ) }.
% 0.91/1.53 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol27 ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.91/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.91/1.53 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ) ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.91/1.53 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ),
% 0.91/1.53 skol27 ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.91/1.53 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 0.91/1.53 tc_Complex_Ocomplex, v_p, X ), c_Polynomial_Opoly( tc_Complex_Ocomplex,
% 0.91/1.53 v_p, v_z____ ) ) ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.91/1.53 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.91/1.53 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.91/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.53 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.91/1.53 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Int_Onumber__class_Onumber__of(
% 0.91/1.53 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.91/1.53 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.91/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ), Z =
% 0.91/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y = X }.
% 0.91/1.53 { ! Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.91/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.91/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 0.91/1.53 { ! Y = X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.91/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 0.91/1.53 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.91/1.53 tc_Nat_Onat, T, Z ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, Z ), X ) ) =
% 0.91/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.91/1.53 tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, T, Y ), Z ), X ) }
% 0.91/1.53 .
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.91/1.53 ( tc_Nat_Onat ), X ), ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z
% 0.91/1.53 ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ), Z = Y }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.91/1.53 ( tc_Nat_Onat ), X ), ! Z = Y, c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 0.91/1.53 , X, Z ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.91/1.53 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 0.91/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 0.91/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.91/1.53 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y
% 0.91/1.53 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 0.91/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.91/1.53 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 0.91/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.91/1.53 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z
% 0.91/1.53 , Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 0.91/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.91/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.91/1.53 tc_Nat_Onat, X, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), Z ) ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.91/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.91/1.53 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.91/1.53 , Z ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.91/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.91/1.53 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.91/1.53 , Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.91/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.91/1.53 tc_Nat_Onat, X, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), Z ) ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.91/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.91/1.53 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), T ),
% 0.91/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.91/1.53 tc_Nat_Onat, Y, U ), Z ) ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.91/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.91/1.53 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.91/1.53 , Z ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.91/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.91/1.53 tc_Nat_Onat, X, U ), T ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), Z ),
% 0.91/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.91/1.53 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.91/1.53 = Z }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.91/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.91/1.53 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.91/1.53 = Z, c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), T ) =
% 0.91/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.91/1.53 tc_Nat_Onat, Y, U ), Z ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.91/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.91/1.53 tc_Nat_Onat, Y, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ) ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T,
% 0.91/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.91/1.53 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 0.91/1.53 ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T,
% 0.91/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.91/1.53 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 0.91/1.53 ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.91/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.91/1.53 tc_Nat_Onat, Y, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ) ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.91/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.91/1.53 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), T ),
% 0.91/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.91/1.53 tc_Nat_Onat, X, U ), Z ) ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.91/1.53 T, c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.91/1.53 ( tc_Nat_Onat, X, Y ), U ), Z ) ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.91/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.91/1.53 tc_Nat_Onat, Y, U ), T ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ), T =
% 0.91/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.91/1.53 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 0.91/1.53 }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), ! T =
% 0.91/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.91/1.53 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 0.91/1.53 , c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 0.91/1.53 ( tc_Nat_Onat, Y, U ), T ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Oone__class_Oone( X ) )
% 0.91/1.53 , c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.91/1.53 c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.91/1.53 ), c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless__eq(
% 0.91/1.53 X, Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, c_Groups_Oone__class_Oone( X ), Y ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.91/1.53 ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X
% 0.91/1.53 , Y ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), Y ),
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.91/1.53 ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.91/1.53 { ! class_Fields_Ofield__inverse__zero( X ), c_Groups_Otimes__class_Otimes
% 0.91/1.53 ( X, c_Rings_Oinverse__class_Odivide( X, U, T ),
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, c_Groups_Otimes__class_Otimes( X, U,
% 0.91/1.53 Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.91/1.53 { ! class_Fields_Ofield__inverse__zero( X ),
% 0.91/1.53 c_Rings_Oinverse__class_Oinverse( X, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.91/1.53 { ! class_Fields_Ofield__inverse__zero( X ),
% 0.91/1.53 c_Groups_Ouminus__class_Ouminus( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.91/1.53 , Y ) ) = c_Rings_Oinverse__class_Odivide( X, Z,
% 0.91/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.91/1.53 { ! class_Fields_Ofield__inverse__zero( X ),
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X, Z
% 0.91/1.53 ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) =
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.91/1.53 { ! class_Fields_Ofield__inverse__zero( X ),
% 0.91/1.53 c_Rings_Oinverse__class_Oinverse( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.91/1.53 , Y ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.91/1.53 c_Rings_Oinverse__class_Oinverse( X, Z ),
% 0.91/1.53 c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.91/1.53 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.91/1.53 c_Rings_Oinverse__class_Oinverse( X, Y ) = c_Groups_Oone__class_Oone( X )
% 0.91/1.53 , Y = c_Groups_Oone__class_Oone( X ) }.
% 0.91/1.53 { ! class_Fields_Ofield__inverse__zero( X ), ! Y =
% 0.91/1.53 c_Groups_Oone__class_Oone( X ), c_Rings_Oinverse__class_Oinverse( X, Y )
% 0.91/1.53 = c_Groups_Oone__class_Oone( X ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ),
% 0.91/1.53 c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Odivide( X, Z, Y )
% 0.91/1.53 ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oabs__class_Oabs( X, Z
% 0.91/1.53 ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.91/1.53 { ! class_Fields_Ofield__inverse__zero( X ),
% 0.91/1.53 c_Rings_Oinverse__class_Oinverse( X, c_Rings_Oinverse__class_Odivide( X,
% 0.91/1.53 Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X, Y, Z ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ),
% 0.91/1.53 c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Oinverse( X, Y ) )
% 0.91/1.53 = c_Rings_Oinverse__class_Oinverse( X, c_Groups_Oabs__class_Oabs( X, Y )
% 0.91/1.53 ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ), alpha25( X, Y, Z ), alpha56
% 0.91/1.53 ( X, Y, Z ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha25( X, Y, Z
% 0.91/1.53 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.91/1.53 ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha56( X, Y, Z
% 0.91/1.53 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.91/1.53 ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.91/1.53 { ! alpha56( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.53 { ! alpha56( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.91/1.53 ) ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) ), alpha56( X, Y, Z ) }.
% 0.91/1.53 { ! alpha25( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.91/1.53 { ! alpha25( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.91/1.53 , Z ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), Y ), alpha25( X, Y, Z ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.91/1.53 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha26( X, Y, Z ), alpha57
% 0.91/1.53 ( X, Y, Z ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha26( X, Y, Z
% 0.91/1.53 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.91/1.53 ( X, Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha57( X, Y, Z
% 0.91/1.53 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.91/1.53 ( X, Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.53 { ! alpha57( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.53 { ! alpha57( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.91/1.53 ) ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.91/1.53 ( X ), Y ), alpha57( X, Y, Z ) }.
% 0.91/1.53 { ! alpha26( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.91/1.53 { ! alpha26( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.91/1.53 , Z ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) ), alpha26( X, Y, Z ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.91/1.53 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.91/1.53 ( X, Z, T ), c_Rings_Oinverse__class_Odivide( X, Y, T ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Ozero__class_Ozero( X )
% 0.91/1.53 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.91/1.53 ( X, Y, T ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, Y, T ),
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, Z, T ),
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, Y, T ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.91/1.53 ( X, Z, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.91/1.53 ( X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X
% 0.91/1.53 , Y, Z ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.91/1.53 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless
% 0.91/1.53 ( X, c_Rings_Oinverse__class_Odivide( X, Y, Z ),
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.91/1.53 ( X, Z, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.91/1.53 ( X, c_Rings_Oinverse__class_Odivide( X, Y, Z ),
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.91/1.53 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless
% 0.91/1.53 ( X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X
% 0.91/1.53 , Y, Z ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Z,
% 0.91/1.53 Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha27( X, Y, Z ), alpha58( X,
% 0.91/1.53 Y, Z ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha27( X, Y, Z
% 0.91/1.53 ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X
% 0.91/1.53 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha58( X, Y, Z
% 0.91/1.53 ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X
% 0.91/1.53 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.53 { ! alpha58( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.53 { ! alpha58( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.91/1.53 , ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.91/1.53 ), alpha58( X, Y, Z ) }.
% 0.91/1.53 { ! alpha27( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.91/1.53 { ! alpha27( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.91/1.53 , ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.91/1.53 ), alpha27( X, Y, Z ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ), alpha28( X, Y, Z ), alpha59
% 0.91/1.53 ( X, Y, Z ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha28( X, Y, Z
% 0.91/1.53 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha59( X, Y, Z
% 0.91/1.53 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.91/1.53 { ! alpha59( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.53 { ! alpha59( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.91/1.53 , ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.91/1.53 ), alpha59( X, Y, Z ) }.
% 0.91/1.53 { ! alpha28( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.91/1.53 { ! alpha28( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.91/1.53 , ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.91/1.53 ), alpha28( X, Y, Z ) }.
% 0.91/1.53 { ! class_Fields_Ofield__inverse__zero( X ), ! T =
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha60( X, Y, Z, T ) }.
% 0.91/1.53 { ! class_Fields_Ofield__inverse__zero( X ), ! T =
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha29( X, Y, T ) }.
% 0.91/1.53 { ! class_Fields_Ofield__inverse__zero( X ), ! alpha60( X, Y, Z, T ), !
% 0.91/1.53 alpha29( X, Y, T ), T = c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.91/1.53 { ! alpha60( X, Y, Z, T ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.53 c_Groups_Otimes__class_Otimes( X, T, Y ) = Z }.
% 0.91/1.53 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha60( X, Y, Z, T ) }.
% 0.91/1.53 { ! c_Groups_Otimes__class_Otimes( X, T, Y ) = Z, alpha60( X, Y, Z, T ) }.
% 0.91/1.53 { ! alpha29( X, Y, Z ), ! Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.91/1.53 { Y = c_Groups_Ozero__class_Ozero( X ), alpha29( X, Y, Z ) }.
% 0.91/1.53 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha29( X, Y, Z ) }.
% 0.91/1.53 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y, alpha61( X, Y, Z, T ) }.
% 0.91/1.53 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y, alpha30( X, Y, Z ) }.
% 0.91/1.53 { ! class_Fields_Ofield__inverse__zero( X ), ! alpha61( X, Y, Z, T ), !
% 0.91/1.53 alpha30( X, Y, Z ), c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y }.
% 0.91/1.53 { ! alpha61( X, Y, Z, T ), Z = c_Groups_Ozero__class_Ozero( X ), T =
% 0.91/1.53 c_Groups_Otimes__class_Otimes( X, Y, Z ) }.
% 0.91/1.53 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha61( X, Y, Z, T ) }.
% 0.91/1.53 { ! T = c_Groups_Otimes__class_Otimes( X, Y, Z ), alpha61( X, Y, Z, T ) }.
% 0.91/1.53 { ! alpha30( X, Y, Z ), ! Z = c_Groups_Ozero__class_Ozero( X ), Y =
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.91/1.53 { Z = c_Groups_Ozero__class_Ozero( X ), alpha30( X, Y, Z ) }.
% 0.91/1.53 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha30( X, Y, Z ) }.
% 0.91/1.53 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( X, T, Y ), c_Groups_Otimes__class_Otimes(
% 0.91/1.53 X, Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.91/1.53 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( X, Y, T ), c_Groups_Otimes__class_Otimes(
% 0.91/1.53 X, Y, Z ) ) = c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.91/1.53 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), ! c_Rings_Oinverse__class_Odivide( X, U
% 0.91/1.53 , Y ) = c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.91/1.53 c_Groups_Otimes__class_Otimes( X, U, Z ) = c_Groups_Otimes__class_Otimes
% 0.91/1.53 ( X, T, Y ) }.
% 0.91/1.53 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), ! c_Groups_Otimes__class_Otimes( X, U,
% 0.91/1.53 Z ) = c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, U, Y ) =
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse( X
% 0.91/1.53 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.91/1.53 ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.91/1.53 ), c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.53 c_Rings_Oinverse__class_Oinverse( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.91/1.53 ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.53 c_Rings_Oinverse__class_Oinverse( X, Y ) ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.91/1.53 ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.91/1.53 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.91/1.53 ), c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.53 c_Rings_Oinverse__class_Oinverse( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.91/1.53 ( X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.53 c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.91/1.53 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.91/1.53 , Y, c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.91/1.53 ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Oinverse( X
% 0.91/1.53 , Y ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Oinverse( X
% 0.91/1.53 , Y ) ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ) }
% 0.91/1.53 .
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, c_Rings_Oinverse__class_Oinverse( X, Y ), c_Groups_Ozero__class_Ozero
% 0.91/1.53 ( X ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.53 c_Rings_Oinverse__class_Oinverse( X, Y ),
% 0.91/1.53 c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.53 c_Rings_Oinverse__class_Oinverse( X, Y ),
% 0.91/1.53 c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, c_Rings_Oinverse__class_Oinverse( X, Y ), c_Groups_Ozero__class_Ozero
% 0.91/1.53 ( X ) ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ) }
% 0.91/1.53 .
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, c_Rings_Oinverse__class_Oinverse( X, Z ),
% 0.91/1.53 c_Rings_Oinverse__class_Oinverse( X, Y ) ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, c_Rings_Oinverse__class_Oinverse( X, Z ),
% 0.91/1.53 c_Rings_Oinverse__class_Oinverse( X, Y ) ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.91/1.53 X ), c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.91/1.53 , Y ) ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oabs__class_Oabs(
% 0.91/1.53 X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.91/1.53 { ! class_Fields_Ofield( X ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) =
% 0.91/1.53 c_Groups_Otimes__class_Otimes( X, Z, c_Rings_Oinverse__class_Oinverse( X
% 0.91/1.53 , Y ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.91/1.53 X ), c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.91/1.53 ) ) = c_Rings_Oinverse__class_Oinverse( X, c_Groups_Oabs__class_Oabs( X
% 0.91/1.53 , Y ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.91/1.53 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.91/1.53 , Z ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.91/1.53 ( X ), c_Rings_Oinverse__class_Odivide( X, Y, Z ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.91/1.53 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.91/1.53 ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 0.91/1.53 X ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, Z ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.91/1.53 ! c_Orderings_Oord__class_Oless( X, T, U ), c_Orderings_Oord__class_Oless
% 0.91/1.53 ( X, c_Rings_Oinverse__class_Odivide( X, Y, U ),
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.91/1.53 ), ! c_Orderings_Oord__class_Oless( X, Y, Z ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.91/1.53 ! c_Orderings_Oord__class_Oless__eq( X, T, U ),
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Y,
% 0.91/1.53 U ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.91/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.91/1.53 ! c_Orderings_Oord__class_Oless__eq( X, T, U ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.91/1.53 , Y, U ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.91/1.53 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.91/1.53 , Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 0.91/1.53 X ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.91/1.53 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.91/1.53 ) ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.91/1.53 X ), c_Rings_Oinverse__class_Odivide( X, Y, Z ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.91/1.53 Z, Y ) ), alpha62( X, Y, Z, T ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.91/1.53 Z, Y ) ), alpha74( X, Y, Z, T ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha62( X, Y, Z
% 0.91/1.53 , T ), ! alpha74( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T,
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.91/1.53 { ! alpha74( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), Y ), alpha86( X, Y, Z, T ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.91/1.53 , alpha74( X, Y, Z, T ) }.
% 0.91/1.53 { ! alpha86( X, Y, Z, T ), alpha74( X, Y, Z, T ) }.
% 0.91/1.53 { ! alpha86( X, Y, Z, T ), alpha98( X, Y, Z, T ) }.
% 0.91/1.53 { ! alpha86( X, Y, Z, T ), alpha31( X, Y, T ) }.
% 0.91/1.53 { ! alpha98( X, Y, Z, T ), ! alpha31( X, Y, T ), alpha86( X, Y, Z, T ) }.
% 0.91/1.53 { ! alpha98( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Z,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.91/1.53 { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.91/1.53 alpha98( X, Y, Z, T ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X,
% 0.91/1.53 T, Y ) ), alpha98( X, Y, Z, T ) }.
% 0.91/1.53 { ! alpha62( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( X, T, Y ), Z ) }.
% 0.91/1.53 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.91/1.53 alpha62( X, Y, Z, T ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.91/1.53 Y ), Z ), alpha62( X, Y, Z, T ) }.
% 0.91/1.53 { ! alpha31( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Z,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.91/1.53 , alpha31( X, Y, Z ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.91/1.53 , alpha31( X, Y, Z ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.91/1.53 Z ), Y ), alpha63( X, Y, Z, T ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.91/1.53 Z ), Y ), alpha75( X, Y, Z, T ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha63( X, Y, Z
% 0.91/1.53 , T ), ! alpha75( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, T, Z ), Y ) }.
% 0.91/1.53 { ! alpha75( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), Z ), alpha87( X, Y, Z, T ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.91/1.53 , alpha75( X, Y, Z, T ) }.
% 0.91/1.53 { ! alpha87( X, Y, Z, T ), alpha75( X, Y, Z, T ) }.
% 0.91/1.53 { ! alpha87( X, Y, Z, T ), alpha99( X, Y, Z, T ) }.
% 0.91/1.53 { ! alpha87( X, Y, Z, T ), alpha32( X, Y, Z ) }.
% 0.91/1.53 { ! alpha99( X, Y, Z, T ), ! alpha32( X, Y, Z ), alpha87( X, Y, Z, T ) }.
% 0.91/1.53 { ! alpha99( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( X, Y, Z ), T ) }.
% 0.91/1.53 { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 0.91/1.53 alpha99( X, Y, Z, T ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.91/1.53 Z ), T ), alpha99( X, Y, Z, T ) }.
% 0.91/1.53 { ! alpha63( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.53 T, c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.91/1.53 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.91/1.53 alpha63( X, Y, Z, T ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X,
% 0.91/1.53 Y, Z ) ), alpha63( X, Y, Z, T ) }.
% 0.91/1.53 { ! alpha32( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.91/1.53 , alpha32( X, Y, Z ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.91/1.53 , alpha32( X, Y, Z ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.91/1.53 ( X, T, c_Rings_Oinverse__class_Odivide( X, Z, Y ) ),
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Y
% 0.91/1.53 ), Z ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.91/1.53 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ), Z ),
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.91/1.53 Z, Y ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.91/1.53 ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ),
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.91/1.53 , Y ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.91/1.53 ( X, T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ),
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.91/1.53 Y ), Z ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.91/1.53 ( X, T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ),
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.91/1.53 Y ), Z ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.91/1.53 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ), Z ),
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.91/1.53 Z, Y ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.91/1.53 ( X, T, c_Rings_Oinverse__class_Odivide( X, Z, Y ) ),
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X, T
% 0.91/1.53 , Y ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.91/1.53 ( X, Z, c_Groups_Otimes__class_Otimes( X, T, Y ) ),
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.91/1.53 Z, Y ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.91/1.53 ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ),
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.91/1.53 ), T ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.91/1.53 ( X, c_Groups_Otimes__class_Otimes( X, Z, Y ), T ),
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.91/1.53 Y ), Z ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), T ), ! c_Orderings_Oord__class_Oless( X
% 0.91/1.53 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.91/1.53 Z ) ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide
% 0.91/1.53 ( X, T, Y ), c_Rings_Oinverse__class_Odivide( X, T, Z ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless( X,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.91/1.53 ) ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide(
% 0.91/1.53 X, T, Z ), c_Rings_Oinverse__class_Odivide( X, T, Y ) ) }.
% 0.91/1.53 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, T,
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( X, T, Y ) ), Y ) }.
% 0.91/1.53 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.53 c_Groups_Oplus__class_Oplus( X, T, c_Rings_Oinverse__class_Odivide( X, Z
% 0.91/1.53 , Y ) ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus
% 0.91/1.53 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ), Z ), Y ) }.
% 0.91/1.53 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) =
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), Y ) }.
% 0.91/1.53 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.53 c_Groups_Oplus__class_Oplus( X, c_Rings_Oinverse__class_Odivide( X, T, Y
% 0.91/1.53 ), Z ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus
% 0.91/1.53 ( X, T, c_Groups_Otimes__class_Otimes( X, Y, Z ) ), Y ) }.
% 0.91/1.53 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, U, Y ),
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, T, Z ) ) =
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.91/1.53 X, T, Y ) ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.91/1.53 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.53 c_Groups_Ominus__class_Ominus( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.91/1.53 Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X,
% 0.91/1.53 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, Y, T
% 0.91/1.53 ), Z ), Y ) }.
% 0.91/1.53 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.53 c_Groups_Ominus__class_Ominus( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.91/1.53 Y ), Z ) = c_Rings_Oinverse__class_Odivide( X,
% 0.91/1.53 c_Groups_Ominus__class_Ominus( X, T, c_Groups_Otimes__class_Otimes( X, Y
% 0.91/1.53 , Z ) ), Y ) }.
% 0.91/1.53 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ominus__class_Ominus( X,
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, U, Y ),
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, T, Z ) ) =
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.91/1.53 X, T, Y ) ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse( X
% 0.91/1.53 , Z ), c_Rings_Oinverse__class_Oinverse( X, Y ) ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse( X
% 0.91/1.53 , Z ), c_Rings_Oinverse__class_Oinverse( X, Y ) ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse( X
% 0.91/1.53 , Y ), c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse( X
% 0.91/1.53 , Y ), c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, Z, Y ), c_Orderings_Oord__class_Oless( X, Z,
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.91/1.53 ), c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.91/1.53 c_Groups_Oone__class_Oone( X ) ) ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, Z, Y ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.91/1.53 ), c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.91/1.53 c_Groups_Oone__class_Oone( X ) ) ), Y ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse( X
% 0.91/1.53 , Y ), c_Groups_Oone__class_Oone( X ) ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.91/1.53 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X )
% 0.91/1.53 , Y ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.91/1.53 ), c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.53 c_Rings_Oinverse__class_Oinverse( X, Y ), c_Groups_Oone__class_Oone( X )
% 0.91/1.53 ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ), Y )
% 0.91/1.53 , c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse
% 0.91/1.53 ( X, Y ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.91/1.53 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.91/1.53 c_Rings_Oinverse__class_Oinverse( X, Y ),
% 0.91/1.53 c_Rings_Oinverse__class_Oinverse( X, Z ) ) =
% 0.91/1.53 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X,
% 0.91/1.53 c_Groups_Oplus__class_Oplus( X, Y, Z ), c_Rings_Oinverse__class_Oinverse
% 0.91/1.53 ( X, Y ) ), c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 0.91/1.53 c_Rings_Oinverse__class_Oinverse( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.91/1.53 ( X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 0.91/1.53 c_Rings_Oinverse__class_Oinverse( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.91/1.53 ( X, Y, c_Groups_Oone__class_Oone( X ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.91/1.53 ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Oone__class_Oone( X ) ),
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 0.91/1.53 c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.91/1.53 ( X, Y, c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, c_Groups_Oone__class_Oone( X ), c_Rings_Oinverse__class_Oinverse( X, Y
% 0.91/1.53 ) ) }.
% 0.91/1.53 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.53 c_Groups_Otimes__class_Otimes( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.91/1.53 ), Y ) = c_Groups_Oone__class_Oone( X ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oabs__class_Oabs( X, Z ), Y
% 0.91/1.53 ) = c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.91/1.53 , Y ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.91/1.53 ( X, Z, Y ) ), alpha64( X, Y, Z, T ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.91/1.53 ( X, Z, Y ) ), alpha76( X, Y, Z, T ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha64( X, Y, Z
% 0.91/1.53 , T ), ! alpha76( X, Y, Z, T ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.91/1.53 { ! alpha76( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), Y ), alpha88( X, Y, Z, T ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.91/1.53 , alpha76( X, Y, Z, T ) }.
% 0.91/1.53 { ! alpha88( X, Y, Z, T ), alpha76( X, Y, Z, T ) }.
% 0.91/1.53 { ! alpha88( X, Y, Z, T ), alpha100( X, Y, Z, T ) }.
% 0.91/1.53 { ! alpha88( X, Y, Z, T ), alpha33( X, Y, T ) }.
% 0.91/1.53 { ! alpha100( X, Y, Z, T ), ! alpha33( X, Y, T ), alpha88( X, Y, Z, T ) }.
% 0.91/1.53 { ! alpha100( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.91/1.53 , Z, c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.91/1.53 { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.91/1.53 alpha100( X, Y, Z, T ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Otimes__class_Otimes
% 0.91/1.53 ( X, T, Y ) ), alpha100( X, Y, Z, T ) }.
% 0.91/1.53 { ! alpha64( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless__eq
% 0.91/1.53 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ), Z ) }.
% 0.91/1.53 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.91/1.53 alpha64( X, Y, Z, T ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.91/1.53 , T, Y ), Z ), alpha64( X, Y, Z, T ) }.
% 0.91/1.53 { ! alpha33( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.91/1.53 , Z, c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.91/1.53 , alpha33( X, Y, Z ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.91/1.53 ) ), alpha33( X, Y, Z ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.91/1.53 , T, Z ), Y ), alpha65( X, Y, Z, T ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.91/1.53 , T, Z ), Y ), alpha77( X, Y, Z, T ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha65( X, Y, Z
% 0.91/1.53 , T ), ! alpha77( X, Y, Z, T ), c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, T, Z ), Y ) }.
% 0.91/1.53 { ! alpha77( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), Z ), alpha89( X, Y, Z, T ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.91/1.53 , alpha77( X, Y, Z, T ) }.
% 0.91/1.53 { ! alpha89( X, Y, Z, T ), alpha77( X, Y, Z, T ) }.
% 0.91/1.53 { ! alpha89( X, Y, Z, T ), alpha101( X, Y, Z, T ) }.
% 0.91/1.53 { ! alpha89( X, Y, Z, T ), alpha34( X, Y, Z ) }.
% 0.91/1.53 { ! alpha101( X, Y, Z, T ), ! alpha34( X, Y, Z ), alpha89( X, Y, Z, T ) }.
% 0.91/1.53 { ! alpha101( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.91/1.53 , c_Groups_Otimes__class_Otimes( X, Y, Z ), T ) }.
% 0.91/1.53 { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 0.91/1.53 alpha101( X, Y, Z, T ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.91/1.53 , Y, Z ), T ), alpha101( X, Y, Z, T ) }.
% 0.91/1.53 { ! alpha65( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless__eq
% 0.91/1.53 ( X, T, c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.91/1.53 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.91/1.53 alpha65( X, Y, Z, T ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes
% 0.91/1.53 ( X, Y, Z ) ), alpha65( X, Y, Z, T ) }.
% 0.91/1.53 { ! alpha34( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.91/1.53 , c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.91/1.53 , alpha34( X, Y, Z ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.91/1.53 , Y ), alpha34( X, Y, Z ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.91/1.53 ( X, Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( X, T, Y ), Z ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 0.91/1.53 , Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.91/1.53 , T, Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes( X
% 0.91/1.53 , Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes( X
% 0.91/1.53 , Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 0.91/1.53 , Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.91/1.53 ( X, Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Otimes__class_Otimes( X
% 0.91/1.53 , T, Y ) ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.91/1.53 , T, Y ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( X, Z, Y ), T ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.91/1.53 , Y ), T ), c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.91/1.53 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.91/1.53 , c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.91/1.53 , T, Y ), c_Rings_Oinverse__class_Odivide( X, T, Z ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Ozero__class_Ozero( X )
% 0.91/1.53 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.91/1.53 , c_Groups_Otimes__class_Otimes( X, Z, Y ) ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.91/1.53 , T, Z ), c_Rings_Oinverse__class_Odivide( X, T, Y ) ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.91/1.53 c_Rings_Oinverse__class_Oinverse( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.91/1.53 ( X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.91/1.53 c_Rings_Oinverse__class_Oinverse( X, Y ) ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Oone__class_Oone( X ) )
% 0.91/1.53 }.
% 0.91/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.91/1.53 ! c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Oone__class_Oone( X )
% 0.91/1.53 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X )
% 0.91/1.53 , c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.91/1.53 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.53 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.91/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.91/1.53 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, Y, X ) ),
% 0.91/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ) ),
% 0.91/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 0.91/1.53 c_Groups_Ominus__class_Ominus( X, Z, Y ) ), c_Groups_Oplus__class_Oplus(
% 0.91/1.53 X, c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) )
% 0.91/1.53 ) }.
% 0.91/1.53 { ! class_Groups_Ozero( X ), ! c_Groups_Ozero__class_Ozero( X ) = Y, Y =
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.91/1.53 { ! class_Groups_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) = Y }.
% 0.91/1.53 { ! class_Groups_Oab__semigroup__mult( X ), c_Groups_Otimes__class_Otimes(
% 0.91/1.53 X, c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.91/1.53 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.91/1.53 , Y ) ) }.
% 0.91/1.53 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.91/1.53 c_Groups_Oplus__class_Oplus( X, Z, T ) = c_Groups_Oplus__class_Oplus( X,
% 0.91/1.53 Y, T ), Z = Y }.
% 0.91/1.53 { ! class_Groups_Ocancel__ab__semigroup__add( X ), !
% 0.91/1.53 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.91/1.53 T, Y ), Z = Y }.
% 0.91/1.53 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.91/1.53 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.91/1.53 T, Y ), Z = Y }.
% 0.91/1.53 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.91/1.53 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.91/1.53 Y, Z ), T = Y }.
% 0.91/1.53 { ! class_Groups_Ocancel__semigroup__add( X ), ! T = Y,
% 0.91/1.53 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.91/1.53 Y, Z ) }.
% 0.91/1.53 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.91/1.53 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.91/1.53 T, Y ), Z = Y }.
% 0.91/1.53 { ! class_Groups_Ocancel__semigroup__add( X ), ! Z = Y,
% 0.91/1.53 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.91/1.53 T, Y ) }.
% 0.91/1.53 { ! class_Groups_Oab__semigroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.91/1.53 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.91/1.53 ( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y ) ) }.
% 0.91/1.53 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.91/1.53 U, T ) = c_Groups_Ominus__class_Ominus( X, Z, Y ), ! U = T, Z = Y }.
% 0.91/1.53 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.91/1.53 U, T ) = c_Groups_Ominus__class_Ominus( X, Z, Y ), ! Z = Y, U = T }.
% 0.91/1.53 { ! class_Groups_Oone( X ), ! c_Groups_Oone__class_Oone( X ) = Y, Y =
% 0.91/1.53 c_Groups_Oone__class_Oone( X ) }.
% 0.91/1.53 { ! class_Groups_Oone( X ), ! Y = c_Groups_Oone__class_Oone( X ),
% 0.91/1.53 c_Groups_Oone__class_Oone( X ) = Y }.
% 0.91/1.53 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ouminus__class_Ouminus( X, Z
% 0.91/1.53 ) = c_Groups_Ouminus__class_Ouminus( X, Y ), Z = Y }.
% 0.91/1.53 { ! class_Groups_Ogroup__add( X ), ! Z = Y, c_Groups_Ouminus__class_Ouminus
% 0.91/1.53 ( X, Z ) = c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.91/1.53 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ouminus__class_Ouminus( X, Z
% 0.91/1.53 ) = Y, c_Groups_Ouminus__class_Ouminus( X, Y ) = Z }.
% 0.91/1.53 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ouminus__class_Ouminus( X, Y
% 0.91/1.53 ) = Z, c_Groups_Ouminus__class_Ouminus( X, Z ) = Y }.
% 0.91/1.53 { ! class_Groups_Ogroup__add( X ), ! Z = c_Groups_Ouminus__class_Ouminus( X
% 0.91/1.53 , Y ), Y = c_Groups_Ouminus__class_Ouminus( X, Z ) }.
% 0.91/1.53 { ! class_Groups_Ogroup__add( X ), ! Y = c_Groups_Ouminus__class_Ouminus( X
% 0.91/1.53 , Z ), Z = c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.91/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.91/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) ) = Y }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.91/1.53 c_Groups_Oabs__class_Oabs( X, c_Groups_Oabs__class_Oabs( X, Y ) ) =
% 0.91/1.53 c_Groups_Oabs__class_Oabs( X, Y ) }.
% 0.91/1.53 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.91/1.53 , c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.91/1.53 { ! class_Groups_Omonoid__add( X ), c_Groups_Oplus__class_Oplus( X, Y,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.91/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) = c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.91/1.53 , Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.91/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ozero__class_Ozero( X ) =
% 0.91/1.53 c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 0.91/1.53 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.91/1.53 { ! class_Groups_Omonoid__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.91/1.53 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.91/1.53 T ), c_Groups_Oplus__class_Oplus( X, Y, T ) ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.91/1.53 U ), c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.91/1.53 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.91/1.53 T ), c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.91/1.53 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.91/1.53 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.91/1.53 Z ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.91/1.53 Z ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.91/1.53 , c_Groups_Oplus__class_Oplus( X, T, Y ) ), c_Orderings_Oord__class_Oless
% 0.91/1.53 ( X, Z, Y ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Z, T )
% 0.91/1.53 , c_Groups_Oplus__class_Oplus( X, Y, T ) ), c_Orderings_Oord__class_Oless
% 0.91/1.53 ( X, Z, Y ) }.
% 0.91/1.53 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.91/1.53 ( X, U, T ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.53 c_Groups_Oplus__class_Oplus( X, Z, U ), c_Groups_Oplus__class_Oplus( X, Y
% 0.91/1.53 , T ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.91/1.53 , T, Y ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, c_Groups_Oplus__class_Oplus( X, Z, T ), c_Groups_Oplus__class_Oplus( X
% 0.91/1.53 , Y, T ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.91/1.53 , c_Groups_Oplus__class_Oplus( X, T, Y ) ), c_Orderings_Oord__class_Oless
% 0.91/1.53 ( X, Z, Y ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.91/1.53 , T, Y ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.91/1.53 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ), c_Orderings_Oord__class_Oless
% 0.91/1.53 ( X, T, Y ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, T, Y ), c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.91/1.53 , Y, Z ) ) }.
% 0.91/1.53 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ominus__class_Ominus( X, Z, Y
% 0.91/1.53 ) = c_Groups_Ozero__class_Ozero( X ), Z = Y }.
% 0.91/1.53 { ! class_Groups_Ogroup__add( X ), ! Z = Y, c_Groups_Ominus__class_Ominus(
% 0.91/1.53 X, Z, Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.91/1.53 { ! class_Groups_Oab__group__add( X ), ! Z = Y,
% 0.91/1.53 c_Groups_Ominus__class_Ominus( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.91/1.53 ) }.
% 0.91/1.53 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.91/1.53 Z, Y ) = c_Groups_Ozero__class_Ozero( X ), Z = Y }.
% 0.91/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Y, Y )
% 0.91/1.53 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.91/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Y,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.91/1.53 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.91/1.53 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.91/1.53 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.91/1.53 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, U, T ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.91/1.53 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.91/1.53 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, U, T ),
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.91/1.53 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.91/1.53 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, Z, Y ),
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, U, T ) }.
% 0.91/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.91/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) = Y, Y =
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.91/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.91/1.53 = Y }.
% 0.91/1.53 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ouminus__class_Ouminus( X, Y
% 0.91/1.53 ) = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X
% 0.91/1.53 ) }.
% 0.91/1.53 { ! class_Groups_Ogroup__add( X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.91/1.53 ) }.
% 0.91/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.91/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ), Y = c_Groups_Ozero__class_Ozero
% 0.91/1.53 ( X ) }.
% 0.91/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ouminus__class_Ouminus( X
% 0.91/1.53 , Y ) }.
% 0.91/1.53 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ozero__class_Ozero( X ) =
% 0.91/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ), c_Groups_Ozero__class_Ozero( X )
% 0.91/1.53 = Y }.
% 0.91/1.53 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ozero__class_Ozero( X ) = Y,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) = c_Groups_Ouminus__class_Ouminus( X, Y
% 0.91/1.53 ) }.
% 0.91/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.91/1.53 { ! class_Groups_Ocomm__monoid__mult( X ), c_Groups_Otimes__class_Otimes( X
% 0.91/1.53 , Y, c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.91/1.53 { ! class_Groups_Omonoid__mult( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.91/1.53 c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.91/1.53 { ! class_Groups_Ocomm__monoid__mult( X ), c_Groups_Otimes__class_Otimes( X
% 0.91/1.53 , c_Groups_Oone__class_Oone( X ), Y ) = Y }.
% 0.91/1.53 { ! class_Groups_Omonoid__mult( X ), c_Groups_Otimes__class_Otimes( X,
% 0.91/1.53 c_Groups_Oone__class_Oone( X ), Y ) = Y }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.91/1.53 , Y ), c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.91/1.53 , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, Z ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.91/1.53 , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.91/1.53 , Z ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ), Z ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.91/1.53 , Y ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.53 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ouminus__class_Ouminus
% 0.91/1.53 ( X, Y ) ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.91/1.53 c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ouminus__class_Ouminus
% 0.91/1.53 ( X, Z ) ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.91/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.91/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.91/1.53 c_Groups_Oplus__class_Oplus( X, Z, Y ), Y ) = Z }.
% 0.91/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.91/1.53 c_Groups_Ominus__class_Ominus( X, Z, Y ), Y ) = Z }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.91/1.53 , c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, Y, Z ), c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, c_Groups_Ouminus__class_Ouminus( X, Z ),
% 0.91/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.91/1.53 , Y ), c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus
% 0.91/1.53 ( X, Y ), Z ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.91/1.53 , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus
% 0.91/1.53 ( X, Z ), Y ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.91/1.53 Y ) ), c_Orderings_Oord__class_Oless( X, Y,
% 0.91/1.53 c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ouminus__class_Ouminus( X,
% 0.91/1.53 Z ) ), c_Orderings_Oord__class_Oless( X, Z,
% 0.91/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.91/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.91/1.53 c_Groups_Ouminus__class_Ouminus( X, Z ), c_Groups_Oplus__class_Oplus( X,
% 0.91/1.53 Z, Y ) ) = Y }.
% 0.91/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X, Z,
% 0.91/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Ouminus__class_Ouminus( X, Z ),
% 0.91/1.53 Y ) ) = Y }.
% 0.91/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.91/1.53 c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X
% 0.91/1.53 , c_Groups_Ouminus__class_Ouminus( X, Y ),
% 0.91/1.53 c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.91/1.53 { ! class_Groups_Oab__group__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.91/1.53 c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X
% 0.91/1.53 , c_Groups_Ouminus__class_Ouminus( X, Z ),
% 0.91/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.91/1.53 { ! class_Groups_Oab__group__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.91/1.53 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) =
% 0.91/1.53 c_Groups_Ominus__class_Ominus( X, Y, Z ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.91/1.53 c_Groups_Oabs__class_Oabs( X, Y ) = c_Groups_Ozero__class_Ozero( X ), Y =
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), ! Y =
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oabs__class_Oabs( X, Y ) =
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.91/1.53 c_Groups_Oabs__class_Oabs( X, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.91/1.53 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Oabs__class_Oabs( X, Y
% 0.91/1.53 ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.91/1.53 c_Groups_Oabs__class_Oabs( X, c_Groups_Oplus__class_Oplus( X,
% 0.91/1.53 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ) )
% 0.91/1.53 = c_Groups_Oplus__class_Oplus( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.91/1.53 c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.91/1.53 c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Z, Y ) )
% 0.91/1.53 = c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Y, Z )
% 0.91/1.53 ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.91/1.53 c_Groups_Oabs__class_Oabs( X, c_Groups_Ouminus__class_Ouminus( X, Y ) ) =
% 0.91/1.53 c_Groups_Oabs__class_Oabs( X, Y ) }.
% 0.91/1.53 { c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, Y, X ) =
% 0.91/1.53 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, Y,
% 0.91/1.53 c_Groups_Ouminus__class_Ouminus( tc_Complex_Ocomplex, X ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.91/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.91/1.53 , c_Groups_Oplus__class_Oplus( X, Y, Z ), c_Groups_Ozero__class_Ozero( X
% 0.91/1.53 ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.91/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oplus__class_Oplus( X,
% 0.91/1.53 Z, Y ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.91/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oplus__class_Oplus( X,
% 0.91/1.53 Y, Z ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.91/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.91/1.53 X ), Z ), ! c_Groups_Oplus__class_Oplus( X, Y, Z ) =
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.91/1.53 .
% 0.91/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.91/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.91/1.53 X ), Z ), ! c_Groups_Oplus__class_Oplus( X, Y, Z ) =
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.91/1.53 .
% 0.91/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.91/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.91/1.53 X ), Z ), ! Y = c_Groups_Ozero__class_Ozero( X ), ! Z =
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Z )
% 0.91/1.53 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.91/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.91/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.91/1.53 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Z )
% 0.91/1.53 ) }.
% 0.91/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Y,
% 0.91/1.53 Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.91/1.53 ) }.
% 0.91/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.91/1.53 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X
% 0.91/1.53 , Y, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.53 c_Groups_Oplus__class_Oplus( X, Y, Y ) ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.91/1.53 ) }.
% 0.91/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.91/1.53 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.91/1.53 ), c_Groups_Oplus__class_Oplus( X, Y, Y ) ) }.
% 0.91/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.53 c_Groups_Oplus__class_Oplus( X, Y, Y ) ), c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.91/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.53 c_Groups_Oplus__class_Oplus( X, Y, Y ) ) }.
% 0.91/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.91/1.53 , c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Y
% 0.91/1.53 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.91/1.53 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.91/1.53 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.91/1.53 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.53 c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.91/1.53 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.91/1.53 , c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.91/1.53 ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, U, T ), c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, c_Groups_Oplus__class_Oplus( X, Z, U ), c_Groups_Oplus__class_Oplus( X
% 0.91/1.53 , Y, T ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Z, U )
% 0.91/1.53 , c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X, Z
% 0.91/1.53 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X, Z
% 0.91/1.53 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.91/1.53 X, c_Groups_Ominus__class_Ominus( X, Z, Y ), c_Groups_Ozero__class_Ozero
% 0.91/1.53 ( X ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ominus__class_Ominus( X, Z, Y
% 0.91/1.53 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.91/1.53 , Z, Y ) }.
% 0.91/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.91/1.53 , Y ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.91/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.91/1.53 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus
% 0.91/1.53 ( X, Y ), Y ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.91/1.53 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.91/1.53 ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.91/1.53 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus
% 0.91/1.53 ( X, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ouminus__class_Ouminus
% 0.91/1.53 ( X, Y ) ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.91/1.53 ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.91/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.91/1.53 ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.91/1.53 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.91/1.53 ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.91/1.53 ( X, Y, c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.91/1.53 , c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.91/1.53 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.91/1.53 , Y ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.91/1.53 , Y ) }.
% 0.91/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.91/1.53 , Y ) }.
% 0.91/1.53 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Oplus__class_Oplus( X, Z, Y )
% 0.91/1.53 = c_Groups_Ozero__class_Ozero( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.91/1.53 Z ) = Y }.
% 0.91/1.53 { ! class_Groups_Oab__group__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.91/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ), Y ) =
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.91/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.91/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ), Y ) =
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.91/1.53 { ! class_Groups_Ogroup__add( X ), ! Z = c_Groups_Ouminus__class_Ouminus( X
% 0.91/1.53 , Y ), c_Groups_Oplus__class_Oplus( X, Z, Y ) =
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.91/1.53 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Oplus__class_Oplus( X, Z, Y )
% 0.91/1.53 = c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ouminus__class_Ouminus
% 0.91/1.53 ( X, Y ) }.
% 0.91/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X, Y,
% 0.91/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) ) = c_Groups_Ozero__class_Ozero(
% 0.91/1.53 X ) }.
% 0.91/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ouminus__class_Ouminus(
% 0.91/1.53 X, Y ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.91/1.53 ), c_Groups_Oabs__class_Oabs( X, Y ) = Y }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Y ),
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.91/1.53 }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), ! Y =
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.53 c_Groups_Oabs__class_Oabs( X, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.53 c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Oabs__class_Oabs( X, Y ),
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.91/1.53 c_Groups_Oabs__class_Oabs( X, Y ) ), ! Y = c_Groups_Ozero__class_Ozero( X
% 0.91/1.53 ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), Y =
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.91/1.53 c_Groups_Oabs__class_Oabs( X, Y ) = Y }.
% 0.91/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Z,
% 0.91/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) ) = c_Groups_Oplus__class_Oplus(
% 0.91/1.53 X, Z, Y ) }.
% 0.91/1.53 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus( X, Z
% 0.91/1.53 , Y ) = c_Groups_Oplus__class_Oplus( X, Z,
% 0.91/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.91/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Z, Y )
% 0.91/1.53 = c_Groups_Oplus__class_Oplus( X, Z, c_Groups_Ouminus__class_Ouminus( X
% 0.91/1.53 , Y ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 0.91/1.53 c_Groups_Oplus__class_Oplus( X, Z, Y ) ), c_Groups_Oplus__class_Oplus( X
% 0.91/1.53 , c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) )
% 0.91/1.53 ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X,
% 0.91/1.53 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ),
% 0.91/1.53 c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Y, Z ) )
% 0.91/1.53 ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X,
% 0.91/1.53 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ),
% 0.91/1.53 c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Z, Y ) )
% 0.91/1.53 ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 0.91/1.53 c_Groups_Ominus__class_Ominus( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.91/1.53 c_Groups_Oabs__class_Oabs( X, Y ) ) ), c_Groups_Oabs__class_Oabs( X,
% 0.91/1.53 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.91/1.53 Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.53 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.91/1.53 , Z ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.53 c_Groups_Oabs__class_Oabs( X, Z ), Y ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.91/1.53 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.91/1.53 Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.53 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.91/1.53 , Z ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.91/1.53 c_Groups_Oabs__class_Oabs( X, Z ), Y ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.91/1.53 , Y ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.91/1.53 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.91/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ),
% 0.91/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.91/1.53 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.91/1.53 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.91/1.53 , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.91/1.53 ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.91/1.53 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.91/1.53 , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.91/1.53 ), ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.91/1.53 ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.91/1.53 ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.91/1.53 ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.91/1.53 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.91/1.53 , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.91/1.53 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.91/1.53 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.91/1.53 , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.91/1.53 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.91/1.53 ), c_Groups_Oabs__class_Oabs( X, Y ) = c_Groups_Ouminus__class_Ouminus(
% 0.91/1.53 X, Y ) }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.91/1.53 , c_Groups_Oabs__class_Oabs( X, Y ) ), c_Groups_Ozero__class_Ozero( X ) )
% 0.91/1.53 }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.91/1.53 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.91/1.53 c_Groups_Oabs__class_Oabs( X, Y ) = c_Groups_Ouminus__class_Ouminus( X, Y
% 0.91/1.53 ) }.
% 0.91/1.53 { ! class_Groups_Oabs__if( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Groups_Oabs__class_Oabs( X, Y ) =
% 0.91/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.91/1.53 { ! class_Groups_Oabs__if( X ), c_Orderings_Oord__class_Oless( X, Y,
% 0.91/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Groups_Oabs__class_Oabs( X, Y ) = Y
% 0.91/1.53 }.
% 0.91/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 0.91/1.53 c_Groups_Ominus__class_Ominus( X, c_Groups_Oplus__class_Oplus( X, U, T )
% 0.91/1.53 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) ), c_Groups_Oplus__class_Oplus
% 0.91/1.53 ( X, c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, U, Z
% 0.91/1.53 ) ), c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, T,
% 0.91/1.53 Y ) ) ) ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, skol28, X ),
% 0.91/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.91/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.91/1.53 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, v_g____( hAPP(
% 0.91/1.53 v_f____, X ) ), v_z____ ) ), v_d____ ) }.
% 0.91/1.53 { ! class_Fields_Ofield( X ), c_Rings_Oinverse__class_Oinverse( X, Y ) =
% 0.91/1.53 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X ), Y ) }
% 0.91/1.53 .
% 0.91/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.91/1.53 Z, Y ) = c_Groups_Otimes__class_Otimes( X, Y, Z ) }.
% 0.91/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.91/1.53 T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.91/1.53 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Otimes__class_Otimes( X, T
% 0.91/1.53 , Y ) ) }.
% 0.91/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.91/1.53 T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.91/1.53 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.91/1.53 ), Y ) }.
% 0.91/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.91/1.53 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.91/1.53 , Y ) ) }.
% 0.91/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.91/1.53 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, T, Y
% 0.91/1.53 ), Z ) }.
% 0.91/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.91/1.53 X, Z, Y ) ) = c_Groups_Otimes__class_Otimes( X, U,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.91/1.53 , Y ) ) ) }.
% 0.91/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.91/1.53 X, Z, Y ) ) = c_Groups_Otimes__class_Otimes( X, Z,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, U, T
% 0.91/1.53 ), Y ) ) }.
% 0.91/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.91/1.53 X, Z, Y ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.91/1.53 X, T, Y ) ) }.
% 0.91/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Z
% 0.91/1.53 , Y ) = c_Groups_Oplus__class_Oplus( X, Y, Z ) }.
% 0.91/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, T
% 0.91/1.53 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.91/1.53 ( X, Z, c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.91/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, T
% 0.91/1.53 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.91/1.53 ( X, c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) }.
% 0.91/1.53 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_Int_Oint ) }.
% 0.91/1.53 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Int_Oint ) }.
% 0.91/1.53 { class_Rings_Olinordered__comm__semiring__strict( tc_Int_Oint ) }.
% 0.91/1.53 { class_Rings_Olinordered__semiring__1__strict( tc_Int_Oint ) }.
% 0.91/1.53 { class_Rings_Olinordered__semiring__strict( tc_Int_Oint ) }.
% 0.91/1.53 { class_Groups_Oordered__ab__semigroup__add( tc_Int_Oint ) }.
% 0.91/1.53 { class_Groups_Oordered__ab__group__add__abs( tc_Int_Oint ) }.
% 0.91/1.53 { class_Groups_Oordered__comm__monoid__add( tc_Int_Oint ) }.
% 0.91/1.53 { class_Groups_Olinordered__ab__group__add( tc_Int_Oint ) }.
% 0.91/1.53 { class_Groups_Ocancel__ab__semigroup__add( tc_Int_Oint ) }.
% 0.91/1.53 { class_Rings_Oring__1__no__zero__divisors( tc_Int_Oint ) }.
% 0.91/1.53 { class_Rings_Oordered__cancel__semiring( tc_Int_Oint ) }.
% 0.91/1.53 { class_Rings_Olinordered__ring__strict( tc_Int_Oint ) }.
% 0.91/1.53 { class_Rings_Oring__no__zero__divisors( tc_Int_Oint ) }.
% 0.91/1.53 { class_Rings_Oordered__comm__semiring( tc_Int_Oint ) }.
% 0.91/1.53 { class_Rings_Olinordered__semiring__1( tc_Int_Oint ) }.
% 0.91/1.53 { class_Groups_Oordered__ab__group__add( tc_Int_Oint ) }.
% 0.91/1.53 { class_Groups_Ocancel__semigroup__add( tc_Int_Oint ) }.
% 0.91/1.53 { class_Rings_Olinordered__semiring( tc_Int_Oint ) }.
% 0.91/1.53 { class_Rings_Olinordered__semidom( tc_Int_Oint ) }.
% 0.91/1.53 { class_Groups_Oab__semigroup__mult( tc_Int_Oint ) }.
% 0.91/1.53 { class_Groups_Ocomm__monoid__mult( tc_Int_Oint ) }.
% 0.91/1.53 { class_Groups_Oab__semigroup__add( tc_Int_Oint ) }.
% 0.91/1.53 { class_Rings_Oordered__semiring( tc_Int_Oint ) }.
% 0.91/1.53 { class_Rings_Oordered__ring__abs( tc_Int_Oint ) }.
% 0.91/1.53 { class_Rings_Ono__zero__divisors( tc_Int_Oint ) }.
% 0.91/1.53 { class_Groups_Ocomm__monoid__add( tc_Int_Oint ) }.
% 0.91/1.53 { class_Rings_Olinordered__ring( tc_Int_Oint ) }.
% 0.91/1.53 { class_Rings_Olinordered__idom( tc_Int_Oint ) }.
% 0.91/1.53 { class_Rings_Ocomm__semiring__1( tc_Int_Oint ) }.
% 0.91/1.53 { class_Rings_Ocomm__semiring( tc_Int_Oint ) }.
% 0.91/1.53 { class_Groups_Oab__group__add( tc_Int_Oint ) }.
% 0.91/1.53 { class_Rings_Ozero__neq__one( tc_Int_Oint ) }.
% 0.91/1.53 { class_Rings_Oordered__ring( tc_Int_Oint ) }.
% 0.91/1.53 { class_Orderings_Olinorder( tc_Int_Oint ) }.
% 0.91/1.53 { class_Groups_Omonoid__mult( tc_Int_Oint ) }.
% 0.91/1.53 { class_Groups_Omonoid__add( tc_Int_Oint ) }.
% 0.91/1.53 { class_Groups_Ogroup__add( tc_Int_Oint ) }.
% 0.91/1.53 { class_Rings_Omult__zero( tc_Int_Oint ) }.
% 0.91/1.53 { class_Int_Oring__char__0( tc_Int_Oint ) }.
% 0.91/1.53 { class_Int_Onumber__ring( tc_Int_Oint ) }.
% 0.91/1.53 { class_Rings_Osemiring( tc_Int_Oint ) }.
% 0.91/1.53 { class_Groups_Oabs__if( tc_Int_Oint ) }.
% 0.91/1.53 { class_Rings_Oring__1( tc_Int_Oint ) }.
% 0.91/1.53 { class_Groups_Ozero( tc_Int_Oint ) }.
% 0.91/1.53 { class_Rings_Oring( tc_Int_Oint ) }.
% 0.91/1.53 { class_Rings_Oidom( tc_Int_Oint ) }.
% 0.91/1.53 { class_Int_Onumber( tc_Int_Oint ) }.
% 0.91/1.53 { class_Groups_Oone( tc_Int_Oint ) }.
% 0.91/1.53 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.91/1.53 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Nat_Onat ) }.
% 0.91/1.53 { class_Rings_Olinordered__comm__semiring__strict( tc_Nat_Onat ) }.
% 0.91/1.53 { class_Rings_Olinordered__semiring__strict( tc_Nat_Onat ) }.
% 0.91/1.53 { class_Groups_Oordered__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.91/1.53 { class_Groups_Oordered__comm__monoid__add( tc_Nat_Onat ) }.
% 0.91/1.53 { class_Groups_Ocancel__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.91/1.53 { class_Rings_Oordered__cancel__semiring( tc_Nat_Onat ) }.
% 0.91/1.53 { class_Rings_Oordered__comm__semiring( tc_Nat_Onat ) }.
% 0.91/1.53 { class_Groups_Ocancel__semigroup__add( tc_Nat_Onat ) }.
% 0.91/1.53 { class_Rings_Olinordered__semiring( tc_Nat_Onat ) }.
% 0.91/1.53 { class_Rings_Olinordered__semidom( tc_Nat_Onat ) }.
% 0.91/1.53 { class_Groups_Oab__semigroup__mult( tc_Nat_Onat ) }.
% 0.91/1.53 { class_Groups_Ocomm__monoid__mult( tc_Nat_Onat ) }.
% 0.91/1.53 { class_Groups_Oab__semigroup__add( tc_Nat_Onat ) }.
% 0.91/1.53 { class_Rings_Oordered__semiring( tc_Nat_Onat ) }.
% 0.91/1.53 { class_Rings_Ono__zero__divisors( tc_Nat_Onat ) }.
% 0.91/1.53 { class_Groups_Ocomm__monoid__add( tc_Nat_Onat ) }.
% 0.91/1.53 { class_Rings_Ocomm__semiring__1( tc_Nat_Onat ) }.
% 0.91/1.53 { class_Rings_Ocomm__semiring( tc_Nat_Onat ) }.
% 0.91/1.53 { class_Rings_Ozero__neq__one( tc_Nat_Onat ) }.
% 0.91/1.53 { class_Orderings_Olinorder( tc_Nat_Onat ) }.
% 0.91/1.53 { class_Groups_Omonoid__mult( tc_Nat_Onat ) }.
% 0.91/1.53 { class_Groups_Omonoid__add( tc_Nat_Onat ) }.
% 0.91/1.53 { class_Rings_Omult__zero( tc_Nat_Onat ) }.
% 0.91/1.53 { class_Rings_Osemiring( tc_Nat_Onat ) }.
% 0.91/1.53 { class_Groups_Ozero( tc_Nat_Onat ) }.
% 0.91/1.53 { class_Int_Onumber( tc_Nat_Onat ) }.
% 0.91/1.53 { class_Groups_Oone( tc_Nat_Onat ) }.
% 0.91/1.53 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_RealDef_Oreal ) }
% 0.91/1.53 .
% 0.91/1.53 { class_Rings_Olinordered__comm__semiring__strict( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Fields_Olinordered__field__inverse__zero( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Rings_Olinordered__semiring__1__strict( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_RealVector_Oreal__normed__div__algebra( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Rings_Olinordered__semiring__strict( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Rings_Odivision__ring__inverse__zero( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_RealVector_Oreal__normed__algebra__1( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Groups_Oordered__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Groups_Oordered__ab__group__add__abs( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_RealVector_Oreal__normed__algebra( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Groups_Oordered__comm__monoid__add( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Groups_Olinordered__ab__group__add( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Groups_Ocancel__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Rings_Oring__1__no__zero__divisors( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Rings_Oordered__cancel__semiring( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_RealVector_Oreal__normed__vector( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Rings_Olinordered__ring__strict( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_RealVector_Oreal__normed__field( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Rings_Oring__no__zero__divisors( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Rings_Oordered__comm__semiring( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Rings_Olinordered__semiring__1( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Groups_Oordered__ab__group__add( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Groups_Ocancel__semigroup__add( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Rings_Olinordered__semiring( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Fields_Ofield__inverse__zero( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Rings_Olinordered__semidom( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Groups_Oab__semigroup__mult( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Groups_Ocomm__monoid__mult( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Groups_Oab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Fields_Olinordered__field( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Rings_Oordered__semiring( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Rings_Oordered__ring__abs( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Rings_Ono__zero__divisors( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Groups_Ocomm__monoid__add( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Rings_Olinordered__ring( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Rings_Olinordered__idom( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Rings_Ocomm__semiring__1( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_RealVector_Oreal__field( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Rings_Odivision__ring( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Rings_Ocomm__semiring( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Groups_Oab__group__add( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Rings_Ozero__neq__one( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Rings_Oordered__ring( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Orderings_Olinorder( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Groups_Omonoid__mult( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Groups_Omonoid__add( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Groups_Ogroup__add( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Rings_Omult__zero( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Int_Oring__char__0( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Int_Onumber__ring( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Rings_Osemiring( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Groups_Oabs__if( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Rings_Oring__1( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Fields_Ofield( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Groups_Ozero( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Rings_Oring( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Rings_Oidom( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Int_Onumber( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_Groups_Oone( tc_RealDef_Oreal ) }.
% 0.91/1.53 { class_RealVector_Oreal__normed__div__algebra( tc_Complex_Ocomplex ) }.
% 0.91/1.53 { class_Rings_Odivision__ring__inverse__zero( tc_Complex_Ocomplex ) }.
% 0.91/1.53 { class_RealVector_Oreal__normed__algebra__1( tc_Complex_Ocomplex ) }.
% 0.91/1.53 { class_RealVector_Oreal__normed__algebra( tc_Complex_Ocomplex ) }.
% 0.91/1.53 { class_Groups_Ocancel__ab__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.91/1.53 { class_Rings_Oring__1__no__zero__divisors( tc_Complex_Ocomplex ) }.
% 0.91/1.53 { class_RealVector_Oreal__normed__vector( tc_Complex_Ocomplex ) }.
% 0.91/1.53 { class_RealVector_Oreal__normed__field( tc_Complex_Ocomplex ) }.
% 0.91/1.53 { class_Rings_Oring__no__zero__divisors( tc_Complex_Ocomplex ) }.
% 0.91/1.53 { class_Groups_Ocancel__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.91/1.53 { class_Fields_Ofield__inverse__zero( tc_Complex_Ocomplex ) }.
% 0.91/1.53 { class_Groups_Oab__semigroup__mult( tc_Complex_Ocomplex ) }.
% 0.91/1.53 { class_Groups_Ocomm__monoid__mult( tc_Complex_Ocomplex ) }.
% 0.91/1.53 { class_Groups_Oab__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.91/1.53 { class_Rings_Ono__zero__divisors( tc_Complex_Ocomplex ) }.
% 0.91/1.53 { class_Groups_Ocomm__monoid__add( tc_Complex_Ocomplex ) }.
% 0.91/1.53 { class_Rings_Ocomm__semiring__1( tc_Complex_Ocomplex ) }.
% 0.91/1.53 { class_RealVector_Oreal__field( tc_Complex_Ocomplex ) }.
% 0.91/1.53 { class_Rings_Odivision__ring( tc_Complex_Ocomplex ) }.
% 0.91/1.53 { class_Rings_Ocomm__semiring( tc_Complex_Ocomplex ) }.
% 0.91/1.53 { class_Groups_Oab__group__add( tc_Complex_Ocomplex ) }.
% 0.91/1.53 { class_Rings_Ozero__neq__one( tc_Complex_Ocomplex ) }.
% 0.91/1.53 { class_Groups_Omonoid__mult( tc_Complex_Ocomplex ) }.
% 0.91/1.53 { class_Groups_Omonoid__add( tc_Complex_Ocomplex ) }.
% 0.91/1.53 { class_Groups_Ogroup__add( tc_Complex_Ocomplex ) }.
% 0.91/1.53 { class_Rings_Omult__zero( tc_Complex_Ocomplex ) }.
% 0.91/1.53 { class_Int_Oring__char__0( tc_Complex_Ocomplex ) }.
% 0.91/1.53 { class_Int_Onumber__ring( tc_Complex_Ocomplex ) }.
% 0.91/1.53 { class_Rings_Osemiring( tc_Complex_Ocomplex ) }.
% 0.91/1.53 { class_Rings_Oring__1( tc_Complex_Ocomplex ) }.
% 0.91/1.53 { class_Fields_Ofield( tc_Complex_Ocomplex ) }.
% 0.91/1.53 { class_Groups_Ozero( tc_Complex_Ocomplex ) }.
% 0.91/1.53 { class_Rings_Oring( tc_Complex_Ocomplex ) }.
% 0.91/1.53 { class_Rings_Oidom( tc_Complex_Ocomplex ) }.
% 0.91/1.53 { class_Int_Onumber( tc_Complex_Ocomplex ) }.
% 0.91/1.53 { class_Groups_Oone( tc_Complex_Ocomplex ) }.
% 0.91/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.91/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.91/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.91/1.53 c_Int_OBit1( c_Int_OPls ) ) ), c_Rings_Oinverse__class_Odivide(
% 0.91/1.53 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.91/1.53 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.91/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.53 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.91/1.53 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Int_Onumber__class_Onumber__of(
% 0.91/1.53 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ),
% 0.91/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs
% 0.91/1.53 ( tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.91/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.91/1.53 ( tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 0.91/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ),
% 0.91/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) ),
% 0.91/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.91/1.53 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 0.91/1.53 tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 0.91/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ),
% 0.91/1.53 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, v_z____ ) ) ) ) ) }.
% 0.91/1.53
% 0.91/1.53 *** allocated 15000 integers for clauses
% 0.91/1.53 *** allocated 22500 integers for clauses
% 0.91/1.53 *** allocated 33750 integers for clauses
% 0.91/1.53 *** allocated 50625 integers for clauses
% 0.91/1.53 *** allocated 75937 integers for clauses
% 0.91/1.53 *** allocated 113905 integers for clauses
% 0.91/1.53 percentage equality = 0.223797, percentage horn = 0.893887
% 0.91/1.53 This is a problem with some equality
% 0.91/1.53
% 0.91/1.53
% 0.91/1.53
% 0.91/1.53 Options Used:
% 0.91/1.53
% 0.91/1.53 useres = 1
% 0.91/1.53 useparamod = 1
% 0.91/1.53 useeqrefl = 1
% 0.91/1.53 useeqfact = 1
% 0.91/1.53 usefactor = 1
% 0.91/1.53 usesimpsplitting = 0
% 0.91/1.53 usesimpdemod = 5
% 0.91/1.53 usesimpres = 3
% 0.91/1.53
% 0.91/1.53 resimpinuse = 1000
% 0.91/1.53 resimpclauses = 20000
% 0.91/1.53 substype = eqrewr
% 0.91/1.53 backwardsubs = 1
% 0.91/1.53 selectoldest = 5
% 0.91/1.53
% 0.91/1.53 litorderings [0] = split
% 0.91/1.53 litorderings [1] = extend the termordering, first sorting on arguments
% 0.91/1.53
% 0.91/1.53 termordering = kbo
% 0.91/1.53
% 0.91/1.53 litapriori = 0
% 0.91/1.53 termapriori = 1
% 0.91/1.53 litaposteriori = 0
% 0.91/1.53 termaposteriori = 0
% 0.91/1.53 demodaposteriori = 0
% 0.91/1.53 ordereqreflfact = 0
% 0.91/1.53
% 0.91/1.53 litselect = negord
% 0.91/1.53
% 0.91/1.53 maxweight = 15
% 0.91/1.53 maxdepth = 30000
% 0.91/1.53 maxlength = 115
% 0.91/1.53 maxnrvars = 195
% 0.91/1.53 excuselevel = 1
% 0.91/1.53 increasemaxweight = 1
% 0.91/1.53
% 0.91/1.53 maxselected = 10000000
% 0.91/1.53 maxnrclauses = 10000000
% 0.91/1.53
% 0.91/1.53 showgenerated = 0
% 0.91/1.53 showkept = 0
% 0.91/1.53 showselected = 0
% 0.91/1.53 showdeleted = 0
% 0.91/1.53 showresimp = 1
% 0.91/1.53 showstatus = 2000
% 0.91/1.53
% 0.91/1.53 prologoutput = 0
% 0.91/1.53 nrgoals = 5000000
% 0.91/1.53 totalproof = 1
% 0.91/1.53
% 0.91/1.53 Symbols occurring in the translation:
% 0.91/1.53
% 0.91/1.53 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.91/1.53 . [1, 2] (w:1, o:206, a:1, s:1, b:0),
% 0.91/1.53 ! [4, 1] (w:0, o:120, a:1, s:1, b:0),
% 0.91/1.53 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.91/1.53 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.91/1.53 v_f____ [35, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.91/1.53 c_SEQ_Osubseq [36, 1] (w:1, o:125, a:1, s:1, b:0),
% 0.91/1.53 tc_RealDef_Oreal [41, 0] (w:1, o:35, a:1, s:1, b:0),
% 0.91/1.53 c_Groups_Ominus__class_Ominus [42, 3] (w:1, o:254, a:1, s:1, b:0),
% 0.91/1.53 c_Groups_Oabs__class_Oabs [43, 2] (w:1, o:230, a:1, s:1, b:0),
% 0.91/1.53 c_Orderings_Oord__class_Oless__eq [44, 3] (w:1, o:255, a:1, s:1, b:0)
% 0.91/1.53 ,
% 0.91/1.53 c_Groups_Oplus__class_Oplus [45, 3] (w:1, o:256, a:1, s:1, b:0),
% 0.91/1.53 tc_Complex_Ocomplex [46, 0] (w:1, o:36, a:1, s:1, b:0),
% 0.91/1.53 v_p [47, 0] (w:1, o:37, a:1, s:1, b:0),
% 0.91/1.53 v_z____ [48, 0] (w:1, o:38, a:1, s:1, b:0),
% 0.91/1.53 c_Polynomial_Opoly [49, 3] (w:1, o:258, a:1, s:1, b:0),
% 0.91/1.53 c_RealVector_Onorm__class_Onorm [50, 2] (w:1, o:231, a:1, s:1, b:0),
% 0.91/1.53
% 0.91/1.53 v_s____ [51, 0] (w:1, o:40, a:1, s:1, b:0),
% 0.91/1.53 c_Groups_Ouminus__class_Ouminus [52, 2] (w:1, o:232, a:1, s:1, b:0),
% 0.91/1.53
% 0.91/1.53 tc_Nat_Onat [53, 0] (w:1, o:41, a:1, s:1, b:0),
% 0.91/1.53 v_N1____ [54, 0] (w:1, o:42, a:1, s:1, b:0),
% 0.91/1.53 v_N2____ [55, 0] (w:1, o:43, a:1, s:1, b:0),
% 0.91/1.53 hAPP [56, 2] (w:1, o:233, a:1, s:1, b:0),
% 0.91/1.53 v_g____ [57, 1] (w:1, o:126, a:1, s:1, b:0),
% 0.91/1.53 v_r [60, 0] (w:1, o:39, a:1, s:1, b:0),
% 0.91/1.53 c_Int_OPls [61, 0] (w:1, o:48, a:1, s:1, b:0),
% 0.91/1.53 c_Int_OBit1 [62, 1] (w:1, o:128, a:1, s:1, b:0),
% 0.91/1.53 c_Int_OBit0 [63, 1] (w:1, o:127, a:1, s:1, b:0),
% 0.91/1.53 c_Int_Onumber__class_Onumber__of [64, 2] (w:1, o:234, a:1, s:1, b:0)
% 0.91/1.53 ,
% 0.91/1.53 c_Rings_Oinverse__class_Odivide [65, 3] (w:1, o:259, a:1, s:1, b:0),
% 0.91/1.53
% 0.91/1.53 c_Orderings_Oord__class_Oless [66, 3] (w:1, o:257, a:1, s:1, b:0),
% 0.91/1.53 c_Groups_Otimes__class_Otimes [71, 3] (w:1, o:260, a:1, s:1, b:0),
% 0.91/1.53 class_Int_Onumber__ring [78, 1] (w:1, o:129, a:1, s:1, b:0),
% 0.91/1.53 c_RealDef_Oreal [79, 2] (w:1, o:235, a:1, s:1, b:0),
% 0.91/1.53 v_w____ [80, 0] (w:1, o:73, a:1, s:1, b:0),
% 0.91/1.53 c_Groups_Ozero__class_Ozero [82, 1] (w:1, o:130, a:1, s:1, b:0),
% 0.91/1.53 class_Rings_Olinordered__idom [86, 1] (w:1, o:131, a:1, s:1, b:0),
% 0.91/1.53 tc_Int_Oint [87, 0] (w:1, o:79, a:1, s:1, b:0),
% 0.91/1.53 class_Int_Onumber [93, 1] (w:1, o:132, a:1, s:1, b:0),
% 0.91/1.53 class_Orderings_Olinorder [94, 1] (w:1, o:133, a:1, s:1, b:0),
% 0.91/1.53 class_Int_Oring__char__0 [96, 1] (w:1, o:134, a:1, s:1, b:0),
% 0.91/1.53 class_Groups_Oab__group__add [101, 1] (w:1, o:139, a:1, s:1, b:0),
% 0.91/1.53 class_Rings_Osemiring [103, 1] (w:1, o:144, a:1, s:1, b:0),
% 0.91/1.53 class_Rings_Oring [104, 1] (w:1, o:140, a:1, s:1, b:0),
% 0.91/1.53 class_RealVector_Oreal__field [107, 1] (w:1, o:145, a:1, s:1, b:0),
% 0.91/1.53 class_Fields_Ofield [108, 1] (w:1, o:135, a:1, s:1, b:0),
% 0.91/1.53 v_d____ [109, 0] (w:1, o:88, a:1, s:1, b:0),
% 0.91/1.53 c_Nat_OSuc [111, 1] (w:1, o:146, a:1, s:1, b:0),
% 0.91/1.53 c_Groups_Oone__class_Oone [118, 1] (w:1, o:147, a:1, s:1, b:0),
% 0.91/1.53 class_Groups_Olinordered__ab__group__add [129, 1] (w:1, o:148, a:1
% 0.91/1.53 , s:1, b:0),
% 0.91/1.53 class_Groups_Ogroup__add [130, 1] (w:1, o:149, a:1, s:1, b:0),
% 0.91/1.53 class_Fields_Ofield__inverse__zero [133, 1] (w:1, o:136, a:1, s:1, b:
% 0.91/1.53 0),
% 0.91/1.53 class_Fields_Olinordered__field__inverse__zero [134, 1] (w:1, o:137
% 0.91/1.53 , a:1, s:1, b:0),
% 0.91/1.53 c_Rings_Oinverse__class_Oinverse [138, 2] (w:1, o:236, a:1, s:1, b:0)
% 0.91/1.53 ,
% 0.91/1.53 class_Rings_Odivision__ring [140, 1] (w:1, o:152, a:1, s:1, b:0),
% 0.91/1.53 class_Rings_Oring__1 [143, 1] (w:1, o:141, a:1, s:1, b:0),
% 0.91/1.53 class_RealVector_Oreal__normed__field [144, 1] (w:1, o:153, a:1, s:1
% 0.91/1.53 , b:0),
% 0.91/1.53 class_RealVector_Oreal__normed__div__algebra [146, 1] (w:1, o:154, a:
% 0.91/1.53 1, s:1, b:0),
% 0.91/1.53 class_RealVector_Oreal__normed__vector [148, 1] (w:1, o:155, a:1, s:1
% 0.91/1.53 , b:0),
% 0.91/1.53 hBOOL [157, 1] (w:1, o:156, a:1, s:1, b:0),
% 0.91/1.53 class_Rings_Olinordered__ring__strict [161, 1] (w:1, o:157, a:1, s:1
% 0.91/1.53 , b:0),
% 0.91/1.53 class_Rings_Olinordered__ring [165, 1] (w:1, o:158, a:1, s:1, b:0),
% 0.91/1.53 class_Rings_Olinordered__semiring__1__strict [168, 1] (w:1, o:159, a:
% 0.91/1.53 1, s:1, b:0),
% 0.91/1.53 class_Rings_Odivision__ring__inverse__zero [169, 1] (w:1, o:160, a:1
% 0.91/1.53 , s:1, b:0),
% 0.91/1.53 class_Rings_Omult__zero [170, 1] (w:1, o:166, a:1, s:1, b:0),
% 0.91/1.53 class_RealVector_Oreal__normed__algebra [171, 1] (w:1, o:167, a:1, s:
% 0.91/1.53 1, b:0),
% 0.91/1.53 class_Rings_Oring__no__zero__divisors [172, 1] (w:1, o:142, a:1, s:1
% 0.91/1.53 , b:0),
% 0.91/1.53 class_Rings_Ono__zero__divisors [173, 1] (w:1, o:168, a:1, s:1, b:0)
% 0.91/1.53 ,
% 0.91/1.53 class_Rings_Ozero__neq__one [174, 1] (w:1, o:169, a:1, s:1, b:0),
% 0.91/1.53 class_Rings_Ocomm__semiring [177, 1] (w:1, o:150, a:1, s:1, b:0),
% 0.91/1.53 class_Rings_Oidom [180, 1] (w:1, o:170, a:1, s:1, b:0),
% 0.91/1.53 class_Rings_Oordered__cancel__semiring [181, 1] (w:1, o:171, a:1, s:1
% 0.91/1.53 , b:0),
% 0.91/1.53 class_Rings_Oordered__ring [182, 1] (w:1, o:172, a:1, s:1, b:0),
% 0.91/1.53 class_Rings_Oordered__semiring [183, 1] (w:1, o:174, a:1, s:1, b:0),
% 0.91/1.53
% 0.91/1.53 class_Rings_Oordered__comm__semiring [184, 1] (w:1, o:175, a:1, s:1
% 0.91/1.53 , b:0),
% 0.91/1.53 class_Rings_Olinordered__comm__semiring__strict [185, 1] (w:1, o:161
% 0.91/1.53 , a:1, s:1, b:0),
% 0.91/1.53 class_Rings_Olinordered__semiring__strict [186, 1] (w:1, o:162, a:1
% 0.91/1.53 , s:1, b:0),
% 0.91/1.53 class_Rings_Olinordered__semidom [187, 1] (w:1, o:163, a:1, s:1, b:0)
% 0.91/1.53 ,
% 0.91/1.53 class_Rings_Oring__1__no__zero__divisors [190, 1] (w:1, o:143, a:1
% 0.91/1.53 , s:1, b:0),
% 0.91/1.53 class_RealVector_Oreal__normed__algebra__1 [191, 1] (w:1, o:176, a:1
% 0.91/1.53 , s:1, b:0),
% 0.91/1.53 class_Rings_Olinordered__semiring [192, 1] (w:1, o:164, a:1, s:1, b:0
% 0.91/1.53 ),
% 0.91/1.53 class_Rings_Oordered__ring__abs [193, 1] (w:1, o:173, a:1, s:1, b:0)
% 0.91/1.53 ,
% 0.91/1.53 class_Rings_Olinordered__semiring__1 [194, 1] (w:1, o:165, a:1, s:1
% 0.91/1.53 , b:0),
% 0.91/1.53 class_Fields_Olinordered__field [198, 1] (w:1, o:138, a:1, s:1, b:0)
% 0.91/1.53 ,
% 0.91/1.53 class_Groups_Oordered__ab__group__add__abs [199, 1] (w:1, o:177, a:1
% 0.91/1.53 , s:1, b:0),
% 0.91/1.53 class_Groups_Ozero [200, 1] (w:1, o:178, a:1, s:1, b:0),
% 0.91/1.53 class_Groups_Oab__semigroup__mult [201, 1] (w:1, o:179, a:1, s:1, b:0
% 0.91/1.53 ),
% 0.91/1.53 class_Groups_Ocancel__semigroup__add [202, 1] (w:1, o:180, a:1, s:1
% 0.91/1.53 , b:0),
% 0.91/1.53 class_Groups_Ocancel__ab__semigroup__add [203, 1] (w:1, o:181, a:1
% 0.91/1.53 , s:1, b:0),
% 0.91/1.53 class_Groups_Oab__semigroup__add [204, 1] (w:1, o:182, a:1, s:1, b:0)
% 0.91/1.53 ,
% 0.91/1.53 class_Groups_Oone [205, 1] (w:1, o:183, a:1, s:1, b:0),
% 0.91/1.53 class_Groups_Ocomm__monoid__add [206, 1] (w:1, o:184, a:1, s:1, b:0)
% 0.91/1.53 ,
% 0.91/1.53 class_Groups_Omonoid__add [207, 1] (w:1, o:185, a:1, s:1, b:0),
% 0.91/1.53 class_Groups_Oordered__ab__semigroup__add__imp__le [208, 1] (w:1, o:
% 0.91/1.53 186, a:1, s:1, b:0),
% 0.91/1.53 class_Groups_Oordered__ab__semigroup__add [209, 1] (w:1, o:187, a:1
% 0.91/1.53 , s:1, b:0),
% 0.91/1.53 class_Groups_Oordered__cancel__ab__semigroup__add [210, 1] (w:1, o:
% 0.91/1.53 188, a:1, s:1, b:0),
% 0.91/1.53 class_Groups_Oordered__ab__group__add [211, 1] (w:1, o:189, a:1, s:1
% 0.91/1.53 , b:0),
% 0.91/1.53 class_Groups_Ocomm__monoid__mult [212, 1] (w:1, o:190, a:1, s:1, b:0)
% 0.91/1.53 ,
% 0.91/1.53 class_Groups_Omonoid__mult [213, 1] (w:1, o:191, a:1, s:1, b:0),
% 0.91/1.53 class_Groups_Oordered__comm__monoid__add [214, 1] (w:1, o:192, a:1
% 0.91/1.53 , s:1, b:0),
% 0.91/1.53 class_Groups_Oabs__if [215, 1] (w:1, o:193, a:1, s:1, b:0),
% 0.91/1.53 class_Rings_Ocomm__semiring__1 [217, 1] (w:1, o:151, a:1, s:1, b:0),
% 0.91/1.53
% 0.91/1.53 alpha1 [222, 1] (w:1, o:194, a:1, s:1, b:1),
% 0.91/1.53 alpha2 [223, 2] (w:1, o:242, a:1, s:1, b:1),
% 0.91/1.53 alpha3 [224, 3] (w:1, o:271, a:1, s:1, b:1),
% 0.91/1.53 alpha4 [225, 3] (w:1, o:277, a:1, s:1, b:1),
% 0.91/1.53 alpha5 [226, 3] (w:1, o:278, a:1, s:1, b:1),
% 0.91/1.53 alpha6 [227, 3] (w:1, o:287, a:1, s:1, b:1),
% 0.91/1.53 alpha7 [228, 3] (w:1, o:288, a:1, s:1, b:1),
% 0.91/1.53 alpha8 [229, 3] (w:1, o:289, a:1, s:1, b:1),
% 0.91/1.53 alpha9 [230, 3] (w:1, o:290, a:1, s:1, b:1),
% 0.91/1.53 alpha10 [231, 3] (w:1, o:291, a:1, s:1, b:1),
% 0.91/1.53 alpha11 [232, 3] (w:1, o:292, a:1, s:1, b:1),
% 0.91/1.53 alpha12 [233, 3] (w:1, o:293, a:1, s:1, b:1),
% 0.91/1.53 alpha13 [234, 3] (w:1, o:294, a:1, s:1, b:1),
% 0.91/1.53 alpha14 [235, 3] (w:1, o:295, a:1, s:1, b:1),
% 0.91/1.53 alpha15 [236, 2] (w:1, o:237, a:1, s:1, b:1),
% 0.91/1.53 alpha16 [237, 2] (w:1, o:238, a:1, s:1, b:1),
% 0.91/1.53 alpha17 [238, 2] (w:1, o:239, a:1, s:1, b:1),
% 0.91/1.53 alpha18 [239, 2] (w:1, o:240, a:1, s:1, b:1),
% 0.91/1.53 alpha19 [240, 3] (w:1, o:296, a:1, s:1, b:1),
% 0.91/1.53 alpha20 [241, 3] (w:1, o:263, a:1, s:1, b:1),
% 0.91/1.53 alpha21 [242, 3] (w:1, o:264, a:1, s:1, b:1),
% 0.91/1.53 alpha22 [243, 3] (w:1, o:265, a:1, s:1, b:1),
% 0.91/1.53 alpha23 [244, 4] (w:1, o:305, a:1, s:1, b:1),
% 0.91/1.53 alpha24 [245, 4] (w:1, o:306, a:1, s:1, b:1),
% 0.91/1.53 alpha25 [246, 3] (w:1, o:266, a:1, s:1, b:1),
% 0.91/1.53 alpha26 [247, 3] (w:1, o:267, a:1, s:1, b:1),
% 0.91/1.53 alpha27 [248, 3] (w:1, o:268, a:1, s:1, b:1),
% 0.91/1.53 alpha28 [249, 3] (w:1, o:269, a:1, s:1, b:1),
% 0.91/1.53 alpha29 [250, 3] (w:1, o:270, a:1, s:1, b:1),
% 0.91/1.53 alpha30 [251, 3] (w:1, o:272, a:1, s:1, b:1),
% 0.91/1.53 alpha31 [252, 3] (w:1, o:273, a:1, s:1, b:1),
% 0.91/1.53 alpha32 [253, 3] (w:1, o:274, a:1, s:1, b:1),
% 0.91/1.53 alpha33 [254, 3] (w:1, o:275, a:1, s:1, b:1),
% 0.91/1.53 alpha34 [255, 3] (w:1, o:276, a:1, s:1, b:1),
% 0.91/1.53 alpha35 [256, 2] (w:1, o:243, a:1, s:1, b:1),
% 0.91/1.53 alpha36 [257, 4] (w:1, o:307, a:1, s:1, b:1),
% 0.91/1.53 alpha37 [258, 4] (w:1, o:308, a:1, s:1, b:1),
% 0.91/1.53 alpha38 [259, 4] (w:1, o:309, a:1, s:1, b:1),
% 0.91/1.53 alpha39 [260, 4] (w:1, o:310, a:1, s:1, b:1),
% 0.91/1.53 alpha40 [261, 4] (w:1, o:311, a:1, s:1, b:1),
% 0.91/1.53 alpha41 [262, 4] (w:1, o:312, a:1, s:1, b:1),
% 0.91/1.53 alpha42 [263, 4] (w:1, o:313, a:1, s:1, b:1),
% 0.91/1.53 alpha43 [264, 4] (w:1, o:314, a:1, s:1, b:1),
% 0.91/1.53 alpha44 [265, 4] (w:1, o:315, a:1, s:1, b:1),
% 0.91/1.53 alpha45 [266, 4] (w:1, o:316, a:1, s:1, b:1),
% 0.91/1.53 alpha46 [267, 4] (w:1, o:317, a:1, s:1, b:1),
% 0.91/1.53 alpha47 [268, 4] (w:1, o:318, a:1, s:1, b:1),
% 0.91/1.53 alpha48 [269, 2] (w:1, o:244, a:1, s:1, b:1),
% 0.91/1.53 alpha49 [270, 2] (w:1, o:245, a:1, s:1, b:1),
% 0.91/1.53 alpha50 [271, 3] (w:1, o:279, a:1, s:1, b:1),
% 0.91/1.53 alpha51 [272, 3] (w:1, o:280, a:1, s:1, b:1),
% 0.91/1.53 alpha52 [273, 3] (w:1, o:281, a:1, s:1, b:1),
% 0.91/1.53 alpha53 [274, 3] (w:1, o:282, a:1, s:1, b:1),
% 0.91/1.53 alpha54 [275, 4] (w:1, o:319, a:1, s:1, b:1),
% 0.91/1.53 alpha55 [276, 4] (w:1, o:320, a:1, s:1, b:1),
% 0.91/1.53 alpha56 [277, 3] (w:1, o:283, a:1, s:1, b:1),
% 0.91/1.53 alpha57 [278, 3] (w:1, o:284, a:1, s:1, b:1),
% 4.69/5.11 alpha58 [279, 3] (w:1, o:285, a:1, s:1, b:1),
% 4.69/5.11 alpha59 [280, 3] (w:1, o:286, a:1, s:1, b:1),
% 4.69/5.11 alpha60 [281, 4] (w:1, o:321, a:1, s:1, b:1),
% 4.69/5.11 alpha61 [282, 4] (w:1, o:322, a:1, s:1, b:1),
% 4.69/5.11 alpha62 [283, 4] (w:1, o:323, a:1, s:1, b:1),
% 4.69/5.11 alpha63 [284, 4] (w:1, o:324, a:1, s:1, b:1),
% 4.69/5.11 alpha64 [285, 4] (w:1, o:325, a:1, s:1, b:1),
% 4.69/5.11 alpha65 [286, 4] (w:1, o:326, a:1, s:1, b:1),
% 4.69/5.11 alpha66 [287, 4] (w:1, o:327, a:1, s:1, b:1),
% 4.69/5.11 alpha67 [288, 4] (w:1, o:328, a:1, s:1, b:1),
% 4.69/5.11 alpha68 [289, 4] (w:1, o:329, a:1, s:1, b:1),
% 4.69/5.11 alpha69 [290, 4] (w:1, o:330, a:1, s:1, b:1),
% 4.69/5.11 alpha70 [291, 4] (w:1, o:331, a:1, s:1, b:1),
% 4.69/5.11 alpha71 [292, 4] (w:1, o:332, a:1, s:1, b:1),
% 4.69/5.11 alpha72 [293, 4] (w:1, o:333, a:1, s:1, b:1),
% 4.69/5.11 alpha73 [294, 4] (w:1, o:334, a:1, s:1, b:1),
% 4.69/5.11 alpha74 [295, 4] (w:1, o:335, a:1, s:1, b:1),
% 4.69/5.11 alpha75 [296, 4] (w:1, o:336, a:1, s:1, b:1),
% 4.69/5.11 alpha76 [297, 4] (w:1, o:337, a:1, s:1, b:1),
% 4.69/5.11 alpha77 [298, 4] (w:1, o:338, a:1, s:1, b:1),
% 4.69/5.11 alpha78 [299, 4] (w:1, o:339, a:1, s:1, b:1),
% 4.69/5.11 alpha79 [300, 4] (w:1, o:340, a:1, s:1, b:1),
% 4.69/5.11 alpha80 [301, 4] (w:1, o:341, a:1, s:1, b:1),
% 4.69/5.11 alpha81 [302, 4] (w:1, o:342, a:1, s:1, b:1),
% 4.69/5.11 alpha82 [303, 4] (w:1, o:343, a:1, s:1, b:1),
% 4.69/5.11 alpha83 [304, 4] (w:1, o:344, a:1, s:1, b:1),
% 4.69/5.11 alpha84 [305, 4] (w:1, o:345, a:1, s:1, b:1),
% 4.69/5.11 alpha85 [306, 4] (w:1, o:346, a:1, s:1, b:1),
% 4.69/5.11 alpha86 [307, 4] (w:1, o:347, a:1, s:1, b:1),
% 4.69/5.11 alpha87 [308, 4] (w:1, o:348, a:1, s:1, b:1),
% 4.69/5.11 alpha88 [309, 4] (w:1, o:349, a:1, s:1, b:1),
% 4.69/5.11 alpha89 [310, 4] (w:1, o:350, a:1, s:1, b:1),
% 4.69/5.11 alpha90 [311, 4] (w:1, o:351, a:1, s:1, b:1),
% 4.69/5.11 alpha91 [312, 4] (w:1, o:352, a:1, s:1, b:1),
% 4.69/5.11 alpha92 [313, 4] (w:1, o:353, a:1, s:1, b:1),
% 4.69/5.11 alpha93 [314, 4] (w:1, o:354, a:1, s:1, b:1),
% 4.69/5.11 alpha94 [315, 4] (w:1, o:355, a:1, s:1, b:1),
% 4.69/5.11 alpha95 [316, 4] (w:1, o:356, a:1, s:1, b:1),
% 4.69/5.11 alpha96 [317, 4] (w:1, o:357, a:1, s:1, b:1),
% 4.69/5.11 alpha97 [318, 4] (w:1, o:358, a:1, s:1, b:1),
% 4.69/5.11 alpha98 [319, 4] (w:1, o:359, a:1, s:1, b:1),
% 4.69/5.11 alpha99 [320, 4] (w:1, o:360, a:1, s:1, b:1),
% 4.69/5.11 alpha100 [321, 4] (w:1, o:303, a:1, s:1, b:1),
% 4.69/5.11 alpha101 [322, 4] (w:1, o:304, a:1, s:1, b:1),
% 4.69/5.11 alpha102 [323, 3] (w:1, o:261, a:1, s:1, b:1),
% 4.69/5.11 alpha103 [324, 2] (w:1, o:241, a:1, s:1, b:1),
% 4.69/5.11 alpha104 [325, 3] (w:1, o:262, a:1, s:1, b:1),
% 4.69/5.11 skol1 [326, 1] (w:1, o:195, a:1, s:1, b:1),
% 4.69/5.11 skol2 [327, 1] (w:1, o:200, a:1, s:1, b:1),
% 4.69/5.11 skol3 [328, 0] (w:1, o:27, a:1, s:1, b:1),
% 4.69/5.11 skol4 [329, 0] (w:1, o:28, a:1, s:1, b:1),
% 4.69/5.11 skol5 [330, 0] (w:1, o:29, a:1, s:1, b:1),
% 4.69/5.11 skol6 [331, 1] (w:1, o:201, a:1, s:1, b:1),
% 4.69/5.11 skol7 [332, 1] (w:1, o:202, a:1, s:1, b:1),
% 4.69/5.11 skol8 [333, 0] (w:1, o:30, a:1, s:1, b:1),
% 4.69/5.11 skol9 [334, 1] (w:1, o:203, a:1, s:1, b:1),
% 4.69/5.11 skol10 [335, 0] (w:1, o:31, a:1, s:1, b:1),
% 4.69/5.11 skol11 [336, 0] (w:1, o:32, a:1, s:1, b:1),
% 4.69/5.11 skol12 [337, 0] (w:1, o:33, a:1, s:1, b:1),
% 4.69/5.11 skol13 [338, 1] (w:1, o:196, a:1, s:1, b:1),
% 4.69/5.11 skol14 [339, 0] (w:1, o:34, a:1, s:1, b:1),
% 4.69/5.11 skol15 [340, 1] (w:1, o:197, a:1, s:1, b:1),
% 4.69/5.11 skol16 [341, 3] (w:1, o:297, a:1, s:1, b:1),
% 4.69/5.11 skol17 [342, 2] (w:1, o:246, a:1, s:1, b:1),
% 4.69/5.11 skol18 [343, 1] (w:1, o:198, a:1, s:1, b:1),
% 4.69/5.11 skol19 [344, 1] (w:1, o:199, a:1, s:1, b:1),
% 4.69/5.11 skol20 [345, 3] (w:1, o:298, a:1, s:1, b:1),
% 4.69/5.11 skol21 [346, 2] (w:1, o:247, a:1, s:1, b:1),
% 4.69/5.11 skol22 [347, 2] (w:1, o:248, a:1, s:1, b:1),
% 4.69/5.11 skol23 [348, 1] (w:1, o:204, a:1, s:1, b:1),
% 4.69/5.11 skol24 [349, 2] (w:1, o:249, a:1, s:1, b:1),
% 4.69/5.11 skol25 [350, 3] (w:1, o:299, a:1, s:1, b:1),
% 4.69/5.11 skol26 [351, 3] (w:1, o:300, a:1, s:1, b:1),
% 4.69/5.11 skol27 [352, 0] (w:1, o:25, a:1, s:1, b:1),
% 4.69/5.11 skol28 [353, 0] (w:1, o:26, a:1, s:1, b:1),
% 4.69/5.11 skol29 [354, 2] (w:1, o:250, a:1, s:1, b:1),
% 4.69/5.11 skol30 [355, 1] (w:1, o:205, a:1, s:1, b:1),
% 4.69/5.11 skol31 [356, 2] (w:1, o:251, a:1, s:1, b:1),
% 4.69/5.11 skol32 [357, 3] (w:1, o:301, a:1, s:1, b:1),
% 4.69/5.11 skol33 [358, 3] (w:1, o:302, a:1, s:1, b:1),
% 4.69/5.11 skol34 [359, 2] (w:1, o:252, a:1, s:1, b:1),
% 4.69/5.11 skol35 [360, 2] (w:1, o:253, a:1, s:1, b:1).
% 4.69/5.11
% 4.69/5.11
% 4.69/5.11 Starting Search:
% 4.69/5.11
% 4.69/5.11 *** allocated 170857 integers for clauses
% 4.69/5.11 Resimplifying inuse:
% 4.69/5.11 Done
% 4.69/5.11
% 4.69/5.11 *** allocated 256285 integers for clauses
% 4.69/5.11
% 4.69/5.11 Intermediate Status:
% 4.69/5.11 Generated: 3117
% 4.69/5.11 Kept: 2187
% 4.69/5.11 Inuse: 71
% 4.69/5.11 Deleted: 0
% 4.69/5.11 Deletedinuse: 0
% 4.69/5.11
% 4.69/5.11 *** allocated 170857 integers for termspace/termends
% 4.69/5.11 *** allocated 384427 integers for clauses
% 4.69/5.11 Resimplifying inuse:
% 4.69/5.11 Done
% 4.69/5.11
% 4.69/5.11 Resimplifying inuse:
% 4.69/5.11 Done
% 4.69/5.11
% 4.69/5.11
% 4.69/5.11 Intermediate Status:
% 4.69/5.11 Generated: 8575
% 4.69/5.11 Kept: 4211
% 4.69/5.11 Inuse: 249
% 4.69/5.11 Deleted: 4
% 4.69/5.11 Deletedinuse: 2
% 4.69/5.11
% 4.69/5.11 *** allocated 576640 integers for clauses
% 4.69/5.11 *** allocated 256285 integers for termspace/termends
% 4.69/5.11 Resimplifying inuse:
% 4.69/5.11 Done
% 4.69/5.11
% 4.69/5.11 Resimplifying inuse:
% 4.69/5.11 Done
% 4.69/5.11
% 4.69/5.11
% 4.69/5.11 Intermediate Status:
% 4.69/5.11 Generated: 15740
% 4.69/5.11 Kept: 6231
% 4.69/5.11 Inuse: 338
% 4.69/5.11 Deleted: 5
% 4.69/5.11 Deletedinuse: 2
% 4.69/5.11
% 4.69/5.11 *** allocated 864960 integers for clauses
% 4.69/5.11 Resimplifying inuse:
% 4.69/5.11 Done
% 4.69/5.11
% 4.69/5.11 *** allocated 384427 integers for termspace/termends
% 4.69/5.11 Resimplifying inuse:
% 4.69/5.11 Done
% 4.69/5.11
% 4.69/5.11
% 4.69/5.11 Intermediate Status:
% 4.69/5.11 Generated: 23465
% 4.69/5.11 Kept: 8240
% 4.69/5.11 Inuse: 490
% 4.69/5.11 Deleted: 15
% 4.69/5.11 Deletedinuse: 2
% 4.69/5.11
% 4.69/5.11
% 4.69/5.11 Intermediate Status:
% 4.69/5.11 Generated: 28977
% 4.69/5.11 Kept: 10917
% 4.69/5.11 Inuse: 527
% 4.69/5.11 Deleted: 16
% 4.69/5.11 Deletedinuse: 2
% 4.69/5.11
% 4.69/5.11 Resimplifying inuse:
% 4.69/5.11 Done
% 4.69/5.11
% 4.69/5.11 Resimplifying inuse:
% 4.69/5.11 Done
% 4.69/5.11
% 4.69/5.11
% 4.69/5.11 Intermediate Status:
% 4.69/5.11 Generated: 36190
% 4.69/5.11 Kept: 12925
% 4.69/5.11 Inuse: 566
% 4.69/5.11 Deleted: 20
% 4.69/5.11 Deletedinuse: 2
% 4.69/5.11
% 4.69/5.11 *** allocated 1297440 integers for clauses
% 4.69/5.11 Resimplifying inuse:
% 4.69/5.11 Done
% 4.69/5.11
% 4.69/5.11 *** allocated 576640 integers for termspace/termends
% 4.69/5.11
% 4.69/5.11 Intermediate Status:
% 4.69/5.11 Generated: 45644
% 4.69/5.11 Kept: 15649
% 4.69/5.11 Inuse: 619
% 4.69/5.11 Deleted: 24
% 4.69/5.11 Deletedinuse: 2
% 4.69/5.11
% 4.69/5.11 Resimplifying inuse:
% 4.69/5.11 Done
% 4.69/5.11
% 4.69/5.11 Resimplifying inuse:
% 4.69/5.11 Done
% 4.69/5.11
% 4.69/5.11
% 4.69/5.11 Intermediate Status:
% 4.69/5.11 Generated: 56429
% 4.69/5.11 Kept: 17658
% 4.69/5.11 Inuse: 631
% 4.69/5.11 Deleted: 24
% 4.69/5.11 Deletedinuse: 2
% 4.69/5.11
% 4.69/5.11 Resimplifying inuse:
% 4.69/5.11 Done
% 4.69/5.11
% 4.69/5.11
% 4.69/5.11 Intermediate Status:
% 4.69/5.11 Generated: 70842
% 4.69/5.11 Kept: 20387
% 4.69/5.11 Inuse: 639
% 4.69/5.11 Deleted: 24
% 4.69/5.11 Deletedinuse: 2
% 4.69/5.11
% 4.69/5.11 Resimplifying inuse:
% 4.69/5.11 Done
% 4.69/5.11
% 4.69/5.11 Resimplifying clauses:
% 4.69/5.11
% 4.69/5.11 Bliksems!, er is een bewijs:
% 4.69/5.11 % SZS status Theorem
% 4.69/5.11 % SZS output start Refutation
% 4.69/5.11
% 4.69/5.11 (1) {G0,W26,D5,L2,V4,M2} I { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Z, Y ) ), X ),
% 4.69/5.11 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, T ) ),
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs
% 4.69/5.11 ( tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Z, T
% 4.69/5.11 ) ), X ) ) }.
% 4.69/5.11 (4) {G0,W42,D9,L1,V0,M1} I { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.69/5.11 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.69/5.11 ( tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ),
% 4.69/5.11 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.69/5.11 ( tc_Complex_Ocomplex, v_p, v_z____ ) ) ) ),
% 4.69/5.11 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 4.69/5.11 tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ),
% 4.69/5.11 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, v_z____ ) ) ) ) }.
% 4.69/5.11 (11) {G0,W20,D7,L1,V1,M1} I { c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal
% 4.69/5.11 , c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 4.69/5.11 c_Int_OBit1( c_Int_OPls ) ) ) ), c_Rings_Oinverse__class_Odivide(
% 4.69/5.11 tc_RealDef_Oreal, X, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 4.69/5.11 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ==> X }.
% 4.69/5.11 (15) {G0,W15,D6,L2,V2,M2} I { ! class_Int_Onumber__ring( X ),
% 4.69/5.11 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 4.69/5.11 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ), Y ) =
% 4.69/5.11 c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 4.69/5.11 (1588) {G0,W2,D2,L1,V0,M1} I { class_Int_Onumber__ring( tc_RealDef_Oreal )
% 4.69/5.11 }.
% 4.69/5.11 (1634) {G0,W68,D10,L1,V0,M1} I { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 4.69/5.11 c_Int_OBit1( c_Int_OPls ) ) ), c_Rings_Oinverse__class_Odivide(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.69/5.11 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.69/5.11 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 4.69/5.11 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Int_Onumber__class_Onumber__of(
% 4.69/5.11 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ),
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs
% 4.69/5.11 ( tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.69/5.11 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.69/5.11 ( tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ),
% 4.69/5.11 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) ),
% 4.69/5.11 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 4.69/5.11 tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ),
% 4.69/5.11 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, v_z____ ) ) ) ) ) }.
% 4.69/5.11 (1940) {G1,W50,D10,L1,V1,M1} R(4,1) { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.69/5.11 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.69/5.11 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), X ) ),
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs
% 4.69/5.11 ( tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.69/5.11 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.69/5.11 ( tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ), X
% 4.69/5.11 ) ), c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 4.69/5.11 tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ),
% 4.69/5.11 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, v_z____ ) ) ) ) ) }.
% 4.69/5.11 (2224) {G1,W17,D7,L1,V1,M1} P(15,11);r(1588) {
% 4.69/5.11 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 4.69/5.11 c_Int_OBit1( c_Int_OPls ) ) ), c_Rings_Oinverse__class_Odivide(
% 4.69/5.11 tc_RealDef_Oreal, X, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 4.69/5.11 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ==> X }.
% 4.69/5.11 (20401) {G2,W0,D0,L0,V0,M0} S(1634);d(2224);r(1940) { }.
% 4.69/5.11
% 4.69/5.11
% 4.69/5.11 % SZS output end Refutation
% 4.69/5.11 found a proof!
% 4.69/5.11
% 4.69/5.11 *** allocated 864960 integers for termspace/termends
% 4.69/5.11
% 4.69/5.11 Unprocessed initial clauses:
% 4.69/5.11
% 4.69/5.11 (20403) {G0,W2,D2,L1,V0,M1} { c_SEQ_Osubseq( v_f____ ) }.
% 4.69/5.11 (20404) {G0,W26,D5,L2,V4,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Z, Y ) ), X ),
% 4.69/5.11 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, T ) ),
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs
% 4.69/5.11 ( tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Z, T
% 4.69/5.11 ) ), X ) ) }.
% 4.69/5.11 (20405) {G0,W54,D10,L1,V0,M1} { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.69/5.11 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.69/5.11 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 4.69/5.11 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Groups_Oplus__class_Oplus(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.69/5.11 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.69/5.11 ( tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ),
% 4.69/5.11 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) ),
% 4.69/5.11 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 4.69/5.11 tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ),
% 4.69/5.11 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, v_z____ ) ) ) ) ) }.
% 4.69/5.11 (20406) {G0,W12,D5,L1,V1,M1} { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 4.69/5.11 v_s____ ), c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.69/5.11 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, v_g____( X ) ) ) ) }.
% 4.69/5.11 (20407) {G0,W17,D7,L1,V0,M1} { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 4.69/5.11 v_s____ ), c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.69/5.11 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ) )
% 4.69/5.11 }.
% 4.69/5.11 (20408) {G0,W42,D9,L1,V0,M1} { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.69/5.11 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.69/5.11 ( tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ),
% 4.69/5.11 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.69/5.11 ( tc_Complex_Ocomplex, v_p, v_z____ ) ) ) ),
% 4.69/5.11 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 4.69/5.11 tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ),
% 4.69/5.11 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, v_z____ ) ) ) ) }.
% 4.69/5.11 (20409) {G0,W7,D4,L1,V1,M1} { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.69/5.11 v_g____( X ) ), v_r ) }.
% 4.69/5.11 (20410) {G0,W40,D8,L1,V0,M1} { c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 4.69/5.11 tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ),
% 4.69/5.11 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, v_z____ ) ) ),
% 4.69/5.11 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.69/5.11 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.69/5.11 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 4.69/5.11 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Int_Onumber__class_Onumber__of(
% 4.69/5.11 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 4.69/5.11 (20411) {G0,W41,D9,L1,V0,M1} { c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.69/5.11 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.69/5.11 ( tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ),
% 4.69/5.11 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) ),
% 4.69/5.11 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.69/5.11 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.69/5.11 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 4.69/5.11 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Int_Onumber__class_Onumber__of(
% 4.69/5.11 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 4.69/5.11 (20412) {G0,W26,D7,L1,V2,M1} { c_Groups_Ominus__class_Ominus(
% 4.69/5.11 tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 4.69/5.11 c_Int_OBit1( c_Int_OPls ) ) ) ), Y ) = c_Rings_Oinverse__class_Odivide(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y )
% 4.69/5.11 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 4.69/5.11 c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 4.69/5.11 (20413) {G0,W26,D7,L1,V2,M1} { c_Groups_Ominus__class_Ominus(
% 4.69/5.11 tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 4.69/5.11 c_Int_OBit1( c_Int_OPls ) ) ) ), X ) = c_Rings_Oinverse__class_Odivide(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X )
% 4.69/5.11 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 4.69/5.11 c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 4.69/5.11 (20414) {G0,W32,D6,L3,V4,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, Y, X ), ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, T, Z ) ), X ), !
% 4.69/5.11 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 4.69/5.11 c_Int_OBit1( c_Int_OPls ) ) ), X ), c_Groups_Oplus__class_Oplus(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, T, Z ) ), Y ) ) }.
% 4.69/5.11 (20415) {G0,W20,D7,L1,V1,M1} { c_Groups_Oplus__class_Oplus(
% 4.69/5.11 tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 4.69/5.11 c_Int_OBit1( c_Int_OPls ) ) ) ), c_Rings_Oinverse__class_Odivide(
% 4.69/5.11 tc_RealDef_Oreal, X, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 4.69/5.11 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) = X }.
% 4.69/5.11 (20416) {G0,W26,D7,L2,V3,M2} { ! Z = c_Rings_Oinverse__class_Odivide(
% 4.69/5.11 tc_RealDef_Oreal, Y, c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 4.69/5.11 c_Int_OBit1( c_Int_OPls ) ) ), X ) ), c_Groups_Otimes__class_Otimes(
% 4.69/5.11 tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 4.69/5.11 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ), Z ) =
% 4.69/5.11 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) }.
% 4.69/5.11 (20417) {G0,W26,D7,L2,V3,M2} { ! c_Groups_Otimes__class_Otimes(
% 4.69/5.11 tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 4.69/5.11 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ), Z ) =
% 4.69/5.11 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ), Z =
% 4.69/5.11 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y,
% 4.69/5.11 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 4.69/5.11 c_Int_OBit1( c_Int_OPls ) ) ), X ) ) }.
% 4.69/5.11 (20418) {G0,W15,D6,L2,V2,M2} { ! class_Int_Onumber__ring( X ),
% 4.69/5.11 c_Groups_Otimes__class_Otimes( X, Y, c_Int_Onumber__class_Onumber__of( X
% 4.69/5.11 , c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) =
% 4.69/5.11 c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 4.69/5.11 (20419) {G0,W15,D6,L2,V2,M2} { ! class_Int_Onumber__ring( X ),
% 4.69/5.11 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 4.69/5.11 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ), Y ) =
% 4.69/5.11 c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 4.69/5.11 (20420) {G0,W25,D7,L1,V0,M1} { c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 4.69/5.11 c_Int_OBit1( c_Int_OPls ) ) ), c_Groups_Oabs__class_Oabs(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.69/5.11 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.69/5.11 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 4.69/5.11 ( tc_RealDef_Oreal, v_s____ ) ) ) ), c_RealDef_Oreal( tc_Nat_Onat,
% 4.69/5.11 v_N2____ ) ) }.
% 4.69/5.11 (20421) {G0,W6,D3,L1,V0,M1} { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.69/5.11 v_w____ ), v_r ) }.
% 4.69/5.11 (20422) {G0,W17,D4,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X
% 4.69/5.11 ), v_r ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 4.69/5.11 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.69/5.11 ( tc_Complex_Ocomplex, v_p, X ) ) ) }.
% 4.69/5.11 (20423) {G0,W20,D4,L3,V3,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_RealDef_Oreal, Y, X ), ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, X, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, Z
% 4.69/5.11 ) ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y ) ), Z ) }.
% 4.69/5.11 (20424) {G0,W5,D3,L1,V0,M1} { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), v_r )
% 4.69/5.11 }.
% 4.69/5.11 (20425) {G0,W10,D2,L3,V2,M3} { ! alpha1( Y ), !
% 4.69/5.11 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, Y ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, v_s____ ) }.
% 4.69/5.11 (20426) {G0,W7,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, X, v_s____ ), alpha1( skol1( Y ) ) }.
% 4.69/5.11 (20427) {G0,W9,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, X, v_s____ ), c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, X, skol1( X ) ) }.
% 4.69/5.11 (20428) {G0,W9,D4,L2,V2,M2} { ! alpha1( X ),
% 4.69/5.11 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.69/5.11 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol2( Y ) ), v_r )
% 4.69/5.11 }.
% 4.69/5.11 (20429) {G0,W13,D5,L2,V1,M2} { ! alpha1( X ),
% 4.69/5.11 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.69/5.11 ( tc_Complex_Ocomplex, v_p, skol2( X ) ) ) =
% 4.69/5.11 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) }.
% 4.69/5.11 (20430) {G0,W18,D4,L3,V2,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y
% 4.69/5.11 ), v_r ), ! c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.69/5.11 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, Y ) ) =
% 4.69/5.11 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ), alpha1( X ) }.
% 4.69/5.11 (20431) {G0,W17,D6,L1,V0,M1} { c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 4.69/5.11 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.69/5.11 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.69/5.11 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 4.69/5.11 ( tc_RealDef_Oreal, v_s____ ) ) ) ) }.
% 4.69/5.11 (20432) {G0,W16,D3,L4,V3,M4} { ! class_Int_Onumber__ring( X ), !
% 4.69/5.11 class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Z ),
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Orderings_Oord__class_Oless
% 4.69/5.11 ( tc_Int_Oint, Z, Y ) }.
% 4.69/5.11 (20433) {G0,W16,D3,L4,V3,M4} { ! class_Int_Onumber__ring( X ), !
% 4.69/5.11 class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_Int_Oint, Z, Y ), c_Orderings_Oord__class_Oless( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Z ),
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 4.69/5.11 (20434) {G0,W6,D3,L1,V1,M1} { c_Groups_Oplus__class_Oplus( tc_Int_Oint, X
% 4.69/5.11 , c_Int_OPls ) = X }.
% 4.69/5.11 (20435) {G0,W6,D3,L1,V1,M1} { c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 4.69/5.11 c_Int_OPls, X ) = X }.
% 4.69/5.11 (20436) {G0,W12,D4,L1,V2,M1} { c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 4.69/5.11 c_Int_OBit0( Y ), c_Int_OBit0( X ) ) = c_Int_OBit0(
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 4.69/5.11 (20437) {G0,W7,D3,L1,V1,M1} { c_Int_OBit0( X ) =
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, X ) }.
% 4.69/5.11 (20438) {G0,W6,D3,L1,V1,M1} { c_Groups_Otimes__class_Otimes( tc_Int_Oint,
% 4.69/5.11 c_Int_OPls, X ) = c_Int_OPls }.
% 4.69/5.11 (20439) {G0,W11,D4,L1,V2,M1} { c_Groups_Otimes__class_Otimes( tc_Int_Oint
% 4.69/5.11 , c_Int_OBit0( Y ), X ) = c_Int_OBit0( c_Groups_Otimes__class_Otimes(
% 4.69/5.11 tc_Int_Oint, Y, X ) ) }.
% 4.69/5.11 (20440) {G0,W14,D5,L1,V2,M1} { c_Groups_Otimes__class_Otimes( tc_Int_Oint
% 4.69/5.11 , c_Int_OBit1( Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 4.69/5.11 c_Int_OBit0( c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ), X )
% 4.69/5.11 }.
% 4.69/5.11 (20441) {G0,W20,D3,L4,V3,M4} { ! class_Int_Onumber( X ), !
% 4.69/5.11 class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Z ),
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ) ), !
% 4.69/5.11 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 4.69/5.11 ), c_Int_Onumber__class_Onumber__of( X, Z ) ) }.
% 4.69/5.11 (20442) {G0,W20,D3,L4,V3,M4} { ! class_Int_Onumber( X ), !
% 4.69/5.11 class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ),
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Z ) ),
% 4.69/5.11 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 4.69/5.11 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 4.69/5.11 (20443) {G0,W12,D4,L1,V2,M1} { c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 4.69/5.11 c_Int_OBit1( Y ), c_Int_OBit0( X ) ) = c_Int_OBit1(
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 4.69/5.11 (20444) {G0,W12,D4,L1,V2,M1} { c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 4.69/5.11 c_Int_OBit0( Y ), c_Int_OBit1( X ) ) = c_Int_OBit1(
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 4.69/5.11 (20445) {G0,W18,D4,L3,V4,M3} { ! class_Rings_Olinordered__idom( X ), !
% 4.69/5.11 c_Orderings_Oord__class_Oless( X, c_Groups_Oabs__class_Oabs( X,
% 4.69/5.11 c_Groups_Ominus__class_Ominus( X, T, Z ) ), Y ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( X, c_Groups_Ominus__class_Ominus( X, Z, Y
% 4.69/5.11 ), T ) }.
% 4.69/5.11 (20446) {G0,W18,D4,L3,V4,M3} { ! class_Rings_Olinordered__idom( X ), !
% 4.69/5.11 c_Orderings_Oord__class_Oless( X, c_Groups_Oabs__class_Oabs( X,
% 4.69/5.11 c_Groups_Ominus__class_Ominus( X, T, Z ) ), Y ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y
% 4.69/5.11 ) ) }.
% 4.69/5.11 (20447) {G0,W25,D4,L4,V4,M4} { ! class_Rings_Olinordered__idom( X ), !
% 4.69/5.11 c_Orderings_Oord__class_Oless( X, c_Groups_Ominus__class_Ominus( X, Z, Y
% 4.69/5.11 ), T ), ! c_Orderings_Oord__class_Oless( X, T,
% 4.69/5.11 c_Groups_Oplus__class_Oplus( X, Z, Y ) ), c_Orderings_Oord__class_Oless(
% 4.69/5.11 X, c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, T, Z )
% 4.69/5.11 ), Y ) }.
% 4.69/5.11 (20448) {G0,W16,D5,L1,V2,M1} { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y
% 4.69/5.11 ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 4.69/5.11 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, Y, X ) ),
% 4.69/5.11 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ) ) }.
% 4.69/5.11 (20449) {G0,W14,D3,L4,V3,M4} { ! class_Int_Onumber__ring( X ), !
% 4.69/5.11 class_Int_Oring__char__0( X ), ! c_Int_Onumber__class_Onumber__of( X, Z )
% 4.69/5.11 = c_Int_Onumber__class_Onumber__of( X, Y ), Z = Y }.
% 4.69/5.11 (20450) {G0,W14,D3,L4,V3,M4} { ! class_Int_Onumber__ring( X ), !
% 4.69/5.11 class_Int_Oring__char__0( X ), ! Z = Y, c_Int_Onumber__class_Onumber__of
% 4.69/5.11 ( X, Z ) = c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 4.69/5.11 (20451) {G0,W12,D3,L3,V3,M3} { ! class_Int_Onumber( X ), !
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Z ) = Y, Y =
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Z ) }.
% 4.69/5.11 (20452) {G0,W12,D3,L3,V3,M3} { ! class_Int_Onumber( X ), ! Y =
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Z ),
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Z ) = Y }.
% 4.69/5.11 (20453) {G0,W8,D3,L2,V2,M2} { ! c_Int_OBit1( Y ) = c_Int_OBit1( X ), Y = X
% 4.69/5.11 }.
% 4.69/5.11 (20454) {G0,W8,D3,L2,V2,M2} { ! Y = X, c_Int_OBit1( Y ) = c_Int_OBit1( X )
% 4.69/5.11 }.
% 4.69/5.11 (20455) {G0,W8,D3,L2,V2,M2} { ! c_Int_OBit0( Y ) = c_Int_OBit0( X ), Y = X
% 4.69/5.11 }.
% 4.69/5.11 (20456) {G0,W8,D3,L2,V2,M2} { ! Y = X, c_Int_OBit0( Y ) = c_Int_OBit0( X )
% 4.69/5.11 }.
% 4.69/5.11 (20457) {G0,W16,D3,L4,V3,M4} { ! class_Int_Onumber__ring( X ), !
% 4.69/5.11 class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 X, c_Int_Onumber__class_Onumber__of( X, Z ),
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 4.69/5.11 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z, Y ) }.
% 4.69/5.11 (20458) {G0,W16,D3,L4,V3,M4} { ! class_Int_Onumber__ring( X ), !
% 4.69/5.11 class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_Int_Oint, Z, Y ), c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Z ),
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 4.69/5.11 (20459) {G0,W23,D5,L2,V4,M2} { ! class_Int_Onumber__ring( X ),
% 4.69/5.11 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 4.69/5.11 ), c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X
% 4.69/5.11 , Z ), Y ) ) = c_Groups_Otimes__class_Otimes( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, c_Groups_Otimes__class_Otimes(
% 4.69/5.11 tc_Int_Oint, T, Z ) ), Y ) }.
% 4.69/5.11 (20460) {G0,W17,D4,L2,V3,M2} { ! class_Int_Onumber__ring( X ),
% 4.69/5.11 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Z
% 4.69/5.11 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, c_Groups_Otimes__class_Otimes(
% 4.69/5.11 tc_Int_Oint, Z, Y ) ) }.
% 4.69/5.11 (20461) {G0,W17,D4,L2,V3,M2} { ! class_Int_Onumber__ring( X ),
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, c_Groups_Otimes__class_Otimes(
% 4.69/5.11 tc_Int_Oint, Z, Y ) ) = c_Groups_Otimes__class_Otimes( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Z ),
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 4.69/5.11 (20462) {G0,W23,D5,L2,V4,M2} { ! class_Int_Onumber__ring( X ),
% 4.69/5.11 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X, T )
% 4.69/5.11 , c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X, Z
% 4.69/5.11 ), Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 4.69/5.11 tc_Int_Oint, T, Z ) ), Y ) }.
% 4.69/5.11 (20463) {G0,W17,D4,L2,V3,M2} { ! class_Int_Onumber__ring( X ),
% 4.69/5.11 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X, Z )
% 4.69/5.11 , c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 4.69/5.11 tc_Int_Oint, Z, Y ) ) }.
% 4.69/5.11 (20464) {G0,W17,D4,L2,V3,M2} { ! class_Int_Onumber__ring( X ),
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 4.69/5.11 tc_Int_Oint, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Z ),
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 4.69/5.11 (20465) {G0,W23,D4,L2,V5,M2} { ! class_Groups_Oab__group__add( X ),
% 4.69/5.11 c_Groups_Ominus__class_Ominus( X, c_Groups_Oplus__class_Oplus( X, U, T )
% 4.69/5.11 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 4.69/5.11 ( X, c_Groups_Ominus__class_Ominus( X, U, Z ),
% 4.69/5.11 c_Groups_Ominus__class_Ominus( X, T, Y ) ) }.
% 4.69/5.11 (20466) {G0,W17,D4,L2,V3,M2} { ! class_Int_Onumber__ring( X ),
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, c_Groups_Ominus__class_Ominus(
% 4.69/5.11 tc_Int_Oint, Z, Y ) ) = c_Groups_Ominus__class_Ominus( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Z ),
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 4.69/5.11 (20467) {G0,W13,D4,L2,V2,M2} { ! class_Int_Onumber__ring( X ),
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, c_Groups_Ouminus__class_Ouminus(
% 4.69/5.11 tc_Int_Oint, Y ) ) = c_Groups_Ouminus__class_Ouminus( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 4.69/5.11 (20468) {G0,W13,D4,L2,V2,M2} { ! class_Int_Onumber__ring( X ),
% 4.69/5.11 c_Groups_Ouminus__class_Ouminus( X, c_Int_Onumber__class_Onumber__of( X,
% 4.69/5.11 Y ) ) = c_Int_Onumber__class_Onumber__of( X,
% 4.69/5.11 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) }.
% 4.69/5.11 (20469) {G0,W4,D3,L1,V1,M1} { ! c_Int_OBit1( X ) = c_Int_OPls }.
% 4.69/5.11 (20470) {G0,W4,D3,L1,V1,M1} { ! c_Int_OPls = c_Int_OBit1( X ) }.
% 4.69/5.11 (20471) {G0,W5,D3,L1,V2,M1} { ! c_Int_OBit1( Y ) = c_Int_OBit0( X ) }.
% 4.69/5.11 (20472) {G0,W5,D3,L1,V2,M1} { ! c_Int_OBit0( Y ) = c_Int_OBit1( X ) }.
% 4.69/5.11 (20473) {G0,W7,D3,L2,V1,M2} { ! c_Int_OBit0( X ) = c_Int_OPls, X =
% 4.69/5.11 c_Int_OPls }.
% 4.69/5.11 (20474) {G0,W7,D3,L2,V1,M2} { ! X = c_Int_OPls, c_Int_OBit0( X ) =
% 4.69/5.11 c_Int_OPls }.
% 4.69/5.11 (20475) {G0,W7,D3,L2,V1,M2} { ! c_Int_OPls = c_Int_OBit0( X ), c_Int_OPls
% 4.69/5.11 = X }.
% 4.69/5.11 (20476) {G0,W7,D3,L2,V1,M2} { ! c_Int_OPls = X, c_Int_OPls = c_Int_OBit0(
% 4.69/5.11 X ) }.
% 4.69/5.11 (20477) {G0,W4,D3,L1,V0,M1} { c_Int_OBit0( c_Int_OPls ) = c_Int_OPls }.
% 4.69/5.11 (20478) {G0,W28,D5,L3,V4,M3} { ! class_Int_Onumber( X ), !
% 4.69/5.11 class_Rings_Osemiring( X ), c_Groups_Otimes__class_Otimes( X,
% 4.69/5.11 c_Groups_Oplus__class_Oplus( X, T, Z ), c_Int_Onumber__class_Onumber__of
% 4.69/5.11 ( X, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 4.69/5.11 c_Groups_Otimes__class_Otimes( X, T, c_Int_Onumber__class_Onumber__of( X
% 4.69/5.11 , Y ) ), c_Groups_Otimes__class_Otimes( X, Z,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 4.69/5.11 (20479) {G0,W28,D5,L3,V4,M3} { ! class_Int_Onumber( X ), !
% 4.69/5.11 class_Rings_Osemiring( X ), c_Groups_Otimes__class_Otimes( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Oplus__class_Oplus( X
% 4.69/5.11 , Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 4.69/5.11 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 4.69/5.11 ), Z ), c_Groups_Otimes__class_Otimes( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, T ), Y ) ) }.
% 4.69/5.11 (20480) {G0,W28,D5,L3,V4,M3} { ! class_Int_Onumber( X ), !
% 4.69/5.11 class_Rings_Oring( X ), c_Groups_Otimes__class_Otimes( X,
% 4.69/5.11 c_Groups_Ominus__class_Ominus( X, T, Z ),
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 4.69/5.11 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, T,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Groups_Otimes__class_Otimes
% 4.69/5.11 ( X, Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 4.69/5.11 (20481) {G0,W28,D5,L3,V4,M3} { ! class_Int_Onumber( X ), !
% 4.69/5.11 class_Rings_Oring( X ), c_Groups_Otimes__class_Otimes( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Ominus__class_Ominus(
% 4.69/5.11 X, Z, Y ) ) = c_Groups_Ominus__class_Ominus( X,
% 4.69/5.11 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 4.69/5.11 ), Z ), c_Groups_Otimes__class_Otimes( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, T ), Y ) ) }.
% 4.69/5.11 (20482) {G0,W23,D5,L2,V4,M2} { ! class_Int_Onumber__ring( X ),
% 4.69/5.11 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X, T )
% 4.69/5.11 , c_Groups_Ominus__class_Ominus( X, c_Int_Onumber__class_Onumber__of( X,
% 4.69/5.11 Z ), Y ) ) = c_Groups_Ominus__class_Ominus( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 4.69/5.11 tc_Int_Oint, T, Z ) ), Y ) }.
% 4.69/5.11 (20483) {G0,W19,D5,L2,V3,M2} { ! class_Int_Onumber__ring( X ),
% 4.69/5.11 c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Z ) ), Y ) =
% 4.69/5.11 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 4.69/5.11 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Z ) ), Y ) }.
% 4.69/5.11 (20484) {G0,W10,D4,L2,V2,M2} { ! class_Int_Onumber__ring( X ),
% 4.69/5.11 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X,
% 4.69/5.11 c_Int_OPls ), Y ) = Y }.
% 4.69/5.11 (20485) {G0,W10,D4,L2,V2,M2} { ! class_Int_Onumber__ring( X ),
% 4.69/5.11 c_Groups_Oplus__class_Oplus( X, Y, c_Int_Onumber__class_Onumber__of( X,
% 4.69/5.11 c_Int_OPls ) ) = Y }.
% 4.69/5.11 (20486) {G0,W45,D7,L1,V3,M1} { c_Groups_Ominus__class_Ominus(
% 4.69/5.11 tc_RealDef_Oreal, hAPP( Z, Y ), c_Groups_Otimes__class_Otimes(
% 4.69/5.11 tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ), hAPP( Z, Y
% 4.69/5.11 ) ), c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y ) ), Y ) ) =
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ),
% 4.69/5.11 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 4.69/5.11 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ), hAPP( Z, Y
% 4.69/5.11 ) ), c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y ) ), X ) )
% 4.69/5.11 }.
% 4.69/5.11 (20487) {G0,W38,D6,L2,V6,M2} { ! class_RealVector_Oreal__field( X ),
% 4.69/5.11 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X,
% 4.69/5.11 c_Groups_Otimes__class_Otimes( X, W, U ), c_Groups_Otimes__class_Otimes(
% 4.69/5.11 X, T, Z ) ), Y ) = c_Groups_Oplus__class_Oplus( X,
% 4.69/5.11 c_Groups_Otimes__class_Otimes( X, W, c_Rings_Oinverse__class_Odivide( X,
% 4.69/5.11 c_Groups_Ominus__class_Ominus( X, U, Z ), Y ) ),
% 4.69/5.11 c_Groups_Otimes__class_Otimes( X, c_Rings_Oinverse__class_Odivide( X,
% 4.69/5.11 c_Groups_Ominus__class_Ominus( X, W, T ), Y ), Z ) ) }.
% 4.69/5.11 (20488) {G0,W11,D5,L2,V2,M2} { ! class_Int_Onumber__ring( X ),
% 4.69/5.11 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 4.69/5.11 c_Int_OBit1( c_Int_OPls ) ), Y ) = Y }.
% 4.69/5.11 (20489) {G0,W11,D5,L2,V2,M2} { ! class_Int_Onumber__ring( X ),
% 4.69/5.11 c_Groups_Otimes__class_Otimes( X, Y, c_Int_Onumber__class_Onumber__of( X
% 4.69/5.11 , c_Int_OBit1( c_Int_OPls ) ) ) = Y }.
% 4.69/5.11 (20490) {G0,W13,D5,L3,V2,M3} { ! class_Fields_Ofield( X ), !
% 4.69/5.11 class_Int_Onumber__ring( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ) ) = Y
% 4.69/5.11 }.
% 4.69/5.11 (20491) {G0,W13,D5,L3,V2,M3} { ! class_Fields_Ofield( X ), !
% 4.69/5.11 class_Int_Onumber__ring( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ) ) = Y
% 4.69/5.11 }.
% 4.69/5.11 (20492) {G0,W43,D7,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ),
% 4.69/5.11 v_d____ ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.11 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 4.69/5.11 tc_Complex_Ocomplex, v_p, X ), c_Polynomial_Opoly( tc_Complex_Ocomplex,
% 4.69/5.11 v_p, v_z____ ) ) ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.69/5.11 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.69/5.11 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 4.69/5.11 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Int_Onumber__class_Onumber__of(
% 4.69/5.11 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 4.69/5.11 (20493) {G0,W25,D7,L1,V0,M1} { c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 4.69/5.11 c_Int_OBit1( c_Int_OPls ) ) ), c_Groups_Oabs__class_Oabs(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.69/5.11 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.69/5.11 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 4.69/5.11 ( tc_RealDef_Oreal, v_s____ ) ) ) ), c_RealDef_Oreal( tc_Nat_Onat, skol3
% 4.69/5.11 ) ) }.
% 4.69/5.11 (20494) {G0,W25,D7,L1,V0,M1} { c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 4.69/5.11 c_Int_OBit1( c_Int_OPls ) ) ), c_Groups_Oabs__class_Oabs(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.69/5.11 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.69/5.11 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 4.69/5.11 ( tc_RealDef_Oreal, v_s____ ) ) ) ), c_RealDef_Oreal( tc_Nat_Onat, skol4
% 4.69/5.11 ) ) }.
% 4.69/5.11 (20495) {G0,W29,D7,L1,V0,M1} { c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 4.69/5.11 c_Int_OBit1( c_Int_OPls ) ) ), c_Groups_Oabs__class_Oabs(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.69/5.11 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.69/5.11 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 4.69/5.11 ( tc_RealDef_Oreal, v_s____ ) ) ) ), c_RealDef_Oreal( tc_Nat_Onat,
% 4.69/5.11 c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____
% 4.69/5.11 ) ) ) ) }.
% 4.69/5.11 (20496) {G0,W24,D7,L1,V0,M1} { c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 4.69/5.11 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.69/5.11 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.69/5.11 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 4.69/5.11 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Int_Onumber__class_Onumber__of(
% 4.69/5.11 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 4.69/5.11 (20497) {G0,W25,D4,L3,V1,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X
% 4.69/5.11 ), v_r ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.11 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.69/5.11 ( tc_Complex_Ocomplex, v_p, X ) ), c_Groups_Ouminus__class_Ouminus(
% 4.69/5.11 tc_RealDef_Oreal, v_s____ ) ), c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 4.69/5.11 v_s____ ), c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) )
% 4.69/5.11 }.
% 4.69/5.11 (20498) {G0,W14,D3,L2,V0,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 4.69/5.11 v_s____ ), c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) )
% 4.69/5.11 , c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.69/5.11 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol5 ), v_r ) }.
% 4.69/5.11 (20499) {G0,W19,D4,L2,V0,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 4.69/5.11 v_s____ ), c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) )
% 4.69/5.11 , c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.11 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.69/5.11 ( tc_Complex_Ocomplex, v_p, skol5 ) ), c_Groups_Ouminus__class_Ouminus(
% 4.69/5.11 tc_RealDef_Oreal, v_s____ ) ) }.
% 4.69/5.11 (20500) {G0,W21,D4,L3,V2,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y
% 4.69/5.11 ), v_r ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.11 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.69/5.11 ( tc_Complex_Ocomplex, v_p, Y ) ), X ), c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 4.69/5.11 v_s____ ), X ) }.
% 4.69/5.11 (20501) {G0,W13,D4,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 4.69/5.11 v_s____ ), X ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.69/5.11 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol6( Y ) ), v_r )
% 4.69/5.11 }.
% 4.69/5.11 (20502) {G0,W16,D5,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 4.69/5.11 v_s____ ), X ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.11 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.69/5.11 ( tc_Complex_Ocomplex, v_p, skol6( X ) ) ), X ) }.
% 4.69/5.11 (20503) {G0,W25,D6,L3,V2,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y
% 4.69/5.11 ), v_r ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 4.69/5.11 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.69/5.11 ( tc_Complex_Ocomplex, v_p, Y ) ) ) ), X ), c_Orderings_Oord__class_Oless
% 4.69/5.11 ( tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 4.69/5.11 v_s____ ), X ) }.
% 4.69/5.11 (20504) {G0,W13,D4,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 4.69/5.11 v_s____ ), X ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.69/5.11 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol7( Y ) ), v_r )
% 4.69/5.11 }.
% 4.69/5.11 (20505) {G0,W20,D7,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 4.69/5.11 v_s____ ), X ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 4.69/5.11 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.69/5.11 ( tc_Complex_Ocomplex, v_p, skol7( X ) ) ) ) ), X ) }.
% 4.69/5.11 (20506) {G0,W20,D4,L3,V2,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y
% 4.69/5.11 ), v_r ), ! c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.69/5.11 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, Y ) ) =
% 4.69/5.11 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, skol8 ) }.
% 4.69/5.11 (20507) {G0,W53,D7,L3,V1,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 4.69/5.11 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ) ), !
% 4.69/5.11 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.11 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ),
% 4.69/5.11 v_d____ ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.11 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 4.69/5.11 tc_Complex_Ocomplex, v_p, X ), c_Polynomial_Opoly( tc_Complex_Ocomplex,
% 4.69/5.11 v_p, v_z____ ) ) ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.69/5.11 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.69/5.11 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 4.69/5.11 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Int_Onumber__class_Onumber__of(
% 4.69/5.11 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 4.69/5.11 (20508) {G0,W18,D6,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, Y, X ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal
% 4.69/5.11 , c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 4.69/5.11 c_Int_OBit1( c_Int_OPls ) ) ) ), X ) }.
% 4.69/5.11 (20509) {G0,W5,D3,L1,V0,M1} { c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 4.69/5.11 v_d____ ) }.
% 4.69/5.11 (20510) {G0,W12,D4,L1,V0,M1} { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____
% 4.69/5.11 ), hAPP( v_f____, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____,
% 4.69/5.11 v_N2____ ) ) ) }.
% 4.69/5.11 (20511) {G0,W16,D6,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_Nat_Onat, v_N1____, X ), c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, v_g____( hAPP(
% 4.69/5.11 v_f____, X ) ), v_z____ ) ), v_d____ ) }.
% 4.69/5.11 (20512) {G0,W11,D5,L1,V0,M1} { c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 4.69/5.11 c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( c_Groups_Oplus__class_Oplus(
% 4.69/5.11 tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) }.
% 4.69/5.11 (20513) {G0,W7,D3,L1,V1,M1} { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 4.69/5.11 c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 4.69/5.11 (20514) {G0,W22,D6,L3,V2,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 4.69/5.11 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, skol9( X ), Y ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.11 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, v_g____( hAPP(
% 4.69/5.11 v_f____, Y ) ), v_z____ ) ), X ) }.
% 4.69/5.11 (20515) {G0,W22,D6,L1,V1,M1} { c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.69/5.11 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, v_g____( X ) ) ),
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 4.69/5.11 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 4.69/5.11 tc_Nat_Onat, c_Nat_OSuc( X ) ) ) ) ) }.
% 4.69/5.11 (20516) {G0,W4,D2,L1,V1,M1} { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_Int_Oint, X, X ) }.
% 4.69/5.11 (20517) {G0,W7,D4,L1,V1,M1} { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint
% 4.69/5.11 , c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) = X }.
% 4.69/5.11 (20518) {G0,W11,D4,L1,V1,M1} { c_Groups_Ouminus__class_Ouminus(
% 4.69/5.11 tc_Int_Oint, c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) =
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 4.69/5.11 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) }.
% 4.69/5.11 (20519) {G0,W15,D4,L1,V2,M1} { c_Groups_Ouminus__class_Ouminus(
% 4.69/5.11 tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) =
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Ouminus__class_Ouminus
% 4.69/5.11 ( tc_Int_Oint, Y ), c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) )
% 4.69/5.11 }.
% 4.69/5.11 (20520) {G0,W9,D3,L1,V2,M1} { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y
% 4.69/5.11 , X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Y ) }.
% 4.69/5.11 (20521) {G0,W9,D3,L1,V2,M1} { c_Groups_Otimes__class_Otimes( tc_Int_Oint,
% 4.69/5.11 Y, X ) = c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y ) }.
% 4.69/5.11 (20522) {G0,W8,D2,L2,V2,M2} { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Y
% 4.69/5.11 ) }.
% 4.69/5.11 (20523) {G0,W11,D4,L1,V2,M1} { c_Groups_Ominus__class_Ominus( tc_Int_Oint
% 4.69/5.11 , Y, X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 4.69/5.11 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) }.
% 4.69/5.11 (20524) {G0,W8,D2,L2,V2,M2} { ! c_Orderings_Oord__class_Oless( tc_Int_Oint
% 4.69/5.11 , Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 4.69/5.11 (20525) {G0,W7,D2,L2,V2,M2} { ! c_Orderings_Oord__class_Oless( tc_Int_Oint
% 4.69/5.11 , Y, X ), ! Y = X }.
% 4.69/5.11 (20526) {G0,W11,D2,L3,V2,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_Int_Oint, Y, X ), Y = X, c_Orderings_Oord__class_Oless( tc_Int_Oint, Y
% 4.69/5.11 , X ) }.
% 4.69/5.11 (20527) {G0,W11,D2,L3,V2,M3} { c_Orderings_Oord__class_Oless( tc_Int_Oint
% 4.69/5.11 , Y, X ), Y = X, c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Y ) }.
% 4.69/5.11 (20528) {G0,W11,D4,L1,V2,M1} { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y
% 4.69/5.11 , c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) =
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ) }.
% 4.69/5.11 (20529) {G0,W15,D4,L1,V3,M1} { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z
% 4.69/5.11 , c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) =
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oplus__class_Oplus
% 4.69/5.11 ( tc_Int_Oint, Z, X ) ) }.
% 4.69/5.11 (20530) {G0,W18,D4,L1,V3,M1} { c_Groups_Otimes__class_Otimes( tc_Int_Oint
% 4.69/5.11 , Z, c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) =
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 4.69/5.11 tc_Int_Oint, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ) )
% 4.69/5.11 }.
% 4.69/5.11 (20531) {G0,W18,D4,L1,V3,M1} { c_Groups_Otimes__class_Otimes( tc_Int_Oint
% 4.69/5.11 , Z, c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ) ) =
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Groups_Otimes__class_Otimes
% 4.69/5.11 ( tc_Int_Oint, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X )
% 4.69/5.11 ) }.
% 4.69/5.11 (20532) {G0,W13,D4,L1,V2,M1} { c_Groups_Otimes__class_Otimes( tc_Int_Oint
% 4.69/5.11 , c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ), X ) =
% 4.69/5.11 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint,
% 4.69/5.11 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 4.69/5.11 (20533) {G0,W15,D4,L1,V2,M1} { c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) =
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 4.69/5.11 (20534) {G0,W15,D4,L1,V2,M1} { c_Groups_Otimes__class_Otimes( tc_Int_Oint
% 4.69/5.11 , c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) =
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 4.69/5.11 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 4.69/5.11 (20535) {G0,W17,D5,L1,V2,M1} { c_Groups_Ominus__class_Ominus( tc_Int_Oint
% 4.69/5.11 , c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) =
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 4.69/5.11 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) ) }.
% 4.69/5.11 (20536) {G0,W12,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_Int_Oint, c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 4.69/5.11 (20537) {G0,W12,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) }.
% 4.69/5.11 (20538) {G0,W12,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_Int_Oint, c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 4.69/5.11 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 4.69/5.11 (20539) {G0,W12,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) }.
% 4.69/5.11 (20540) {G0,W15,D4,L1,V3,M1} { c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, Y ), X ) =
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, c_Groups_Oplus__class_Oplus
% 4.69/5.11 ( tc_Int_Oint, Y, X ) ) }.
% 4.69/5.11 (20541) {G0,W15,D4,L1,V3,M1} { c_Groups_Otimes__class_Otimes( tc_Int_Oint
% 4.69/5.11 , c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ), X ) =
% 4.69/5.11 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z,
% 4.69/5.11 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 4.69/5.11 (20542) {G0,W18,D4,L1,V3,M1} { c_Groups_Otimes__class_Otimes( tc_Int_Oint
% 4.69/5.11 , c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, Y ), X ) =
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 4.69/5.11 tc_Int_Oint, Z, X ), c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) )
% 4.69/5.11 }.
% 4.69/5.11 (20543) {G0,W18,D4,L1,V3,M1} { c_Groups_Otimes__class_Otimes( tc_Int_Oint
% 4.69/5.11 , c_Groups_Ominus__class_Ominus( tc_Int_Oint, Z, Y ), X ) =
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Groups_Otimes__class_Otimes
% 4.69/5.11 ( tc_Int_Oint, Z, X ), c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X )
% 4.69/5.11 ) }.
% 4.69/5.11 (20544) {G0,W14,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, Z ),
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Z ) ) }.
% 4.69/5.11 (20545) {G0,W14,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, Y ),
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, X ) ) }.
% 4.69/5.11 (20546) {G0,W12,D2,L3,V3,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_Int_Oint, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X
% 4.69/5.11 , Z ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, Z ) }.
% 4.69/5.11 (20547) {G0,W11,D2,L3,V2,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_Int_Oint, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X
% 4.69/5.11 , Y ), Y = X }.
% 4.69/5.11 (20548) {G0,W18,D3,L3,V4,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_Int_Oint, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, T
% 4.69/5.11 , Z ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, T ),
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Z ) ) }.
% 4.69/5.11 (20549) {G0,W16,D3,L3,V3,M3} { X = c_Groups_Ozero__class_Ozero(
% 4.69/5.11 tc_RealDef_Oreal ), ! c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z
% 4.69/5.11 , X ) = c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ), Z = Y
% 4.69/5.11 }.
% 4.69/5.11 (20550) {G0,W16,D3,L3,V3,M3} { X = c_Groups_Ozero__class_Ozero(
% 4.69/5.11 tc_RealDef_Oreal ), ! Z = Y, c_Groups_Otimes__class_Otimes(
% 4.69/5.11 tc_RealDef_Oreal, Z, X ) = c_Groups_Otimes__class_Otimes(
% 4.69/5.11 tc_RealDef_Oreal, Y, X ) }.
% 4.69/5.11 (20551) {G0,W16,D3,L3,V3,M3} { X = c_Groups_Ozero__class_Ozero(
% 4.69/5.11 tc_RealDef_Oreal ), ! c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X
% 4.69/5.11 , Z ) = c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ), Z = Y
% 4.69/5.11 }.
% 4.69/5.11 (20552) {G0,W16,D3,L3,V3,M3} { X = c_Groups_Ozero__class_Ozero(
% 4.69/5.11 tc_RealDef_Oreal ), ! Z = Y, c_Groups_Otimes__class_Otimes(
% 4.69/5.11 tc_RealDef_Oreal, X, Z ) = c_Groups_Otimes__class_Otimes(
% 4.69/5.11 tc_RealDef_Oreal, X, Y ) }.
% 4.69/5.11 (20553) {G0,W8,D4,L1,V1,M1} { c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 4.69/5.11 c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( X ) ) ) }.
% 4.69/5.11 (20554) {G0,W19,D4,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_Nat_Onat, Y, X ), c_RealDef_Oreal( tc_Nat_Onat,
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 4.69/5.11 tc_Nat_Onat, X ), c_RealDef_Oreal( tc_Nat_Onat, Y ) ) }.
% 4.69/5.11 (20555) {G0,W9,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless( tc_Int_Oint
% 4.69/5.11 , c_Int_OPls, c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_Int_Oint, c_Int_OPls, X ) }.
% 4.69/5.11 (20556) {G0,W9,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_Int_Oint, c_Int_OPls, X ), c_Orderings_Oord__class_Oless( tc_Int_Oint
% 4.69/5.11 , c_Int_OPls, c_Int_OBit1( X ) ) }.
% 4.69/5.11 (20557) {G0,W9,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_Int_Oint, c_Int_OBit1( X ), c_Int_OPls ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ) }.
% 4.69/5.11 (20558) {G0,W9,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless( tc_Int_Oint
% 4.69/5.11 , X, c_Int_OPls ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 4.69/5.11 c_Int_OBit1( X ), c_Int_OPls ) }.
% 4.69/5.11 (20559) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1( X ) ),
% 4.69/5.11 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 4.69/5.11 (20560) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 4.69/5.11 c_Int_OBit0( Y ), c_Int_OBit1( X ) ) }.
% 4.69/5.11 (20561) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1( X ) ),
% 4.69/5.11 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 4.69/5.11 (20562) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 4.69/5.11 c_Int_OBit0( Y ), c_Int_OBit1( X ) ) }.
% 4.69/5.11 (20563) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0( X ) ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 4.69/5.11 (20564) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 4.69/5.11 c_Int_OBit1( Y ), c_Int_OBit0( X ) ) }.
% 4.69/5.11 (20565) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0( X ) ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 4.69/5.11 (20566) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 4.69/5.11 c_Int_OBit1( Y ), c_Int_OBit0( X ) ) }.
% 4.69/5.11 (20567) {G0,W6,D3,L1,V1,M1} { c_Groups_Ominus__class_Ominus( tc_Int_Oint,
% 4.69/5.11 X, c_Int_OPls ) = X }.
% 4.69/5.11 (20568) {G0,W12,D4,L1,V2,M1} { c_Groups_Ominus__class_Ominus( tc_Int_Oint
% 4.69/5.11 , c_Int_OBit0( Y ), c_Int_OBit0( X ) ) = c_Int_OBit0(
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ) ) }.
% 4.69/5.11 (20569) {G0,W5,D3,L1,V0,M1} { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint
% 4.69/5.11 , c_Int_OPls ) = c_Int_OPls }.
% 4.69/5.11 (20570) {G0,W9,D4,L1,V1,M1} { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint
% 4.69/5.11 , c_Int_OBit0( X ) ) = c_Int_OBit0( c_Groups_Ouminus__class_Ouminus(
% 4.69/5.11 tc_Int_Oint, X ) ) }.
% 4.69/5.11 (20571) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1( X ) ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 4.69/5.11 (20572) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 4.69/5.11 c_Int_OBit1( Y ), c_Int_OBit1( X ) ) }.
% 4.69/5.11 (20573) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1( X ) ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 4.69/5.11 (20574) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 4.69/5.11 c_Int_OBit1( Y ), c_Int_OBit1( X ) ) }.
% 4.69/5.11 (20575) {G0,W4,D2,L1,V0,M1} { ! c_Orderings_Oord__class_Oless( tc_Int_Oint
% 4.69/5.11 , c_Int_OPls, c_Int_OPls ) }.
% 4.69/5.11 (20576) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0( X ) ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 4.69/5.11 (20577) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 4.69/5.11 c_Int_OBit0( Y ), c_Int_OBit0( X ) ) }.
% 4.69/5.11 (20578) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0( X ) ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 4.69/5.11 (20579) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 4.69/5.11 c_Int_OBit0( Y ), c_Int_OBit0( X ) ) }.
% 4.69/5.11 (20580) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1( X ) ),
% 4.69/5.11 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 4.69/5.11 (20581) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 4.69/5.11 c_Int_OBit1( Y ), c_Int_OBit1( X ) ) }.
% 4.69/5.11 (20582) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1( X ) ),
% 4.69/5.11 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 4.69/5.11 (20583) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 4.69/5.11 c_Int_OBit1( Y ), c_Int_OBit1( X ) ) }.
% 4.69/5.11 (20584) {G0,W4,D2,L1,V0,M1} { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_Int_Oint, c_Int_OPls, c_Int_OPls ) }.
% 4.69/5.11 (20585) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0( X ) ),
% 4.69/5.11 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 4.69/5.11 (20586) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 4.69/5.11 c_Int_OBit0( Y ), c_Int_OBit0( X ) ) }.
% 4.69/5.11 (20587) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0( X ) ),
% 4.69/5.11 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 4.69/5.11 (20588) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 4.69/5.11 c_Int_OBit0( Y ), c_Int_OBit0( X ) ) }.
% 4.69/5.11 (20589) {G0,W13,D3,L3,V2,M3} { ! class_Groups_Olinordered__ab__group__add
% 4.69/5.11 ( X ), ! c_Groups_Oplus__class_Oplus( X, Y, Y ) =
% 4.69/5.11 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 4.69/5.11 }.
% 4.69/5.11 (20590) {G0,W13,D3,L3,V2,M3} { ! class_Groups_Olinordered__ab__group__add
% 4.69/5.11 ( X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.11 c_Groups_Oplus__class_Oplus( X, Y, Y ) = c_Groups_Ozero__class_Ozero( X )
% 4.69/5.11 }.
% 4.69/5.11 (20591) {G0,W14,D3,L3,V3,M3} { ! class_Groups_Ogroup__add( X ), !
% 4.69/5.11 c_Groups_Oplus__class_Oplus( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X )
% 4.69/5.11 , Y = c_Groups_Ouminus__class_Ouminus( X, Z ) }.
% 4.69/5.11 (20592) {G0,W14,D3,L3,V3,M3} { ! class_Groups_Ogroup__add( X ), ! Y =
% 4.69/5.11 c_Groups_Ouminus__class_Ouminus( X, Z ), c_Groups_Oplus__class_Oplus( X,
% 4.69/5.11 Z, Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.11 (20593) {G0,W12,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, c_RealDef_Oreal( tc_Nat_Onat, Y ), c_RealDef_Oreal(
% 4.69/5.11 tc_Nat_Onat, X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X )
% 4.69/5.11 }.
% 4.69/5.11 (20594) {G0,W12,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.11 c_RealDef_Oreal( tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) )
% 4.69/5.11 }.
% 4.69/5.11 (20595) {G0,W12,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_RealDef_Oreal, c_RealDef_Oreal( tc_Nat_Onat, Y ), c_RealDef_Oreal(
% 4.69/5.11 tc_Nat_Onat, X ) ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X
% 4.69/5.11 ) }.
% 4.69/5.11 (20596) {G0,W12,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal
% 4.69/5.11 , c_RealDef_Oreal( tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) )
% 4.69/5.11 }.
% 4.69/5.11 (20597) {G0,W19,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 4.69/5.11 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ),
% 4.69/5.11 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) }.
% 4.69/5.11 (20598) {G0,W18,D3,L3,V2,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 4.69/5.11 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 4.69/5.11 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) }.
% 4.69/5.11 (20599) {G0,W19,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 4.69/5.11 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 4.69/5.11 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ) }.
% 4.69/5.11 (20600) {G0,W19,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 4.69/5.11 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 4.69/5.11 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 4.69/5.11 (20601) {G0,W11,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 4.69/5.11 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ), alpha2( X, Y
% 4.69/5.11 ) }.
% 4.69/5.11 (20602) {G0,W11,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 4.69/5.11 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ), alpha35( X,
% 4.69/5.11 Y ) }.
% 4.69/5.11 (20603) {G0,W14,D3,L3,V2,M3} { ! alpha2( X, Y ), ! alpha35( X, Y ),
% 4.69/5.11 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 4.69/5.11 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ) }.
% 4.69/5.11 (20604) {G0,W13,D3,L3,V2,M3} { ! alpha35( X, Y ),
% 4.69/5.11 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 4.69/5.11 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 4.69/5.11 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 4.69/5.11 (20605) {G0,W8,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 4.69/5.11 alpha35( X, Y ) }.
% 4.69/5.11 (20606) {G0,W8,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_RealDef_Oreal, X, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 4.69/5.11 alpha35( X, Y ) }.
% 4.69/5.11 (20607) {G0,W13,D3,L3,V2,M3} { ! alpha2( X, Y ),
% 4.69/5.11 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y,
% 4.69/5.11 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 4.69/5.11 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }.
% 4.69/5.11 (20608) {G0,W8,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_RealDef_Oreal, Y, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 4.69/5.11 alpha2( X, Y ) }.
% 4.69/5.11 (20609) {G0,W8,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 4.69/5.11 alpha2( X, Y ) }.
% 4.69/5.11 (20610) {G0,W7,D3,L1,V1,M1} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, c_RealDef_Oreal( tc_Nat_Onat, X ),
% 4.69/5.11 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 4.69/5.11 (20611) {G0,W12,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_RealDef_Oreal, Y, X ), c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X )
% 4.69/5.11 , c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 4.69/5.11 (20612) {G0,W12,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X )
% 4.69/5.11 , c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 4.69/5.11 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 4.69/5.11 (20613) {G0,W17,D4,L2,V2,M2} { ! c_Groups_Oplus__class_Oplus(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y )
% 4.69/5.11 , c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 4.69/5.11 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y =
% 4.69/5.11 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 4.69/5.11 (20614) {G0,W17,D4,L2,V2,M2} { ! c_Groups_Oplus__class_Oplus(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y )
% 4.69/5.11 , c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 4.69/5.11 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X =
% 4.69/5.11 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 4.69/5.11 (20615) {G0,W21,D4,L3,V2,M3} { ! Y = c_Groups_Ozero__class_Ozero(
% 4.69/5.11 tc_RealDef_Oreal ), ! X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal )
% 4.69/5.11 , c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 4.69/5.11 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 4.69/5.11 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 4.69/5.11 (20616) {G0,W12,D3,L2,V2,M2} { ! c_Groups_Oplus__class_Oplus(
% 4.69/5.11 tc_RealDef_Oreal, Y, X ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal
% 4.69/5.11 ), X = c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) }.
% 4.69/5.11 (20617) {G0,W12,D3,L2,V2,M2} { ! X = c_Groups_Ouminus__class_Ouminus(
% 4.69/5.11 tc_RealDef_Oreal, Y ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y,
% 4.69/5.11 X ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 4.69/5.11 (20618) {G0,W12,D4,L2,V2,M2} { ! c_Groups_Oplus__class_Oplus(
% 4.69/5.11 tc_RealDef_Oreal, Y, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X
% 4.69/5.11 ) ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y = X }.
% 4.69/5.11 (20619) {G0,W12,D4,L2,V2,M2} { ! Y = X, c_Groups_Oplus__class_Oplus(
% 4.69/5.11 tc_RealDef_Oreal, Y, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X
% 4.69/5.11 ) ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 4.69/5.11 (20620) {G0,W19,D5,L2,V3,M2} { ! class_Int_Onumber__ring( X ),
% 4.69/5.11 c_Groups_Ominus__class_Ominus( X, c_Int_Onumber__class_Onumber__of( X, Z
% 4.69/5.11 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 4.69/5.11 tc_Int_Oint, Z, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) ) }.
% 4.69/5.11 (20621) {G0,W12,D4,L1,V2,M1} { c_Groups_Ominus__class_Ominus( tc_Int_Oint
% 4.69/5.11 , c_Int_OBit1( Y ), c_Int_OBit0( X ) ) = c_Int_OBit1(
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ) ) }.
% 4.69/5.11 (20622) {G0,W12,D4,L1,V2,M1} { c_Groups_Ominus__class_Ominus( tc_Int_Oint
% 4.69/5.11 , c_Int_OBit1( Y ), c_Int_OBit1( X ) ) = c_Int_OBit0(
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ) ) }.
% 4.69/5.11 (20623) {G0,W11,D4,L1,V1,M1} { c_Groups_Ominus__class_Ominus( tc_Int_Oint
% 4.69/5.11 , c_Int_OPls, c_Int_OBit0( X ) ) = c_Int_OBit0(
% 4.69/5.11 c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OPls, X ) ) }.
% 4.69/5.11 (20624) {G0,W9,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless( tc_Int_Oint
% 4.69/5.11 , c_Int_OBit1( X ), c_Int_OPls ), c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_Int_Oint, X, c_Int_OPls ) }.
% 4.69/5.11 (20625) {G0,W9,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless( tc_Int_Oint
% 4.69/5.11 , X, c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 4.69/5.11 c_Int_OBit1( X ), c_Int_OPls ) }.
% 4.69/5.11 (20626) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0( X ) ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 4.69/5.11 (20627) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 4.69/5.11 c_Int_OBit1( Y ), c_Int_OBit0( X ) ) }.
% 4.69/5.11 (20628) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0( X ) ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 4.69/5.11 (20629) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 4.69/5.11 c_Int_OBit1( Y ), c_Int_OBit0( X ) ) }.
% 4.69/5.11 (20630) {G0,W9,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless( tc_Int_Oint
% 4.69/5.11 , c_Int_OPls, c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_Int_Oint, c_Int_OPls, X ) }.
% 4.69/5.11 (20631) {G0,W9,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless( tc_Int_Oint
% 4.69/5.11 , c_Int_OPls, X ), c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls
% 4.69/5.11 , c_Int_OBit0( X ) ) }.
% 4.69/5.11 (20632) {G0,W9,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless( tc_Int_Oint
% 4.69/5.11 , c_Int_OBit0( X ), c_Int_OPls ), c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_Int_Oint, X, c_Int_OPls ) }.
% 4.69/5.11 (20633) {G0,W9,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless( tc_Int_Oint
% 4.69/5.11 , X, c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 4.69/5.11 c_Int_OBit0( X ), c_Int_OPls ) }.
% 4.69/5.11 (20634) {G0,W9,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_Int_Oint, c_Int_OPls, c_Int_OBit1( X ) ),
% 4.69/5.11 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ) }.
% 4.69/5.11 (20635) {G0,W9,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_Int_Oint, c_Int_OPls, X ), c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_Int_Oint, c_Int_OPls, c_Int_OBit1( X ) ) }.
% 4.69/5.11 (20636) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1( X ) ),
% 4.69/5.11 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 4.69/5.11 (20637) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 4.69/5.11 c_Int_OBit0( Y ), c_Int_OBit1( X ) ) }.
% 4.69/5.11 (20638) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1( X ) ),
% 4.69/5.11 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 4.69/5.11 (20639) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 4.69/5.11 c_Int_OBit0( Y ), c_Int_OBit1( X ) ) }.
% 4.69/5.11 (20640) {G0,W9,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_Int_Oint, c_Int_OPls, c_Int_OBit0( X ) ),
% 4.69/5.11 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ) }.
% 4.69/5.11 (20641) {G0,W9,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_Int_Oint, c_Int_OPls, X ), c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_Int_Oint, c_Int_OPls, c_Int_OBit0( X ) ) }.
% 4.69/5.11 (20642) {G0,W9,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_Int_Oint, c_Int_OBit0( X ), c_Int_OPls ),
% 4.69/5.11 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ) }.
% 4.69/5.11 (20643) {G0,W9,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_Int_Oint, X, c_Int_OPls ), c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_Int_Oint, c_Int_OBit0( X ), c_Int_OPls ) }.
% 4.69/5.11 (20644) {G0,W15,D3,L3,V2,M3} { ! class_Rings_Olinordered__idom( X ), !
% 4.69/5.11 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Y )
% 4.69/5.11 , c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Y
% 4.69/5.11 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 4.69/5.11 (20645) {G0,W15,D3,L3,V2,M3} { ! class_Rings_Olinordered__idom( X ), !
% 4.69/5.11 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Y )
% 4.69/5.11 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 4.69/5.11 (20646) {G0,W8,D3,L2,V1,M2} { ! class_Int_Onumber__ring( X ),
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ) =
% 4.69/5.11 c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.11 (20647) {G0,W19,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 4.69/5.11 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 4.69/5.11 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ),
% 4.69/5.11 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ) }.
% 4.69/5.11 (20648) {G0,W19,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 4.69/5.11 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ),
% 4.69/5.11 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 4.69/5.11 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 4.69/5.11 (20649) {G0,W19,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 4.69/5.11 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ),
% 4.69/5.11 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ),
% 4.69/5.11 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ) }.
% 4.69/5.11 (20650) {G0,W19,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 4.69/5.11 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ),
% 4.69/5.11 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ),
% 4.69/5.11 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) }.
% 4.69/5.11 (20651) {G0,W14,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ),
% 4.69/5.11 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), X ) }.
% 4.69/5.11 (20652) {G0,W14,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y )
% 4.69/5.11 , X ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ) }.
% 4.69/5.11 (20653) {G0,W14,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 4.69/5.11 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 4.69/5.11 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 4.69/5.11 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ) }.
% 4.69/5.11 (20654) {G0,W14,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_RealDef_Oreal, X, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y
% 4.69/5.11 ) ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 4.69/5.11 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 4.69/5.11 (20655) {G0,W14,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), X ) }.
% 4.69/5.11 (20656) {G0,W14,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y )
% 4.69/5.11 , X ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ) }.
% 4.69/5.11 (20657) {G0,W14,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 4.69/5.11 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 4.69/5.11 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ) }.
% 4.69/5.11 (20658) {G0,W14,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, X, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y
% 4.69/5.11 ) ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.11 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 4.69/5.11 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 4.69/5.11 (20659) {G0,W12,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, X, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 4.69/5.11 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) =
% 4.69/5.11 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) }.
% 4.69/5.11 (20660) {G0,W10,D3,L2,V1,M2} { c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, X, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 4.69/5.11 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) = X }.
% 4.69/5.11 (20661) {G0,W12,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, X, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 4.69/5.11 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) =
% 4.69/5.11 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) }.
% 4.69/5.11 (20662) {G0,W10,D3,L2,V1,M2} { c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_RealDef_Oreal, X, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 4.69/5.11 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) = X }.
% 4.69/5.11 (20663) {G0,W25,D6,L2,V4,M2} { ! class_Int_Onumber__ring( X ),
% 4.69/5.11 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X, T )
% 4.69/5.11 , c_Groups_Ominus__class_Ominus( X, Z, c_Int_Onumber__class_Onumber__of(
% 4.69/5.11 X, Y ) ) ) = c_Groups_Oplus__class_Oplus( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 4.69/5.11 tc_Int_Oint, T, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) ), Z
% 4.69/5.11 ) }.
% 4.69/5.11 (20664) {G0,W15,D3,L4,V2,M4} { ! class_Int_Onumber__ring( X ), !
% 4.69/5.11 class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 X, c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X
% 4.69/5.11 , Y ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, Y )
% 4.69/5.11 }.
% 4.69/5.11 (20665) {G0,W15,D3,L4,V2,M4} { ! class_Int_Onumber__ring( X ), !
% 4.69/5.11 class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_Int_Oint, c_Int_OPls, Y ), c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.11 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 4.69/5.11 ) ) }.
% 4.69/5.11 (20666) {G0,W15,D3,L4,V2,M4} { ! class_Int_Onumber__ring( X ), !
% 4.69/5.11 class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 X, c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero
% 4.69/5.11 ( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls )
% 4.69/5.11 }.
% 4.69/5.11 (20667) {G0,W15,D3,L4,V2,M4} { ! class_Int_Onumber__ring( X ), !
% 4.69/5.11 class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_Int_Oint, Y, c_Int_OPls ), c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 4.69/5.11 ) ) }.
% 4.69/5.11 (20668) {G0,W15,D3,L4,V2,M4} { ! class_Int_Onumber__ring( X ), !
% 4.69/5.11 class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.11 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 4.69/5.11 ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, Y ) }.
% 4.69/5.11 (20669) {G0,W15,D3,L4,V2,M4} { ! class_Int_Onumber__ring( X ), !
% 4.69/5.11 class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_Int_Oint, c_Int_OPls, Y ), c_Orderings_Oord__class_Oless( X,
% 4.69/5.11 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 4.69/5.11 ) ) }.
% 4.69/5.11 (20670) {G0,W15,D3,L4,V2,M4} { ! class_Int_Onumber__ring( X ), !
% 4.69/5.11 class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 4.69/5.11 ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ) }.
% 4.69/5.11 (20671) {G0,W15,D3,L4,V2,M4} { ! class_Int_Onumber__ring( X ), !
% 4.69/5.11 class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless(
% 4.69/5.11 tc_Int_Oint, Y, c_Int_OPls ), c_Orderings_Oord__class_Oless( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 4.69/5.11 ) ) }.
% 4.69/5.11 (20672) {G0,W19,D5,L2,V2,M2} { ! class_Int_Onumber__ring( X ),
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( Y ) ) =
% 4.69/5.11 c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X,
% 4.69/5.11 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 4.69/5.11 ) ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 4.69/5.11 (20673) {G0,W17,D4,L4,V4,M4} { ! class_Fields_Ofield__inverse__zero( X ),
% 4.69/5.11 ! class_Int_Onumber( X ), ! T = c_Rings_Oinverse__class_Odivide( X, Z,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha36( X, Y, Z, T ) }.
% 4.69/5.11 (20674) {G0,W16,D4,L4,V4,M4} { ! class_Fields_Ofield__inverse__zero( X ),
% 4.69/5.11 ! class_Int_Onumber( X ), ! T = c_Rings_Oinverse__class_Odivide( X, Z,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha3( X, Y, T ) }.
% 4.69/5.11 (20675) {G0,W21,D4,L5,V4,M5} { ! class_Fields_Ofield__inverse__zero( X ),
% 4.69/5.11 ! class_Int_Onumber( X ), ! alpha36( X, Y, Z, T ), ! alpha3( X, Y, T ), T
% 4.69/5.11 = c_Rings_Oinverse__class_Odivide( X, Z,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 4.69/5.11 (20676) {G0,W19,D4,L3,V4,M3} { ! alpha36( X, Y, Z, T ),
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 4.69/5.11 ), c_Groups_Otimes__class_Otimes( X, T, c_Int_Onumber__class_Onumber__of
% 4.69/5.11 ( X, Y ) ) = Z }.
% 4.69/5.11 (20677) {G0,W11,D3,L2,V4,M2} { ! c_Int_Onumber__class_Onumber__of( X, Y )
% 4.69/5.11 = c_Groups_Ozero__class_Ozero( X ), alpha36( X, Y, Z, T ) }.
% 4.69/5.11 (20678) {G0,W13,D4,L2,V4,M2} { ! c_Groups_Otimes__class_Otimes( X, T,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ) ) = Z, alpha36( X, Y, Z, T ) }.
% 4.69/5.11 (20679) {G0,W14,D3,L3,V3,M3} { ! alpha3( X, Y, Z ), !
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 4.69/5.11 ), Z = c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.11 (20680) {G0,W10,D3,L2,V3,M2} { c_Int_Onumber__class_Onumber__of( X, Y ) =
% 4.69/5.11 c_Groups_Ozero__class_Ozero( X ), alpha3( X, Y, Z ) }.
% 4.69/5.11 (20681) {G0,W8,D3,L2,V3,M2} { ! Z = c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.11 alpha3( X, Y, Z ) }.
% 4.69/5.11 (20682) {G0,W17,D3,L4,V4,M4} { ! class_Fields_Ofield__inverse__zero( X ),
% 4.69/5.11 ! class_Int_Onumber( X ), ! c_Int_Onumber__class_Onumber__of( X, T ) =
% 4.69/5.11 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha37( X, Y, Z, T ) }.
% 4.69/5.11 (20683) {G0,W16,D3,L4,V4,M4} { ! class_Fields_Ofield__inverse__zero( X ),
% 4.69/5.11 ! class_Int_Onumber( X ), ! c_Int_Onumber__class_Onumber__of( X, T ) =
% 4.69/5.11 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha4( X, Y, T ) }.
% 4.69/5.11 (20684) {G0,W21,D3,L5,V4,M5} { ! class_Fields_Ofield__inverse__zero( X ),
% 4.69/5.11 ! class_Int_Onumber( X ), ! alpha37( X, Y, Z, T ), ! alpha4( X, Y, T ),
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, T ) =
% 4.69/5.11 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 4.69/5.11 (20685) {G0,W17,D4,L3,V4,M3} { ! alpha37( X, Y, Z, T ), Y =
% 4.69/5.11 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, T ), Y ) = Z }.
% 4.69/5.11 (20686) {G0,W9,D3,L2,V4,M2} { ! Y = c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.11 alpha37( X, Y, Z, T ) }.
% 4.69/5.11 (20687) {G0,W13,D4,L2,V4,M2} { ! c_Groups_Otimes__class_Otimes( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, T ), Y ) = Z, alpha37( X, Y, Z, T )
% 4.69/5.11 }.
% 4.69/5.11 (20688) {G0,W14,D3,L3,V3,M3} { ! alpha4( X, Y, Z ), ! Y =
% 4.69/5.11 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 4.69/5.11 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.11 (20689) {G0,W8,D3,L2,V3,M2} { Y = c_Groups_Ozero__class_Ozero( X ), alpha4
% 4.69/5.11 ( X, Y, Z ) }.
% 4.69/5.11 (20690) {G0,W10,D3,L2,V3,M2} { ! c_Int_Onumber__class_Onumber__of( X, Z )
% 4.69/5.11 = c_Groups_Ozero__class_Ozero( X ), alpha4( X, Y, Z ) }.
% 4.69/5.11 (20691) {G0,W17,D3,L4,V4,M4} { ! class_Fields_Ofield__inverse__zero( X ),
% 4.69/5.11 ! class_Int_Onumber( X ), ! c_Rings_Oinverse__class_Odivide( X, T, Z ) =
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ), alpha38( X, Y, Z, T ) }.
% 4.69/5.11 (20692) {G0,W16,D3,L4,V4,M4} { ! class_Fields_Ofield__inverse__zero( X ),
% 4.69/5.11 ! class_Int_Onumber( X ), ! c_Rings_Oinverse__class_Odivide( X, T, Z ) =
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ), alpha5( X, Y, Z ) }.
% 4.69/5.11 (20693) {G0,W21,D3,L5,V4,M5} { ! class_Fields_Ofield__inverse__zero( X ),
% 4.69/5.11 ! class_Int_Onumber( X ), ! alpha38( X, Y, Z, T ), ! alpha5( X, Y, Z ),
% 4.69/5.11 c_Rings_Oinverse__class_Odivide( X, T, Z ) =
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 4.69/5.11 (20694) {G0,W17,D4,L3,V4,M3} { ! alpha38( X, Y, Z, T ), Z =
% 4.69/5.11 c_Groups_Ozero__class_Ozero( X ), T = c_Groups_Otimes__class_Otimes( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ), Z ) }.
% 4.69/5.11 (20695) {G0,W9,D3,L2,V4,M2} { ! Z = c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.11 alpha38( X, Y, Z, T ) }.
% 4.69/5.11 (20696) {G0,W13,D4,L2,V4,M2} { ! T = c_Groups_Otimes__class_Otimes( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ), Z ), alpha38( X, Y, Z, T ) }.
% 4.69/5.11 (20697) {G0,W14,D3,L3,V3,M3} { ! alpha5( X, Y, Z ), ! Z =
% 4.69/5.11 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 4.69/5.11 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.11 (20698) {G0,W8,D3,L2,V3,M2} { Z = c_Groups_Ozero__class_Ozero( X ), alpha5
% 4.69/5.11 ( X, Y, Z ) }.
% 4.69/5.11 (20699) {G0,W10,D3,L2,V3,M2} { ! c_Int_Onumber__class_Onumber__of( X, Y )
% 4.69/5.11 = c_Groups_Ozero__class_Ozero( X ), alpha5( X, Y, Z ) }.
% 4.69/5.11 (20700) {G0,W17,D4,L4,V4,M4} { ! class_Fields_Ofield__inverse__zero( X ),
% 4.69/5.11 ! class_Int_Onumber( X ), ! c_Rings_Oinverse__class_Odivide( X, T,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Z ) ) = Y, alpha39( X, Y, Z, T ) }.
% 4.69/5.11 (20701) {G0,W16,D4,L4,V4,M4} { ! class_Fields_Ofield__inverse__zero( X ),
% 4.69/5.11 ! class_Int_Onumber( X ), ! c_Rings_Oinverse__class_Odivide( X, T,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Z ) ) = Y, alpha6( X, Y, Z ) }.
% 4.69/5.11 (20702) {G0,W21,D4,L5,V4,M5} { ! class_Fields_Ofield__inverse__zero( X ),
% 4.69/5.11 ! class_Int_Onumber( X ), ! alpha39( X, Y, Z, T ), ! alpha6( X, Y, Z ),
% 4.69/5.11 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 4.69/5.11 X, Z ) ) = Y }.
% 4.69/5.11 (20703) {G0,W19,D4,L3,V4,M3} { ! alpha39( X, Y, Z, T ),
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero( X
% 4.69/5.11 ), T = c_Groups_Otimes__class_Otimes( X, Y,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Z ) ) }.
% 4.69/5.11 (20704) {G0,W11,D3,L2,V4,M2} { ! c_Int_Onumber__class_Onumber__of( X, Z )
% 4.69/5.11 = c_Groups_Ozero__class_Ozero( X ), alpha39( X, Y, Z, T ) }.
% 4.69/5.11 (20705) {G0,W13,D4,L2,V4,M2} { ! T = c_Groups_Otimes__class_Otimes( X, Y,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha39( X, Y, Z, T ) }.
% 4.69/5.11 (20706) {G0,W14,D3,L3,V3,M3} { ! alpha6( X, Y, Z ), !
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero( X
% 4.69/5.11 ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.11 (20707) {G0,W10,D3,L2,V3,M2} { c_Int_Onumber__class_Onumber__of( X, Z ) =
% 4.69/5.11 c_Groups_Ozero__class_Ozero( X ), alpha6( X, Y, Z ) }.
% 4.69/5.11 (20708) {G0,W8,D3,L2,V3,M2} { ! Y = c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.11 alpha6( X, Y, Z ) }.
% 4.69/5.11 (20709) {G0,W13,D4,L3,V2,M3} { ! class_Fields_Ofield__inverse__zero( X ),
% 4.69/5.11 ! class_Int_Onumber__ring( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ) ) =
% 4.69/5.11 c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.11 (20710) {G0,W4,D2,L1,V1,M1} { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_RealDef_Oreal, X, X ) }.
% 4.69/5.11 (20711) {G0,W8,D2,L2,V2,M2} { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_RealDef_Oreal, Y, X ), c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_RealDef_Oreal, X, Y ) }.
% 4.69/5.11 (20712) {G0,W12,D2,L3,V3,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_RealDef_Oreal, Y, X ), ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_RealDef_Oreal, X, Z ), c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_RealDef_Oreal, Y, Z ) }.
% 4.69/5.11 (20713) {G0,W11,D2,L3,V2,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_RealDef_Oreal, Y, X ), ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.11 tc_RealDef_Oreal, X, Y ), Y = X }.
% 4.69/5.11 (20714) {G0,W9,D3,L1,V2,M1} { c_Groups_Otimes__class_Otimes(
% 4.69/5.11 tc_RealDef_Oreal, Y, X ) = c_Groups_Otimes__class_Otimes(
% 4.69/5.11 tc_RealDef_Oreal, X, Y ) }.
% 4.69/5.11 (20715) {G0,W15,D4,L1,V3,M1} { c_Groups_Otimes__class_Otimes(
% 4.69/5.11 tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, Y )
% 4.69/5.11 , X ) = c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z,
% 4.69/5.11 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 4.69/5.11 (20716) {G0,W10,D3,L2,V2,M2} { ! c_RealDef_Oreal( tc_Nat_Onat, Y ) =
% 4.69/5.11 c_RealDef_Oreal( tc_Nat_Onat, X ), Y = X }.
% 4.69/5.11 (20717) {G0,W10,D3,L2,V2,M2} { ! Y = X, c_RealDef_Oreal( tc_Nat_Onat, Y )
% 4.69/5.11 = c_RealDef_Oreal( tc_Nat_Onat, X ) }.
% 4.69/5.11 (20718) {G0,W18,D4,L4,V4,M4} { !
% 4.69/5.11 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 4.69/5.11 ( X ), ! c_Orderings_Oord__class_Oless( X, T,
% 4.69/5.11 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 4.69/5.11 X, Y ) ) ), alpha40( X, Y, Z, T ) }.
% 4.69/5.11 (20719) {G0,W18,D4,L4,V4,M4} { !
% 4.69/5.11 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 4.69/5.11 ( X ), ! c_Orderings_Oord__class_Oless( X, T,
% 4.69/5.11 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 4.69/5.11 X, Y ) ) ), alpha66( X, Y, Z, T ) }.
% 4.69/5.11 (20720) {G0,W23,D4,L5,V4,M5} { !
% 4.69/5.11 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 4.69/5.11 ( X ), ! alpha40( X, Y, Z, T ), ! alpha66( X, Y, Z, T ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 4.69/5.11 Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 4.69/5.11 (20721) {G0,W17,D3,L3,V4,M3} { ! alpha66( X, Y, Z, T ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha78( X, Y, Z, T ) }.
% 4.69/5.11 (20722) {G0,W12,D3,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.11 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 4.69/5.11 ) ), alpha66( X, Y, Z, T ) }.
% 4.69/5.11 (20723) {G0,W10,D2,L2,V4,M2} { ! alpha78( X, Y, Z, T ), alpha66( X, Y, Z,
% 4.69/5.11 T ) }.
% 4.69/5.11 (20724) {G0,W10,D2,L2,V4,M2} { ! alpha78( X, Y, Z, T ), alpha90( X, Y, Z,
% 4.69/5.11 T ) }.
% 4.69/5.11 (20725) {G0,W9,D2,L2,V4,M2} { ! alpha78( X, Y, Z, T ), alpha7( X, Y, T )
% 4.69/5.11 }.
% 4.69/5.11 (20726) {G0,W14,D2,L3,V4,M3} { ! alpha90( X, Y, Z, T ), ! alpha7( X, Y, T
% 4.69/5.11 ), alpha78( X, Y, Z, T ) }.
% 4.69/5.11 (20727) {G0,W21,D4,L3,V4,M3} { ! alpha90( X, Y, Z, T ), !
% 4.69/5.11 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 4.69/5.11 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 4.69/5.11 , Z, c_Groups_Otimes__class_Otimes( X, T,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 4.69/5.11 (20728) {G0,W12,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 4.69/5.11 ) ), alpha90( X, Y, Z, T ) }.
% 4.69/5.11 (20729) {G0,W14,D4,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X, Z,
% 4.69/5.11 c_Groups_Otimes__class_Otimes( X, T, c_Int_Onumber__class_Onumber__of( X
% 4.69/5.11 , Y ) ) ), alpha90( X, Y, Z, T ) }.
% 4.69/5.11 (20730) {G0,W21,D4,L3,V4,M3} { ! alpha40( X, Y, Z, T ), !
% 4.69/5.11 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Orderings_Oord__class_Oless
% 4.69/5.11 ( X, c_Groups_Otimes__class_Otimes( X, T,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ) }.
% 4.69/5.11 (20731) {G0,W12,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X,
% 4.69/5.11 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 4.69/5.11 ) ), alpha40( X, Y, Z, T ) }.
% 4.69/5.11 (20732) {G0,W14,D4,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.11 c_Groups_Otimes__class_Otimes( X, T, c_Int_Onumber__class_Onumber__of( X
% 4.69/5.11 , Y ) ), Z ), alpha40( X, Y, Z, T ) }.
% 4.69/5.11 (20733) {G0,W16,D3,L3,V3,M3} { ! alpha7( X, Y, Z ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 4.69/5.11 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 4.69/5.11 , Z, c_Groups_Ozero__class_Ozero( X ) ) }.
% 4.69/5.11 (20734) {G0,W11,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 4.69/5.11 ) ), alpha7( X, Y, Z ) }.
% 4.69/5.11 (20735) {G0,W9,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless( X, Z,
% 4.69/5.11 c_Groups_Ozero__class_Ozero( X ) ), alpha7( X, Y, Z ) }.
% 4.69/5.11 (20736) {G0,W18,D3,L4,V4,M4} { !
% 4.69/5.11 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 4.69/5.11 ( X ), ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 4.69/5.11 ( X, Z, Y ) ), alpha41( X, Y, Z, T ) }.
% 4.69/5.11 (20737) {G0,W18,D3,L4,V4,M4} { !
% 4.69/5.11 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 4.69/5.11 ( X ), ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 4.69/5.11 ( X, Z, Y ) ), alpha67( X, Y, Z, T ) }.
% 4.69/5.11 (20738) {G0,W23,D3,L5,V4,M5} { !
% 4.69/5.11 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 4.69/5.11 ( X ), ! alpha41( X, Y, Z, T ), ! alpha67( X, Y, Z, T ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, T
% 4.69/5.11 ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 4.69/5.11 (20739) {G0,W15,D3,L3,V4,M3} { ! alpha67( X, Y, Z, T ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 4.69/5.11 alpha79( X, Y, Z, T ) }.
% 4.69/5.11 (20740) {G0,W10,D3,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.11 c_Groups_Ozero__class_Ozero( X ), Y ), alpha67( X, Y, Z, T ) }.
% 4.69/5.11 (20741) {G0,W10,D2,L2,V4,M2} { ! alpha79( X, Y, Z, T ), alpha67( X, Y, Z,
% 4.69/5.11 T ) }.
% 4.69/5.11 (20742) {G0,W10,D2,L2,V4,M2} { ! alpha79( X, Y, Z, T ), alpha91( X, Y, Z,
% 4.69/5.11 T ) }.
% 4.69/5.11 (20743) {G0,W9,D2,L2,V4,M2} { ! alpha79( X, Y, Z, T ), alpha8( X, Y, T )
% 4.69/5.11 }.
% 4.69/5.11 (20744) {G0,W14,D2,L3,V4,M3} { ! alpha91( X, Y, Z, T ), ! alpha8( X, Y, T
% 4.69/5.11 ), alpha79( X, Y, Z, T ) }.
% 4.69/5.11 (20745) {G0,W19,D4,L3,V4,M3} { ! alpha91( X, Y, Z, T ), !
% 4.69/5.11 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, T ), Y ) ) }.
% 4.69/5.11 (20746) {G0,W10,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X, Y,
% 4.69/5.11 c_Groups_Ozero__class_Ozero( X ) ), alpha91( X, Y, Z, T ) }.
% 4.69/5.11 (20747) {G0,W14,D4,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X, Z,
% 4.69/5.11 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 4.69/5.11 ), Y ) ), alpha91( X, Y, Z, T ) }.
% 4.69/5.11 (20748) {G0,W19,D4,L3,V4,M3} { ! alpha41( X, Y, Z, T ), !
% 4.69/5.11 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, T ), Y ), Z ) }.
% 4.69/5.11 (20749) {G0,W10,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X,
% 4.69/5.11 c_Groups_Ozero__class_Ozero( X ), Y ), alpha41( X, Y, Z, T ) }.
% 4.69/5.11 (20750) {G0,W14,D4,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.11 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 4.69/5.11 ), Y ), Z ), alpha41( X, Y, Z, T ) }.
% 4.69/5.11 (20751) {G0,W16,D3,L3,V3,M3} { ! alpha8( X, Y, Z ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 4.69/5.11 ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 4.69/5.11 (20752) {G0,W9,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless( X, Y,
% 4.69/5.11 c_Groups_Ozero__class_Ozero( X ) ), alpha8( X, Y, Z ) }.
% 4.69/5.11 (20753) {G0,W11,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 4.69/5.11 ) ), alpha8( X, Y, Z ) }.
% 4.69/5.11 (20754) {G0,W18,D3,L4,V4,M4} { !
% 4.69/5.11 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 4.69/5.11 ( X ), ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.11 c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha42( X, Y, Z, T ) }.
% 4.69/5.11 (20755) {G0,W18,D3,L4,V4,M4} { !
% 4.69/5.11 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 4.69/5.11 ( X ), ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.11 c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha68( X, Y, Z, T ) }.
% 4.69/5.11 (20756) {G0,W23,D3,L5,V4,M5} { !
% 4.69/5.11 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 4.69/5.11 ( X ), ! alpha42( X, Y, Z, T ), ! alpha68( X, Y, Z, T ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 4.69/5.11 Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 4.69/5.11 (20757) {G0,W15,D3,L3,V4,M3} { ! alpha68( X, Y, Z, T ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 4.69/5.11 alpha80( X, Y, Z, T ) }.
% 4.69/5.11 (20758) {G0,W10,D3,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.11 c_Groups_Ozero__class_Ozero( X ), Z ), alpha68( X, Y, Z, T ) }.
% 4.69/5.11 (20759) {G0,W10,D2,L2,V4,M2} { ! alpha80( X, Y, Z, T ), alpha68( X, Y, Z,
% 4.69/5.11 T ) }.
% 4.69/5.11 (20760) {G0,W10,D2,L2,V4,M2} { ! alpha80( X, Y, Z, T ), alpha92( X, Y, Z,
% 4.69/5.11 T ) }.
% 4.69/5.11 (20761) {G0,W9,D2,L2,V4,M2} { ! alpha80( X, Y, Z, T ), alpha9( X, Y, Z )
% 4.69/5.11 }.
% 4.69/5.11 (20762) {G0,W14,D2,L3,V4,M3} { ! alpha92( X, Y, Z, T ), ! alpha9( X, Y, Z
% 4.69/5.11 ), alpha80( X, Y, Z, T ) }.
% 4.69/5.11 (20763) {G0,W19,D4,L3,V4,M3} { ! alpha92( X, Y, Z, T ), !
% 4.69/5.11 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ), Z ), T ) }.
% 4.69/5.11 (20764) {G0,W10,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X, Z,
% 4.69/5.11 c_Groups_Ozero__class_Ozero( X ) ), alpha92( X, Y, Z, T ) }.
% 4.69/5.11 (20765) {G0,W14,D4,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.11 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Y
% 4.69/5.11 ), Z ), T ), alpha92( X, Y, Z, T ) }.
% 4.69/5.11 (20766) {G0,W19,D4,L3,V4,M3} { ! alpha42( X, Y, Z, T ), !
% 4.69/5.11 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ), Z ) ) }.
% 4.69/5.11 (20767) {G0,W10,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X,
% 4.69/5.11 c_Groups_Ozero__class_Ozero( X ), Z ), alpha42( X, Y, Z, T ) }.
% 4.69/5.11 (20768) {G0,W14,D4,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X, T,
% 4.69/5.11 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Y
% 4.69/5.11 ), Z ) ), alpha42( X, Y, Z, T ) }.
% 4.69/5.11 (20769) {G0,W16,D3,L3,V3,M3} { ! alpha9( X, Y, Z ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 4.69/5.11 (20770) {G0,W9,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless( X, Z,
% 4.69/5.11 c_Groups_Ozero__class_Ozero( X ) ), alpha9( X, Y, Z ) }.
% 4.69/5.11 (20771) {G0,W11,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.11 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 4.69/5.11 ) ), alpha9( X, Y, Z ) }.
% 4.69/5.11 (20772) {G0,W18,D4,L4,V4,M4} { !
% 4.69/5.11 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 4.69/5.11 ( X ), ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.11 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 4.69/5.11 X, Z ) ), Y ), alpha43( X, Y, Z, T ) }.
% 4.69/5.11 (20773) {G0,W18,D4,L4,V4,M4} { !
% 4.69/5.11 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 4.69/5.11 ( X ), ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.11 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 4.69/5.11 X, Z ) ), Y ), alpha69( X, Y, Z, T ) }.
% 4.69/5.11 (20774) {G0,W23,D4,L5,V4,M5} { !
% 4.69/5.11 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 4.69/5.11 ( X ), ! alpha43( X, Y, Z, T ), ! alpha69( X, Y, Z, T ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Z ) ), Y ) }.
% 4.69/5.11 (20775) {G0,W17,D3,L3,V4,M3} { ! alpha69( X, Y, Z, T ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha81( X, Y, Z, T ) }.
% 4.69/5.11 (20776) {G0,W12,D3,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.11 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 4.69/5.11 ) ), alpha69( X, Y, Z, T ) }.
% 4.69/5.11 (20777) {G0,W10,D2,L2,V4,M2} { ! alpha81( X, Y, Z, T ), alpha69( X, Y, Z,
% 4.69/5.11 T ) }.
% 4.69/5.11 (20778) {G0,W10,D2,L2,V4,M2} { ! alpha81( X, Y, Z, T ), alpha93( X, Y, Z,
% 4.69/5.11 T ) }.
% 4.69/5.11 (20779) {G0,W9,D2,L2,V4,M2} { ! alpha81( X, Y, Z, T ), alpha10( X, Y, Z )
% 4.69/5.11 }.
% 4.69/5.11 (20780) {G0,W14,D2,L3,V4,M3} { ! alpha93( X, Y, Z, T ), ! alpha10( X, Y, Z
% 4.69/5.11 ), alpha81( X, Y, Z, T ) }.
% 4.69/5.11 (20781) {G0,W21,D4,L3,V4,M3} { ! alpha93( X, Y, Z, T ), !
% 4.69/5.11 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 4.69/5.11 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 4.69/5.11 , c_Groups_Otimes__class_Otimes( X, Y, c_Int_Onumber__class_Onumber__of(
% 4.69/5.11 X, Z ) ), T ) }.
% 4.69/5.11 (20782) {G0,W12,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 4.69/5.11 ) ), alpha93( X, Y, Z, T ) }.
% 4.69/5.11 (20783) {G0,W14,D4,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.11 c_Groups_Otimes__class_Otimes( X, Y, c_Int_Onumber__class_Onumber__of( X
% 4.69/5.11 , Z ) ), T ), alpha93( X, Y, Z, T ) }.
% 4.69/5.11 (20784) {G0,W21,D4,L3,V4,M3} { ! alpha43( X, Y, Z, T ), !
% 4.69/5.11 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Z ) ), c_Orderings_Oord__class_Oless
% 4.69/5.11 ( X, T, c_Groups_Otimes__class_Otimes( X, Y,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Z ) ) ) }.
% 4.69/5.11 (20785) {G0,W12,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X,
% 4.69/5.11 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 4.69/5.11 ) ), alpha43( X, Y, Z, T ) }.
% 4.69/5.11 (20786) {G0,W14,D4,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X, T,
% 4.69/5.11 c_Groups_Otimes__class_Otimes( X, Y, c_Int_Onumber__class_Onumber__of( X
% 4.69/5.11 , Z ) ) ), alpha43( X, Y, Z, T ) }.
% 4.69/5.11 (20787) {G0,W16,D3,L3,V3,M3} { ! alpha10( X, Y, Z ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 4.69/5.11 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 4.69/5.11 , c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 4.69/5.11 (20788) {G0,W11,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 4.69/5.11 ) ), alpha10( X, Y, Z ) }.
% 4.69/5.11 (20789) {G0,W9,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.11 c_Groups_Ozero__class_Ozero( X ), Y ), alpha10( X, Y, Z ) }.
% 4.69/5.11 (20790) {G0,W22,D4,L4,V2,M4} { ! class_Int_Onumber__ring( X ), !
% 4.69/5.11 class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 4.69/5.11 ) ), c_Groups_Oabs__class_Oabs( X, c_Int_Onumber__class_Onumber__of( X,
% 4.69/5.11 Y ) ) = c_Groups_Ouminus__class_Ouminus( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 4.69/5.11 (20791) {G0,W20,D4,L4,V2,M4} { ! class_Int_Onumber__ring( X ), !
% 4.69/5.11 class_Rings_Olinordered__idom( X ), c_Orderings_Oord__class_Oless( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 4.69/5.11 ) ), c_Groups_Oabs__class_Oabs( X, c_Int_Onumber__class_Onumber__of( X,
% 4.69/5.11 Y ) ) = c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 4.69/5.11 (20792) {G0,W18,D4,L4,V4,M4} { !
% 4.69/5.11 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 4.69/5.11 ( X ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 4.69/5.11 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 4.69/5.11 X, Y ) ) ), alpha44( X, Y, Z, T ) }.
% 4.69/5.11 (20793) {G0,W18,D4,L4,V4,M4} { !
% 4.69/5.11 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 4.69/5.11 ( X ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 4.69/5.11 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 4.69/5.11 X, Y ) ) ), alpha70( X, Y, Z, T ) }.
% 4.69/5.11 (20794) {G0,W23,D4,L5,V4,M5} { !
% 4.69/5.11 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 4.69/5.11 ( X ), ! alpha44( X, Y, Z, T ), ! alpha70( X, Y, Z, T ),
% 4.69/5.11 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 4.69/5.11 ( X, Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 4.69/5.11 (20795) {G0,W17,D3,L3,V4,M3} { ! alpha70( X, Y, Z, T ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha82( X, Y, Z, T ) }.
% 4.69/5.11 (20796) {G0,W12,D3,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.11 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 4.69/5.11 ) ), alpha70( X, Y, Z, T ) }.
% 4.69/5.11 (20797) {G0,W10,D2,L2,V4,M2} { ! alpha82( X, Y, Z, T ), alpha70( X, Y, Z,
% 4.69/5.11 T ) }.
% 4.69/5.11 (20798) {G0,W10,D2,L2,V4,M2} { ! alpha82( X, Y, Z, T ), alpha94( X, Y, Z,
% 4.69/5.11 T ) }.
% 4.69/5.11 (20799) {G0,W9,D2,L2,V4,M2} { ! alpha82( X, Y, Z, T ), alpha11( X, Y, T )
% 4.69/5.11 }.
% 4.69/5.11 (20800) {G0,W14,D2,L3,V4,M3} { ! alpha94( X, Y, Z, T ), ! alpha11( X, Y, T
% 4.69/5.11 ), alpha82( X, Y, Z, T ) }.
% 4.69/5.11 (20801) {G0,W21,D4,L3,V4,M3} { ! alpha94( X, Y, Z, T ), !
% 4.69/5.11 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 4.69/5.11 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq
% 4.69/5.11 ( X, Z, c_Groups_Otimes__class_Otimes( X, T,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 4.69/5.11 (20802) {G0,W12,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 4.69/5.11 ) ), alpha94( X, Y, Z, T ) }.
% 4.69/5.11 (20803) {G0,W14,D4,L2,V4,M2} { ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 4.69/5.11 c_Groups_Otimes__class_Otimes( X, T, c_Int_Onumber__class_Onumber__of( X
% 4.69/5.11 , Y ) ) ), alpha94( X, Y, Z, T ) }.
% 4.69/5.11 (20804) {G0,W21,D4,L3,V4,M3} { ! alpha44( X, Y, Z, T ), !
% 4.69/5.11 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 4.69/5.11 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 4.69/5.11 , c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ) }.
% 4.69/5.11 (20805) {G0,W12,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X,
% 4.69/5.11 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 4.69/5.11 ) ), alpha44( X, Y, Z, T ) }.
% 4.69/5.11 (20806) {G0,W14,D4,L2,V4,M2} { ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.11 c_Groups_Otimes__class_Otimes( X, T, c_Int_Onumber__class_Onumber__of( X
% 4.69/5.11 , Y ) ), Z ), alpha44( X, Y, Z, T ) }.
% 4.69/5.11 (20807) {G0,W16,D3,L3,V3,M3} { ! alpha11( X, Y, Z ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 4.69/5.11 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq
% 4.69/5.11 ( X, Z, c_Groups_Ozero__class_Ozero( X ) ) }.
% 4.69/5.11 (20808) {G0,W11,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 4.69/5.11 ) ), alpha11( X, Y, Z ) }.
% 4.69/5.11 (20809) {G0,W9,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 4.69/5.11 c_Groups_Ozero__class_Ozero( X ) ), alpha11( X, Y, Z ) }.
% 4.69/5.11 (20810) {G0,W18,D3,L4,V4,M4} { !
% 4.69/5.11 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 4.69/5.11 ( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 4.69/5.11 ( X, Z, Y ) ), alpha45( X, Y, Z, T ) }.
% 4.69/5.11 (20811) {G0,W18,D3,L4,V4,M4} { !
% 4.69/5.11 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 4.69/5.11 ( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 4.69/5.11 ( X, Z, Y ) ), alpha71( X, Y, Z, T ) }.
% 4.69/5.11 (20812) {G0,W23,D3,L5,V4,M5} { !
% 4.69/5.11 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 4.69/5.11 ( X ), ! alpha45( X, Y, Z, T ), ! alpha71( X, Y, Z, T ),
% 4.69/5.11 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 4.69/5.11 , T ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 4.69/5.11 (20813) {G0,W15,D3,L3,V4,M3} { ! alpha71( X, Y, Z, T ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 4.69/5.11 alpha83( X, Y, Z, T ) }.
% 4.69/5.11 (20814) {G0,W10,D3,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.11 c_Groups_Ozero__class_Ozero( X ), Y ), alpha71( X, Y, Z, T ) }.
% 4.69/5.11 (20815) {G0,W10,D2,L2,V4,M2} { ! alpha83( X, Y, Z, T ), alpha71( X, Y, Z,
% 4.69/5.11 T ) }.
% 4.69/5.11 (20816) {G0,W10,D2,L2,V4,M2} { ! alpha83( X, Y, Z, T ), alpha95( X, Y, Z,
% 4.69/5.11 T ) }.
% 4.69/5.11 (20817) {G0,W9,D2,L2,V4,M2} { ! alpha83( X, Y, Z, T ), alpha12( X, Y, T )
% 4.69/5.11 }.
% 4.69/5.11 (20818) {G0,W14,D2,L3,V4,M3} { ! alpha95( X, Y, Z, T ), ! alpha12( X, Y, T
% 4.69/5.11 ), alpha83( X, Y, Z, T ) }.
% 4.69/5.11 (20819) {G0,W19,D4,L3,V4,M3} { ! alpha95( X, Y, Z, T ), !
% 4.69/5.11 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 4.69/5.11 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Otimes__class_Otimes( X
% 4.69/5.11 , c_Int_Onumber__class_Onumber__of( X, T ), Y ) ) }.
% 4.69/5.11 (20820) {G0,W10,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X, Y,
% 4.69/5.11 c_Groups_Ozero__class_Ozero( X ) ), alpha95( X, Y, Z, T ) }.
% 4.69/5.11 (20821) {G0,W14,D4,L2,V4,M2} { ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 4.69/5.11 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 4.69/5.11 ), Y ) ), alpha95( X, Y, Z, T ) }.
% 4.69/5.11 (20822) {G0,W19,D4,L3,V4,M3} { ! alpha45( X, Y, Z, T ), !
% 4.69/5.11 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 4.69/5.11 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, T ), Y ), Z ) }.
% 4.69/5.11 (20823) {G0,W10,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X,
% 4.69/5.11 c_Groups_Ozero__class_Ozero( X ), Y ), alpha45( X, Y, Z, T ) }.
% 4.69/5.11 (20824) {G0,W14,D4,L2,V4,M2} { ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.11 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 4.69/5.11 ), Y ), Z ), alpha45( X, Y, Z, T ) }.
% 4.69/5.11 (20825) {G0,W16,D3,L3,V3,M3} { ! alpha12( X, Y, Z ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 4.69/5.11 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 4.69/5.11 , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 4.69/5.11 (20826) {G0,W9,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless( X, Y,
% 4.69/5.11 c_Groups_Ozero__class_Ozero( X ) ), alpha12( X, Y, Z ) }.
% 4.69/5.11 (20827) {G0,W11,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 4.69/5.11 ) ), alpha12( X, Y, Z ) }.
% 4.69/5.11 (20828) {G0,W18,D3,L4,V4,M4} { !
% 4.69/5.11 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 4.69/5.11 ( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.11 c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha46( X, Y, Z, T ) }.
% 4.69/5.11 (20829) {G0,W18,D3,L4,V4,M4} { !
% 4.69/5.11 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 4.69/5.11 ( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.11 c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 4.69/5.11 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha72( X, Y, Z, T ) }.
% 4.69/5.11 (20830) {G0,W23,D3,L5,V4,M5} { !
% 4.69/5.11 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 4.69/5.11 ( X ), ! alpha46( X, Y, Z, T ), ! alpha72( X, Y, Z, T ),
% 4.69/5.11 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 4.69/5.11 , T, Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 4.69/5.11 (20831) {G0,W15,D3,L3,V4,M3} { ! alpha72( X, Y, Z, T ),
% 4.69/5.11 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 4.69/5.11 alpha84( X, Y, Z, T ) }.
% 4.69/5.12 (20832) {G0,W10,D3,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), Z ), alpha72( X, Y, Z, T ) }.
% 4.69/5.12 (20833) {G0,W10,D2,L2,V4,M2} { ! alpha84( X, Y, Z, T ), alpha72( X, Y, Z,
% 4.69/5.12 T ) }.
% 4.69/5.12 (20834) {G0,W10,D2,L2,V4,M2} { ! alpha84( X, Y, Z, T ), alpha96( X, Y, Z,
% 4.69/5.12 T ) }.
% 4.69/5.12 (20835) {G0,W9,D2,L2,V4,M2} { ! alpha84( X, Y, Z, T ), alpha13( X, Y, Z )
% 4.69/5.12 }.
% 4.69/5.12 (20836) {G0,W14,D2,L3,V4,M3} { ! alpha96( X, Y, Z, T ), ! alpha13( X, Y, Z
% 4.69/5.12 ), alpha84( X, Y, Z, T ) }.
% 4.69/5.12 (20837) {G0,W19,D4,L3,V4,M3} { ! alpha96( X, Y, Z, T ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X,
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( X, Y ), Z ), T ) }.
% 4.69/5.12 (20838) {G0,W10,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X, Z,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ) ), alpha96( X, Y, Z, T ) }.
% 4.69/5.12 (20839) {G0,W14,D4,L2,V4,M2} { ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Y
% 4.69/5.12 ), Z ), T ), alpha96( X, Y, Z, T ) }.
% 4.69/5.12 (20840) {G0,W19,D4,L3,V4,M3} { ! alpha46( X, Y, Z, T ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes( X
% 4.69/5.12 , c_Int_Onumber__class_Onumber__of( X, Y ), Z ) ) }.
% 4.69/5.12 (20841) {G0,W10,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), Z ), alpha46( X, Y, Z, T ) }.
% 4.69/5.12 (20842) {G0,W14,D4,L2,V4,M2} { ! c_Orderings_Oord__class_Oless__eq( X, T,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Y
% 4.69/5.12 ), Z ) ), alpha46( X, Y, Z, T ) }.
% 4.69/5.12 (20843) {G0,W16,D3,L3,V3,M3} { ! alpha13( X, Y, Z ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 4.69/5.12 (20844) {G0,W9,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless( X, Z,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ) ), alpha13( X, Y, Z ) }.
% 4.69/5.12 (20845) {G0,W11,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 4.69/5.12 ) ), alpha13( X, Y, Z ) }.
% 4.69/5.12 (20846) {G0,W18,D4,L4,V4,M4} { !
% 4.69/5.12 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 4.69/5.12 ( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.12 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 4.69/5.12 X, Z ) ), Y ), alpha47( X, Y, Z, T ) }.
% 4.69/5.12 (20847) {G0,W18,D4,L4,V4,M4} { !
% 4.69/5.12 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 4.69/5.12 ( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.12 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 4.69/5.12 X, Z ) ), Y ), alpha73( X, Y, Z, T ) }.
% 4.69/5.12 (20848) {G0,W23,D4,L5,V4,M5} { !
% 4.69/5.12 class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 4.69/5.12 ( X ), ! alpha47( X, Y, Z, T ), ! alpha73( X, Y, Z, T ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 4.69/5.12 , T, c_Int_Onumber__class_Onumber__of( X, Z ) ), Y ) }.
% 4.69/5.12 (20849) {G0,W17,D3,L3,V4,M3} { ! alpha73( X, Y, Z, T ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha85( X, Y, Z, T ) }.
% 4.69/5.12 (20850) {G0,W12,D3,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 4.69/5.12 ) ), alpha73( X, Y, Z, T ) }.
% 4.69/5.12 (20851) {G0,W10,D2,L2,V4,M2} { ! alpha85( X, Y, Z, T ), alpha73( X, Y, Z,
% 4.69/5.12 T ) }.
% 4.69/5.12 (20852) {G0,W10,D2,L2,V4,M2} { ! alpha85( X, Y, Z, T ), alpha97( X, Y, Z,
% 4.69/5.12 T ) }.
% 4.69/5.12 (20853) {G0,W9,D2,L2,V4,M2} { ! alpha85( X, Y, Z, T ), alpha14( X, Y, Z )
% 4.69/5.12 }.
% 4.69/5.12 (20854) {G0,W14,D2,L3,V4,M3} { ! alpha97( X, Y, Z, T ), ! alpha14( X, Y, Z
% 4.69/5.12 ), alpha85( X, Y, Z, T ) }.
% 4.69/5.12 (20855) {G0,W21,D4,L3,V4,M3} { ! alpha97( X, Y, Z, T ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 4.69/5.12 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq
% 4.69/5.12 ( X, c_Groups_Otimes__class_Otimes( X, Y,
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( X, Z ) ), T ) }.
% 4.69/5.12 (20856) {G0,W12,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X,
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 4.69/5.12 ) ), alpha97( X, Y, Z, T ) }.
% 4.69/5.12 (20857) {G0,W14,D4,L2,V4,M2} { ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, Y, c_Int_Onumber__class_Onumber__of( X
% 4.69/5.12 , Z ) ), T ), alpha97( X, Y, Z, T ) }.
% 4.69/5.12 (20858) {G0,W21,D4,L3,V4,M3} { ! alpha47( X, Y, Z, T ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( X, Z ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes( X
% 4.69/5.12 , Y, c_Int_Onumber__class_Onumber__of( X, Z ) ) ) }.
% 4.69/5.12 (20859) {G0,W12,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 4.69/5.12 ) ), alpha47( X, Y, Z, T ) }.
% 4.69/5.12 (20860) {G0,W14,D4,L2,V4,M2} { ! c_Orderings_Oord__class_Oless__eq( X, T,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, Y, c_Int_Onumber__class_Onumber__of( X
% 4.69/5.12 , Z ) ) ), alpha47( X, Y, Z, T ) }.
% 4.69/5.12 (20861) {G0,W16,D3,L3,V3,M3} { ! alpha14( X, Y, Z ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 4.69/5.12 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq
% 4.69/5.12 ( X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 4.69/5.12 (20862) {G0,W11,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 4.69/5.12 ) ), alpha14( X, Y, Z ) }.
% 4.69/5.12 (20863) {G0,W9,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), Y ), alpha14( X, Y, Z ) }.
% 4.69/5.12 (20864) {G0,W21,D6,L4,V2,M4} { !
% 4.69/5.12 class_Fields_Olinordered__field__inverse__zero( X ), !
% 4.69/5.12 class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 4.69/5.12 ) ) ) ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero
% 4.69/5.12 ( X ), Y ) }.
% 4.69/5.12 (20865) {G0,W21,D6,L4,V2,M4} { !
% 4.69/5.12 class_Fields_Olinordered__field__inverse__zero( X ), !
% 4.69/5.12 class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 4.69/5.12 ) ) ) ) ) }.
% 4.69/5.12 (20866) {G0,W21,D6,L4,V2,M4} { !
% 4.69/5.12 class_Fields_Olinordered__field__inverse__zero( X ), !
% 4.69/5.12 class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 4.69/5.12 ) ) ) ) ) }.
% 4.69/5.12 (20867) {G0,W8,D2,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_RealDef_Oreal, Y, X ), c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_RealDef_Oreal, Y, X ) }.
% 4.69/5.12 (20868) {G0,W7,D2,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_RealDef_Oreal, Y, X ), ! Y = X }.
% 4.69/5.12 (20869) {G0,W11,D2,L3,V2,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_RealDef_Oreal, Y, X ), Y = X, c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_RealDef_Oreal, Y, X ) }.
% 4.69/5.12 (20870) {G0,W11,D2,L3,V2,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_RealDef_Oreal, Y, X ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal
% 4.69/5.12 , Y, X ), Y = X }.
% 4.69/5.12 (20871) {G0,W8,D2,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_RealDef_Oreal, Y, X ), c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_RealDef_Oreal, Y, X ) }.
% 4.69/5.12 (20872) {G0,W7,D2,L2,V2,M2} { ! Y = X, c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_RealDef_Oreal, Y, X ) }.
% 4.69/5.12 (20873) {G0,W14,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_RealDef_Oreal, Y, X ), c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, Y ),
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, X ) ) }.
% 4.69/5.12 (20874) {G0,W18,D4,L1,V3,M1} { c_Groups_Otimes__class_Otimes(
% 4.69/5.12 tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, Y ),
% 4.69/5.12 X ) = c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 4.69/5.12 (20875) {G0,W15,D4,L1,V2,M1} { c_RealDef_Oreal( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) =
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, c_RealDef_Oreal(
% 4.69/5.12 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 4.69/5.12 (20876) {G0,W9,D4,L1,V1,M1} { c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal
% 4.69/5.12 , c_RealDef_Oreal( tc_Nat_Onat, X ) ) = c_RealDef_Oreal( tc_Nat_Onat, X )
% 4.69/5.12 }.
% 4.69/5.12 (20877) {G0,W29,D5,L2,V5,M2} { ! class_Rings_Oring( X ),
% 4.69/5.12 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, U, T
% 4.69/5.12 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 4.69/5.12 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( X, T, Y ) ), c_Groups_Otimes__class_Otimes
% 4.69/5.12 ( X, c_Groups_Ominus__class_Ominus( X, U, Z ), Y ) ) }.
% 4.69/5.12 (20878) {G0,W12,D4,L1,V2,M1} { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ) ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) }.
% 4.69/5.12 (20879) {G0,W15,D4,L1,V2,M1} { c_RealDef_Oreal( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) =
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 4.69/5.12 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 4.69/5.12 (20880) {G0,W12,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ), X ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ), Y ) }.
% 4.69/5.12 (20881) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ), X ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 4.69/5.12 (20882) {G0,W16,D3,L3,V2,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X )
% 4.69/5.12 , Y ), ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ), X ) }.
% 4.69/5.12 (20883) {G0,W11,D4,L1,V2,M1} { c_Groups_Ominus__class_Ominus(
% 4.69/5.12 tc_RealDef_Oreal, Y, X ) = c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal
% 4.69/5.12 , Y, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) }.
% 4.69/5.12 (20884) {G0,W11,D4,L1,V2,M1} { c_Groups_Ominus__class_Ominus(
% 4.69/5.12 tc_RealDef_Oreal, Y, X ) = c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal
% 4.69/5.12 , Y, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) }.
% 4.69/5.12 (20885) {G0,W17,D5,L1,V2,M1} { c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal
% 4.69/5.12 , c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y,
% 4.69/5.12 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) ) =
% 4.69/5.12 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus
% 4.69/5.12 ( tc_RealDef_Oreal, X, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal
% 4.69/5.12 , Y ) ) ) }.
% 4.69/5.12 (20886) {G0,W36,D6,L1,V4,M1} { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, T, Z ),
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ),
% 4.69/5.12 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) ) ),
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs
% 4.69/5.12 ( tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, T,
% 4.69/5.12 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ) ),
% 4.69/5.12 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus
% 4.69/5.12 ( tc_RealDef_Oreal, Z, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal
% 4.69/5.12 , X ) ) ) ) ) }.
% 4.69/5.12 (20887) {G0,W18,D6,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_RealDef_Oreal, Y, X ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal
% 4.69/5.12 , Y, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 4.69/5.12 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 4.69/5.12 (20888) {G0,W5,D3,L1,V0,M1} { c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol10
% 4.69/5.12 ) }.
% 4.69/5.12 (20889) {G0,W53,D7,L3,V1,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 4.69/5.12 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ) ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.12 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ),
% 4.69/5.12 skol10 ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.12 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 4.69/5.12 tc_Complex_Ocomplex, v_p, X ), c_Polynomial_Opoly( tc_Complex_Ocomplex,
% 4.69/5.12 v_p, v_z____ ) ) ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.69/5.12 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.69/5.12 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 4.69/5.12 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Int_Onumber__class_Onumber__of(
% 4.69/5.12 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 4.69/5.12 (20890) {G0,W33,D7,L1,V0,M1} { c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 4.69/5.12 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 4.69/5.12 v_N1____, v_N2____ ) ) ) ), c_Rings_Oinverse__class_Odivide(
% 4.69/5.12 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.69/5.12 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.69/5.12 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 4.69/5.12 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Int_Onumber__class_Onumber__of(
% 4.69/5.12 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 4.69/5.12 (20891) {G0,W32,D9,L1,V0,M1} { c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.69/5.12 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.69/5.12 ( tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ),
% 4.69/5.12 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) ),
% 4.69/5.12 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 4.69/5.12 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 4.69/5.12 v_N1____, v_N2____ ) ) ) ) ) }.
% 4.69/5.12 (20892) {G0,W32,D8,L1,V0,M1} { c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.69/5.12 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ),
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 4.69/5.12 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 4.69/5.12 tc_Nat_Onat, c_Nat_OSuc( hAPP( v_f____, c_Groups_Oplus__class_Oplus(
% 4.69/5.12 tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ) ) ) }.
% 4.69/5.12 (20893) {G0,W30,D7,L1,V0,M1} { c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.69/5.12 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ),
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 4.69/5.12 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 4.69/5.12 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 4.69/5.12 v_N1____, v_N2____ ) ) ) ) ) ) }.
% 4.69/5.12 (20894) {G0,W86,D8,L3,V0,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 4.69/5.12 c_Int_OBit1( c_Int_OPls ) ) ), c_Groups_Oabs__class_Oabs(
% 4.69/5.12 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.69/5.12 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.69/5.12 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 4.69/5.12 ( tc_RealDef_Oreal, v_s____ ) ) ) ), c_RealDef_Oreal( tc_Nat_Onat,
% 4.69/5.12 c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____
% 4.69/5.12 ) ) ) ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 4.69/5.12 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 4.69/5.12 c_Int_OBit1( c_Int_OPls ) ) ), c_Groups_Oabs__class_Oabs(
% 4.69/5.12 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.69/5.12 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.69/5.12 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 4.69/5.12 ( tc_RealDef_Oreal, v_s____ ) ) ) ) ), c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_RealDef_Oreal, c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal,
% 4.69/5.12 c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( c_Groups_Oplus__class_Oplus(
% 4.69/5.12 tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ), c_Rings_Oinverse__class_Oinverse
% 4.69/5.12 ( tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 4.69/5.12 c_Int_OBit1( c_Int_OPls ) ) ), c_Groups_Oabs__class_Oabs(
% 4.69/5.12 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.69/5.12 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.69/5.12 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 4.69/5.12 ( tc_RealDef_Oreal, v_s____ ) ) ) ) ) ) }.
% 4.69/5.12 (20895) {G0,W16,D6,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, skol11, X ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal
% 4.69/5.12 , c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, v_g____( hAPP(
% 4.69/5.12 v_f____, X ) ), v_z____ ) ), v_d____ ) }.
% 4.69/5.12 (20896) {G0,W36,D8,L1,V0,M1} { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 4.69/5.12 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 4.69/5.12 tc_Nat_Onat, c_Nat_OSuc( hAPP( v_f____, c_Groups_Oplus__class_Oplus(
% 4.69/5.12 tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ) ), c_Groups_Oplus__class_Oplus
% 4.69/5.12 ( tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 4.69/5.12 v_s____ ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 4.69/5.12 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 4.69/5.12 v_N1____, v_N2____ ) ) ) ) ) ) }.
% 4.69/5.12 (20897) {G0,W25,D4,L3,V1,M3} { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), v_r )
% 4.69/5.12 , ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.69/5.12 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ), v_r ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.69/5.12 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.69/5.12 ( tc_Complex_Ocomplex, v_p, skol12 ) ), c_RealVector_Onorm__class_Onorm(
% 4.69/5.12 tc_Complex_Ocomplex, c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, X ) )
% 4.69/5.12 ) }.
% 4.69/5.12 (20898) {G0,W26,D7,L1,V0,M1} { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 4.69/5.12 tc_Nat_Onat, c_Nat_OSuc( hAPP( v_f____, c_Groups_Oplus__class_Oplus(
% 4.69/5.12 tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ),
% 4.69/5.12 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 4.69/5.12 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 4.69/5.12 v_N1____, v_N2____ ) ) ) ) ) }.
% 4.69/5.12 (20899) {G0,W6,D3,L1,V0,M1} { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_RealDef_Oreal, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ),
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 4.69/5.12 (20900) {G0,W6,D3,L1,V0,M1} { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 4.69/5.12 (20901) {G0,W7,D4,L1,V0,M1} { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Complex_Ocomplex ) ), v_r ) }.
% 4.69/5.12 (20902) {G0,W19,D7,L1,V0,M1} { c_RealVector_Onorm__class_Onorm(
% 4.69/5.12 tc_Complex_Ocomplex, c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Complex_Ocomplex ) ) ) =
% 4.69/5.12 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 4.69/5.12 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.69/5.12 ( tc_Complex_Ocomplex, v_p, c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_Complex_Ocomplex ) ) ) ) ) }.
% 4.69/5.12 (20903) {G0,W21,D4,L3,V2,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X
% 4.69/5.12 ), v_r ), ! c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.69/5.12 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, X ) ) =
% 4.69/5.12 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y,
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 4.69/5.12 (20904) {G0,W5,D3,L1,V1,M1} { c_Int_Onumber__class_Onumber__of(
% 4.69/5.12 tc_Int_Oint, X ) = X }.
% 4.69/5.12 (20905) {G0,W17,D4,L3,V2,M3} { ! class_Int_Onumber( X ), !
% 4.69/5.12 class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Oinverse( X,
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 4.69/5.12 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X ),
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 4.69/5.12 (20906) {G0,W13,D4,L2,V1,M2} { X = c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_RealDef_Oreal ), c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 4.69/5.12 c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, X ), X ) =
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 4.69/5.12 (20907) {G0,W8,D5,L1,V0,M1} { c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc(
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) =
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 4.69/5.12 (20908) {G0,W7,D4,L1,V0,M1} { c_Rings_Oinverse__class_Oinverse(
% 4.69/5.12 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 4.69/5.12 (20909) {G0,W5,D3,L1,V0,M1} { ! c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_RealDef_Oreal ) = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 4.69/5.12 (20910) {G0,W7,D4,L1,V1,M1} { c_Groups_Otimes__class_Otimes(
% 4.69/5.12 tc_RealDef_Oreal, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) = X
% 4.69/5.12 }.
% 4.69/5.12 (20911) {G0,W6,D3,L1,V0,M1} { c_Groups_Ozero__class_Ozero( tc_Int_Oint ) =
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OPls ) }.
% 4.69/5.12 (20912) {G0,W4,D3,L1,V0,M1} { c_Int_OPls = c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_Int_Oint ) }.
% 4.69/5.12 (20913) {G0,W7,D4,L1,V1,M1} { c_Groups_Oplus__class_Oplus( tc_Int_Oint, X
% 4.69/5.12 , c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) = X }.
% 4.69/5.12 (20914) {G0,W7,D4,L1,V1,M1} { c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ) = X }.
% 4.69/5.12 (20915) {G0,W7,D4,L1,V0,M1} { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint
% 4.69/5.12 , c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 4.69/5.12 (20916) {G0,W11,D4,L1,V2,M1} { c_Rings_Oinverse__class_Odivide(
% 4.69/5.12 tc_RealDef_Oreal, Y, X ) = c_Groups_Otimes__class_Otimes(
% 4.69/5.12 tc_RealDef_Oreal, Y, c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal,
% 4.69/5.12 X ) ) }.
% 4.69/5.12 (20917) {G0,W11,D4,L1,V2,M1} { c_Rings_Oinverse__class_Odivide(
% 4.69/5.12 tc_RealDef_Oreal, Y, X ) = c_Groups_Otimes__class_Otimes(
% 4.69/5.12 tc_RealDef_Oreal, Y, c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal,
% 4.69/5.12 X ) ) }.
% 4.69/5.12 (20918) {G0,W11,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Int_Oint, c_Int_OBit1( X ), c_Groups_Ozero__class_Ozero( tc_Int_Oint )
% 4.69/5.12 ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 4.69/5.12 (20919) {G0,W11,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Int_Oint, X, c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ),
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 4.69/5.12 (20920) {G0,W5,D3,L1,V0,M1} { ! c_Orderings_Oord__class_Oless( tc_Int_Oint
% 4.69/5.12 , c_Int_OPls, c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 4.69/5.12 (20921) {G0,W11,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Int_Oint, c_Int_OBit0( X ), c_Groups_Ozero__class_Ozero( tc_Int_Oint )
% 4.69/5.12 ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 4.69/5.12 (20922) {G0,W11,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Int_Oint, X, c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ),
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 4.69/5.12 (20923) {G0,W10,D3,L2,V1,M2} { ! c_RealDef_Oreal( tc_Nat_Onat, X ) =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 4.69/5.12 (20924) {G0,W10,D3,L2,V1,M2} { ! X = c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_Nat_Onat ), c_RealDef_Oreal( tc_Nat_Onat, X ) =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 4.69/5.12 (20925) {G0,W7,D4,L1,V0,M1} { c_RealDef_Oreal( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 4.69/5.12 (20926) {G0,W19,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Int_Oint, Y, X ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Z ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Otimes__class_Otimes
% 4.69/5.12 ( tc_Int_Oint, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X )
% 4.69/5.12 ) }.
% 4.69/5.12 (20927) {G0,W12,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Int_Oint, X, c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 4.69/5.12 c_Groups_Oabs__class_Oabs( tc_Int_Oint, X ) =
% 4.69/5.12 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) }.
% 4.69/5.12 (20928) {G0,W10,D3,L2,V1,M2} { c_Orderings_Oord__class_Oless( tc_Int_Oint
% 4.69/5.12 , X, c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 4.69/5.12 c_Groups_Oabs__class_Oabs( tc_Int_Oint, X ) = X }.
% 4.69/5.12 (20929) {G0,W12,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ),
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 4.69/5.12 (20930) {G0,W12,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Int_Oint, c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ),
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 4.69/5.12 (20931) {G0,W9,D4,L1,V1,M1} { c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 4.69/5.12 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ), X ) =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 4.69/5.12 (20932) {G0,W15,D5,L3,V1,M3} { ! class_Fields_Ofield( X ), !
% 4.69/5.12 class_Int_Onumber__ring( X ), c_Rings_Oinverse__class_Oinverse( X,
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ) ) =
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ) }.
% 4.69/5.12 (20933) {G0,W23,D5,L2,V2,M2} { ! class_Rings_Oring__1( X ),
% 4.69/5.12 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, Y, Y
% 4.69/5.12 ), c_Groups_Oone__class_Oone( X ) ) = c_Groups_Otimes__class_Otimes( X,
% 4.69/5.12 c_Groups_Oplus__class_Oplus( X, Y, c_Groups_Oone__class_Oone( X ) ),
% 4.69/5.12 c_Groups_Ominus__class_Ominus( X, Y, c_Groups_Oone__class_Oone( X ) ) )
% 4.69/5.12 }.
% 4.69/5.12 (20934) {G0,W19,D5,L2,V2,M2} { ! class_Int_Onumber__ring( X ),
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( Y ) ) =
% 4.69/5.12 c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X,
% 4.69/5.12 c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X, Y )
% 4.69/5.12 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 4.69/5.12 (20935) {G0,W9,D4,L2,V1,M2} { ! class_Int_Onumber__ring( X ),
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ) =
% 4.69/5.12 c_Groups_Oone__class_Oone( X ) }.
% 4.69/5.12 (20936) {G0,W16,D4,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal
% 4.69/5.12 , c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 4.69/5.12 tc_Nat_Onat, Y ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 4.69/5.12 c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 4.69/5.12 (20937) {G0,W16,D4,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 4.69/5.12 c_RealDef_Oreal( tc_Nat_Onat, Y ), c_Groups_Oone__class_Oone(
% 4.69/5.12 tc_RealDef_Oreal ) ), c_RealDef_Oreal( tc_Nat_Onat, X ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 4.69/5.12 (20938) {G0,W16,D4,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.12 c_RealDef_Oreal( tc_Nat_Onat, Y ), c_Groups_Oplus__class_Oplus(
% 4.69/5.12 tc_RealDef_Oreal, c_RealDef_Oreal( tc_Nat_Onat, X ),
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) ) }.
% 4.69/5.12 (20939) {G0,W16,D4,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_RealDef_Oreal, c_RealDef_Oreal( tc_Nat_Onat, Y ),
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 4.69/5.12 tc_Nat_Onat, X ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 4.69/5.12 (20940) {G0,W12,D4,L1,V1,M1} { c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( X
% 4.69/5.12 ) ) = c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 4.69/5.12 tc_Nat_Onat, X ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 4.69/5.12 (20941) {G0,W10,D4,L1,V1,M1} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ),
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), X ) }.
% 4.69/5.12 (20942) {G0,W11,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_RealDef_Oreal, c_RealDef_Oreal( tc_Nat_Onat, X ),
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), X =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 4.69/5.12 (20943) {G0,W11,D3,L2,V1,M2} { ! X = c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_Nat_Onat ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.69/5.12 c_RealDef_Oreal( tc_Nat_Onat, X ), c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_RealDef_Oreal ) ) }.
% 4.69/5.12 (20944) {G0,W12,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 4.69/5.12 c_RealDef_Oreal( tc_Nat_Onat, X ) ), c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 4.69/5.12 (20945) {G0,W12,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 4.69/5.12 tc_Nat_Onat, X ) ) }.
% 4.69/5.12 (20946) {G0,W35,D6,L4,V3,M4} { ! class_Rings_Odivision__ring( X ), Y =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.12 c_Groups_Ominus__class_Ominus( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 4.69/5.12 ), c_Rings_Oinverse__class_Oinverse( X, Z ) ) =
% 4.69/5.12 c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes( X,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 4.69/5.12 ), c_Groups_Ominus__class_Ominus( X, Y, Z ) ),
% 4.69/5.12 c_Rings_Oinverse__class_Oinverse( X, Z ) ) ) }.
% 4.69/5.12 (20947) {G0,W18,D5,L2,V2,M2} { ! class_Int_Onumber__ring( X ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X,
% 4.69/5.12 c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ),
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( Y ) ) }.
% 4.69/5.12 (20948) {G0,W11,D4,L1,V1,M1} { c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oone__class_Oone
% 4.69/5.12 ( tc_RealDef_Oreal ), c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) )
% 4.69/5.12 ) }.
% 4.69/5.12 (20949) {G0,W41,D7,L4,V4,M4} { ! class_RealVector_Oreal__normed__field( X
% 4.69/5.12 ), Y = c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero
% 4.69/5.12 ( X ), c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus
% 4.69/5.12 ( X, c_Rings_Oinverse__class_Oinverse( X, Y ),
% 4.69/5.12 c_Rings_Oinverse__class_Oinverse( X, Z ) ), T ) =
% 4.69/5.12 c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes( X,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 4.69/5.12 ), c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X
% 4.69/5.12 , Y, Z ), T ) ), c_Rings_Oinverse__class_Oinverse( X, Z ) ) ) }.
% 4.69/5.12 (20950) {G0,W16,D3,L4,V2,M4} { ! class_Int_Onumber__ring( X ), !
% 4.69/5.12 class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 X, c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Oone__class_Oone( X
% 4.69/5.12 ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OBit1(
% 4.69/5.12 c_Int_OPls ) ) }.
% 4.69/5.12 (20951) {G0,W16,D3,L4,V2,M4} { ! class_Int_Onumber__ring( X ), !
% 4.69/5.12 class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 4.69/5.12 , Y ), c_Groups_Oone__class_Oone( X ) ) }.
% 4.69/5.12 (20952) {G0,W16,D3,L4,V2,M4} { ! class_Int_Onumber__ring( X ), !
% 4.69/5.12 class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 X, c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 4.69/5.12 ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1(
% 4.69/5.12 c_Int_OPls ), Y ) }.
% 4.69/5.12 (20953) {G0,W16,D3,L4,V2,M4} { ! class_Int_Onumber__ring( X ), !
% 4.69/5.12 class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 4.69/5.12 (20954) {G0,W14,D5,L2,V1,M2} { ! class_Int_Onumber__ring( X ),
% 4.69/5.12 c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 4.69/5.12 c_Groups_Oone__class_Oone( X ) ) = c_Int_Onumber__class_Onumber__of( X,
% 4.69/5.12 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) }.
% 4.69/5.12 (20955) {G0,W16,D3,L4,V2,M4} { ! class_Int_Onumber__ring( X ), !
% 4.69/5.12 class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Oone__class_Oone( X )
% 4.69/5.12 ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OBit1(
% 4.69/5.12 c_Int_OPls ) ) }.
% 4.69/5.12 (20956) {G0,W16,D3,L4,V2,M4} { ! class_Int_Onumber__ring( X ), !
% 4.69/5.12 class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 4.69/5.12 ), c_Groups_Oone__class_Oone( X ) ) }.
% 4.69/5.12 (20957) {G0,W16,D3,L4,V2,M4} { ! class_Int_Onumber__ring( X ), !
% 4.69/5.12 class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.12 c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X, Y )
% 4.69/5.12 ), c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 4.69/5.12 , Y ) }.
% 4.69/5.12 (20958) {G0,W16,D3,L4,V2,M4} { ! class_Int_Onumber__ring( X ), !
% 4.69/5.12 class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 4.69/5.12 (20959) {G0,W17,D5,L2,V2,M2} { ! class_Int_Onumber__ring( X ),
% 4.69/5.12 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X, Y )
% 4.69/5.12 , c_Groups_Oone__class_Oone( X ) ) = c_Int_Onumber__class_Onumber__of( X
% 4.69/5.12 , c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls )
% 4.69/5.12 ) ) }.
% 4.69/5.12 (20960) {G0,W17,D5,L2,V2,M2} { ! class_Int_Onumber__ring( X ),
% 4.69/5.12 c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 4.69/5.12 tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y ) ) }.
% 4.69/5.12 (20961) {G0,W19,D6,L2,V2,M2} { ! class_Int_Onumber__ring( X ),
% 4.69/5.12 c_Groups_Ominus__class_Ominus( X, c_Int_Onumber__class_Onumber__of( X, Y
% 4.69/5.12 ), c_Groups_Oone__class_Oone( X ) ) = c_Int_Onumber__class_Onumber__of(
% 4.69/5.12 X, c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 4.69/5.12 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OBit1( c_Int_OPls ) )
% 4.69/5.12 ) ) }.
% 4.69/5.12 (20962) {G0,W19,D5,L2,V2,M2} { ! class_Int_Onumber__ring( X ),
% 4.69/5.12 c_Groups_Ominus__class_Ominus( X, c_Groups_Oone__class_Oone( X ),
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 4.69/5.12 tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), c_Groups_Ouminus__class_Ouminus(
% 4.69/5.12 tc_Int_Oint, Y ) ) ) }.
% 4.69/5.12 (20963) {G0,W7,D4,L1,V1,M1} { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.69/5.12 skol13( Y ) ), v_r ) }.
% 4.69/5.12 (20964) {G0,W22,D6,L1,V1,M1} { c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.69/5.12 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, skol13( X ) ) ),
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 4.69/5.12 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 4.69/5.12 tc_Nat_Onat, c_Nat_OSuc( X ) ) ) ) ) }.
% 4.69/5.12 (20965) {G0,W8,D4,L1,V1,M1} { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.69/5.12 hAPP( skol14, X ) ), v_r ) }.
% 4.69/5.12 (20966) {G0,W23,D6,L1,V1,M1} { c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.69/5.12 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, hAPP( skol14, X ) ) ),
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 4.69/5.12 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 4.69/5.12 tc_Nat_Onat, c_Nat_OSuc( X ) ) ) ) ) }.
% 4.69/5.12 (20967) {G0,W7,D4,L1,V1,M1} { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.69/5.12 skol15( Y ) ), v_r ) }.
% 4.69/5.12 (20968) {G0,W22,D6,L1,V1,M1} { c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.69/5.12 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, skol15( X ) ) ),
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 4.69/5.12 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 4.69/5.12 tc_Nat_Onat, c_Nat_OSuc( X ) ) ) ) ) }.
% 4.69/5.12 (20969) {G0,W17,D6,L3,V1,M3} { !
% 4.69/5.12 class_Fields_Olinordered__field__inverse__zero( X ), !
% 4.69/5.12 class_Int_Onumber__ring( X ), c_Orderings_Oord__class_Oless( X,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 4.69/5.12 c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X,
% 4.69/5.12 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 4.69/5.12 (20970) {G0,W23,D8,L1,V1,M1} { c_Groups_Otimes__class_Otimes(
% 4.69/5.12 tc_RealDef_Oreal, c_RealDef_Oreal( tc_Nat_Onat, X ),
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 4.69/5.12 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) = c_RealDef_Oreal(
% 4.69/5.12 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit0(
% 4.69/5.12 c_Int_OBit1( c_Int_OPls ) ) ) ), X ) ) }.
% 4.69/5.12 (20971) {G0,W23,D4,L4,V3,M4} { !
% 4.69/5.12 class_RealVector_Oreal__normed__div__algebra( X ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z,
% 4.69/5.12 c_RealVector_Onorm__class_Onorm( X, Y ) ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Z ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.69/5.12 c_RealVector_Onorm__class_Onorm( X, c_Rings_Oinverse__class_Oinverse( X,
% 4.69/5.12 Y ) ), c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, Z ) ) }.
% 4.69/5.12 (20972) {G0,W31,D5,L4,V4,M4} { ! class_RealVector_Oreal__normed__vector( X
% 4.69/5.12 ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Z ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.69/5.12 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol16( X, Y, Z ) ) ), Z ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.12 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, T ) ), c_RealDef_Oreal(
% 4.69/5.12 tc_Nat_Onat, c_Nat_OSuc( skol29( X, Y ) ) ) ) }.
% 4.69/5.12 (20973) {G0,W23,D5,L3,V5,M3} { ! class_RealVector_Oreal__normed__vector( X
% 4.69/5.12 ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.12 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol32( X, Y, Z ) ) ),
% 4.69/5.12 c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( Z ) ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol34( T, U ) ) }.
% 4.69/5.12 (20974) {G0,W26,D5,L3,V4,M3} { ! class_RealVector_Oreal__normed__vector( X
% 4.69/5.12 ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.12 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol32( X, Y, Z ) ) ),
% 4.69/5.12 c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( Z ) ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.69/5.12 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, T ) ), skol34( X, Y ) ) }.
% 4.69/5.12 (20975) {G0,W5,D3,L1,V0,M1} { ! c_Groups_Ozero__class_Ozero( tc_Int_Oint )
% 4.69/5.12 = c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 4.69/5.12 (20976) {G0,W6,D3,L1,V0,M1} { c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oone__class_Oone(
% 4.69/5.12 tc_Int_Oint ) ) }.
% 4.69/5.12 (20977) {G0,W11,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Int_Oint, c_Groups_Oabs__class_Oabs( tc_Int_Oint, X ),
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_Int_Oint ) ), X =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 4.69/5.12 (20978) {G0,W11,D3,L2,V1,M2} { ! X = c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_Int_Oint ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 4.69/5.12 c_Groups_Oabs__class_Oabs( tc_Int_Oint, X ), c_Groups_Oone__class_Oone(
% 4.69/5.12 tc_Int_Oint ) ) }.
% 4.69/5.12 (20979) {G0,W11,D5,L1,V1,M1} { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint
% 4.69/5.12 , c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oone__class_Oone(
% 4.69/5.12 tc_Int_Oint ), X ), X ) = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 4.69/5.12 (20980) {G0,W7,D4,L1,V1,M1} { c_Groups_Otimes__class_Otimes( tc_Int_Oint,
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ) = X }.
% 4.69/5.12 (20981) {G0,W7,D4,L1,V1,M1} { c_Groups_Otimes__class_Otimes( tc_Int_Oint,
% 4.69/5.12 X, c_Groups_Oone__class_Oone( tc_Int_Oint ) ) = X }.
% 4.69/5.12 (20982) {G0,W15,D4,L2,V2,M2} { ! c_Groups_Oabs__class_Oabs( tc_Int_Oint,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y ) ) =
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_Int_Oint ), c_Groups_Oabs__class_Oabs(
% 4.69/5.12 tc_Int_Oint, X ) = c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 4.69/5.12 (20983) {G0,W11,D5,L1,V1,M1} { c_Int_OBit1( X ) =
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 4.69/5.12 tc_Int_Oint, c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ) }.
% 4.69/5.12 (20984) {G0,W10,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Int_Oint, c_Groups_Oone__class_Oone( tc_Int_Oint ), X ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_Int_Oint ), X ) }.
% 4.69/5.12 (20985) {G0,W10,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Groups_Oone__class_Oone
% 4.69/5.12 ( tc_Int_Oint ), X ) }.
% 4.69/5.12 (20986) {G0,W15,D4,L3,V2,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Int_Oint, Y, c_Groups_Oplus__class_Oplus( tc_Int_Oint, X,
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_Int_Oint ) ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), Y = X }.
% 4.69/5.12 (20987) {G0,W12,D4,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 4.69/5.12 tc_Int_Oint ) ) ) }.
% 4.69/5.12 (20988) {G0,W11,D4,L2,V2,M2} { ! Y = X, c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Int_Oint, Y, c_Groups_Oplus__class_Oplus( tc_Int_Oint, X,
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_Int_Oint ) ) ) }.
% 4.69/5.12 (20989) {G0,W17,D5,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oone__class_Oone(
% 4.69/5.12 tc_Int_Oint ), X ), X ), c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 4.69/5.12 (20990) {G0,W17,D5,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Int_Oint, X, c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 4.69/5.12 tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ),
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 4.69/5.12 (20991) {G0,W16,D3,L3,V2,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y ) =
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_Int_Oint ), X = c_Groups_Oone__class_Oone(
% 4.69/5.12 tc_Int_Oint ) }.
% 4.69/5.12 (20992) {G0,W16,D3,L3,V2,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y ) =
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_Int_Oint ), Y = c_Groups_Oone__class_Oone(
% 4.69/5.12 tc_Int_Oint ) }.
% 4.69/5.12 (20993) {G0,W20,D3,L4,V2,M4} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), ! X =
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_Int_Oint ), ! Y = c_Groups_Oone__class_Oone
% 4.69/5.12 ( tc_Int_Oint ), c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y ) =
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 4.69/5.12 (20994) {G0,W7,D4,L1,V0,M1} { c_RealDef_Oreal( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) = c_Groups_Oone__class_Oone(
% 4.69/5.12 tc_RealDef_Oreal ) }.
% 4.69/5.12 (20995) {G0,W7,D4,L1,V0,M1} { c_Groups_Oone__class_Oone( tc_Int_Oint ) =
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 4.69/5.12 ) }.
% 4.69/5.12 (20996) {G0,W12,D4,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Int_Oint, Y, c_Groups_Oplus__class_Oplus( tc_Int_Oint, X,
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_Int_Oint ) ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 4.69/5.12 (20997) {G0,W12,D4,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 4.69/5.12 tc_Int_Oint ) ) ) }.
% 4.69/5.12 (20998) {G0,W12,D4,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_Int_Oint ) ), X ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 4.69/5.12 (20999) {G0,W12,D4,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 4.69/5.12 tc_Int_Oint ) ), X ) }.
% 4.69/5.12 (21000) {G0,W12,D4,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 4.69/5.12 tc_Int_Oint ) ), X ) }.
% 4.69/5.12 (21001) {G0,W14,D4,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_Int_Oint ), c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ) ) }.
% 4.69/5.12 (21002) {G0,W12,D4,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Int_Oint, Y, c_Groups_Ominus__class_Ominus( tc_Int_Oint, X,
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_Int_Oint ) ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 4.69/5.12 (21003) {G0,W12,D4,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Int_Oint, X, c_Groups_Oone__class_Oone
% 4.69/5.12 ( tc_Int_Oint ) ) ) }.
% 4.69/5.12 (21004) {G0,W12,D4,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 4.69/5.12 skol17( X, Y ) ) }.
% 4.69/5.12 (21005) {G0,W10,D3,L2,V3,M2} { ! X = c_Groups_Oplus__class_Oplus(
% 4.69/5.12 tc_Nat_Onat, Y, Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X
% 4.69/5.12 ) }.
% 4.69/5.12 (21006) {G0,W14,D3,L3,V3,M3} { ! c_SEQ_Osubseq( X ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X, Y ), hAPP( X, Z ) )
% 4.69/5.12 }.
% 4.69/5.12 (21007) {G0,W8,D3,L2,V1,M2} { c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 4.69/5.12 skol18( X ), skol30( X ) ), c_SEQ_Osubseq( X ) }.
% 4.69/5.12 (21008) {G0,W12,D4,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, hAPP( X, skol18( X ) ), hAPP( X, skol30( X ) ) ),
% 4.69/5.12 c_SEQ_Osubseq( X ) }.
% 4.69/5.12 (21009) {G0,W8,D3,L2,V2,M2} { ! c_SEQ_Osubseq( X ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, hAPP( X, Y ) ) }.
% 4.69/5.12 (21010) {G0,W11,D4,L2,V2,M2} { ! c_SEQ_Osubseq( X ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X, Y ), hAPP( X,
% 4.69/5.12 c_Nat_OSuc( Y ) ) ) }.
% 4.69/5.12 (21011) {G0,W13,D5,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, hAPP( X, skol19( X ) ), hAPP( X, c_Nat_OSuc( skol19( X ) ) )
% 4.69/5.12 ), c_SEQ_Osubseq( X ) }.
% 4.69/5.12 (21012) {G0,W20,D4,L3,V3,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_RealDef_Oreal, X, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X,
% 4.69/5.12 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Z ) ) ), Y =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 4.69/5.12 (21013) {G0,W34,D4,L4,V4,M4} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, T ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 4.69/5.12 c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, X ), T ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 4.69/5.12 c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, Y ), Z ) ) }.
% 4.69/5.12 (21014) {G0,W34,D4,L4,V4,M4} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, T ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, T,
% 4.69/5.12 c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, X ) ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z,
% 4.69/5.12 c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, Y ) ) ) }.
% 4.69/5.12 (21015) {G0,W22,D4,L4,V4,M4} { ! class_RealVector_Oreal__normed__vector( X
% 4.69/5.12 ), ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.69/5.12 c_RealVector_Onorm__class_Onorm( X, Z ), c_Groups_Otimes__class_Otimes(
% 4.69/5.12 tc_RealDef_Oreal, Y, c_RealVector_Onorm__class_Onorm( X, T ) ) ), Z =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.12 (21016) {G0,W31,D5,L4,V4,M4} { ! class_RealVector_Oreal__normed__vector( X
% 4.69/5.12 ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Z ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.69/5.12 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol20( X, Y, Z ) ) ), Z ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.69/5.12 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, T ) ), c_RealDef_Oreal(
% 4.69/5.12 tc_Nat_Onat, c_Nat_OSuc( skol31( X, Y ) ) ) ) }.
% 4.69/5.12 (21017) {G0,W23,D5,L3,V5,M3} { ! class_RealVector_Oreal__normed__vector( X
% 4.69/5.12 ), ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.69/5.12 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol33( X, Y, Z ) ) ),
% 4.69/5.12 c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( Z ) ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol35( T, U ) ) }.
% 4.69/5.12 (21018) {G0,W26,D5,L3,V4,M3} { ! class_RealVector_Oreal__normed__vector( X
% 4.69/5.12 ), ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.69/5.12 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol33( X, Y, Z ) ) ),
% 4.69/5.12 c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( Z ) ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.69/5.12 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, T ) ), skol35( X, Y ) ) }.
% 4.69/5.12 (21019) {G0,W6,D3,L1,V1,M1} { c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Nat_OSuc( X ) ) }.
% 4.69/5.12 (21020) {G0,W21,D5,L4,V1,M4} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( c_Int_OBit1(
% 4.69/5.12 c_Int_OPls ) ) ) ), X = c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X =
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 4.69/5.12 (21021) {G0,W17,D5,L3,V1,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, X, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 4.69/5.12 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ), X =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X = c_Nat_OSuc(
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 4.69/5.12 (21022) {G0,W24,D7,L2,V3,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z,
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 4.69/5.12 tc_Int_Oint, c_Groups_Oabs__class_Oabs( tc_Int_Oint,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, Z ) ),
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_Int_Oint ) ), X ) ) ) }.
% 4.69/5.12 (21023) {G0,W24,D7,L2,V3,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ominus__class_Ominus
% 4.69/5.12 ( tc_Int_Oint, Z, c_Groups_Otimes__class_Otimes( tc_Int_Oint,
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oabs__class_Oabs(
% 4.69/5.12 tc_Int_Oint, c_Groups_Ominus__class_Ominus( tc_Int_Oint, Z, Y ) ),
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_Int_Oint ) ), X ) ), Y ) }.
% 4.69/5.12 (21024) {G0,W15,D4,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Int_Oint, Y, c_Int_OPls ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 4.69/5.12 , c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 4.69/5.12 (21025) {G0,W19,D4,L2,V2,M2} { c_Orderings_Oord__class_Oless( tc_Int_Oint
% 4.69/5.12 , Y, c_Int_OPls ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 4.69/5.12 (21026) {G0,W5,D3,L1,V1,M1} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 4.69/5.12 , X, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 4.69/5.12 (21027) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 4.69/5.12 c_Nat_OSuc( Y ), c_Nat_OSuc( X ) ) }.
% 4.69/5.12 (21028) {G0,W5,D3,L1,V1,M1} { c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 4.69/5.12 X, c_Nat_OSuc( X ) ) }.
% 4.69/5.12 (21029) {G0,W5,D3,L1,V1,M1} { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 4.69/5.12 (21030) {G0,W4,D3,L1,V1,M1} { ! X = c_Nat_OSuc( X ) }.
% 4.69/5.12 (21031) {G0,W4,D3,L1,V1,M1} { ! c_Nat_OSuc( X ) = X }.
% 4.69/5.12 (21032) {G0,W8,D3,L2,V2,M2} { ! c_Nat_OSuc( Y ) = c_Nat_OSuc( X ), Y = X
% 4.69/5.12 }.
% 4.69/5.12 (21033) {G0,W8,D3,L2,V2,M2} { ! Y = X, c_Nat_OSuc( Y ) = c_Nat_OSuc( X )
% 4.69/5.12 }.
% 4.69/5.12 (21034) {G0,W8,D3,L2,V2,M2} { ! c_Nat_OSuc( Y ) = c_Nat_OSuc( X ), Y = X
% 4.69/5.12 }.
% 4.69/5.12 (21035) {G0,W4,D2,L1,V1,M1} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 4.69/5.12 , X, X ) }.
% 4.69/5.12 (21036) {G0,W11,D2,L3,V2,M3} { Y = X, c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y )
% 4.69/5.12 }.
% 4.69/5.12 (21037) {G0,W7,D2,L2,V2,M2} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 4.69/5.12 , Y, X ), ! Y = X }.
% 4.69/5.12 (21038) {G0,W7,D2,L2,V2,M2} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 4.69/5.12 , X, Y ), ! Y = X }.
% 4.69/5.12 (21039) {G0,W11,D2,L3,V2,M3} { Y = X, c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y )
% 4.69/5.12 }.
% 4.69/5.12 (21040) {G0,W4,D2,L1,V1,M1} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 4.69/5.12 , X, X ) }.
% 4.69/5.12 (21041) {G0,W7,D2,L2,V2,M2} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 4.69/5.12 , Y, X ), ! X = Y }.
% 4.69/5.12 (21042) {G0,W7,D2,L2,V2,M2} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 4.69/5.12 , Y, X ), ! Y = X }.
% 4.69/5.12 (21043) {G0,W14,D4,L3,V3,M3} { alpha102( X, Y, Z ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z ), hBOOL( hAPP( hAPP( X
% 4.69/5.12 , Y ), Z ) ) }.
% 4.69/5.12 (21044) {G0,W16,D4,L3,V3,M3} { alpha102( X, Y, Z ), ! hBOOL( hAPP( hAPP( X
% 4.69/5.12 , Y ), Z ) ), hBOOL( hAPP( hAPP( X, Y ), Z ) ) }.
% 4.69/5.12 (21045) {G0,W11,D2,L3,V3,M3} { ! alpha102( X, Y, Z ), alpha104( X, Y, Z )
% 4.69/5.12 , Z = Y }.
% 4.69/5.12 (21046) {G0,W14,D4,L3,V3,M3} { ! alpha102( X, Y, Z ), alpha104( X, Y, Z )
% 4.69/5.12 , ! hBOOL( hAPP( hAPP( X, Y ), Z ) ) }.
% 4.69/5.12 (21047) {G0,W8,D2,L2,V3,M2} { ! alpha104( X, Y, Z ), alpha102( X, Y, Z )
% 4.69/5.12 }.
% 4.69/5.12 (21048) {G0,W13,D4,L3,V3,M3} { ! Z = Y, hBOOL( hAPP( hAPP( X, Y ), Z ) ),
% 4.69/5.12 alpha102( X, Y, Z ) }.
% 4.69/5.12 (21049) {G0,W8,D2,L2,V3,M2} { ! alpha104( X, Y, Z ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ) }.
% 4.69/5.12 (21050) {G0,W10,D4,L2,V3,M2} { ! alpha104( X, Y, Z ), ! hBOOL( hAPP( hAPP
% 4.69/5.12 ( X, Y ), Z ) ) }.
% 4.69/5.12 (21051) {G0,W14,D4,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, Z, Y ), hBOOL( hAPP( hAPP( X, Y ), Z ) ), alpha104( X, Y, Z
% 4.69/5.12 ) }.
% 4.69/5.12 (21052) {G0,W12,D3,L2,V3,M2} { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat
% 4.69/5.12 , Z, Y ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ), Z = X }.
% 4.69/5.12 (21053) {G0,W12,D3,L2,V3,M2} { ! Z = X, c_Groups_Oplus__class_Oplus(
% 4.69/5.12 tc_Nat_Onat, Z, Y ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y )
% 4.69/5.12 }.
% 4.69/5.12 (21054) {G0,W12,D3,L2,V3,M2} { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat
% 4.69/5.12 , Z, Y ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ), Y = X }.
% 4.69/5.12 (21055) {G0,W12,D3,L2,V3,M2} { ! Y = X, c_Groups_Oplus__class_Oplus(
% 4.69/5.12 tc_Nat_Onat, Z, Y ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X )
% 4.69/5.12 }.
% 4.69/5.12 (21056) {G0,W15,D4,L1,V3,M1} { c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ) =
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, c_Groups_Oplus__class_Oplus
% 4.69/5.12 ( tc_Nat_Onat, Y, X ) ) }.
% 4.69/5.12 (21057) {G0,W15,D4,L1,V3,M1} { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z
% 4.69/5.12 , c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) =
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, c_Groups_Oplus__class_Oplus
% 4.69/5.12 ( tc_Nat_Onat, Z, X ) ) }.
% 4.69/5.12 (21058) {G0,W9,D3,L1,V2,M1} { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y
% 4.69/5.12 , X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) }.
% 4.69/5.12 (21059) {G0,W11,D2,L3,V2,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X
% 4.69/5.12 , Y ), Y = X }.
% 4.69/5.12 (21060) {G0,W12,D2,L3,V3,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X
% 4.69/5.12 , Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ) }.
% 4.69/5.12 (21061) {G0,W7,D2,L2,V2,M2} { ! Y = X, c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ) }.
% 4.69/5.12 (21062) {G0,W8,D2,L2,V2,M2} { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Y
% 4.69/5.12 ) }.
% 4.69/5.12 (21063) {G0,W4,D2,L1,V1,M1} { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, X, X ) }.
% 4.69/5.12 (21064) {G0,W9,D3,L1,V2,M1} { c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 4.69/5.12 Y, X ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 4.69/5.12 (21065) {G0,W15,D4,L1,V3,M1} { c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 4.69/5.12 , c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ), X ) =
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 4.69/5.12 (21066) {G0,W11,D3,L2,V2,M2} { ! c_Groups_Otimes__class_Otimes(
% 4.69/5.12 tc_Nat_Onat, Y, X ) = c_Groups_Oone__class_Oone( tc_Nat_Onat ), Y =
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 4.69/5.12 (21067) {G0,W11,D3,L2,V2,M2} { ! c_Groups_Otimes__class_Otimes(
% 4.69/5.12 tc_Nat_Onat, Y, X ) = c_Groups_Oone__class_Oone( tc_Nat_Onat ), X =
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 4.69/5.12 (21068) {G0,W15,D3,L3,V2,M3} { ! Y = c_Groups_Oone__class_Oone(
% 4.69/5.12 tc_Nat_Onat ), ! X = c_Groups_Oone__class_Oone( tc_Nat_Onat ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 4.69/5.12 (21069) {G0,W7,D4,L1,V1,M1} { c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 4.69/5.12 X, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) = X }.
% 4.69/5.12 (21070) {G0,W11,D3,L2,V2,M2} { ! c_Groups_Oone__class_Oone( tc_Nat_Onat )
% 4.69/5.12 = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ), Y =
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 4.69/5.12 (21071) {G0,W11,D3,L2,V2,M2} { ! c_Groups_Oone__class_Oone( tc_Nat_Onat )
% 4.69/5.12 = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ), X =
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 4.69/5.12 (21072) {G0,W15,D3,L3,V2,M3} { ! Y = c_Groups_Oone__class_Oone(
% 4.69/5.12 tc_Nat_Onat ), ! X = c_Groups_Oone__class_Oone( tc_Nat_Onat ),
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_Nat_Onat ) = c_Groups_Otimes__class_Otimes
% 4.69/5.12 ( tc_Nat_Onat, Y, X ) }.
% 4.69/5.12 (21073) {G0,W7,D4,L1,V1,M1} { c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_Nat_Onat ), X ) = X }.
% 4.69/5.12 (21074) {G0,W15,D4,L1,V3,M1} { c_Groups_Ominus__class_Ominus( tc_Nat_Onat
% 4.69/5.12 , c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X ) =
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 4.69/5.12 ( tc_Nat_Onat, Z, X ), Y ) }.
% 4.69/5.12 (21075) {G0,W5,D3,L1,V1,M1} { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 4.69/5.12 = c_Nat_OSuc( X ) }.
% 4.69/5.12 (21076) {G0,W5,D3,L1,V1,M1} { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 4.69/5.12 = c_Nat_OSuc( X ) }.
% 4.69/5.12 (21077) {G0,W5,D3,L1,V1,M1} { ! c_Nat_OSuc( X ) =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 4.69/5.12 (21078) {G0,W5,D3,L1,V1,M1} { ! c_Nat_OSuc( X ) =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 4.69/5.12 (21079) {G0,W5,D3,L1,V1,M1} { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 4.69/5.12 = c_Nat_OSuc( X ) }.
% 4.69/5.12 (21080) {G0,W5,D3,L1,V1,M1} { ! c_Nat_OSuc( X ) =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 4.69/5.12 (21081) {G0,W6,D4,L1,V0,M1} { c_Groups_Oone__class_Oone( tc_Nat_Onat ) =
% 4.69/5.12 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 4.69/5.12 (21082) {G0,W5,D3,L1,V1,M1} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 4.69/5.12 , X, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 4.69/5.12 (21083) {G0,W9,D3,L2,V1,M2} { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat
% 4.69/5.12 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 4.69/5.12 (21084) {G0,W9,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 4.69/5.12 , c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ), ! X =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 4.69/5.12 (21085) {G0,W5,D3,L1,V1,M1} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 4.69/5.12 , X, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 4.69/5.12 (21086) {G0,W8,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 4.69/5.12 , Y, X ), ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 4.69/5.12 (21087) {G0,W9,D3,L2,V1,M2} { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat
% 4.69/5.12 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 4.69/5.12 (21088) {G0,W10,D3,L2,V2,M2} { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat
% 4.69/5.12 , Y, X ) = Y, X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 4.69/5.12 (21089) {G0,W11,D3,L2,V2,M2} { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat
% 4.69/5.12 , Y, X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 4.69/5.12 (21090) {G0,W11,D3,L2,V2,M2} { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat
% 4.69/5.12 , Y, X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 4.69/5.12 (21091) {G0,W15,D3,L3,V2,M3} { ! Y = c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_Nat_Onat ), ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 4.69/5.12 (21092) {G0,W7,D4,L1,V1,M1} { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X
% 4.69/5.12 , c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) = X }.
% 4.69/5.12 (21093) {G0,W7,D4,L1,V1,M1} { c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) = X }.
% 4.69/5.12 (21094) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc( X ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 4.69/5.12 (21095) {G0,W9,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 4.69/5.12 , c_Nat_OSuc( Y ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X
% 4.69/5.12 ) }.
% 4.69/5.12 (21096) {G0,W12,D3,L3,V2,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, Y, c_Nat_OSuc( X ) ), c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, Y, X ), Y = X }.
% 4.69/5.12 (21097) {G0,W13,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z )
% 4.69/5.12 , c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), Z ) }.
% 4.69/5.12 (21098) {G0,W13,D3,L3,V2,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Nat_OSuc( Y ) = X, c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, c_Nat_OSuc( Y ), X ) }.
% 4.69/5.12 (21099) {G0,W9,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 4.69/5.12 , Y, X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X )
% 4.69/5.12 ) }.
% 4.69/5.12 (21100) {G0,W12,D3,L3,V2,M3} { c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 4.69/5.12 , Y, X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X
% 4.69/5.12 ) ), X = Y }.
% 4.69/5.12 (21101) {G0,W12,D3,L3,V2,M3} { c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 4.69/5.12 , Y, X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X
% 4.69/5.12 ) ), Y = X }.
% 4.69/5.12 (21102) {G0,W12,D3,L3,V2,M3} { c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 4.69/5.12 , Y, X ), ! Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 4.69/5.12 c_Nat_OSuc( X ) ) }.
% 4.69/5.12 (21103) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc( X ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 4.69/5.12 (21104) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 4.69/5.12 c_Nat_OSuc( Y ), c_Nat_OSuc( X ) ) }.
% 4.69/5.12 (21105) {G0,W12,D3,L3,V2,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, Y, c_Nat_OSuc( X ) ), c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, Y, X ), Y = X }.
% 4.69/5.12 (21106) {G0,W9,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 4.69/5.12 , Y, X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X )
% 4.69/5.12 ) }.
% 4.69/5.12 (21107) {G0,W8,D3,L2,V2,M2} { ! Y = X, c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 4.69/5.12 (21108) {G0,W9,D3,L2,V2,M2} { c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 4.69/5.12 Y, X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( Y ) )
% 4.69/5.12 }.
% 4.69/5.12 (21109) {G0,W9,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 4.69/5.12 , X, c_Nat_OSuc( Y ) ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 4.69/5.12 X ) }.
% 4.69/5.12 (21110) {G0,W9,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, X, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 4.69/5.12 (21111) {G0,W9,D3,L2,V1,M2} { ! X = c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_Nat_Onat ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 4.69/5.12 (21112) {G0,W5,D3,L1,V1,M1} { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 4.69/5.12 (21113) {G0,W11,D4,L1,V2,M1} { c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 4.69/5.12 c_Nat_OSuc( Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 4.69/5.12 c_Nat_OSuc( X ) ) }.
% 4.69/5.12 (21114) {G0,W11,D4,L1,V2,M1} { c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 4.69/5.12 c_Nat_OSuc( Y ), X ) = c_Nat_OSuc( c_Groups_Oplus__class_Oplus(
% 4.69/5.12 tc_Nat_Onat, Y, X ) ) }.
% 4.69/5.12 (21115) {G0,W11,D4,L1,V2,M1} { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y
% 4.69/5.12 , c_Nat_OSuc( X ) ) = c_Nat_OSuc( c_Groups_Oplus__class_Oplus(
% 4.69/5.12 tc_Nat_Onat, Y, X ) ) }.
% 4.69/5.12 (21116) {G0,W8,D4,L1,V1,M1} { c_Nat_OSuc( X ) =
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, c_Groups_Oone__class_Oone(
% 4.69/5.12 tc_Nat_Onat ) ) }.
% 4.69/5.12 (21117) {G0,W8,D4,L1,V1,M1} { c_Nat_OSuc( X ) =
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Oone__class_Oone(
% 4.69/5.12 tc_Nat_Onat ), X ) }.
% 4.69/5.12 (21118) {G0,W5,D3,L1,V1,M1} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, c_Nat_OSuc( X ), X ) }.
% 4.69/5.12 (21119) {G0,W9,D3,L2,V2,M2} { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 4.69/5.12 c_Nat_OSuc( X ), Y ) }.
% 4.69/5.12 (21120) {G0,W9,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, c_Nat_OSuc( X ), Y ), ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ) }.
% 4.69/5.12 (21121) {G0,W13,D3,L3,V2,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, c_Nat_OSuc( X ) ), c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), Y = c_Nat_OSuc( X ) }.
% 4.69/5.12 (21122) {G0,W9,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 4.69/5.12 c_Nat_OSuc( X ) ) }.
% 4.69/5.12 (21123) {G0,W9,D3,L2,V2,M2} { ! Y = c_Nat_OSuc( X ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 4.69/5.12 (21124) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc( X ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 4.69/5.12 (21125) {G0,W10,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 4.69/5.12 c_Nat_OSuc( Y ), c_Nat_OSuc( X ) ) }.
% 4.69/5.12 (21126) {G0,W9,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 4.69/5.12 c_Nat_OSuc( X ) ) }.
% 4.69/5.12 (21127) {G0,W13,D3,L3,V2,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, c_Nat_OSuc( X ) ), c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), Y = c_Nat_OSuc( X ) }.
% 4.69/5.12 (21128) {G0,W9,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, c_Nat_OSuc( Y ), X ), c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ) }.
% 4.69/5.12 (21129) {G0,W11,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ), X ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 4.69/5.12 (21130) {G0,W17,D3,L3,V4,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, Y, X ), ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, T, X ) =
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ) }.
% 4.69/5.12 (21131) {G0,W18,D3,L3,V4,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z )
% 4.69/5.12 , c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 4.69/5.12 ( tc_Nat_Onat, Y, T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) )
% 4.69/5.12 }.
% 4.69/5.12 (21132) {G0,W14,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 4.69/5.12 (21133) {G0,W11,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 4.69/5.12 (21134) {G0,W11,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 4.69/5.12 (21135) {G0,W14,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 4.69/5.12 (21136) {G0,W14,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 4.69/5.12 (21137) {G0,W7,D3,L1,V2,M1} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 4.69/5.12 , c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ), X ) }.
% 4.69/5.12 (21138) {G0,W7,D3,L1,V2,M1} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 4.69/5.12 , c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ), Y ) }.
% 4.69/5.12 (21139) {G0,W8,D4,L1,V1,M1} { c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 4.69/5.12 (21140) {G0,W8,D4,L1,V1,M1} { c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 4.69/5.12 X, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 4.69/5.12 (21141) {G0,W15,D3,L3,V2,M3} { ! c_Groups_Otimes__class_Otimes(
% 4.69/5.12 tc_Nat_Onat, Y, X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 4.69/5.12 (21142) {G0,W11,D3,L2,V2,M2} { ! Y = c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_Nat_Onat ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 4.69/5.12 (21143) {G0,W11,D3,L2,V2,M2} { ! X = c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_Nat_Onat ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 4.69/5.12 (21144) {G0,W16,D3,L3,V3,M3} { ! c_Groups_Otimes__class_Otimes(
% 4.69/5.12 tc_Nat_Onat, Z, Y ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X )
% 4.69/5.12 , Y = X, Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 4.69/5.12 (21145) {G0,W12,D3,L2,V3,M2} { ! Y = X, c_Groups_Otimes__class_Otimes(
% 4.69/5.12 tc_Nat_Onat, Z, Y ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X )
% 4.69/5.12 }.
% 4.69/5.12 (21146) {G0,W13,D3,L2,V3,M2} { ! Z = c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_Nat_Onat ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 4.69/5.12 (21147) {G0,W16,D3,L3,V3,M3} { ! c_Groups_Otimes__class_Otimes(
% 4.69/5.12 tc_Nat_Onat, Z, Y ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y )
% 4.69/5.12 , Z = X, Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 4.69/5.12 (21148) {G0,W12,D3,L2,V3,M2} { ! Z = X, c_Groups_Otimes__class_Otimes(
% 4.69/5.12 tc_Nat_Onat, Z, Y ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y )
% 4.69/5.12 }.
% 4.69/5.12 (21149) {G0,W13,D3,L2,V3,M2} { ! Y = c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_Nat_Onat ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 4.69/5.12 (21150) {G0,W14,D3,L3,V2,M3} { ! Y = c_Groups_Otimes__class_Otimes(
% 4.69/5.12 tc_Nat_Onat, Y, X ), X = c_Groups_Oone__class_Oone( tc_Nat_Onat ), Y =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 4.69/5.12 (21151) {G0,W8,D2,L2,V2,M2} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 4.69/5.12 , Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 4.69/5.12 (21152) {G0,W7,D2,L2,V2,M2} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 4.69/5.12 , Y, X ), ! Y = X }.
% 4.69/5.12 (21153) {G0,W11,D2,L3,V2,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y
% 4.69/5.12 , X ) }.
% 4.69/5.12 (21154) {G0,W11,D2,L3,V2,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 4.69/5.12 Y = X }.
% 4.69/5.12 (21155) {G0,W8,D2,L2,V2,M2} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 4.69/5.12 , Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 4.69/5.12 (21156) {G0,W7,D2,L2,V2,M2} { ! Y = X, c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ) }.
% 4.69/5.12 (21157) {G0,W8,D2,L2,V2,M2} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 4.69/5.12 , Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 4.69/5.12 (21158) {G0,W11,D2,L3,V2,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y
% 4.69/5.12 , X ) }.
% 4.69/5.12 (21159) {G0,W8,D2,L2,V2,M2} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 4.69/5.12 , Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 4.69/5.12 (21160) {G0,W7,D2,L2,V2,M2} { ! Y = X, c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ) }.
% 4.69/5.12 (21161) {G0,W17,D3,L3,V2,M3} { ! c_Groups_Ominus__class_Ominus(
% 4.69/5.12 tc_Nat_Onat, Y, X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), !
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y = X }.
% 4.69/5.12 (21162) {G0,W7,D3,L1,V1,M1} { c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 4.69/5.12 X, X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 4.69/5.12 (21163) {G0,W7,D4,L1,V1,M1} { c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 4.69/5.12 X, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) = X }.
% 4.69/5.12 (21164) {G0,W8,D4,L1,V1,M1} { c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 4.69/5.12 (21165) {G0,W14,D4,L2,V3,M2} { ! c_Groups_Otimes__class_Otimes(
% 4.69/5.12 tc_Nat_Onat, c_Nat_OSuc( Z ), Y ) = c_Groups_Otimes__class_Otimes(
% 4.69/5.12 tc_Nat_Onat, c_Nat_OSuc( Z ), X ), Y = X }.
% 4.69/5.12 (21166) {G0,W14,D4,L2,V3,M2} { ! Y = X, c_Groups_Otimes__class_Otimes(
% 4.69/5.12 tc_Nat_Onat, c_Nat_OSuc( Z ), Y ) = c_Groups_Otimes__class_Otimes(
% 4.69/5.12 tc_Nat_Onat, c_Nat_OSuc( Z ), X ) }.
% 4.69/5.12 (21167) {G0,W11,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X ) }.
% 4.69/5.12 (21168) {G0,W11,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 4.69/5.12 (21169) {G0,W11,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ), X ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 4.69/5.12 (21170) {G0,W11,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 4.69/5.12 (21171) {G0,W18,D3,L3,V4,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T
% 4.69/5.12 , Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, T ),
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 4.69/5.12 (21172) {G0,W14,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 4.69/5.12 (21173) {G0,W11,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 4.69/5.12 (21174) {G0,W11,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 4.69/5.12 (21175) {G0,W14,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 4.69/5.12 (21176) {G0,W14,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 4.69/5.12 (21177) {G0,W12,D4,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 4.69/5.12 skol21( X, Y ) ) }.
% 4.69/5.12 (21178) {G0,W10,D3,L2,V3,M2} { ! X = c_Groups_Oplus__class_Oplus(
% 4.69/5.12 tc_Nat_Onat, Y, Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X
% 4.69/5.12 ) }.
% 4.69/5.12 (21179) {G0,W7,D3,L1,V2,M1} { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 4.69/5.12 (21180) {G0,W7,D3,L1,V2,M1} { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) }.
% 4.69/5.12 (21181) {G0,W11,D4,L1,V2,M1} { c_Groups_Ominus__class_Ominus( tc_Nat_Onat
% 4.69/5.12 , c_Nat_OSuc( Y ), c_Nat_OSuc( X ) ) = c_Groups_Ominus__class_Ominus(
% 4.69/5.12 tc_Nat_Onat, Y, X ) }.
% 4.69/5.12 (21182) {G0,W17,D5,L1,V3,M1} { c_Groups_Ominus__class_Ominus( tc_Nat_Onat
% 4.69/5.12 , c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ),
% 4.69/5.12 c_Nat_OSuc( X ) ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X ) }.
% 4.69/5.12 (21183) {G0,W14,D5,L1,V2,M1} { c_Groups_Ominus__class_Ominus( tc_Nat_Onat
% 4.69/5.12 , Y, c_Nat_OSuc( X ) ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, c_Groups_Oone__class_Oone
% 4.69/5.12 ( tc_Nat_Onat ) ), X ) }.
% 4.69/5.12 (21184) {G0,W8,D4,L1,V1,M1} { c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 4.69/5.12 c_Nat_OSuc( X ), c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) = X }.
% 4.69/5.12 (21185) {G0,W11,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, Z ), X ) }.
% 4.69/5.12 (21186) {G0,W18,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z )
% 4.69/5.12 , c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ),
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ) }.
% 4.69/5.12 (21187) {G0,W18,D4,L1,V3,M1} { c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 4.69/5.12 , c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ) =
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 4.69/5.12 tc_Nat_Onat, Z, X ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) )
% 4.69/5.12 }.
% 4.69/5.12 (21188) {G0,W18,D4,L1,V3,M1} { c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 4.69/5.12 , Z, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) =
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 4.69/5.12 tc_Nat_Onat, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) )
% 4.69/5.12 }.
% 4.69/5.12 (21189) {G0,W7,D3,L1,V1,M1} { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, X ) ) }.
% 4.69/5.12 (21190) {G0,W10,D4,L1,V1,M1} { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, X ) ) ) }.
% 4.69/5.12 (21191) {G0,W14,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, Z ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ) ) }.
% 4.69/5.12 (21192) {G0,W14,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 4.69/5.12 (21193) {G0,W18,D3,L3,V4,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T
% 4.69/5.12 , Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, T ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ) ) }.
% 4.69/5.12 (21194) {G0,W15,D4,L1,V3,M1} { c_Groups_Ominus__class_Ominus( tc_Nat_Onat
% 4.69/5.12 , c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) =
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ) }.
% 4.69/5.12 (21195) {G0,W15,D4,L1,V3,M1} { c_Groups_Ominus__class_Ominus( tc_Nat_Onat
% 4.69/5.12 , c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) =
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) }.
% 4.69/5.12 (21196) {G0,W15,D4,L1,V3,M1} { c_Groups_Ominus__class_Ominus( tc_Nat_Onat
% 4.69/5.12 , c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X ) =
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z,
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 4.69/5.12 (21197) {G0,W9,D4,L1,V2,M1} { c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ), Y ) = X }.
% 4.69/5.12 (21198) {G0,W9,D4,L1,V2,M1} { c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ), X ) = Y }.
% 4.69/5.12 (21199) {G0,W22,D3,L4,V3,M4} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 4.69/5.12 , Z ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ),
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ) }.
% 4.69/5.12 (21200) {G0,W22,D3,L4,V3,M4} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 4.69/5.12 , Z ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ),
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ) }.
% 4.69/5.12 (21201) {G0,W23,D4,L3,V3,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 4.69/5.12 , Z ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ),
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ) =
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z ) }.
% 4.69/5.12 (21202) {G0,W20,D3,L4,V3,M4} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 4.69/5.12 , Z ), ! c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X = Z }.
% 4.69/5.12 (21203) {G0,W20,D3,L4,V3,M4} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 4.69/5.12 , Z ), ! X = Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) }.
% 4.69/5.12 (21204) {G0,W13,D4,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) = Y }.
% 4.69/5.12 (21205) {G0,W14,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, Z ),
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z ) ) }.
% 4.69/5.12 (21206) {G0,W14,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ),
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ) }.
% 4.69/5.12 (21207) {G0,W7,D3,L1,V2,M1} { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ), Y ) }.
% 4.69/5.12 (21208) {G0,W18,D4,L1,V3,M1} { c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 4.69/5.12 , Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) =
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 4.69/5.12 ( tc_Nat_Onat, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X )
% 4.69/5.12 ) }.
% 4.69/5.12 (21209) {G0,W18,D4,L1,V3,M1} { c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 4.69/5.12 , c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X ) =
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 4.69/5.12 ( tc_Nat_Onat, Z, X ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X )
% 4.69/5.12 ) }.
% 4.69/5.12 (21210) {G0,W19,D4,L3,V3,M3} { ! class_Rings_Olinordered__ring__strict( X
% 4.69/5.12 ), ! c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z
% 4.69/5.12 , Z ), c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X )
% 4.69/5.12 }.
% 4.69/5.12 (21211) {G0,W19,D4,L3,V3,M3} { ! class_Rings_Olinordered__ring__strict( X
% 4.69/5.12 ), ! c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z
% 4.69/5.12 , Z ), c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 4.69/5.12 }.
% 4.69/5.12 (21212) {G0,W23,D4,L4,V3,M4} { ! class_Rings_Olinordered__ring__strict( X
% 4.69/5.12 ), ! Z = c_Groups_Ozero__class_Ozero( X ), ! Y =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 4.69/5.12 X, Y, Y ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.12 (21213) {G0,W8,D3,L2,V1,M2} { ! class_Int_Onumber__ring( X ),
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ) = c_Int_Onumber__class_Onumber__of( X,
% 4.69/5.12 c_Int_OPls ) }.
% 4.69/5.12 (21214) {G0,W16,D5,L3,V1,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, X, c_Nat_OSuc( c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_Nat_Onat ) ) ) ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X =
% 4.69/5.12 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 4.69/5.12 (21215) {G0,W12,D3,L3,V2,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, Y, c_Nat_OSuc( X ) ), Y = c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_Nat_Onat ), alpha15( X, Y ) }.
% 4.69/5.12 (21216) {G0,W9,D3,L2,V2,M2} { ! Y = c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_Nat_Onat ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc
% 4.69/5.12 ( X ) ) }.
% 4.69/5.12 (21217) {G0,W8,D3,L2,V2,M2} { ! alpha15( X, Y ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 4.69/5.12 (21218) {G0,W9,D4,L2,V3,M2} { ! alpha15( X, Y ), Y = c_Nat_OSuc( skol22( Z
% 4.69/5.12 , Y ) ) }.
% 4.69/5.12 (21219) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, skol22( X, Y ), X ) }.
% 4.69/5.12 (21220) {G0,W11,D3,L3,V3,M3} { ! Y = c_Nat_OSuc( Z ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X ), alpha15( X, Y ) }.
% 4.69/5.12 (21221) {G0,W10,D4,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, X, c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) )
% 4.69/5.12 ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 4.69/5.12 (21222) {G0,W10,D4,L2,V1,M2} { ! X = c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_Nat_Onat ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc
% 4.69/5.12 ( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) }.
% 4.69/5.12 (21223) {G0,W10,D4,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ), X =
% 4.69/5.12 c_Nat_OSuc( skol23( X ) ) }.
% 4.69/5.12 (21224) {G0,W9,D3,L2,V2,M2} { ! X = c_Nat_OSuc( Y ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_Nat_Onat ), X ) }.
% 4.69/5.12 (21225) {G0,W14,D4,L3,V2,M3} { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat
% 4.69/5.12 , Y, X ) = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 4.69/5.12 alpha16( X, Y ), alpha48( X, Y ) }.
% 4.69/5.12 (21226) {G0,W11,D4,L2,V2,M2} { ! alpha16( X, Y ),
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 4.69/5.12 (21227) {G0,W11,D4,L2,V2,M2} { ! alpha48( X, Y ),
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 4.69/5.12 (21228) {G0,W7,D3,L2,V2,M2} { ! alpha48( X, Y ), Y =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 4.69/5.12 (21229) {G0,W8,D4,L2,V2,M2} { ! alpha48( X, Y ), X = c_Nat_OSuc(
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 4.69/5.12 (21230) {G0,W12,D4,L3,V2,M3} { ! Y = c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_Nat_Onat ), ! X = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat
% 4.69/5.12 ) ), alpha48( X, Y ) }.
% 4.69/5.12 (21231) {G0,W8,D4,L2,V2,M2} { ! alpha16( X, Y ), Y = c_Nat_OSuc(
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 4.69/5.12 (21232) {G0,W7,D3,L2,V2,M2} { ! alpha16( X, Y ), X =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 4.69/5.12 (21233) {G0,W12,D4,L3,V2,M3} { ! Y = c_Nat_OSuc(
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), ! X =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha16( X, Y ) }.
% 4.69/5.12 (21234) {G0,W14,D4,L3,V2,M3} { ! c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_Nat_Onat ) ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ),
% 4.69/5.12 alpha17( X, Y ), alpha49( X, Y ) }.
% 4.69/5.12 (21235) {G0,W11,D4,L2,V2,M2} { ! alpha17( X, Y ), c_Nat_OSuc(
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) }.
% 4.69/5.12 (21236) {G0,W11,D4,L2,V2,M2} { ! alpha49( X, Y ), c_Nat_OSuc(
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) }.
% 4.69/5.12 (21237) {G0,W7,D3,L2,V2,M2} { ! alpha49( X, Y ), Y =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 4.69/5.12 (21238) {G0,W8,D4,L2,V2,M2} { ! alpha49( X, Y ), X = c_Nat_OSuc(
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 4.69/5.12 (21239) {G0,W12,D4,L3,V2,M3} { ! Y = c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_Nat_Onat ), ! X = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat
% 4.69/5.12 ) ), alpha49( X, Y ) }.
% 4.69/5.12 (21240) {G0,W8,D4,L2,V2,M2} { ! alpha17( X, Y ), Y = c_Nat_OSuc(
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 4.69/5.12 (21241) {G0,W7,D3,L2,V2,M2} { ! alpha17( X, Y ), X =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 4.69/5.12 (21242) {G0,W12,D4,L3,V2,M3} { ! Y = c_Nat_OSuc(
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), ! X =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha17( X, Y ) }.
% 4.69/5.12 (21243) {G0,W6,D3,L1,V0,M1} { c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) =
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OPls ) }.
% 4.69/5.12 (21244) {G0,W6,D3,L1,V0,M1} { c_Int_Onumber__class_Onumber__of(
% 4.69/5.12 tc_Nat_Onat, c_Int_OPls ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 4.69/5.12 }.
% 4.69/5.12 (21245) {G0,W18,D3,L3,V2,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 4.69/5.12 (21246) {G0,W13,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_Nat_Onat ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 4.69/5.12 (21247) {G0,W13,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_Nat_Onat ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 4.69/5.12 (21248) {G0,W7,D4,L1,V0,M1} { c_Int_Onumber__class_Onumber__of(
% 4.69/5.12 tc_Nat_Onat, c_Int_OBit1( c_Int_OPls ) ) = c_Groups_Oone__class_Oone(
% 4.69/5.12 tc_Nat_Onat ) }.
% 4.69/5.12 (21249) {G0,W7,D4,L1,V0,M1} { c_Groups_Oone__class_Oone( tc_Nat_Onat ) =
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 4.69/5.12 ) }.
% 4.69/5.12 (21250) {G0,W13,D5,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, Y, X ), X = c_Nat_OSuc( c_Groups_Oplus__class_Oplus(
% 4.69/5.12 tc_Nat_Onat, Y, skol24( X, Y ) ) ) }.
% 4.69/5.12 (21251) {G0,W11,D4,L2,V3,M2} { ! X = c_Nat_OSuc(
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 4.69/5.12 (21252) {G0,W8,D4,L1,V2,M1} { c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 4.69/5.12 Y, c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) ) }.
% 4.69/5.12 (21253) {G0,W8,D4,L1,V2,M1} { c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 4.69/5.12 Y, c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) ) }.
% 4.69/5.12 (21254) {G0,W13,D4,L2,V2,M2} { ! c_Groups_Otimes__class_Otimes(
% 4.69/5.12 tc_Nat_Onat, Y, X ) = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_Nat_Onat ) ), Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat
% 4.69/5.12 ) ) }.
% 4.69/5.12 (21255) {G0,W13,D4,L2,V2,M2} { ! c_Groups_Otimes__class_Otimes(
% 4.69/5.12 tc_Nat_Onat, Y, X ) = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_Nat_Onat ) ), X = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat
% 4.69/5.12 ) ) }.
% 4.69/5.12 (21256) {G0,W18,D4,L3,V2,M3} { ! Y = c_Nat_OSuc(
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), ! X = c_Nat_OSuc(
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 4.69/5.12 (21257) {G0,W9,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, c_Nat_OSuc( Y ), X ), c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, Y, X ) }.
% 4.69/5.12 (21258) {G0,W12,D3,L3,V2,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 4.69/5.12 c_Nat_OSuc( Y ) ), X = Y }.
% 4.69/5.12 (21259) {G0,W12,D3,L3,V2,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), ! X = Y, c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 4.69/5.12 , X, c_Nat_OSuc( Y ) ) }.
% 4.69/5.12 (21260) {G0,W9,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 4.69/5.12 , Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y )
% 4.69/5.12 , X ) }.
% 4.69/5.12 (21261) {G0,W9,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 4.69/5.12 c_Nat_OSuc( X ) ) }.
% 4.69/5.12 (21262) {G0,W9,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, c_Nat_OSuc( Y ), X ), c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, Y, X ) }.
% 4.69/5.12 (21263) {G0,W9,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 4.69/5.12 , Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y )
% 4.69/5.12 , X ) }.
% 4.69/5.12 (21264) {G0,W9,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 4.69/5.12 , Y, c_Nat_OSuc( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 4.69/5.12 , X ) }.
% 4.69/5.12 (21265) {G0,W9,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 4.69/5.12 c_Nat_OSuc( X ) ) }.
% 4.69/5.12 (21266) {G0,W9,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 4.69/5.12 , Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y )
% 4.69/5.12 , X ) }.
% 4.69/5.12 (21267) {G0,W9,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, c_Nat_OSuc( Y ), X ), c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, Y, X ) }.
% 4.69/5.12 (21268) {G0,W13,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_Nat_Onat ), Y ) }.
% 4.69/5.12 (21269) {G0,W13,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_Nat_Onat ), X ) }.
% 4.69/5.12 (21270) {G0,W18,D3,L3,V2,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Otimes__class_Otimes
% 4.69/5.12 ( tc_Nat_Onat, Y, X ) ) }.
% 4.69/5.12 (21271) {G0,W15,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_Nat_Onat ), Z ) }.
% 4.69/5.12 (21272) {G0,W14,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 4.69/5.12 (21273) {G0,W19,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Z ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 4.69/5.12 ( tc_Nat_Onat, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X )
% 4.69/5.12 ) }.
% 4.69/5.12 (21274) {G0,W15,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_Nat_Onat ), Y ) }.
% 4.69/5.12 (21275) {G0,W14,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X ) }.
% 4.69/5.12 (21276) {G0,W19,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 4.69/5.12 ( tc_Nat_Onat, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y )
% 4.69/5.12 ) }.
% 4.69/5.12 (21277) {G0,W19,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Z ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 4.69/5.12 ( tc_Nat_Onat, Y, Z ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z )
% 4.69/5.12 ) }.
% 4.69/5.12 (21278) {G0,W19,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Z ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 4.69/5.12 ( tc_Nat_Onat, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X )
% 4.69/5.12 ) }.
% 4.69/5.12 (21279) {G0,W12,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 4.69/5.12 (21280) {G0,W12,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, X, Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Ominus__class_Ominus
% 4.69/5.12 ( tc_Nat_Onat, Y, X ) ) }.
% 4.69/5.12 (21281) {G0,W17,D3,L3,V2,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ), Y ) }.
% 4.69/5.12 (21282) {G0,W16,D4,L2,V3,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z )
% 4.69/5.12 , Y ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), X ) )
% 4.69/5.12 , c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 4.69/5.12 (21283) {G0,W16,D4,L2,V3,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), X ) ) }.
% 4.69/5.12 (21284) {G0,W10,D4,L1,V2,M1} { c_Groups_Ominus__class_Ominus( tc_Nat_Onat
% 4.69/5.12 , Y, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 4.69/5.12 (21285) {G0,W8,D3,L1,V2,M1} { c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ), c_Nat_OSuc( Y ) ) }.
% 4.69/5.12 (21286) {G0,W13,D4,L1,V2,M1} { c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 4.69/5.12 , Y, c_Nat_OSuc( X ) ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 4.69/5.12 (21287) {G0,W13,D4,L1,V2,M1} { c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 4.69/5.12 , c_Nat_OSuc( Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 4.69/5.12 (21288) {G0,W11,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 4.69/5.12 (21289) {G0,W11,D3,L2,V2,M2} { ! c_Groups_Ominus__class_Ominus(
% 4.69/5.12 tc_Nat_Onat, Y, X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 4.69/5.12 (21290) {G0,W11,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 4.69/5.12 (21291) {G0,W16,D4,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z )
% 4.69/5.12 , Y ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), X ) )
% 4.69/5.12 , c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 4.69/5.12 (21292) {G0,W16,D4,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), X ) ) }.
% 4.69/5.12 (21293) {G0,W15,D4,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 4.69/5.12 c_Nat_OSuc( X ), Y ) = c_Nat_OSuc( c_Groups_Ominus__class_Ominus(
% 4.69/5.12 tc_Nat_Onat, X, Y ) ) }.
% 4.69/5.12 (21294) {G0,W13,D4,L2,V2,M2} { c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 4.69/5.12 , Y, X ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) = Y }.
% 4.69/5.12 (21295) {G0,W14,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 4.69/5.12 tc_Nat_Onat, Z, X ), Y ) }.
% 4.69/5.12 (21296) {G0,W14,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ), Y ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) }.
% 4.69/5.12 (21297) {G0,W18,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z
% 4.69/5.12 , Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, Z ),
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z ) ) }.
% 4.69/5.12 (21298) {G0,W22,D3,L4,V3,M4} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 4.69/5.12 , Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ),
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ) }.
% 4.69/5.12 (21299) {G0,W22,D3,L4,V3,M4} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 4.69/5.12 , Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 4.69/5.12 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 4.69/5.12 ) }.
% 4.69/5.12 (21300) {G0,W19,D4,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ), Y ) =
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 4.69/5.12 tc_Nat_Onat, X, Y ), Z ) }.
% 4.69/5.12 (21301) {G0,W19,D4,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), Z ) =
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 4.69/5.12 tc_Nat_Onat, X, Z ), Y ) }.
% 4.69/5.12 (21302) {G0,W19,D4,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ), Y ) =
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 4.69/5.12 (21303) {G0,W16,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), ! c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y )
% 4.69/5.12 = Z, X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) }.
% 4.69/5.12 (21304) {G0,W16,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), ! X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y
% 4.69/5.12 ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) = Z }.
% 4.69/5.12 (21305) {G0,W13,D4,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), Y ) = X }.
% 4.69/5.12 (21306) {G0,W18,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z
% 4.69/5.12 , c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ) }.
% 4.69/5.12 (21307) {G0,W18,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 4.69/5.12 (21308) {G0,W19,D4,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 4.69/5.12 tc_Nat_Onat, Z, X ), Y ) }.
% 4.69/5.12 (21309) {G0,W13,D4,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) = X }.
% 4.69/5.12 (21310) {G0,W14,D4,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 4.69/5.12 tc_Nat_Onat, X, Z ), Y ) ) }.
% 4.69/5.12 (21311) {G0,W14,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) }.
% 4.69/5.12 (21312) {G0,W14,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Z, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X ) }.
% 4.69/5.12 (21313) {G0,W19,D4,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 4.69/5.12 tc_Nat_Onat, Z, Y ), X ) }.
% 4.69/5.12 (21314) {G0,W20,D4,L3,V3,M3} { ! class_Rings_Olinordered__ring__strict( X
% 4.69/5.12 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus(
% 4.69/5.12 X, c_Groups_Otimes__class_Otimes( X, Z, Z ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, Y, Y ) ), c_Groups_Ozero__class_Ozero(
% 4.69/5.12 X ) ), Z = c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.12 (21315) {G0,W20,D4,L3,V3,M3} { ! class_Rings_Olinordered__ring__strict( X
% 4.69/5.12 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus(
% 4.69/5.12 X, c_Groups_Otimes__class_Otimes( X, Z, Z ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, Y, Y ) ), c_Groups_Ozero__class_Ozero(
% 4.69/5.12 X ) ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.12 (21316) {G0,W24,D4,L4,V3,M4} { ! class_Rings_Olinordered__ring__strict( X
% 4.69/5.12 ), ! Z = c_Groups_Ozero__class_Ozero( X ), ! Y =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.12 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z )
% 4.69/5.12 , c_Groups_Otimes__class_Otimes( X, Y, Y ) ), c_Groups_Ozero__class_Ozero
% 4.69/5.12 ( X ) ) }.
% 4.69/5.12 (21317) {G0,W16,D4,L2,V3,M2} { ! class_Rings_Olinordered__ring( X ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.12 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z )
% 4.69/5.12 , c_Groups_Otimes__class_Otimes( X, Y, Y ) ) ) }.
% 4.69/5.12 (21318) {G0,W24,D4,L4,V3,M4} { ! class_Rings_Olinordered__ring__strict( X
% 4.69/5.12 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.12 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z
% 4.69/5.12 ), c_Groups_Otimes__class_Otimes( X, Y, Y ) ) ), ! Z =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 4.69/5.12 }.
% 4.69/5.12 (21319) {G0,W20,D4,L3,V3,M3} { ! class_Rings_Olinordered__ring__strict( X
% 4.69/5.12 ), Z = c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless(
% 4.69/5.12 X, c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 4.69/5.12 X, Y, Y ) ) ) }.
% 4.69/5.12 (21320) {G0,W20,D4,L3,V3,M3} { ! class_Rings_Olinordered__ring__strict( X
% 4.69/5.12 ), Y = c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless(
% 4.69/5.12 X, c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 4.69/5.12 X, Y, Y ) ) ) }.
% 4.69/5.12 (21321) {G0,W16,D4,L2,V3,M2} { ! class_Rings_Olinordered__ring( X ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 4.69/5.12 X, Y, Y ) ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 4.69/5.12 (21322) {G0,W9,D4,L2,V1,M2} { ! class_Int_Onumber__ring( X ),
% 4.69/5.12 c_Groups_Oone__class_Oone( X ) = c_Int_Onumber__class_Onumber__of( X,
% 4.69/5.12 c_Int_OBit1( c_Int_OPls ) ) }.
% 4.69/5.12 (21323) {G0,W10,D3,L2,V1,M2} { ! c_Int_Onumber__class_Onumber__of(
% 4.69/5.12 tc_Nat_Onat, X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ) }.
% 4.69/5.12 (21324) {G0,W10,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Int_Oint, X, c_Int_OPls ), c_Int_Onumber__class_Onumber__of(
% 4.69/5.12 tc_Nat_Onat, X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 4.69/5.12 (21325) {G0,W10,D3,L2,V1,M2} { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat
% 4.69/5.12 ) = c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ) }.
% 4.69/5.12 (21326) {G0,W10,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Int_Oint, X, c_Int_OPls ), c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 4.69/5.12 = c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) }.
% 4.69/5.12 (21327) {G0,W21,D4,L3,V2,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X
% 4.69/5.12 ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 4.69/5.12 (21328) {G0,W19,D4,L3,V2,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X
% 4.69/5.12 ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 4.69/5.12 (21329) {G0,W19,D4,L3,V2,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X
% 4.69/5.12 ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 4.69/5.12 (21330) {G0,W13,D4,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 4.69/5.12 ( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ), X ) }.
% 4.69/5.12 (21331) {G0,W14,D6,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ), c_Nat_OSuc
% 4.69/5.12 ( c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, c_Nat_OSuc(
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) ) = X }.
% 4.69/5.12 (21332) {G0,W13,D5,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ), X =
% 4.69/5.12 c_Nat_OSuc( c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) }.
% 4.69/5.12 (21333) {G0,W13,D5,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ), c_Nat_OSuc
% 4.69/5.12 ( c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) = X }.
% 4.69/5.12 (21334) {G0,W15,D4,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y ) }.
% 4.69/5.12 (21335) {G0,W15,D4,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ) }.
% 4.69/5.12 (21336) {G0,W21,D4,L3,V2,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y
% 4.69/5.12 ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 4.69/5.12 (21337) {G0,W10,D3,L2,V2,M2} { ! Y = c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_Nat_Onat ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = X }.
% 4.69/5.12 (21338) {G0,W18,D6,L2,V2,M2} { Y = c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_Nat_Onat ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 4.69/5.12 c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, c_Groups_Oone__class_Oone
% 4.69/5.12 ( tc_Nat_Onat ) ), X ) ) }.
% 4.69/5.12 (21339) {G0,W11,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ), alpha18( X, Y ) }.
% 4.69/5.12 (21340) {G0,W12,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 4.69/5.12 (21341) {G0,W15,D3,L3,V2,M3} { ! alpha18( X, Y ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 4.69/5.12 (21342) {G0,W11,D2,L3,V2,M3} { ! alpha18( X, Y ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ) }.
% 4.69/5.12 (21343) {G0,W7,D2,L2,V2,M2} { c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 4.69/5.12 Y, X ), alpha18( X, Y ) }.
% 4.69/5.12 (21344) {G0,W7,D2,L2,V2,M2} { ! c_Orderings_Oord__class_Oless( tc_Int_Oint
% 4.69/5.12 , c_Int_OPls, X ), alpha18( X, Y ) }.
% 4.69/5.12 (21345) {G0,W19,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X
% 4.69/5.12 ) }.
% 4.69/5.12 (21346) {G0,W15,D3,L2,V3,M2} { c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 4.69/5.12 , c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Z ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 4.69/5.12 (21347) {G0,W14,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 4.69/5.12 (21348) {G0,W19,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X
% 4.69/5.12 ) }.
% 4.69/5.12 (21349) {G0,W15,D3,L2,V3,M2} { c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 4.69/5.12 , c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 4.69/5.12 (21350) {G0,W14,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Z, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 4.69/5.12 (21351) {G0,W11,D4,L2,V3,M2} { ! hBOOL( hAPP( Z,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) ), alpha19( X, Y, Z
% 4.69/5.12 ) }.
% 4.69/5.12 (21352) {G0,W11,D4,L2,V3,M2} { ! hBOOL( hAPP( Z,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) ), alpha50( X, Y, Z
% 4.69/5.12 ) }.
% 4.69/5.12 (21353) {G0,W15,D4,L3,V3,M3} { ! alpha19( X, Y, Z ), ! alpha50( X, Y, Z )
% 4.69/5.12 , hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 4.69/5.12 }.
% 4.69/5.12 (21354) {G0,W14,D3,L3,V4,M3} { ! alpha50( X, Y, Z ), ! Y =
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, T ), hBOOL( hAPP( Z, T ) )
% 4.69/5.12 }.
% 4.69/5.12 (21355) {G0,W11,D4,L2,V5,M2} { ! hBOOL( hAPP( Z, skol25( T, U, Z ) ) ),
% 4.69/5.12 alpha50( X, Y, Z ) }.
% 4.69/5.12 (21356) {G0,W13,D4,L2,V3,M2} { Y = c_Groups_Oplus__class_Oplus(
% 4.69/5.12 tc_Nat_Onat, X, skol25( X, Y, Z ) ), alpha50( X, Y, Z ) }.
% 4.69/5.12 (21357) {G0,W13,D4,L3,V3,M3} { ! alpha19( X, Y, Z ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), hBOOL( hAPP( Z,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) }.
% 4.69/5.12 (21358) {G0,W8,D2,L2,V3,M2} { c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 4.69/5.12 Y, X ), alpha19( X, Y, Z ) }.
% 4.69/5.12 (21359) {G0,W9,D4,L2,V3,M2} { ! hBOOL( hAPP( Z,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), alpha19( X, Y, Z ) }.
% 4.69/5.12 (21360) {G0,W11,D4,L2,V3,M2} { ! hBOOL( hAPP( Z,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) ), ! alpha20( X, Y,
% 4.69/5.12 Z ) }.
% 4.69/5.12 (21361) {G0,W11,D4,L2,V3,M2} { ! hBOOL( hAPP( Z,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) ), ! alpha51( X, Y,
% 4.69/5.12 Z ) }.
% 4.69/5.12 (21362) {G0,W15,D4,L3,V3,M3} { alpha20( X, Y, Z ), alpha51( X, Y, Z ),
% 4.69/5.12 hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 4.69/5.12 }.
% 4.69/5.12 (21363) {G0,W11,D4,L2,V5,M2} { ! alpha51( X, Y, Z ), ! hBOOL( hAPP( Z,
% 4.69/5.12 skol26( T, U, Z ) ) ) }.
% 4.69/5.12 (21364) {G0,W13,D4,L2,V3,M2} { ! alpha51( X, Y, Z ), Y =
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, skol26( X, Y, Z ) ) }.
% 4.69/5.12 (21365) {G0,W14,D3,L3,V4,M3} { ! Y = c_Groups_Oplus__class_Oplus(
% 4.69/5.12 tc_Nat_Onat, X, T ), hBOOL( hAPP( Z, T ) ), alpha51( X, Y, Z ) }.
% 4.69/5.12 (21366) {G0,W8,D2,L2,V3,M2} { ! alpha20( X, Y, Z ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 4.69/5.12 (21367) {G0,W9,D4,L2,V3,M2} { ! alpha20( X, Y, Z ), ! hBOOL( hAPP( Z,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) }.
% 4.69/5.12 (21368) {G0,W13,D4,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, Y, X ), hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_Nat_Onat ) ) ), alpha20( X, Y, Z ) }.
% 4.69/5.12 (21369) {G0,W16,D3,L3,V2,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ) }.
% 4.69/5.12 (21370) {G0,W12,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 4.69/5.12 (21371) {G0,W12,D3,L2,V2,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Int_Oint, Y, c_Int_OPls ), c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 4.69/5.12 (21372) {G0,W7,D3,L1,V0,M1} { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OPls ) ) }.
% 4.69/5.12 (21373) {G0,W21,D5,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 4.69/5.12 c_Nat_OSuc( c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ), Z ) =
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( X ),
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ) ) }.
% 4.69/5.12 (21374) {G0,W21,D5,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Nat_Onat, Y, X ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z,
% 4.69/5.12 c_Nat_OSuc( c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) ) =
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 4.69/5.12 tc_Nat_Onat, Z, Y ), c_Nat_OSuc( X ) ) }.
% 4.69/5.12 (21375) {G0,W11,D3,L2,V2,M2} { ! Y = c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_Nat_Onat ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 4.69/5.12 (21376) {G0,W20,D6,L2,V2,M2} { Y = c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_Nat_Onat ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 4.69/5.12 ( tc_Nat_Onat, Y, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ), X ) ) }.
% 4.69/5.12 (21377) {G0,W11,D6,L1,V0,M1} { c_Int_Onumber__class_Onumber__of(
% 4.69/5.12 tc_Nat_Onat, c_Int_OBit1( c_Int_OBit1( c_Int_OPls ) ) ) = c_Nat_OSuc(
% 4.69/5.12 c_Nat_OSuc( c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) )
% 4.69/5.12 }.
% 4.69/5.12 (21378) {G0,W8,D4,L1,V0,M1} { c_Int_Onumber__class_Onumber__of(
% 4.69/5.12 tc_Nat_Onat, c_Int_OBit1( c_Int_OPls ) ) = c_Nat_OSuc(
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 4.69/5.12 (21379) {G0,W13,D6,L1,V1,M1} { c_Nat_OSuc( c_Nat_OSuc( c_Nat_OSuc( X ) ) )
% 4.69/5.12 = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OBit1(
% 4.69/5.12 c_Int_OPls ) ) ), X ) }.
% 4.69/5.12 (21380) {G0,W12,D5,L1,V0,M1} { c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_Nat_Onat ), c_Groups_Oone__class_Oone(
% 4.69/5.12 tc_Nat_Onat ) ) = c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 4.69/5.12 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) }.
% 4.69/5.12 (21381) {G0,W11,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ) }.
% 4.69/5.12 (21382) {G0,W11,D3,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Int_Oint, c_Int_OPls, X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 4.69/5.12 , c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 4.69/5.12 (21383) {G0,W19,D5,L2,V1,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) = c_Nat_OSuc(
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ),
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) }.
% 4.69/5.12 (21384) {G0,W15,D4,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( X ) ) ) }.
% 4.69/5.12 (21385) {G0,W15,D4,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit1( X ) ) ) }.
% 4.69/5.12 (21386) {G0,W16,D4,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Int_Oint, Y, c_Int_OPls ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) }.
% 4.69/5.12 (21387) {G0,W20,D4,L3,V2,M3} { c_Orderings_Oord__class_Oless( tc_Int_Oint
% 4.69/5.12 , Y, c_Int_OPls ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 4.69/5.12 c_Int_OPls ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) }.
% 4.69/5.12 (21388) {G0,W23,D4,L3,V2,M3} { c_Orderings_Oord__class_Oless( tc_Int_Oint
% 4.69/5.12 , Y, c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 4.69/5.12 c_Int_OPls ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 4.69/5.12 (21389) {G0,W10,D5,L1,V0,M1} { c_Int_Onumber__class_Onumber__of(
% 4.69/5.12 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) = c_Nat_OSuc(
% 4.69/5.12 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) }.
% 4.69/5.12 (21390) {G0,W10,D5,L1,V0,M1} { c_Nat_OSuc( c_Nat_OSuc(
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) =
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 4.69/5.12 c_Int_OPls ) ) ) }.
% 4.69/5.12 (21391) {G0,W12,D6,L1,V1,M1} { c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 4.69/5.12 c_Int_OPls ) ) ), X ) = c_Nat_OSuc( c_Nat_OSuc( X ) ) }.
% 4.69/5.12 (21392) {G0,W12,D6,L1,V1,M1} { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X
% 4.69/5.12 , c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1
% 4.69/5.12 ( c_Int_OPls ) ) ) ) = c_Nat_OSuc( c_Nat_OSuc( X ) ) }.
% 4.69/5.12 (21393) {G0,W22,D6,L2,V2,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Nat_Onat, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OPls )
% 4.69/5.12 , X ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) =
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 4.69/5.12 ) ) ) }.
% 4.69/5.12 (21394) {G0,W13,D6,L1,V1,M1} { c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 4.69/5.12 , c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1
% 4.69/5.12 ( c_Int_OPls ) ) ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, X
% 4.69/5.12 ) }.
% 4.69/5.12 (21395) {G0,W13,D6,L1,V1,M1} { c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 4.69/5.12 , X, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0(
% 4.69/5.12 c_Int_OBit1( c_Int_OPls ) ) ) ) = c_Groups_Oplus__class_Oplus(
% 4.69/5.12 tc_Nat_Onat, X, X ) }.
% 4.69/5.12 (21396) {G0,W18,D5,L2,V3,M2} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Int_Oint, Z, c_Int_OPls ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 4.69/5.12 , c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Z ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ), X ) ) =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 4.69/5.12 (21397) {G0,W25,D5,L2,V3,M2} { c_Orderings_Oord__class_Oless( tc_Int_Oint
% 4.69/5.12 , Z, c_Int_OPls ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Z ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ), X ) ) =
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ) ), X ) }.
% 4.69/5.12 (21398) {G0,W23,D4,L4,V3,M4} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), ! X =
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y ) ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, X ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Groups_Oone__class_Oone
% 4.69/5.12 ( tc_Int_Oint ), Y ) }.
% 4.69/5.12 (21399) {G0,W24,D4,L4,V3,M4} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), ! X =
% 4.69/5.12 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y ) ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Z ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 4.69/5.12 (21400) {G0,W9,D5,L1,V0,M1} { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( c_Int_OBit1(
% 4.69/5.12 c_Int_OPls ) ) ) ) }.
% 4.69/5.12 (21401) {G0,W9,D5,L1,V0,M1} { c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 4.69/5.12 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 4.69/5.12 c_Int_OPls ) ) ) ) }.
% 4.69/5.12 (21402) {G0,W40,D4,L7,V6,M7} { !
% 4.69/5.12 class_Rings_Olinordered__semiring__1__strict( X ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 4.69/5.12 ( X, T, Y ), ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), U ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), W
% 4.69/5.12 ), ! c_Groups_Oplus__class_Oplus( X, U, W ) = c_Groups_Oone__class_Oone
% 4.69/5.12 ( X ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 4.69/5.12 X, W, T ) ), Y ) }.
% 4.69/5.12 (21403) {G0,W20,D5,L2,V3,M2} { ! class_RealVector_Oreal__normed__vector( X
% 4.69/5.12 ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.69/5.12 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 4.69/5.12 ( X, Y ) ) ), c_RealVector_Onorm__class_Onorm( X,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) ) }.
% 4.69/5.12 (21404) {G0,W13,D2,L4,V3,M4} { ! class_Rings_Olinordered__idom( X ), Z = Y
% 4.69/5.12 , c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless
% 4.69/5.12 ( X, Y, Z ) }.
% 4.69/5.12 (21405) {G0,W12,D3,L3,V3,M3} { !
% 4.69/5.12 class_Rings_Odivision__ring__inverse__zero( X ), !
% 4.69/5.12 c_Rings_Oinverse__class_Oinverse( X, Z ) =
% 4.69/5.12 c_Rings_Oinverse__class_Oinverse( X, Y ), Z = Y }.
% 4.69/5.12 (21406) {G0,W12,D3,L3,V3,M3} { !
% 4.69/5.12 class_Rings_Odivision__ring__inverse__zero( X ), !
% 4.69/5.12 c_Rings_Oinverse__class_Oinverse( X, Z ) =
% 4.69/5.12 c_Rings_Oinverse__class_Oinverse( X, Y ), Z = Y }.
% 4.69/5.12 (21407) {G0,W12,D3,L3,V3,M3} { !
% 4.69/5.12 class_Rings_Odivision__ring__inverse__zero( X ), ! Z = Y,
% 4.69/5.12 c_Rings_Oinverse__class_Oinverse( X, Z ) =
% 4.69/5.12 c_Rings_Oinverse__class_Oinverse( X, Y ) }.
% 4.69/5.12 (21408) {G0,W9,D4,L2,V2,M2} { ! class_Rings_Odivision__ring__inverse__zero
% 4.69/5.12 ( X ), c_Rings_Oinverse__class_Oinverse( X,
% 4.69/5.12 c_Rings_Oinverse__class_Oinverse( X, Y ) ) = Y }.
% 4.69/5.12 (21409) {G0,W7,D3,L1,V1,M1} { c_RealVector_Onorm__class_Onorm(
% 4.69/5.12 tc_RealDef_Oreal, X ) = c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X )
% 4.69/5.12 }.
% 4.69/5.12 (21410) {G0,W10,D4,L2,V2,M2} { ! class_Rings_Omult__zero( X ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, c_Groups_Ozero__class_Ozero( X ), Y ) =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.12 (21411) {G0,W10,D4,L2,V2,M2} { ! class_RealVector_Oreal__normed__algebra(
% 4.69/5.12 X ), c_Groups_Otimes__class_Otimes( X, c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.12 Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.12 (21412) {G0,W10,D4,L2,V2,M2} { ! class_RealVector_Oreal__normed__algebra(
% 4.69/5.12 X ), c_Groups_Otimes__class_Otimes( X, c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.12 Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.12 (21413) {G0,W10,D4,L2,V2,M2} { ! class_Rings_Omult__zero( X ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, Y, c_Groups_Ozero__class_Ozero( X ) ) =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.12 (21414) {G0,W10,D4,L2,V2,M2} { ! class_RealVector_Oreal__normed__algebra(
% 4.69/5.12 X ), c_Groups_Otimes__class_Otimes( X, Y, c_Groups_Ozero__class_Ozero( X
% 4.69/5.12 ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.12 (21415) {G0,W10,D4,L2,V2,M2} { ! class_RealVector_Oreal__normed__algebra(
% 4.69/5.12 X ), c_Groups_Otimes__class_Otimes( X, Y, c_Groups_Ozero__class_Ozero( X
% 4.69/5.12 ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.12 (21416) {G0,W17,D3,L4,V3,M4} { ! class_Rings_Oring__no__zero__divisors( X
% 4.69/5.12 ), ! c_Groups_Otimes__class_Otimes( X, Z, Y ) =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ), Y
% 4.69/5.12 = c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.12 (21417) {G0,W13,D3,L3,V3,M3} { ! class_Rings_Oring__no__zero__divisors( X
% 4.69/5.12 ), ! Z = c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes
% 4.69/5.12 ( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.12 (21418) {G0,W13,D3,L3,V3,M3} { ! class_Rings_Oring__no__zero__divisors( X
% 4.69/5.12 ), ! Y = c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes
% 4.69/5.12 ( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.12 (21419) {G0,W17,D3,L4,V3,M4} { ! class_Rings_Ono__zero__divisors( X ), Y =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.12 ! c_Groups_Otimes__class_Otimes( X, Y, Z ) = c_Groups_Ozero__class_Ozero
% 4.69/5.12 ( X ) }.
% 4.69/5.12 (21420) {G0,W17,D3,L4,V3,M4} { ! class_Rings_Ono__zero__divisors( X ), !
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X
% 4.69/5.12 ), Z = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero
% 4.69/5.12 ( X ) }.
% 4.69/5.12 (21421) {G0,W7,D3,L2,V1,M2} { ! class_Rings_Ozero__neq__one( X ), !
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ) = c_Groups_Oone__class_Oone( X ) }.
% 4.69/5.12 (21422) {G0,W7,D3,L2,V1,M2} { ! class_Rings_Ozero__neq__one( X ), !
% 4.69/5.12 c_Groups_Oone__class_Oone( X ) = c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.12 (21423) {G0,W20,D4,L2,V4,M2} { ! class_RealVector_Oreal__normed__algebra(
% 4.69/5.12 X ), c_Groups_Otimes__class_Otimes( X, T, c_Groups_Oplus__class_Oplus( X
% 4.69/5.12 , Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Groups_Otimes__class_Otimes(
% 4.69/5.12 X, T, Y ) ) }.
% 4.69/5.12 (21424) {G0,W20,D4,L2,V4,M2} { ! class_RealVector_Oreal__normed__algebra(
% 4.69/5.12 X ), c_Groups_Otimes__class_Otimes( X, T, c_Groups_Oplus__class_Oplus( X
% 4.69/5.12 , Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Groups_Otimes__class_Otimes(
% 4.69/5.12 X, T, Y ) ) }.
% 4.69/5.12 (21425) {G0,W20,D4,L2,V4,M2} { ! class_Rings_Ocomm__semiring( X ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 4.69/5.12 , Y ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 4.69/5.12 , T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 4.69/5.12 (21426) {G0,W20,D4,L2,V4,M2} { ! class_RealVector_Oreal__normed__algebra(
% 4.69/5.12 X ), c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T
% 4.69/5.12 , Z ), Y ) = c_Groups_Oplus__class_Oplus( X,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, T, Y ), c_Groups_Otimes__class_Otimes(
% 4.69/5.12 X, Z, Y ) ) }.
% 4.69/5.12 (21427) {G0,W20,D4,L2,V4,M2} { ! class_RealVector_Oreal__normed__algebra(
% 4.69/5.12 X ), c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T
% 4.69/5.12 , Z ), Y ) = c_Groups_Oplus__class_Oplus( X,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, T, Y ), c_Groups_Otimes__class_Otimes(
% 4.69/5.12 X, Z, Y ) ) }.
% 4.69/5.12 (21428) {G0,W26,D5,L2,V5,M2} { ! class_Rings_Osemiring( X ),
% 4.69/5.12 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, T )
% 4.69/5.12 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, T
% 4.69/5.12 ), Y ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes
% 4.69/5.12 ( X, c_Groups_Oplus__class_Oplus( X, U, Z ), T ), Y ) }.
% 4.69/5.12 (21429) {G0,W20,D4,L2,V4,M2} { ! class_RealVector_Oreal__normed__algebra(
% 4.69/5.12 X ), c_Groups_Otimes__class_Otimes( X, T, c_Groups_Ominus__class_Ominus(
% 4.69/5.12 X, Z, Y ) ) = c_Groups_Ominus__class_Ominus( X,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Groups_Otimes__class_Otimes(
% 4.69/5.12 X, T, Y ) ) }.
% 4.69/5.12 (21430) {G0,W20,D4,L2,V4,M2} { ! class_RealVector_Oreal__normed__algebra(
% 4.69/5.12 X ), c_Groups_Otimes__class_Otimes( X, T, c_Groups_Ominus__class_Ominus(
% 4.69/5.12 X, Z, Y ) ) = c_Groups_Ominus__class_Ominus( X,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Groups_Otimes__class_Otimes(
% 4.69/5.12 X, T, Y ) ) }.
% 4.69/5.12 (21431) {G0,W20,D4,L2,V4,M2} { ! class_RealVector_Oreal__normed__algebra(
% 4.69/5.12 X ), c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X,
% 4.69/5.12 T, Z ), Y ) = c_Groups_Ominus__class_Ominus( X,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, T, Y ), c_Groups_Otimes__class_Otimes(
% 4.69/5.12 X, Z, Y ) ) }.
% 4.69/5.12 (21432) {G0,W20,D4,L2,V4,M2} { ! class_RealVector_Oreal__normed__algebra(
% 4.69/5.12 X ), c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X,
% 4.69/5.12 T, Z ), Y ) = c_Groups_Ominus__class_Ominus( X,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, T, Y ), c_Groups_Otimes__class_Otimes(
% 4.69/5.12 X, Z, Y ) ) }.
% 4.69/5.12 (21433) {G0,W15,D4,L2,V3,M2} { ! class_Rings_Oring( X ),
% 4.69/5.12 c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes( X, Z,
% 4.69/5.12 Y ) ) = c_Groups_Otimes__class_Otimes( X, Z,
% 4.69/5.12 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 4.69/5.12 (21434) {G0,W15,D4,L2,V3,M2} { ! class_Rings_Oring( X ),
% 4.69/5.12 c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes( X, Z,
% 4.69/5.12 Y ) ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus
% 4.69/5.12 ( X, Z ), Y ) }.
% 4.69/5.12 (21435) {G0,W15,D4,L2,V3,M2} { ! class_RealVector_Oreal__normed__algebra(
% 4.69/5.12 X ), c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus
% 4.69/5.12 ( X, Y ) ) = c_Groups_Ouminus__class_Ouminus( X,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 4.69/5.12 (21436) {G0,W15,D4,L2,V3,M2} { ! class_RealVector_Oreal__normed__algebra(
% 4.69/5.12 X ), c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus
% 4.69/5.12 ( X, Y ) ) = c_Groups_Ouminus__class_Ouminus( X,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 4.69/5.12 (21437) {G0,W15,D4,L2,V3,M2} { ! class_RealVector_Oreal__normed__algebra(
% 4.69/5.12 X ), c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X
% 4.69/5.12 , Z ), Y ) = c_Groups_Ouminus__class_Ouminus( X,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 4.69/5.12 (21438) {G0,W15,D4,L2,V3,M2} { ! class_RealVector_Oreal__normed__algebra(
% 4.69/5.12 X ), c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X
% 4.69/5.12 , Z ), Y ) = c_Groups_Ouminus__class_Ouminus( X,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 4.69/5.12 (21439) {G0,W15,D4,L2,V3,M2} { ! class_Rings_Oring( X ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 4.69/5.12 , Y ) = c_Groups_Otimes__class_Otimes( X, Z,
% 4.69/5.12 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 4.69/5.12 (21440) {G0,W15,D4,L2,V3,M2} { ! class_Rings_Oring( X ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 4.69/5.12 , c_Groups_Ouminus__class_Ouminus( X, Y ) ) =
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, Z, Y ) }.
% 4.69/5.12 (21441) {G0,W19,D3,L4,V3,M4} { ! class_Rings_Oidom( X ), !
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, Z, Z ) = c_Groups_Otimes__class_Otimes
% 4.69/5.12 ( X, Y, Y ), Z = Y, Z = c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 4.69/5.12 (21442) {G0,W14,D3,L3,V3,M3} { ! class_Rings_Oidom( X ), ! Z = Y,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, Z, Z ) = c_Groups_Otimes__class_Otimes
% 4.69/5.12 ( X, Y, Y ) }.
% 4.69/5.12 (21443) {G0,W16,D3,L3,V3,M3} { ! class_Rings_Oidom( X ), ! Z =
% 4.69/5.12 c_Groups_Ouminus__class_Ouminus( X, Y ), c_Groups_Otimes__class_Otimes( X
% 4.69/5.12 , Z, Z ) = c_Groups_Otimes__class_Otimes( X, Y, Y ) }.
% 4.69/5.12 (21444) {G0,W10,D4,L2,V2,M2} { ! class_Rings_Odivision__ring( X ),
% 4.69/5.12 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 4.69/5.12 = c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.12 (21445) {G0,W10,D4,L2,V2,M2} { ! class_RealVector_Oreal__normed__field( X
% 4.69/5.12 ), c_Rings_Oinverse__class_Odivide( X, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.12 , Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.12 (21446) {G0,W10,D4,L2,V2,M2} { !
% 4.69/5.12 class_Rings_Odivision__ring__inverse__zero( X ),
% 4.69/5.12 c_Rings_Oinverse__class_Odivide( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 4.69/5.12 = c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.12 (21447) {G0,W17,D4,L2,V4,M2} { ! class_Rings_Odivision__ring( X ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, T, c_Rings_Oinverse__class_Odivide( X,
% 4.69/5.12 Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) }.
% 4.69/5.12 (21448) {G0,W20,D4,L2,V4,M2} { ! class_Rings_Odivision__ring( X ),
% 4.69/5.12 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, T, Z
% 4.69/5.12 ), Y ) = c_Groups_Oplus__class_Oplus( X, c_Rings_Oinverse__class_Odivide
% 4.69/5.12 ( X, T, Y ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 4.69/5.12 (21449) {G0,W20,D4,L2,V4,M2} { ! class_RealVector_Oreal__normed__field( X
% 4.69/5.12 ), c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, T
% 4.69/5.12 , Z ), Y ) = c_Groups_Oplus__class_Oplus( X,
% 4.69/5.12 c_Rings_Oinverse__class_Odivide( X, T, Y ),
% 4.69/5.12 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 4.69/5.12 (21450) {G0,W20,D4,L2,V4,M2} { ! class_Rings_Odivision__ring( X ),
% 4.69/5.12 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X, T,
% 4.69/5.12 Z ), Y ) = c_Groups_Ominus__class_Ominus( X,
% 4.69/5.12 c_Rings_Oinverse__class_Odivide( X, T, Y ),
% 4.69/5.12 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 4.69/5.12 (21451) {G0,W20,D4,L2,V4,M2} { ! class_RealVector_Oreal__normed__field( X
% 4.69/5.12 ), c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X
% 4.69/5.12 , T, Z ), Y ) = c_Groups_Ominus__class_Ominus( X,
% 4.69/5.12 c_Rings_Oinverse__class_Odivide( X, T, Y ),
% 4.69/5.12 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 4.69/5.12 (21452) {G0,W9,D4,L2,V2,M2} { ! class_Rings_Odivision__ring( X ),
% 4.69/5.12 c_Rings_Oinverse__class_Odivide( X, Y, c_Groups_Oone__class_Oone( X ) ) =
% 4.69/5.12 Y }.
% 4.69/5.12 (21453) {G0,W17,D4,L2,V3,M2} { ! class_Rings_Olinordered__idom( X ),
% 4.69/5.12 c_Groups_Oabs__class_Oabs( X, c_Groups_Otimes__class_Otimes( X, Z, Y ) )
% 4.69/5.12 = c_Groups_Otimes__class_Otimes( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 4.69/5.12 c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 4.69/5.12 (21454) {G0,W15,D4,L2,V2,M2} { ! class_Rings_Olinordered__idom( X ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, c_Groups_Oabs__class_Oabs( X, Y ),
% 4.69/5.12 c_Groups_Oabs__class_Oabs( X, Y ) ) = c_Groups_Otimes__class_Otimes( X, Y
% 4.69/5.12 , Y ) }.
% 4.69/5.12 (21455) {G0,W9,D4,L2,V1,M2} { ! class_Rings_Odivision__ring__inverse__zero
% 4.69/5.12 ( X ), c_Rings_Oinverse__class_Oinverse( X, c_Groups_Ozero__class_Ozero(
% 4.69/5.12 X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.12 (21456) {G0,W12,D3,L3,V2,M3} { !
% 4.69/5.12 class_Rings_Odivision__ring__inverse__zero( X ), !
% 4.69/5.12 c_Rings_Oinverse__class_Oinverse( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 4.69/5.12 ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.12 (21457) {G0,W12,D3,L3,V2,M3} { !
% 4.69/5.12 class_Rings_Odivision__ring__inverse__zero( X ), ! Y =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Oinverse( X, Y
% 4.69/5.12 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.12 (21458) {G0,W12,D3,L3,V2,M3} { ! class_Rings_Odivision__ring( X ), Y =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), ! c_Rings_Oinverse__class_Oinverse( X,
% 4.69/5.12 Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.12 (21459) {G0,W13,D4,L3,V2,M3} { ! class_Rings_Odivision__ring( X ), Y =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Oinverse( X,
% 4.69/5.12 c_Rings_Oinverse__class_Oinverse( X, Y ) ) = Y }.
% 4.69/5.12 (21460) {G0,W12,D3,L3,V2,M3} { ! class_Rings_Odivision__ring( X ), !
% 4.69/5.12 c_Rings_Oinverse__class_Oinverse( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 4.69/5.12 ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.12 (21461) {G0,W20,D3,L5,V3,M5} { ! class_Rings_Odivision__ring( X ), !
% 4.69/5.12 c_Rings_Oinverse__class_Oinverse( X, Z ) =
% 4.69/5.12 c_Rings_Oinverse__class_Oinverse( X, Y ), Z = c_Groups_Ozero__class_Ozero
% 4.69/5.12 ( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z = Y }.
% 4.69/5.12 (21462) {G0,W15,D4,L2,V3,M2} { ! class_RealVector_Oreal__normed__vector( X
% 4.69/5.12 ), c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X
% 4.69/5.12 , Z, Y ) ) = c_RealVector_Onorm__class_Onorm( X,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( X, Y, Z ) ) }.
% 4.69/5.12 (21463) {G0,W15,D4,L2,V3,M2} { ! class_Rings_Odivision__ring( X ),
% 4.69/5.12 c_Groups_Ouminus__class_Ouminus( X, c_Rings_Oinverse__class_Odivide( X, Z
% 4.69/5.12 , Y ) ) = c_Rings_Oinverse__class_Odivide( X,
% 4.69/5.12 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) }.
% 4.69/5.12 (21464) {G0,W15,D4,L2,V3,M2} { ! class_RealVector_Oreal__normed__field( X
% 4.69/5.12 ), c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus(
% 4.69/5.12 X, Z ), Y ) = c_Groups_Ouminus__class_Ouminus( X,
% 4.69/5.12 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 4.69/5.12 (21465) {G0,W9,D4,L2,V1,M2} { ! class_Rings_Olinordered__idom( X ),
% 4.69/5.12 c_Groups_Oabs__class_Oabs( X, c_Groups_Oone__class_Oone( X ) ) =
% 4.69/5.12 c_Groups_Oone__class_Oone( X ) }.
% 4.69/5.12 (21466) {G0,W6,D3,L1,V0,M1} { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 4.69/5.12 (21467) {G0,W11,D4,L2,V2,M2} { ! class_RealVector_Oreal__normed__vector( X
% 4.69/5.12 ), c_RealVector_Onorm__class_Onorm( X, c_Groups_Ouminus__class_Ouminus(
% 4.69/5.12 X, Y ) ) = c_RealVector_Onorm__class_Onorm( X, Y ) }.
% 4.69/5.12 (21468) {G0,W9,D4,L2,V1,M2} { ! class_Rings_Odivision__ring( X ),
% 4.69/5.12 c_Rings_Oinverse__class_Oinverse( X, c_Groups_Oone__class_Oone( X ) ) =
% 4.69/5.12 c_Groups_Oone__class_Oone( X ) }.
% 4.69/5.12 (21469) {G0,W13,D4,L2,V2,M2} { !
% 4.69/5.12 class_Rings_Odivision__ring__inverse__zero( X ),
% 4.69/5.12 c_Rings_Oinverse__class_Oinverse( X, c_Groups_Ouminus__class_Ouminus( X,
% 4.69/5.12 Y ) ) = c_Groups_Ouminus__class_Ouminus( X,
% 4.69/5.12 c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 4.69/5.12 (21470) {G0,W15,D4,L1,V2,M1} { c_Rings_Oinverse__class_Odivide(
% 4.69/5.12 tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X )
% 4.69/5.12 , c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ) ) =
% 4.69/5.12 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, Y ) }.
% 4.69/5.12 (21471) {G0,W11,D4,L2,V2,M2} { ! class_RealVector_Oreal__normed__vector( X
% 4.69/5.12 ), c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.69/5.12 c_RealVector_Onorm__class_Onorm( X, Y ) ) =
% 4.69/5.12 c_RealVector_Onorm__class_Onorm( X, Y ) }.
% 4.69/5.12 (21472) {G0,W10,D3,L2,V2,M2} { ! class_Rings_Olinordered__ring( X ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, Y, Y ) ) }.
% 4.69/5.12 (21473) {G0,W18,D3,L4,V3,M4} { ! class_Rings_Olinordered__ring__strict( X
% 4.69/5.12 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 4.69/5.12 X ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ), alpha21( X, Y, Z ),
% 4.69/5.12 alpha52( X, Y, Z ) }.
% 4.69/5.12 (21474) {G0,W14,D3,L3,V3,M3} { ! class_Rings_Olinordered__ring__strict( X
% 4.69/5.12 ), ! alpha21( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 4.69/5.12 ) ) }.
% 4.69/5.12 (21475) {G0,W14,D3,L3,V3,M3} { ! class_Rings_Olinordered__ring__strict( X
% 4.69/5.12 ), ! alpha52( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 4.69/5.12 ) ) }.
% 4.69/5.12 (21476) {G0,W9,D3,L2,V3,M2} { ! alpha52( X, Y, Z ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.12 ) }.
% 4.69/5.12 (21477) {G0,W9,D3,L2,V3,M2} { ! alpha52( X, Y, Z ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.12 ) }.
% 4.69/5.12 (21478) {G0,W14,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 X, Y, c_Groups_Ozero__class_Ozero( X ) ), alpha52( X, Y, Z ) }.
% 4.69/5.12 (21479) {G0,W9,D3,L2,V3,M2} { ! alpha21( X, Y, Z ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 4.69/5.12 ) }.
% 4.69/5.12 (21480) {G0,W9,D3,L2,V3,M2} { ! alpha21( X, Y, Z ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 4.69/5.12 ) }.
% 4.69/5.12 (21481) {G0,W14,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), Z ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 4.69/5.12 ), alpha21( X, Y, Z ) }.
% 4.69/5.12 (21482) {G0,W18,D3,L4,V3,M4} { ! class_Rings_Olinordered__ring__strict( X
% 4.69/5.12 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes
% 4.69/5.12 ( X, Z, Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha22( X, Y, Z ),
% 4.69/5.12 alpha53( X, Y, Z ) }.
% 4.69/5.12 (21483) {G0,W14,D3,L3,V3,M3} { ! class_Rings_Olinordered__ring__strict( X
% 4.69/5.12 ), ! alpha22( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero( X
% 4.69/5.12 ) ) }.
% 4.69/5.12 (21484) {G0,W14,D3,L3,V3,M3} { ! class_Rings_Olinordered__ring__strict( X
% 4.69/5.12 ), ! alpha53( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero( X
% 4.69/5.12 ) ) }.
% 4.69/5.12 (21485) {G0,W9,D3,L2,V3,M2} { ! alpha53( X, Y, Z ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.12 ) }.
% 4.69/5.12 (21486) {G0,W9,D3,L2,V3,M2} { ! alpha53( X, Y, Z ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 4.69/5.12 ) }.
% 4.69/5.12 (21487) {G0,W14,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 X, c_Groups_Ozero__class_Ozero( X ), Y ), alpha53( X, Y, Z ) }.
% 4.69/5.12 (21488) {G0,W9,D3,L2,V3,M2} { ! alpha22( X, Y, Z ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 4.69/5.12 ) }.
% 4.69/5.12 (21489) {G0,W9,D3,L2,V3,M2} { ! alpha22( X, Y, Z ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.12 ) }.
% 4.69/5.12 (21490) {G0,W14,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), Z ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.12 ), alpha22( X, Y, Z ) }.
% 4.69/5.12 (21491) {G0,W20,D3,L4,V3,M4} { ! class_Rings_Oordered__cancel__semiring( X
% 4.69/5.12 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 4.69/5.12 X ), Y ), ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless__eq
% 4.69/5.12 ( X, c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X,
% 4.69/5.12 Y, Z ) ) }.
% 4.69/5.12 (21492) {G0,W20,D3,L4,V3,M4} { ! class_Rings_Oordered__cancel__semiring( X
% 4.69/5.12 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 4.69/5.12 X ), Y ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 4.69/5.12 , c_Groups_Otimes__class_Otimes( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 4.69/5.12 X ) ) }.
% 4.69/5.12 (21493) {G0,W20,D3,L4,V3,M4} { ! class_Rings_Oordered__cancel__semiring( X
% 4.69/5.12 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 4.69/5.12 X ), Y ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 4.69/5.12 , c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero(
% 4.69/5.12 X ) ) }.
% 4.69/5.12 (21494) {G0,W20,D3,L4,V3,M4} { ! class_Rings_Oordered__cancel__semiring( X
% 4.69/5.12 ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Y
% 4.69/5.12 , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 4.69/5.12 (21495) {G0,W20,D3,L4,V3,M4} { ! class_Rings_Oordered__ring( X ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.12 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 4.69/5.12 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 4.69/5.12 Z ) ) }.
% 4.69/5.12 (21496) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Oordered__semiring( X ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 4.69/5.12 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 4.69/5.12 X, Z, T ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 4.69/5.12 (21497) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Oordered__semiring( X ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 4.69/5.12 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 4.69/5.12 X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 4.69/5.12 (21498) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Oordered__comm__semiring( X )
% 4.69/5.12 , ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 4.69/5.12 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 4.69/5.12 X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 4.69/5.12 (21499) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Oordered__ring( X ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.12 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 4.69/5.12 X, Y, T ), c_Groups_Otimes__class_Otimes( X, Z, T ) ) }.
% 4.69/5.12 (21500) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Oordered__ring( X ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.12 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 4.69/5.12 X, T, Y ), c_Groups_Otimes__class_Otimes( X, T, Z ) ) }.
% 4.69/5.12 (21501) {G0,W30,D3,L6,V5,M6} { ! class_Rings_Oordered__semiring( X ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 4.69/5.12 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 4.69/5.12 X ), U ), c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, Z, U ), c_Groups_Otimes__class_Otimes(
% 4.69/5.12 X, Y, T ) ) }.
% 4.69/5.12 (21502) {G0,W30,D3,L6,V5,M6} { ! class_Rings_Oordered__semiring( X ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 4.69/5.12 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 4.69/5.12 X ), U ), c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, Z, U ), c_Groups_Otimes__class_Otimes(
% 4.69/5.12 X, Y, T ) ) }.
% 4.69/5.12 (21503) {G0,W20,D3,L4,V3,M4} { ! class_Rings_Oordered__ring( X ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 4.69/5.12 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 4.69/5.12 X ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 4.69/5.12 ) ) }.
% 4.69/5.12 (21504) {G0,W20,D3,L4,V3,M4} { ! class_Rings_Oordered__ring( X ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.12 ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 4.69/5.12 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z,
% 4.69/5.12 Y ) ) }.
% 4.69/5.12 (21505) {G0,W20,D3,L4,V3,M4} { ! class_Rings_Oordered__cancel__semiring( X
% 4.69/5.12 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 4.69/5.12 X ), Z ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 4.69/5.12 , c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero(
% 4.69/5.12 X ) ) }.
% 4.69/5.12 (21506) {G0,W20,D3,L4,V3,M4} { ! class_Rings_Oordered__cancel__semiring( X
% 4.69/5.12 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 4.69/5.12 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 4.69/5.12 (21507) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__ring__strict( X
% 4.69/5.12 ), ! c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, T, c_Groups_Ozero__class_Ozero( X ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Y
% 4.69/5.12 ), c_Groups_Otimes__class_Otimes( X, T, Z ) ) }.
% 4.69/5.12 (21508) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__ring__strict( X
% 4.69/5.12 ), ! c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, T, c_Groups_Ozero__class_Ozero( X ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y, T
% 4.69/5.12 ), c_Groups_Otimes__class_Otimes( X, Z, T ) ) }.
% 4.69/5.12 (21509) {G0,W21,D3,L4,V4,M4} { !
% 4.69/5.12 class_Rings_Olinordered__comm__semiring__strict( X ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 4.69/5.12 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 4.69/5.12 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 4.69/5.12 (21510) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__semiring__strict
% 4.69/5.12 ( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 4.69/5.12 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 4.69/5.12 (21511) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__semiring__strict
% 4.69/5.12 ( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z, T
% 4.69/5.12 ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 4.69/5.12 (21512) {G0,W20,D3,L4,V3,M4} { ! class_Rings_Olinordered__ring__strict( X
% 4.69/5.12 ), ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X
% 4.69/5.12 ) ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero
% 4.69/5.12 ( X ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X
% 4.69/5.12 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 4.69/5.12 (21513) {G0,W20,D3,L4,V3,M4} { ! class_Rings_Olinordered__semiring__strict
% 4.69/5.12 ( X ), ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero
% 4.69/5.12 ( X ) ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero
% 4.69/5.12 ( X ), Z ), c_Orderings_Oord__class_Oless( X,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, Y, Z ), c_Groups_Ozero__class_Ozero( X
% 4.69/5.12 ) ) }.
% 4.69/5.12 (21514) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__ring__strict( X
% 4.69/5.12 ), ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X
% 4.69/5.12 ) ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes(
% 4.69/5.12 X, Y, T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 4.69/5.12 (21515) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__ring__strict( X
% 4.69/5.12 ), ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X
% 4.69/5.12 ) ), ! c_Orderings_Oord__class_Oless( X, Z, T ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y, T
% 4.69/5.12 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 4.69/5.12 (21516) {G0,W20,D3,L4,V3,M4} { ! class_Rings_Olinordered__semiring__strict
% 4.69/5.12 ( X ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X
% 4.69/5.12 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 4.69/5.12 }.
% 4.69/5.12 (21517) {G0,W20,D3,L4,V3,M4} { ! class_Rings_Olinordered__semiring__strict
% 4.69/5.12 ( X ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X
% 4.69/5.12 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 4.69/5.12 }.
% 4.69/5.12 (21518) {G0,W20,D3,L4,V3,M4} { ! class_Rings_Olinordered__semiring__strict
% 4.69/5.12 ( X ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X
% 4.69/5.12 ), Y ), ! c_Orderings_Oord__class_Oless( X, Z,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero( X
% 4.69/5.12 ) ) }.
% 4.69/5.12 (21519) {G0,W20,D3,L4,V3,M4} { ! class_Rings_Olinordered__semiring__strict
% 4.69/5.12 ( X ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X
% 4.69/5.12 ), Y ), ! c_Orderings_Oord__class_Oless( X, Z,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, Y, Z ), c_Groups_Ozero__class_Ozero( X
% 4.69/5.12 ) ) }.
% 4.69/5.12 (21520) {G0,W20,D3,L4,V3,M4} { ! class_Rings_Olinordered__semiring__strict
% 4.69/5.12 ( X ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X
% 4.69/5.12 ), Y ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero
% 4.69/5.12 ( X ), Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero
% 4.69/5.12 ( X ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 4.69/5.12 (21521) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__ring__strict( X
% 4.69/5.12 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.12 , Y ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes
% 4.69/5.12 ( X, Y, T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, T, Z ) }.
% 4.69/5.12 (21522) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__ring__strict( X
% 4.69/5.12 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.12 , Y ), ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y, T
% 4.69/5.12 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 4.69/5.12 (21523) {G0,W22,D3,L4,V4,M4} { ! class_Rings_Olinordered__ring__strict( X
% 4.69/5.12 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X
% 4.69/5.12 , T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ), alpha23( X, Y, Z, T
% 4.69/5.12 ), alpha54( X, Y, Z, T ) }.
% 4.69/5.12 (21524) {G0,W17,D3,L3,V4,M3} { ! class_Rings_Olinordered__ring__strict( X
% 4.69/5.12 ), ! alpha23( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Groups_Otimes__class_Otimes(
% 4.69/5.12 X, T, Y ) ) }.
% 4.69/5.12 (21525) {G0,W17,D3,L3,V4,M3} { ! class_Rings_Olinordered__ring__strict( X
% 4.69/5.12 ), ! alpha54( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Groups_Otimes__class_Otimes(
% 4.69/5.12 X, T, Y ) ) }.
% 4.69/5.12 (21526) {G0,W10,D3,L2,V4,M2} { ! alpha54( X, Y, Z, T ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, T, c_Groups_Ozero__class_Ozero( X ) )
% 4.69/5.12 }.
% 4.69/5.12 (21527) {G0,W9,D2,L2,V4,M2} { ! alpha54( X, Y, Z, T ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 4.69/5.12 (21528) {G0,W14,D3,L3,V4,M3} { ! c_Orderings_Oord__class_Oless( X, T,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless( X, Y
% 4.69/5.12 , Z ), alpha54( X, Y, Z, T ) }.
% 4.69/5.12 (21529) {G0,W10,D3,L2,V4,M2} { ! alpha23( X, Y, Z, T ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T )
% 4.69/5.12 }.
% 4.69/5.12 (21530) {G0,W9,D2,L2,V4,M2} { ! alpha23( X, Y, Z, T ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 4.69/5.12 (21531) {G0,W14,D3,L3,V4,M3} { ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), T ), ! c_Orderings_Oord__class_Oless( X
% 4.69/5.12 , Z, Y ), alpha23( X, Y, Z, T ) }.
% 4.69/5.12 (21532) {G0,W22,D3,L4,V4,M4} { ! class_Rings_Olinordered__ring__strict( X
% 4.69/5.12 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X
% 4.69/5.12 , T, Z ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ), alpha24( X, Y, Z, T
% 4.69/5.12 ), alpha55( X, Y, Z, T ) }.
% 4.69/5.12 (21533) {G0,W17,D3,L3,V4,M3} { ! class_Rings_Olinordered__ring__strict( X
% 4.69/5.12 ), ! alpha24( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Groups_Otimes__class_Otimes(
% 4.69/5.12 X, Y, Z ) ) }.
% 4.69/5.12 (21534) {G0,W17,D3,L3,V4,M3} { ! class_Rings_Olinordered__ring__strict( X
% 4.69/5.12 ), ! alpha55( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Groups_Otimes__class_Otimes(
% 4.69/5.12 X, Y, Z ) ) }.
% 4.69/5.12 (21535) {G0,W10,D3,L2,V4,M2} { ! alpha55( X, Y, Z, T ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 4.69/5.12 }.
% 4.69/5.12 (21536) {G0,W9,D2,L2,V4,M2} { ! alpha55( X, Y, Z, T ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, Y, T ) }.
% 4.69/5.12 (21537) {G0,W14,D3,L3,V4,M3} { ! c_Orderings_Oord__class_Oless( X, Z,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless( X, Y
% 4.69/5.12 , T ), alpha55( X, Y, Z, T ) }.
% 4.69/5.12 (21538) {G0,W10,D3,L2,V4,M2} { ! alpha24( X, Y, Z, T ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 4.69/5.12 }.
% 4.69/5.12 (21539) {G0,W9,D2,L2,V4,M2} { ! alpha24( X, Y, Z, T ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 4.69/5.12 (21540) {G0,W14,D3,L3,V4,M3} { ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), Z ), ! c_Orderings_Oord__class_Oless( X
% 4.69/5.12 , T, Y ), alpha24( X, Y, Z, T ) }.
% 4.69/5.12 (21541) {G0,W10,D3,L2,V2,M2} { ! class_Rings_Olinordered__ring( X ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y, Y
% 4.69/5.12 ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 4.69/5.12 (21542) {G0,W18,D3,L4,V4,M4} { ! class_Rings_Olinordered__semidom( X ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 4.69/5.12 ! c_Orderings_Oord__class_Oless( X, T, Z ), c_Orderings_Oord__class_Oless
% 4.69/5.12 ( X, T, c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 4.69/5.12 (21543) {G0,W8,D3,L2,V1,M2} { ! class_Rings_Olinordered__semidom( X ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.12 c_Groups_Oone__class_Oone( X ) ) }.
% 4.69/5.12 (21544) {G0,W8,D3,L2,V1,M2} { ! class_Rings_Olinordered__semidom( X ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ) ) }.
% 4.69/5.12 (21545) {G0,W8,D3,L2,V1,M2} { ! class_Rings_Olinordered__semidom( X ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ) ) }.
% 4.69/5.12 (21546) {G0,W8,D3,L2,V1,M2} { ! class_Rings_Olinordered__semidom( X ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.12 c_Groups_Oone__class_Oone( X ) ) }.
% 4.69/5.12 (21547) {G0,W13,D3,L3,V2,M3} { ! class_Rings_Olinordered__idom( X ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ouminus__class_Ouminus( X,
% 4.69/5.12 Y ) ), c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero(
% 4.69/5.12 X ) ) }.
% 4.69/5.12 (21548) {G0,W13,D3,L3,V2,M3} { ! class_Rings_Olinordered__idom( X ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ouminus__class_Ouminus( X,
% 4.69/5.12 Y ) ) }.
% 4.69/5.12 (21549) {G0,W20,D3,L4,V3,M4} { ! class_Rings_Olinordered__semidom( X ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), Y ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), Z ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 4.69/5.12 (21550) {G0,W10,D4,L2,V2,M2} { ! class_Rings_Olinordered__semidom( X ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Oplus__class_Oplus( X, Y,
% 4.69/5.12 c_Groups_Oone__class_Oone( X ) ) ) }.
% 4.69/5.12 (21551) {G0,W41,D6,L2,V5,M2} { ! class_RealVector_Oreal__normed__algebra(
% 4.69/5.12 X ), c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X,
% 4.69/5.12 U, T ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 4.69/5.12 c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, U, Z
% 4.69/5.12 ), c_Groups_Ominus__class_Ominus( X, T, Y ) ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, U, Z
% 4.69/5.12 ), Y ) ), c_Groups_Otimes__class_Otimes( X, Z,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( X, T, Y ) ) ) }.
% 4.69/5.12 (21552) {G0,W29,D5,L3,V6,M3} { ! class_Rings_Oring( X ), !
% 4.69/5.12 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U )
% 4.69/5.12 , T ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 4.69/5.12 , Z, U ), Y ), T = c_Groups_Oplus__class_Oplus( X,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, Z, W
% 4.69/5.12 ), U ), Y ) }.
% 4.69/5.12 (21553) {G0,W29,D5,L3,V6,M3} { ! class_Rings_Oring( X ), ! T =
% 4.69/5.12 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ),
% 4.69/5.12 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U )
% 4.69/5.12 , T ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 4.69/5.12 , Z, U ), Y ) }.
% 4.69/5.12 (21554) {G0,W29,D5,L3,V6,M3} { ! class_Rings_Oring( X ), !
% 4.69/5.12 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U )
% 4.69/5.12 , T ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 4.69/5.12 , Z, U ), Y ), c_Groups_Oplus__class_Oplus( X,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, W, Z
% 4.69/5.12 ), U ), T ) = Y }.
% 4.69/5.12 (21555) {G0,W29,D5,L3,V6,M3} { ! class_Rings_Oring( X ), !
% 4.69/5.12 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 4.69/5.12 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ) = Y,
% 4.69/5.12 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U )
% 4.69/5.12 , T ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 4.69/5.12 , Z, U ), Y ) }.
% 4.69/5.12 (21556) {G0,W18,D3,L4,V4,M4} { ! class_Rings_Odivision__ring( X ), Y =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), ! T = c_Rings_Oinverse__class_Odivide(
% 4.69/5.12 X, Z, Y ), c_Groups_Otimes__class_Otimes( X, T, Y ) = Z }.
% 4.69/5.12 (21557) {G0,W18,D3,L4,V4,M4} { ! class_Rings_Odivision__ring( X ), Y =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), ! c_Groups_Otimes__class_Otimes( X, T,
% 4.69/5.12 Y ) = Z, T = c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 4.69/5.12 (21558) {G0,W18,D3,L4,V4,M4} { ! class_Rings_Odivision__ring( X ), Y =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), ! c_Rings_Oinverse__class_Odivide( X, T
% 4.69/5.12 , Y ) = Z, T = c_Groups_Otimes__class_Otimes( X, Z, Y ) }.
% 4.69/5.12 (21559) {G0,W18,D3,L4,V4,M4} { ! class_Rings_Odivision__ring( X ), Y =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), ! T = c_Groups_Otimes__class_Otimes( X
% 4.69/5.12 , Z, Y ), c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z }.
% 4.69/5.12 (21560) {G0,W18,D3,L4,V4,M4} { ! class_Rings_Odivision__ring( X ), Y =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), ! T = c_Groups_Otimes__class_Otimes( X
% 4.69/5.12 , Z, Y ), c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z }.
% 4.69/5.12 (21561) {G0,W18,D3,L4,V4,M4} { ! class_Rings_Odivision__ring( X ), Y =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), ! c_Groups_Otimes__class_Otimes( X, T,
% 4.69/5.12 Y ) = Z, T = c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 4.69/5.12 (21562) {G0,W19,D4,L4,V2,M4} { ! class_Rings_Oring__1__no__zero__divisors
% 4.69/5.12 ( X ), ! c_Groups_Otimes__class_Otimes( X, Y, Y ) =
% 4.69/5.12 c_Groups_Oone__class_Oone( X ), Y = c_Groups_Oone__class_Oone( X ), Y =
% 4.69/5.12 c_Groups_Ouminus__class_Ouminus( X, c_Groups_Oone__class_Oone( X ) ) }.
% 4.69/5.12 (21563) {G0,W13,D3,L3,V2,M3} { ! class_Rings_Oring__1__no__zero__divisors
% 4.69/5.12 ( X ), ! Y = c_Groups_Oone__class_Oone( X ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, Y, Y ) = c_Groups_Oone__class_Oone( X )
% 4.69/5.12 }.
% 4.69/5.12 (21564) {G0,W15,D4,L3,V2,M3} { ! class_Rings_Oring__1__no__zero__divisors
% 4.69/5.12 ( X ), ! Y = c_Groups_Ouminus__class_Ouminus( X,
% 4.69/5.12 c_Groups_Oone__class_Oone( X ) ), c_Groups_Otimes__class_Otimes( X, Y, Y
% 4.69/5.12 ) = c_Groups_Oone__class_Oone( X ) }.
% 4.69/5.12 (21565) {G0,W16,D3,L4,V3,M4} { ! class_Rings_Odivision__ring( X ), Y =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), ! c_Rings_Oinverse__class_Odivide( X, Z
% 4.69/5.12 , Y ) = c_Groups_Oone__class_Oone( X ), Z = Y }.
% 4.69/5.12 (21566) {G0,W16,D3,L4,V3,M4} { ! class_Rings_Odivision__ring( X ), Y =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), ! Z = Y,
% 4.69/5.12 c_Rings_Oinverse__class_Odivide( X, Z, Y ) = c_Groups_Oone__class_Oone( X
% 4.69/5.12 ) }.
% 4.69/5.12 (21567) {G0,W13,D3,L3,V2,M3} { ! class_Rings_Odivision__ring( X ), Y =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 4.69/5.12 Y ) = c_Groups_Oone__class_Oone( X ) }.
% 4.69/5.12 (21568) {G0,W13,D3,L3,V2,M3} { !
% 4.69/5.12 class_Rings_Odivision__ring__inverse__zero( X ), ! Y =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 4.69/5.12 Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.12 (21569) {G0,W13,D3,L3,V2,M3} { !
% 4.69/5.12 class_Rings_Odivision__ring__inverse__zero( X ), Y =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 4.69/5.12 Y ) = c_Groups_Oone__class_Oone( X ) }.
% 4.69/5.12 (21570) {G0,W28,D4,L4,V5,M4} { ! class_Rings_Olinordered__idom( X ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, c_Groups_Oabs__class_Oabs( X, Z ), Y )
% 4.69/5.12 , ! c_Orderings_Oord__class_Oless( X, c_Groups_Oabs__class_Oabs( X, U ),
% 4.69/5.12 T ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X,
% 4.69/5.12 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, U ) ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 4.69/5.12 (21571) {G0,W19,D4,L3,V3,M3} { ! class_Rings_Odivision__ring( X ), Y =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ouminus__class_Ouminus( X,
% 4.69/5.12 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 4.69/5.12 c_Rings_Oinverse__class_Odivide( X, Z, c_Groups_Ouminus__class_Ouminus( X
% 4.69/5.12 , Y ) ) }.
% 4.69/5.12 (21572) {G0,W19,D4,L3,V3,M3} { ! class_Rings_Odivision__ring( X ), Y =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 4.69/5.12 c_Groups_Ouminus__class_Ouminus( X, Z ), c_Groups_Ouminus__class_Ouminus
% 4.69/5.12 ( X, Y ) ) = c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 4.69/5.12 (21573) {G0,W25,D4,L4,V3,M4} { ! class_Rings_Odivision__ring( X ), Y =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.12 c_Rings_Oinverse__class_Oinverse( X, c_Groups_Otimes__class_Otimes( X, Y
% 4.69/5.12 , Z ) ) = c_Groups_Otimes__class_Otimes( X,
% 4.69/5.12 c_Rings_Oinverse__class_Oinverse( X, Z ),
% 4.69/5.12 c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 4.69/5.12 (21574) {G0,W9,D4,L2,V1,M2} { ! class_RealVector_Oreal__normed__vector( X
% 4.69/5.12 ), c_RealVector_Onorm__class_Onorm( X, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.12 ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 4.69/5.12 (21575) {G0,W12,D3,L3,V2,M3} { ! class_RealVector_Oreal__normed__vector( X
% 4.69/5.12 ), ! c_RealVector_Onorm__class_Onorm( X, Y ) =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.12 (21576) {G0,W12,D3,L3,V2,M3} { ! class_RealVector_Oreal__normed__vector( X
% 4.69/5.12 ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.12 c_RealVector_Onorm__class_Onorm( X, Y ) = c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_RealDef_Oreal ) }.
% 4.69/5.12 (21577) {G0,W12,D3,L3,V3,M3} { ! class_Rings_Olinordered__idom( X ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, c_Groups_Oabs__class_Oabs( X, Z ), Y )
% 4.69/5.12 , c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 4.69/5.12 (21578) {G0,W14,D3,L3,V3,M3} { ! class_Rings_Olinordered__idom( X ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, c_Groups_Oabs__class_Oabs( X, Z ), Y )
% 4.69/5.12 , c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Z
% 4.69/5.12 ), Y ) }.
% 4.69/5.12 (21579) {G0,W18,D3,L4,V3,M4} { ! class_Rings_Olinordered__idom( X ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 4.69/5.12 ( X, c_Groups_Ouminus__class_Ouminus( X, Z ), Y ),
% 4.69/5.12 c_Orderings_Oord__class_Oless( X, c_Groups_Oabs__class_Oabs( X, Z ), Y )
% 4.69/5.12 }.
% 4.69/5.12 (21580) {G0,W17,D4,L3,V2,M3} { ! class_Rings_Odivision__ring( X ), Y =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Oinverse( X,
% 4.69/5.12 c_Groups_Ouminus__class_Ouminus( X, Y ) ) =
% 4.69/5.12 c_Groups_Ouminus__class_Ouminus( X, c_Rings_Oinverse__class_Oinverse( X,
% 4.69/5.12 Y ) ) }.
% 4.69/5.12 (21581) {G0,W14,D3,L3,V3,M3} { ! class_Rings_Odivision__ring( X ), !
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, Z, Y ) = c_Groups_Oone__class_Oone( X )
% 4.69/5.12 , c_Rings_Oinverse__class_Oinverse( X, Z ) = Y }.
% 4.69/5.12 (21582) {G0,W17,D4,L2,V3,M2} { !
% 4.69/5.12 class_RealVector_Oreal__normed__div__algebra( X ),
% 4.69/5.12 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Z,
% 4.69/5.12 Y ) ) = c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 4.69/5.12 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 4.69/5.12 ( X, Y ) ) }.
% 4.69/5.12 (21583) {G0,W9,D3,L2,V2,M2} { ! class_RealVector_Oreal__normed__vector( X
% 4.69/5.12 ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 4.69/5.12 c_RealVector_Onorm__class_Onorm( X, Y ) ) }.
% 4.69/5.12 (21584) {G0,W9,D3,L2,V2,M2} { ! class_RealVector_Oreal__normed__vector( X
% 4.69/5.12 ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.12 c_RealVector_Onorm__class_Onorm( X, Y ), c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_RealDef_Oreal ) ) }.
% 4.69/5.12 (21585) {G0,W13,D4,L2,V3,M2} { ! class_Rings_Odivision__ring( X ),
% 4.69/5.12 c_Rings_Oinverse__class_Odivide( X, Z, Y ) =
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, Z, c_Rings_Oinverse__class_Oinverse( X
% 4.69/5.12 , Y ) ) }.
% 4.69/5.12 (21586) {G0,W12,D3,L2,V1,M2} { c_Orderings_Oord__class_Oless(
% 4.69/5.12 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ), X =
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 4.69/5.12 (21587) {G0,W12,D3,L2,V1,M2} { ! X = c_Groups_Ozero__class_Ozero(
% 4.69/5.12 tc_RealDef_Oreal ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 4.69/5.12 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) }.
% 4.69/5.12 (21588) {G0,W11,D4,L2,V2,M2} { ! class_Rings_Odivision__ring( X ),
% 4.69/5.12 c_Rings_Oinverse__class_Oinverse( X, Y ) =
% 4.69/5.12 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X ), Y )
% 4.69/5.12 }.
% 4.69/5.12 (21589) {G0,W9,D4,L2,V1,M2} { ! class_RealVector_Oreal__normed__algebra__1
% 4.69/5.12 ( X ), c_RealVector_Onorm__class_Onorm( X, c_Groups_Oone__class_Oone( X )
% 4.69/5.12 ) = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 4.69/5.12 (21590) {G0,W6,D3,L1,V0,M1} { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 4.69/5.12 c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 4.69/5.12 (21591) {G0,W18,D3,L3,V2,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oplus__class_Oplus(
% 4.69/5.12 tc_Int_Oint, X, Y ) ) }.
% 4.69/5.12 (21592) {G0,W18,D3,L3,V2,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.12 tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 4.69/5.12 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Otimes__class_Otimes
% 4.69/5.12 ( tc_Int_Oint, X, Y ) ) }.
% 4.69/5.12 (21593) {G0,W19,D4,L3,V3,M3} { ! class_Fields_Ofield__inverse__zero( X ),
% 4.69/5.12 ! class_RealVector_Oreal__normed__field( X ),
% 4.69/5.12 c_RealVector_Onorm__class_Onorm( X, c_Rings_Oinverse__class_Odivide( X, Z
% 4.69/5.12 , Y ) ) = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 4.69/5.12 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 4.69/5.12 ( X, Y ) ) }.
% 4.69/5.12 (21594) {G0,W15,D4,L3,V2,M3} { !
% 4.69/5.12 class_RealVector_Oreal__normed__div__algebra( X ), !
% 4.69/5.12 class_Rings_Odivision__ring__inverse__zero( X ),
% 4.69/5.12 c_RealVector_Onorm__class_Onorm( X, c_Rings_Oinverse__class_Oinverse( X,
% 4.69/5.12 Y ) ) = c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal,
% 4.69/5.12 c_RealVector_Onorm__class_Onorm( X, Y ) ) }.
% 4.69/5.12 (21595) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__ring__strict( X
% 4.69/5.12 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.12 , Y ), ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, Y, T ), c_Groups_Otimes__class_Otimes(
% 4.69/5.12 X, Y, Z ) ), c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 4.69/5.12 (21596) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__ring__strict( X
% 4.69/5.12 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.12 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 4.69/5.12 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Y
% 4.69/5.12 , T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 4.69/5.12 (21597) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__ring__strict( X
% 4.69/5.12 ), ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X
% 4.69/5.12 ) ), ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.12 c_Groups_Otimes__class_Otimes( X, Y, T ), c_Groups_Otimes__class_Otimes(
% 4.69/5.12 X, Y, Z ) ), c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 4.69/5.13 (21598) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__ring__strict( X
% 4.69/5.13 ), ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X
% 4.69/5.13 ) ), ! c_Orderings_Oord__class_Oless__eq( X, Z, T ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Y
% 4.69/5.13 , T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 4.69/5.13 (21599) {G0,W30,D3,L6,V5,M6} { ! class_Rings_Olinordered__semiring__strict
% 4.69/5.13 ( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, U, T ), ! c_Orderings_Oord__class_Oless
% 4.69/5.13 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 4.69/5.13 ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z
% 4.69/5.13 , U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 4.69/5.13 (21600) {G0,W30,D3,L6,V5,M6} { ! class_Rings_Olinordered__semiring__strict
% 4.69/5.13 ( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, U, T ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 4.69/5.13 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 4.69/5.13 X ), U ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes
% 4.69/5.13 ( X, Z, U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 4.69/5.13 (21601) {G0,W30,D3,L6,V5,M6} { ! class_Rings_Olinordered__semiring__strict
% 4.69/5.13 ( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 4.69/5.13 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.13 , U ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X
% 4.69/5.13 , Z, U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 4.69/5.13 (21602) {G0,W30,D3,L6,V5,M6} { ! class_Rings_Olinordered__semiring__strict
% 4.69/5.13 ( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, U, T ), ! c_Orderings_Oord__class_Oless
% 4.69/5.13 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 4.69/5.13 ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z
% 4.69/5.13 , U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 4.69/5.13 (21603) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__semiring( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 4.69/5.13 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 4.69/5.13 ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 4.69/5.13 (21604) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__semiring__strict
% 4.69/5.13 ( X ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes
% 4.69/5.13 ( X, T, Z ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 4.69/5.13 ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 4.69/5.13 (21605) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__semiring( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 4.69/5.13 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 4.69/5.13 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 4.69/5.13 (21606) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__semiring__strict
% 4.69/5.13 ( X ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes
% 4.69/5.13 ( X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 4.69/5.13 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 4.69/5.13 (21607) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__semiring__strict
% 4.69/5.13 ( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Groups_Otimes__class_Otimes(
% 4.69/5.13 X, Y, Z ) ), ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless__eq
% 4.69/5.13 ( X, T, Y ) }.
% 4.69/5.13 (21608) {G0,W21,D3,L4,V4,M4} { ! class_Rings_Olinordered__semiring__strict
% 4.69/5.13 ( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Groups_Otimes__class_Otimes(
% 4.69/5.13 X, T, Y ) ), ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless__eq
% 4.69/5.13 ( X, Z, Y ) }.
% 4.69/5.13 (21609) {G0,W24,D3,L5,V3,M5} { ! class_Rings_Olinordered__idom( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 4.69/5.13 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 4.69/5.13 X ), Z ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 4.69/5.13 c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, Y, Z ), Y ) }.
% 4.69/5.13 (21610) {G0,W24,D3,L5,V3,M5} { ! class_Rings_Olinordered__idom( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 4.69/5.13 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 4.69/5.13 X ), Z ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 4.69/5.13 c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, Z, Y ), Y ) }.
% 4.69/5.13 (21611) {G0,W12,D4,L2,V1,M2} { ! class_Rings_Olinordered__semidom( X ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.13 c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 4.69/5.13 c_Groups_Oone__class_Oone( X ) ) ) }.
% 4.69/5.13 (21612) {G0,W31,D5,L3,V6,M3} { ! class_Rings_Oordered__ring( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 4.69/5.13 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 4.69/5.13 , Y ) ), c_Orderings_Oord__class_Oless__eq( X, T,
% 4.69/5.13 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 4.69/5.13 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ) }.
% 4.69/5.13 (21613) {G0,W31,D5,L3,V6,M3} { ! class_Rings_Oordered__ring( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oplus__class_Oplus( X,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, Z, W
% 4.69/5.13 ), U ), Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U )
% 4.69/5.13 , T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 4.69/5.13 Z, U ), Y ) ) }.
% 4.69/5.13 (21614) {G0,W31,D5,L3,V6,M3} { ! class_Rings_Oordered__ring( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 4.69/5.13 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 4.69/5.13 , Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 4.69/5.13 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ) }.
% 4.69/5.13 (21615) {G0,W31,D5,L3,V6,M3} { ! class_Rings_Oordered__ring( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, W, Z
% 4.69/5.13 ), U ), T ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U )
% 4.69/5.13 , T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 4.69/5.13 Z, U ), Y ) ) }.
% 4.69/5.13 (21616) {G0,W31,D5,L3,V6,M3} { ! class_Rings_Oordered__ring( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 4.69/5.13 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 4.69/5.13 , Y ) ), c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus
% 4.69/5.13 ( X, c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X,
% 4.69/5.13 Z, W ), U ), Y ) ) }.
% 4.69/5.13 (21617) {G0,W31,D5,L3,V6,M3} { ! class_Rings_Oordered__ring( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, Z, W
% 4.69/5.13 ), U ), Y ) ), c_Orderings_Oord__class_Oless( X,
% 4.69/5.13 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U )
% 4.69/5.13 , T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 4.69/5.13 Z, U ), Y ) ) }.
% 4.69/5.13 (21618) {G0,W31,D5,L3,V6,M3} { ! class_Rings_Oordered__ring( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 4.69/5.13 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 4.69/5.13 , Y ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X
% 4.69/5.13 , c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, W,
% 4.69/5.13 Z ), U ), T ), Y ) }.
% 4.69/5.13 (21619) {G0,W31,D5,L3,V6,M3} { ! class_Rings_Oordered__ring( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, W, Z
% 4.69/5.13 ), U ), T ), Y ), c_Orderings_Oord__class_Oless( X,
% 4.69/5.13 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U )
% 4.69/5.13 , T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 4.69/5.13 Z, U ), Y ) ) }.
% 4.69/5.13 (21620) {G0,W20,D4,L3,V3,M3} { ! class_Rings_Olinordered__idom( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 4.69/5.13 ), c_Groups_Otimes__class_Otimes( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 4.69/5.13 Y ) = c_Groups_Oabs__class_Oabs( X, c_Groups_Otimes__class_Otimes( X, Z,
% 4.69/5.13 Y ) ) }.
% 4.69/5.13 (21621) {G0,W25,D4,L4,V3,M4} { ! class_Rings_Oordered__ring__abs( X ),
% 4.69/5.13 alpha103( X, Z ), ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), Y ), c_Groups_Oabs__class_Oabs( X,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 4.69/5.13 c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 4.69/5.13 (21622) {G0,W25,D4,L4,V3,M4} { ! class_Rings_Oordered__ring__abs( X ),
% 4.69/5.13 alpha103( X, Z ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ) ), c_Groups_Oabs__class_Oabs( X,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 4.69/5.13 c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 4.69/5.13 (21623) {G0,W8,D3,L2,V2,M2} { ! alpha103( X, Y ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 4.69/5.13 ) }.
% 4.69/5.13 (21624) {G0,W8,D3,L2,V2,M2} { ! alpha103( X, Y ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.13 ) }.
% 4.69/5.13 (21625) {G0,W13,D3,L3,V2,M3} { c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless__eq
% 4.69/5.13 ( X, Y, c_Groups_Ozero__class_Ozero( X ) ), alpha103( X, Y ) }.
% 4.69/5.13 (21626) {G0,W33,D5,L4,V3,M4} { ! class_Rings_Odivision__ring( X ), Y =
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.13 c_Groups_Oplus__class_Oplus( X, c_Rings_Oinverse__class_Oinverse( X, Y )
% 4.69/5.13 , c_Rings_Oinverse__class_Oinverse( X, Z ) ) =
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X,
% 4.69/5.13 c_Rings_Oinverse__class_Oinverse( X, Y ), c_Groups_Oplus__class_Oplus( X
% 4.69/5.13 , Y, Z ) ), c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 4.69/5.13 (21627) {G0,W33,D5,L4,V3,M4} { ! class_Rings_Odivision__ring( X ), Y =
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.13 c_Groups_Ominus__class_Ominus( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 4.69/5.13 ), c_Rings_Oinverse__class_Oinverse( X, Z ) ) =
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X,
% 4.69/5.13 c_Rings_Oinverse__class_Oinverse( X, Y ), c_Groups_Ominus__class_Ominus(
% 4.69/5.13 X, Z, Y ) ), c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 4.69/5.13 (21628) {G0,W15,D4,L3,V2,M3} { ! class_Rings_Odivision__ring( X ), Y =
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 4.69/5.13 c_Rings_Oinverse__class_Oinverse( X, Y ) ) = c_Groups_Oone__class_Oone( X
% 4.69/5.13 ) }.
% 4.69/5.13 (21629) {G0,W15,D4,L3,V2,M3} { ! class_Rings_Odivision__ring( X ), Y =
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X,
% 4.69/5.13 c_Rings_Oinverse__class_Oinverse( X, Y ), Y ) = c_Groups_Oone__class_Oone
% 4.69/5.13 ( X ) }.
% 4.69/5.13 (21630) {G0,W13,D3,L3,V2,M3} { ! class_RealVector_Oreal__normed__vector( X
% 4.69/5.13 ), ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.69/5.13 c_RealVector_Onorm__class_Onorm( X, Y ), c_Groups_Ozero__class_Ozero(
% 4.69/5.13 tc_RealDef_Oreal ) ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.13 (21631) {G0,W13,D3,L3,V2,M3} { ! class_RealVector_Oreal__normed__vector( X
% 4.69/5.13 ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.69/5.13 c_RealVector_Onorm__class_Onorm( X, Y ), c_Groups_Ozero__class_Ozero(
% 4.69/5.13 tc_RealDef_Oreal ) ) }.
% 4.69/5.13 (21632) {G0,W13,D3,L3,V2,M3} { ! class_RealVector_Oreal__normed__vector( X
% 4.69/5.13 ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 4.69/5.13 c_RealVector_Onorm__class_Onorm( X, Y ) ), ! Y =
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.13 (21633) {G0,W13,D3,L3,V2,M3} { ! class_RealVector_Oreal__normed__vector( X
% 4.69/5.13 ), Y = c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless(
% 4.69/5.13 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 4.69/5.13 c_RealVector_Onorm__class_Onorm( X, Y ) ) }.
% 4.69/5.13 (21634) {G0,W15,D4,L3,V2,M3} { ! class_Rings_Odivision__ring( X ), Y =
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Oinverse( X, Y
% 4.69/5.13 ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X ),
% 4.69/5.13 Y ) }.
% 4.69/5.13 (21635) {G0,W18,D4,L2,V3,M2} { ! class_RealVector_Oreal__normed__algebra(
% 4.69/5.13 X ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.69/5.13 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Z,
% 4.69/5.13 Y ) ), c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 4.69/5.13 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 4.69/5.13 ( X, Y ) ) ) }.
% 4.69/5.13 (21636) {G0,W26,D4,L4,V5,M4} { ! class_RealVector_Oreal__normed__algebra(
% 4.69/5.13 X ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.13 c_RealVector_Onorm__class_Onorm( X, Z ), Y ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.13 c_RealVector_Onorm__class_Onorm( X, U ), T ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.13 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Z,
% 4.69/5.13 U ) ), c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, T ) ) }.
% 4.69/5.13 (21637) {G0,W21,D4,L3,V3,M3} { ! class_RealVector_Oreal__normed__field( X
% 4.69/5.13 ), Y = c_Groups_Ozero__class_Ozero( X ), c_RealVector_Onorm__class_Onorm
% 4.69/5.13 ( X, c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 4.69/5.13 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 4.69/5.13 ( X, Y ) ) }.
% 4.69/5.13 (21638) {G0,W18,D4,L2,V3,M2} { ! class_RealVector_Oreal__normed__vector( X
% 4.69/5.13 ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.69/5.13 c_RealVector_Onorm__class_Onorm( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 4.69/5.13 ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 4.69/5.13 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 4.69/5.13 ( X, Y ) ) ) }.
% 4.69/5.13 (21639) {G0,W26,D4,L4,V5,M4} { ! class_RealVector_Oreal__normed__vector( X
% 4.69/5.13 ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.13 c_RealVector_Onorm__class_Onorm( X, Z ), Y ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.13 c_RealVector_Onorm__class_Onorm( X, U ), T ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.13 c_RealVector_Onorm__class_Onorm( X, c_Groups_Oplus__class_Oplus( X, Z, U
% 4.69/5.13 ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, T ) ) }.
% 4.69/5.13 (21640) {G0,W18,D4,L2,V3,M2} { ! class_RealVector_Oreal__normed__vector( X
% 4.69/5.13 ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.69/5.13 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X, Z,
% 4.69/5.13 Y ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 4.69/5.13 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 4.69/5.13 ( X, Y ) ) ) }.
% 4.69/5.13 (21641) {G0,W18,D4,L2,V3,M2} { ! class_RealVector_Oreal__normed__vector( X
% 4.69/5.13 ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.69/5.13 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.69/5.13 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 4.69/5.13 ( X, Y ) ), c_RealVector_Onorm__class_Onorm( X,
% 4.69/5.13 c_Groups_Oplus__class_Oplus( X, Z, Y ) ) ) }.
% 4.69/5.13 (21642) {G0,W18,D4,L2,V3,M2} { ! class_RealVector_Oreal__normed__vector( X
% 4.69/5.13 ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.69/5.13 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.69/5.13 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 4.69/5.13 ( X, Y ) ), c_RealVector_Onorm__class_Onorm( X,
% 4.69/5.13 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) ) }.
% 4.69/5.13 (21643) {G0,W15,D4,L3,V2,M3} { ! class_Int_Onumber__ring( X ), !
% 4.69/5.13 class_RealVector_Oreal__normed__algebra__1( X ),
% 4.69/5.13 c_RealVector_Onorm__class_Onorm( X, c_Int_Onumber__class_Onumber__of( X,
% 4.69/5.13 Y ) ) = c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.69/5.13 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, Y ) ) }.
% 4.69/5.13 (21644) {G0,W17,D4,L3,V2,M3} { !
% 4.69/5.13 class_RealVector_Oreal__normed__div__algebra( X ), Y =
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), c_RealVector_Onorm__class_Onorm( X,
% 4.69/5.13 c_Rings_Oinverse__class_Oinverse( X, Y ) ) =
% 4.69/5.13 c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal,
% 4.69/5.13 c_RealVector_Onorm__class_Onorm( X, Y ) ) }.
% 4.69/5.13 (21645) {G0,W40,D4,L7,V6,M7} { ! class_Rings_Olinordered__semiring__1( X )
% 4.69/5.13 , ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, T, Y ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 4.69/5.13 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 4.69/5.13 X ), W ), ! c_Groups_Oplus__class_Oplus( X, U, W ) =
% 4.69/5.13 c_Groups_Oone__class_Oone( X ), c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Z )
% 4.69/5.13 , c_Groups_Otimes__class_Otimes( X, W, T ) ), Y ) }.
% 4.69/5.13 (21646) {G0,W30,D5,L2,V5,M2} { ! class_RealVector_Oreal__normed__vector( X
% 4.69/5.13 ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.69/5.13 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X,
% 4.69/5.13 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 4.69/5.13 , Y ) ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 4.69/5.13 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X, U,
% 4.69/5.13 Z ) ), c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus
% 4.69/5.13 ( X, T, Y ) ) ) ) }.
% 4.69/5.13 (21647) {G0,W9,D5,L1,V0,M1} { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.13 tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 4.69/5.13 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit1( c_Int_OBit1(
% 4.69/5.13 c_Int_OPls ) ) ) ) }.
% 4.69/5.13 (21648) {G0,W25,D4,L4,V3,M4} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.13 tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 4.69/5.13 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 4.69/5.13 tc_Int_Oint, Z, Y ), X ) ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint
% 4.69/5.13 , X, Z ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Z ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ) }.
% 4.69/5.13 (21649) {G0,W26,D4,L4,V3,M4} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.13 tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ), X ),
% 4.69/5.13 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 4.69/5.13 tc_Int_Oint ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 4.69/5.13 (21650) {G0,W33,D4,L5,V5,M5} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.13 tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( tc_Int_Oint, U, T ), Z ),
% 4.69/5.13 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 4.69/5.13 tc_Int_Oint, U, Y ), X ) ), ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.13 tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Z ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, U ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, U ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, T, Y ) }.
% 4.69/5.13 (21651) {G0,W48,D4,L7,V6,M7} { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint
% 4.69/5.13 , c_Groups_Otimes__class_Otimes( tc_Int_Oint, W, U ), T ) =
% 4.69/5.13 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 4.69/5.13 tc_Int_Oint, Z, Y ), X ), ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.13 tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 4.69/5.13 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 4.69/5.13 tc_Int_Oint, Z, Y ), X ) ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint
% 4.69/5.13 , X, Z ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), T ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 4.69/5.13 tc_Int_Oint ), Z ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z,
% 4.69/5.13 W ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, U, Y ) }.
% 4.69/5.13 (21652) {G0,W33,D4,L5,V5,M5} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.13 tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( tc_Int_Oint, U, T ), Z ),
% 4.69/5.13 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 4.69/5.13 tc_Int_Oint, U, Y ), X ) ), ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.13 tc_Int_Oint, X, c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( tc_Int_Oint, U, X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( tc_Int_Oint, U, Z ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, T ) }.
% 4.69/5.13 (21653) {G0,W48,D4,L7,V6,M7} { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint
% 4.69/5.13 , c_Groups_Otimes__class_Otimes( tc_Int_Oint, W, U ), T ) =
% 4.69/5.13 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 4.69/5.13 tc_Int_Oint, Z, Y ), X ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 4.69/5.13 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 4.69/5.13 tc_Int_Oint, Z, Y ), X ), c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( tc_Int_Oint, T, W ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 4.69/5.13 tc_Int_Oint ), Z ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z,
% 4.69/5.13 W ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, U ) }.
% 4.69/5.13 (21654) {G0,W33,D5,L3,V5,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.13 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 4.69/5.13 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 4.69/5.13 tc_Nat_Onat, Y, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ) ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T,
% 4.69/5.13 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 4.69/5.13 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 4.69/5.13 ) }.
% 4.69/5.13 (21655) {G0,W33,D5,L3,V5,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.13 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, T,
% 4.69/5.13 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 4.69/5.13 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 4.69/5.13 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 4.69/5.13 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 4.69/5.13 tc_Nat_Onat, Y, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ) ) }.
% 4.69/5.13 (21656) {G0,W33,D5,L3,V5,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.13 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 4.69/5.13 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 4.69/5.13 tc_Nat_Onat, X, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), Z ) ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 4.69/5.13 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 4.69/5.13 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T ), Z ) }.
% 4.69/5.13 (21657) {G0,W33,D5,L3,V5,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.13 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 4.69/5.13 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 4.69/5.13 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 4.69/5.13 , Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 4.69/5.13 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 4.69/5.13 tc_Nat_Onat, X, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), Z ) ) }.
% 4.69/5.13 (21658) {G0,W5,D3,L1,V0,M1} { c_Orderings_Oord__class_Oless(
% 4.69/5.13 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol27
% 4.69/5.13 ) }.
% 4.69/5.13 (21659) {G0,W53,D7,L3,V1,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.13 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 4.69/5.13 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.69/5.13 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ) ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.13 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.69/5.13 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ),
% 4.69/5.13 skol27 ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 4.69/5.13 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.69/5.13 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 4.69/5.13 tc_Complex_Ocomplex, v_p, X ), c_Polynomial_Opoly( tc_Complex_Ocomplex,
% 4.69/5.13 v_p, v_z____ ) ) ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 4.69/5.13 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.69/5.13 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.69/5.13 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.69/5.13 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 4.69/5.13 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Int_Onumber__class_Onumber__of(
% 4.69/5.13 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 4.69/5.13 (21660) {G0,W16,D3,L3,V3,M3} { ! c_Groups_Otimes__class_Otimes(
% 4.69/5.13 tc_Nat_Onat, Z, Y ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X )
% 4.69/5.13 , Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y = X }.
% 4.69/5.13 (21661) {G0,W13,D3,L2,V3,M2} { ! Z = c_Groups_Ozero__class_Ozero(
% 4.69/5.13 tc_Nat_Onat ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 4.69/5.13 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 4.69/5.13 (21662) {G0,W12,D3,L2,V3,M2} { ! Y = X, c_Groups_Otimes__class_Otimes(
% 4.69/5.13 tc_Nat_Onat, Z, Y ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X )
% 4.69/5.13 }.
% 4.69/5.13 (21663) {G0,W24,D5,L1,V4,M1} { c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, T, Z ),
% 4.69/5.13 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 4.69/5.13 tc_Nat_Onat, Y, Z ), X ) ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 4.69/5.13 tc_Nat_Onat, T, Y ), Z ), X ) }.
% 4.69/5.13 (21664) {G0,W17,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.13 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ), !
% 4.69/5.13 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ) =
% 4.69/5.13 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ), Z = Y }.
% 4.69/5.13 (21665) {G0,W17,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.13 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ), ! Z = Y,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ) =
% 4.69/5.13 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 4.69/5.13 (21666) {G0,W19,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.13 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 4.69/5.13 ( tc_Nat_Onat, X, Z ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y )
% 4.69/5.13 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ) }.
% 4.69/5.13 (21667) {G0,W19,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.13 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 4.69/5.13 ( tc_Nat_Onat, X, Z ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y )
% 4.69/5.13 ) }.
% 4.69/5.13 (21668) {G0,W19,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.13 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 4.69/5.13 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ) }.
% 4.69/5.13 (21669) {G0,W19,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless(
% 4.69/5.13 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 4.69/5.13 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 4.69/5.13 (21670) {G0,W33,D5,L3,V5,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.13 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 4.69/5.13 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 4.69/5.13 tc_Nat_Onat, X, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), Z ) ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 4.69/5.13 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 4.69/5.13 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 4.69/5.13 , Z ) }.
% 4.69/5.13 (21671) {G0,W33,D5,L3,V5,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.13 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 4.69/5.13 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 4.69/5.13 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 4.69/5.13 , Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 4.69/5.13 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 4.69/5.13 tc_Nat_Onat, X, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), Z ) ) }.
% 4.69/5.13 (21672) {G0,W34,D6,L2,V5,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.13 tc_Nat_Onat, Y, X ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 4.69/5.13 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 4.69/5.13 tc_Nat_Onat, X, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), Z ) ) =
% 4.69/5.13 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 4.69/5.13 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 4.69/5.13 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T ), Z ) }.
% 4.69/5.13 (21673) {G0,W31,D5,L3,V5,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.13 tc_Nat_Onat, Y, X ), ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), T ) =
% 4.69/5.13 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 4.69/5.13 tc_Nat_Onat, Y, U ), Z ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 4.69/5.13 ( tc_Nat_Onat, X, Y ), U ), T ) = Z }.
% 4.69/5.13 (21674) {G0,W31,D5,L3,V5,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.13 tc_Nat_Onat, Y, X ), ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 4.69/5.13 ( tc_Nat_Onat, X, Y ), U ), T ) = Z, c_Groups_Oplus__class_Oplus(
% 4.69/5.13 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), T ) =
% 4.69/5.13 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 4.69/5.13 tc_Nat_Onat, Y, U ), Z ) }.
% 4.69/5.13 (21675) {G0,W33,D5,L3,V5,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.13 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 4.69/5.13 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 4.69/5.13 tc_Nat_Onat, Y, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ) ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T,
% 4.69/5.13 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 4.69/5.13 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 4.69/5.13 ) }.
% 4.69/5.13 (21676) {G0,W33,D5,L3,V5,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.13 tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T
% 4.69/5.13 , c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 4.69/5.13 ( tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z
% 4.69/5.13 ) ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 4.69/5.13 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 4.69/5.13 tc_Nat_Onat, Y, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ) ) }.
% 4.69/5.13 (21677) {G0,W34,D6,L2,V5,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.13 tc_Nat_Onat, Y, X ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 4.69/5.13 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 4.69/5.13 tc_Nat_Onat, Y, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ) ) =
% 4.69/5.13 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, T,
% 4.69/5.13 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 4.69/5.13 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 4.69/5.13 ) }.
% 4.69/5.13 (21678) {G0,W31,D5,L3,V5,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.13 tc_Nat_Onat, Y, X ), ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), T ) =
% 4.69/5.13 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 4.69/5.13 tc_Nat_Onat, X, U ), Z ), T = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 4.69/5.13 ( tc_Nat_Onat, X, Y ), U ), Z ) }.
% 4.69/5.13 (21679) {G0,W31,D5,L3,V5,M3} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.13 tc_Nat_Onat, Y, X ), ! T = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 4.69/5.13 ( tc_Nat_Onat, X, Y ), U ), Z ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat
% 4.69/5.13 , c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), T ) =
% 4.69/5.13 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 4.69/5.13 tc_Nat_Onat, X, U ), Z ) }.
% 4.69/5.13 (21680) {G0,W19,D3,L4,V2,M4} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 4.69/5.13 ! c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Oone__class_Oone( X )
% 4.69/5.13 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X )
% 4.69/5.13 , c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 4.69/5.13 (21681) {G0,W19,D3,L4,V2,M4} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 4.69/5.13 ), c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless__eq(
% 4.69/5.13 X, Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless(
% 4.69/5.13 X, c_Groups_Oone__class_Oone( X ), Y ) }.
% 4.69/5.13 (21682) {G0,W14,D3,L3,V2,M3} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.13 ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X
% 4.69/5.13 , Y ), c_Groups_Oone__class_Oone( X ) ) }.
% 4.69/5.13 (21683) {G0,W14,D3,L3,V2,M3} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), Y ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 4.69/5.13 ), c_Groups_Oone__class_Oone( X ) ) }.
% 4.69/5.13 (21684) {G0,W23,D4,L2,V5,M2} { ! class_Fields_Ofield__inverse__zero( X ),
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, c_Rings_Oinverse__class_Odivide( X, U,
% 4.69/5.13 T ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, c_Groups_Otimes__class_Otimes( X, U,
% 4.69/5.13 Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 4.69/5.13 (21685) {G0,W9,D4,L2,V1,M2} { ! class_Fields_Ofield__inverse__zero( X ),
% 4.69/5.13 c_Rings_Oinverse__class_Oinverse( X, c_Groups_Ozero__class_Ozero( X ) ) =
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.13 (21686) {G0,W15,D4,L2,V3,M2} { ! class_Fields_Ofield__inverse__zero( X ),
% 4.69/5.13 c_Groups_Ouminus__class_Ouminus( X, c_Rings_Oinverse__class_Odivide( X, Z
% 4.69/5.13 , Y ) ) = c_Rings_Oinverse__class_Odivide( X, Z,
% 4.69/5.13 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 4.69/5.13 (21687) {G0,W15,D4,L2,V3,M2} { ! class_Fields_Ofield__inverse__zero( X ),
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X, Z
% 4.69/5.13 ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) =
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 4.69/5.13 (21688) {G0,W17,D4,L2,V3,M2} { ! class_Fields_Ofield__inverse__zero( X ),
% 4.69/5.13 c_Rings_Oinverse__class_Oinverse( X, c_Groups_Otimes__class_Otimes( X, Z
% 4.69/5.13 , Y ) ) = c_Groups_Otimes__class_Otimes( X,
% 4.69/5.13 c_Rings_Oinverse__class_Oinverse( X, Z ),
% 4.69/5.13 c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 4.69/5.13 (21689) {G0,W12,D3,L3,V2,M3} { ! class_Fields_Ofield__inverse__zero( X ),
% 4.69/5.13 ! c_Rings_Oinverse__class_Oinverse( X, Y ) = c_Groups_Oone__class_Oone( X
% 4.69/5.13 ), Y = c_Groups_Oone__class_Oone( X ) }.
% 4.69/5.13 (21690) {G0,W12,D3,L3,V2,M3} { ! class_Fields_Ofield__inverse__zero( X ),
% 4.69/5.13 ! Y = c_Groups_Oone__class_Oone( X ), c_Rings_Oinverse__class_Oinverse( X
% 4.69/5.13 , Y ) = c_Groups_Oone__class_Oone( X ) }.
% 4.69/5.13 (21691) {G0,W17,D4,L2,V3,M2} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ),
% 4.69/5.13 c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Odivide( X, Z, Y )
% 4.69/5.13 ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oabs__class_Oabs( X, Z
% 4.69/5.13 ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 4.69/5.13 (21692) {G0,W13,D4,L2,V3,M2} { ! class_Fields_Ofield__inverse__zero( X ),
% 4.69/5.13 c_Rings_Oinverse__class_Oinverse( X, c_Rings_Oinverse__class_Odivide( X,
% 4.69/5.13 Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X, Y, Z ) }.
% 4.69/5.13 (21693) {G0,W13,D4,L2,V2,M2} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ),
% 4.69/5.13 c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Oinverse( X, Y ) )
% 4.69/5.13 = c_Rings_Oinverse__class_Oinverse( X, c_Groups_Oabs__class_Oabs( X, Y )
% 4.69/5.13 ) }.
% 4.69/5.13 (21694) {G0,W18,D3,L4,V3,M4} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ), alpha25( X, Y, Z ), alpha56
% 4.69/5.13 ( X, Y, Z ) }.
% 4.69/5.13 (21695) {G0,W14,D3,L3,V3,M3} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), ! alpha25( X, Y, Z )
% 4.69/5.13 , c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.13 , c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 4.69/5.13 (21696) {G0,W14,D3,L3,V3,M3} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), ! alpha56( X, Y, Z )
% 4.69/5.13 , c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.13 , c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 4.69/5.13 (21697) {G0,W9,D3,L2,V3,M2} { ! alpha56( X, Y, Z ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.13 ) }.
% 4.69/5.13 (21698) {G0,W9,D3,L2,V3,M2} { ! alpha56( X, Y, Z ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.13 ) }.
% 4.69/5.13 (21699) {G0,W14,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.13 X, Y, c_Groups_Ozero__class_Ozero( X ) ), alpha56( X, Y, Z ) }.
% 4.69/5.13 (21700) {G0,W9,D3,L2,V3,M2} { ! alpha25( X, Y, Z ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 4.69/5.13 ) }.
% 4.69/5.13 (21701) {G0,W9,D3,L2,V3,M2} { ! alpha25( X, Y, Z ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 4.69/5.13 ) }.
% 4.69/5.13 (21702) {G0,W14,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), Z ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 4.69/5.13 ), alpha25( X, Y, Z ) }.
% 4.69/5.13 (21703) {G0,W18,D3,L4,V3,M4} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 4.69/5.13 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha26( X, Y, Z ), alpha57
% 4.69/5.13 ( X, Y, Z ) }.
% 4.69/5.13 (21704) {G0,W14,D3,L3,V3,M3} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), ! alpha26( X, Y, Z )
% 4.69/5.13 , c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide(
% 4.69/5.13 X, Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 4.69/5.13 (21705) {G0,W14,D3,L3,V3,M3} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), ! alpha57( X, Y, Z )
% 4.69/5.13 , c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide(
% 4.69/5.13 X, Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 4.69/5.13 (21706) {G0,W9,D3,L2,V3,M2} { ! alpha57( X, Y, Z ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.13 ) }.
% 4.69/5.13 (21707) {G0,W9,D3,L2,V3,M2} { ! alpha57( X, Y, Z ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 4.69/5.13 ) }.
% 4.69/5.13 (21708) {G0,W14,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.13 X, c_Groups_Ozero__class_Ozero( X ), Y ), alpha57( X, Y, Z ) }.
% 4.69/5.13 (21709) {G0,W9,D3,L2,V3,M2} { ! alpha26( X, Y, Z ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 4.69/5.13 ) }.
% 4.69/5.13 (21710) {G0,W9,D3,L2,V3,M2} { ! alpha26( X, Y, Z ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.13 ) }.
% 4.69/5.13 (21711) {G0,W14,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), Z ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.13 ), alpha26( X, Y, Z ) }.
% 4.69/5.13 (21712) {G0,W21,D3,L4,V4,M4} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 4.69/5.13 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 4.69/5.13 ( X, Z, T ), c_Rings_Oinverse__class_Odivide( X, Y, T ) ) }.
% 4.69/5.13 (21713) {G0,W21,D3,L4,V4,M4} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.13 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 4.69/5.13 ( X, Y, T ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 4.69/5.13 (21714) {G0,W21,D3,L4,V4,M4} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 4.69/5.13 ( X, T, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 4.69/5.13 ( X, c_Rings_Oinverse__class_Odivide( X, Y, T ),
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 4.69/5.13 (21715) {G0,W21,D3,L4,V4,M4} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 4.69/5.13 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 4.69/5.13 ( X, c_Rings_Oinverse__class_Odivide( X, Z, T ),
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, Y, T ) ) }.
% 4.69/5.13 (21716) {G0,W20,D3,L4,V3,M4} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 4.69/5.13 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 4.69/5.13 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, Y, Z ) ) }.
% 4.69/5.13 (21717) {G0,W20,D3,L4,V3,M4} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 4.69/5.13 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 4.69/5.13 , c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Y
% 4.69/5.13 , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 4.69/5.13 (21718) {G0,W20,D3,L4,V3,M4} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 4.69/5.13 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 4.69/5.13 , c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Y
% 4.69/5.13 , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 4.69/5.13 (21719) {G0,W20,D3,L4,V3,M4} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 4.69/5.13 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 4.69/5.13 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, Y, Z ) ) }.
% 4.69/5.13 (21720) {G0,W18,D3,L4,V3,M4} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Z,
% 4.69/5.13 Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha27( X, Y, Z ), alpha58( X,
% 4.69/5.13 Y, Z ) }.
% 4.69/5.13 (21721) {G0,W14,D3,L3,V3,M3} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), ! alpha27( X, Y, Z )
% 4.69/5.13 , c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Z
% 4.69/5.13 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 4.69/5.13 (21722) {G0,W14,D3,L3,V3,M3} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), ! alpha58( X, Y, Z )
% 4.69/5.13 , c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Z
% 4.69/5.13 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 4.69/5.13 (21723) {G0,W9,D3,L2,V3,M2} { ! alpha58( X, Y, Z ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 4.69/5.13 }.
% 4.69/5.13 (21724) {G0,W9,D3,L2,V3,M2} { ! alpha58( X, Y, Z ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 4.69/5.13 }.
% 4.69/5.13 (21725) {G0,W14,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless( X, Z,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), Y ), alpha58( X, Y, Z ) }.
% 4.69/5.13 (21726) {G0,W9,D3,L2,V3,M2} { ! alpha27( X, Y, Z ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 4.69/5.13 }.
% 4.69/5.13 (21727) {G0,W9,D3,L2,V3,M2} { ! alpha27( X, Y, Z ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 4.69/5.13 }.
% 4.69/5.13 (21728) {G0,W14,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), Z ), ! c_Orderings_Oord__class_Oless( X
% 4.69/5.13 , Y, c_Groups_Ozero__class_Ozero( X ) ), alpha27( X, Y, Z ) }.
% 4.69/5.13 (21729) {G0,W18,D3,L4,V3,M4} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ), alpha28( X, Y, Z ), alpha59
% 4.69/5.13 ( X, Y, Z ) }.
% 4.69/5.13 (21730) {G0,W14,D3,L3,V3,M3} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), ! alpha28( X, Y, Z )
% 4.69/5.13 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 4.69/5.13 (21731) {G0,W14,D3,L3,V3,M3} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), ! alpha59( X, Y, Z )
% 4.69/5.13 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 4.69/5.13 (21732) {G0,W9,D3,L2,V3,M2} { ! alpha59( X, Y, Z ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 4.69/5.13 }.
% 4.69/5.13 (21733) {G0,W9,D3,L2,V3,M2} { ! alpha59( X, Y, Z ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 4.69/5.13 }.
% 4.69/5.13 (21734) {G0,W14,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless( X, Z,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless( X, Y
% 4.69/5.13 , c_Groups_Ozero__class_Ozero( X ) ), alpha59( X, Y, Z ) }.
% 4.69/5.13 (21735) {G0,W9,D3,L2,V3,M2} { ! alpha28( X, Y, Z ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 4.69/5.13 }.
% 4.69/5.13 (21736) {G0,W9,D3,L2,V3,M2} { ! alpha28( X, Y, Z ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 4.69/5.13 }.
% 4.69/5.13 (21737) {G0,W14,D3,L3,V3,M3} { ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), Z ), ! c_Orderings_Oord__class_Oless( X
% 4.69/5.13 , c_Groups_Ozero__class_Ozero( X ), Y ), alpha28( X, Y, Z ) }.
% 4.69/5.13 (21738) {G0,W13,D3,L3,V4,M3} { ! class_Fields_Ofield__inverse__zero( X ),
% 4.69/5.13 ! T = c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha60( X, Y, Z, T )
% 4.69/5.13 }.
% 4.69/5.13 (21739) {G0,W12,D3,L3,V4,M3} { ! class_Fields_Ofield__inverse__zero( X ),
% 4.69/5.13 ! T = c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha29( X, Y, T ) }.
% 4.69/5.13 (21740) {G0,W17,D3,L4,V4,M4} { ! class_Fields_Ofield__inverse__zero( X ),
% 4.69/5.13 ! alpha60( X, Y, Z, T ), ! alpha29( X, Y, T ), T =
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 4.69/5.13 (21741) {G0,W15,D3,L3,V4,M3} { ! alpha60( X, Y, Z, T ), Y =
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, T, Y
% 4.69/5.13 ) = Z }.
% 4.69/5.13 (21742) {G0,W9,D3,L2,V4,M2} { ! Y = c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.13 alpha60( X, Y, Z, T ) }.
% 4.69/5.13 (21743) {G0,W11,D3,L2,V4,M2} { ! c_Groups_Otimes__class_Otimes( X, T, Y )
% 4.69/5.13 = Z, alpha60( X, Y, Z, T ) }.
% 4.69/5.13 (21744) {G0,W12,D3,L3,V3,M3} { ! alpha29( X, Y, Z ), ! Y =
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X )
% 4.69/5.13 }.
% 4.69/5.13 (21745) {G0,W8,D3,L2,V3,M2} { Y = c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.13 alpha29( X, Y, Z ) }.
% 4.69/5.13 (21746) {G0,W8,D3,L2,V3,M2} { ! Z = c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.13 alpha29( X, Y, Z ) }.
% 4.69/5.13 (21747) {G0,W13,D3,L3,V4,M3} { ! class_Fields_Ofield__inverse__zero( X ),
% 4.69/5.13 ! c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y, alpha61( X, Y, Z, T )
% 4.69/5.13 }.
% 4.69/5.13 (21748) {G0,W12,D3,L3,V4,M3} { ! class_Fields_Ofield__inverse__zero( X ),
% 4.69/5.13 ! c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y, alpha30( X, Y, Z ) }.
% 4.69/5.13 (21749) {G0,W17,D3,L4,V4,M4} { ! class_Fields_Ofield__inverse__zero( X ),
% 4.69/5.13 ! alpha61( X, Y, Z, T ), ! alpha30( X, Y, Z ),
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y }.
% 4.69/5.13 (21750) {G0,W15,D3,L3,V4,M3} { ! alpha61( X, Y, Z, T ), Z =
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), T = c_Groups_Otimes__class_Otimes( X, Y
% 4.69/5.13 , Z ) }.
% 4.69/5.13 (21751) {G0,W9,D3,L2,V4,M2} { ! Z = c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.13 alpha61( X, Y, Z, T ) }.
% 4.69/5.13 (21752) {G0,W11,D3,L2,V4,M2} { ! T = c_Groups_Otimes__class_Otimes( X, Y,
% 4.69/5.13 Z ), alpha61( X, Y, Z, T ) }.
% 4.69/5.13 (21753) {G0,W12,D3,L3,V3,M3} { ! alpha30( X, Y, Z ), ! Z =
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 4.69/5.13 }.
% 4.69/5.13 (21754) {G0,W8,D3,L2,V3,M2} { Z = c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.13 alpha30( X, Y, Z ) }.
% 4.69/5.13 (21755) {G0,W8,D3,L2,V3,M2} { ! Y = c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.13 alpha30( X, Y, Z ) }.
% 4.69/5.13 (21756) {G0,W21,D4,L3,V4,M3} { ! class_Fields_Ofield__inverse__zero( X ),
% 4.69/5.13 Y = c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X
% 4.69/5.13 , c_Groups_Otimes__class_Otimes( X, T, Y ), c_Groups_Otimes__class_Otimes
% 4.69/5.13 ( X, Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 4.69/5.13 (21757) {G0,W21,D4,L3,V4,M3} { ! class_Fields_Ofield__inverse__zero( X ),
% 4.69/5.13 Y = c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X
% 4.69/5.13 , c_Groups_Otimes__class_Otimes( X, Y, T ), c_Groups_Otimes__class_Otimes
% 4.69/5.13 ( X, Y, Z ) ) = c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 4.69/5.13 (21758) {G0,W28,D3,L5,V5,M5} { ! class_Fields_Ofield( X ), Y =
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ), !
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, U, Y ) =
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, T, Z ), c_Groups_Otimes__class_Otimes
% 4.69/5.13 ( X, U, Z ) = c_Groups_Otimes__class_Otimes( X, T, Y ) }.
% 4.69/5.13 (21759) {G0,W28,D3,L5,V5,M5} { ! class_Fields_Ofield( X ), Y =
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ), !
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, U, Z ) = c_Groups_Otimes__class_Otimes
% 4.69/5.13 ( X, T, Y ), c_Rings_Oinverse__class_Odivide( X, U, Y ) =
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 4.69/5.13 (21760) {G0,W14,D3,L3,V2,M3} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse( X
% 4.69/5.13 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.13 ) }.
% 4.69/5.13 (21761) {G0,W14,D3,L3,V2,M3} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.13 ), c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Rings_Oinverse__class_Oinverse( X, Y ), c_Groups_Ozero__class_Ozero( X
% 4.69/5.13 ) ) }.
% 4.69/5.13 (21762) {G0,W14,D3,L3,V2,M3} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.13 c_Rings_Oinverse__class_Oinverse( X, Y ) ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 4.69/5.13 ) }.
% 4.69/5.13 (21763) {G0,W14,D3,L3,V2,M3} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 4.69/5.13 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 4.69/5.13 ), c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 4.69/5.13 (21764) {G0,W14,D3,L3,V2,M3} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.13 c_Rings_Oinverse__class_Oinverse( X, Y ) ), c_Orderings_Oord__class_Oless
% 4.69/5.13 ( X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 4.69/5.13 (21765) {G0,W14,D3,L3,V2,M3} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.13 c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 4.69/5.13 (21766) {G0,W14,D3,L3,V2,M3} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 4.69/5.13 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 4.69/5.13 , Y, c_Groups_Ozero__class_Ozero( X ) ) }.
% 4.69/5.13 (21767) {G0,W14,D3,L3,V2,M3} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 4.69/5.13 ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 4.69/5.13 (21768) {G0,W14,D3,L3,V2,M3} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.13 c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 4.69/5.13 (21769) {G0,W18,D3,L4,V2,M4} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.13 c_Rings_Oinverse__class_Oinverse( X, Y ) ), Y =
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 4.69/5.13 (21770) {G0,W14,D3,L3,V2,M3} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 4.69/5.13 ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 4.69/5.13 (21771) {G0,W19,D3,L4,V3,M4} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 4.69/5.13 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless
% 4.69/5.13 ( X, c_Rings_Oinverse__class_Oinverse( X, Y ),
% 4.69/5.13 c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 4.69/5.13 (21772) {G0,W19,D3,L4,V3,M4} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 4.69/5.13 ( X, Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 4.69/5.13 ( X, c_Rings_Oinverse__class_Oinverse( X, Y ),
% 4.69/5.13 c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 4.69/5.13 (21773) {G0,W18,D3,L4,V2,M4} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 4.69/5.13 ), c_Groups_Ozero__class_Ozero( X ) ), Y = c_Groups_Ozero__class_Ozero(
% 4.69/5.13 X ), c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X
% 4.69/5.13 ) ) }.
% 4.69/5.13 (21774) {G0,W19,D3,L4,V3,M4} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X, Z
% 4.69/5.13 ), c_Rings_Oinverse__class_Oinverse( X, Y ) ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 4.69/5.13 (21775) {G0,W19,D3,L4,V3,M4} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X, Z
% 4.69/5.13 ), c_Rings_Oinverse__class_Oinverse( X, Y ) ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 4.69/5.13 (21776) {G0,W21,D4,L3,V3,M3} { ! class_Fields_Olinordered__field( X ), Y =
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oabs__class_Oabs( X,
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 4.69/5.13 c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 4.69/5.13 (21777) {G0,W13,D4,L2,V3,M2} { ! class_Fields_Ofield( X ),
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, Z, Y ) =
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, Z, c_Rings_Oinverse__class_Oinverse( X
% 4.69/5.13 , Y ) ) }.
% 4.69/5.13 (21778) {G0,W17,D4,L3,V2,M3} { ! class_Fields_Olinordered__field( X ), Y =
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oabs__class_Oabs( X,
% 4.69/5.13 c_Rings_Oinverse__class_Oinverse( X, Y ) ) =
% 4.69/5.13 c_Rings_Oinverse__class_Oinverse( X, c_Groups_Oabs__class_Oabs( X, Y ) )
% 4.69/5.13 }.
% 4.69/5.13 (21779) {G0,W20,D3,L4,V3,M4} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 4.69/5.13 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.13 , Z ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 4.69/5.13 ( X ), c_Rings_Oinverse__class_Odivide( X, Y, Z ) ) }.
% 4.69/5.13 (21780) {G0,W20,D3,L4,V3,M4} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 4.69/5.13 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 4.69/5.13 ) ), c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 4.69/5.13 X ) ) }.
% 4.69/5.13 (21781) {G0,W30,D3,L6,V5,M6} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 4.69/5.13 ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 4.69/5.13 ! c_Orderings_Oord__class_Oless( X, T, U ), c_Orderings_Oord__class_Oless
% 4.69/5.13 ( X, c_Rings_Oinverse__class_Odivide( X, Y, U ),
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 4.69/5.13 (21782) {G0,W30,D3,L6,V5,M6} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 4.69/5.13 ), ! c_Orderings_Oord__class_Oless( X, Y, Z ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 4.69/5.13 ! c_Orderings_Oord__class_Oless__eq( X, T, U ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Y,
% 4.69/5.13 U ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 4.69/5.13 (21783) {G0,W30,D3,L6,V5,M6} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 4.69/5.13 ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 4.69/5.13 ! c_Orderings_Oord__class_Oless__eq( X, T, U ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 4.69/5.13 , Y, U ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 4.69/5.13 (21784) {G0,W20,D3,L4,V3,M4} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.13 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.13 , Z ), c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 4.69/5.13 X ) ) }.
% 4.69/5.13 (21785) {G0,W20,D3,L4,V3,M4} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.13 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 4.69/5.13 ) ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 4.69/5.13 X ), c_Rings_Oinverse__class_Odivide( X, Y, Z ) ) }.
% 4.69/5.13 (21786) {G0,W14,D3,L3,V4,M3} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 4.69/5.13 Z, Y ) ), alpha62( X, Y, Z, T ) }.
% 4.69/5.13 (21787) {G0,W14,D3,L3,V4,M3} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 4.69/5.13 Z, Y ) ), alpha74( X, Y, Z, T ) }.
% 4.69/5.13 (21788) {G0,W19,D3,L4,V4,M4} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), ! alpha62( X, Y, Z,
% 4.69/5.13 T ), ! alpha74( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T,
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 4.69/5.13 (21789) {G0,W15,D3,L3,V4,M3} { ! alpha74( X, Y, Z, T ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 4.69/5.13 alpha86( X, Y, Z, T ) }.
% 4.69/5.13 (21790) {G0,W10,D3,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), Y ), alpha74( X, Y, Z, T ) }.
% 4.69/5.13 (21791) {G0,W10,D2,L2,V4,M2} { ! alpha86( X, Y, Z, T ), alpha74( X, Y, Z,
% 4.69/5.13 T ) }.
% 4.69/5.13 (21792) {G0,W10,D2,L2,V4,M2} { ! alpha86( X, Y, Z, T ), alpha98( X, Y, Z,
% 4.69/5.13 T ) }.
% 4.69/5.13 (21793) {G0,W9,D2,L2,V4,M2} { ! alpha86( X, Y, Z, T ), alpha31( X, Y, T )
% 4.69/5.13 }.
% 4.69/5.13 (21794) {G0,W14,D2,L3,V4,M3} { ! alpha98( X, Y, Z, T ), ! alpha31( X, Y, T
% 4.69/5.13 ), alpha86( X, Y, Z, T ) }.
% 4.69/5.13 (21795) {G0,W17,D3,L3,V4,M3} { ! alpha98( X, Y, Z, T ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X, T
% 4.69/5.13 , Y ) ) }.
% 4.69/5.13 (21796) {G0,W10,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X, Y,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ) ), alpha98( X, Y, Z, T ) }.
% 4.69/5.13 (21797) {G0,W12,D3,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X, Z,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, T, Y ) ), alpha98( X, Y, Z, T ) }.
% 4.69/5.13 (21798) {G0,W17,D3,L3,V4,M3} { ! alpha62( X, Y, Z, T ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Y
% 4.69/5.13 ), Z ) }.
% 4.69/5.13 (21799) {G0,W10,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), Y ), alpha62( X, Y, Z, T ) }.
% 4.69/5.13 (21800) {G0,W12,D3,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, T, Y ), Z ), alpha62( X, Y, Z, T ) }.
% 4.69/5.13 (21801) {G0,W14,D3,L3,V3,M3} { ! alpha31( X, Y, Z ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 4.69/5.13 }.
% 4.69/5.13 (21802) {G0,W9,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless( X, Y,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ) ), alpha31( X, Y, Z ) }.
% 4.69/5.13 (21803) {G0,W9,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless( X, Z,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ) ), alpha31( X, Y, Z ) }.
% 4.69/5.13 (21804) {G0,W14,D3,L3,V4,M3} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 4.69/5.13 Z ), Y ), alpha63( X, Y, Z, T ) }.
% 4.69/5.13 (21805) {G0,W14,D3,L3,V4,M3} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 4.69/5.13 Z ), Y ), alpha75( X, Y, Z, T ) }.
% 4.69/5.13 (21806) {G0,W19,D3,L4,V4,M4} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), ! alpha63( X, Y, Z,
% 4.69/5.13 T ), ! alpha75( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, T, Z ), Y ) }.
% 4.69/5.13 (21807) {G0,W15,D3,L3,V4,M3} { ! alpha75( X, Y, Z, T ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 4.69/5.13 alpha87( X, Y, Z, T ) }.
% 4.69/5.13 (21808) {G0,W10,D3,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), Z ), alpha75( X, Y, Z, T ) }.
% 4.69/5.13 (21809) {G0,W10,D2,L2,V4,M2} { ! alpha87( X, Y, Z, T ), alpha75( X, Y, Z,
% 4.69/5.13 T ) }.
% 4.69/5.13 (21810) {G0,W10,D2,L2,V4,M2} { ! alpha87( X, Y, Z, T ), alpha99( X, Y, Z,
% 4.69/5.13 T ) }.
% 4.69/5.13 (21811) {G0,W9,D2,L2,V4,M2} { ! alpha87( X, Y, Z, T ), alpha32( X, Y, Z )
% 4.69/5.13 }.
% 4.69/5.13 (21812) {G0,W14,D2,L3,V4,M3} { ! alpha99( X, Y, Z, T ), ! alpha32( X, Y, Z
% 4.69/5.13 ), alpha87( X, Y, Z, T ) }.
% 4.69/5.13 (21813) {G0,W17,D3,L3,V4,M3} { ! alpha99( X, Y, Z, T ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y, Z
% 4.69/5.13 ), T ) }.
% 4.69/5.13 (21814) {G0,W10,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X, Z,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ) ), alpha99( X, Y, Z, T ) }.
% 4.69/5.13 (21815) {G0,W12,D3,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, Y, Z ), T ), alpha99( X, Y, Z, T ) }.
% 4.69/5.13 (21816) {G0,W17,D3,L3,V4,M3} { ! alpha63( X, Y, Z, T ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X, Y
% 4.69/5.13 , Z ) ) }.
% 4.69/5.13 (21817) {G0,W10,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), Z ), alpha63( X, Y, Z, T ) }.
% 4.69/5.13 (21818) {G0,W12,D3,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X, T,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, Y, Z ) ), alpha63( X, Y, Z, T ) }.
% 4.69/5.13 (21819) {G0,W14,D3,L3,V3,M3} { ! alpha32( X, Y, Z ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 4.69/5.13 }.
% 4.69/5.13 (21820) {G0,W9,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless( X, Z,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ) ), alpha32( X, Y, Z ) }.
% 4.69/5.13 (21821) {G0,W9,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), Y ), alpha32( X, Y, Z ) }.
% 4.69/5.13 (21822) {G0,W21,D3,L4,V4,M4} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 4.69/5.13 ! c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X
% 4.69/5.13 , Z, Y ) ), c_Orderings_Oord__class_Oless( X,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, T, Y ), Z ) }.
% 4.69/5.13 (21823) {G0,W21,D3,L4,V4,M4} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 4.69/5.13 ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T,
% 4.69/5.13 Y ), Z ), c_Orderings_Oord__class_Oless( X, T,
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 4.69/5.13 (21824) {G0,W21,D3,L4,V4,M4} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 4.69/5.13 ! c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T
% 4.69/5.13 , Y ), Z ), c_Orderings_Oord__class_Oless( X, T,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 4.69/5.13 (21825) {G0,W21,D3,L4,V4,M4} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 4.69/5.13 ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X,
% 4.69/5.13 Z, Y ) ), c_Orderings_Oord__class_Oless( X,
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) }.
% 4.69/5.13 (21826) {G0,W21,D3,L4,V4,M4} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 4.69/5.13 ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X,
% 4.69/5.13 Z, Y ) ), c_Orderings_Oord__class_Oless( X,
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) }.
% 4.69/5.13 (21827) {G0,W21,D3,L4,V4,M4} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 4.69/5.13 ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T,
% 4.69/5.13 Y ), Z ), c_Orderings_Oord__class_Oless( X, T,
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 4.69/5.13 (21828) {G0,W21,D3,L4,V4,M4} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 4.69/5.13 ! c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X
% 4.69/5.13 , Z, Y ) ), c_Orderings_Oord__class_Oless( X, Z,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 4.69/5.13 (21829) {G0,W21,D3,L4,V4,M4} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 4.69/5.13 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X,
% 4.69/5.13 T, Y ) ), c_Orderings_Oord__class_Oless( X, T,
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 4.69/5.13 (21830) {G0,W21,D3,L4,V4,M4} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 4.69/5.13 ! c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T
% 4.69/5.13 , Y ), Z ), c_Orderings_Oord__class_Oless( X,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, Z, Y ), T ) }.
% 4.69/5.13 (21831) {G0,W21,D3,L4,V4,M4} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 4.69/5.13 ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z,
% 4.69/5.13 Y ), T ), c_Orderings_Oord__class_Oless( X,
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) }.
% 4.69/5.13 (21832) {G0,W29,D3,L5,V4,M5} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 4.69/5.13 ( X, c_Groups_Ozero__class_Ozero( X ), T ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, Y, Z ) ), c_Orderings_Oord__class_Oless
% 4.69/5.13 ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ),
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, T, Z ) ) }.
% 4.69/5.13 (21833) {G0,W29,D3,L5,V4,M5} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 4.69/5.13 ( X, T, c_Groups_Ozero__class_Ozero( X ) ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), c_Orderings_Oord__class_Oless
% 4.69/5.13 ( X, c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, T, Y ) ) }.
% 4.69/5.13 (21834) {G0,W24,D5,L3,V4,M3} { ! class_Fields_Ofield__inverse__zero( X ),
% 4.69/5.13 Y = c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, T,
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, T, Y ) ), Y ) }.
% 4.69/5.13 (21835) {G0,W24,D5,L3,V4,M3} { ! class_Fields_Ofield( X ), Y =
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, T,
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, Y, T ), Z ), Y ) }.
% 4.69/5.13 (21836) {G0,W24,D5,L3,V4,M3} { ! class_Fields_Ofield__inverse__zero( X ),
% 4.69/5.13 Y = c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) =
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, T,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), Y ) }.
% 4.69/5.13 (21837) {G0,W24,D5,L3,V4,M3} { ! class_Fields_Ofield( X ), Y =
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) =
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, T,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, Y, Z ) ), Y ) }.
% 4.69/5.13 (21838) {G0,W37,D5,L4,V5,M4} { ! class_Fields_Ofield( X ), Y =
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.13 c_Groups_Oplus__class_Oplus( X, c_Rings_Oinverse__class_Odivide( X, U, Y
% 4.69/5.13 ), c_Rings_Oinverse__class_Odivide( X, T, Z ) ) =
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 4.69/5.13 X, T, Y ) ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 4.69/5.13 (21839) {G0,W24,D5,L3,V4,M3} { ! class_Fields_Ofield( X ), Y =
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ominus__class_Ominus( X, T,
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, Y, T ), Z ), Y ) }.
% 4.69/5.13 (21840) {G0,W24,D5,L3,V4,M3} { ! class_Fields_Ofield( X ), Y =
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ominus__class_Ominus( X,
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) =
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X, T,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, Y, Z ) ), Y ) }.
% 4.69/5.13 (21841) {G0,W37,D5,L4,V5,M4} { ! class_Fields_Ofield( X ), Y =
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.13 c_Groups_Ominus__class_Ominus( X, c_Rings_Oinverse__class_Odivide( X, U,
% 4.69/5.13 Y ), c_Rings_Oinverse__class_Odivide( X, T, Z ) ) =
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 4.69/5.13 X, T, Y ) ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 4.69/5.13 (21842) {G0,W19,D3,L4,V3,M4} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse( X
% 4.69/5.13 , Z ), c_Rings_Oinverse__class_Oinverse( X, Y ) ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 4.69/5.13 (21843) {G0,W19,D3,L4,V3,M4} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse( X
% 4.69/5.13 , Z ), c_Rings_Oinverse__class_Oinverse( X, Y ) ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 4.69/5.13 (21844) {G0,W19,D3,L4,V3,M4} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse( X
% 4.69/5.13 , Y ), c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 4.69/5.13 (21845) {G0,W19,D3,L4,V3,M4} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse( X
% 4.69/5.13 , Y ), c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 4.69/5.13 (21846) {G0,W21,D5,L3,V3,M3} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 4.69/5.13 X, Z, c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X
% 4.69/5.13 , Z, Y ), c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X )
% 4.69/5.13 , c_Groups_Oone__class_Oone( X ) ) ) ) }.
% 4.69/5.13 (21847) {G0,W21,D5,L3,V3,M3} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 4.69/5.13 X, c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z
% 4.69/5.13 , Y ), c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 4.69/5.13 c_Groups_Oone__class_Oone( X ) ) ), Y ) }.
% 4.69/5.13 (21848) {G0,W19,D3,L4,V2,M4} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse( X
% 4.69/5.13 , Y ), c_Groups_Oone__class_Oone( X ) ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.13 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X )
% 4.69/5.13 , Y ) }.
% 4.69/5.13 (21849) {G0,W14,D3,L3,V2,M3} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.13 ), c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Rings_Oinverse__class_Oinverse( X, Y ), c_Groups_Oone__class_Oone( X )
% 4.69/5.13 ) }.
% 4.69/5.13 (21850) {G0,W14,D3,L3,V2,M3} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ), Y )
% 4.69/5.13 , c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse
% 4.69/5.13 ( X, Y ), c_Groups_Oone__class_Oone( X ) ) }.
% 4.69/5.13 (21851) {G0,W33,D5,L4,V3,M4} { ! class_Fields_Ofield( X ), Y =
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.13 c_Groups_Oplus__class_Oplus( X, c_Rings_Oinverse__class_Oinverse( X, Y )
% 4.69/5.13 , c_Rings_Oinverse__class_Oinverse( X, Z ) ) =
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X,
% 4.69/5.13 c_Groups_Oplus__class_Oplus( X, Y, Z ), c_Rings_Oinverse__class_Oinverse
% 4.69/5.13 ( X, Y ) ), c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 4.69/5.13 (21852) {G0,W14,D3,L3,V2,M3} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 4.69/5.13 c_Rings_Oinverse__class_Oinverse( X, Y ) ), c_Orderings_Oord__class_Oless
% 4.69/5.13 ( X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 4.69/5.13 (21853) {G0,W14,D3,L3,V2,M3} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 4.69/5.13 c_Rings_Oinverse__class_Oinverse( X, Y ) ), c_Orderings_Oord__class_Oless
% 4.69/5.13 ( X, Y, c_Groups_Oone__class_Oone( X ) ) }.
% 4.69/5.13 (21854) {G0,W19,D3,L4,V2,M4} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 4.69/5.13 ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Oone__class_Oone( X ) ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 4.69/5.13 c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 4.69/5.13 (21855) {G0,W19,D3,L4,V2,M4} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 4.69/5.13 ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Oone__class_Oone( X ) ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 4.69/5.13 c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 4.69/5.13 (21856) {G0,W15,D4,L3,V2,M3} { ! class_Fields_Ofield( X ), Y =
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X,
% 4.69/5.13 c_Rings_Oinverse__class_Oinverse( X, Y ), Y ) = c_Groups_Oone__class_Oone
% 4.69/5.13 ( X ) }.
% 4.69/5.13 (21857) {G0,W20,D4,L3,V3,M3} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oabs__class_Oabs( X, Z ), Y
% 4.69/5.13 ) = c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Odivide( X, Z
% 4.69/5.13 , Y ) ) }.
% 4.69/5.13 (21858) {G0,W14,D3,L3,V4,M3} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 4.69/5.13 ( X, Z, Y ) ), alpha64( X, Y, Z, T ) }.
% 4.69/5.13 (21859) {G0,W14,D3,L3,V4,M3} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 4.69/5.13 ( X, Z, Y ) ), alpha76( X, Y, Z, T ) }.
% 4.69/5.13 (21860) {G0,W19,D3,L4,V4,M4} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), ! alpha64( X, Y, Z,
% 4.69/5.13 T ), ! alpha76( X, Y, Z, T ), c_Orderings_Oord__class_Oless__eq( X, T,
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 4.69/5.13 (21861) {G0,W15,D3,L3,V4,M3} { ! alpha76( X, Y, Z, T ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 4.69/5.13 alpha88( X, Y, Z, T ) }.
% 4.69/5.13 (21862) {G0,W10,D3,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), Y ), alpha76( X, Y, Z, T ) }.
% 4.69/5.13 (21863) {G0,W10,D2,L2,V4,M2} { ! alpha88( X, Y, Z, T ), alpha76( X, Y, Z,
% 4.69/5.13 T ) }.
% 4.69/5.13 (21864) {G0,W10,D2,L2,V4,M2} { ! alpha88( X, Y, Z, T ), alpha100( X, Y, Z
% 4.69/5.13 , T ) }.
% 4.69/5.13 (21865) {G0,W9,D2,L2,V4,M2} { ! alpha88( X, Y, Z, T ), alpha33( X, Y, T )
% 4.69/5.13 }.
% 4.69/5.13 (21866) {G0,W14,D2,L3,V4,M3} { ! alpha100( X, Y, Z, T ), ! alpha33( X, Y,
% 4.69/5.13 T ), alpha88( X, Y, Z, T ) }.
% 4.69/5.13 (21867) {G0,W17,D3,L3,V4,M3} { ! alpha100( X, Y, Z, T ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Otimes__class_Otimes( X
% 4.69/5.13 , T, Y ) ) }.
% 4.69/5.13 (21868) {G0,W10,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X, Y,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ) ), alpha100( X, Y, Z, T ) }.
% 4.69/5.13 (21869) {G0,W12,D3,L2,V4,M2} { ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, T, Y ) ), alpha100( X, Y, Z, T ) }.
% 4.69/5.13 (21870) {G0,W17,D3,L3,V4,M3} { ! alpha64( X, Y, Z, T ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 4.69/5.13 , Y ), Z ) }.
% 4.69/5.13 (21871) {G0,W10,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), Y ), alpha64( X, Y, Z, T ) }.
% 4.69/5.13 (21872) {G0,W12,D3,L2,V4,M2} { ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, T, Y ), Z ), alpha64( X, Y, Z, T ) }.
% 4.69/5.13 (21873) {G0,W14,D3,L3,V3,M3} { ! alpha33( X, Y, Z ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.13 ) }.
% 4.69/5.13 (21874) {G0,W9,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless( X, Y,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ) ), alpha33( X, Y, Z ) }.
% 4.69/5.13 (21875) {G0,W9,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ) ), alpha33( X, Y, Z ) }.
% 4.69/5.13 (21876) {G0,W14,D3,L3,V4,M3} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 4.69/5.13 , T, Z ), Y ), alpha65( X, Y, Z, T ) }.
% 4.69/5.13 (21877) {G0,W14,D3,L3,V4,M3} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 4.69/5.13 , T, Z ), Y ), alpha77( X, Y, Z, T ) }.
% 4.69/5.13 (21878) {G0,W19,D3,L4,V4,M4} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), ! alpha65( X, Y, Z,
% 4.69/5.13 T ), ! alpha77( X, Y, Z, T ), c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, T, Z ), Y ) }.
% 4.69/5.13 (21879) {G0,W15,D3,L3,V4,M3} { ! alpha77( X, Y, Z, T ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 4.69/5.13 alpha89( X, Y, Z, T ) }.
% 4.69/5.13 (21880) {G0,W10,D3,L2,V4,M2} { ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), Z ), alpha77( X, Y, Z, T ) }.
% 4.69/5.13 (21881) {G0,W10,D2,L2,V4,M2} { ! alpha89( X, Y, Z, T ), alpha77( X, Y, Z,
% 4.69/5.13 T ) }.
% 4.69/5.13 (21882) {G0,W10,D2,L2,V4,M2} { ! alpha89( X, Y, Z, T ), alpha101( X, Y, Z
% 4.69/5.13 , T ) }.
% 4.69/5.13 (21883) {G0,W9,D2,L2,V4,M2} { ! alpha89( X, Y, Z, T ), alpha34( X, Y, Z )
% 4.69/5.13 }.
% 4.69/5.13 (21884) {G0,W14,D2,L3,V4,M3} { ! alpha101( X, Y, Z, T ), ! alpha34( X, Y,
% 4.69/5.13 Z ), alpha89( X, Y, Z, T ) }.
% 4.69/5.13 (21885) {G0,W17,D3,L3,V4,M3} { ! alpha101( X, Y, Z, T ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Y
% 4.69/5.13 , Z ), T ) }.
% 4.69/5.13 (21886) {G0,W10,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X, Z,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ) ), alpha101( X, Y, Z, T ) }.
% 4.69/5.13 (21887) {G0,W12,D3,L2,V4,M2} { ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, Y, Z ), T ), alpha101( X, Y, Z, T ) }.
% 4.69/5.13 (21888) {G0,W17,D3,L3,V4,M3} { ! alpha65( X, Y, Z, T ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes( X
% 4.69/5.13 , Y, Z ) ) }.
% 4.69/5.13 (21889) {G0,W10,D3,L2,V4,M2} { c_Orderings_Oord__class_Oless( X,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), Z ), alpha65( X, Y, Z, T ) }.
% 4.69/5.13 (21890) {G0,W12,D3,L2,V4,M2} { ! c_Orderings_Oord__class_Oless__eq( X, T,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, Y, Z ) ), alpha65( X, Y, Z, T ) }.
% 4.69/5.13 (21891) {G0,W14,D3,L3,V3,M3} { ! alpha34( X, Y, Z ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 4.69/5.13 ) }.
% 4.69/5.13 (21892) {G0,W9,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless( X, Z,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ) ), alpha34( X, Y, Z ) }.
% 4.69/5.13 (21893) {G0,W9,D3,L2,V3,M2} { ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), Y ), alpha34( X, Y, Z ) }.
% 4.69/5.13 (21894) {G0,W21,D3,L4,V4,M4} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 4.69/5.13 ! c_Orderings_Oord__class_Oless__eq( X, T,
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 4.69/5.13 , Y ), Z ) }.
% 4.69/5.13 (21895) {G0,W21,D3,L4,V4,M4} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 4.69/5.13 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 4.69/5.13 , T, Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, T,
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 4.69/5.13 (21896) {G0,W21,D3,L4,V4,M4} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 4.69/5.13 ! c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide(
% 4.69/5.13 X, T, Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, T,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 4.69/5.13 (21897) {G0,W21,D3,L4,V4,M4} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 4.69/5.13 ! c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes
% 4.69/5.13 ( X, Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) }.
% 4.69/5.13 (21898) {G0,W21,D3,L4,V4,M4} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 4.69/5.13 ! c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes
% 4.69/5.13 ( X, Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) }.
% 4.69/5.13 (21899) {G0,W21,D3,L4,V4,M4} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 4.69/5.13 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 4.69/5.13 , T, Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, T,
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 4.69/5.13 (21900) {G0,W21,D3,L4,V4,M4} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 4.69/5.13 ! c_Orderings_Oord__class_Oless__eq( X, T,
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Otimes__class_Otimes( X
% 4.69/5.13 , T, Y ) ) }.
% 4.69/5.13 (21901) {G0,W21,D3,L4,V4,M4} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 4.69/5.13 ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Otimes__class_Otimes
% 4.69/5.13 ( X, T, Y ) ), c_Orderings_Oord__class_Oless__eq( X, T,
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 4.69/5.13 (21902) {G0,W21,D3,L4,V4,M4} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 4.69/5.13 ! c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide(
% 4.69/5.13 X, T, Y ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, Z, Y ), T ) }.
% 4.69/5.13 (21903) {G0,W21,D3,L4,V4,M4} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 4.69/5.13 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 4.69/5.13 , Z, Y ), T ), c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) }.
% 4.69/5.13 (21904) {G0,W29,D3,L5,V4,M5} { ! class_Fields_Olinordered__field( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 4.69/5.13 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.13 , c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 4.69/5.13 , T, Y ), c_Rings_Oinverse__class_Odivide( X, T, Z ) ) }.
% 4.69/5.13 (21905) {G0,W29,D3,L5,V4,M5} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.13 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.13 , c_Groups_Otimes__class_Otimes( X, Z, Y ) ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 4.69/5.13 , T, Z ), c_Rings_Oinverse__class_Odivide( X, T, Y ) ) }.
% 4.69/5.13 (21906) {G0,W14,D3,L3,V2,M3} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 4.69/5.13 c_Rings_Oinverse__class_Oinverse( X, Y ) ), c_Orderings_Oord__class_Oless
% 4.69/5.13 ( X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 4.69/5.13 (21907) {G0,W14,D3,L3,V2,M3} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 4.69/5.13 c_Rings_Oinverse__class_Oinverse( X, Y ) ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Oone__class_Oone( X ) )
% 4.69/5.13 }.
% 4.69/5.13 (21908) {G0,W19,D3,L4,V2,M4} { !
% 4.69/5.13 class_Fields_Olinordered__field__inverse__zero( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 4.69/5.13 ! c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Oone__class_Oone( X )
% 4.69/5.13 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X )
% 4.69/5.13 , c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 4.69/5.13 (21909) {G0,W16,D5,L1,V2,M1} { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.13 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.69/5.13 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.69/5.13 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, Y, X ) ),
% 4.69/5.13 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ) ),
% 4.69/5.13 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ) }.
% 4.69/5.13 (21910) {G0,W18,D4,L2,V3,M2} { !
% 4.69/5.13 class_Groups_Oordered__ab__group__add__abs( X ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 4.69/5.13 c_Groups_Ominus__class_Ominus( X, Z, Y ) ), c_Groups_Oplus__class_Oplus(
% 4.69/5.13 X, c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) )
% 4.69/5.13 ) }.
% 4.69/5.13 (21911) {G0,W10,D3,L3,V2,M3} { ! class_Groups_Ozero( X ), !
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ) = Y, Y = c_Groups_Ozero__class_Ozero( X
% 4.69/5.13 ) }.
% 4.69/5.13 (21912) {G0,W10,D3,L3,V2,M3} { ! class_Groups_Ozero( X ), ! Y =
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ozero__class_Ozero( X ) = Y
% 4.69/5.13 }.
% 4.69/5.13 (21913) {G0,W17,D4,L2,V4,M2} { ! class_Groups_Oab__semigroup__mult( X ),
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 4.69/5.13 ), Y ) = c_Groups_Otimes__class_Otimes( X, T,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 4.69/5.13 (21914) {G0,W14,D3,L3,V4,M3} { ! class_Groups_Ocancel__semigroup__add( X )
% 4.69/5.13 , ! c_Groups_Oplus__class_Oplus( X, Z, T ) = c_Groups_Oplus__class_Oplus
% 4.69/5.13 ( X, Y, T ), Z = Y }.
% 4.69/5.13 (21915) {G0,W14,D3,L3,V4,M3} { ! class_Groups_Ocancel__ab__semigroup__add
% 4.69/5.13 ( X ), ! c_Groups_Oplus__class_Oplus( X, T, Z ) =
% 4.69/5.13 c_Groups_Oplus__class_Oplus( X, T, Y ), Z = Y }.
% 4.69/5.13 (21916) {G0,W14,D3,L3,V4,M3} { ! class_Groups_Ocancel__semigroup__add( X )
% 4.69/5.13 , ! c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus
% 4.69/5.13 ( X, T, Y ), Z = Y }.
% 4.69/5.13 (21917) {G0,W14,D3,L3,V4,M3} { ! class_Groups_Ocancel__semigroup__add( X )
% 4.69/5.13 , ! c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus
% 4.69/5.13 ( X, Y, Z ), T = Y }.
% 4.69/5.13 (21918) {G0,W14,D3,L3,V4,M3} { ! class_Groups_Ocancel__semigroup__add( X )
% 4.69/5.13 , ! T = Y, c_Groups_Oplus__class_Oplus( X, T, Z ) =
% 4.69/5.13 c_Groups_Oplus__class_Oplus( X, Y, Z ) }.
% 4.69/5.13 (21919) {G0,W14,D3,L3,V4,M3} { ! class_Groups_Ocancel__semigroup__add( X )
% 4.69/5.13 , ! c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus
% 4.69/5.13 ( X, T, Y ), Z = Y }.
% 4.69/5.13 (21920) {G0,W14,D3,L3,V4,M3} { ! class_Groups_Ocancel__semigroup__add( X )
% 4.69/5.13 , ! Z = Y, c_Groups_Oplus__class_Oplus( X, T, Z ) =
% 4.69/5.13 c_Groups_Oplus__class_Oplus( X, T, Y ) }.
% 4.69/5.13 (21921) {G0,W17,D4,L2,V4,M2} { ! class_Groups_Oab__semigroup__add( X ),
% 4.69/5.13 c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X, T, Z ), Y
% 4.69/5.13 ) = c_Groups_Oplus__class_Oplus( X, T, c_Groups_Oplus__class_Oplus( X, Z
% 4.69/5.13 , Y ) ) }.
% 4.69/5.13 (21922) {G0,W17,D3,L4,V5,M4} { ! class_Groups_Oab__group__add( X ), !
% 4.69/5.13 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 4.69/5.13 ( X, Z, Y ), ! U = T, Z = Y }.
% 4.69/5.13 (21923) {G0,W17,D3,L4,V5,M4} { ! class_Groups_Oab__group__add( X ), !
% 4.69/5.13 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 4.69/5.13 ( X, Z, Y ), ! Z = Y, U = T }.
% 4.69/5.13 (21924) {G0,W10,D3,L3,V2,M3} { ! class_Groups_Oone( X ), !
% 4.69/5.13 c_Groups_Oone__class_Oone( X ) = Y, Y = c_Groups_Oone__class_Oone( X )
% 4.69/5.13 }.
% 4.69/5.13 (21925) {G0,W10,D3,L3,V2,M3} { ! class_Groups_Oone( X ), ! Y =
% 4.69/5.13 c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) = Y }.
% 4.69/5.13 (21926) {G0,W12,D3,L3,V3,M3} { ! class_Groups_Ogroup__add( X ), !
% 4.69/5.13 c_Groups_Ouminus__class_Ouminus( X, Z ) = c_Groups_Ouminus__class_Ouminus
% 4.69/5.13 ( X, Y ), Z = Y }.
% 4.69/5.13 (21927) {G0,W12,D3,L3,V3,M3} { ! class_Groups_Ogroup__add( X ), ! Z = Y,
% 4.69/5.13 c_Groups_Ouminus__class_Ouminus( X, Z ) = c_Groups_Ouminus__class_Ouminus
% 4.69/5.13 ( X, Y ) }.
% 4.69/5.13 (21928) {G0,W12,D3,L3,V3,M3} { ! class_Groups_Ogroup__add( X ), !
% 4.69/5.13 c_Groups_Ouminus__class_Ouminus( X, Z ) = Y,
% 4.69/5.13 c_Groups_Ouminus__class_Ouminus( X, Y ) = Z }.
% 4.69/5.13 (21929) {G0,W12,D3,L3,V3,M3} { ! class_Groups_Ogroup__add( X ), !
% 4.69/5.13 c_Groups_Ouminus__class_Ouminus( X, Y ) = Z,
% 4.69/5.13 c_Groups_Ouminus__class_Ouminus( X, Z ) = Y }.
% 4.69/5.13 (21930) {G0,W12,D3,L3,V3,M3} { ! class_Groups_Ogroup__add( X ), ! Z =
% 4.69/5.13 c_Groups_Ouminus__class_Ouminus( X, Y ), Y =
% 4.69/5.13 c_Groups_Ouminus__class_Ouminus( X, Z ) }.
% 4.69/5.13 (21931) {G0,W12,D3,L3,V3,M3} { ! class_Groups_Ogroup__add( X ), ! Y =
% 4.69/5.13 c_Groups_Ouminus__class_Ouminus( X, Z ), Z =
% 4.69/5.13 c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 4.69/5.13 (21932) {G0,W9,D4,L2,V2,M2} { ! class_Groups_Ogroup__add( X ),
% 4.69/5.13 c_Groups_Ouminus__class_Ouminus( X, c_Groups_Ouminus__class_Ouminus( X, Y
% 4.69/5.13 ) ) = Y }.
% 4.69/5.13 (21933) {G0,W11,D4,L2,V2,M2} { !
% 4.69/5.13 class_Groups_Oordered__ab__group__add__abs( X ),
% 4.69/5.13 c_Groups_Oabs__class_Oabs( X, c_Groups_Oabs__class_Oabs( X, Y ) ) =
% 4.69/5.13 c_Groups_Oabs__class_Oabs( X, Y ) }.
% 4.69/5.13 (21934) {G0,W9,D4,L2,V2,M2} { ! class_Groups_Ocomm__monoid__add( X ),
% 4.69/5.13 c_Groups_Oplus__class_Oplus( X, Y, c_Groups_Ozero__class_Ozero( X ) ) = Y
% 4.69/5.13 }.
% 4.69/5.13 (21935) {G0,W9,D4,L2,V2,M2} { ! class_Groups_Omonoid__add( X ),
% 4.69/5.13 c_Groups_Oplus__class_Oplus( X, Y, c_Groups_Ozero__class_Ozero( X ) ) = Y
% 4.69/5.13 }.
% 4.69/5.13 (21936) {G0,W13,D3,L3,V2,M3} { ! class_Groups_Olinordered__ab__group__add
% 4.69/5.13 ( X ), ! c_Groups_Ozero__class_Ozero( X ) = c_Groups_Oplus__class_Oplus(
% 4.69/5.13 X, Y, Y ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.13 (21937) {G0,W13,D3,L3,V2,M3} { ! class_Groups_Olinordered__ab__group__add
% 4.69/5.13 ( X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ) = c_Groups_Oplus__class_Oplus( X, Y, Y )
% 4.69/5.13 }.
% 4.69/5.13 (21938) {G0,W9,D4,L2,V2,M2} { ! class_Groups_Ocomm__monoid__add( X ),
% 4.69/5.13 c_Groups_Oplus__class_Oplus( X, c_Groups_Ozero__class_Ozero( X ), Y ) = Y
% 4.69/5.13 }.
% 4.69/5.13 (21939) {G0,W9,D4,L2,V2,M2} { ! class_Groups_Omonoid__add( X ),
% 4.69/5.13 c_Groups_Oplus__class_Oplus( X, c_Groups_Ozero__class_Ozero( X ), Y ) = Y
% 4.69/5.13 }.
% 4.69/5.13 (21940) {G0,W16,D3,L3,V4,M3} { !
% 4.69/5.13 class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 4.69/5.13 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 4.69/5.13 (21941) {G0,W16,D3,L3,V4,M3} { !
% 4.69/5.13 class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 4.69/5.13 T ), c_Groups_Oplus__class_Oplus( X, Y, T ) ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 4.69/5.13 (21942) {G0,W20,D3,L4,V5,M4} { ! class_Groups_Oordered__ab__semigroup__add
% 4.69/5.13 ( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 4.69/5.13 U ), c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 4.69/5.13 (21943) {G0,W16,D3,L3,V4,M3} { ! class_Groups_Oordered__ab__semigroup__add
% 4.69/5.13 ( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 4.69/5.13 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 4.69/5.13 (21944) {G0,W16,D3,L3,V4,M3} { ! class_Groups_Oordered__ab__semigroup__add
% 4.69/5.13 ( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 4.69/5.13 T ), c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 4.69/5.13 (21945) {G0,W16,D3,L3,V4,M3} { !
% 4.69/5.13 class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 4.69/5.13 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 4.69/5.13 (21946) {G0,W16,D3,L3,V4,M3} { !
% 4.69/5.13 class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 4.69/5.13 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 4.69/5.13 (21947) {G0,W16,D3,L3,V4,M3} { !
% 4.69/5.13 class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 4.69/5.13 Z ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 4.69/5.13 (21948) {G0,W16,D3,L3,V4,M3} { !
% 4.69/5.13 class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 4.69/5.13 Z ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 4.69/5.13 (21949) {G0,W16,D3,L3,V4,M3} { !
% 4.69/5.13 class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 4.69/5.13 , c_Groups_Oplus__class_Oplus( X, T, Y ) ), c_Orderings_Oord__class_Oless
% 4.69/5.13 ( X, Z, Y ) }.
% 4.69/5.13 (21950) {G0,W16,D3,L3,V4,M3} { !
% 4.69/5.13 class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Z, T )
% 4.69/5.13 , c_Groups_Oplus__class_Oplus( X, Y, T ) ), c_Orderings_Oord__class_Oless
% 4.69/5.13 ( X, Z, Y ) }.
% 4.69/5.13 (21951) {G0,W20,D3,L4,V5,M4} { !
% 4.69/5.13 class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 4.69/5.13 ( X, U, T ), c_Orderings_Oord__class_Oless( X,
% 4.69/5.13 c_Groups_Oplus__class_Oplus( X, Z, U ), c_Groups_Oplus__class_Oplus( X, Y
% 4.69/5.13 , T ) ) }.
% 4.69/5.13 (21952) {G0,W16,D3,L3,V4,M3} { !
% 4.69/5.13 class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 4.69/5.13 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 4.69/5.13 , T, Y ) ) }.
% 4.69/5.13 (21953) {G0,W16,D3,L3,V4,M3} { !
% 4.69/5.13 class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 4.69/5.13 X, c_Groups_Oplus__class_Oplus( X, Z, T ), c_Groups_Oplus__class_Oplus( X
% 4.69/5.13 , Y, T ) ) }.
% 4.69/5.13 (21954) {G0,W16,D3,L3,V4,M3} { !
% 4.69/5.13 class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 4.69/5.13 , c_Groups_Oplus__class_Oplus( X, T, Y ) ), c_Orderings_Oord__class_Oless
% 4.69/5.13 ( X, Z, Y ) }.
% 4.69/5.13 (21955) {G0,W16,D3,L3,V4,M3} { !
% 4.69/5.13 class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 4.69/5.13 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 4.69/5.13 , T, Y ) ) }.
% 4.69/5.13 (21956) {G0,W16,D3,L3,V4,M3} { !
% 4.69/5.13 class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 4.69/5.13 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ), c_Orderings_Oord__class_Oless
% 4.69/5.13 ( X, T, Y ) }.
% 4.69/5.13 (21957) {G0,W16,D3,L3,V4,M3} { !
% 4.69/5.13 class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, T, Y ), c_Orderings_Oord__class_Oless(
% 4.69/5.13 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 4.69/5.13 , Y, Z ) ) }.
% 4.69/5.13 (21958) {G0,W12,D3,L3,V3,M3} { ! class_Groups_Ogroup__add( X ), !
% 4.69/5.13 c_Groups_Ominus__class_Ominus( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X
% 4.69/5.13 ), Z = Y }.
% 4.69/5.13 (21959) {G0,W12,D3,L3,V3,M3} { ! class_Groups_Ogroup__add( X ), ! Z = Y,
% 4.69/5.13 c_Groups_Ominus__class_Ominus( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X
% 4.69/5.13 ) }.
% 4.69/5.13 (21960) {G0,W12,D3,L3,V3,M3} { ! class_Groups_Oab__group__add( X ), ! Z =
% 4.69/5.13 Y, c_Groups_Ominus__class_Ominus( X, Z, Y ) = c_Groups_Ozero__class_Ozero
% 4.69/5.13 ( X ) }.
% 4.69/5.13 (21961) {G0,W12,D3,L3,V3,M3} { ! class_Groups_Oab__group__add( X ), !
% 4.69/5.13 c_Groups_Ominus__class_Ominus( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X
% 4.69/5.13 ), Z = Y }.
% 4.69/5.13 (21962) {G0,W9,D3,L2,V2,M2} { ! class_Groups_Ogroup__add( X ),
% 4.69/5.13 c_Groups_Ominus__class_Ominus( X, Y, Y ) = c_Groups_Ozero__class_Ozero( X
% 4.69/5.13 ) }.
% 4.69/5.13 (21963) {G0,W9,D4,L2,V2,M2} { ! class_Groups_Ogroup__add( X ),
% 4.69/5.13 c_Groups_Ominus__class_Ominus( X, Y, c_Groups_Ozero__class_Ozero( X ) ) =
% 4.69/5.13 Y }.
% 4.69/5.13 (21964) {G0,W19,D3,L4,V5,M4} { ! class_Groups_Oordered__ab__group__add( X
% 4.69/5.13 ), ! c_Groups_Ominus__class_Ominus( X, U, T ) =
% 4.69/5.13 c_Groups_Ominus__class_Ominus( X, Z, Y ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 4.69/5.13 (21965) {G0,W19,D3,L4,V5,M4} { ! class_Groups_Oordered__ab__group__add( X
% 4.69/5.13 ), ! c_Groups_Ominus__class_Ominus( X, U, T ) =
% 4.69/5.13 c_Groups_Ominus__class_Ominus( X, Z, Y ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, U, T ) }.
% 4.69/5.13 (21966) {G0,W19,D3,L4,V5,M4} { ! class_Groups_Oordered__ab__group__add( X
% 4.69/5.13 ), ! c_Groups_Ominus__class_Ominus( X, U, T ) =
% 4.69/5.13 c_Groups_Ominus__class_Ominus( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 4.69/5.13 ( X, U, T ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 4.69/5.13 (21967) {G0,W19,D3,L4,V5,M4} { ! class_Groups_Oordered__ab__group__add( X
% 4.69/5.13 ), ! c_Groups_Ominus__class_Ominus( X, U, T ) =
% 4.69/5.13 c_Groups_Ominus__class_Ominus( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 4.69/5.13 ( X, Z, Y ), c_Orderings_Oord__class_Oless( X, U, T ) }.
% 4.69/5.13 (21968) {G0,W11,D3,L3,V2,M3} { ! class_Groups_Olinordered__ab__group__add
% 4.69/5.13 ( X ), ! c_Groups_Ouminus__class_Ouminus( X, Y ) = Y, Y =
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.13 (21969) {G0,W11,D3,L3,V2,M3} { ! class_Groups_Olinordered__ab__group__add
% 4.69/5.13 ( X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.13 c_Groups_Ouminus__class_Ouminus( X, Y ) = Y }.
% 4.69/5.13 (21970) {G0,W12,D3,L3,V2,M3} { ! class_Groups_Ogroup__add( X ), !
% 4.69/5.13 c_Groups_Ouminus__class_Ouminus( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 4.69/5.13 ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.13 (21971) {G0,W12,D3,L3,V2,M3} { ! class_Groups_Ogroup__add( X ), ! Y =
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ouminus__class_Ouminus( X, Y )
% 4.69/5.13 = c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.13 (21972) {G0,W11,D3,L3,V2,M3} { ! class_Groups_Olinordered__ab__group__add
% 4.69/5.13 ( X ), ! Y = c_Groups_Ouminus__class_Ouminus( X, Y ), Y =
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.13 (21973) {G0,W11,D3,L3,V2,M3} { ! class_Groups_Olinordered__ab__group__add
% 4.69/5.13 ( X ), ! Y = c_Groups_Ozero__class_Ozero( X ), Y =
% 4.69/5.13 c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 4.69/5.13 (21974) {G0,W12,D3,L3,V2,M3} { ! class_Groups_Ogroup__add( X ), !
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ) = c_Groups_Ouminus__class_Ouminus( X, Y
% 4.69/5.13 ), c_Groups_Ozero__class_Ozero( X ) = Y }.
% 4.69/5.13 (21975) {G0,W12,D3,L3,V2,M3} { ! class_Groups_Ogroup__add( X ), !
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ) = Y, c_Groups_Ozero__class_Ozero( X ) =
% 4.69/5.13 c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 4.69/5.13 (21976) {G0,W9,D4,L2,V1,M2} { ! class_Groups_Ogroup__add( X ),
% 4.69/5.13 c_Groups_Ouminus__class_Ouminus( X, c_Groups_Ozero__class_Ozero( X ) ) =
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.13 (21977) {G0,W9,D4,L2,V2,M2} { ! class_Groups_Ocomm__monoid__mult( X ),
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, Y, c_Groups_Oone__class_Oone( X ) ) = Y
% 4.69/5.13 }.
% 4.69/5.13 (21978) {G0,W9,D4,L2,V2,M2} { ! class_Groups_Omonoid__mult( X ),
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, Y, c_Groups_Oone__class_Oone( X ) ) = Y
% 4.69/5.13 }.
% 4.69/5.13 (21979) {G0,W9,D4,L2,V2,M2} { ! class_Groups_Ocomm__monoid__mult( X ),
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, c_Groups_Oone__class_Oone( X ), Y ) = Y
% 4.69/5.13 }.
% 4.69/5.13 (21980) {G0,W9,D4,L2,V2,M2} { ! class_Groups_Omonoid__mult( X ),
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, c_Groups_Oone__class_Oone( X ), Y ) = Y
% 4.69/5.13 }.
% 4.69/5.13 (21981) {G0,W14,D3,L3,V3,M3} { ! class_Groups_Oordered__ab__group__add( X
% 4.69/5.13 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 4.69/5.13 , Y ), c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 4.69/5.13 (21982) {G0,W14,D3,L3,V3,M3} { ! class_Groups_Oordered__ab__group__add( X
% 4.69/5.13 ), ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Groups_Ouminus__class_Ouminus( X, Z ), c_Groups_Ouminus__class_Ouminus
% 4.69/5.13 ( X, Y ) ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 4.69/5.13 (21983) {G0,W14,D3,L3,V3,M3} { ! class_Groups_Oordered__ab__group__add( X
% 4.69/5.13 ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 4.69/5.13 , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 4.69/5.13 (21984) {G0,W14,D3,L3,V3,M3} { ! class_Groups_Oordered__ab__group__add( X
% 4.69/5.13 ), ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 4.69/5.13 , Y ), Z ) }.
% 4.69/5.13 (21985) {G0,W14,D3,L3,V3,M3} { ! class_Groups_Oordered__ab__group__add( X
% 4.69/5.13 ), ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Groups_Ouminus__class_Ouminus( X, Y ), Z ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 4.69/5.13 , Z ), Y ) }.
% 4.69/5.13 (21986) {G0,W14,D3,L3,V3,M3} { ! class_Groups_Oordered__ab__group__add( X
% 4.69/5.13 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 4.69/5.13 c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ouminus__class_Ouminus
% 4.69/5.13 ( X, Z ) ) }.
% 4.69/5.13 (21987) {G0,W14,D3,L3,V3,M3} { ! class_Groups_Oordered__ab__group__add( X
% 4.69/5.13 ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 4.69/5.13 c_Groups_Ouminus__class_Ouminus( X, Z ) ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ouminus__class_Ouminus
% 4.69/5.13 ( X, Y ) ) }.
% 4.69/5.13 (21988) {G0,W11,D4,L2,V3,M2} { ! class_Groups_Ogroup__add( X ),
% 4.69/5.13 c_Groups_Ominus__class_Ominus( X, c_Groups_Oplus__class_Oplus( X, Z, Y )
% 4.69/5.13 , Y ) = Z }.
% 4.69/5.13 (21989) {G0,W11,D4,L2,V3,M2} { ! class_Groups_Ogroup__add( X ),
% 4.69/5.13 c_Groups_Oplus__class_Oplus( X, c_Groups_Ominus__class_Ominus( X, Z, Y )
% 4.69/5.13 , Y ) = Z }.
% 4.69/5.13 (21990) {G0,W14,D3,L3,V3,M3} { ! class_Groups_Oordered__ab__group__add( X
% 4.69/5.13 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus(
% 4.69/5.13 X, Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 4.69/5.13 (21991) {G0,W14,D3,L3,V3,M3} { ! class_Groups_Oordered__ab__group__add( X
% 4.69/5.13 ), ! c_Orderings_Oord__class_Oless( X, Y, Z ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 4.69/5.13 , c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 4.69/5.13 (21992) {G0,W14,D3,L3,V3,M3} { ! class_Groups_Oordered__ab__group__add( X
% 4.69/5.13 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus(
% 4.69/5.13 X, Z ), Y ), c_Orderings_Oord__class_Oless( X,
% 4.69/5.13 c_Groups_Ouminus__class_Ouminus( X, Y ), Z ) }.
% 4.69/5.13 (21993) {G0,W14,D3,L3,V3,M3} { ! class_Groups_Oordered__ab__group__add( X
% 4.69/5.13 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus(
% 4.69/5.13 X, Y ), Z ), c_Orderings_Oord__class_Oless( X,
% 4.69/5.13 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) }.
% 4.69/5.13 (21994) {G0,W14,D3,L3,V3,M3} { ! class_Groups_Oordered__ab__group__add( X
% 4.69/5.13 ), ! c_Orderings_Oord__class_Oless( X, Z,
% 4.69/5.13 c_Groups_Ouminus__class_Ouminus( X, Y ) ), c_Orderings_Oord__class_Oless
% 4.69/5.13 ( X, Y, c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 4.69/5.13 (21995) {G0,W14,D3,L3,V3,M3} { ! class_Groups_Oordered__ab__group__add( X
% 4.69/5.13 ), ! c_Orderings_Oord__class_Oless( X, Y,
% 4.69/5.13 c_Groups_Ouminus__class_Ouminus( X, Z ) ), c_Orderings_Oord__class_Oless
% 4.69/5.13 ( X, Z, c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 4.69/5.13 (21996) {G0,W13,D4,L2,V3,M2} { ! class_Groups_Ogroup__add( X ),
% 4.69/5.13 c_Groups_Oplus__class_Oplus( X, c_Groups_Ouminus__class_Ouminus( X, Z ),
% 4.69/5.13 c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = Y }.
% 4.69/5.13 (21997) {G0,W13,D5,L2,V3,M2} { ! class_Groups_Ogroup__add( X ),
% 4.69/5.13 c_Groups_Oplus__class_Oplus( X, Z, c_Groups_Oplus__class_Oplus( X,
% 4.69/5.13 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) ) = Y }.
% 4.69/5.13 (21998) {G0,W17,D4,L2,V3,M2} { ! class_Groups_Ogroup__add( X ),
% 4.69/5.13 c_Groups_Ouminus__class_Ouminus( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 4.69/5.13 ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Ouminus__class_Ouminus( X
% 4.69/5.13 , Y ), c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 4.69/5.13 (21999) {G0,W17,D4,L2,V3,M2} { ! class_Groups_Oab__group__add( X ),
% 4.69/5.13 c_Groups_Ouminus__class_Ouminus( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 4.69/5.13 ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Ouminus__class_Ouminus( X
% 4.69/5.13 , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 4.69/5.13 (22000) {G0,W13,D4,L2,V3,M2} { ! class_Groups_Oab__group__add( X ),
% 4.69/5.13 c_Groups_Ouminus__class_Ouminus( X, c_Groups_Ominus__class_Ominus( X, Z,
% 4.69/5.13 Y ) ) = c_Groups_Ominus__class_Ominus( X, Y, Z ) }.
% 4.69/5.13 (22001) {G0,W12,D3,L3,V2,M3} { !
% 4.69/5.13 class_Groups_Oordered__ab__group__add__abs( X ), !
% 4.69/5.13 c_Groups_Oabs__class_Oabs( X, Y ) = c_Groups_Ozero__class_Ozero( X ), Y =
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.13 (22002) {G0,W12,D3,L3,V2,M3} { !
% 4.69/5.13 class_Groups_Oordered__ab__group__add__abs( X ), ! Y =
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oabs__class_Oabs( X, Y ) =
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.13 (22003) {G0,W9,D4,L2,V1,M2} { ! class_Groups_Oordered__ab__group__add__abs
% 4.69/5.13 ( X ), c_Groups_Oabs__class_Oabs( X, c_Groups_Ozero__class_Ozero( X ) ) =
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.13 (22004) {G0,W12,D3,L3,V3,M3} { !
% 4.69/5.13 class_Groups_Oordered__ab__group__add__abs( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 4.69/5.13 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 4.69/5.13 (22005) {G0,W8,D3,L2,V2,M2} { ! class_Groups_Oordered__ab__group__add__abs
% 4.69/5.13 ( X ), c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Oabs__class_Oabs
% 4.69/5.13 ( X, Y ) ) }.
% 4.69/5.13 (22006) {G0,W21,D5,L2,V3,M2} { !
% 4.69/5.13 class_Groups_Oordered__ab__group__add__abs( X ),
% 4.69/5.13 c_Groups_Oabs__class_Oabs( X, c_Groups_Oplus__class_Oplus( X,
% 4.69/5.13 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ) )
% 4.69/5.13 = c_Groups_Oplus__class_Oplus( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 4.69/5.13 c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 4.69/5.13 (22007) {G0,W15,D4,L2,V3,M2} { !
% 4.69/5.13 class_Groups_Oordered__ab__group__add__abs( X ),
% 4.69/5.13 c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Z, Y ) )
% 4.69/5.13 = c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Y, Z )
% 4.69/5.13 ) }.
% 4.69/5.13 (22008) {G0,W11,D4,L2,V2,M2} { !
% 4.69/5.13 class_Groups_Oordered__ab__group__add__abs( X ),
% 4.69/5.13 c_Groups_Oabs__class_Oabs( X, c_Groups_Ouminus__class_Ouminus( X, Y ) ) =
% 4.69/5.13 c_Groups_Oabs__class_Oabs( X, Y ) }.
% 4.69/5.13 (22009) {G0,W11,D4,L1,V2,M1} { c_Groups_Ominus__class_Ominus(
% 4.69/5.13 tc_Complex_Ocomplex, Y, X ) = c_Groups_Oplus__class_Oplus(
% 4.69/5.13 tc_Complex_Ocomplex, Y, c_Groups_Ouminus__class_Ouminus(
% 4.69/5.13 tc_Complex_Ocomplex, X ) ) }.
% 4.69/5.13 (22010) {G0,W20,D3,L4,V3,M4} { ! class_Groups_Oordered__comm__monoid__add
% 4.69/5.13 ( X ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.13 X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Y,
% 4.69/5.13 Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 4.69/5.13 (22011) {G0,W18,D3,L4,V4,M4} { ! class_Groups_Oordered__comm__monoid__add
% 4.69/5.13 ( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), Y ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oplus__class_Oplus( X,
% 4.69/5.13 Z, Y ) ) }.
% 4.69/5.13 (22012) {G0,W18,D3,L4,V4,M4} { ! class_Groups_Oordered__comm__monoid__add
% 4.69/5.13 ( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), Y ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oplus__class_Oplus( X,
% 4.69/5.13 Y, Z ) ) }.
% 4.69/5.13 (22013) {G0,W23,D3,L5,V3,M5} { ! class_Groups_Oordered__comm__monoid__add
% 4.69/5.13 ( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), Y ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 4.69/5.13 ), ! c_Groups_Oplus__class_Oplus( X, Y, Z ) =
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 4.69/5.13 }.
% 4.69/5.13 (22014) {G0,W23,D3,L5,V3,M5} { ! class_Groups_Oordered__comm__monoid__add
% 4.69/5.13 ( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), Y ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 4.69/5.13 ), ! c_Groups_Oplus__class_Oplus( X, Y, Z ) =
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X )
% 4.69/5.13 }.
% 4.69/5.13 (22015) {G0,W27,D3,L6,V3,M6} { ! class_Groups_Oordered__comm__monoid__add
% 4.69/5.13 ( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), Y ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 4.69/5.13 ), ! Y = c_Groups_Ozero__class_Ozero( X ), ! Z =
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Z )
% 4.69/5.13 = c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.13 (22016) {G0,W20,D3,L4,V3,M4} { ! class_Groups_Oordered__comm__monoid__add
% 4.69/5.13 ( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), Y ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 4.69/5.13 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 4.69/5.13 ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 4.69/5.13 (22017) {G0,W15,D3,L3,V2,M3} { ! class_Groups_Olinordered__ab__group__add
% 4.69/5.13 ( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Groups_Oplus__class_Oplus( X, Y, Y ), c_Groups_Ozero__class_Ozero( X )
% 4.69/5.13 ), c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero
% 4.69/5.13 ( X ) ) }.
% 4.69/5.13 (22018) {G0,W15,D3,L3,V2,M3} { ! class_Groups_Olinordered__ab__group__add
% 4.69/5.13 ( X ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 4.69/5.13 , c_Groups_Oplus__class_Oplus( X, Y, Y ), c_Groups_Ozero__class_Ozero( X
% 4.69/5.13 ) ) }.
% 4.69/5.13 (22019) {G0,W15,D3,L3,V2,M3} { ! class_Groups_Olinordered__ab__group__add
% 4.69/5.13 ( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Y )
% 4.69/5.13 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 4.69/5.13 ), Y ) }.
% 4.69/5.13 (22020) {G0,W15,D3,L3,V2,M3} { ! class_Groups_Olinordered__ab__group__add
% 4.69/5.13 ( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless__eq
% 4.69/5.13 ( X, c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y
% 4.69/5.13 , Y ) ) }.
% 4.69/5.13 (22021) {G0,W15,D3,L3,V2,M3} { ! class_Groups_Olinordered__ab__group__add
% 4.69/5.13 ( X ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X
% 4.69/5.13 ), c_Groups_Oplus__class_Oplus( X, Y, Y ) ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 4.69/5.13 }.
% 4.69/5.13 (22022) {G0,W15,D3,L3,V2,M3} { ! class_Groups_Olinordered__ab__group__add
% 4.69/5.13 ( X ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X
% 4.69/5.13 ), Y ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X
% 4.69/5.13 ), c_Groups_Oplus__class_Oplus( X, Y, Y ) ) }.
% 4.69/5.13 (22023) {G0,W15,D3,L3,V2,M3} { ! class_Groups_Olinordered__ab__group__add
% 4.69/5.13 ( X ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X
% 4.69/5.13 , Y, Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 4.69/5.13 }.
% 4.69/5.13 (22024) {G0,W15,D3,L3,V2,M3} { ! class_Groups_Olinordered__ab__group__add
% 4.69/5.13 ( X ), ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero
% 4.69/5.13 ( X ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X
% 4.69/5.13 , Y, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 4.69/5.13 (22025) {G0,W20,D3,L4,V3,M4} { ! class_Groups_Oordered__comm__monoid__add
% 4.69/5.13 ( X ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X
% 4.69/5.13 ), Y ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero
% 4.69/5.13 ( X ), Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero
% 4.69/5.13 ( X ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 4.69/5.13 (22026) {G0,W20,D3,L4,V3,M4} { ! class_Groups_Oordered__comm__monoid__add
% 4.69/5.13 ( X ), ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero
% 4.69/5.13 ( X ) ), ! c_Orderings_Oord__class_Oless( X, Z,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 4.69/5.13 c_Groups_Oplus__class_Oplus( X, Y, Z ), c_Groups_Ozero__class_Ozero( X )
% 4.69/5.13 ) }.
% 4.69/5.13 (22027) {G0,W20,D3,L4,V5,M4} { !
% 4.69/5.13 class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, U, T ), c_Orderings_Oord__class_Oless(
% 4.69/5.13 X, c_Groups_Oplus__class_Oplus( X, Z, U ), c_Groups_Oplus__class_Oplus( X
% 4.69/5.13 , Y, T ) ) }.
% 4.69/5.13 (22028) {G0,W20,D3,L4,V5,M4} { !
% 4.69/5.13 class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Z, U )
% 4.69/5.13 , c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 4.69/5.13 (22029) {G0,W14,D3,L3,V3,M3} { ! class_Groups_Oordered__ab__group__add( X
% 4.69/5.13 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X, Z
% 4.69/5.13 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 4.69/5.13 (22030) {G0,W14,D3,L3,V3,M3} { ! class_Groups_Oordered__ab__group__add( X
% 4.69/5.13 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus
% 4.69/5.13 ( X, Z, Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 4.69/5.13 (22031) {G0,W14,D3,L3,V3,M3} { ! class_Groups_Oordered__ab__group__add( X
% 4.69/5.13 ), ! c_Orderings_Oord__class_Oless( X, Z, Y ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ominus__class_Ominus( X, Z, Y
% 4.69/5.13 ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 4.69/5.13 (22032) {G0,W14,D3,L3,V3,M3} { ! class_Groups_Oordered__ab__group__add( X
% 4.69/5.13 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ominus__class_Ominus( X
% 4.69/5.13 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 4.69/5.13 (22033) {G0,W13,D3,L3,V2,M3} { ! class_Groups_Olinordered__ab__group__add
% 4.69/5.13 ( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Groups_Ouminus__class_Ouminus( X, Y ), Y ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 4.69/5.13 ) }.
% 4.69/5.13 (22034) {G0,W13,D3,L3,V2,M3} { ! class_Groups_Olinordered__ab__group__add
% 4.69/5.13 ( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless__eq
% 4.69/5.13 ( X, c_Groups_Ouminus__class_Ouminus( X, Y ), Y ) }.
% 4.69/5.13 (22035) {G0,W14,D3,L3,V2,M3} { ! class_Groups_Oordered__ab__group__add( X
% 4.69/5.13 ), ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Groups_Ouminus__class_Ouminus( X, Y ), c_Groups_Ozero__class_Ozero( X )
% 4.69/5.13 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 4.69/5.13 ), Y ) }.
% 4.69/5.13 (22036) {G0,W14,D3,L3,V2,M3} { ! class_Groups_Oordered__ab__group__add( X
% 4.69/5.13 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 4.69/5.13 X ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Groups_Ouminus__class_Ouminus( X, Y ), c_Groups_Ozero__class_Ozero( X )
% 4.69/5.13 ) }.
% 4.69/5.13 (22037) {G0,W13,D3,L3,V2,M3} { ! class_Groups_Olinordered__ab__group__add
% 4.69/5.13 ( X ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 4.69/5.13 c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.13 ) }.
% 4.69/5.13 (22038) {G0,W13,D3,L3,V2,M3} { ! class_Groups_Olinordered__ab__group__add
% 4.69/5.13 ( X ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 4.69/5.13 , Y, c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 4.69/5.13 (22039) {G0,W14,D3,L3,V2,M3} { ! class_Groups_Oordered__ab__group__add( X
% 4.69/5.13 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 4.69/5.13 X ), c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.13 ) }.
% 4.69/5.13 (22040) {G0,W14,D3,L3,V2,M3} { ! class_Groups_Oordered__ab__group__add( X
% 4.69/5.13 ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 4.69/5.13 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Ouminus__class_Ouminus( X, Y
% 4.69/5.13 ) ) }.
% 4.69/5.13 (22041) {G0,W14,D3,L3,V2,M3} { ! class_Groups_Oordered__ab__group__add( X
% 4.69/5.13 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.13 , c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 4.69/5.13 }.
% 4.69/5.13 (22042) {G0,W14,D3,L3,V2,M3} { ! class_Groups_Oordered__ab__group__add( X
% 4.69/5.13 ), ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X
% 4.69/5.13 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.13 , c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 4.69/5.13 (22043) {G0,W14,D3,L3,V2,M3} { ! class_Groups_Oordered__ab__group__add( X
% 4.69/5.13 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus(
% 4.69/5.13 X, Y ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 4.69/5.13 ( X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 4.69/5.13 (22044) {G0,W14,D3,L3,V2,M3} { ! class_Groups_Oordered__ab__group__add( X
% 4.69/5.13 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.13 , Y ), c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus
% 4.69/5.13 ( X, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 4.69/5.13 (22045) {G0,W13,D3,L3,V2,M3} { ! class_Groups_Olinordered__ab__group__add
% 4.69/5.13 ( X ), ! c_Orderings_Oord__class_Oless( X,
% 4.69/5.13 c_Groups_Ouminus__class_Ouminus( X, Y ), Y ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 4.69/5.13 }.
% 4.69/5.13 (22046) {G0,W13,D3,L3,V2,M3} { ! class_Groups_Olinordered__ab__group__add
% 4.69/5.13 ( X ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X
% 4.69/5.13 ), Y ), c_Orderings_Oord__class_Oless( X,
% 4.69/5.13 c_Groups_Ouminus__class_Ouminus( X, Y ), Y ) }.
% 4.69/5.13 (22047) {G0,W14,D3,L3,V3,M3} { ! class_Groups_Ogroup__add( X ), !
% 4.69/5.13 c_Groups_Oplus__class_Oplus( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X )
% 4.69/5.13 , c_Groups_Ouminus__class_Ouminus( X, Z ) = Y }.
% 4.69/5.13 (22048) {G0,W11,D4,L2,V2,M2} { ! class_Groups_Oab__group__add( X ),
% 4.69/5.13 c_Groups_Oplus__class_Oplus( X, c_Groups_Ouminus__class_Ouminus( X, Y ),
% 4.69/5.13 Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.13 (22049) {G0,W11,D4,L2,V2,M2} { ! class_Groups_Ogroup__add( X ),
% 4.69/5.13 c_Groups_Oplus__class_Oplus( X, c_Groups_Ouminus__class_Ouminus( X, Y ),
% 4.69/5.13 Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.13 (22050) {G0,W14,D3,L3,V3,M3} { ! class_Groups_Ogroup__add( X ), ! Z =
% 4.69/5.13 c_Groups_Ouminus__class_Ouminus( X, Y ), c_Groups_Oplus__class_Oplus( X,
% 4.69/5.13 Z, Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.13 (22051) {G0,W14,D3,L3,V3,M3} { ! class_Groups_Ogroup__add( X ), !
% 4.69/5.13 c_Groups_Oplus__class_Oplus( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X )
% 4.69/5.13 , Z = c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 4.69/5.13 (22052) {G0,W11,D4,L2,V2,M2} { ! class_Groups_Ogroup__add( X ),
% 4.69/5.13 c_Groups_Oplus__class_Oplus( X, Y, c_Groups_Ouminus__class_Ouminus( X, Y
% 4.69/5.13 ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 4.69/5.13 (22053) {G0,W11,D4,L2,V2,M2} { ! class_Groups_Ogroup__add( X ),
% 4.69/5.13 c_Groups_Ominus__class_Ominus( X, c_Groups_Ozero__class_Ozero( X ), Y ) =
% 4.69/5.13 c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 4.69/5.13 (22054) {G0,W12,D3,L3,V2,M3} { !
% 4.69/5.13 class_Groups_Oordered__ab__group__add__abs( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 4.69/5.13 ), c_Groups_Oabs__class_Oabs( X, Y ) = Y }.
% 4.69/5.13 (22055) {G0,W13,D3,L3,V2,M3} { !
% 4.69/5.13 class_Groups_Oordered__ab__group__add__abs( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Y ),
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ) ), Y = c_Groups_Ozero__class_Ozero( X )
% 4.69/5.13 }.
% 4.69/5.13 (22056) {G0,W13,D3,L3,V2,M3} { !
% 4.69/5.13 class_Groups_Oordered__ab__group__add__abs( X ), ! Y =
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Groups_Oabs__class_Oabs( X, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 4.69/5.13 (22057) {G0,W9,D3,L2,V2,M2} { ! class_Groups_Oordered__ab__group__add__abs
% 4.69/5.13 ( X ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 4.69/5.13 ( X ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 4.69/5.13 (22058) {G0,W9,D3,L2,V2,M2} { ! class_Groups_Oordered__ab__group__add__abs
% 4.69/5.13 ( X ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Oabs__class_Oabs( X,
% 4.69/5.13 Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 4.69/5.13 (22059) {G0,W13,D3,L3,V2,M3} { !
% 4.69/5.13 class_Groups_Oordered__ab__group__add__abs( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 4.69/5.13 c_Groups_Oabs__class_Oabs( X, Y ) ), ! Y = c_Groups_Ozero__class_Ozero( X
% 4.69/5.13 ) }.
% 4.69/5.13 (22060) {G0,W13,D3,L3,V2,M3} { !
% 4.69/5.13 class_Groups_Oordered__ab__group__add__abs( X ), Y =
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 4.69/5.13 (22061) {G0,W12,D3,L3,V2,M3} { !
% 4.69/5.13 class_Groups_Oordered__ab__group__add__abs( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 4.69/5.13 c_Groups_Oabs__class_Oabs( X, Y ) = Y }.
% 4.69/5.13 (22062) {G0,W13,D4,L2,V3,M2} { ! class_Groups_Ogroup__add( X ),
% 4.69/5.13 c_Groups_Ominus__class_Ominus( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 4.69/5.13 Y ) ) = c_Groups_Oplus__class_Oplus( X, Z, Y ) }.
% 4.69/5.13 (22063) {G0,W13,D4,L2,V3,M2} { ! class_Groups_Oab__group__add( X ),
% 4.69/5.13 c_Groups_Ominus__class_Ominus( X, Z, Y ) = c_Groups_Oplus__class_Oplus( X
% 4.69/5.13 , Z, c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 4.69/5.13 (22064) {G0,W13,D4,L2,V3,M2} { ! class_Groups_Ogroup__add( X ),
% 4.69/5.13 c_Groups_Ominus__class_Ominus( X, Z, Y ) = c_Groups_Oplus__class_Oplus( X
% 4.69/5.13 , Z, c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 4.69/5.13 (22065) {G0,W18,D4,L2,V3,M2} { !
% 4.69/5.13 class_Groups_Oordered__ab__group__add__abs( X ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 4.69/5.13 c_Groups_Oplus__class_Oplus( X, Z, Y ) ), c_Groups_Oplus__class_Oplus( X
% 4.69/5.13 , c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) )
% 4.69/5.13 ) }.
% 4.69/5.13 (22066) {G0,W18,D4,L2,V3,M2} { !
% 4.69/5.13 class_Groups_Oordered__ab__group__add__abs( X ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X,
% 4.69/5.13 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ),
% 4.69/5.13 c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Y, Z ) )
% 4.69/5.13 ) }.
% 4.69/5.13 (22067) {G0,W18,D4,L2,V3,M2} { !
% 4.69/5.13 class_Groups_Oordered__ab__group__add__abs( X ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X,
% 4.69/5.13 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ),
% 4.69/5.13 c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Z, Y ) )
% 4.69/5.13 ) }.
% 4.69/5.13 (22068) {G0,W20,D5,L2,V3,M2} { !
% 4.69/5.13 class_Groups_Oordered__ab__group__add__abs( X ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 4.69/5.13 c_Groups_Ominus__class_Ominus( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 4.69/5.13 c_Groups_Oabs__class_Oabs( X, Y ) ) ), c_Groups_Oabs__class_Oabs( X,
% 4.69/5.13 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) ) }.
% 4.69/5.13 (22069) {G0,W14,D3,L3,V3,M3} { !
% 4.69/5.13 class_Groups_Oordered__ab__group__add__abs( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 4.69/5.13 Y ), c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) }.
% 4.69/5.13 (22070) {G0,W18,D3,L4,V3,M4} { !
% 4.69/5.13 class_Groups_Oordered__ab__group__add__abs( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 4.69/5.13 , Z ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Groups_Oabs__class_Oabs( X, Z ), Y ) }.
% 4.69/5.13 (22071) {G0,W12,D3,L3,V3,M3} { !
% 4.69/5.13 class_Groups_Oordered__ab__group__add__abs( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 4.69/5.13 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 4.69/5.13 (22072) {G0,W14,D3,L3,V3,M3} { !
% 4.69/5.13 class_Groups_Oordered__ab__group__add__abs( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 4.69/5.13 Y ), c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) }.
% 4.69/5.13 (22073) {G0,W18,D3,L4,V3,M4} { !
% 4.69/5.13 class_Groups_Oordered__ab__group__add__abs( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 4.69/5.13 , Z ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Groups_Oabs__class_Oabs( X, Z ), Y ) }.
% 4.69/5.13 (22074) {G0,W10,D3,L2,V2,M2} { !
% 4.69/5.13 class_Groups_Oordered__ab__group__add__abs( X ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 4.69/5.13 , Y ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 4.69/5.13 (22075) {G0,W10,D4,L1,V1,M1} { c_Orderings_Oord__class_Oless__eq(
% 4.69/5.13 tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 4.69/5.13 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ),
% 4.69/5.13 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ) }.
% 4.69/5.13 (22076) {G0,W20,D3,L4,V3,M4} { ! class_Groups_Oordered__comm__monoid__add
% 4.69/5.13 ( X ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless( X, Z
% 4.69/5.13 , c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 4.69/5.13 c_Groups_Oplus__class_Oplus( X, Y, Z ), c_Groups_Ozero__class_Ozero( X )
% 4.69/5.13 ) }.
% 4.69/5.13 (22077) {G0,W20,D3,L4,V3,M4} { ! class_Groups_Oordered__comm__monoid__add
% 4.69/5.13 ( X ), ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero
% 4.69/5.13 ( X ) ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 4.69/5.13 c_Groups_Oplus__class_Oplus( X, Y, Z ), c_Groups_Ozero__class_Ozero( X )
% 4.69/5.13 ) }.
% 4.69/5.13 (22078) {G0,W18,D3,L4,V4,M4} { ! class_Groups_Oordered__comm__monoid__add
% 4.69/5.13 ( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless( X
% 4.69/5.13 , T, Z ), c_Orderings_Oord__class_Oless( X, T,
% 4.69/5.13 c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 4.69/5.13 (22079) {G0,W18,D3,L4,V4,M4} { ! class_Groups_Oordered__comm__monoid__add
% 4.69/5.13 ( X ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X
% 4.69/5.13 ), Y ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Y, Z
% 4.69/5.13 ) ) }.
% 4.69/5.13 (22080) {G0,W20,D3,L4,V3,M4} { ! class_Groups_Oordered__comm__monoid__add
% 4.69/5.13 ( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless( X
% 4.69/5.13 , c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless( X
% 4.69/5.13 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Z
% 4.69/5.13 ) ) }.
% 4.69/5.13 (22081) {G0,W20,D3,L4,V3,M4} { ! class_Groups_Oordered__comm__monoid__add
% 4.69/5.13 ( X ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X
% 4.69/5.13 ), Y ), ! c_Orderings_Oord__class_Oless__eq( X,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless( X,
% 4.69/5.13 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Z )
% 4.69/5.13 ) }.
% 4.69/5.13 (22082) {G0,W14,D3,L3,V2,M3} { !
% 4.69/5.13 class_Groups_Oordered__ab__group__add__abs( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 4.69/5.13 ), c_Groups_Oabs__class_Oabs( X, Y ) = c_Groups_Ouminus__class_Ouminus(
% 4.69/5.13 X, Y ) }.
% 4.69/5.13 (22083) {G0,W11,D4,L2,V2,M2} { !
% 4.69/5.13 class_Groups_Oordered__ab__group__add__abs( X ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 4.69/5.13 , c_Groups_Oabs__class_Oabs( X, Y ) ), c_Groups_Ozero__class_Ozero( X ) )
% 4.69/5.13 }.
% 4.69/5.13 (22084) {G0,W14,D3,L3,V2,M3} { !
% 4.69/5.13 class_Groups_Oordered__ab__group__add__abs( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 4.69/5.13 c_Groups_Oabs__class_Oabs( X, Y ) = c_Groups_Ouminus__class_Ouminus( X, Y
% 4.69/5.13 ) }.
% 4.69/5.13 (22085) {G0,W14,D3,L3,V2,M3} { ! class_Groups_Oabs__if( X ), !
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 4.69/5.13 c_Groups_Oabs__class_Oabs( X, Y ) = c_Groups_Ouminus__class_Ouminus( X, Y
% 4.69/5.13 ) }.
% 4.69/5.13 (22086) {G0,W12,D3,L3,V2,M3} { ! class_Groups_Oabs__if( X ),
% 4.69/5.13 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 4.69/5.13 c_Groups_Oabs__class_Oabs( X, Y ) = Y }.
% 4.69/5.13 (22087) {G0,W30,D5,L2,V5,M2} { !
% 4.69/5.13 class_Groups_Oordered__ab__group__add__abs( X ),
% 4.69/5.13 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 4.69/5.13 c_Groups_Ominus__class_Ominus( X, c_Groups_Oplus__class_Oplus( X, U, T )
% 4.69/5.13 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) ), c_Groups_Oplus__class_Oplus
% 4.69/5.13 ( X, c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, U, Z
% 4.69/5.13 ) ), c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, T,
% 4.69/5.13 Y ) ) ) ) }.
% 4.69/5.13 (22088) {G0,W16,D6,L2,V1,M2} { ! c_Orderings_Oord__class_Oless__eq(
% 4.69/5.13 tc_Nat_Onat, skol28, X ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal
% 4.69/5.13 , c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.69/5.13 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, v_g____( hAPP(
% 4.69/5.13 v_f____, X ) ), v_z____ ) ), v_d____ ) }.
% 4.69/5.13 (22089) {G0,W11,D4,L2,V2,M2} { ! class_Fields_Ofield( X ),
% 4.69/5.13 c_Rings_Oinverse__class_Oinverse( X, Y ) =
% 4.69/5.13 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X ), Y )
% 4.69/5.13 }.
% 4.69/5.13 (22090) {G0,W11,D3,L2,V3,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, Z, Y ) = c_Groups_Otimes__class_Otimes
% 4.69/5.13 ( X, Y, Z ) }.
% 4.69/5.13 (22091) {G0,W17,D4,L2,V4,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 4.69/5.13 , Y ) ) = c_Groups_Otimes__class_Otimes( X, Z,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 4.69/5.13 (22092) {G0,W17,D4,L2,V4,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 4.69/5.13 , Y ) ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes
% 4.69/5.13 ( X, T, Z ), Y ) }.
% 4.69/5.13 (22093) {G0,W17,D4,L2,V4,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 4.69/5.13 ), Y ) = c_Groups_Otimes__class_Otimes( X, T,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 4.69/5.13 (22094) {G0,W17,D4,L2,V4,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 4.69/5.13 ), Y ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes
% 4.69/5.13 ( X, T, Y ), Z ) }.
% 4.69/5.13 (22095) {G0,W23,D5,L2,V5,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, U, T
% 4.69/5.13 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, U, c_Groups_Otimes__class_Otimes( X, T
% 4.69/5.13 , c_Groups_Otimes__class_Otimes( X, Z, Y ) ) ) }.
% 4.69/5.13 (22096) {G0,W23,D5,L2,V5,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, U, T
% 4.69/5.13 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Otimes__class_Otimes( X,
% 4.69/5.13 c_Groups_Otimes__class_Otimes( X, U, T ), Y ) ) }.
% 4.80/5.13 (22097) {G0,W23,D4,L2,V5,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 4.80/5.13 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, U, T
% 4.80/5.13 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 4.80/5.13 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, U, Z
% 4.80/5.13 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 4.80/5.13 (22098) {G0,W11,D3,L2,V3,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 4.80/5.13 c_Groups_Oplus__class_Oplus( X, Z, Y ) = c_Groups_Oplus__class_Oplus( X,
% 4.80/5.13 Y, Z ) }.
% 4.80/5.13 (22099) {G0,W17,D4,L2,V4,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 4.80/5.13 c_Groups_Oplus__class_Oplus( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y )
% 4.80/5.13 ) = c_Groups_Oplus__class_Oplus( X, Z, c_Groups_Oplus__class_Oplus( X, T
% 4.80/5.13 , Y ) ) }.
% 4.80/5.13 (22100) {G0,W17,D4,L2,V4,M2} { ! class_Rings_Ocomm__semiring__1( X ),
% 4.80/5.13 c_Groups_Oplus__class_Oplus( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y )
% 4.80/5.13 ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X, T, Z
% 4.80/5.13 ), Y ) }.
% 4.80/5.13 (22101) {G0,W2,D2,L1,V0,M1} {
% 4.80/5.13 class_Groups_Oordered__cancel__ab__semigroup__add( tc_Int_Oint ) }.
% 4.80/5.13 (22102) {G0,W2,D2,L1,V0,M1} {
% 4.80/5.13 class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Int_Oint ) }.
% 4.80/5.13 (22103) {G0,W2,D2,L1,V0,M1} {
% 4.80/5.13 class_Rings_Olinordered__comm__semiring__strict( tc_Int_Oint ) }.
% 4.80/5.13 (22104) {G0,W2,D2,L1,V0,M1} { class_Rings_Olinordered__semiring__1__strict
% 4.80/5.13 ( tc_Int_Oint ) }.
% 4.80/5.13 (22105) {G0,W2,D2,L1,V0,M1} { class_Rings_Olinordered__semiring__strict(
% 4.80/5.13 tc_Int_Oint ) }.
% 4.80/5.13 (22106) {G0,W2,D2,L1,V0,M1} { class_Groups_Oordered__ab__semigroup__add(
% 4.80/5.13 tc_Int_Oint ) }.
% 4.80/5.13 (22107) {G0,W2,D2,L1,V0,M1} { class_Groups_Oordered__ab__group__add__abs(
% 4.80/5.13 tc_Int_Oint ) }.
% 4.80/5.13 (22108) {G0,W2,D2,L1,V0,M1} { class_Groups_Oordered__comm__monoid__add(
% 4.80/5.13 tc_Int_Oint ) }.
% 4.80/5.13 (22109) {G0,W2,D2,L1,V0,M1} { class_Groups_Olinordered__ab__group__add(
% 4.80/5.13 tc_Int_Oint ) }.
% 4.80/5.13 (22110) {G0,W2,D2,L1,V0,M1} { class_Groups_Ocancel__ab__semigroup__add(
% 4.80/5.13 tc_Int_Oint ) }.
% 4.80/5.13 (22111) {G0,W2,D2,L1,V0,M1} { class_Rings_Oring__1__no__zero__divisors(
% 4.80/5.13 tc_Int_Oint ) }.
% 4.80/5.13 (22112) {G0,W2,D2,L1,V0,M1} { class_Rings_Oordered__cancel__semiring(
% 4.80/5.13 tc_Int_Oint ) }.
% 4.80/5.13 (22113) {G0,W2,D2,L1,V0,M1} { class_Rings_Olinordered__ring__strict(
% 4.80/5.13 tc_Int_Oint ) }.
% 4.80/5.13 (22114) {G0,W2,D2,L1,V0,M1} { class_Rings_Oring__no__zero__divisors(
% 4.80/5.13 tc_Int_Oint ) }.
% 4.80/5.13 (22115) {G0,W2,D2,L1,V0,M1} { class_Rings_Oordered__comm__semiring(
% 4.80/5.13 tc_Int_Oint ) }.
% 4.80/5.13 (22116) {G0,W2,D2,L1,V0,M1} { class_Rings_Olinordered__semiring__1(
% 4.80/5.13 tc_Int_Oint ) }.
% 4.80/5.13 (22117) {G0,W2,D2,L1,V0,M1} { class_Groups_Oordered__ab__group__add(
% 4.80/5.13 tc_Int_Oint ) }.
% 4.80/5.13 (22118) {G0,W2,D2,L1,V0,M1} { class_Groups_Ocancel__semigroup__add(
% 4.80/5.13 tc_Int_Oint ) }.
% 4.80/5.13 (22119) {G0,W2,D2,L1,V0,M1} { class_Rings_Olinordered__semiring(
% 4.80/5.13 tc_Int_Oint ) }.
% 4.80/5.13 (22120) {G0,W2,D2,L1,V0,M1} { class_Rings_Olinordered__semidom(
% 4.80/5.13 tc_Int_Oint ) }.
% 4.80/5.13 (22121) {G0,W2,D2,L1,V0,M1} { class_Groups_Oab__semigroup__mult(
% 4.80/5.13 tc_Int_Oint ) }.
% 4.80/5.13 (22122) {G0,W2,D2,L1,V0,M1} { class_Groups_Ocomm__monoid__mult(
% 4.80/5.13 tc_Int_Oint ) }.
% 4.80/5.13 (22123) {G0,W2,D2,L1,V0,M1} { class_Groups_Oab__semigroup__add(
% 4.80/5.13 tc_Int_Oint ) }.
% 4.80/5.13 (22124) {G0,W2,D2,L1,V0,M1} { class_Rings_Oordered__semiring( tc_Int_Oint
% 4.80/5.13 ) }.
% 4.80/5.13 (22125) {G0,W2,D2,L1,V0,M1} { class_Rings_Oordered__ring__abs( tc_Int_Oint
% 4.80/5.13 ) }.
% 4.80/5.13 (22126) {G0,W2,D2,L1,V0,M1} { class_Rings_Ono__zero__divisors( tc_Int_Oint
% 4.80/5.13 ) }.
% 4.80/5.13 (22127) {G0,W2,D2,L1,V0,M1} { class_Groups_Ocomm__monoid__add( tc_Int_Oint
% 4.80/5.13 ) }.
% 4.80/5.13 (22128) {G0,W2,D2,L1,V0,M1} { class_Rings_Olinordered__ring( tc_Int_Oint )
% 4.80/5.13 }.
% 4.80/5.13 (22129) {G0,W2,D2,L1,V0,M1} { class_Rings_Olinordered__idom( tc_Int_Oint )
% 4.80/5.13 }.
% 4.80/5.13 (22130) {G0,W2,D2,L1,V0,M1} { class_Rings_Ocomm__semiring__1( tc_Int_Oint
% 4.80/5.13 ) }.
% 4.80/5.13 (22131) {G0,W2,D2,L1,V0,M1} { class_Rings_Ocomm__semiring( tc_Int_Oint )
% 4.80/5.13 }.
% 4.80/5.13 (22132) {G0,W2,D2,L1,V0,M1} { class_Groups_Oab__group__add( tc_Int_Oint )
% 4.80/5.13 }.
% 4.80/5.13 (22133) {G0,W2,D2,L1,V0,M1} { class_Rings_Ozero__neq__one( tc_Int_Oint )
% 4.80/5.13 }.
% 4.80/5.13 (22134) {G0,W2,D2,L1,V0,M1} { class_Rings_Oordered__ring( tc_Int_Oint )
% 4.80/5.13 }.
% 4.80/5.13 (22135) {G0,W2,D2,L1,V0,M1} { class_Orderings_Olinorder( tc_Int_Oint ) }.
% 4.80/5.13 (22136) {G0,W2,D2,L1,V0,M1} { class_Groups_Omonoid__mult( tc_Int_Oint )
% 4.80/5.13 }.
% 4.80/5.13 (22137) {G0,W2,D2,L1,V0,M1} { class_Groups_Omonoid__add( tc_Int_Oint ) }.
% 4.80/5.13 (22138) {G0,W2,D2,L1,V0,M1} { class_Groups_Ogroup__add( tc_Int_Oint ) }.
% 4.80/5.13 (22139) {G0,W2,D2,L1,V0,M1} { class_Rings_Omult__zero( tc_Int_Oint ) }.
% 4.80/5.13 (22140) {G0,W2,D2,L1,V0,M1} { class_Int_Oring__char__0( tc_Int_Oint ) }.
% 4.80/5.13 (22141) {G0,W2,D2,L1,V0,M1} { class_Int_Onumber__ring( tc_Int_Oint ) }.
% 4.80/5.13 (22142) {G0,W2,D2,L1,V0,M1} { class_Rings_Osemiring( tc_Int_Oint ) }.
% 4.80/5.13 (22143) {G0,W2,D2,L1,V0,M1} { class_Groups_Oabs__if( tc_Int_Oint ) }.
% 4.80/5.13 (22144) {G0,W2,D2,L1,V0,M1} { class_Rings_Oring__1( tc_Int_Oint ) }.
% 4.80/5.13 (22145) {G0,W2,D2,L1,V0,M1} { class_Groups_Ozero( tc_Int_Oint ) }.
% 4.80/5.13 (22146) {G0,W2,D2,L1,V0,M1} { class_Rings_Oring( tc_Int_Oint ) }.
% 4.80/5.13 (22147) {G0,W2,D2,L1,V0,M1} { class_Rings_Oidom( tc_Int_Oint ) }.
% 4.80/5.13 (22148) {G0,W2,D2,L1,V0,M1} { class_Int_Onumber( tc_Int_Oint ) }.
% 4.80/5.13 (22149) {G0,W2,D2,L1,V0,M1} { class_Groups_Oone( tc_Int_Oint ) }.
% 4.80/5.13 (22150) {G0,W2,D2,L1,V0,M1} {
% 4.80/5.13 class_Groups_Oordered__cancel__ab__semigroup__add( tc_Nat_Onat ) }.
% 4.80/5.13 (22151) {G0,W2,D2,L1,V0,M1} {
% 4.80/5.13 class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Nat_Onat ) }.
% 4.80/5.13 (22152) {G0,W2,D2,L1,V0,M1} {
% 4.80/5.13 class_Rings_Olinordered__comm__semiring__strict( tc_Nat_Onat ) }.
% 4.80/5.13 (22153) {G0,W2,D2,L1,V0,M1} { class_Rings_Olinordered__semiring__strict(
% 4.80/5.13 tc_Nat_Onat ) }.
% 4.80/5.13 (22154) {G0,W2,D2,L1,V0,M1} { class_Groups_Oordered__ab__semigroup__add(
% 4.80/5.13 tc_Nat_Onat ) }.
% 4.80/5.13 (22155) {G0,W2,D2,L1,V0,M1} { class_Groups_Oordered__comm__monoid__add(
% 4.80/5.13 tc_Nat_Onat ) }.
% 4.80/5.13 (22156) {G0,W2,D2,L1,V0,M1} { class_Groups_Ocancel__ab__semigroup__add(
% 4.80/5.13 tc_Nat_Onat ) }.
% 4.80/5.13 (22157) {G0,W2,D2,L1,V0,M1} { class_Rings_Oordered__cancel__semiring(
% 4.80/5.13 tc_Nat_Onat ) }.
% 4.80/5.13 (22158) {G0,W2,D2,L1,V0,M1} { class_Rings_Oordered__comm__semiring(
% 4.80/5.13 tc_Nat_Onat ) }.
% 4.80/5.13 (22159) {G0,W2,D2,L1,V0,M1} { class_Groups_Ocancel__semigroup__add(
% 4.80/5.13 tc_Nat_Onat ) }.
% 4.80/5.13 (22160) {G0,W2,D2,L1,V0,M1} { class_Rings_Olinordered__semiring(
% 4.80/5.13 tc_Nat_Onat ) }.
% 4.80/5.13 (22161) {G0,W2,D2,L1,V0,M1} { class_Rings_Olinordered__semidom(
% 4.80/5.13 tc_Nat_Onat ) }.
% 4.80/5.13 (22162) {G0,W2,D2,L1,V0,M1} { class_Groups_Oab__semigroup__mult(
% 4.80/5.13 tc_Nat_Onat ) }.
% 4.80/5.13 (22163) {G0,W2,D2,L1,V0,M1} { class_Groups_Ocomm__monoid__mult(
% 4.80/5.13 tc_Nat_Onat ) }.
% 4.80/5.13 (22164) {G0,W2,D2,L1,V0,M1} { class_Groups_Oab__semigroup__add(
% 4.80/5.13 tc_Nat_Onat ) }.
% 4.80/5.13 (22165) {G0,W2,D2,L1,V0,M1} { class_Rings_Oordered__semiring( tc_Nat_Onat
% 4.80/5.13 ) }.
% 4.80/5.13 (22166) {G0,W2,D2,L1,V0,M1} { class_Rings_Ono__zero__divisors( tc_Nat_Onat
% 4.80/5.13 ) }.
% 4.80/5.13 (22167) {G0,W2,D2,L1,V0,M1} { class_Groups_Ocomm__monoid__add( tc_Nat_Onat
% 4.80/5.13 ) }.
% 4.80/5.13 (22168) {G0,W2,D2,L1,V0,M1} { class_Rings_Ocomm__semiring__1( tc_Nat_Onat
% 4.80/5.13 ) }.
% 4.80/5.13 (22169) {G0,W2,D2,L1,V0,M1} { class_Rings_Ocomm__semiring( tc_Nat_Onat )
% 4.80/5.13 }.
% 4.80/5.13 (22170) {G0,W2,D2,L1,V0,M1} { class_Rings_Ozero__neq__one( tc_Nat_Onat )
% 4.80/5.13 }.
% 4.80/5.13 (22171) {G0,W2,D2,L1,V0,M1} { class_Orderings_Olinorder( tc_Nat_Onat ) }.
% 4.80/5.13 (22172) {G0,W2,D2,L1,V0,M1} { class_Groups_Omonoid__mult( tc_Nat_Onat )
% 4.80/5.13 }.
% 4.80/5.13 (22173) {G0,W2,D2,L1,V0,M1} { class_Groups_Omonoid__add( tc_Nat_Onat ) }.
% 4.80/5.13 (22174) {G0,W2,D2,L1,V0,M1} { class_Rings_Omult__zero( tc_Nat_Onat ) }.
% 4.80/5.13 (22175) {G0,W2,D2,L1,V0,M1} { class_Rings_Osemiring( tc_Nat_Onat ) }.
% 4.80/5.13 (22176) {G0,W2,D2,L1,V0,M1} { class_Groups_Ozero( tc_Nat_Onat ) }.
% 4.80/5.13 (22177) {G0,W2,D2,L1,V0,M1} { class_Int_Onumber( tc_Nat_Onat ) }.
% 4.80/5.13 (22178) {G0,W2,D2,L1,V0,M1} { class_Groups_Oone( tc_Nat_Onat ) }.
% 4.80/5.13 (22179) {G0,W2,D2,L1,V0,M1} {
% 4.80/5.13 class_Groups_Oordered__cancel__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 4.80/5.13 (22180) {G0,W2,D2,L1,V0,M1} {
% 4.80/5.13 class_Groups_Oordered__ab__semigroup__add__imp__le( tc_RealDef_Oreal )
% 4.80/5.13 }.
% 4.80/5.13 (22181) {G0,W2,D2,L1,V0,M1} {
% 4.80/5.13 class_Rings_Olinordered__comm__semiring__strict( tc_RealDef_Oreal ) }.
% 4.80/5.13 (22182) {G0,W2,D2,L1,V0,M1} {
% 4.80/5.13 class_Fields_Olinordered__field__inverse__zero( tc_RealDef_Oreal ) }.
% 4.80/5.13 (22183) {G0,W2,D2,L1,V0,M1} { class_Rings_Olinordered__semiring__1__strict
% 4.80/5.13 ( tc_RealDef_Oreal ) }.
% 4.80/5.13 (22184) {G0,W2,D2,L1,V0,M1} { class_RealVector_Oreal__normed__div__algebra
% 4.80/5.13 ( tc_RealDef_Oreal ) }.
% 4.80/5.13 (22185) {G0,W2,D2,L1,V0,M1} { class_Rings_Olinordered__semiring__strict(
% 4.80/5.13 tc_RealDef_Oreal ) }.
% 4.80/5.13 (22186) {G0,W2,D2,L1,V0,M1} { class_Rings_Odivision__ring__inverse__zero(
% 4.80/5.13 tc_RealDef_Oreal ) }.
% 4.80/5.13 (22187) {G0,W2,D2,L1,V0,M1} { class_RealVector_Oreal__normed__algebra__1(
% 4.80/5.13 tc_RealDef_Oreal ) }.
% 4.80/5.13 (22188) {G0,W2,D2,L1,V0,M1} { class_Groups_Oordered__ab__semigroup__add(
% 4.80/5.13 tc_RealDef_Oreal ) }.
% 4.80/5.13 (22189) {G0,W2,D2,L1,V0,M1} { class_Groups_Oordered__ab__group__add__abs(
% 4.80/5.13 tc_RealDef_Oreal ) }.
% 4.80/5.13 (22190) {G0,W2,D2,L1,V0,M1} { class_RealVector_Oreal__normed__algebra(
% 4.80/5.13 tc_RealDef_Oreal ) }.
% 4.80/5.13 (22191) {G0,W2,D2,L1,V0,M1} { class_Groups_Oordered__comm__monoid__add(
% 4.80/5.13 tc_RealDef_Oreal ) }.
% 4.80/5.13 (22192) {G0,W2,D2,L1,V0,M1} { class_Groups_Olinordered__ab__group__add(
% 4.80/5.13 tc_RealDef_Oreal ) }.
% 4.80/5.13 (22193) {G0,W2,D2,L1,V0,M1} { class_Groups_Ocancel__ab__semigroup__add(
% 4.80/5.13 tc_RealDef_Oreal ) }.
% 4.80/5.13 (22194) {G0,W2,D2,L1,V0,M1} { class_Rings_Oring__1__no__zero__divisors(
% 4.80/5.13 tc_RealDef_Oreal ) }.
% 4.80/5.13 (22195) {G0,W2,D2,L1,V0,M1} { class_Rings_Oordered__cancel__semiring(
% 4.80/5.13 tc_RealDef_Oreal ) }.
% 4.80/5.13 (22196) {G0,W2,D2,L1,V0,M1} { class_RealVector_Oreal__normed__vector(
% 4.80/5.13 tc_RealDef_Oreal ) }.
% 4.80/5.13 (22197) {G0,W2,D2,L1,V0,M1} { class_Rings_Olinordered__ring__strict(
% 4.80/5.13 tc_RealDef_Oreal ) }.
% 4.80/5.13 (22198) {G0,W2,D2,L1,V0,M1} { class_RealVector_Oreal__normed__field(
% 4.80/5.13 tc_RealDef_Oreal ) }.
% 4.80/5.13 (22199) {G0,W2,D2,L1,V0,M1} { class_Rings_Oring__no__zero__divisors(
% 4.80/5.13 tc_RealDef_Oreal ) }.
% 4.80/5.13 (22200) {G0,W2,D2,L1,V0,M1} { class_Rings_Oordered__comm__semiring(
% 4.80/5.13 tc_RealDef_Oreal ) }.
% 4.80/5.13 (22201) {G0,W2,D2,L1,V0,M1} { class_Rings_Olinordered__semiring__1(
% 4.80/5.13 tc_RealDef_Oreal ) }.
% 4.80/5.13 (22202) {G0,W2,D2,L1,V0,M1} { class_Groups_Oordered__ab__group__add(
% 4.80/5.13 tc_RealDef_Oreal ) }.
% 4.80/5.13 (22203) {G0,W2,D2,L1,V0,M1} { class_Groups_Ocancel__semigroup__add(
% 4.80/5.13 tc_RealDef_Oreal ) }.
% 4.80/5.13 (22204) {G0,W2,D2,L1,V0,M1} { class_Rings_Olinordered__semiring(
% 4.80/5.13 tc_RealDef_Oreal ) }.
% 4.80/5.13 (22205) {G0,W2,D2,L1,V0,M1} { class_Fields_Ofield__inverse__zero(
% 4.80/5.13 tc_RealDef_Oreal ) }.
% 4.80/5.13 (22206) {G0,W2,D2,L1,V0,M1} { class_Rings_Olinordered__semidom(
% 4.80/5.13 tc_RealDef_Oreal ) }.
% 4.80/5.13 (22207) {G0,W2,D2,L1,V0,M1} { class_Groups_Oab__semigroup__mult(
% 4.80/5.13 tc_RealDef_Oreal ) }.
% 4.80/5.13 (22208) {G0,W2,D2,L1,V0,M1} { class_Groups_Ocomm__monoid__mult(
% 4.80/5.13 tc_RealDef_Oreal ) }.
% 4.80/5.13 (22209) {G0,W2,D2,L1,V0,M1} { class_Groups_Oab__semigroup__add(
% 4.80/5.13 tc_RealDef_Oreal ) }.
% 4.80/5.13 (22210) {G0,W2,D2,L1,V0,M1} { class_Fields_Olinordered__field(
% 4.80/5.13 tc_RealDef_Oreal ) }.
% 4.80/5.13 (22211) {G0,W2,D2,L1,V0,M1} { class_Rings_Oordered__semiring(
% 4.80/5.13 tc_RealDef_Oreal ) }.
% 4.80/5.13 (22212) {G0,W2,D2,L1,V0,M1} { class_Rings_Oordered__ring__abs(
% 4.80/5.13 tc_RealDef_Oreal ) }.
% 4.80/5.13 (22213) {G0,W2,D2,L1,V0,M1} { class_Rings_Ono__zero__divisors(
% 4.80/5.13 tc_RealDef_Oreal ) }.
% 4.80/5.13 (22214) {G0,W2,D2,L1,V0,M1} { class_Groups_Ocomm__monoid__add(
% 4.80/5.13 tc_RealDef_Oreal ) }.
% 4.80/5.13 (22215) {G0,W2,D2,L1,V0,M1} { class_Rings_Olinordered__ring(
% 4.80/5.13 tc_RealDef_Oreal ) }.
% 4.80/5.13 (22216) {G0,W2,D2,L1,V0,M1} { class_Rings_Olinordered__idom(
% 4.80/5.13 tc_RealDef_Oreal ) }.
% 4.80/5.13 (22217) {G0,W2,D2,L1,V0,M1} { class_Rings_Ocomm__semiring__1(
% 4.80/5.13 tc_RealDef_Oreal ) }.
% 4.80/5.13 (22218) {G0,W2,D2,L1,V0,M1} { class_RealVector_Oreal__field(
% 4.80/5.13 tc_RealDef_Oreal ) }.
% 4.80/5.13 (22219) {G0,W2,D2,L1,V0,M1} { class_Rings_Odivision__ring(
% 4.80/5.13 tc_RealDef_Oreal ) }.
% 4.80/5.13 (22220) {G0,W2,D2,L1,V0,M1} { class_Rings_Ocomm__semiring(
% 4.80/5.13 tc_RealDef_Oreal ) }.
% 4.80/5.13 (22221) {G0,W2,D2,L1,V0,M1} { class_Groups_Oab__group__add(
% 4.80/5.13 tc_RealDef_Oreal ) }.
% 4.80/5.13 (22222) {G0,W2,D2,L1,V0,M1} { class_Rings_Ozero__neq__one(
% 4.80/5.13 tc_RealDef_Oreal ) }.
% 4.80/5.13 (22223) {G0,W2,D2,L1,V0,M1} { class_Rings_Oordered__ring( tc_RealDef_Oreal
% 4.80/5.13 ) }.
% 4.80/5.13 (22224) {G0,W2,D2,L1,V0,M1} { class_Orderings_Olinorder( tc_RealDef_Oreal
% 4.80/5.13 ) }.
% 4.80/5.13 (22225) {G0,W2,D2,L1,V0,M1} { class_Groups_Omonoid__mult( tc_RealDef_Oreal
% 4.80/5.13 ) }.
% 4.80/5.13 (22226) {G0,W2,D2,L1,V0,M1} { class_Groups_Omonoid__add( tc_RealDef_Oreal
% 4.80/5.13 ) }.
% 4.80/5.13 (22227) {G0,W2,D2,L1,V0,M1} { class_Groups_Ogroup__add( tc_RealDef_Oreal )
% 4.80/5.13 }.
% 4.80/5.13 (22228) {G0,W2,D2,L1,V0,M1} { class_Rings_Omult__zero( tc_RealDef_Oreal )
% 4.80/5.13 }.
% 4.80/5.13 (22229) {G0,W2,D2,L1,V0,M1} { class_Int_Oring__char__0( tc_RealDef_Oreal )
% 4.80/5.13 }.
% 4.80/5.13 (22230) {G0,W2,D2,L1,V0,M1} { class_Int_Onumber__ring( tc_RealDef_Oreal )
% 4.80/5.13 }.
% 4.80/5.13 (22231) {G0,W2,D2,L1,V0,M1} { class_Rings_Osemiring( tc_RealDef_Oreal )
% 4.80/5.13 }.
% 4.80/5.13 (22232) {G0,W2,D2,L1,V0,M1} { class_Groups_Oabs__if( tc_RealDef_Oreal )
% 4.80/5.13 }.
% 4.80/5.13 (22233) {G0,W2,D2,L1,V0,M1} { class_Rings_Oring__1( tc_RealDef_Oreal ) }.
% 4.80/5.13 (22234) {G0,W2,D2,L1,V0,M1} { class_Fields_Ofield( tc_RealDef_Oreal ) }.
% 4.80/5.13 (22235) {G0,W2,D2,L1,V0,M1} { class_Groups_Ozero( tc_RealDef_Oreal ) }.
% 4.80/5.13 (22236) {G0,W2,D2,L1,V0,M1} { class_Rings_Oring( tc_RealDef_Oreal ) }.
% 4.80/5.13 (22237) {G0,W2,D2,L1,V0,M1} { class_Rings_Oidom( tc_RealDef_Oreal ) }.
% 4.80/5.13 (22238) {G0,W2,D2,L1,V0,M1} { class_Int_Onumber( tc_RealDef_Oreal ) }.
% 4.80/5.13 (22239) {G0,W2,D2,L1,V0,M1} { class_Groups_Oone( tc_RealDef_Oreal ) }.
% 4.80/5.13 (22240) {G0,W2,D2,L1,V0,M1} { class_RealVector_Oreal__normed__div__algebra
% 4.80/5.13 ( tc_Complex_Ocomplex ) }.
% 4.80/5.13 (22241) {G0,W2,D2,L1,V0,M1} { class_Rings_Odivision__ring__inverse__zero(
% 4.80/5.13 tc_Complex_Ocomplex ) }.
% 4.80/5.13 (22242) {G0,W2,D2,L1,V0,M1} { class_RealVector_Oreal__normed__algebra__1(
% 4.80/5.13 tc_Complex_Ocomplex ) }.
% 4.80/5.13 (22243) {G0,W2,D2,L1,V0,M1} { class_RealVector_Oreal__normed__algebra(
% 4.80/5.13 tc_Complex_Ocomplex ) }.
% 4.80/5.13 (22244) {G0,W2,D2,L1,V0,M1} { class_Groups_Ocancel__ab__semigroup__add(
% 4.80/5.13 tc_Complex_Ocomplex ) }.
% 4.80/5.13 (22245) {G0,W2,D2,L1,V0,M1} { class_Rings_Oring__1__no__zero__divisors(
% 4.80/5.13 tc_Complex_Ocomplex ) }.
% 4.80/5.13 (22246) {G0,W2,D2,L1,V0,M1} { class_RealVector_Oreal__normed__vector(
% 4.80/5.13 tc_Complex_Ocomplex ) }.
% 4.80/5.13 (22247) {G0,W2,D2,L1,V0,M1} { class_RealVector_Oreal__normed__field(
% 4.80/5.13 tc_Complex_Ocomplex ) }.
% 4.80/5.13 (22248) {G0,W2,D2,L1,V0,M1} { class_Rings_Oring__no__zero__divisors(
% 4.80/5.13 tc_Complex_Ocomplex ) }.
% 4.80/5.13 (22249) {G0,W2,D2,L1,V0,M1} { class_Groups_Ocancel__semigroup__add(
% 4.80/5.13 tc_Complex_Ocomplex ) }.
% 4.80/5.13 (22250) {G0,W2,D2,L1,V0,M1} { class_Fields_Ofield__inverse__zero(
% 4.80/5.13 tc_Complex_Ocomplex ) }.
% 4.80/5.13 (22251) {G0,W2,D2,L1,V0,M1} { class_Groups_Oab__semigroup__mult(
% 4.80/5.13 tc_Complex_Ocomplex ) }.
% 4.80/5.13 (22252) {G0,W2,D2,L1,V0,M1} { class_Groups_Ocomm__monoid__mult(
% 4.80/5.13 tc_Complex_Ocomplex ) }.
% 4.80/5.13 (22253) {G0,W2,D2,L1,V0,M1} { class_Groups_Oab__semigroup__add(
% 4.80/5.13 tc_Complex_Ocomplex ) }.
% 4.80/5.13 (22254) {G0,W2,D2,L1,V0,M1} { class_Rings_Ono__zero__divisors(
% 4.80/5.13 tc_Complex_Ocomplex ) }.
% 4.80/5.13 (22255) {G0,W2,D2,L1,V0,M1} { class_Groups_Ocomm__monoid__add(
% 4.80/5.13 tc_Complex_Ocomplex ) }.
% 4.80/5.13 (22256) {G0,W2,D2,L1,V0,M1} { class_Rings_Ocomm__semiring__1(
% 4.80/5.13 tc_Complex_Ocomplex ) }.
% 4.80/5.13 (22257) {G0,W2,D2,L1,V0,M1} { class_RealVector_Oreal__field(
% 4.80/5.13 tc_Complex_Ocomplex ) }.
% 4.80/5.13 (22258) {G0,W2,D2,L1,V0,M1} { class_Rings_Odivision__ring(
% 4.80/5.13 tc_Complex_Ocomplex ) }.
% 4.80/5.13 (22259) {G0,W2,D2,L1,V0,M1} { class_Rings_Ocomm__semiring(
% 4.80/5.13 tc_Complex_Ocomplex ) }.
% 4.80/5.13 (22260) {G0,W2,D2,L1,V0,M1} { class_Groups_Oab__group__add(
% 4.80/5.13 tc_Complex_Ocomplex ) }.
% 4.80/5.13 (22261) {G0,W2,D2,L1,V0,M1} { class_Rings_Ozero__neq__one(
% 4.80/5.13 tc_Complex_Ocomplex ) }.
% 4.80/5.13 (22262) {G0,W2,D2,L1,V0,M1} { class_Groups_Omonoid__mult(
% 4.80/5.13 tc_Complex_Ocomplex ) }.
% 4.80/5.13 (22263) {G0,W2,D2,L1,V0,M1} { class_Groups_Omonoid__add(
% 4.80/5.13 tc_Complex_Ocomplex ) }.
% 4.80/5.13 (22264) {G0,W2,D2,L1,V0,M1} { class_Groups_Ogroup__add(
% 4.80/5.13 tc_Complex_Ocomplex ) }.
% 4.80/5.13 (22265) {G0,W2,D2,L1,V0,M1} { class_Rings_Omult__zero( tc_Complex_Ocomplex
% 4.80/5.13 ) }.
% 4.80/5.13 (22266) {G0,W2,D2,L1,V0,M1} { class_Int_Oring__char__0(
% 4.80/5.13 tc_Complex_Ocomplex ) }.
% 4.80/5.13 (22267) {G0,W2,D2,L1,V0,M1} { class_Int_Onumber__ring( tc_Complex_Ocomplex
% 4.80/5.13 ) }.
% 4.80/5.13 (22268) {G0,W2,D2,L1,V0,M1} { class_Rings_Osemiring( tc_Complex_Ocomplex )
% 4.80/5.13 }.
% 4.80/5.13 (22269) {G0,W2,D2,L1,V0,M1} { class_Rings_Oring__1( tc_Complex_Ocomplex )
% 4.80/5.13 }.
% 4.80/5.13 (22270) {G0,W2,D2,L1,V0,M1} { class_Fields_Ofield( tc_Complex_Ocomplex )
% 4.80/5.13 }.
% 4.80/5.13 (22271) {G0,W2,D2,L1,V0,M1} { class_Groups_Ozero( tc_Complex_Ocomplex )
% 4.80/5.13 }.
% 4.80/5.13 (22272) {G0,W2,D2,L1,V0,M1} { class_Rings_Oring( tc_Complex_Ocomplex ) }.
% 4.80/5.13 (22273) {G0,W2,D2,L1,V0,M1} { class_Rings_Oidom( tc_Complex_Ocomplex ) }.
% 4.80/5.13 (22274) {G0,W2,D2,L1,V0,M1} { class_Int_Onumber( tc_Complex_Ocomplex ) }.
% 4.80/5.13 (22275) {G0,W2,D2,L1,V0,M1} { class_Groups_Oone( tc_Complex_Ocomplex ) }.
% 4.80/5.13 (22276) {G0,W68,D10,L1,V0,M1} { ! c_Orderings_Oord__class_Oless__eq(
% 4.80/5.13 tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 4.80/5.13 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 4.80/5.13 c_Int_OBit1( c_Int_OPls ) ) ), c_Rings_Oinverse__class_Odivide(
% 4.80/5.13 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.80/5.13 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.80/5.13 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.80/5.13 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 4.80/5.13 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Int_Onumber__class_Onumber__of(
% 4.80/5.13 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ),
% 4.80/5.13 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs
% 4.80/5.13 ( tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.80/5.13 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.80/5.13 ( tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 4.80/5.13 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ),
% 4.80/5.13 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) ),
% 4.80/5.13 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.80/5.13 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 4.80/5.13 tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 4.80/5.13 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ),
% 4.80/5.13 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, v_z____ ) ) ) ) ) }.
% 4.80/5.13
% 4.80/5.13
% 4.80/5.13 Total Proof:
% 4.80/5.13
% 4.80/5.13 subsumption: (1) {G0,W26,D5,L2,V4,M2} I { !
% 4.80/5.13 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.80/5.13 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.80/5.13 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Z, Y ) ), X ),
% 4.80/5.13 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.80/5.13 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.80/5.13 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, T ) ),
% 4.80/5.13 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs
% 4.80/5.13 ( tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Z, T
% 4.80/5.13 ) ), X ) ) }.
% 4.80/5.13 parent0: (20404) {G0,W26,D5,L2,V4,M2} { !
% 4.80/5.13 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.80/5.13 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.80/5.13 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Z, Y ) ), X ),
% 4.80/5.13 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.80/5.13 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.80/5.13 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, T ) ),
% 4.80/5.13 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs
% 4.80/5.13 ( tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Z, T
% 4.80/5.13 ) ), X ) ) }.
% 4.80/5.13 substitution0:
% 4.80/5.13 X := X
% 4.80/5.13 Y := Y
% 4.80/5.13 Z := Z
% 4.80/5.13 T := T
% 4.80/5.13 end
% 4.80/5.13 permutation0:
% 4.80/5.13 0 ==> 0
% 4.80/5.13 1 ==> 1
% 4.80/5.13 end
% 4.80/5.13
% 4.80/5.13 subsumption: (4) {G0,W42,D9,L1,V0,M1} I { c_Orderings_Oord__class_Oless__eq
% 4.80/5.13 ( tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.80/5.13 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.80/5.13 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.80/5.13 ( tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 4.80/5.13 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ),
% 4.80/5.13 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.80/5.13 ( tc_Complex_Ocomplex, v_p, v_z____ ) ) ) ),
% 4.80/5.13 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.80/5.13 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 4.80/5.13 tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 4.80/5.13 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ),
% 4.80/5.13 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, v_z____ ) ) ) ) }.
% 4.80/5.13 parent0: (20408) {G0,W42,D9,L1,V0,M1} { c_Orderings_Oord__class_Oless__eq
% 4.80/5.13 ( tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.80/5.13 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.80/5.13 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.80/5.13 ( tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 4.80/5.13 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ),
% 4.80/5.13 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.80/5.13 ( tc_Complex_Ocomplex, v_p, v_z____ ) ) ) ),
% 4.80/5.13 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.80/5.13 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 4.80/5.13 tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 4.80/5.13 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ),
% 4.80/5.13 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, v_z____ ) ) ) ) }.
% 4.80/5.13 substitution0:
% 4.80/5.13 end
% 4.80/5.13 permutation0:
% 4.80/5.13 0 ==> 0
% 4.80/5.13 end
% 4.80/5.13
% 4.80/5.13 subsumption: (11) {G0,W20,D7,L1,V1,M1} I { c_Groups_Oplus__class_Oplus(
% 4.80/5.13 tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X,
% 4.80/5.13 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 4.80/5.13 c_Int_OBit1( c_Int_OPls ) ) ) ), c_Rings_Oinverse__class_Odivide(
% 4.80/5.13 tc_RealDef_Oreal, X, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 4.80/5.13 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ==> X }.
% 4.80/5.13 parent0: (20415) {G0,W20,D7,L1,V1,M1} { c_Groups_Oplus__class_Oplus(
% 4.80/5.13 tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X,
% 4.80/5.13 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 4.80/5.13 c_Int_OBit1( c_Int_OPls ) ) ) ), c_Rings_Oinverse__class_Odivide(
% 4.80/5.13 tc_RealDef_Oreal, X, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 4.80/5.13 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) = X }.
% 4.80/5.13 substitution0:
% 4.80/5.13 X := X
% 4.80/5.13 end
% 4.80/5.13 permutation0:
% 4.80/5.14 0 ==> 0
% 4.80/5.14 end
% 4.80/5.14
% 4.80/5.14 subsumption: (15) {G0,W15,D6,L2,V2,M2} I { ! class_Int_Onumber__ring( X ),
% 4.80/5.14 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 4.80/5.14 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ), Y ) =
% 4.80/5.14 c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 4.80/5.14 parent0: (20419) {G0,W15,D6,L2,V2,M2} { ! class_Int_Onumber__ring( X ),
% 4.80/5.14 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 4.80/5.14 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ), Y ) =
% 4.80/5.14 c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 4.80/5.14 substitution0:
% 4.80/5.14 X := X
% 4.80/5.14 Y := Y
% 4.80/5.14 end
% 4.80/5.14 permutation0:
% 4.80/5.14 0 ==> 0
% 4.80/5.14 1 ==> 1
% 4.80/5.14 end
% 4.80/5.14
% 4.80/5.14 subsumption: (1588) {G0,W2,D2,L1,V0,M1} I { class_Int_Onumber__ring(
% 4.80/5.14 tc_RealDef_Oreal ) }.
% 4.80/5.14 parent0: (22230) {G0,W2,D2,L1,V0,M1} { class_Int_Onumber__ring(
% 4.80/5.14 tc_RealDef_Oreal ) }.
% 4.80/5.14 substitution0:
% 4.80/5.14 end
% 4.80/5.14 permutation0:
% 4.80/5.14 0 ==> 0
% 4.80/5.14 end
% 4.80/5.14
% 4.80/5.14 *** allocated 1946160 integers for clauses
% 4.80/5.14 subsumption: (1634) {G0,W68,D10,L1,V0,M1} I { !
% 4.80/5.14 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.80/5.14 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 4.80/5.14 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 4.80/5.14 c_Int_OBit1( c_Int_OPls ) ) ), c_Rings_Oinverse__class_Odivide(
% 4.80/5.14 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.80/5.14 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.80/5.14 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.80/5.14 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 4.80/5.14 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Int_Onumber__class_Onumber__of(
% 4.80/5.14 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ),
% 4.80/5.14 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs
% 4.80/5.14 ( tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.80/5.14 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.80/5.14 ( tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 4.80/5.14 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ),
% 4.80/5.14 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) ),
% 4.80/5.14 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.80/5.14 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 4.80/5.14 tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 4.80/5.14 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ),
% 4.80/5.14 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, v_z____ ) ) ) ) ) }.
% 4.80/5.14 parent0: (22276) {G0,W68,D10,L1,V0,M1} { !
% 4.80/5.14 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.80/5.14 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 4.80/5.14 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 4.80/5.14 c_Int_OBit1( c_Int_OPls ) ) ), c_Rings_Oinverse__class_Odivide(
% 4.80/5.14 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.80/5.14 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.80/5.14 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.80/5.14 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 4.80/5.14 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Int_Onumber__class_Onumber__of(
% 4.80/5.14 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ),
% 4.80/5.14 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs
% 4.80/5.14 ( tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.80/5.14 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.80/5.14 ( tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 4.80/5.14 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ),
% 4.80/5.14 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) ),
% 4.80/5.14 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.80/5.14 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 4.80/5.14 tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 4.80/5.14 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ),
% 4.80/5.14 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, v_z____ ) ) ) ) ) }.
% 4.80/5.14 substitution0:
% 4.80/5.14 end
% 4.80/5.14 permutation0:
% 4.80/5.14 0 ==> 0
% 4.80/5.14 end
% 4.80/5.14
% 4.80/5.14 resolution: (25497) {G1,W50,D10,L1,V1,M1} {
% 4.80/5.14 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.80/5.14 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.80/5.14 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.80/5.14 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.80/5.14 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), X ) ),
% 4.80/5.14 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs
% 4.80/5.14 ( tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.80/5.14 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.80/5.14 ( tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 4.80/5.14 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ), X
% 4.80/5.14 ) ), c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.80/5.14 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 4.80/5.14 tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 4.80/5.14 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ),
% 4.80/5.14 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, v_z____ ) ) ) ) ) }.
% 4.80/5.14 parent0[0]: (1) {G0,W26,D5,L2,V4,M2} I { !
% 4.80/5.14 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.80/5.14 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.80/5.14 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Z, Y ) ), X ),
% 4.80/5.14 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.80/5.14 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.80/5.14 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, T ) ),
% 4.80/5.14 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs
% 4.80/5.14 ( tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Z, T
% 4.80/5.14 ) ), X ) ) }.
% 4.80/5.14 parent1[0]: (4) {G0,W42,D9,L1,V0,M1} I { c_Orderings_Oord__class_Oless__eq
% 4.80/5.14 ( tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.80/5.14 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.80/5.14 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.80/5.14 ( tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 4.80/5.14 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ),
% 4.80/5.14 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.80/5.14 ( tc_Complex_Ocomplex, v_p, v_z____ ) ) ) ),
% 4.80/5.14 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.80/5.14 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 4.80/5.14 tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 4.80/5.14 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ),
% 4.80/5.15 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, v_z____ ) ) ) ) }.
% 4.80/5.15 substitution0:
% 4.80/5.15 X := c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.80/5.15 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 4.80/5.15 tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 4.80/5.15 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ),
% 4.80/5.15 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, v_z____ ) ) )
% 4.80/5.15 Y := c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.80/5.15 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, v_z____ ) )
% 4.80/5.15 Z := c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.80/5.15 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 4.80/5.15 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) )
% 4.80/5.15 T := X
% 4.80/5.15 end
% 4.80/5.15 substitution1:
% 4.80/5.15 end
% 4.80/5.15
% 4.80/5.15 subsumption: (1940) {G1,W50,D10,L1,V1,M1} R(4,1) {
% 4.80/5.15 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.80/5.15 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.80/5.15 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.80/5.15 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.80/5.15 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), X ) ),
% 4.80/5.15 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs
% 4.80/5.15 ( tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.80/5.15 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.80/5.15 ( tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 4.80/5.15 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ), X
% 4.80/5.15 ) ), c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.80/5.15 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 4.80/5.15 tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 4.80/5.15 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ),
% 4.80/5.15 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, v_z____ ) ) ) ) ) }.
% 4.80/5.15 parent0: (25497) {G1,W50,D10,L1,V1,M1} { c_Orderings_Oord__class_Oless__eq
% 4.80/5.15 ( tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.80/5.15 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.80/5.15 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.80/5.15 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), X ) ),
% 4.80/5.15 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs
% 4.80/5.15 ( tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.80/5.15 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.80/5.15 ( tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 4.80/5.15 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ), X
% 4.80/5.15 ) ), c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.80/5.15 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 4.80/5.15 tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 4.80/5.15 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ),
% 4.80/5.15 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, v_z____ ) ) ) ) ) }.
% 4.80/5.15 substitution0:
% 4.80/5.15 X := X
% 4.80/5.15 end
% 4.80/5.15 permutation0:
% 4.80/5.15 0 ==> 0
% 4.80/5.15 end
% 4.80/5.15
% 4.80/5.15 eqswap: (25498) {G0,W15,D6,L2,V2,M2} { c_Groups_Oplus__class_Oplus( X, Y,
% 4.80/5.15 Y ) = c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of
% 4.80/5.15 ( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ), Y ), !
% 4.80/5.15 class_Int_Onumber__ring( X ) }.
% 4.80/5.15 parent0[1]: (15) {G0,W15,D6,L2,V2,M2} I { ! class_Int_Onumber__ring( X ),
% 4.80/5.15 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 4.80/5.15 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ), Y ) =
% 4.80/5.15 c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 4.80/5.15 substitution0:
% 4.80/5.15 X := X
% 4.80/5.15 Y := Y
% 4.80/5.15 end
% 4.80/5.15
% 4.80/5.15 eqswap: (25499) {G0,W20,D7,L1,V1,M1} { X ==> c_Groups_Oplus__class_Oplus(
% 4.80/5.15 tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X,
% 4.80/5.15 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 4.80/5.15 c_Int_OBit1( c_Int_OPls ) ) ) ), c_Rings_Oinverse__class_Odivide(
% 4.80/5.15 tc_RealDef_Oreal, X, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 4.80/5.15 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 4.80/5.15 parent0[0]: (11) {G0,W20,D7,L1,V1,M1} I { c_Groups_Oplus__class_Oplus(
% 4.80/5.15 tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X,
% 4.80/5.15 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 4.80/5.15 c_Int_OBit1( c_Int_OPls ) ) ) ), c_Rings_Oinverse__class_Odivide(
% 4.80/5.15 tc_RealDef_Oreal, X, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 4.80/5.15 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ==> X }.
% 4.80/5.15 substitution0:
% 4.80/5.15 X := X
% 4.80/5.15 end
% 4.80/5.15
% 4.80/5.15 paramod: (25500) {G1,W19,D7,L2,V1,M2} { X ==>
% 4.80/5.15 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 4.80/5.15 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 4.80/5.15 c_Int_OBit1( c_Int_OPls ) ) ), c_Rings_Oinverse__class_Odivide(
% 4.80/5.15 tc_RealDef_Oreal, X, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 4.80/5.15 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ), ! class_Int_Onumber__ring
% 4.80/5.15 ( tc_RealDef_Oreal ) }.
% 4.80/5.15 parent0[0]: (25498) {G0,W15,D6,L2,V2,M2} { c_Groups_Oplus__class_Oplus( X
% 4.80/5.15 , Y, Y ) = c_Groups_Otimes__class_Otimes( X,
% 4.80/5.15 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 4.80/5.15 ) ) ), Y ), ! class_Int_Onumber__ring( X ) }.
% 4.80/5.15 parent1[0; 2]: (25499) {G0,W20,D7,L1,V1,M1} { X ==>
% 4.80/5.15 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 4.80/5.15 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X,
% 4.80/5.15 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 4.80/5.15 c_Int_OBit1( c_Int_OPls ) ) ) ), c_Rings_Oinverse__class_Odivide(
% 4.80/5.15 tc_RealDef_Oreal, X, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 4.80/5.15 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 4.80/5.15 substitution0:
% 4.80/5.15 X := tc_RealDef_Oreal
% 4.80/5.15 Y := c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X,
% 4.80/5.15 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 4.80/5.15 c_Int_OBit1( c_Int_OPls ) ) ) )
% 4.80/5.15 end
% 4.80/5.15 substitution1:
% 4.80/5.15 X := X
% 4.80/5.15 end
% 4.80/5.15
% 4.80/5.15 resolution: (25501) {G1,W17,D7,L1,V1,M1} { X ==>
% 4.80/5.15 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 4.80/5.15 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 4.80/5.15 c_Int_OBit1( c_Int_OPls ) ) ), c_Rings_Oinverse__class_Odivide(
% 4.80/5.15 tc_RealDef_Oreal, X, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 4.80/5.15 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 4.80/5.15 parent0[1]: (25500) {G1,W19,D7,L2,V1,M2} { X ==>
% 4.80/5.15 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 4.80/5.15 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 4.80/5.15 c_Int_OBit1( c_Int_OPls ) ) ), c_Rings_Oinverse__class_Odivide(
% 4.80/5.15 tc_RealDef_Oreal, X, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 4.80/5.15 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ), ! class_Int_Onumber__ring
% 4.80/5.15 ( tc_RealDef_Oreal ) }.
% 4.80/5.15 parent1[0]: (1588) {G0,W2,D2,L1,V0,M1} I { class_Int_Onumber__ring(
% 4.80/5.15 tc_RealDef_Oreal ) }.
% 4.80/5.15 substitution0:
% 4.80/5.15 X := X
% 4.80/5.15 end
% 4.80/5.15 substitution1:
% 4.80/5.15 end
% 4.80/5.15
% 4.80/5.15 eqswap: (25502) {G1,W17,D7,L1,V1,M1} { c_Groups_Otimes__class_Otimes(
% 4.80/5.15 tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 4.80/5.15 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ),
% 4.80/5.15 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X,
% 4.80/5.15 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 4.80/5.15 c_Int_OBit1( c_Int_OPls ) ) ) ) ) ==> X }.
% 4.80/5.15 parent0[0]: (25501) {G1,W17,D7,L1,V1,M1} { X ==>
% 4.80/5.15 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 4.80/5.15 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 4.80/5.15 c_Int_OBit1( c_Int_OPls ) ) ), c_Rings_Oinverse__class_Odivide(
% 4.80/5.15 tc_RealDef_Oreal, X, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 4.80/5.15 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 4.80/5.15 substitution0:
% 4.80/5.15 X := X
% 4.80/5.15 end
% 4.80/5.15
% 4.80/5.15 subsumption: (2224) {G1,W17,D7,L1,V1,M1} P(15,11);r(1588) {
% 4.80/5.15 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 4.80/5.15 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 4.80/5.15 c_Int_OBit1( c_Int_OPls ) ) ), c_Rings_Oinverse__class_Odivide(
% 4.80/5.15 tc_RealDef_Oreal, X, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 4.80/5.15 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ==> X }.
% 4.80/5.15 parent0: (25502) {G1,W17,D7,L1,V1,M1} { c_Groups_Otimes__class_Otimes(
% 4.80/5.15 tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 4.80/5.15 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ),
% 4.80/5.15 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X,
% 4.80/5.15 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 4.80/5.15 c_Int_OBit1( c_Int_OPls ) ) ) ) ) ==> X }.
% 4.80/5.15 substitution0:
% 4.80/5.15 X := X
% 4.80/5.15 end
% 4.80/5.15 permutation0:
% 4.80/5.15 0 ==> 0
% 4.80/5.15 end
% 4.80/5.15
% 4.80/5.15 paramod: (25504) {G1,W54,D10,L1,V0,M1} { !
% 4.80/5.15 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.80/5.15 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.80/5.15 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.80/5.15 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.80/5.15 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 4.80/5.15 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Groups_Oplus__class_Oplus(
% 4.80/5.15 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.80/5.15 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.80/5.15 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.80/5.15 ( tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 4.80/5.15 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ),
% 4.80/5.15 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) ),
% 4.80/5.15 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.80/5.15 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 4.80/5.15 tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 4.80/5.15 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ),
% 4.80/5.15 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, v_z____ ) ) ) ) ) }.
% 4.80/5.15 parent0[0]: (2224) {G1,W17,D7,L1,V1,M1} P(15,11);r(1588) {
% 4.80/5.15 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 4.80/5.15 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 4.80/5.15 c_Int_OBit1( c_Int_OPls ) ) ), c_Rings_Oinverse__class_Odivide(
% 4.80/5.15 tc_RealDef_Oreal, X, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 4.80/5.15 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ==> X }.
% 4.80/5.15 parent1[0; 3]: (1634) {G0,W68,D10,L1,V0,M1} I { !
% 4.80/5.15 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.80/5.15 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 4.80/5.15 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 4.80/5.15 c_Int_OBit1( c_Int_OPls ) ) ), c_Rings_Oinverse__class_Odivide(
% 4.80/5.15 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.80/5.15 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.80/5.15 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.80/5.15 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 4.80/5.15 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Int_Onumber__class_Onumber__of(
% 4.80/5.15 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ),
% 4.80/5.15 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs
% 4.80/5.15 ( tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.80/5.15 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.80/5.15 ( tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 4.80/5.15 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ),
% 4.80/5.15 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) ),
% 4.80/5.15 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.80/5.15 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 4.80/5.15 tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 4.80/5.15 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ),
% 4.80/5.15 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, v_z____ ) ) ) ) ) }.
% 4.80/5.15 substitution0:
% 4.80/5.15 X := c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.80/5.15 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.80/5.15 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.80/5.15 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 4.80/5.15 ( tc_RealDef_Oreal, v_s____ ) ) )
% 4.80/5.15 end
% 4.80/5.15 substitution1:
% 4.80/5.15 end
% 4.80/5.15
% 4.80/5.15 resolution: (25505) {G2,W0,D0,L0,V0,M0} { }.
% 4.80/5.15 parent0[0]: (25504) {G1,W54,D10,L1,V0,M1} { !
% 4.80/5.15 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.80/5.15 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.80/5.15 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.80/5.15 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.80/5.15 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 4.80/5.15 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Groups_Oplus__class_Oplus(
% 4.80/5.15 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.80/5.15 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.80/5.15 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.80/5.15 ( tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 4.80/5.15 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ),
% 4.80/5.15 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) ),
% 4.80/5.15 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.80/5.15 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 4.80/5.15 tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 4.80/5.15 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ),
% 4.80/5.15 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, v_z____ ) ) ) ) ) }.
% 4.80/5.15 parent1[0]: (1940) {G1,W50,D10,L1,V1,M1} R(4,1) {
% 4.80/5.15 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 4.80/5.15 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 4.80/5.15 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.80/5.15 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.80/5.15 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), X ) ),
% 4.80/5.15 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs
% 4.80/5.15 ( tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 4.80/5.15 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 4.80/5.15 ( tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 4.80/5.15 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ), X
% 4.80/5.15 ) ), c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 4.80/5.15 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 4.80/5.15 tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 4.80/5.15 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ),
% 4.80/5.15 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, v_z____ ) ) ) ) ) }.
% 4.80/5.15 substitution0:
% 4.80/5.15 end
% 4.80/5.15 substitution1:
% 4.80/5.15 X := c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ )
% 4.80/5.15 end
% 4.80/5.15
% 4.80/5.15 subsumption: (20401) {G2,W0,D0,L0,V0,M0} S(1634);d(2224);r(1940) { }.
% 4.80/5.15 parent0: (25505) {G2,W0,D0,L0,V0,M0} { }.
% 4.80/5.15 substitution0:
% 4.80/5.15 end
% 4.80/5.15 permutation0:
% 4.80/5.15 end
% 4.80/5.15
% 4.80/5.15 Proof check complete!
% 4.80/5.15
% 4.80/5.15 Memory use:
% 4.80/5.15
% 4.80/5.15 space for terms: 562562
% 4.80/5.15 space for clauses: 1213313
% 4.80/5.15
% 4.80/5.15
% 4.80/5.15 clauses generated: 70974
% 4.80/5.15 clauses kept: 20402
% 4.80/5.15 clauses selected: 639
% 4.80/5.15 clauses deleted: 477
% 4.80/5.15 clauses inuse deleted: 2
% 4.80/5.15
% 4.80/5.15 subsentry: 251827
% 4.80/5.15 literals s-matched: 129407
% 4.80/5.15 literals matched: 127233
% 4.80/5.15 full subsumption: 75101
% 4.80/5.15
% 4.80/5.15 checksum: 211557060
% 4.80/5.15
% 4.80/5.15
% 4.80/5.15 Bliksem ended
%------------------------------------------------------------------------------