TSTP Solution File: SWW228+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWW228+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.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 23:21:23 EDT 2022
% Result : Timeout 300.02s 300.41s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWW228+1 : TPTP v8.1.0. Released v5.2.0.
% 0.14/0.14 % Command : bliksem %s
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Sun Jun 5 05:30:42 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.97/1.57 *** allocated 10000 integers for termspace/termends
% 0.97/1.57 *** allocated 10000 integers for clauses
% 0.97/1.57 *** allocated 10000 integers for justifications
% 0.97/1.57 *** allocated 15000 integers for termspace/termends
% 0.97/1.57 *** allocated 22500 integers for termspace/termends
% 0.97/1.57 *** allocated 33750 integers for termspace/termends
% 0.97/1.57 Bliksem 1.12
% 0.97/1.57
% 0.97/1.57
% 0.97/1.57 Automatic Strategy Selection
% 0.97/1.57
% 0.97/1.57 *** allocated 50625 integers for termspace/termends
% 0.97/1.57 *** allocated 75937 integers for termspace/termends
% 0.97/1.57 *** allocated 113905 integers for termspace/termends
% 0.97/1.57
% 0.97/1.57 Clauses:
% 0.97/1.57
% 0.97/1.57 { c_SEQ_Osubseq( v_f____ ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.57 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.57 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.97/1.57 ( tc_RealDef_Oreal, v_s____ ) ) ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.57 c_Int_OBit1( c_Int_OPls ) ) ), c_Groups_Oabs__class_Oabs(
% 0.97/1.57 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.57 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.97/1.57 ( tc_RealDef_Oreal, v_s____ ) ) ) ), c_RealDef_Oreal( tc_Nat_Onat,
% 0.97/1.57 v_N2____ ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 0.97/1.57 tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ),
% 0.97/1.57 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, v_z____ ) ) ),
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.57 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.97/1.57 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Int_Onumber__class_Onumber__of(
% 0.97/1.57 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.57 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.97/1.57 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Int_Onumber__class_Onumber__of(
% 0.97/1.57 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.57 ( tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ) )
% 0.97/1.57 }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.57 ( tc_Complex_Ocomplex, v_p, v_g____( X ) ) ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ), hAPP(
% 0.97/1.57 v_f____, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) )
% 0.97/1.57 ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.97/1.57 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.57 v_N1____, v_N2____ ) ) ) ), c_Rings_Oinverse__class_Odivide(
% 0.97/1.57 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.57 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.97/1.57 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Int_Onumber__class_Onumber__of(
% 0.97/1.57 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ),
% 0.97/1.57 v_d____ ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 0.97/1.57 tc_Complex_Ocomplex, v_p, X ), c_Polynomial_Opoly( tc_Complex_Ocomplex,
% 0.97/1.57 v_p, v_z____ ) ) ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.57 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.97/1.57 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Int_Onumber__class_Onumber__of(
% 0.97/1.57 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.57 c_Int_OBit1( c_Int_OPls ) ) ), c_Groups_Oabs__class_Oabs(
% 0.97/1.57 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.57 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.97/1.57 ( tc_RealDef_Oreal, v_s____ ) ) ) ), c_RealDef_Oreal( tc_Nat_Onat,
% 0.97/1.57 c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____
% 0.97/1.57 ) ) ) ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), !
% 0.97/1.57 class_RealVector_Oreal__normed__algebra__1( X ),
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.57 Y ) ) = c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, Y ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.57 ( tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ),
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) ),
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.97/1.57 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.57 v_N1____, v_N2____ ) ) ) ) ) }.
% 0.97/1.57 { ! class_Fields_Ofield( X ), ! class_Int_Onumber__ring( X ),
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.97/1.57 X, c_Int_OBit1( c_Int_OPls ) ) ) = Y }.
% 0.97/1.57 { ! class_Fields_Ofield( X ), ! class_Int_Onumber__ring( X ),
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.97/1.57 X, c_Int_OBit1( c_Int_OPls ) ) ) = Y }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_Groups_Oone__class_Oone
% 0.97/1.57 ( tc_RealDef_Oreal ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), v_d____ ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.57 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, v_N1____, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, v_g____( hAPP(
% 0.97/1.57 v_f____, X ) ), v_z____ ) ), v_d____ ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.97/1.57 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.57 v_N1____, v_N2____ ) ) ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ) ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ),
% 0.97/1.57 v_d____ ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 0.97/1.57 tc_Complex_Ocomplex, v_p, X ), c_Polynomial_Opoly( tc_Complex_Ocomplex,
% 0.97/1.57 v_p, v_z____ ) ) ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.57 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.97/1.57 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Int_Onumber__class_Onumber__of(
% 0.97/1.57 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.97/1.57 tc_Nat_Onat, c_Nat_OSuc( hAPP( v_f____, c_Groups_Oplus__class_Oplus(
% 0.97/1.57 tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ),
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.97/1.57 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.57 v_N1____, v_N2____ ) ) ) ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), v_r ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, skol1( X ), Y ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, v_g____( hAPP(
% 0.97/1.57 v_f____, Y ) ), v_z____ ) ), X ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, v_g____( X ) ), v_r
% 0.97/1.57 ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.57 ( tc_Complex_Ocomplex, v_p, v_g____( X ) ) ), c_Groups_Oplus__class_Oplus
% 0.97/1.57 ( tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.97/1.57 v_s____ ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.97/1.57 tc_Nat_Onat, c_Nat_OSuc( X ) ) ) ) ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, Y ) ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__algebra__1( X ),
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, c_Groups_Oone__class_Oone( X ) ) =
% 0.97/1.57 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, Y ) = c_Groups_Ozero__class_Ozero(
% 0.97/1.57 tc_RealDef_Oreal ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__vector( X ), ! Y =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), c_RealVector_Onorm__class_Onorm( X, Y )
% 0.97/1.57 = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, Y ), c_Groups_Ozero__class_Ozero(
% 0.97/1.57 tc_RealDef_Oreal ) ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__vector( X ), ! Y =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless__eq(
% 0.97/1.57 tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( X, Y ),
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.57 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z, Y ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z, Y ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.57 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.57 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.57 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, Y ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, Y ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.57 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.97/1.57 c_Groups_Oplus__class_Oplus( X, Y, Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57 , Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.97/1.57 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57 { c_RealVector_Onorm__class_Onorm( tc_RealDef_Oreal, X ) =
% 0.97/1.57 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__field( X ),
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.97/1.57 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.57 , Y ), c_Groups_Oone__class_Oone( X ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OBit1(
% 0.97/1.57 c_Int_OPls ) ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OBit1(
% 0.97/1.57 c_Int_OPls ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Oone__class_Oone( X )
% 0.97/1.57 ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 0.97/1.57 , Y ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 0.97/1.57 , Y ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X
% 0.97/1.57 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, Y ) ), ! Y =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__vector( X ), Y =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless(
% 0.97/1.57 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, Y ) ) }.
% 0.97/1.57 { ! class_Int_Onumber( X ), ! class_Orderings_Olinorder( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.57 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.57 ), c_Int_Onumber__class_Onumber__of( X, Z ) ) }.
% 0.97/1.57 { ! class_Int_Onumber( X ), ! class_Orderings_Olinorder( X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.57 ), c_Int_Onumber__class_Onumber__of( X, Z ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.57 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.57 , c_Groups_Oplus__class_Oplus( X, Y, Y ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.57 ) ), c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X
% 0.97/1.57 ) ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.57 , Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.97/1.57 , c_Groups_Oplus__class_Oplus( X, Y, Y ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.57 ) ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.97/1.57 ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.97/1.57 ( X, Y ) ) ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.57 c_Int_OPls ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, Y ), c_Groups_Ozero__class_Ozero(
% 0.97/1.57 tc_RealDef_Oreal ) ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.57 c_Int_OBit1( Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.57 c_Int_OBit1( c_Int_OPls ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.97/1.57 , Y ) ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X, U,
% 0.97/1.57 Z ) ), c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus
% 0.97/1.57 ( X, T, Y ) ) ) ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.57 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless(
% 0.97/1.57 tc_Int_Oint, Y, c_Int_OPls ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.57 ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.97/1.57 ( tc_Int_Oint, c_Int_OPls, Y ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, Y ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.57 c_Int_OBit0( Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.97/1.57 ( X, Y ) ), c_RealVector_Onorm__class_Onorm( X,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( X, Z, Y ) ) ) }.
% 0.97/1.57 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber__ring( X )
% 0.97/1.57 , c_Rings_Oinverse__class_Odivide( X, Y, c_Int_Onumber__class_Onumber__of
% 0.97/1.57 ( X, c_Int_OPls ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.97/1.57 ( X, Y ) ), c_RealVector_Onorm__class_Onorm( X,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__field( X ), Y =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), c_RealVector_Onorm__class_Onorm( X,
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.97/1.57 ( X, Y ) ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.57 ), c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless(
% 0.97/1.57 tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls ) ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls )
% 0.97/1.57 ), c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.57 , Y ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.97/1.57 ( tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y
% 0.97/1.57 ), c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Oone__class_Oone( X )
% 0.97/1.57 ) = c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.97/1.57 tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls ) ) ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.57 c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X, Y )
% 0.97/1.57 ) = c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.97/1.57 tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y ) ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.57 ), c_Groups_Ozero__class_Ozero( X ) ), c_Groups_Oabs__class_Oabs( X,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.57 Y ) ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.57 ), c_Groups_Ozero__class_Ozero( X ) ), c_Groups_Oabs__class_Oabs( X,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.97/1.57 ( X, Y ) ) ), c_RealVector_Onorm__class_Onorm( X,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), ! class_Int_Oring__char__0( X ), !
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ), Z = Y }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), ! class_Int_Oring__char__0( X ), ! Z = Y
% 0.97/1.57 , c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.97/1.57 { ! class_Int_Onumber( X ), ! c_Int_Onumber__class_Onumber__of( X, Z ) = Y
% 0.97/1.57 , Y = c_Int_Onumber__class_Onumber__of( X, Z ) }.
% 0.97/1.57 { ! class_Int_Onumber( X ), ! Y = c_Int_Onumber__class_Onumber__of( X, Z )
% 0.97/1.57 , c_Int_Onumber__class_Onumber__of( X, Z ) = Y }.
% 0.97/1.57 { ! c_Int_OBit1( Y ) = c_Int_OBit1( X ), Y = X }.
% 0.97/1.57 { ! Y = X, c_Int_OBit1( Y ) = c_Int_OBit1( X ) }.
% 0.97/1.57 { ! c_Int_OBit0( Y ) = c_Int_OBit0( X ), Y = X }.
% 0.97/1.57 { ! Y = X, c_Int_OBit0( Y ) = c_Int_OBit0( X ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.57 c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ) =
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.97/1.57 ) ) ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.97/1.57 ) ) ) ) ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.97/1.57 ) ) ) ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero
% 0.97/1.57 ( X ), Y ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.97/1.57 ) ) ) ) ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.97/1.57 ), c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, Y ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, Y ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.97/1.57 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Oplus__class_Oplus( X
% 0.97/1.57 , c_Int_Onumber__class_Onumber__of( X, Z ), Y ) ) =
% 0.97/1.57 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, T, Z ) ), Y ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Z ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.97/1.57 tc_Int_Oint, Z, Y ) ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, Y ) ) =
% 0.97/1.57 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X, Z )
% 0.97/1.57 , c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Z, Y ) ) =
% 0.97/1.57 c_Groups_Ominus__class_Ominus( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.97/1.57 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) =
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.57 Y ) ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, c_Groups_Ouminus__class_Ouminus(
% 0.97/1.57 tc_Int_Oint, Y ) ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__field( X ),
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, T, Z
% 0.97/1.57 ), Y ) = c_Groups_Oplus__class_Oplus( X, c_Rings_Oinverse__class_Odivide
% 0.97/1.57 ( X, T, Y ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__field( X ),
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X, T,
% 0.97/1.57 Z ), Y ) = c_Groups_Ominus__class_Ominus( X,
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, T, Y ),
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.57 { ! c_Int_OBit1( X ) = c_Int_OPls }.
% 0.97/1.57 { ! c_Int_OPls = c_Int_OBit1( X ) }.
% 0.97/1.57 { ! c_Int_OBit1( Y ) = c_Int_OBit0( X ) }.
% 0.97/1.57 { ! c_Int_OBit0( Y ) = c_Int_OBit1( X ) }.
% 0.97/1.57 { ! c_Int_OBit0( X ) = c_Int_OPls, X = c_Int_OPls }.
% 0.97/1.57 { ! X = c_Int_OPls, c_Int_OBit0( X ) = c_Int_OPls }.
% 0.97/1.57 { ! c_Int_OPls = c_Int_OBit0( X ), c_Int_OPls = X }.
% 0.97/1.57 { ! c_Int_OPls = X, c_Int_OPls = c_Int_OBit0( X ) }.
% 0.97/1.57 { c_Int_OBit0( c_Int_OPls ) = c_Int_OPls }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X, Z,
% 0.97/1.57 Y ) ) = c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus
% 0.97/1.57 ( X, Y, Z ) ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__field( X ),
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X, Z
% 0.97/1.57 ), Y ) = c_Groups_Ouminus__class_Ouminus( X,
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ouminus__class_Ouminus( X, Y
% 0.97/1.57 ) ) = c_RealVector_Onorm__class_Onorm( X, Y ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__vector( X ), c_Groups_Oabs__class_Oabs
% 0.97/1.57 ( tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( X, Y ) ) =
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, Y ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Ominus__class_Ominus(
% 0.97/1.57 X, c_Int_Onumber__class_Onumber__of( X, Z ), Y ) ) =
% 0.97/1.57 c_Groups_Ominus__class_Ominus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, T, Z ) ), Y ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ), Y ) = Y }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X, Y,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ) ) = Y }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, Z ), Y ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, U ), T ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, c_Groups_Oplus__class_Oplus( X, Z, U
% 0.97/1.57 ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, T ) ) }.
% 0.97/1.57 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.97/1.57 class_RealVector_Oreal__normed__field( X ),
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.97/1.57 , Y ) ) = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.97/1.57 ( X, Y ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol2 ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ) ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ), skol2
% 0.97/1.57 ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 0.97/1.57 tc_Complex_Ocomplex, v_p, X ), c_Polynomial_Opoly( tc_Complex_Ocomplex,
% 0.97/1.57 v_p, v_z____ ) ) ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.57 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.97/1.57 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Int_Onumber__class_Onumber__of(
% 0.97/1.57 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.57 c_Int_OBit1( c_Int_OPls ) ) ), c_Groups_Oabs__class_Oabs(
% 0.97/1.57 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.57 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.97/1.57 ( tc_RealDef_Oreal, v_s____ ) ) ) ), c_RealDef_Oreal( tc_Nat_Onat, skol3
% 0.97/1.57 ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.57 c_Int_OBit1( c_Int_OPls ) ) ), c_Groups_Oabs__class_Oabs(
% 0.97/1.57 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.57 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.97/1.57 ( tc_RealDef_Oreal, v_s____ ) ) ) ), c_RealDef_Oreal( tc_Nat_Onat, skol4
% 0.97/1.57 ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, skol5, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, v_g____( hAPP(
% 0.97/1.57 v_f____, X ) ), v_z____ ) ), v_d____ ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.57 c_Int_OBit1( c_Int_OPls ) ) ), c_Groups_Oabs__class_Oabs(
% 0.97/1.57 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.57 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.97/1.57 ( tc_RealDef_Oreal, v_s____ ) ) ) ), c_RealDef_Oreal( tc_Nat_Onat,
% 0.97/1.57 c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____
% 0.97/1.57 ) ) ) ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.57 c_Int_OBit1( c_Int_OPls ) ) ), c_Groups_Oabs__class_Oabs(
% 0.97/1.57 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.57 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.97/1.57 ( tc_RealDef_Oreal, v_s____ ) ) ) ) ), c_Orderings_Oord__class_Oless(
% 0.97/1.57 tc_RealDef_Oreal, c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal,
% 0.97/1.57 c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( c_Groups_Oplus__class_Oplus(
% 0.97/1.57 tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ), c_Rings_Oinverse__class_Oinverse
% 0.97/1.57 ( tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.57 c_Int_OBit1( c_Int_OPls ) ) ), c_Groups_Oabs__class_Oabs(
% 0.97/1.57 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.57 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.97/1.57 ( tc_RealDef_Oreal, v_s____ ) ) ) ) ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.57 ( tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ),
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.97/1.57 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.57 v_N1____, v_N2____ ) ) ) ) ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.57 ( tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ),
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.97/1.57 tc_Nat_Onat, c_Nat_OSuc( hAPP( v_f____, c_Groups_Oplus__class_Oplus(
% 0.97/1.57 tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ) ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.97/1.57 tc_Nat_Onat, c_Nat_OSuc( hAPP( v_f____, c_Groups_Oplus__class_Oplus(
% 0.97/1.57 tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ) ), c_Groups_Oplus__class_Oplus
% 0.97/1.57 ( tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.97/1.57 v_s____ ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.97/1.57 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.57 v_N1____, v_N2____ ) ) ) ) ) ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 class_Int_Onumber__ring( X ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.97/1.57 c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.57 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.97/1.57 tc_Nat_Onat, X ) ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Z ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol6( X, Y, Z ) ) ), Z ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, T ) ), c_RealDef_Oreal(
% 0.97/1.57 tc_Nat_Onat, c_Nat_OSuc( skol29( X, Y ) ) ) ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol32( X, Y, Z ) ) ),
% 0.97/1.57 c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( Z ) ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol34( T, U ) ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol32( X, Y, Z ) ) ),
% 0.97/1.57 c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( Z ) ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, T ) ), skol34( X, Y ) ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Z ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol7( X, Y, Z ) ) ), Z ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, T ) ), c_RealDef_Oreal(
% 0.97/1.57 tc_Nat_Onat, c_Nat_OSuc( skol30( X, Y ) ) ) ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol33( X, Y, Z ) ) ),
% 0.97/1.57 c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( Z ) ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol35( T, U ) ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol33( X, Y, Z ) ) ),
% 0.97/1.57 c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( Z ) ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, T ) ), skol35( X, Y ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, v_w____ ), v_r ) }
% 0.97/1.57 .
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, Z ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y ) ), Z ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Complex_Ocomplex ) ), v_r ) }.
% 0.97/1.57 { c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.57 ( tc_Complex_Ocomplex, v_p, c_Groups_Ozero__class_Ozero(
% 0.97/1.57 tc_Complex_Ocomplex ) ) ) = c_Groups_Ouminus__class_Ouminus(
% 0.97/1.57 tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.57 ( tc_Complex_Ocomplex, v_p, c_Groups_Ozero__class_Ozero(
% 0.97/1.57 tc_Complex_Ocomplex ) ) ) ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ), v_r ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.57 ( tc_Complex_Ocomplex, v_p, X ) ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ), v_r ), !
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.57 ( tc_Complex_Ocomplex, v_p, X ) ) = c_Groups_Ouminus__class_Ouminus(
% 0.97/1.57 tc_RealDef_Oreal, Y ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y
% 0.97/1.57 , c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.97/1.57 { ! alpha1( Y ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, Y )
% 0.97/1.57 , c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, v_s____ ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, v_s____ ), alpha1(
% 0.97/1.57 skol8( Y ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, v_s____ ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, skol8( X ) ) }.
% 0.97/1.57 { ! alpha1( X ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol9( Y ) ), v_r )
% 0.97/1.57 }.
% 0.97/1.57 { ! alpha1( X ), c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.97/1.57 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, skol9( X ) ) ) =
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ), v_r ), !
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.57 ( tc_Complex_Ocomplex, v_p, Y ) ) = c_Groups_Ouminus__class_Ouminus(
% 0.97/1.57 tc_RealDef_Oreal, X ), alpha1( X ) }.
% 0.97/1.57 { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.97/1.57 tc_Int_Oint, c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ) =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.97/1.57 tc_Int_Oint ), c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, X ) }.
% 0.97/1.57 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.97/1.57 ( tc_Int_Oint ) ) = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), c_Groups_Oabs__class_Oabs(
% 0.97/1.57 tc_Int_Oint, X ) = c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), c_Groups_Oabs__class_Oabs(
% 0.97/1.57 tc_Int_Oint, X ) = X }.
% 0.97/1.57 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) = X }.
% 0.97/1.57 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) =
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) }.
% 0.97/1.57 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Groups_Oplus__class_Oplus
% 0.97/1.57 ( tc_Int_Oint, Y, X ) ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ),
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) }.
% 0.97/1.57 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.97/1.57 tc_Int_Oint ), X ) = X }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.57 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.97/1.57 tc_Int_Oint ), X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.97/1.57 ( tc_Int_Oint ), X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.57 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ) }.
% 0.97/1.57 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Ozero__class_Ozero
% 0.97/1.57 ( tc_Int_Oint ) ) = X }.
% 0.97/1.57 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) =
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Y ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Y ) }.
% 0.97/1.57 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ) =
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ominus__class_Ominus
% 0.97/1.57 ( tc_Int_Oint, Y, X ), c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ),
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), ! Y = X }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), Y = X,
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), Y = X,
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Y ) }.
% 0.97/1.57 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) =
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.97/1.57 tc_Int_Oint ) ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X )
% 0.97/1.57 }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.97/1.57 tc_Int_Oint ) ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Int_Oint, X, c_Groups_Oone__class_Oone
% 0.97/1.57 ( tc_Int_Oint ) ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.97/1.57 .
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Int_Oint, X, c_Groups_Oone__class_Oone
% 0.97/1.57 ( tc_Int_Oint ) ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.97/1.57 tc_Int_Oint ) ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), Y
% 0.97/1.57 = X }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.97/1.57 tc_Int_Oint ) ) ) }.
% 0.97/1.57 { ! Y = X, c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.97/1.57 tc_Int_Oint ) ) ) }.
% 0.97/1.57 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, c_Groups_Oplus__class_Oplus
% 0.97/1.57 ( tc_Int_Oint, Y, X ) ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oabs__class_Oabs(
% 0.97/1.57 tc_Int_Oint, X ), c_Groups_Oone__class_Oone( tc_Int_Oint ) ), X =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.97/1.57 { ! X = c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oabs__class_Oabs(
% 0.97/1.57 tc_Int_Oint, X ), c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 0.97/1.57 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Ouminus__class_Ouminus
% 0.97/1.57 ( tc_Int_Oint, X ), X ) = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.97/1.57 { c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) =
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 0.97/1.57 { c_Groups_Ominus__class_Ominus( tc_Int_Oint,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) =
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.97/1.57 tc_Int_Oint ) ), X ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X )
% 0.97/1.57 }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.97/1.57 tc_Int_Oint ) ), X ) }.
% 0.97/1.57 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.97/1.57 tc_Int_Oint, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus
% 0.97/1.57 ( tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.97/1.57 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ),
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.97/1.57 tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.97/1.57 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ),
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.97/1.57 tc_Int_Oint ), c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.97/1.57 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.97/1.57 tc_Int_Oint ) ), X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.97/1.57 tc_Int_Oint, Y, Z ), c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Z ) ) }
% 0.97/1.57 .
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, Y ),
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Z ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, Z ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Y ), Y = X }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, T, Z ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.97/1.57 tc_Int_Oint, Y, T ), c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Z ) ) }
% 0.97/1.57 .
% 0.97/1.57 { ! class_RealVector_Oreal__normed__div__algebra( X ), !
% 0.97/1.57 class_Rings_Odivision__ring__inverse__zero( X ),
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, c_Rings_Oinverse__class_Oinverse( X,
% 0.97/1.57 Y ) ) = c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, Y ) ) }.
% 0.97/1.57 { c_Int_OBit1( X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oone__class_Oone(
% 0.97/1.57 tc_Int_Oint ), X ), X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ),
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ),
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ),
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ),
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.97/1.57 { c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, Y ),
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, X ) ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__div__algebra( X ), Y =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), c_RealVector_Onorm__class_Onorm( X,
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( X, Y ) ) =
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, Y ) ) }.
% 0.97/1.57 { ! c_SEQ_Osubseq( X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z
% 0.97/1.57 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X, Y ), hAPP( X, Z
% 0.97/1.57 ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, skol10( X ), skol31( X ) ),
% 0.97/1.57 c_SEQ_Osubseq( X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X, skol10( X ) ),
% 0.97/1.57 hAPP( X, skol31( X ) ) ), c_SEQ_Osubseq( X ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), c_Groups_Ominus__class_Ominus( X,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Z ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.97/1.57 tc_Int_Oint, Z, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit1( X
% 0.97/1.57 ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit1( X )
% 0.97/1.57 ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( X ),
% 0.97/1.57 c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls )
% 0.97/1.57 }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( X ),
% 0.97/1.57 c_Int_OPls ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.97/1.57 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.97/1.57 ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1
% 0.97/1.57 ( X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.97/1.57 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.97/1.57 ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1
% 0.97/1.57 ( X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.97/1.57 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.97/1.57 .
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.97/1.57 c_Int_OBit0( X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.97/1.57 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.97/1.57 .
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.97/1.57 c_Int_OBit0( X ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ),
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, Y, X ) ),
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ) ) }.
% 0.97/1.57 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, X, c_Int_OPls ) = X }.
% 0.97/1.57 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0
% 0.97/1.57 ( X ) ) = c_Int_OBit0( c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X )
% 0.97/1.57 ) }.
% 0.97/1.57 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OPls ) = c_Int_OPls }
% 0.97/1.57 .
% 0.97/1.57 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OBit0( X ) ) =
% 0.97/1.57 c_Int_OBit0( c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.97/1.57 tc_Nat_Onat, Y ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.97/1.57 c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.97/1.57 tc_Nat_Onat, Y ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.97/1.57 c_RealDef_Oreal( tc_Nat_Onat, X ) ), c_Orderings_Oord__class_Oless(
% 0.97/1.57 tc_Nat_Onat, Y, X ) }.
% 0.97/1.57 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OPls, X ) = X }.
% 0.97/1.57 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Int_OPls ) = X }.
% 0.97/1.57 { c_Int_OBit0( X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, X ) }.
% 0.97/1.57 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0(
% 0.97/1.57 X ) ) = c_Int_OBit0( c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }
% 0.97/1.57 .
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.97/1.57 tc_Nat_Onat, X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.57 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.97/1.57 tc_Nat_Onat, X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.97/1.57 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.97/1.57 .
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1
% 0.97/1.57 ( X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.97/1.57 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.97/1.57 .
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1
% 0.97/1.57 ( X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OPls ) }
% 0.97/1.57 .
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.97/1.57 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.97/1.57 .
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0
% 0.97/1.57 ( X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.97/1.57 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.97/1.57 .
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0
% 0.97/1.57 ( X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.97/1.57 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.97/1.57 ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.97/1.57 c_Int_OBit1( X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.97/1.57 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.97/1.57 ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.97/1.57 c_Int_OBit1( X ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OPls )
% 0.97/1.57 }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.97/1.57 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.97/1.57 ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.97/1.57 c_Int_OBit0( X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.97/1.57 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.97/1.57 ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.97/1.57 c_Int_OBit0( X ) ) }.
% 0.97/1.57 { c_Int_OPls = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.97/1.57 { c_Groups_Ozero__class_Ozero( tc_Int_Oint ) =
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OPls ) }.
% 0.97/1.57 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y = X }.
% 0.97/1.57 { ! Y = X, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.57 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X =
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) }.
% 0.97/1.57 { ! X = c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ),
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.57 { c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y
% 0.97/1.57 , X ) ) = c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal
% 0.97/1.57 ( tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.97/1.57 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.97/1.57 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.97/1.57 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ) =
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) }.
% 0.97/1.57 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ) =
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__div__algebra( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, Y ) ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Z ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, c_Rings_Oinverse__class_Oinverse( X,
% 0.97/1.57 Y ) ), c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, Z ) ) }.
% 0.97/1.57 { c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus
% 0.97/1.57 ( tc_RealDef_Oreal, Y, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal
% 0.97/1.57 , X ) ) ) = c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ) ) }.
% 0.97/1.57 { c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Oone__class_Oone( tc_Nat_Onat ) )
% 0.97/1.57 = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.97/1.57 { ! c_RealDef_Oreal( tc_Nat_Onat, X ) = c_Groups_Ozero__class_Ozero(
% 0.97/1.57 tc_RealDef_Oreal ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.57 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_RealDef_Oreal(
% 0.97/1.57 tc_Nat_Onat, X ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.57 { c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.97/1.57 ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.57 { ! c_SEQ_Osubseq( X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X
% 0.97/1.57 , Y ), hAPP( X, c_Nat_OSuc( Y ) ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X, skol11( X ) ),
% 0.97/1.57 hAPP( X, c_Nat_OSuc( skol11( X ) ) ) ), c_SEQ_Osubseq( X ) }.
% 0.97/1.57 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0
% 0.97/1.57 ( X ) ) = c_Int_OBit1( c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X )
% 0.97/1.57 ) }.
% 0.97/1.57 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1
% 0.97/1.57 ( X ) ) = c_Int_OBit0( c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X )
% 0.97/1.57 ) }.
% 0.97/1.57 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OPls, c_Int_OBit0( X )
% 0.97/1.57 ) = c_Int_OBit0( c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OPls
% 0.97/1.57 , X ) ) }.
% 0.97/1.57 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1(
% 0.97/1.57 X ) ) = c_Int_OBit1( c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }
% 0.97/1.57 .
% 0.97/1.57 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0(
% 0.97/1.57 X ) ) = c_Int_OBit1( c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }
% 0.97/1.57 .
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ),
% 0.97/1.57 c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls )
% 0.97/1.57 }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ), c_Int_OPls
% 0.97/1.57 ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.97/1.57 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.97/1.57 .
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0
% 0.97/1.57 ( X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.97/1.57 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.97/1.57 .
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0
% 0.97/1.57 ( X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit0( X
% 0.97/1.57 ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit0( X )
% 0.97/1.57 ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ),
% 0.97/1.57 c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls )
% 0.97/1.57 }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ), c_Int_OPls
% 0.97/1.57 ) }.
% 0.97/1.57 { c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( X ) ) =
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.97/1.57 tc_Nat_Onat, X ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit1
% 0.97/1.57 ( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X )
% 0.97/1.57 }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit1(
% 0.97/1.57 X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.97/1.57 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.97/1.57 ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.97/1.57 c_Int_OBit1( X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.97/1.57 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.97/1.57 ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.97/1.57 c_Int_OBit1( X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit0
% 0.97/1.57 ( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X )
% 0.97/1.57 }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit0(
% 0.97/1.57 X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( X ),
% 0.97/1.57 c_Int_OPls ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X,
% 0.97/1.57 c_Int_OPls ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( X ),
% 0.97/1.57 c_Int_OPls ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), c_RealDef_Oreal
% 0.97/1.57 ( tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.97/1.57 tc_Nat_Onat, X ), c_RealDef_Oreal( tc_Nat_Onat, Y ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs
% 0.97/1.57 ( tc_RealDef_Oreal, X ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) )
% 0.97/1.57 , X ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus
% 0.97/1.57 ( tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, T, Z )
% 0.97/1.57 , c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ),
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) ) ),
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs
% 0.97/1.57 ( tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, T,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ) ),
% 0.97/1.57 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus
% 0.97/1.57 ( tc_RealDef_Oreal, Z, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal
% 0.97/1.57 , X ) ) ) ) ) }.
% 0.97/1.57 { c_Groups_Oone__class_Oone( tc_Int_Oint ) =
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 0.97/1.57 ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.97/1.57 tc_Nat_Onat, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), X =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.57 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.97/1.57 tc_Nat_Onat, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.97/1.57 { c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.97/1.57 tc_Nat_Onat ) ) ) = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), c_Groups_Ominus__class_Ominus( X,
% 0.97/1.57 c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X, Y )
% 0.97/1.57 ) = c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.97/1.57 tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), c_Groups_Ouminus__class_Ouminus(
% 0.97/1.57 tc_Int_Oint, Y ) ) ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), c_Groups_Ominus__class_Ominus( X,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Oone__class_Oone( X )
% 0.97/1.57 ) = c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.97/1.57 tc_Int_Oint, Y, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OBit1
% 0.97/1.57 ( c_Int_OPls ) ) ) ) }.
% 0.97/1.57 { ! class_Int_Onumber( X ), ! class_Rings_Odivision__ring( X ),
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( X, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.57 , Y ) ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone(
% 0.97/1.57 X ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.57 { ! class_Fields_Ofield( X ), ! class_Int_Onumber__ring( X ),
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( X, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.57 , c_Int_OBit1( c_Int_OPls ) ) ) = c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.57 c_Int_OBit1( c_Int_OPls ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.97/1.57 tc_Nat_Onat, Y ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.57 c_RealDef_Oreal( tc_Nat_Onat, X ), c_Groups_Oone__class_Oone(
% 0.97/1.57 tc_RealDef_Oreal ) ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.97/1.57 tc_Nat_Onat, Y ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.57 c_RealDef_Oreal( tc_Nat_Onat, X ), c_Groups_Oone__class_Oone(
% 0.97/1.57 tc_RealDef_Oreal ) ) ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 0.97/1.57 , X ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oone__class_Oone
% 0.97/1.57 ( tc_RealDef_Oreal ), c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) )
% 0.97/1.57 ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Ominus__class_Ominus(
% 0.97/1.57 X, Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) =
% 0.97/1.57 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, T,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) ), Z ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X, Z,
% 0.97/1.57 Y ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.97/1.57 ( X, Y ) ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Y ), Y = X }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Z ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, Z ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Y ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, X ) }.
% 0.97/1.57 { ! c_RealDef_Oreal( tc_Nat_Onat, Y ) = c_RealDef_Oreal( tc_Nat_Onat, X ),
% 0.97/1.57 Y = X }.
% 0.97/1.57 { ! Y = X, c_RealDef_Oreal( tc_Nat_Onat, Y ) = c_RealDef_Oreal( tc_Nat_Onat
% 0.97/1.57 , X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y,
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.57 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.57 c_Int_OBit1( c_Int_OPls ) ) ) ), X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), ! Y = X }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), Y = X,
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), Y = X }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.97/1.57 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), X =
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol12( X, Y ) ) }.
% 0.97/1.57 { ! X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.57 { ! c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) =
% 0.97/1.57 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.97/1.57 { c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, c_RealDef_Oreal( tc_Nat_Onat
% 0.97/1.57 , X ) ) = c_RealDef_Oreal( tc_Nat_Onat, X ) }.
% 0.97/1.57 { ! c_SEQ_Osubseq( X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.97/1.57 hAPP( X, Y ) ) }.
% 0.97/1.57 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Oplus__class_Oplus( X, Z, Y )
% 0.97/1.57 = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ouminus__class_Ouminus
% 0.97/1.57 ( X, Z ) }.
% 0.97/1.57 { ! class_Groups_Ogroup__add( X ), ! Y = c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.57 , Z ), c_Groups_Oplus__class_Oplus( X, Z, Y ) =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ), alpha2( X, Y
% 0.97/1.57 ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ), alpha35( X,
% 0.97/1.57 Y ) }.
% 0.97/1.57 { ! alpha2( X, Y ), ! alpha35( X, Y ), c_Orderings_Oord__class_Oless__eq(
% 0.97/1.57 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ) }.
% 0.97/1.57 { ! alpha35( X, Y ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), alpha35( X, Y ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), alpha35( X, Y ) }.
% 0.97/1.57 { ! alpha2( X, Y ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y
% 0.97/1.57 , c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), alpha2( X, Y ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), alpha2( X, Y ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.97/1.57 tc_Nat_Onat, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ),
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ),
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.97/1.57 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.97/1.57 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ), X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ), Y ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ), X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ), Y ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ), X ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.97/1.57 tc_Nat_Onat, c_Nat_OSuc( X ) ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.97/1.57 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) =
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.97/1.57 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) = X }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.97/1.57 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) =
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.97/1.57 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) = X }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol13( Y ) ), v_r
% 0.97/1.57 ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.57 ( tc_Complex_Ocomplex, v_p, skol13( X ) ) ), c_Groups_Oplus__class_Oplus
% 0.97/1.57 ( tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.97/1.57 v_s____ ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.97/1.57 tc_Nat_Onat, c_Nat_OSuc( X ) ) ) ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP( skol14, X ) )
% 0.97/1.57 , v_r ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.57 ( tc_Complex_Ocomplex, v_p, hAPP( skol14, X ) ) ),
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.97/1.57 tc_Nat_Onat, c_Nat_OSuc( X ) ) ) ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol15( Y ) ), v_r
% 0.97/1.57 ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.57 ( tc_Complex_Ocomplex, v_p, skol15( X ) ) ), c_Groups_Oplus__class_Oplus
% 0.97/1.57 ( tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.97/1.57 v_s____ ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.97/1.57 tc_Nat_Onat, c_Nat_OSuc( X ) ) ) ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ), v_r ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.57 ( tc_Complex_Ocomplex, v_p, Y ) ) ) ), X ), c_Orderings_Oord__class_Oless
% 0.97/1.57 ( tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.97/1.57 v_s____ ), X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ), X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol16( Y ) ), v_r
% 0.97/1.57 ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ), X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.57 ( tc_Complex_Ocomplex, v_p, skol16( X ) ) ) ) ), X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ), v_r ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.57 ( tc_Complex_Ocomplex, v_p, Y ) ), X ), c_Orderings_Oord__class_Oless(
% 0.97/1.57 tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.97/1.57 v_s____ ), X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ), X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol17( Y ) ), v_r
% 0.97/1.57 ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ), X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.57 ( tc_Complex_Ocomplex, v_p, skol17( X ) ) ), X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ), v_r ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.57 ( tc_Complex_Ocomplex, v_p, X ) ), c_Groups_Ouminus__class_Ouminus(
% 0.97/1.57 tc_RealDef_Oreal, v_s____ ) ), c_Orderings_Oord__class_Oless(
% 0.97/1.57 tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.97/1.57 v_s____ ), c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) )
% 0.97/1.57 }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol18 ), v_r ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.57 ( tc_Complex_Ocomplex, v_p, skol18 ) ), c_Groups_Ouminus__class_Ouminus(
% 0.97/1.57 tc_RealDef_Oreal, v_s____ ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ), v_r ), !
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.57 ( tc_Complex_Ocomplex, v_p, Y ) ) = c_Groups_Ouminus__class_Ouminus(
% 0.97/1.57 tc_RealDef_Oreal, X ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X
% 0.97/1.57 , skol19 ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), v_r ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ), v_r ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.57 ( tc_Complex_Ocomplex, v_p, skol20 ) ), c_RealVector_Onorm__class_Onorm(
% 0.97/1.57 tc_Complex_Ocomplex, c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, X ) )
% 0.97/1.57 ) }.
% 0.97/1.57 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.57 c_Int_OBit1( c_Int_OPls ) ) ) ), Y ) = c_Rings_Oinverse__class_Odivide(
% 0.97/1.57 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y )
% 0.97/1.57 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.57 c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.97/1.57 { ! c_Groups_Ozero__class_Ozero( tc_Int_Oint ) = c_Groups_Oone__class_Oone
% 0.97/1.57 ( tc_Int_Oint ) }.
% 0.97/1.57 { c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) = X }.
% 0.97/1.57 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.97/1.57 , Y ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Ominus__class_Ominus(
% 0.97/1.57 X, U, Z ), c_Groups_Ominus__class_Ominus( X, T, Y ) ) }.
% 0.97/1.57 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.57 c_Int_OBit1( c_Int_OPls ) ) ) ), X ) = c_Rings_Oinverse__class_Odivide(
% 0.97/1.57 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X )
% 0.97/1.57 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.57 c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.57 c_Int_OPls ) ) ) ), X = c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X =
% 0.97/1.57 c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.57 tc_Nat_Onat ), c_Nat_OSuc( X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, T, Z ) ), X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.57 c_Int_OBit1( c_Int_OPls ) ) ), X ), c_Groups_Oplus__class_Oplus(
% 0.97/1.57 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, T, Z ) ), Y ) ) }.
% 0.97/1.57 { c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.57 c_Int_OBit1( c_Int_OPls ) ) ) ), c_Rings_Oinverse__class_Odivide(
% 0.97/1.57 tc_RealDef_Oreal, X, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 0.97/1.57 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) = X }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.57 c_Int_OPls ) ) ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.57 c_Int_OPls ) ) ) ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X =
% 0.97/1.57 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc(
% 0.97/1.57 X ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( X ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Otimes__class_Otimes(
% 0.97/1.57 X, c_Int_Onumber__class_Onumber__of( X, Z ), Y ) ) =
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Int_Oint, T, Z ) ), Y ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Z ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, c_Groups_Otimes__class_Otimes(
% 0.97/1.57 tc_Int_Oint, Z, Y ) ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ) ) =
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.97/1.57 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__div__algebra( X ),
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.97/1.57 Y ) ) = c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.97/1.57 ( X, Y ) ) }.
% 0.97/1.57 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) =
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) }.
% 0.97/1.57 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, Y ), X ) =
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.97/1.57 Y ) ), c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.97/1.57 ( X, Y ) ) ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__algebra( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, Z ), Y ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, U ), T ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.97/1.57 U ) ), c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, T ) ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Y, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Y, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, c_Groups_Ozero__class_Ozero( X ), Y ) =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, c_Groups_Ozero__class_Ozero( X ), Y ) =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.97/1.57 ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.57 T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.97/1.57 ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.57 T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.97/1.57 , Y ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.97/1.57 , T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.97/1.57 , Y ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.97/1.57 , T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Ominus__class_Ominus( X, Z
% 0.97/1.57 , Y ) ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.97/1.57 ( X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Ominus__class_Ominus( X, Z
% 0.97/1.57 , Y ) ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.97/1.57 ( X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, T, Z
% 0.97/1.57 ), Y ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.97/1.57 ( X, T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, T, Z
% 0.97/1.57 ), Y ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.97/1.57 ( X, T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.97/1.57 Y ) ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes
% 0.97/1.57 ( X, Z, Y ) ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.97/1.57 Y ) ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes
% 0.97/1.57 ( X, Z, Y ) ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.97/1.57 , Y ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes
% 0.97/1.57 ( X, Z, Y ) ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.97/1.57 , Y ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes
% 0.97/1.57 ( X, Z, Y ) ) }.
% 0.97/1.57 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ) =
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ), Z = Y }.
% 0.97/1.57 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! Z = Y,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ) =
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) }.
% 0.97/1.57 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ) =
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ), Z = Y }.
% 0.97/1.57 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! Z = Y,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ) =
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) }.
% 0.97/1.57 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) = X }.
% 0.97/1.57 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, Y ), X ) =
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.57 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z )
% 0.97/1.57 , c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.97/1.57 .
% 0.97/1.57 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.57 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z )
% 0.97/1.57 , c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.97/1.57 .
% 0.97/1.57 { ! class_Rings_Olinordered__ring__strict( X ), ! Z =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z
% 0.97/1.57 ), c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.97/1.57 X, Y, Y ) ), c_Groups_Ozero__class_Ozero( X ) ), Z =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.97/1.57 X, Y, Y ) ), c_Groups_Ozero__class_Ozero( X ) ), Y =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__ring__strict( X ), ! Z =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57 , c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.97/1.57 X, Y, Y ) ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__ring( X ), c_Orderings_Oord__class_Oless__eq(
% 0.97/1.57 X, c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.97/1.57 X, Y, Y ) ) ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__ring( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.57 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z
% 0.97/1.57 ), c_Groups_Otimes__class_Otimes( X, Y, Y ) ),
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.57 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z )
% 0.97/1.57 , c_Groups_Otimes__class_Otimes( X, Y, Y ) ) ), ! Z =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57 }.
% 0.97/1.57 { ! class_Rings_Olinordered__ring__strict( X ), Z =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.97/1.57 X, Y, Y ) ) ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__ring__strict( X ), Y =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.97/1.57 X, Y, Y ) ) ) }.
% 0.97/1.57 { ! class_Int_Onumber( X ), ! class_Rings_Osemiring( X ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.97/1.57 ), c_Groups_Oplus__class_Oplus( X, Z, Y ) ) =
% 0.97/1.57 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, T ), Z ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.97/1.57 ), Y ) ) }.
% 0.97/1.57 { ! class_Int_Onumber( X ), ! class_Rings_Osemiring( X ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.97/1.57 , c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.97/1.57 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Groups_Otimes__class_Otimes
% 0.97/1.57 ( X, Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.97/1.57 { ! class_Rings_Oring( X ), c_Groups_Ominus__class_Ominus( X,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.97/1.57 X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, U, c_Groups_Ominus__class_Ominus( X, T
% 0.97/1.57 , Y ) ), c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus
% 0.97/1.57 ( X, U, Z ), Y ) ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.57 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, U, T
% 0.97/1.57 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.97/1.57 c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, U, Z
% 0.97/1.57 ), c_Groups_Ominus__class_Ominus( X, T, Y ) ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, U, Z
% 0.97/1.57 ), Y ) ), c_Groups_Otimes__class_Otimes( X, Z,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( X, T, Y ) ) ) }.
% 0.97/1.57 { ! class_Int_Onumber( X ), ! class_Rings_Oring( X ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.97/1.57 ), c_Groups_Ominus__class_Ominus( X, Z, Y ) ) =
% 0.97/1.57 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, T ), Z ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.97/1.57 ), Y ) ) }.
% 0.97/1.57 { ! class_Int_Onumber( X ), ! class_Rings_Oring( X ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, T, Z
% 0.97/1.57 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.97/1.57 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Groups_Otimes__class_Otimes
% 0.97/1.57 ( X, Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.97/1.57 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.57 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.57 { ! Y = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! X =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ) ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) }.
% 0.97/1.57 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, Y ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ), hAPP( Z, Y
% 0.97/1.57 ) ), c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y ) ), Y ) ) =
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ), hAPP( Z, Y
% 0.97/1.57 ) ), c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y ) ), X ) ) }
% 0.97/1.57 .
% 0.97/1.57 { c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) =
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y,
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, X ) ) }.
% 0.97/1.57 { c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) =
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y,
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, X ) ) }.
% 0.97/1.57 { ! class_Rings_Oring__1( X ), c_Groups_Ominus__class_Ominus( X,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Y, Y ), c_Groups_Oone__class_Oone( X )
% 0.97/1.57 ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.97/1.57 , c_Groups_Oone__class_Oone( X ) ), c_Groups_Ominus__class_Ominus( X, Y,
% 0.97/1.57 c_Groups_Oone__class_Oone( X ) ) ) }.
% 0.97/1.57 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), ! T
% 0.97/1.57 = c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of
% 0.97/1.57 ( X, Y ) ), alpha36( X, Y, Z, T ) }.
% 0.97/1.57 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), ! T
% 0.97/1.57 = c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of
% 0.97/1.57 ( X, Y ) ), alpha3( X, Y, T ) }.
% 0.97/1.57 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.97/1.57 alpha36( X, Y, Z, T ), ! alpha3( X, Y, T ), T =
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.97/1.57 X, Y ) ) }.
% 0.97/1.57 { ! alpha36( X, Y, Z, T ), c_Int_Onumber__class_Onumber__of( X, Y ) =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, T,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ) ) = Z }.
% 0.97/1.57 { ! c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero
% 0.97/1.57 ( X ), alpha36( X, Y, Z, T ) }.
% 0.97/1.57 { ! c_Groups_Otimes__class_Otimes( X, T, c_Int_Onumber__class_Onumber__of(
% 0.97/1.57 X, Y ) ) = Z, alpha36( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha3( X, Y, Z ), ! c_Int_Onumber__class_Onumber__of( X, Y ) =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.97/1.57 .
% 0.97/1.57 { c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.97/1.57 ), alpha3( X, Y, Z ) }.
% 0.97/1.57 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha3( X, Y, Z ) }.
% 0.97/1.57 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, T ) =
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha37( X, Y, Z, T ) }.
% 0.97/1.57 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, T ) =
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha4( X, Y, T ) }.
% 0.97/1.57 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.97/1.57 alpha37( X, Y, Z, T ), ! alpha4( X, Y, T ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, T ) =
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.97/1.57 { ! alpha37( X, Y, Z, T ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.97/1.57 ), Y ) = Z }.
% 0.97/1.57 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha37( X, Y, Z, T ) }.
% 0.97/1.57 { ! c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.57 T ), Y ) = Z, alpha37( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha4( X, Y, Z ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero( X
% 0.97/1.57 ) }.
% 0.97/1.57 { Y = c_Groups_Ozero__class_Ozero( X ), alpha4( X, Y, Z ) }.
% 0.97/1.57 { ! c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero
% 0.97/1.57 ( X ), alpha4( X, Y, Z ) }.
% 0.97/1.57 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, T, Z ) =
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ), alpha38( X, Y, Z, T ) }.
% 0.97/1.57 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, T, Z ) =
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ), alpha5( X, Y, Z ) }.
% 0.97/1.57 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.97/1.57 alpha38( X, Y, Z, T ), ! alpha5( X, Y, Z ),
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, T, Z ) =
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.97/1.57 { ! alpha38( X, Y, Z, T ), Z = c_Groups_Ozero__class_Ozero( X ), T =
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.57 ), Z ) }.
% 0.97/1.57 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha38( X, Y, Z, T ) }.
% 0.97/1.57 { ! T = c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of
% 0.97/1.57 ( X, Y ), Z ), alpha38( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha5( X, Y, Z ), ! Z = c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.97/1.57 ) }.
% 0.97/1.57 { Z = c_Groups_Ozero__class_Ozero( X ), alpha5( X, Y, Z ) }.
% 0.97/1.57 { ! c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero
% 0.97/1.57 ( X ), alpha5( X, Y, Z ) }.
% 0.97/1.57 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.97/1.57 X, Z ) ) = Y, alpha39( X, Y, Z, T ) }.
% 0.97/1.57 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.97/1.57 X, Z ) ) = Y, alpha6( X, Y, Z ) }.
% 0.97/1.57 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.97/1.57 alpha39( X, Y, Z, T ), ! alpha6( X, Y, Z ),
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.97/1.57 X, Z ) ) = Y }.
% 0.97/1.57 { ! alpha39( X, Y, Z, T ), c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), T = c_Groups_Otimes__class_Otimes( X, Y
% 0.97/1.57 , c_Int_Onumber__class_Onumber__of( X, Z ) ) }.
% 0.97/1.57 { ! c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero
% 0.97/1.57 ( X ), alpha39( X, Y, Z, T ) }.
% 0.97/1.57 { ! T = c_Groups_Otimes__class_Otimes( X, Y,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha39( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha6( X, Y, Z ), ! c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.97/1.57 .
% 0.97/1.57 { c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero( X
% 0.97/1.57 ), alpha6( X, Y, Z ) }.
% 0.97/1.57 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha6( X, Y, Z ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__field( X ), c_Rings_Oinverse__class_Odivide( X
% 0.97/1.57 , c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, W,
% 0.97/1.57 U ), c_Groups_Otimes__class_Otimes( X, T, Z ) ), Y ) =
% 0.97/1.57 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W,
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X, U,
% 0.97/1.57 Z ), Y ) ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X, W,
% 0.97/1.57 T ), Y ), Z ) ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ) ) = Y }
% 0.97/1.57 .
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ), Y ) = Y
% 0.97/1.57 }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.57 Z ) ), Y ) = c_Groups_Otimes__class_Otimes( X,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, c_Groups_Ouminus__class_Ouminus(
% 0.97/1.57 tc_Int_Oint, Z ) ), Y ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X,
% 0.97/1.57 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Z ) ) ), Y =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.57 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, X ), X ) =
% 0.97/1.57 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.97/1.57 { ! c_Nat_OSuc( Y ) = c_Nat_OSuc( X ), Y = X }.
% 0.97/1.57 { ! c_Nat_OSuc( Y ) = c_Nat_OSuc( X ), Y = X }.
% 0.97/1.57 { ! Y = X, c_Nat_OSuc( Y ) = c_Nat_OSuc( X ) }.
% 0.97/1.57 { ! c_Nat_OSuc( X ) = X }.
% 0.97/1.57 { ! X = c_Nat_OSuc( X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, X ) }.
% 0.97/1.57 { Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ), ! Y = X }.
% 0.97/1.57 { Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! X = Y }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.97/1.57 { alpha102( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z ),
% 0.97/1.57 hBOOL( hAPP( hAPP( X, Y ), Z ) ) }.
% 0.97/1.57 { alpha102( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP(
% 0.97/1.57 hAPP( X, Y ), Z ) ) }.
% 0.97/1.57 { ! alpha102( X, Y, Z ), alpha104( X, Y, Z ), Z = Y }.
% 0.97/1.57 { ! alpha102( X, Y, Z ), alpha104( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ),
% 0.97/1.57 Z ) ) }.
% 0.97/1.57 { ! alpha104( X, Y, Z ), alpha102( X, Y, Z ) }.
% 0.97/1.57 { ! Z = Y, hBOOL( hAPP( hAPP( X, Y ), Z ) ), alpha102( X, Y, Z ) }.
% 0.97/1.57 { ! alpha104( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y )
% 0.97/1.57 }.
% 0.97/1.57 { ! alpha104( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ), hBOOL( hAPP( hAPP(
% 0.97/1.57 X, Y ), Z ) ), alpha104( X, Y, Z ) }.
% 0.97/1.57 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) }.
% 0.97/1.57 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, c_Groups_Oplus__class_Oplus
% 0.97/1.57 ( tc_Nat_Onat, Y, X ) ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.97/1.57 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.57 tc_Nat_Onat, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.57 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ), Y = X }.
% 0.97/1.57 { ! Y = X, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) }.
% 0.97/1.57 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ), Z = X }.
% 0.97/1.57 { ! Z = X, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Y ), Y = X }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ) }.
% 0.97/1.57 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Y ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, X ) }.
% 0.97/1.57 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.97/1.57 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ), Y ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.97/1.57 X, Y ) ) ), alpha40( X, Y, Z, T ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.97/1.57 X, Y ) ) ), alpha66( X, Y, Z, T ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 class_Int_Onumber( X ), ! alpha40( X, Y, Z, T ), ! alpha66( X, Y, Z, T )
% 0.97/1.57 , c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.57 , Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.97/1.57 { ! alpha66( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.57 ) ), alpha78( X, Y, Z, T ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha66( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha78( X, Y, Z, T ), alpha66( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha78( X, Y, Z, T ), alpha90( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha78( X, Y, Z, T ), alpha7( X, Y, T ) }.
% 0.97/1.57 { ! alpha90( X, Y, Z, T ), ! alpha7( X, Y, T ), alpha78( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha90( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.57 ) ), c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes
% 0.97/1.57 ( X, T, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.57 ), c_Groups_Ozero__class_Ozero( X ) ), alpha90( X, Y, Z, T ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.57 T, c_Int_Onumber__class_Onumber__of( X, Y ) ) ), alpha90( X, Y, Z, T ) }
% 0.97/1.57 .
% 0.97/1.57 { ! alpha40( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.57 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X
% 0.97/1.57 , T, c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha40( X, Y, Z, T ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ), alpha40( X, Y, Z, T ) }
% 0.97/1.57 .
% 0.97/1.57 { ! alpha7( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.57 ) ), c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.97/1.57 ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.57 Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha7( X, Y, Z ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.57 , alpha7( X, Y, Z ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 0.97/1.57 ( X, Z, Y ) ), alpha41( X, Y, Z, T ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 0.97/1.57 ( X, Z, Y ) ), alpha67( X, Y, Z, T ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 class_Int_Onumber( X ), ! alpha41( X, Y, Z, T ), ! alpha67( X, Y, Z, T )
% 0.97/1.57 , c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.57 T ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.57 { ! alpha67( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), Y ), alpha79( X, Y, Z, T ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.97/1.57 , alpha67( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha79( X, Y, Z, T ), alpha67( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha79( X, Y, Z, T ), alpha91( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha79( X, Y, Z, T ), alpha8( X, Y, T ) }.
% 0.97/1.57 { ! alpha91( X, Y, Z, T ), ! alpha8( X, Y, T ), alpha79( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha91( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.97/1.57 ), Y ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.57 alpha91( X, Y, Z, T ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, T ), Y ) ), alpha91( X, Y, Z, T ) }
% 0.97/1.57 .
% 0.97/1.57 { ! alpha41( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.97/1.57 ), Y ), Z ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.57 alpha41( X, Y, Z, T ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, T ), Y ), Z ), alpha41( X, Y, Z, T )
% 0.97/1.57 }.
% 0.97/1.57 { ! alpha8( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.57 ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.57 , alpha8( X, Y, Z ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.57 Z ), c_Groups_Ozero__class_Ozero( X ) ), alpha8( X, Y, Z ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha42( X, Y, Z, T ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha68( X, Y, Z, T ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 class_Int_Onumber( X ), ! alpha42( X, Y, Z, T ), ! alpha68( X, Y, Z, T )
% 0.97/1.57 , c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T
% 0.97/1.57 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.57 { ! alpha68( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), Z ), alpha80( X, Y, Z, T ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.97/1.57 , alpha68( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha80( X, Y, Z, T ), alpha68( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha80( X, Y, Z, T ), alpha92( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha80( X, Y, Z, T ), alpha9( X, Y, Z ) }.
% 0.97/1.57 { ! alpha92( X, Y, Z, T ), ! alpha9( X, Y, Z ), alpha80( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha92( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.57 ), Z ), T ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.57 alpha92( X, Y, Z, T ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ), Z ), T ), alpha92( X, Y, Z, T )
% 0.97/1.57 }.
% 0.97/1.57 { ! alpha42( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 T, c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.57 , Y ), Z ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.97/1.57 alpha42( X, Y, Z, T ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ), Z ) ), alpha42( X, Y, Z, T ) }
% 0.97/1.57 .
% 0.97/1.57 { ! alpha9( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.57 ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.57 , alpha9( X, Y, Z ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha9( X, Y, Z ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.97/1.57 X, Z ) ), Y ), alpha43( X, Y, Z, T ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.97/1.57 X, Z ) ), Y ), alpha69( X, Y, Z, T ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 class_Int_Onumber( X ), ! alpha43( X, Y, Z, T ), ! alpha69( X, Y, Z, T )
% 0.97/1.57 , c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T
% 0.97/1.57 , c_Int_Onumber__class_Onumber__of( X, Z ) ), Y ) }.
% 0.97/1.57 { ! alpha69( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 0.97/1.57 ) ), alpha81( X, Y, Z, T ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha69( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha81( X, Y, Z, T ), alpha69( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha81( X, Y, Z, T ), alpha93( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha81( X, Y, Z, T ), alpha10( X, Y, Z ) }.
% 0.97/1.57 { ! alpha93( X, Y, Z, T ), ! alpha10( X, Y, Z ), alpha81( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha93( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.57 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X
% 0.97/1.57 , Y, c_Int_Onumber__class_Onumber__of( X, Z ) ), T ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.97/1.57 ), c_Groups_Ozero__class_Ozero( X ) ), alpha93( X, Y, Z, T ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Z ) ), T ), alpha93( X, Y, Z, T ) }
% 0.97/1.57 .
% 0.97/1.57 { ! alpha43( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 0.97/1.57 ) ), c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes
% 0.97/1.57 ( X, Y, c_Int_Onumber__class_Onumber__of( X, Z ) ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha43( X, Y, Z, T ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.57 Y, c_Int_Onumber__class_Onumber__of( X, Z ) ) ), alpha43( X, Y, Z, T ) }
% 0.97/1.57 .
% 0.97/1.57 { ! alpha10( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.57 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57 , Y ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.57 Z ), c_Groups_Ozero__class_Ozero( X ) ), alpha10( X, Y, Z ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.97/1.57 , alpha10( X, Y, Z ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.97/1.57 c_Groups_Oone__class_Oone( X ) ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.57 ) ) = c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( Y ) ) }.
% 0.97/1.57 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57 , Z = c_Groups_Ozero__class_Ozero( X ), c_Groups_Ominus__class_Ominus( X
% 0.97/1.57 , c_Rings_Oinverse__class_Oinverse( X, Y ),
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( X, Z ) ) =
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.97/1.57 ), c_Groups_Ominus__class_Ominus( X, Y, Z ) ),
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( X, Z ) ) ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.57 c_RealVector_Onorm__class_Onorm( X, Z ), c_Groups_Otimes__class_Otimes(
% 0.97/1.57 tc_RealDef_Oreal, Y, c_RealVector_Onorm__class_Onorm( X, T ) ) ), Z =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.97/1.57 X, Y ) ) ), alpha44( X, Y, Z, T ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.97/1.57 X, Y ) ) ), alpha70( X, Y, Z, T ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 class_Int_Onumber( X ), ! alpha44( X, Y, Z, T ), ! alpha70( X, Y, Z, T )
% 0.97/1.57 , c_Orderings_Oord__class_Oless__eq( X, T,
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.97/1.57 X, Y ) ) ) }.
% 0.97/1.57 { ! alpha70( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.57 ) ), alpha82( X, Y, Z, T ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha70( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha82( X, Y, Z, T ), alpha70( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha82( X, Y, Z, T ), alpha94( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha82( X, Y, Z, T ), alpha11( X, Y, T ) }.
% 0.97/1.57 { ! alpha94( X, Y, Z, T ), ! alpha11( X, Y, T ), alpha82( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha94( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.57 ) ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, T, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.57 , Y ) ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.57 ), c_Groups_Ozero__class_Ozero( X ) ), alpha94( X, Y, Z, T ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Otimes__class_Otimes
% 0.97/1.57 ( X, T, c_Int_Onumber__class_Onumber__of( X, Y ) ) ), alpha94( X, Y, Z, T
% 0.97/1.57 ) }.
% 0.97/1.57 { ! alpha44( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.57 ) ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes
% 0.97/1.57 ( X, T, c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha44( X, Y, Z, T ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.97/1.57 , T, c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ), alpha44( X, Y, Z, T
% 0.97/1.57 ) }.
% 0.97/1.57 { ! alpha11( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.57 ) ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.57 Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha11( X, Y, Z ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.97/1.57 ) ), alpha11( X, Y, Z ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 0.97/1.57 ( X, Z, Y ) ), alpha45( X, Y, Z, T ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 0.97/1.57 ( X, Z, Y ) ), alpha71( X, Y, Z, T ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 class_Int_Onumber( X ), ! alpha45( X, Y, Z, T ), ! alpha71( X, Y, Z, T )
% 0.97/1.57 , c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of
% 0.97/1.57 ( X, T ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.57 { ! alpha71( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), Y ), alpha83( X, Y, Z, T ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.97/1.57 , alpha71( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha83( X, Y, Z, T ), alpha71( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha83( X, Y, Z, T ), alpha95( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha83( X, Y, Z, T ), alpha12( X, Y, T ) }.
% 0.97/1.57 { ! alpha95( X, Y, Z, T ), ! alpha12( X, Y, T ), alpha83( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha95( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.57 , Z, c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of(
% 0.97/1.57 X, T ), Y ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.57 alpha95( X, Y, Z, T ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Otimes__class_Otimes
% 0.97/1.57 ( X, c_Int_Onumber__class_Onumber__of( X, T ), Y ) ), alpha95( X, Y, Z, T
% 0.97/1.57 ) }.
% 0.97/1.57 { ! alpha45( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless__eq
% 0.97/1.57 ( X, c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of(
% 0.97/1.57 X, T ), Y ), Z ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.57 alpha45( X, Y, Z, T ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.97/1.57 , c_Int_Onumber__class_Onumber__of( X, T ), Y ), Z ), alpha45( X, Y, Z, T
% 0.97/1.57 ) }.
% 0.97/1.57 { ! alpha12( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.57 , c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero(
% 0.97/1.57 X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.57 , alpha12( X, Y, Z ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of
% 0.97/1.57 ( X, Z ), c_Groups_Ozero__class_Ozero( X ) ), alpha12( X, Y, Z ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha46( X, Y, Z, T ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha72( X, Y, Z, T ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 class_Int_Onumber( X ), ! alpha46( X, Y, Z, T ), ! alpha72( X, Y, Z, T )
% 0.97/1.57 , c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide(
% 0.97/1.57 X, T, Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.57 { ! alpha72( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), Z ), alpha84( X, Y, Z, T ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.97/1.57 , alpha72( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha84( X, Y, Z, T ), alpha72( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha84( X, Y, Z, T ), alpha96( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha84( X, Y, Z, T ), alpha13( X, Y, Z ) }.
% 0.97/1.57 { ! alpha96( X, Y, Z, T ), ! alpha13( X, Y, Z ), alpha84( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha96( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.57 , c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.57 Y ), Z ), T ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.57 alpha96( X, Y, Z, T ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.97/1.57 , c_Int_Onumber__class_Onumber__of( X, Y ), Z ), T ), alpha96( X, Y, Z, T
% 0.97/1.57 ) }.
% 0.97/1.57 { ! alpha46( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless__eq
% 0.97/1.57 ( X, T, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Y ), Z ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.97/1.57 alpha46( X, Y, Z, T ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes
% 0.97/1.57 ( X, c_Int_Onumber__class_Onumber__of( X, Y ), Z ) ), alpha46( X, Y, Z, T
% 0.97/1.57 ) }.
% 0.97/1.57 { ! alpha13( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.57 , c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.57 Y ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.57 , alpha13( X, Y, Z ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57 , c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha13( X, Y, Z ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.97/1.57 X, Z ) ), Y ), alpha47( X, Y, Z, T ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.97/1.57 X, Z ) ), Y ), alpha73( X, Y, Z, T ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 class_Int_Onumber( X ), ! alpha47( X, Y, Z, T ), ! alpha73( X, Y, Z, T )
% 0.97/1.57 , c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide(
% 0.97/1.57 X, T, c_Int_Onumber__class_Onumber__of( X, Z ) ), Y ) }.
% 0.97/1.57 { ! alpha73( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 0.97/1.57 ) ), alpha85( X, Y, Z, T ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha73( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha85( X, Y, Z, T ), alpha73( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha85( X, Y, Z, T ), alpha97( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha85( X, Y, Z, T ), alpha14( X, Y, Z ) }.
% 0.97/1.57 { ! alpha97( X, Y, Z, T ), ! alpha14( X, Y, Z ), alpha85( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha97( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.57 ) ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes
% 0.97/1.57 ( X, Y, c_Int_Onumber__class_Onumber__of( X, Z ) ), T ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.97/1.57 ), c_Groups_Ozero__class_Ozero( X ) ), alpha97( X, Y, Z, T ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.97/1.57 , Y, c_Int_Onumber__class_Onumber__of( X, Z ) ), T ), alpha97( X, Y, Z, T
% 0.97/1.57 ) }.
% 0.97/1.57 { ! alpha47( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 0.97/1.57 ) ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Y, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.57 , Z ) ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha47( X, Y, Z, T ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes
% 0.97/1.57 ( X, Y, c_Int_Onumber__class_Onumber__of( X, Z ) ) ), alpha47( X, Y, Z, T
% 0.97/1.57 ) }.
% 0.97/1.57 { ! alpha14( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.57 ) ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.97/1.57 X ), Y ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.57 Z ), c_Groups_Ozero__class_Ozero( X ) ), alpha14( X, Y, Z ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57 , Y ), alpha14( X, Y, Z ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.97/1.57 ) ) ) ) = c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 0.97/1.57 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.97/1.57 ) ) ), Y ) = c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 0.97/1.57 { ! class_RealVector_Oreal__normed__field( X ), Y =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X,
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( X, Y ),
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( X, Z ) ), T ) =
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.97/1.57 ), c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X
% 0.97/1.57 , Y, Z ), T ) ), c_Rings_Oinverse__class_Oinverse( X, Z ) ) ) }.
% 0.97/1.57 { ! Z = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.57 c_Int_OBit1( c_Int_OPls ) ) ), X ) ), c_Groups_Otimes__class_Otimes(
% 0.97/1.57 tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 0.97/1.57 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ), Z ) =
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) }.
% 0.97/1.57 { ! c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.57 c_Int_OBit1( c_Int_OPls ) ) ), Z ) = c_Rings_Oinverse__class_Odivide(
% 0.97/1.57 tc_RealDef_Oreal, Y, X ), Z = c_Rings_Oinverse__class_Odivide(
% 0.97/1.57 tc_RealDef_Oreal, Y, c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.57 c_Int_OBit1( c_Int_OPls ) ) ), X ) ) }.
% 0.97/1.57 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OPls ) =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.57 { c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) =
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OPls ) }.
% 0.97/1.57 { ! c_Nat_OSuc( X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.57 { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) = c_Nat_OSuc( X ) }.
% 0.97/1.57 { ! c_Nat_OSuc( X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.57 { ! c_Nat_OSuc( X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.57 { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) = c_Nat_OSuc( X ) }.
% 0.97/1.57 { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) = c_Nat_OSuc( X ) }.
% 0.97/1.57 { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.57 tc_Nat_Onat ), X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! X =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.97/1.57 { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.57 tc_Nat_Onat ), X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.57 ( tc_Nat_Onat ), X ), ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }
% 0.97/1.57 .
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.97/1.57 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.57 tc_Nat_Onat ), X ) = X }.
% 0.97/1.57 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, c_Groups_Ozero__class_Ozero
% 0.97/1.57 ( tc_Nat_Onat ) ) = X }.
% 0.97/1.57 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.57 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.57 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), ! X =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.97/1.57 tc_Nat_Onat, Y, X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.57 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = Y, X =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc
% 0.97/1.57 ( X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), Y = X }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), Z ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), c_Nat_OSuc( Y ) = X
% 0.97/1.57 , c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ), X = Y }
% 0.97/1.57 .
% 0.97/1.57 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ), Y = X }
% 0.97/1.57 .
% 0.97/1.57 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X,
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc
% 0.97/1.57 ( X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc(
% 0.97/1.57 X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), Y = X }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.97/1.57 { ! Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) )
% 0.97/1.57 }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.57 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.97/1.57 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) =
% 0.97/1.57 c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.57 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) =
% 0.97/1.57 c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.57 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) =
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Ozero__class_Ozero(
% 0.97/1.57 tc_Int_Oint ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = c_Nat_OSuc( X
% 0.97/1.57 ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ),
% 0.97/1.57 c_Nat_OSuc( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X )
% 0.97/1.57 }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ),
% 0.97/1.57 c_Nat_OSuc( X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = c_Nat_OSuc( X
% 0.97/1.57 ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.97/1.57 { ! Y = c_Nat_OSuc( X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 0.97/1.57 , c_Nat_OSuc( X ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( X ), Y ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( X ), Y ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( X ), X ) }
% 0.97/1.57 .
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.97/1.57 ( tc_Nat_Onat, Y, X ), Y ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.97/1.57 ( tc_Nat_Onat, Y, X ), X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.97/1.57 ( tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) )
% 0.97/1.57 , c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.57 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }
% 0.97/1.57 .
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.57 tc_Nat_Onat, Y, Z ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }
% 0.97/1.57 .
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.57 tc_Nat_Onat, Y, T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }
% 0.97/1.57 .
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, T, X ) =
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.97/1.57 ( tc_Nat_Onat, Y, Z ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y
% 0.97/1.57 , X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.57 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = X,
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), Y = X }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.57 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = X,
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.97/1.57 { ! c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), !
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y = X }.
% 0.97/1.57 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, X ) =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.57 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) = X }.
% 0.97/1.57 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.57 tc_Nat_Onat ), X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), X =
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol21( X, Y ) ) }.
% 0.97/1.57 { ! X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, T ),
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ), X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.57 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.97/1.57 ( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ), c_Nat_OSuc( X ) ) =
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.97/1.57 ( tc_Nat_Onat, Z, Y ), X ) }.
% 0.97/1.57 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc(
% 0.97/1.57 X ) ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.97/1.57 ( tc_Nat_Onat, Z, X ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.97/1.57 ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.97/1.57 ( tc_Nat_Onat, Y, Z ), X ) }.
% 0.97/1.57 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.57 tc_Nat_Onat, Y, X ), X ) = Y }.
% 0.97/1.57 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.57 tc_Nat_Onat, Y, X ), Y ) = X }.
% 0.97/1.57 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.97/1.57 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.97/1.57 Z, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.57 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.57 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) =
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) }.
% 0.97/1.57 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.57 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) =
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ),
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ),
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ),
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.97/1.58 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.97/1.58 ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X = Z }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), ! X = Z,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) = Y }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, Z ),
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ),
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ) }.
% 0.97/1.58 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ), Y ) }.
% 0.97/1.58 { ! class_Int_Onumber__ring( X ), c_Groups_Ozero__class_Ozero( X ) =
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58 ( tc_Nat_Onat ), X ), X = c_Nat_OSuc( skol22( X ) ) }.
% 0.97/1.58 { ! X = c_Nat_OSuc( Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc(
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), X =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.58 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc(
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ), Y =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha15( X, Y ) }.
% 0.97/1.58 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.97/1.58 { ! alpha15( X, Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.97/1.58 c_Nat_OSuc( X ) ) }.
% 0.97/1.58 { ! alpha15( X, Y ), Y = c_Nat_OSuc( skol23( Z, Y ) ) }.
% 0.97/1.58 { ! alpha15( X, Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, skol23( X
% 0.97/1.58 , Y ), X ) }.
% 0.97/1.58 { ! Y = c_Nat_OSuc( Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X
% 0.97/1.58 ), alpha15( X, Y ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( c_Nat_OSuc(
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) ), X =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X = c_Nat_OSuc(
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.97/1.58 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), alpha16( X, Y ), alpha48( X
% 0.97/1.58 , Y ) }.
% 0.97/1.58 { ! alpha16( X, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.97/1.58 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.97/1.58 { ! alpha48( X, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.97/1.58 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.97/1.58 { ! alpha48( X, Y ), Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.58 { ! alpha48( X, Y ), X = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.97/1.58 tc_Nat_Onat ) ) }.
% 0.97/1.58 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), ! X = c_Nat_OSuc(
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), alpha48( X, Y ) }.
% 0.97/1.58 { ! alpha16( X, Y ), Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.97/1.58 tc_Nat_Onat ) ) }.
% 0.97/1.58 { ! alpha16( X, Y ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.58 { ! Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), ! X =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha16( X, Y ) }.
% 0.97/1.58 { ! c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ), alpha17( X, Y ),
% 0.97/1.58 alpha49( X, Y ) }.
% 0.97/1.58 { ! alpha17( X, Y ), c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.97/1.58 ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58 { ! alpha49( X, Y ), c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.97/1.58 ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58 { ! alpha49( X, Y ), Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.58 { ! alpha49( X, Y ), X = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.97/1.58 tc_Nat_Onat ) ) }.
% 0.97/1.58 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), ! X = c_Nat_OSuc(
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), alpha49( X, Y ) }.
% 0.97/1.58 { ! alpha17( X, Y ), Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.97/1.58 tc_Nat_Onat ) ) }.
% 0.97/1.58 { ! alpha17( X, Y ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.58 { ! Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), ! X =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha17( X, Y ) }.
% 0.97/1.58 { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) =
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ),
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) =
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) }.
% 0.97/1.58 { ! c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ),
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58 ( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.58 tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58 ( tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.97/1.58 tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.97/1.58 tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), X = c_Nat_OSuc(
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol24( X, Y ) ) ) }.
% 0.97/1.58 { ! X = c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc(
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) ) }.
% 0.97/1.58 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc(
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ), X = Y }
% 0.97/1.58 .
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), ! X = Y,
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ), alpha18( X, Y ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.97/1.58 { ! alpha18( X, Y ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.97/1.58 { ! alpha18( X, Y ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.97/1.58 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), alpha18( X, Y ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ), alpha18( X
% 0.97/1.58 , Y ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.97/1.58 ( tc_Nat_Onat, Y, X ), Y ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58 ( tc_Nat_Onat ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.58 tc_Nat_Onat ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.58 { c_Groups_Oone__class_Oone( tc_Nat_Onat ) = c_Nat_OSuc(
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.97/1.58 { c_Groups_Oone__class_Oone( tc_Nat_Onat ) =
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 0.97/1.58 ) }.
% 0.97/1.58 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 0.97/1.58 ) = c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.97/1.58 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.58 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.97/1.58 ( tc_Nat_Onat, Y, X ), c_Nat_OSuc( Y ) ) }.
% 0.97/1.58 { ! c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.58 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oone__class_Oone(
% 0.97/1.58 tc_Int_Oint ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oplus__class_Oplus(
% 0.97/1.58 tc_Int_Oint, X, Y ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( X ), Y ) =
% 0.97/1.58 c_Nat_OSuc( c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.58 tc_Nat_Onat, Z, X ), Y ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.97/1.58 ( tc_Nat_Onat, Z, X ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z
% 0.97/1.58 , c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.58 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) = Y }.
% 0.97/1.58 { c_Nat_OSuc( X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.97/1.58 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) }.
% 0.97/1.58 { c_Nat_OSuc( X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Oone__class_Oone( tc_Nat_Onat ), X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.97/1.58 ( tc_Nat_Onat, Y, Z ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z )
% 0.97/1.58 ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.97/1.58 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.97/1.58 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.97/1.58 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.97/1.58 ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.58 tc_Nat_Onat, X, Z ), Y ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), Z ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.97/1.58 tc_Nat_Onat, X, Y ), Z ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ), Y ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.58 tc_Nat_Onat, Z, X ), Y ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) = Z, X =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), ! X =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) = Z }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.97/1.58 tc_Nat_Onat, X, Y ), Y ) = X }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.58 tc_Nat_Onat, Z, X ), Y ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) = X }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.58 tc_Nat_Onat, X, Z ), Y ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.58 tc_Nat_Onat, Z, Y ), X ) }.
% 0.97/1.58 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) =
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.97/1.58 ( tc_Nat_Onat, Y, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ), X ) }.
% 0.97/1.58 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( X ),
% 0.97/1.58 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) = X }.
% 0.97/1.58 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.58 , c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, T, Z )
% 0.97/1.58 ), Y ), c_Orderings_Oord__class_Oless( X, c_Groups_Ominus__class_Ominus
% 0.97/1.58 ( X, Z, Y ), T ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.58 , c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, T, Z )
% 0.97/1.58 ), Y ), c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus
% 0.97/1.58 ( X, Z, Y ) ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.58 , c_Groups_Ominus__class_Ominus( X, Z, Y ), T ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.97/1.58 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oabs__class_Oabs( X,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, T, Z ) ), Y ) }.
% 0.97/1.58 { ! class_Int_Onumber__ring( X ), c_Groups_Oone__class_Oone( X ) =
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ) }.
% 0.97/1.58 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 0.97/1.58 ) = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.97/1.58 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OBit1(
% 0.97/1.58 c_Int_OPls ) ) ) = c_Nat_OSuc( c_Nat_OSuc( c_Nat_OSuc(
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) ) }.
% 0.97/1.58 { c_Nat_OSuc( c_Nat_OSuc( c_Nat_OSuc( X ) ) ) = c_Groups_Oplus__class_Oplus
% 0.97/1.58 ( tc_Nat_Onat, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1
% 0.97/1.58 ( c_Int_OBit1( c_Int_OPls ) ) ), X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58 ( tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.58 tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58 ( tc_Nat_Onat ), X ), c_Nat_OSuc( c_Groups_Ominus__class_Ominus(
% 0.97/1.58 tc_Nat_Onat, X, c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) )
% 0.97/1.58 ) ) = X }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ), X ) }.
% 0.97/1.58 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.97/1.58 , ! alpha19( X, Y, Z ) }.
% 0.97/1.58 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.97/1.58 , ! alpha50( X, Y, Z ) }.
% 0.97/1.58 { alpha19( X, Y, Z ), alpha50( X, Y, Z ), hBOOL( hAPP( Z,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) ) }.
% 0.97/1.58 { ! alpha50( X, Y, Z ), ! hBOOL( hAPP( Z, skol25( T, U, Z ) ) ) }.
% 0.97/1.58 { ! alpha50( X, Y, Z ), Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.97/1.58 skol25( X, Y, Z ) ) }.
% 0.97/1.58 { ! Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, T ), hBOOL( hAPP( Z, T
% 0.97/1.58 ) ), alpha50( X, Y, Z ) }.
% 0.97/1.58 { ! alpha19( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X )
% 0.97/1.58 }.
% 0.97/1.58 { ! alpha19( X, Y, Z ), ! hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero(
% 0.97/1.58 tc_Nat_Onat ) ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), hBOOL( hAPP( Z,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), alpha19( X, Y, Z ) }.
% 0.97/1.58 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.97/1.58 , alpha20( X, Y, Z ) }.
% 0.97/1.58 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.97/1.58 , alpha51( X, Y, Z ) }.
% 0.97/1.58 { ! alpha20( X, Y, Z ), ! alpha51( X, Y, Z ), hBOOL( hAPP( Z,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) ) }.
% 0.97/1.58 { ! alpha51( X, Y, Z ), ! Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.97/1.58 T ), hBOOL( hAPP( Z, T ) ) }.
% 0.97/1.58 { ! hBOOL( hAPP( Z, skol26( T, U, Z ) ) ), alpha51( X, Y, Z ) }.
% 0.97/1.58 { Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, skol26( X, Y, Z ) ),
% 0.97/1.58 alpha51( X, Y, Z ) }.
% 0.97/1.58 { ! alpha20( X, Y, Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X
% 0.97/1.58 ), hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) }.
% 0.97/1.58 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), alpha20( X, Y, Z ) }
% 0.97/1.58 .
% 0.97/1.58 { ! hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), alpha20
% 0.97/1.58 ( X, Y, Z ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc(
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ), Z ) =
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( X ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, c_Nat_OSuc(
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) ) =
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.58 tc_Nat_Onat, Z, Y ), c_Nat_OSuc( X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) }.
% 0.97/1.58 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) }.
% 0.97/1.58 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 0.97/1.58 { c_Nat_OSuc( c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) =
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.58 c_Int_OPls ) ) ) }.
% 0.97/1.58 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.58 c_Int_OPls ) ) ) = c_Nat_OSuc( c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.97/1.58 tc_Nat_Onat ) ) ) }.
% 0.97/1.58 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.58 c_Int_OPls ) ) ) ) = c_Nat_OSuc( c_Nat_OSuc( X ) ) }.
% 0.97/1.58 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.58 c_Int_OPls ) ) ), X ) = c_Nat_OSuc( c_Nat_OSuc( X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OPls ), X ),
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) =
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 0.97/1.58 ) ) ) }.
% 0.97/1.58 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit1( c_Int_OBit1(
% 0.97/1.58 c_Int_OPls ) ) ) ) }.
% 0.97/1.58 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Oone__class_Oone(
% 0.97/1.58 tc_Nat_Onat ), c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) =
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.58 c_Int_OPls ) ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58 ( tc_Nat_Onat ), X ), X = c_Nat_OSuc( c_Groups_Ominus__class_Ominus(
% 0.97/1.58 tc_Nat_Onat, X, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58 ( tc_Nat_Onat ), X ), c_Nat_OSuc( c_Groups_Ominus__class_Ominus(
% 0.97/1.58 tc_Nat_Onat, X, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) = X }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58 ( tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) = c_Nat_OSuc(
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ),
% 0.97/1.58 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) }.
% 0.97/1.58 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = X }.
% 0.97/1.58 { Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.97/1.58 tc_Nat_Onat, Y, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ), X ) ) }.
% 0.97/1.58 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.58 tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0
% 0.97/1.58 ( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__semiring__1__strict( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, T, Y ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), U ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), W
% 0.97/1.58 ), ! c_Groups_Oplus__class_Oplus( X, U, W ) = c_Groups_Oone__class_Oone
% 0.97/1.58 ( X ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.97/1.58 X, W, T ) ), Y ) }.
% 0.97/1.58 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol27 ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.58 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ) ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.58 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ),
% 0.97/1.58 skol27 ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.58 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 0.97/1.58 tc_Complex_Ocomplex, v_p, X ), c_Polynomial_Opoly( tc_Complex_Ocomplex,
% 0.97/1.58 v_p, v_z____ ) ) ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.58 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.58 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.58 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.97/1.58 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Int_Onumber__class_Onumber__of(
% 0.97/1.58 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( X ) ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit1( X ) ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Oone__class_Oone( X ) )
% 0.97/1.58 , c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.97/1.58 ), c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless__eq(
% 0.97/1.58 X, Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Groups_Oone__class_Oone( X ), Y ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X
% 0.97/1.58 , Y ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), Y ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.97/1.58 ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) =
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y ) }.
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Otimes__class_Otimes
% 0.97/1.58 ( tc_Int_Oint, Z, Y ), X ) = c_Groups_Otimes__class_Otimes( tc_Int_Oint,
% 0.97/1.58 Z, c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.97/1.58 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ), Z = X, Y =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.58 { ! Z = X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 0.97/1.58 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 0.97/1.58 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ), Y = X, Z =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.58 { ! Y = X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 0.97/1.58 { ! Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 0.97/1.58 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.58 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.58 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.58 tc_Nat_Onat ), X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Int_OPls, X ) = c_Int_OPls
% 0.97/1.58 }.
% 0.97/1.58 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ) =
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), X ), Y = X }
% 0.97/1.58 .
% 0.97/1.58 { ! Y = X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), Y )
% 0.97/1.58 = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), X ) }.
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Int_OBit0( Y ), X ) =
% 0.97/1.58 c_Int_OBit0( c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) )
% 0.97/1.58 }.
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.58 tc_Nat_Onat, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, T ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, Z ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ) ) }.
% 0.97/1.58 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, X ) ) ) }.
% 0.97/1.58 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, X ) ) }.
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Oone__class_Oone(
% 0.97/1.58 tc_Int_Oint ), X ) = X }.
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, c_Groups_Oone__class_Oone
% 0.97/1.58 ( tc_Int_Oint ) ) = X }.
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.97/1.58 tc_Int_Oint, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Int_Oint, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ) )
% 0.97/1.58 }.
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_Int_Oint,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) =
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.97/1.58 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) =
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 0.97/1.58 ( tc_Nat_Onat, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X )
% 0.97/1.58 ) }.
% 0.97/1.58 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.97/1.58 c_Groups_Oone__class_Oone( tc_Nat_Onat ), Y = c_Groups_Oone__class_Oone(
% 0.97/1.58 tc_Nat_Onat ) }.
% 0.97/1.58 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.97/1.58 c_Groups_Oone__class_Oone( tc_Nat_Onat ), X = c_Groups_Oone__class_Oone(
% 0.97/1.58 tc_Nat_Onat ) }.
% 0.97/1.58 { ! Y = c_Groups_Oone__class_Oone( tc_Nat_Onat ), ! X =
% 0.97/1.58 c_Groups_Oone__class_Oone( tc_Nat_Onat ), c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, Y, X ) = c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, c_Groups_Oone__class_Oone
% 0.97/1.58 ( tc_Nat_Onat ) ) = X }.
% 0.97/1.58 { ! c_Groups_Oone__class_Oone( tc_Nat_Onat ) =
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ), Y =
% 0.97/1.58 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.97/1.58 { ! c_Groups_Oone__class_Oone( tc_Nat_Onat ) =
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ), X =
% 0.97/1.58 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.97/1.58 { ! Y = c_Groups_Oone__class_Oone( tc_Nat_Onat ), ! X =
% 0.97/1.58 c_Groups_Oone__class_Oone( tc_Nat_Onat ), c_Groups_Oone__class_Oone(
% 0.97/1.58 tc_Nat_Onat ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Oone__class_Oone(
% 0.97/1.58 tc_Nat_Onat ), X ) = X }.
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_Int_Oint,
% 0.97/1.58 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ), X ) =
% 0.97/1.58 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Ominus__class_Ominus
% 0.97/1.58 ( tc_Int_Oint, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Int_Oint,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ) ) =
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Groups_Otimes__class_Otimes
% 0.97/1.58 ( tc_Int_Oint, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X )
% 0.97/1.58 ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, c_Int_OPls ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Z ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ), X ) ) =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.58 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, c_Int_OPls ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Z ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ), X ) ) =
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ) ), X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.58 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.97/1.58 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y = c_Nat_OSuc(
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.97/1.58 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X = c_Nat_OSuc(
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.97/1.58 { ! Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), ! X =
% 0.97/1.58 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58 ( tc_Nat_Onat ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.58 tc_Nat_Onat ), Y ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58 ( tc_Nat_Onat ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.58 tc_Nat_Onat ), X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58 ( tc_Nat_Onat ), Y ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.58 tc_Nat_Onat ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.58 tc_Nat_Onat ), Z ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58 ( tc_Nat_Onat ), Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X
% 0.97/1.58 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.58 tc_Nat_Onat ), Y ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58 ( tc_Nat_Onat ), Y ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X
% 0.97/1.58 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.58 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, Z ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.58 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), X ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 0.97/1.58 ( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ), c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, c_Nat_OSuc( Z ), X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Otimes__class_Otimes
% 0.97/1.58 ( tc_Int_Oint, X, Y ) ) }.
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), X ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.97/1.58 tc_Int_Oint ), Z ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ) ) }.
% 0.97/1.58 { ! Y = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ), X =
% 0.97/1.58 c_Groups_Oone__class_Oone( tc_Nat_Onat ), Y = c_Groups_Ozero__class_Ozero
% 0.97/1.58 ( tc_Nat_Onat ) }.
% 0.97/1.58 { c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 0.97/1.58 , Y, X ) ) = c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.58 c_RealDef_Oreal( tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }
% 0.97/1.58 .
% 0.97/1.58 { ! c_Groups_Oabs__class_Oabs( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Int_Oint, X, Y ) ) = c_Groups_Oone__class_Oone( tc_Int_Oint ),
% 0.97/1.58 c_Groups_Oabs__class_Oabs( tc_Int_Oint, X ) = c_Groups_Oone__class_Oone(
% 0.97/1.58 tc_Int_Oint ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.58 tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X
% 0.97/1.58 ) }.
% 0.97/1.58 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.58 tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.58 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X
% 0.97/1.58 ) }.
% 0.97/1.58 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.58 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Int_OBit1( Y ), X ) =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit0(
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ), X ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.97/1.58 ( tc_Int_Oint ), X ), ! c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y
% 0.97/1.58 ) = c_Groups_Oone__class_Oone( tc_Int_Oint ), X =
% 0.97/1.58 c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.97/1.58 ( tc_Int_Oint ), X ), ! c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y
% 0.97/1.58 ) = c_Groups_Oone__class_Oone( tc_Int_Oint ), Y =
% 0.97/1.58 c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.97/1.58 ( tc_Int_Oint ), X ), ! X = c_Groups_Oone__class_Oone( tc_Int_Oint ), ! Y
% 0.97/1.58 = c_Groups_Oone__class_Oone( tc_Int_Oint ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y ) =
% 0.97/1.58 c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__idom( X ), Z = Y,
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, Y, Z ) }.
% 0.97/1.58 { ! class_Rings_Odivision__ring__inverse__zero( X ),
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( X, c_Rings_Oinverse__class_Oinverse( X
% 0.97/1.58 , Y ) ) = Y }.
% 0.97/1.58 { ! class_Rings_Odivision__ring__inverse__zero( X ), !
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( X, Z ) =
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( X, Y ), Z = Y }.
% 0.97/1.58 { ! class_Rings_Odivision__ring__inverse__zero( X ), ! Z = Y,
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( X, Z ) =
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( X, Y ) }.
% 0.97/1.58 { ! class_Rings_Odivision__ring__inverse__zero( X ), !
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( X, Z ) =
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( X, Y ), Z = Y }.
% 0.97/1.58 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.58 { Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.97/1.58 ( tc_Nat_Onat, Y, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ), X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.97/1.58 ( tc_Int_Oint ), X ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Z,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.97/1.58 tc_Int_Oint, c_Groups_Oabs__class_Oabs( tc_Int_Oint,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Z, Y ) ),
% 0.97/1.58 c_Groups_Oone__class_Oone( tc_Int_Oint ) ), X ) ), Y ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.97/1.58 ( tc_Int_Oint ), X ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Z,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.97/1.58 tc_Int_Oint, c_Groups_Oabs__class_Oabs( tc_Int_Oint,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, Z ) ),
% 0.97/1.58 c_Groups_Oone__class_Oone( tc_Int_Oint ) ), X ) ) ) }.
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.58 c_Int_OPls ) ) ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, X )
% 0.97/1.58 }.
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X,
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.97/1.58 c_Int_OPls ) ) ) ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, X ) }.
% 0.97/1.58 { ! class_Rings_Omult__zero( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 }.
% 0.97/1.58 { ! class_Rings_Omult__zero( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58 { ! class_Rings_Oring__no__zero__divisors( X ), !
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.97/1.58 ), Z = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero
% 0.97/1.58 ( X ) }.
% 0.97/1.58 { ! class_Rings_Oring__no__zero__divisors( X ), ! Z =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.97/1.58 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58 { ! class_Rings_Oring__no__zero__divisors( X ), ! Y =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.97/1.58 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58 { ! class_Rings_Ono__zero__divisors( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.97/1.58 X ), Z = c_Groups_Ozero__class_Ozero( X ), !
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Y, Z ) = c_Groups_Ozero__class_Ozero( X
% 0.97/1.58 ) }.
% 0.97/1.58 { ! class_Rings_Ono__zero__divisors( X ), ! c_Groups_Otimes__class_Otimes(
% 0.97/1.58 X, Z, Y ) = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.97/1.58 .
% 0.97/1.58 { ! class_Rings_Ozero__neq__one( X ), ! c_Groups_Oone__class_Oone( X ) =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58 { ! class_Rings_Ozero__neq__one( X ), ! c_Groups_Ozero__class_Ozero( X ) =
% 0.97/1.58 c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.58 { ! class_Rings_Ocomm__semiring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.97/1.58 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.97/1.58 { ! class_Rings_Osemiring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Oplus__class_Oplus( X
% 0.97/1.58 , c_Groups_Otimes__class_Otimes( X, Z, T ), Y ) ) =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, U, Z ), T ), Y ) }.
% 0.97/1.58 { ! class_Rings_Oring( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.97/1.58 Y ) ) }.
% 0.97/1.58 { ! class_Rings_Oring( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.97/1.58 , Y ) }.
% 0.97/1.58 { ! class_Rings_Oring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) =
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.97/1.58 Y ) ) }.
% 0.97/1.58 { ! class_Rings_Oring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Groups_Ouminus__class_Ouminus( X, Z ), c_Groups_Ouminus__class_Ouminus
% 0.97/1.58 ( X, Y ) ) = c_Groups_Otimes__class_Otimes( X, Z, Y ) }.
% 0.97/1.58 { ! class_Rings_Oidom( X ), ! c_Groups_Otimes__class_Otimes( X, Z, Z ) =
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Y, Y ), Z = Y, Z =
% 0.97/1.58 c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.97/1.58 { ! class_Rings_Oidom( X ), ! Z = Y, c_Groups_Otimes__class_Otimes( X, Z, Z
% 0.97/1.58 ) = c_Groups_Otimes__class_Otimes( X, Y, Y ) }.
% 0.97/1.58 { ! class_Rings_Oidom( X ), ! Z = c_Groups_Ouminus__class_Ouminus( X, Y ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Z, Z ) = c_Groups_Otimes__class_Otimes
% 0.97/1.58 ( X, Y, Y ) }.
% 0.97/1.58 { ! class_Rings_Odivision__ring__inverse__zero( X ),
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.58 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 }.
% 0.97/1.58 { ! class_Rings_Odivision__ring( X ), c_Groups_Otimes__class_Otimes( X, T,
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.97/1.58 Z ), Y ) }.
% 0.97/1.58 { ! class_Fields_Ofield__inverse__zero( X ), c_Groups_Otimes__class_Otimes
% 0.97/1.58 ( X, c_Rings_Oinverse__class_Odivide( X, U, T ),
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, c_Groups_Otimes__class_Otimes( X, U,
% 0.97/1.58 Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.97/1.58 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.97/1.58 ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ),
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.58 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, T, Z ), Y ) =
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.97/1.58 Y ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.58 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X, Y
% 0.97/1.58 , c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.97/1.58 { ! class_Fields_Ofield__inverse__zero( X ),
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( X, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58 { ! class_Rings_Odivision__ring__inverse__zero( X ),
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( X, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58 { ! class_Rings_Odivision__ring__inverse__zero( X ), !
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.97/1.58 ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58 { ! class_Rings_Odivision__ring__inverse__zero( X ), ! Y =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Oinverse( X, Y
% 0.97/1.58 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 , ! c_Rings_Oinverse__class_Oinverse( X, Y ) =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 , c_Rings_Oinverse__class_Oinverse( X, c_Rings_Oinverse__class_Oinverse(
% 0.97/1.58 X, Y ) ) = Y }.
% 0.97/1.58 { ! class_Rings_Odivision__ring( X ), ! c_Rings_Oinverse__class_Oinverse( X
% 0.97/1.58 , Y ) = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero
% 0.97/1.58 ( X ) }.
% 0.97/1.58 { ! class_Rings_Odivision__ring( X ), ! c_Rings_Oinverse__class_Oinverse( X
% 0.97/1.58 , Z ) = c_Rings_Oinverse__class_Oinverse( X, Y ), Z =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z
% 0.97/1.58 = Y }.
% 0.97/1.58 { ! class_Rings_Olinordered__idom( X ), c_Groups_Oabs__class_Oabs( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.97/1.58 c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__idom( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Groups_Oabs__class_Oabs( X, Y ), c_Groups_Oabs__class_Oabs( X, Y ) ) =
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Y, Y ) }.
% 0.97/1.58 { ! class_Fields_Ofield__inverse__zero( X ),
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X, Z
% 0.97/1.58 ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) =
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.97/1.58 { ! class_Rings_Odivision__ring( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X, Z
% 0.97/1.58 ), Y ) }.
% 0.97/1.58 { ! class_Fields_Ofield__inverse__zero( X ),
% 0.97/1.58 c_Groups_Ouminus__class_Ouminus( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.97/1.58 , Y ) ) = c_Rings_Oinverse__class_Odivide( X, Z,
% 0.97/1.58 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__idom( X ), c_Groups_Oabs__class_Oabs( X,
% 0.97/1.58 c_Groups_Oone__class_Oone( X ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.58 { ! class_Fields_Ofield__inverse__zero( X ),
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.97/1.58 , Y ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( X, Z ),
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.97/1.58 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Oinverse( X,
% 0.97/1.58 c_Groups_Oone__class_Oone( X ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.58 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( X, Y ) = c_Groups_Oone__class_Oone( X )
% 0.97/1.58 , Y = c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.58 { ! class_Fields_Ofield__inverse__zero( X ), ! Y =
% 0.97/1.58 c_Groups_Oone__class_Oone( X ), c_Rings_Oinverse__class_Oinverse( X, Y )
% 0.97/1.58 = c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.58 { ! class_Rings_Odivision__ring__inverse__zero( X ),
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( X, c_Groups_Ouminus__class_Ouminus( X,
% 0.97/1.58 Y ) ) = c_Groups_Ouminus__class_Ouminus( X,
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ),
% 0.97/1.58 c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Odivide( X, Z, Y )
% 0.97/1.58 ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oabs__class_Oabs( X, Z
% 0.97/1.58 ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.97/1.58 { ! class_Fields_Ofield__inverse__zero( X ),
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( X, c_Rings_Oinverse__class_Odivide( X,
% 0.97/1.58 Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X, Y, Z ) }.
% 0.97/1.58 { c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ) ) =
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, Y ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ),
% 0.97/1.58 c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Oinverse( X, Y ) )
% 0.97/1.58 = c_Rings_Oinverse__class_Oinverse( X, c_Groups_Oabs__class_Oabs( X, Y )
% 0.97/1.58 ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__ring( X ), c_Orderings_Oord__class_Oless__eq(
% 0.97/1.58 X, c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Y
% 0.97/1.58 , Y ) ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), alpha21( X, Y, Z ), alpha52(
% 0.97/1.58 X, Y, Z ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha21( X, Y, Z ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha52( X, Y, Z ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.97/1.58 { ! alpha52( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58 { ! alpha52( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.97/1.58 ) ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ), alpha52( X, Y, Z ) }.
% 0.97/1.58 { ! alpha21( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.97/1.58 { ! alpha21( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 , Z ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), Y ), alpha21( X, Y, Z ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.97/1.58 , Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha22( X, Y, Z ), alpha53( X
% 0.97/1.58 , Y, Z ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha22( X, Y, Z ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.97/1.58 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha53( X, Y, Z ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.97/1.58 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58 { ! alpha53( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58 { ! alpha53( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.97/1.58 ) ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.97/1.58 ( X ), Y ), alpha53( X, Y, Z ) }.
% 0.97/1.58 { ! alpha22( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.97/1.58 { ! alpha22( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 , Z ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ), alpha22( X, Y, Z ) }.
% 0.97/1.58 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.58 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.97/1.58 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Y, Z
% 0.97/1.58 ) ) }.
% 0.97/1.58 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.58 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.58 , c_Groups_Otimes__class_Otimes( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 0.97/1.58 X ) ) }.
% 0.97/1.58 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.58 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.58 , c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero(
% 0.97/1.58 X ) ) }.
% 0.97/1.58 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.97/1.58 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Y, Z ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.58 ) ) }.
% 0.97/1.58 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.58 , Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.97/1.58 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.97/1.58 { ! class_Rings_Oordered__semiring( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.97/1.58 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 X, Z, T ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.97/1.58 { ! class_Rings_Oordered__semiring( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.97/1.58 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.97/1.58 { ! class_Rings_Oordered__comm__semiring( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.97/1.58 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.97/1.58 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.58 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.58 , c_Groups_Otimes__class_Otimes( X, Y, T ), c_Groups_Otimes__class_Otimes
% 0.97/1.58 ( X, Z, T ) ) }.
% 0.97/1.58 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.58 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.58 , c_Groups_Otimes__class_Otimes( X, T, Y ), c_Groups_Otimes__class_Otimes
% 0.97/1.58 ( X, T, Z ) ) }.
% 0.97/1.58 { ! class_Rings_Oordered__semiring( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.97/1.58 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.97/1.58 X ), U ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Z, U ), c_Groups_Otimes__class_Otimes(
% 0.97/1.58 X, Y, T ) ) }.
% 0.97/1.58 { ! class_Rings_Oordered__semiring( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.58 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.97/1.58 X ), U ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Z, U ), c_Groups_Otimes__class_Otimes(
% 0.97/1.58 X, Y, T ) ) }.
% 0.97/1.58 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.58 , c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.58 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.97/1.58 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.97/1.58 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.58 , Z, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.97/1.58 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.97/1.58 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.97/1.58 ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.58 , c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero(
% 0.97/1.58 X ) ) }.
% 0.97/1.58 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.97/1.58 X ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.58 ) ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__ring( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.58 , c_Groups_Otimes__class_Otimes( X, Y, Y ), c_Groups_Ozero__class_Ozero(
% 0.97/1.58 X ) ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.97/1.58 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ), alpha23( X, Y, Z, T ),
% 0.97/1.58 alpha54( X, Y, Z, T ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha23( X, Y, Z, T ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.97/1.58 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha54( X, Y, Z, T ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.97/1.58 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.97/1.58 { ! alpha54( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58 { ! alpha54( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Y, T ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.58 , ! c_Orderings_Oord__class_Oless( X, Y, T ), alpha54( X, Y, Z, T ) }.
% 0.97/1.58 { ! alpha23( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.97/1.58 { ! alpha23( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.97/1.58 , ! c_Orderings_Oord__class_Oless( X, T, Y ), alpha23( X, Y, Z, T ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.97/1.58 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ), alpha24( X, Y, Z, T ),
% 0.97/1.58 alpha55( X, Y, Z, T ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha24( X, Y, Z, T ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.97/1.58 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha55( X, Y, Z, T ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.97/1.58 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.97/1.58 { ! alpha55( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58 { ! alpha55( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.58 , ! c_Orderings_Oord__class_Oless( X, Y, Z ), alpha55( X, Y, Z, T ) }.
% 0.97/1.58 { ! alpha24( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), T ) }.
% 0.97/1.58 { ! alpha24( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T )
% 0.97/1.58 , ! c_Orderings_Oord__class_Oless( X, Z, Y ), alpha24( X, Y, Z, T ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.58 ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.97/1.58 T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, T, Z ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.58 ! c_Orderings_Oord__class_Oless( X, T, Z ), c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.58 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.97/1.58 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.58 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.58 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.97/1.58 Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.58 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.58 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.97/1.58 Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ) }
% 0.97/1.58 .
% 0.97/1.58 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ) }
% 0.97/1.58 .
% 0.97/1.58 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.58 ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.97/1.58 T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.58 ! c_Orderings_Oord__class_Oless( X, Z, T ), c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.58 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.97/1.58 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.97/1.58 Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.58 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.58 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, c_Groups_Otimes__class_Otimes( X, Z, T ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__comm__semiring__strict( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, T, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Z, T ) ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, T, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, T, Z ) ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, T, Z ), c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, T, c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__semidom( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__semidom( X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.58 c_Groups_Oone__class_Oone( X ) ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, c_Groups_Oone__class_Oone( X ), c_Groups_Ozero__class_Ozero( X ) ) }
% 0.97/1.58 .
% 0.97/1.58 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.97/1.58 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.58 , Y, c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ) }
% 0.97/1.58 .
% 0.97/1.58 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.58 , Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.97/1.58 , Y, c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, c_Groups_Oone__class_Oone( X ), Z ), c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Groups_Oone__class_Oone( X ), c_Groups_Otimes__class_Otimes( X, Y, Z
% 0.97/1.58 ) ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.97/1.58 , Y, c_Groups_Oplus__class_Oplus( X, Y, c_Groups_Oone__class_Oone( X ) )
% 0.97/1.58 ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ), alpha25( X, Y, Z ), alpha56
% 0.97/1.58 ( X, Y, Z ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha25( X, Y, Z
% 0.97/1.58 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.97/1.58 ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha56( X, Y, Z
% 0.97/1.58 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.97/1.58 ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.58 { ! alpha56( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58 { ! alpha56( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.97/1.58 ) ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ), alpha56( X, Y, Z ) }.
% 0.97/1.58 { ! alpha25( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.97/1.58 { ! alpha25( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 , Z ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), Y ), alpha25( X, Y, Z ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.58 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha26( X, Y, Z ), alpha57
% 0.97/1.58 ( X, Y, Z ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha26( X, Y, Z
% 0.97/1.58 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.97/1.58 ( X, Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha57( X, Y, Z
% 0.97/1.58 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.97/1.58 ( X, Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58 { ! alpha57( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58 { ! alpha57( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.97/1.58 ) ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.97/1.58 ( X ), Y ), alpha57( X, Y, Z ) }.
% 0.97/1.58 { ! alpha26( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.97/1.58 { ! alpha26( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 , Z ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ), alpha26( X, Y, Z ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.97/1.58 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.97/1.58 ( X, Z, T ), c_Rings_Oinverse__class_Odivide( X, Y, T ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.97/1.58 ( X, Y, T ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.97/1.58 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.97/1.58 , Y ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ) = Y }.
% 0.97/1.58 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, W, Z
% 0.97/1.58 ), U ), T ) = Y, c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.97/1.58 , Y ) }.
% 0.97/1.58 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.97/1.58 , Y ), T = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes
% 0.97/1.58 ( X, c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) }.
% 0.97/1.58 { ! class_Rings_Oring( X ), ! T = c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, Z, W
% 0.97/1.58 ), U ), Y ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.97/1.58 , Y ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, Y, T ),
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, Z, T ),
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, Y, T ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, Z, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X
% 0.97/1.58 , Y, Z ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, c_Rings_Oinverse__class_Odivide( X, Y, Z ),
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, Z, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, c_Rings_Oinverse__class_Odivide( X, Y, Z ),
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X
% 0.97/1.58 , Y, Z ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Z,
% 0.97/1.58 Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha27( X, Y, Z ), alpha58( X,
% 0.97/1.58 Y, Z ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha27( X, Y, Z
% 0.97/1.58 ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.58 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha58( X, Y, Z
% 0.97/1.58 ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.58 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58 { ! alpha58( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58 { ! alpha58( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.58 , ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.58 ), alpha58( X, Y, Z ) }.
% 0.97/1.58 { ! alpha27( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.97/1.58 { ! alpha27( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.97/1.58 , ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 ), alpha27( X, Y, Z ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ), alpha28( X, Y, Z ), alpha59
% 0.97/1.58 ( X, Y, Z ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha28( X, Y, Z
% 0.97/1.58 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha59( X, Y, Z
% 0.97/1.58 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.58 { ! alpha59( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58 { ! alpha59( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.58 , ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 ), alpha59( X, Y, Z ) }.
% 0.97/1.58 { ! alpha28( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.97/1.58 { ! alpha28( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.97/1.58 , ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.58 ), alpha28( X, Y, Z ) }.
% 0.97/1.58 { ! class_Fields_Ofield__inverse__zero( X ), ! T =
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha60( X, Y, Z, T ) }.
% 0.97/1.58 { ! class_Fields_Ofield__inverse__zero( X ), ! T =
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha29( X, Y, T ) }.
% 0.97/1.58 { ! class_Fields_Ofield__inverse__zero( X ), ! alpha60( X, Y, Z, T ), !
% 0.97/1.58 alpha29( X, Y, T ), T = c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.97/1.58 { ! alpha60( X, Y, Z, T ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, T, Y ) = Z }.
% 0.97/1.58 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha60( X, Y, Z, T ) }.
% 0.97/1.58 { ! c_Groups_Otimes__class_Otimes( X, T, Y ) = Z, alpha60( X, Y, Z, T ) }.
% 0.97/1.58 { ! alpha29( X, Y, Z ), ! Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58 { Y = c_Groups_Ozero__class_Ozero( X ), alpha29( X, Y, Z ) }.
% 0.97/1.58 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha29( X, Y, Z ) }.
% 0.97/1.58 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y, alpha61( X, Y, Z, T ) }.
% 0.97/1.58 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y, alpha30( X, Y, Z ) }.
% 0.97/1.58 { ! class_Fields_Ofield__inverse__zero( X ), ! alpha61( X, Y, Z, T ), !
% 0.97/1.58 alpha30( X, Y, Z ), c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y }.
% 0.97/1.58 { ! alpha61( X, Y, Z, T ), Z = c_Groups_Ozero__class_Ozero( X ), T =
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Y, Z ) }.
% 0.97/1.58 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha61( X, Y, Z, T ) }.
% 0.97/1.58 { ! T = c_Groups_Otimes__class_Otimes( X, Y, Z ), alpha61( X, Y, Z, T ) }.
% 0.97/1.58 { ! alpha30( X, Y, Z ), ! Z = c_Groups_Ozero__class_Ozero( X ), Y =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58 { Z = c_Groups_Ozero__class_Ozero( X ), alpha30( X, Y, Z ) }.
% 0.97/1.58 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha30( X, Y, Z ) }.
% 0.97/1.58 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 , ! T = c_Rings_Oinverse__class_Odivide( X, Z, Y ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, T, Y ) = Z }.
% 0.97/1.58 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 , ! c_Groups_Otimes__class_Otimes( X, T, Y ) = Z, T =
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.97/1.58 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 , ! c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z, T =
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Z, Y ) }.
% 0.97/1.58 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 , ! T = c_Groups_Otimes__class_Otimes( X, Z, Y ),
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z }.
% 0.97/1.58 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, T, Y ), c_Groups_Otimes__class_Otimes(
% 0.97/1.58 X, Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.97/1.58 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Y, T ), c_Groups_Otimes__class_Otimes(
% 0.97/1.58 X, Y, Z ) ) = c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.97/1.58 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), ! c_Rings_Oinverse__class_Odivide( X, U
% 0.97/1.58 , Y ) = c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, U, Z ) = c_Groups_Otimes__class_Otimes
% 0.97/1.58 ( X, T, Y ) }.
% 0.97/1.58 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), ! c_Groups_Otimes__class_Otimes( X, U,
% 0.97/1.58 Z ) = c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, U, Y ) =
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.97/1.58 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 , ! T = c_Groups_Otimes__class_Otimes( X, Z, Y ),
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z }.
% 0.97/1.58 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 , ! c_Groups_Otimes__class_Otimes( X, T, Y ) = Z, T =
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.97/1.58 { ! class_Rings_Oring__1__no__zero__divisors( X ), !
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Y, Y ) = c_Groups_Oone__class_Oone( X )
% 0.97/1.58 , Y = c_Groups_Oone__class_Oone( X ), Y = c_Groups_Ouminus__class_Ouminus
% 0.97/1.58 ( X, c_Groups_Oone__class_Oone( X ) ) }.
% 0.97/1.58 { ! class_Rings_Oring__1__no__zero__divisors( X ), ! Y =
% 0.97/1.58 c_Groups_Oone__class_Oone( X ), c_Groups_Otimes__class_Otimes( X, Y, Y )
% 0.97/1.58 = c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.58 { ! class_Rings_Oring__1__no__zero__divisors( X ), ! Y =
% 0.97/1.58 c_Groups_Ouminus__class_Ouminus( X, c_Groups_Oone__class_Oone( X ) ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Y, Y ) = c_Groups_Oone__class_Oone( X )
% 0.97/1.58 }.
% 0.97/1.58 { ! class_Rings_Odivision__ring__inverse__zero( X ), ! Y =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.97/1.58 Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58 { ! class_Rings_Odivision__ring__inverse__zero( X ), Y =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.97/1.58 Y ) = c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.58 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 , c_Rings_Oinverse__class_Odivide( X, Y, Y ) = c_Groups_Oone__class_Oone
% 0.97/1.58 ( X ) }.
% 0.97/1.58 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 , ! c_Rings_Oinverse__class_Odivide( X, Z, Y ) =
% 0.97/1.58 c_Groups_Oone__class_Oone( X ), Z = Y }.
% 0.97/1.58 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 , ! Z = Y, c_Rings_Oinverse__class_Odivide( X, Z, Y ) =
% 0.97/1.58 c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( X, Y ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.58 ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.58 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.97/1.58 ), c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse( X
% 0.97/1.58 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.58 ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.97/1.58 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.97/1.58 , Y, c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.97/1.58 ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Oinverse( X
% 0.97/1.58 , Y ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Oinverse( X
% 0.97/1.58 , Y ) ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ) }
% 0.97/1.58 .
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Rings_Oinverse__class_Oinverse( X, Y ), c_Groups_Ozero__class_Ozero
% 0.97/1.58 ( X ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( X, Y ),
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( X, Y ),
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Rings_Oinverse__class_Oinverse( X, Y ), c_Groups_Ozero__class_Ozero
% 0.97/1.58 ( X ) ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ) }
% 0.97/1.58 .
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Rings_Oinverse__class_Oinverse( X, Z ),
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( X, Y ) ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Rings_Oinverse__class_Oinverse( X, Z ),
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( X, Y ) ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.58 , c_Groups_Oabs__class_Oabs( X, Z ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, c_Groups_Oabs__class_Oabs( X, U ), T ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, U ) ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.97/1.58 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 , c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.58 , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) =
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.97/1.58 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 , c_Groups_Ouminus__class_Ouminus( X, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.58 , Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X, Z,
% 0.97/1.58 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.97/1.58 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 , Z = c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Oinverse
% 0.97/1.58 ( X, c_Groups_Otimes__class_Otimes( X, Y, Z ) ) =
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, c_Rings_Oinverse__class_Oinverse( X, Z
% 0.97/1.58 ), c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.58 , c_Groups_Oabs__class_Oabs( X, Z ), Y ), c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, Z, Y ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.58 , c_Groups_Oabs__class_Oabs( X, Z ), Y ), c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.58 , Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.58 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Oabs__class_Oabs( X, Z ), Y )
% 0.97/1.58 }.
% 0.97/1.58 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 , c_Rings_Oinverse__class_Oinverse( X, c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.58 , Y ) ) = c_Groups_Ouminus__class_Ouminus( X,
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.97/1.58 X ), c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.97/1.58 , Y ) ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oabs__class_Oabs(
% 0.97/1.58 X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.97/1.58 { ! class_Rings_Odivision__ring( X ), ! c_Groups_Otimes__class_Otimes( X, Z
% 0.97/1.58 , Y ) = c_Groups_Oone__class_Oone( X ), c_Rings_Oinverse__class_Oinverse
% 0.97/1.58 ( X, Z ) = Y }.
% 0.97/1.58 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X, Z
% 0.97/1.58 , Y ) = c_Groups_Otimes__class_Otimes( X, Z,
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.97/1.58 { ! class_Fields_Ofield( X ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) =
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Z, c_Rings_Oinverse__class_Oinverse( X
% 0.97/1.58 , Y ) ) }.
% 0.97/1.58 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ), X =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.58 { ! X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.97/1.58 X ), c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.97/1.58 ) ) = c_Rings_Oinverse__class_Oinverse( X, c_Groups_Oabs__class_Oabs( X
% 0.97/1.58 , Y ) ) }.
% 0.97/1.58 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Oinverse( X,
% 0.97/1.58 Y ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X )
% 0.97/1.58 , Y ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.58 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.97/1.58 , Y, T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.58 ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Y
% 0.97/1.58 , T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.58 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.97/1.58 , Y, T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.58 ! c_Orderings_Oord__class_Oless__eq( X, Z, T ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Y
% 0.97/1.58 , T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, U, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.97/1.58 ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.97/1.58 , U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, U, T ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.97/1.58 ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.97/1.58 , U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.97/1.58 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 , U ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X
% 0.97/1.58 , Z, U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, U, T ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.97/1.58 ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.97/1.58 , U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__semiring( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Y, Z ) ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.97/1.58 ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.97/1.58 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.97/1.58 ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__semiring( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, T, Y ) ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.97/1.58 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.97/1.58 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.97/1.58 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 0.97/1.58 , Z ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 0.97/1.58 , Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.97/1.58 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.97/1.58 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Oone__class_Oone
% 0.97/1.58 ( X ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Y, Z ), Y ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.97/1.58 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.97/1.58 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Oone__class_Oone
% 0.97/1.58 ( X ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Z, Y ), Y ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.97/1.58 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ) ) }.
% 0.97/1.58 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.58 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U
% 0.97/1.58 ), T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.97/1.58 , Z, U ), Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ) }.
% 0.97/1.58 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.58 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.97/1.58 , Y ) ) }.
% 0.97/1.58 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.58 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U
% 0.97/1.58 ), T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.97/1.58 , Z, U ), Y ) ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ) }.
% 0.97/1.58 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.58 , T, c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.97/1.58 , Y ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.97/1.58 ) ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.97/1.58 X ), c_Rings_Oinverse__class_Odivide( X, Y, Z ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 , Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 0.97/1.58 X ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.58 ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.97/1.58 ! c_Orderings_Oord__class_Oless__eq( X, T, U ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.58 , Y, U ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.58 ), ! c_Orderings_Oord__class_Oless( X, Y, Z ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.97/1.58 ! c_Orderings_Oord__class_Oless__eq( X, T, U ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Y,
% 0.97/1.58 U ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Y, Z ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.97/1.58 ! c_Orderings_Oord__class_Oless( X, T, U ), c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, c_Rings_Oinverse__class_Odivide( X, Y, U ),
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.58 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.97/1.58 ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 0.97/1.58 X ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.58 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 , Z ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.97/1.58 ( X ), c_Rings_Oinverse__class_Odivide( X, Y, Z ) ) }.
% 0.97/1.58 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U )
% 0.97/1.58 , T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 Z, U ), Y ) ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ) }.
% 0.97/1.58 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.97/1.58 , Y ) ) }.
% 0.97/1.58 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U )
% 0.97/1.58 , T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 Z, U ), Y ) ), c_Orderings_Oord__class_Oless( X, T,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ) }.
% 0.97/1.58 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X, T
% 0.97/1.58 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.97/1.58 , Y ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.97/1.58 ) ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide(
% 0.97/1.58 X, T, Z ), c_Rings_Oinverse__class_Odivide( X, T, Y ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), T ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.58 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.97/1.58 Z ) ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide
% 0.97/1.58 ( X, T, Y ), c_Rings_Oinverse__class_Odivide( X, T, Z ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.97/1.58 ), T ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, c_Groups_Otimes__class_Otimes( X, Z, Y ), T ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.97/1.58 Y ), Z ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, T, c_Rings_Oinverse__class_Odivide( X, Z, Y ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X, T
% 0.97/1.58 , Y ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, Z, c_Groups_Otimes__class_Otimes( X, T, Y ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.97/1.58 Z, Y ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ), Z ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.97/1.58 Z, Y ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.97/1.58 Y ), Z ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.97/1.58 , Y ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.97/1.58 Y ), Z ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, T, c_Rings_Oinverse__class_Odivide( X, Z, Y ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Y
% 0.97/1.58 ), Z ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ), Z ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.97/1.58 Z, Y ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.97/1.58 Z ), Y ), alpha62( X, Y, Z, T ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.97/1.58 Z ), Y ), alpha74( X, Y, Z, T ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha62( X, Y, Z
% 0.97/1.58 , T ), ! alpha74( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, T, Z ), Y ) }.
% 0.97/1.58 { ! alpha74( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), Z ), alpha86( X, Y, Z, T ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.97/1.58 , alpha74( X, Y, Z, T ) }.
% 0.97/1.58 { ! alpha86( X, Y, Z, T ), alpha74( X, Y, Z, T ) }.
% 0.97/1.58 { ! alpha86( X, Y, Z, T ), alpha98( X, Y, Z, T ) }.
% 0.97/1.58 { ! alpha86( X, Y, Z, T ), alpha31( X, Y, Z ) }.
% 0.97/1.58 { ! alpha98( X, Y, Z, T ), ! alpha31( X, Y, Z ), alpha86( X, Y, Z, T ) }.
% 0.97/1.58 { ! alpha98( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Y, Z ), T ) }.
% 0.97/1.58 { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.58 alpha98( X, Y, Z, T ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.97/1.58 Z ), T ), alpha98( X, Y, Z, T ) }.
% 0.97/1.58 { ! alpha62( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.58 T, c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.97/1.58 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.97/1.58 alpha62( X, Y, Z, T ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 Y, Z ) ), alpha62( X, Y, Z, T ) }.
% 0.97/1.58 { ! alpha31( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.58 , alpha31( X, Y, Z ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.97/1.58 , alpha31( X, Y, Z ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.97/1.58 Z, Y ) ), alpha63( X, Y, Z, T ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.97/1.58 Z, Y ) ), alpha75( X, Y, Z, T ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha63( X, Y, Z
% 0.97/1.58 , T ), ! alpha75( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T,
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.58 { ! alpha75( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), Y ), alpha87( X, Y, Z, T ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.97/1.58 , alpha75( X, Y, Z, T ) }.
% 0.97/1.58 { ! alpha87( X, Y, Z, T ), alpha75( X, Y, Z, T ) }.
% 0.97/1.58 { ! alpha87( X, Y, Z, T ), alpha99( X, Y, Z, T ) }.
% 0.97/1.58 { ! alpha87( X, Y, Z, T ), alpha32( X, Y, T ) }.
% 0.97/1.58 { ! alpha99( X, Y, Z, T ), ! alpha32( X, Y, T ), alpha87( X, Y, Z, T ) }.
% 0.97/1.58 { ! alpha99( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.97/1.58 { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.58 alpha99( X, Y, Z, T ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 T, Y ) ), alpha99( X, Y, Z, T ) }.
% 0.97/1.58 { ! alpha63( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, T, Y ), Z ) }.
% 0.97/1.58 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.58 alpha63( X, Y, Z, T ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.97/1.58 Y ), Z ), alpha63( X, Y, Z, T ) }.
% 0.97/1.58 { ! alpha32( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.58 , alpha32( X, Y, Z ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.58 , alpha32( X, Y, Z ) }.
% 0.97/1.58 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, U, Y ),
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, T, Z ) ) =
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.97/1.58 X, T, Y ) ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.97/1.58 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, c_Rings_Oinverse__class_Odivide( X, T, Y
% 0.97/1.58 ), Z ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus
% 0.97/1.58 ( X, T, c_Groups_Otimes__class_Otimes( X, Y, Z ) ), Y ) }.
% 0.97/1.58 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) =
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), Y ) }.
% 0.97/1.58 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, T, c_Rings_Oinverse__class_Odivide( X, Z
% 0.97/1.58 , Y ) ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus
% 0.97/1.58 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ), Z ), Y ) }.
% 0.97/1.58 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, T,
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, T, Y ) ), Y ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.97/1.58 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), c_Groups_Otimes__class_Otimes
% 0.97/1.58 ( X, c_Groups_Oabs__class_Oabs( X, Z ), Y ) = c_Groups_Oabs__class_Oabs(
% 0.97/1.58 X, c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.97/1.58 { ! class_Rings_Oordered__ring__abs( X ), alpha103( X, Z ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.58 ), c_Groups_Oabs__class_Oabs( X, c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.97/1.58 ) ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Oabs__class_Oabs( X, Z
% 0.97/1.58 ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.97/1.58 { ! class_Rings_Oordered__ring__abs( X ), alpha103( X, Z ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 ), c_Groups_Oabs__class_Oabs( X, c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.97/1.58 ) ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Oabs__class_Oabs( X, Z
% 0.97/1.58 ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.97/1.58 { ! alpha103( X, Y ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.58 { ! alpha103( X, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58 { c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.58 ), c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero
% 0.97/1.58 ( X ) ), alpha103( X, Y ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse( X
% 0.97/1.58 , Y ), c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse( X
% 0.97/1.58 , Y ), c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse( X
% 0.97/1.58 , Z ), c_Rings_Oinverse__class_Oinverse( X, Y ) ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse( X
% 0.97/1.58 , Z ), c_Rings_Oinverse__class_Oinverse( X, Y ) ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.97/1.58 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ominus__class_Ominus( X,
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, U, Y ),
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, T, Z ) ) =
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.97/1.58 X, T, Y ) ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.97/1.58 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.97/1.58 Y ), Z ) = c_Rings_Oinverse__class_Odivide( X,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, T, c_Groups_Otimes__class_Otimes( X, Y
% 0.97/1.58 , Z ) ), Y ) }.
% 0.97/1.58 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.97/1.58 Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, Y, T
% 0.97/1.58 ), Z ), Y ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, Z, Y ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.97/1.58 ), c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.97/1.58 c_Groups_Oone__class_Oone( X ) ) ), Y ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, Z, Y ), c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.97/1.58 ), c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.97/1.58 c_Groups_Oone__class_Oone( X ) ) ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse( X
% 0.97/1.58 , Y ), c_Groups_Oone__class_Oone( X ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X )
% 0.97/1.58 , Y ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( X, Y ), c_Groups_Oone__class_Oone( X )
% 0.97/1.58 ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ), Y )
% 0.97/1.58 , c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse
% 0.97/1.58 ( X, Y ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.97/1.58 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 , Z = c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( X, Y ),
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( X, Z ) ) =
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( X, Y ), c_Groups_Oplus__class_Oplus( X
% 0.97/1.58 , Y, Z ) ), c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 0.97/1.58 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( X, Y ),
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( X, Z ) ) =
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, Y, Z ), c_Rings_Oinverse__class_Oinverse
% 0.97/1.58 ( X, Y ) ), c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, Y, c_Groups_Oone__class_Oone( X ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.58 ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Oone__class_Oone( X ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, Y, c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Groups_Oone__class_Oone( X ), c_Rings_Oinverse__class_Oinverse( X, Y
% 0.97/1.58 ) ) }.
% 0.97/1.58 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 , Z = c_Groups_Ozero__class_Ozero( X ), c_Groups_Ominus__class_Ominus( X
% 0.97/1.58 , c_Rings_Oinverse__class_Oinverse( X, Y ),
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( X, Z ) ) =
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( X, Y ), c_Groups_Ominus__class_Ominus(
% 0.97/1.58 X, Z, Y ) ), c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 0.97/1.58 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 , c_Groups_Otimes__class_Otimes( X, Y, c_Rings_Oinverse__class_Oinverse(
% 0.97/1.58 X, Y ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.58 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.97/1.58 ), Y ) = c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.58 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 , c_Groups_Otimes__class_Otimes( X, c_Rings_Oinverse__class_Oinverse( X,
% 0.97/1.58 Y ), Y ) = c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oabs__class_Oabs( X, Z ), Y
% 0.97/1.58 ) = c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.97/1.58 , Y ) ) }.
% 0.97/1.58 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 , c_Rings_Oinverse__class_Oinverse( X, Y ) =
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X ), Y ) }
% 0.97/1.58 .
% 0.97/1.58 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.97/1.58 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OPls ) ) }.
% 0.97/1.58 { ! class_Rings_Olinordered__semiring__1( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, T, Y ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.97/1.58 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.97/1.58 X ), W ), ! c_Groups_Oplus__class_Oplus( X, U, W ) =
% 0.97/1.58 c_Groups_Oone__class_Oone( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Z )
% 0.97/1.58 , c_Groups_Otimes__class_Otimes( X, W, T ) ), Y ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 , c_Groups_Otimes__class_Otimes( X, Z, Y ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.58 , T, Z ), c_Rings_Oinverse__class_Odivide( X, T, Y ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.97/1.58 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 , c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.58 , T, Y ), c_Rings_Oinverse__class_Odivide( X, T, Z ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.58 , T, Y ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Z, Y ), T ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.97/1.58 , Y ), T ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.97/1.58 ( X, Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Otimes__class_Otimes( X
% 0.97/1.58 , T, Y ) ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 0.97/1.58 , Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes( X
% 0.97/1.58 , Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.58 , T, Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes( X
% 0.97/1.58 , Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.97/1.58 ( X, Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, T, Y ), Z ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 0.97/1.58 , Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.58 , T, Z ), Y ), alpha64( X, Y, Z, T ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.58 , T, Z ), Y ), alpha76( X, Y, Z, T ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha64( X, Y, Z
% 0.97/1.58 , T ), ! alpha76( X, Y, Z, T ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, T, Z ), Y ) }.
% 0.97/1.58 { ! alpha76( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), Z ), alpha88( X, Y, Z, T ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.97/1.58 , alpha76( X, Y, Z, T ) }.
% 0.97/1.58 { ! alpha88( X, Y, Z, T ), alpha76( X, Y, Z, T ) }.
% 0.97/1.58 { ! alpha88( X, Y, Z, T ), alpha100( X, Y, Z, T ) }.
% 0.97/1.58 { ! alpha88( X, Y, Z, T ), alpha33( X, Y, Z ) }.
% 0.97/1.58 { ! alpha100( X, Y, Z, T ), ! alpha33( X, Y, Z ), alpha88( X, Y, Z, T ) }.
% 0.97/1.58 { ! alpha100( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.58 , c_Groups_Otimes__class_Otimes( X, Y, Z ), T ) }.
% 0.97/1.58 { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.58 alpha100( X, Y, Z, T ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.97/1.58 , Y, Z ), T ), alpha100( X, Y, Z, T ) }.
% 0.97/1.58 { ! alpha64( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless__eq
% 0.97/1.58 ( X, T, c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.97/1.58 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.97/1.58 alpha64( X, Y, Z, T ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes
% 0.97/1.58 ( X, Y, Z ) ), alpha64( X, Y, Z, T ) }.
% 0.97/1.58 { ! alpha33( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.58 , c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.58 , alpha33( X, Y, Z ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 , Y ), alpha33( X, Y, Z ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.97/1.58 ( X, Z, Y ) ), alpha65( X, Y, Z, T ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.97/1.58 ( X, Z, Y ) ), alpha77( X, Y, Z, T ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha65( X, Y, Z
% 0.97/1.58 , T ), ! alpha77( X, Y, Z, T ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.58 { ! alpha77( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), Y ), alpha89( X, Y, Z, T ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.97/1.58 , alpha77( X, Y, Z, T ) }.
% 0.97/1.58 { ! alpha89( X, Y, Z, T ), alpha77( X, Y, Z, T ) }.
% 0.97/1.58 { ! alpha89( X, Y, Z, T ), alpha101( X, Y, Z, T ) }.
% 0.97/1.58 { ! alpha89( X, Y, Z, T ), alpha34( X, Y, T ) }.
% 0.97/1.58 { ! alpha101( X, Y, Z, T ), ! alpha34( X, Y, T ), alpha89( X, Y, Z, T ) }.
% 0.97/1.58 { ! alpha101( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.58 , Z, c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.97/1.58 { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.58 alpha101( X, Y, Z, T ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Otimes__class_Otimes
% 0.97/1.58 ( X, T, Y ) ), alpha101( X, Y, Z, T ) }.
% 0.97/1.58 { ! alpha65( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless__eq
% 0.97/1.58 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ), Z ) }.
% 0.97/1.58 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.58 alpha65( X, Y, Z, T ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.97/1.58 , T, Y ), Z ), alpha65( X, Y, Z, T ) }.
% 0.97/1.58 { ! alpha34( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.58 , Z, c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.58 , alpha34( X, Y, Z ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.97/1.58 ) ), alpha34( X, Y, Z ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( X, Y ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Oone__class_Oone( X ) )
% 0.97/1.58 }.
% 0.97/1.58 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.58 ! c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Oone__class_Oone( X )
% 0.97/1.58 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X )
% 0.97/1.58 , c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.97/1.58 tc_Nat_Onat, X ), c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 0.97/1.58 c_Int_OBit0( c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) =
% 0.97/1.58 c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 0.97/1.58 , c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit0
% 0.97/1.58 ( c_Int_OBit1( c_Int_OPls ) ) ) ), X ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.97/1.58 ( tc_Int_Oint ), X ), ! X = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y ) ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Groups_Oone__class_Oone
% 0.97/1.58 ( tc_Int_Oint ), Y ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.97/1.58 ( tc_Int_Oint ), X ), ! X = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y ) ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Z ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.97/1.58 c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 0.97/1.58 { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes
% 0.97/1.58 ( tc_Int_Oint, W, U ), T ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ), X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.97/1.58 tc_Int_Oint, c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ), X ),
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, T, W ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.97/1.58 tc_Int_Oint ), Z ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z,
% 0.97/1.58 W ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, U ) }.
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 0.97/1.58 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.97/1.58 Z, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.58 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, T ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, X ), T ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, Y ), Z ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, T ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, T,
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, X ) ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z,
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, Y ) ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oplus__class_Oplus(
% 0.97/1.58 tc_Int_Oint, c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ), X ) ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Z ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.97/1.58 tc_Int_Oint ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus
% 0.97/1.58 ( tc_Int_Oint, c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ), X ),
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.97/1.58 tc_Int_Oint ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Int_Oint, U, T ), Z ), c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Int_Oint, U, Y ), X ) ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Z ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, U ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, U ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, T, Y ) }.
% 0.97/1.58 { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes
% 0.97/1.58 ( tc_Int_Oint, W, U ), T ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ), X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oplus__class_Oplus(
% 0.97/1.58 tc_Int_Oint, c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ), X ) ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Z ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), T ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.97/1.58 tc_Int_Oint ), Z ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z,
% 0.97/1.58 W ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, U, Y ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Int_Oint, U, T ), Z ), c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Int_Oint, U, Y ), X ) ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, U, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Int_Oint, U, Z ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, T ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.58 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), T ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, Y, U ), Z ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.97/1.58 , Z ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.58 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T ), Z ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.58 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), T ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, Y, U ), Z ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.58 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), T ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, X, U ), Z ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, T
% 0.97/1.58 , c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 0.97/1.58 ( tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z
% 0.97/1.58 ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 0.97/1.58 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, Y, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ) ) }.
% 0.97/1.58 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ), Z =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y = X }.
% 0.97/1.58 { ! Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 0.97/1.58 { ! Y = X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 0.97/1.58 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, T, Z ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, Z ), X ) ) =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, T, Y ), Z ), X ) }
% 0.97/1.58 .
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58 ( tc_Nat_Onat ), X ), ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z
% 0.97/1.58 ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ), Z = Y }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58 ( tc_Nat_Onat ), X ), ! Z = Y, c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 0.97/1.58 , X, Z ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y
% 0.97/1.58 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z
% 0.97/1.58 , Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, Y, U ), T ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ), T =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 0.97/1.58 }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), ! T =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 0.97/1.58 , c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 0.97/1.58 ( tc_Nat_Onat, Y, U ), T ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.58 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), T ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, X, U ), Z ) ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.97/1.58 T, c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.97/1.58 ( tc_Nat_Onat, X, Y ), U ), Z ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, Y, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 0.97/1.58 ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 0.97/1.58 ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, Y, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ) ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, X, U ), T ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), Z ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.97/1.58 = Z }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.97/1.58 = Z, c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), T ) =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, Y, U ), Z ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.58 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), T ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, Y, U ), Z ) ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.97/1.58 , Z ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, X, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), Z ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.97/1.58 , Z ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.97/1.58 , Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.58 tc_Nat_Onat, X, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), Z ) ) }.
% 0.97/1.58 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.58 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, Y, X ) ),
% 0.97/1.58 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ) ),
% 0.97/1.58 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, c_Groups_Oplus__class_Oplus( X, U, T )
% 0.97/1.58 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) ), c_Groups_Oplus__class_Oplus
% 0.97/1.58 ( X, c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, U, Z
% 0.97/1.58 ) ), c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, T,
% 0.97/1.58 Y ) ) ) ) }.
% 0.97/1.58 { ! class_Groups_Ozero( X ), ! c_Groups_Ozero__class_Ozero( X ) = Y, Y =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58 { ! class_Groups_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) = Y }.
% 0.97/1.58 { ! class_Groups_Oab__semigroup__mult( X ), c_Groups_Otimes__class_Otimes(
% 0.97/1.58 X, c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.97/1.58 , Y ) ) }.
% 0.97/1.58 { ! class_Groups_Oab__semigroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.97/1.58 ( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y ) ) }.
% 0.97/1.58 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 T, Y ), Z = Y }.
% 0.97/1.58 { ! class_Groups_Ocancel__semigroup__add( X ), ! Z = Y,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 T, Y ) }.
% 0.97/1.58 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 Y, Z ), T = Y }.
% 0.97/1.58 { ! class_Groups_Ocancel__semigroup__add( X ), ! T = Y,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 Y, Z ) }.
% 0.97/1.58 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 T, Y ), Z = Y }.
% 0.97/1.58 { ! class_Groups_Ocancel__ab__semigroup__add( X ), !
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 T, Y ), Z = Y }.
% 0.97/1.58 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, Z, T ) = c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 Y, T ), Z = Y }.
% 0.97/1.58 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.97/1.58 U, T ) = c_Groups_Ominus__class_Ominus( X, Z, Y ), ! U = T, Z = Y }.
% 0.97/1.58 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.97/1.58 U, T ) = c_Groups_Ominus__class_Ominus( X, Z, Y ), ! Z = Y, U = T }.
% 0.97/1.58 { ! class_Groups_Oone( X ), ! c_Groups_Oone__class_Oone( X ) = Y, Y =
% 0.97/1.58 c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.58 { ! class_Groups_Oone( X ), ! Y = c_Groups_Oone__class_Oone( X ),
% 0.97/1.58 c_Groups_Oone__class_Oone( X ) = Y }.
% 0.97/1.58 { ! class_Groups_Ogroup__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.97/1.58 c_Groups_Ouminus__class_Ouminus( X, Y ) ) = Y }.
% 0.97/1.58 { ! class_Groups_Ogroup__add( X ), ! Z = c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.58 , Y ), Y = c_Groups_Ouminus__class_Ouminus( X, Z ) }.
% 0.97/1.58 { ! class_Groups_Ogroup__add( X ), ! Y = c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.58 , Z ), Z = c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.97/1.58 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ouminus__class_Ouminus( X, Z
% 0.97/1.58 ) = Y, c_Groups_Ouminus__class_Ouminus( X, Y ) = Z }.
% 0.97/1.58 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ouminus__class_Ouminus( X, Y
% 0.97/1.58 ) = Z, c_Groups_Ouminus__class_Ouminus( X, Z ) = Y }.
% 0.97/1.58 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ouminus__class_Ouminus( X, Z
% 0.97/1.58 ) = c_Groups_Ouminus__class_Ouminus( X, Y ), Z = Y }.
% 0.97/1.58 { ! class_Groups_Ogroup__add( X ), ! Z = Y, c_Groups_Ouminus__class_Ouminus
% 0.97/1.58 ( X, Z ) = c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.97/1.58 c_Groups_Oabs__class_Oabs( X, c_Groups_Oabs__class_Oabs( X, Y ) ) =
% 0.97/1.58 c_Groups_Oabs__class_Oabs( X, Y ) }.
% 0.97/1.58 { ! class_Groups_Omonoid__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.97/1.58 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.97/1.58 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) = c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.97/1.58 , Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ozero__class_Ozero( X ) =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 0.97/1.58 { ! class_Groups_Omonoid__add( X ), c_Groups_Oplus__class_Oplus( X, Y,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.97/1.58 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.97/1.58 , c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.97/1.58 Z ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.97/1.58 Z ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.97/1.58 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.97/1.58 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.97/1.58 T ), c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.97/1.58 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.97/1.58 U ), c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.97/1.58 T ), c_Groups_Oplus__class_Oplus( X, Y, T ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.97/1.58 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.97/1.58 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ), c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, T, Y ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, T, Y ), c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.97/1.58 , Y, Z ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.97/1.58 , c_Groups_Oplus__class_Oplus( X, T, Y ) ), c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, Z, Y ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.97/1.58 , T, Y ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Groups_Oplus__class_Oplus( X, Z, T ), c_Groups_Oplus__class_Oplus( X
% 0.97/1.58 , Y, T ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.97/1.58 , T, Y ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, U, T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, Z, U ), c_Groups_Oplus__class_Oplus( X, Y
% 0.97/1.58 , T ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Z, T )
% 0.97/1.58 , c_Groups_Oplus__class_Oplus( X, Y, T ) ), c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, Z, Y ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.97/1.58 , c_Groups_Oplus__class_Oplus( X, T, Y ) ), c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, Z, Y ) }.
% 0.97/1.58 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Y,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.97/1.58 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Y, Y )
% 0.97/1.58 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58 { ! class_Groups_Oab__group__add( X ), ! Z = Y,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.97/1.58 ) }.
% 0.97/1.58 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.97/1.58 Z, Y ) = c_Groups_Ozero__class_Ozero( X ), Z = Y }.
% 0.97/1.58 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ominus__class_Ominus( X, Z, Y
% 0.97/1.58 ) = c_Groups_Ozero__class_Ozero( X ), Z = Y }.
% 0.97/1.58 { ! class_Groups_Ogroup__add( X ), ! Z = Y, c_Groups_Ominus__class_Ominus(
% 0.97/1.58 X, Z, Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.97/1.58 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.97/1.58 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, U, T ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.97/1.58 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, U, T ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.97/1.58 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, Z, Y ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, U, T ) }.
% 0.97/1.58 { ! class_Groups_Ogroup__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ozero__class_Ozero( X ) =
% 0.97/1.58 c_Groups_Ouminus__class_Ouminus( X, Y ), c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 = Y }.
% 0.97/1.58 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ozero__class_Ozero( X ) = Y,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) = c_Groups_Ouminus__class_Ouminus( X, Y
% 0.97/1.58 ) }.
% 0.97/1.58 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.97/1.58 c_Groups_Ouminus__class_Ouminus( X, Y ), Y = c_Groups_Ozero__class_Ozero
% 0.97/1.58 ( X ) }.
% 0.97/1.58 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.58 , Y ) }.
% 0.97/1.58 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ouminus__class_Ouminus( X, Y
% 0.97/1.58 ) = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X
% 0.97/1.58 ) }.
% 0.97/1.58 { ! class_Groups_Ogroup__add( X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.58 c_Groups_Ouminus__class_Ouminus( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.97/1.58 ) }.
% 0.97/1.58 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.97/1.58 c_Groups_Ouminus__class_Ouminus( X, Y ) = Y, Y =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.97/1.58 = Y }.
% 0.97/1.58 { ! class_Groups_Omonoid__mult( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Groups_Oone__class_Oone( X ), Y ) = Y }.
% 0.97/1.58 { ! class_Groups_Ocomm__monoid__mult( X ), c_Groups_Otimes__class_Otimes( X
% 0.97/1.58 , c_Groups_Oone__class_Oone( X ), Y ) = Y }.
% 0.97/1.58 { ! class_Groups_Omonoid__mult( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.97/1.58 c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.97/1.58 { ! class_Groups_Ocomm__monoid__mult( X ), c_Groups_Otimes__class_Otimes( X
% 0.97/1.58 , Y, c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ouminus__class_Ouminus
% 0.97/1.58 ( X, Y ) ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.97/1.58 c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ouminus__class_Ouminus
% 0.97/1.58 ( X, Z ) ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.97/1.58 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.58 , Z ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.58 c_Groups_Ouminus__class_Ouminus( X, Y ), Z ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.58 , Y ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.58 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.58 , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Y, Z ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.58 , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.58 , Y ), c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.97/1.58 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, Z, Y ), Y ) = Z }.
% 0.97/1.58 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, Z, Y ), Y ) = Z }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.97/1.58 Y ) ), c_Orderings_Oord__class_Oless( X, Y,
% 0.97/1.58 c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ouminus__class_Ouminus( X,
% 0.97/1.58 Z ) ), c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.58 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.97/1.58 , Y ), c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus
% 0.97/1.58 ( X, Y ), Z ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.97/1.58 , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus
% 0.97/1.58 ( X, Z ), Y ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.97/1.58 , c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Y, Z ), c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Groups_Ouminus__class_Ouminus( X, Z ),
% 0.97/1.58 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.97/1.58 { ! class_Groups_Oab__group__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X
% 0.97/1.58 , c_Groups_Ouminus__class_Ouminus( X, Z ),
% 0.97/1.58 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.97/1.58 { ! class_Groups_Ogroup__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X
% 0.97/1.58 , c_Groups_Ouminus__class_Ouminus( X, Y ),
% 0.97/1.58 c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.97/1.58 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X, Z,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, c_Groups_Ouminus__class_Ouminus( X, Z ),
% 0.97/1.58 Y ) ) = Y }.
% 0.97/1.58 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Groups_Ouminus__class_Ouminus( X, Z ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 Z, Y ) ) = Y }.
% 0.97/1.58 { ! class_Groups_Oab__group__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) =
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, Y, Z ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.97/1.58 c_Groups_Oabs__class_Oabs( X, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.97/1.58 c_Groups_Oabs__class_Oabs( X, Y ) = c_Groups_Ozero__class_Ozero( X ), Y =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ), ! Y =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oabs__class_Oabs( X, Y ) =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Oabs__class_Oabs( X, Y
% 0.97/1.58 ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.97/1.58 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.97/1.58 c_Groups_Oabs__class_Oabs( X, c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ) )
% 0.97/1.58 = c_Groups_Oplus__class_Oplus( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.97/1.58 c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.97/1.58 c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Z, Y ) )
% 0.97/1.58 = c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Y, Z )
% 0.97/1.58 ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.97/1.58 c_Groups_Oabs__class_Oabs( X, c_Groups_Ouminus__class_Ouminus( X, Y ) ) =
% 0.97/1.58 c_Groups_Oabs__class_Oabs( X, Y ) }.
% 0.97/1.58 { c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, Y, X ) =
% 0.97/1.58 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, Y,
% 0.97/1.58 c_Groups_Ouminus__class_Ouminus( tc_Complex_Ocomplex, X ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.58 , c_Groups_Oplus__class_Oplus( X, Y, Z ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.58 ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.58 ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 Z, Y ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.58 ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 Y, Z ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.58 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.97/1.58 X ), Z ), ! c_Groups_Oplus__class_Oplus( X, Y, Z ) =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.97/1.58 .
% 0.97/1.58 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.58 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.97/1.58 X ), Z ), ! c_Groups_Oplus__class_Oplus( X, Y, Z ) =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.97/1.58 .
% 0.97/1.58 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.58 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.97/1.58 X ), Z ), ! Y = c_Groups_Ozero__class_Ozero( X ), ! Z =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Z )
% 0.97/1.58 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.58 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.97/1.58 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Z )
% 0.97/1.58 ) }.
% 0.97/1.58 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Y,
% 0.97/1.58 Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 ) }.
% 0.97/1.58 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X
% 0.97/1.59 , Y, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.59 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Groups_Oplus__class_Oplus( X, Y, Y ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.59 ) }.
% 0.97/1.59 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.59 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.97/1.59 ), c_Groups_Oplus__class_Oplus( X, Y, Y ) ) }.
% 0.97/1.59 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Groups_Oplus__class_Oplus( X, Y, Y ) ), c_Orderings_Oord__class_Oless(
% 0.97/1.59 X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.59 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Groups_Oplus__class_Oplus( X, Y, Y ) ) }.
% 0.97/1.59 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.97/1.59 , c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Y
% 0.97/1.59 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.59 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.97/1.59 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.59 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.59 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.97/1.59 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.97/1.59 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.59 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.59 , c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.97/1.59 ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.59 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Z, U )
% 0.97/1.59 , c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.97/1.59 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, U, T ), c_Orderings_Oord__class_Oless(
% 0.97/1.59 X, c_Groups_Oplus__class_Oplus( X, Z, U ), c_Groups_Oplus__class_Oplus( X
% 0.97/1.59 , Y, T ) ) }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X, Z
% 0.97/1.59 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X, Z
% 0.97/1.59 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.97/1.59 X, c_Groups_Ominus__class_Ominus( X, Z, Y ), c_Groups_Ozero__class_Ozero
% 0.97/1.59 ( X ) ) }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ominus__class_Ominus( X, Z, Y
% 0.97/1.59 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.97/1.59 , Z, Y ) }.
% 0.97/1.59 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.59 , Y ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.59 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.59 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus
% 0.97/1.59 ( X, Y ), Y ) }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.59 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.59 ) }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.59 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus
% 0.97/1.59 ( X, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.59 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ouminus__class_Ouminus
% 0.97/1.59 ( X, Y ) ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.59 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.97/1.59 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 ) }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.97/1.59 ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Groups_Ouminus__class_Ouminus( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.97/1.59 ( X, Y, c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.97/1.59 , c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.97/1.59 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.59 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.97/1.59 , Y ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 , Y ) }.
% 0.97/1.59 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.97/1.59 , Y ) }.
% 0.97/1.59 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X, Y,
% 0.97/1.59 c_Groups_Ouminus__class_Ouminus( X, Y ) ) = c_Groups_Ozero__class_Ozero(
% 0.97/1.59 X ) }.
% 0.97/1.59 { ! class_Groups_Ogroup__add( X ), ! Z = c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.59 , Y ), c_Groups_Oplus__class_Oplus( X, Z, Y ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.59 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Oplus__class_Oplus( X, Z, Y )
% 0.97/1.59 = c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ouminus__class_Ouminus
% 0.97/1.59 ( X, Y ) }.
% 0.97/1.59 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.59 c_Groups_Ouminus__class_Ouminus( X, Y ), Y ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.59 { ! class_Groups_Oab__group__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.59 c_Groups_Ouminus__class_Ouminus( X, Y ), Y ) =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.59 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Oplus__class_Oplus( X, Z, Y )
% 0.97/1.59 = c_Groups_Ozero__class_Ozero( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.97/1.59 Z ) = Y }.
% 0.97/1.59 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ouminus__class_Ouminus(
% 0.97/1.59 X, Y ) }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.59 ), c_Groups_Oabs__class_Oabs( X, Y ) = Y }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Y ),
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add__abs( X ), ! Y =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.59 c_Groups_Oabs__class_Oabs( X, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Oabs__class_Oabs( X, Y ),
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.59 c_Groups_Oabs__class_Oabs( X, Y ) ), ! Y = c_Groups_Ozero__class_Ozero( X
% 0.97/1.59 ) }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add__abs( X ), Y =
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.59 c_Groups_Oabs__class_Oabs( X, Y ) = Y }.
% 0.97/1.59 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Z, Y )
% 0.97/1.59 = c_Groups_Oplus__class_Oplus( X, Z, c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.59 , Y ) ) }.
% 0.97/1.59 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus( X, Z
% 0.97/1.59 , Y ) = c_Groups_Oplus__class_Oplus( X, Z,
% 0.97/1.59 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.97/1.59 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Z,
% 0.97/1.59 c_Groups_Ouminus__class_Ouminus( X, Y ) ) = c_Groups_Oplus__class_Oplus(
% 0.97/1.59 X, Z, Y ) }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 0.97/1.59 c_Groups_Oplus__class_Oplus( X, Z, Y ) ), c_Groups_Oplus__class_Oplus( X
% 0.97/1.59 , c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) )
% 0.97/1.59 ) }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 0.97/1.59 c_Groups_Ominus__class_Ominus( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.97/1.59 c_Groups_Oabs__class_Oabs( X, Y ) ) ), c_Groups_Oabs__class_Oabs( X,
% 0.97/1.59 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) ) }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X,
% 0.97/1.59 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ),
% 0.97/1.59 c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Z, Y ) )
% 0.97/1.59 ) }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X,
% 0.97/1.59 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ),
% 0.97/1.59 c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Y, Z ) )
% 0.97/1.59 ) }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.59 , Y ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.97/1.59 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.97/1.59 Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.59 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.59 , Z ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.59 c_Groups_Oabs__class_Oabs( X, Z ), Y ) }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.59 , Z ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.59 c_Groups_Oabs__class_Oabs( X, Z ), Y ) }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.97/1.59 Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.59 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) }.
% 0.97/1.59 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ),
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ) }.
% 0.97/1.59 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.59 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.97/1.59 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.59 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.97/1.59 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.59 ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.97/1.59 ) ) }.
% 0.97/1.59 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.59 ), ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.97/1.59 ) ) }.
% 0.97/1.59 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.59 ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.97/1.59 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.97/1.59 , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.59 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.97/1.59 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.97/1.59 , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.59 , c_Groups_Oabs__class_Oabs( X, Y ) ), c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.59 }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 ), c_Groups_Oabs__class_Oabs( X, Y ) = c_Groups_Ouminus__class_Ouminus(
% 0.97/1.59 X, Y ) }.
% 0.97/1.59 { ! class_Groups_Oabs__if( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Groups_Oabs__class_Oabs( X, Y ) =
% 0.97/1.59 c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.97/1.59 { ! class_Groups_Oabs__if( X ), c_Orderings_Oord__class_Oless( X, Y,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Groups_Oabs__class_Oabs( X, Y ) = Y
% 0.97/1.59 }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.97/1.59 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.59 c_Groups_Oabs__class_Oabs( X, Y ) = c_Groups_Ouminus__class_Ouminus( X, Y
% 0.97/1.59 ) }.
% 0.97/1.59 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 0.97/1.59 c_Groups_Ominus__class_Ominus( X, Z, Y ) ), c_Groups_Oplus__class_Oplus(
% 0.97/1.59 X, c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) )
% 0.97/1.59 ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, skol28, X ),
% 0.97/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.97/1.59 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, v_g____( hAPP(
% 0.97/1.59 v_f____, X ) ), v_z____ ) ), v_d____ ) }.
% 0.97/1.59 { ! class_Fields_Ofield( X ), c_Rings_Oinverse__class_Oinverse( X, Y ) =
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X ), Y ) }
% 0.97/1.59 .
% 0.97/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.59 Z, Y ) = c_Groups_Otimes__class_Otimes( X, Y, Z ) }.
% 0.97/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.59 T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Otimes__class_Otimes( X, T
% 0.97/1.59 , Y ) ) }.
% 0.97/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.59 T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.97/1.59 ), Y ) }.
% 0.97/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.97/1.59 , Y ) ) }.
% 0.97/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, T, Y
% 0.97/1.59 ), Z ) }.
% 0.97/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.97/1.59 X, Z, Y ) ) = c_Groups_Otimes__class_Otimes( X, U,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.97/1.59 , Y ) ) ) }.
% 0.97/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.97/1.59 X, Z, Y ) ) = c_Groups_Otimes__class_Otimes( X, Z,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, U, T
% 0.97/1.59 ), Y ) ) }.
% 0.97/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.97/1.59 X, Z, Y ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.97/1.59 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.97/1.59 X, T, Y ) ) }.
% 0.97/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.59 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.97/1.59 , Y ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X
% 0.97/1.59 , U, Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.97/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.59 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.97/1.59 ( X, c_Groups_Oplus__class_Oplus( X, T, Y ), Z ) }.
% 0.97/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.59 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.97/1.59 ( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y ) ) }.
% 0.97/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, T
% 0.97/1.59 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.97/1.59 ( X, c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) }.
% 0.97/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, T
% 0.97/1.59 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.97/1.59 ( X, Z, c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.97/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Z
% 0.97/1.59 , Y ) = c_Groups_Oplus__class_Oplus( X, Y, Z ) }.
% 0.97/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.59 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59 }.
% 0.97/1.59 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_Int_Oint ) }.
% 0.97/1.59 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Int_Oint ) }.
% 0.97/1.59 { class_Rings_Olinordered__comm__semiring__strict( tc_Int_Oint ) }.
% 0.97/1.59 { class_Rings_Olinordered__semiring__1__strict( tc_Int_Oint ) }.
% 0.97/1.59 { class_Rings_Olinordered__semiring__strict( tc_Int_Oint ) }.
% 0.97/1.59 { class_Groups_Oordered__ab__semigroup__add( tc_Int_Oint ) }.
% 0.97/1.59 { class_Groups_Oordered__ab__group__add__abs( tc_Int_Oint ) }.
% 0.97/1.59 { class_Groups_Oordered__comm__monoid__add( tc_Int_Oint ) }.
% 0.97/1.59 { class_Groups_Olinordered__ab__group__add( tc_Int_Oint ) }.
% 0.97/1.59 { class_Groups_Ocancel__ab__semigroup__add( tc_Int_Oint ) }.
% 0.97/1.59 { class_Rings_Oring__1__no__zero__divisors( tc_Int_Oint ) }.
% 0.97/1.59 { class_Rings_Oordered__cancel__semiring( tc_Int_Oint ) }.
% 0.97/1.59 { class_Rings_Olinordered__ring__strict( tc_Int_Oint ) }.
% 0.97/1.59 { class_Rings_Oring__no__zero__divisors( tc_Int_Oint ) }.
% 0.97/1.59 { class_Rings_Oordered__comm__semiring( tc_Int_Oint ) }.
% 0.97/1.59 { class_Rings_Olinordered__semiring__1( tc_Int_Oint ) }.
% 0.97/1.59 { class_Groups_Oordered__ab__group__add( tc_Int_Oint ) }.
% 0.97/1.59 { class_Groups_Ocancel__semigroup__add( tc_Int_Oint ) }.
% 0.97/1.59 { class_Rings_Olinordered__semiring( tc_Int_Oint ) }.
% 0.97/1.59 { class_Rings_Olinordered__semidom( tc_Int_Oint ) }.
% 0.97/1.59 { class_Groups_Oab__semigroup__mult( tc_Int_Oint ) }.
% 0.97/1.59 { class_Groups_Ocomm__monoid__mult( tc_Int_Oint ) }.
% 0.97/1.59 { class_Groups_Oab__semigroup__add( tc_Int_Oint ) }.
% 0.97/1.59 { class_Rings_Oordered__semiring( tc_Int_Oint ) }.
% 0.97/1.59 { class_Rings_Oordered__ring__abs( tc_Int_Oint ) }.
% 0.97/1.59 { class_Rings_Ono__zero__divisors( tc_Int_Oint ) }.
% 0.97/1.59 { class_Groups_Ocomm__monoid__add( tc_Int_Oint ) }.
% 0.97/1.59 { class_Rings_Olinordered__ring( tc_Int_Oint ) }.
% 0.97/1.59 { class_Rings_Olinordered__idom( tc_Int_Oint ) }.
% 0.97/1.59 { class_Rings_Ocomm__semiring__1( tc_Int_Oint ) }.
% 0.97/1.59 { class_Rings_Ocomm__semiring( tc_Int_Oint ) }.
% 0.97/1.59 { class_Groups_Oab__group__add( tc_Int_Oint ) }.
% 0.97/1.59 { class_Rings_Ozero__neq__one( tc_Int_Oint ) }.
% 0.97/1.59 { class_Rings_Oordered__ring( tc_Int_Oint ) }.
% 0.97/1.59 { class_Orderings_Olinorder( tc_Int_Oint ) }.
% 0.97/1.59 { class_Groups_Omonoid__mult( tc_Int_Oint ) }.
% 0.97/1.59 { class_Groups_Omonoid__add( tc_Int_Oint ) }.
% 0.97/1.59 { class_Groups_Ogroup__add( tc_Int_Oint ) }.
% 0.97/1.59 { class_Rings_Omult__zero( tc_Int_Oint ) }.
% 0.97/1.59 { class_Int_Oring__char__0( tc_Int_Oint ) }.
% 0.97/1.59 { class_Int_Onumber__ring( tc_Int_Oint ) }.
% 0.97/1.59 { class_Rings_Osemiring( tc_Int_Oint ) }.
% 0.97/1.59 { class_Groups_Oabs__if( tc_Int_Oint ) }.
% 0.97/1.59 { class_Rings_Oring__1( tc_Int_Oint ) }.
% 0.97/1.59 { class_Groups_Ozero( tc_Int_Oint ) }.
% 0.97/1.59 { class_Rings_Oring( tc_Int_Oint ) }.
% 0.97/1.59 { class_Rings_Oidom( tc_Int_Oint ) }.
% 0.97/1.59 { class_Int_Onumber( tc_Int_Oint ) }.
% 0.97/1.59 { class_Groups_Oone( tc_Int_Oint ) }.
% 0.97/1.59 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.97/1.59 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Nat_Onat ) }.
% 0.97/1.59 { class_Rings_Olinordered__comm__semiring__strict( tc_Nat_Onat ) }.
% 0.97/1.59 { class_Rings_Olinordered__semiring__strict( tc_Nat_Onat ) }.
% 0.97/1.59 { class_Groups_Oordered__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.97/1.59 { class_Groups_Oordered__comm__monoid__add( tc_Nat_Onat ) }.
% 0.97/1.59 { class_Groups_Ocancel__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.97/1.59 { class_Rings_Oordered__cancel__semiring( tc_Nat_Onat ) }.
% 0.97/1.59 { class_Rings_Oordered__comm__semiring( tc_Nat_Onat ) }.
% 0.97/1.59 { class_Groups_Ocancel__semigroup__add( tc_Nat_Onat ) }.
% 0.97/1.59 { class_Rings_Olinordered__semiring( tc_Nat_Onat ) }.
% 0.97/1.59 { class_Rings_Olinordered__semidom( tc_Nat_Onat ) }.
% 0.97/1.59 { class_Groups_Oab__semigroup__mult( tc_Nat_Onat ) }.
% 0.97/1.59 { class_Groups_Ocomm__monoid__mult( tc_Nat_Onat ) }.
% 0.97/1.59 { class_Groups_Oab__semigroup__add( tc_Nat_Onat ) }.
% 0.97/1.59 { class_Rings_Oordered__semiring( tc_Nat_Onat ) }.
% 0.97/1.59 { class_Rings_Ono__zero__divisors( tc_Nat_Onat ) }.
% 0.97/1.59 { class_Groups_Ocomm__monoid__add( tc_Nat_Onat ) }.
% 0.97/1.59 { class_Rings_Ocomm__semiring__1( tc_Nat_Onat ) }.
% 0.97/1.59 { class_Rings_Ocomm__semiring( tc_Nat_Onat ) }.
% 0.97/1.59 { class_Rings_Ozero__neq__one( tc_Nat_Onat ) }.
% 0.97/1.59 { class_Orderings_Olinorder( tc_Nat_Onat ) }.
% 0.97/1.59 { class_Groups_Omonoid__mult( tc_Nat_Onat ) }.
% 0.97/1.59 { class_Groups_Omonoid__add( tc_Nat_Onat ) }.
% 0.97/1.59 { class_Rings_Omult__zero( tc_Nat_Onat ) }.
% 0.97/1.59 { class_Rings_Osemiring( tc_Nat_Onat ) }.
% 0.97/1.59 { class_Groups_Ozero( tc_Nat_Onat ) }.
% 0.97/1.59 { class_Int_Onumber( tc_Nat_Onat ) }.
% 0.97/1.59 { class_Groups_Oone( tc_Nat_Onat ) }.
% 0.97/1.59 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_RealDef_Oreal ) }
% 0.97/1.59 .
% 0.97/1.59 { class_Rings_Olinordered__comm__semiring__strict( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Fields_Olinordered__field__inverse__zero( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Rings_Olinordered__semiring__1__strict( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_RealVector_Oreal__normed__div__algebra( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Rings_Olinordered__semiring__strict( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Rings_Odivision__ring__inverse__zero( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_RealVector_Oreal__normed__algebra__1( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Groups_Oordered__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Groups_Oordered__ab__group__add__abs( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_RealVector_Oreal__normed__algebra( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Groups_Oordered__comm__monoid__add( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Groups_Olinordered__ab__group__add( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Groups_Ocancel__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Rings_Oring__1__no__zero__divisors( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Rings_Oordered__cancel__semiring( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_RealVector_Oreal__normed__vector( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Rings_Olinordered__ring__strict( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_RealVector_Oreal__normed__field( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Rings_Oring__no__zero__divisors( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Rings_Oordered__comm__semiring( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Rings_Olinordered__semiring__1( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Groups_Oordered__ab__group__add( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Groups_Ocancel__semigroup__add( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Rings_Olinordered__semiring( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Fields_Ofield__inverse__zero( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Rings_Olinordered__semidom( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Groups_Oab__semigroup__mult( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Groups_Ocomm__monoid__mult( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Groups_Oab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Fields_Olinordered__field( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Rings_Oordered__semiring( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Rings_Oordered__ring__abs( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Rings_Ono__zero__divisors( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Groups_Ocomm__monoid__add( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Rings_Olinordered__ring( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Rings_Olinordered__idom( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Rings_Ocomm__semiring__1( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_RealVector_Oreal__field( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Rings_Odivision__ring( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Rings_Ocomm__semiring( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Groups_Oab__group__add( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Rings_Ozero__neq__one( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Rings_Oordered__ring( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Orderings_Olinorder( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Groups_Omonoid__mult( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Groups_Omonoid__add( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Groups_Ogroup__add( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Rings_Omult__zero( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Int_Oring__char__0( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Int_Onumber__ring( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Rings_Osemiring( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Groups_Oabs__if( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Rings_Oring__1( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Fields_Ofield( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Groups_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Rings_Oring( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Rings_Oidom( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Int_Onumber( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_Groups_Oone( tc_RealDef_Oreal ) }.
% 0.97/1.59 { class_RealVector_Oreal__normed__div__algebra( tc_Complex_Ocomplex ) }.
% 0.97/1.59 { class_Rings_Odivision__ring__inverse__zero( tc_Complex_Ocomplex ) }.
% 0.97/1.59 { class_RealVector_Oreal__normed__algebra__1( tc_Complex_Ocomplex ) }.
% 0.97/1.59 { class_RealVector_Oreal__normed__algebra( tc_Complex_Ocomplex ) }.
% 0.97/1.59 { class_Groups_Ocancel__ab__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.97/1.59 { class_Rings_Oring__1__no__zero__divisors( tc_Complex_Ocomplex ) }.
% 0.97/1.59 { class_RealVector_Oreal__normed__vector( tc_Complex_Ocomplex ) }.
% 0.97/1.59 { class_RealVector_Oreal__normed__field( tc_Complex_Ocomplex ) }.
% 0.97/1.59 { class_Rings_Oring__no__zero__divisors( tc_Complex_Ocomplex ) }.
% 0.97/1.59 { class_Groups_Ocancel__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.97/1.59 { class_Fields_Ofield__inverse__zero( tc_Complex_Ocomplex ) }.
% 0.97/1.59 { class_Groups_Oab__semigroup__mult( tc_Complex_Ocomplex ) }.
% 0.97/1.59 { class_Groups_Ocomm__monoid__mult( tc_Complex_Ocomplex ) }.
% 0.97/1.59 { class_Groups_Oab__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.97/1.59 { class_Rings_Ono__zero__divisors( tc_Complex_Ocomplex ) }.
% 0.97/1.59 { class_Groups_Ocomm__monoid__add( tc_Complex_Ocomplex ) }.
% 0.97/1.59 { class_Rings_Ocomm__semiring__1( tc_Complex_Ocomplex ) }.
% 0.97/1.59 { class_RealVector_Oreal__field( tc_Complex_Ocomplex ) }.
% 0.97/1.59 { class_Rings_Odivision__ring( tc_Complex_Ocomplex ) }.
% 0.97/1.59 { class_Rings_Ocomm__semiring( tc_Complex_Ocomplex ) }.
% 0.97/1.59 { class_Groups_Oab__group__add( tc_Complex_Ocomplex ) }.
% 0.97/1.59 { class_Rings_Ozero__neq__one( tc_Complex_Ocomplex ) }.
% 0.97/1.59 { class_Groups_Omonoid__mult( tc_Complex_Ocomplex ) }.
% 0.97/1.59 { class_Groups_Omonoid__add( tc_Complex_Ocomplex ) }.
% 0.97/1.59 { class_Groups_Ogroup__add( tc_Complex_Ocomplex ) }.
% 0.97/1.59 { class_Rings_Omult__zero( tc_Complex_Ocomplex ) }.
% 0.97/1.59 { class_Int_Oring__char__0( tc_Complex_Ocomplex ) }.
% 0.97/1.59 { class_Int_Onumber__ring( tc_Complex_Ocomplex ) }.
% 0.97/1.59 { class_Rings_Osemiring( tc_Complex_Ocomplex ) }.
% 0.97/1.59 { class_Rings_Oring__1( tc_Complex_Ocomplex ) }.
% 0.97/1.59 { class_Fields_Ofield( tc_Complex_Ocomplex ) }.
% 0.97/1.59 { class_Groups_Ozero( tc_Complex_Ocomplex ) }.
% 0.97/1.59 { class_Rings_Oring( tc_Complex_Ocomplex ) }.
% 0.97/1.59 { class_Rings_Oidom( tc_Complex_Ocomplex ) }.
% 0.97/1.59 { class_Int_Onumber( tc_Complex_Ocomplex ) }.
% 0.97/1.59 { class_Groups_Oone( tc_Complex_Ocomplex ) }.
% 0.97/1.59 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.59 ( tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 0.97/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ),
% 0.97/1.59 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) ),
% 0.97/1.59 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.97/1.59 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.59 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.59 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.97/1.59 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Int_Onumber__class_Onumber__of(
% 0.97/1.59 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.97/1.59
% 0.97/1.59 *** allocated 15000 integers for clauses
% 0.97/1.59 *** allocated 22500 integers for clauses
% 0.97/1.59 *** allocated 33750 integers for clauses
% 0.97/1.59 *** allocated 50625 integers for clauses
% 0.97/1.59 *** allocated 75937 integers for clauses
% 0.97/1.59 *** allocated 113905 integers for clauses
% 0.97/1.59 percentage equality = 0.224226, percentage horn = 0.894070
% 0.97/1.59 This is a problem with some equality
% 0.97/1.59
% 0.97/1.59
% 0.97/1.59
% 0.97/1.59 Options Used:
% 0.97/1.59
% 0.97/1.59 useres = 1
% 0.97/1.59 useparamod = 1
% 0.97/1.59 useeqrefl = 1
% 0.97/1.59 useeqfact = 1
% 0.97/1.59 usefactor = 1
% 0.97/1.59 usesimpsplitting = 0
% 0.97/1.59 usesimpdemod = 5
% 0.97/1.59 usesimpres = 3
% 0.97/1.59
% 0.97/1.59 resimpinuse = 1000
% 0.97/1.59 resimpclauses = 20000
% 0.97/1.59 substype = eqrewr
% 0.97/1.59 backwardsubs = 1
% 0.97/1.59 selectoldest = 5
% 0.97/1.59
% 0.97/1.59 litorderings [0] = split
% 0.97/1.59 litorderings [1] = extend the termordering, first sorting on arguments
% 0.97/1.59
% 0.97/1.59 termordering = kbo
% 0.97/1.59
% 0.97/1.59 litapriori = 0
% 0.97/1.59 termapriori = 1
% 0.97/1.59 litaposteriori = 0
% 0.97/1.59 termaposteriori = 0
% 0.97/1.59 demodaposteriori = 0
% 0.97/1.59 ordereqreflfact = 0
% 0.97/1.59
% 0.97/1.59 litselect = negord
% 0.97/1.59
% 0.97/1.59 maxweight = 15
% 0.97/1.59 maxdepth = 30000
% 0.97/1.59 maxlength = 115
% 0.97/1.59 maxnrvars = 195
% 0.97/1.59 excuselevel = 1
% 0.97/1.59 increasemaxweight = 1
% 0.97/1.59
% 0.97/1.59 maxselected = 10000000
% 0.97/1.59 maxnrclauses = 10000000
% 0.97/1.59
% 0.97/1.59 showgenerated = 0
% 0.97/1.59 showkept = 0
% 0.97/1.59 showselected = 0
% 0.97/1.59 showdeleted = 0
% 0.97/1.59 showresimp = 1
% 0.97/1.59 showstatus = 2000
% 0.97/1.59
% 0.97/1.59 prologoutput = 0
% 0.97/1.59 nrgoals = 5000000
% 0.97/1.59 totalproof = 1
% 0.97/1.59
% 0.97/1.59 Symbols occurring in the translation:
% 0.97/1.59
% 0.97/1.59 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.97/1.59 . [1, 2] (w:1, o:206, a:1, s:1, b:0),
% 0.97/1.59 ! [4, 1] (w:0, o:120, a:1, s:1, b:0),
% 0.97/1.59 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.97/1.59 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.97/1.59 v_f____ [35, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.97/1.59 c_SEQ_Osubseq [36, 1] (w:1, o:125, a:1, s:1, b:0),
% 0.97/1.59 tc_RealDef_Oreal [37, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.97/1.59 c_Groups_Ozero__class_Ozero [38, 1] (w:1, o:126, a:1, s:1, b:0),
% 0.97/1.59 tc_Complex_Ocomplex [39, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.97/1.59 v_p [40, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.97/1.59 v_z____ [41, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.97/1.59 c_Polynomial_Opoly [42, 3] (w:1, o:256, a:1, s:1, b:0),
% 0.97/1.59 c_RealVector_Onorm__class_Onorm [43, 2] (w:1, o:230, a:1, s:1, b:0),
% 0.97/1.59
% 0.97/1.59 v_s____ [44, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.97/1.59 c_Groups_Ouminus__class_Ouminus [45, 2] (w:1, o:231, a:1, s:1, b:0),
% 0.97/1.59
% 0.97/1.59 c_Groups_Ominus__class_Ominus [46, 3] (w:1, o:257, a:1, s:1, b:0),
% 0.97/1.59 c_Groups_Oabs__class_Oabs [47, 2] (w:1, o:232, a:1, s:1, b:0),
% 0.97/1.59 c_Orderings_Oord__class_Oless [48, 3] (w:1, o:254, a:1, s:1, b:0),
% 0.97/1.59 c_Int_OPls [49, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.97/1.59 c_Int_OBit1 [50, 1] (w:1, o:128, a:1, s:1, b:0),
% 0.97/1.59 c_Int_OBit0 [51, 1] (w:1, o:127, a:1, s:1, b:0),
% 0.97/1.59 c_Int_Onumber__class_Onumber__of [52, 2] (w:1, o:233, a:1, s:1, b:0)
% 0.97/1.59 ,
% 0.97/1.59 c_Rings_Oinverse__class_Odivide [53, 3] (w:1, o:258, a:1, s:1, b:0),
% 0.97/1.59
% 0.97/1.59 tc_Nat_Onat [54, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.97/1.59 v_N2____ [55, 0] (w:1, o:26, a:1, s:1, b:0),
% 0.97/1.59 c_RealDef_Oreal [56, 2] (w:1, o:234, a:1, s:1, b:0),
% 0.97/1.59 v_N1____ [57, 0] (w:1, o:25, a:1, s:1, b:0),
% 0.97/1.59 c_Groups_Oplus__class_Oplus [58, 3] (w:1, o:259, a:1, s:1, b:0),
% 0.97/1.59 hAPP [59, 2] (w:1, o:235, a:1, s:1, b:0),
% 0.97/1.59 v_g____ [60, 1] (w:1, o:129, a:1, s:1, b:0),
% 0.97/1.59 c_Orderings_Oord__class_Oless__eq [61, 3] (w:1, o:255, a:1, s:1, b:0)
% 0.97/1.59 ,
% 0.97/1.59 c_Groups_Oone__class_Oone [63, 1] (w:1, o:130, a:1, s:1, b:0),
% 0.97/1.59 c_Nat_OSuc [64, 1] (w:1, o:131, a:1, s:1, b:0),
% 0.97/1.59 v_d____ [66, 0] (w:1, o:40, a:1, s:1, b:0),
% 0.97/1.59 class_Int_Onumber__ring [69, 1] (w:1, o:132, a:1, s:1, b:0),
% 0.97/1.59 class_RealVector_Oreal__normed__algebra__1 [70, 1] (w:1, o:133, a:1
% 0.97/1.59 , s:1, b:0),
% 0.97/1.59 class_Fields_Ofield [72, 1] (w:1, o:134, a:1, s:1, b:0),
% 0.97/1.59 v_r [76, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.97/1.59 class_RealVector_Oreal__normed__vector [79, 1] (w:1, o:135, a:1, s:1
% 0.97/1.59 , b:0),
% 0.97/1.59 class_Rings_Olinordered__idom [82, 1] (w:1, o:136, a:1, s:1, b:0),
% 0.97/1.59 tc_Int_Oint [83, 0] (w:1, o:56, a:1, s:1, b:0),
% 0.97/1.59 class_Groups_Olinordered__ab__group__add [85, 1] (w:1, o:140, a:1, s:
% 0.97/1.59 1, b:0),
% 0.97/1.59 class_RealVector_Oreal__normed__field [88, 1] (w:1, o:141, a:1, s:1
% 0.97/1.59 , b:0),
% 0.97/1.59 class_Int_Onumber [90, 1] (w:1, o:142, a:1, s:1, b:0),
% 0.97/1.59 class_Orderings_Olinorder [91, 1] (w:1, o:143, a:1, s:1, b:0),
% 0.97/1.59 class_Fields_Ofield__inverse__zero [95, 1] (w:1, o:137, a:1, s:1, b:0
% 0.97/1.59 ),
% 0.97/1.59 class_Int_Oring__char__0 [97, 1] (w:1, o:144, a:1, s:1, b:0),
% 0.97/1.59 class_Fields_Olinordered__field__inverse__zero [100, 1] (w:1, o:138
% 0.97/1.59 , a:1, s:1, b:0),
% 0.97/1.59 c_Rings_Oinverse__class_Oinverse [109, 2] (w:1, o:236, a:1, s:1, b:0)
% 0.97/1.59 ,
% 0.97/1.59 v_w____ [114, 0] (w:1, o:91, a:1, s:1, b:0),
% 0.97/1.59 class_RealVector_Oreal__normed__div__algebra [129, 1] (w:1, o:145, a:
% 0.97/1.59 1, s:1, b:0),
% 0.97/1.59 class_Rings_Odivision__ring__inverse__zero [130, 1] (w:1, o:148, a:1
% 0.97/1.59 , s:1, b:0),
% 0.97/1.59 class_Rings_Odivision__ring [137, 1] (w:1, o:149, a:1, s:1, b:0),
% 0.97/1.59 class_Groups_Ogroup__add [138, 1] (w:1, o:150, a:1, s:1, b:0),
% 0.97/1.59 class_Groups_Oab__group__add [141, 1] (w:1, o:151, a:1, s:1, b:0),
% 0.97/1.59 c_Groups_Otimes__class_Otimes [144, 3] (w:1, o:260, a:1, s:1, b:0),
% 0.97/1.59 class_RealVector_Oreal__normed__algebra [145, 1] (w:1, o:152, a:1, s:
% 0.97/1.59 1, b:0),
% 0.97/1.59 class_Rings_Olinordered__ring__strict [150, 1] (w:1, o:153, a:1, s:1
% 0.97/1.59 , b:0),
% 0.97/1.59 class_Rings_Olinordered__ring [151, 1] (w:1, o:154, a:1, s:1, b:0),
% 0.97/1.59 class_Rings_Osemiring [152, 1] (w:1, o:159, a:1, s:1, b:0),
% 0.97/1.59 class_Rings_Oring [153, 1] (w:1, o:155, a:1, s:1, b:0),
% 0.97/1.59 class_Rings_Oring__1 [157, 1] (w:1, o:156, a:1, s:1, b:0),
% 0.97/1.59 class_RealVector_Oreal__field [159, 1] (w:1, o:160, a:1, s:1, b:0),
% 0.97/1.59 hBOOL [164, 1] (w:1, o:161, a:1, s:1, b:0),
% 0.97/1.59 class_Rings_Olinordered__semiring__1__strict [173, 1] (w:1, o:162, a:
% 0.97/1.59 1, s:1, b:0),
% 0.97/1.59 class_Fields_Olinordered__field [174, 1] (w:1, o:139, a:1, s:1, b:0)
% 0.97/1.59 ,
% 0.97/1.59 class_Rings_Omult__zero [175, 1] (w:1, o:168, a:1, s:1, b:0),
% 0.97/1.59 class_Rings_Oring__no__zero__divisors [176, 1] (w:1, o:157, a:1, s:1
% 0.97/1.59 , b:0),
% 0.97/1.59 class_Rings_Ono__zero__divisors [177, 1] (w:1, o:169, a:1, s:1, b:0)
% 0.97/1.59 ,
% 0.97/1.59 class_Rings_Ozero__neq__one [178, 1] (w:1, o:170, a:1, s:1, b:0),
% 0.97/1.59 class_Rings_Ocomm__semiring [179, 1] (w:1, o:146, a:1, s:1, b:0),
% 0.97/1.59 class_Rings_Oidom [180, 1] (w:1, o:171, a:1, s:1, b:0),
% 0.97/1.59 class_Rings_Oordered__cancel__semiring [181, 1] (w:1, o:172, a:1, s:1
% 0.97/1.59 , b:0),
% 0.97/1.59 class_Rings_Oordered__ring [182, 1] (w:1, o:173, a:1, s:1, b:0),
% 0.97/1.59 class_Rings_Oordered__semiring [183, 1] (w:1, o:175, a:1, s:1, b:0),
% 0.97/1.59
% 0.97/1.59 class_Rings_Oordered__comm__semiring [184, 1] (w:1, o:176, a:1, s:1
% 0.97/1.59 , b:0),
% 0.97/1.59 class_Rings_Olinordered__semiring__strict [185, 1] (w:1, o:163, a:1
% 0.97/1.59 , s:1, b:0),
% 0.97/1.59 class_Rings_Olinordered__comm__semiring__strict [186, 1] (w:1, o:164
% 0.97/1.59 , a:1, s:1, b:0),
% 0.97/1.59 class_Rings_Olinordered__semidom [187, 1] (w:1, o:165, a:1, s:1, b:0)
% 0.97/1.59 ,
% 0.97/1.59 class_Rings_Oring__1__no__zero__divisors [190, 1] (w:1, o:158, a:1
% 0.97/1.59 , s:1, b:0),
% 0.97/1.59 class_Rings_Olinordered__semiring [191, 1] (w:1, o:166, a:1, s:1, b:0
% 0.97/1.59 ),
% 0.97/1.59 class_Rings_Oordered__ring__abs [192, 1] (w:1, o:174, a:1, s:1, b:0)
% 0.97/1.59 ,
% 0.97/1.59 class_Rings_Olinordered__semiring__1 [193, 1] (w:1, o:167, a:1, s:1
% 0.97/1.59 , b:0),
% 0.97/1.59 class_Groups_Oordered__ab__group__add__abs [199, 1] (w:1, o:177, a:1
% 0.97/1.59 , s:1, b:0),
% 0.97/1.59 class_Groups_Ozero [200, 1] (w:1, o:178, a:1, s:1, b:0),
% 0.97/1.59 class_Groups_Oab__semigroup__mult [201, 1] (w:1, o:179, a:1, s:1, b:0
% 0.97/1.59 ),
% 0.97/1.59 class_Groups_Oab__semigroup__add [202, 1] (w:1, o:180, a:1, s:1, b:0)
% 0.97/1.59 ,
% 0.97/1.59 class_Groups_Ocancel__semigroup__add [203, 1] (w:1, o:181, a:1, s:1
% 0.97/1.59 , b:0),
% 0.97/1.59 class_Groups_Ocancel__ab__semigroup__add [204, 1] (w:1, o:182, a:1
% 0.97/1.59 , s:1, b:0),
% 0.97/1.59 class_Groups_Oone [205, 1] (w:1, o:183, a:1, s:1, b:0),
% 0.97/1.59 class_Groups_Omonoid__add [206, 1] (w:1, o:184, a:1, s:1, b:0),
% 0.97/1.59 class_Groups_Ocomm__monoid__add [207, 1] (w:1, o:185, a:1, s:1, b:0)
% 0.97/1.59 ,
% 0.97/1.59 class_Groups_Oordered__ab__semigroup__add__imp__le [208, 1] (w:1, o:
% 0.97/1.59 186, a:1, s:1, b:0),
% 0.97/1.59 class_Groups_Oordered__ab__semigroup__add [209, 1] (w:1, o:187, a:1
% 0.97/1.59 , s:1, b:0),
% 0.97/1.59 class_Groups_Oordered__cancel__ab__semigroup__add [210, 1] (w:1, o:
% 0.97/1.59 188, a:1, s:1, b:0),
% 0.97/1.59 class_Groups_Oordered__ab__group__add [211, 1] (w:1, o:189, a:1, s:1
% 0.97/1.59 , b:0),
% 0.97/1.59 class_Groups_Omonoid__mult [212, 1] (w:1, o:190, a:1, s:1, b:0),
% 0.97/1.59 class_Groups_Ocomm__monoid__mult [213, 1] (w:1, o:191, a:1, s:1, b:0)
% 0.97/1.59 ,
% 0.97/1.59 class_Groups_Oordered__comm__monoid__add [214, 1] (w:1, o:192, a:1
% 0.97/1.59 , s:1, b:0),
% 0.97/1.59 class_Groups_Oabs__if [215, 1] (w:1, o:193, a:1, s:1, b:0),
% 0.97/1.59 class_Rings_Ocomm__semiring__1 [217, 1] (w:1, o:147, a:1, s:1, b:0),
% 0.97/1.59
% 0.97/1.59 alpha1 [222, 1] (w:1, o:194, a:1, s:1, b:1),
% 0.97/1.59 alpha2 [223, 2] (w:1, o:242, a:1, s:1, b:1),
% 0.97/1.59 alpha3 [224, 3] (w:1, o:271, a:1, s:1, b:1),
% 0.97/1.59 alpha4 [225, 3] (w:1, o:277, a:1, s:1, b:1),
% 0.97/1.59 alpha5 [226, 3] (w:1, o:278, a:1, s:1, b:1),
% 0.97/1.59 alpha6 [227, 3] (w:1, o:287, a:1, s:1, b:1),
% 0.97/1.59 alpha7 [228, 3] (w:1, o:288, a:1, s:1, b:1),
% 0.97/1.59 alpha8 [229, 3] (w:1, o:289, a:1, s:1, b:1),
% 0.97/1.59 alpha9 [230, 3] (w:1, o:290, a:1, s:1, b:1),
% 0.97/1.59 alpha10 [231, 3] (w:1, o:291, a:1, s:1, b:1),
% 0.97/1.59 alpha11 [232, 3] (w:1, o:292, a:1, s:1, b:1),
% 0.97/1.59 alpha12 [233, 3] (w:1, o:293, a:1, s:1, b:1),
% 0.97/1.59 alpha13 [234, 3] (w:1, o:294, a:1, s:1, b:1),
% 0.97/1.59 alpha14 [235, 3] (w:1, o:295, a:1, s:1, b:1),
% 0.97/1.59 alpha15 [236, 2] (w:1, o:237, a:1, s:1, b:1),
% 0.97/1.59 alpha16 [237, 2] (w:1, o:238, a:1, s:1, b:1),
% 0.97/1.59 alpha17 [238, 2] (w:1, o:239, a:1, s:1, b:1),
% 0.97/1.59 alpha18 [239, 2] (w:1, o:240, a:1, s:1, b:1),
% 0.97/1.59 alpha19 [240, 3] (w:1, o:296, a:1, s:1, b:1),
% 0.97/1.59 alpha20 [241, 3] (w:1, o:263, a:1, s:1, b:1),
% 0.97/1.59 alpha21 [242, 3] (w:1, o:264, a:1, s:1, b:1),
% 0.97/1.59 alpha22 [243, 3] (w:1, o:265, a:1, s:1, b:1),
% 0.97/1.59 alpha23 [244, 4] (w:1, o:305, a:1, s:1, b:1),
% 0.97/1.59 alpha24 [245, 4] (w:1, o:306, a:1, s:1, b:1),
% 0.97/1.59 alpha25 [246, 3] (w:1, o:266, a:1, s:1, b:1),
% 0.97/1.59 alpha26 [247, 3] (w:1, o:267, a:1, s:1, b:1),
% 0.97/1.59 alpha27 [248, 3] (w:1, o:268, a:1, s:1, b:1),
% 0.97/1.59 alpha28 [249, 3] (w:1, o:269, a:1, s:1, b:1),
% 0.97/1.59 alpha29 [250, 3] (w:1, o:270, a:1, s:1, b:1),
% 0.97/1.59 alpha30 [251, 3] (w:1, o:272, a:1, s:1, b:1),
% 0.97/1.59 alpha31 [252, 3] (w:1, o:273, a:1, s:1, b:1),
% 0.97/1.59 alpha32 [253, 3] (w:1, o:274, a:1, s:1, b:1),
% 0.97/1.59 alpha33 [254, 3] (w:1, o:275, a:1, s:1, b:1),
% 0.97/1.59 alpha34 [255, 3] (w:1, o:276, a:1, s:1, b:1),
% 0.97/1.59 alpha35 [256, 2] (w:1, o:243, a:1, s:1, b:1),
% 0.97/1.59 alpha36 [257, 4] (w:1, o:307, a:1, s:1, b:1),
% 3.31/3.73 alpha37 [258, 4] (w:1, o:308, a:1, s:1, b:1),
% 3.31/3.73 alpha38 [259, 4] (w:1, o:309, a:1, s:1, b:1),
% 3.31/3.73 alpha39 [260, 4] (w:1, o:310, a:1, s:1, b:1),
% 3.31/3.73 alpha40 [261, 4] (w:1, o:311, a:1, s:1, b:1),
% 3.31/3.73 alpha41 [262, 4] (w:1, o:312, a:1, s:1, b:1),
% 3.31/3.73 alpha42 [263, 4] (w:1, o:313, a:1, s:1, b:1),
% 3.31/3.73 alpha43 [264, 4] (w:1, o:314, a:1, s:1, b:1),
% 3.31/3.73 alpha44 [265, 4] (w:1, o:315, a:1, s:1, b:1),
% 3.31/3.73 alpha45 [266, 4] (w:1, o:316, a:1, s:1, b:1),
% 3.31/3.73 alpha46 [267, 4] (w:1, o:317, a:1, s:1, b:1),
% 3.31/3.73 alpha47 [268, 4] (w:1, o:318, a:1, s:1, b:1),
% 3.31/3.73 alpha48 [269, 2] (w:1, o:244, a:1, s:1, b:1),
% 3.31/3.73 alpha49 [270, 2] (w:1, o:245, a:1, s:1, b:1),
% 3.31/3.73 alpha50 [271, 3] (w:1, o:279, a:1, s:1, b:1),
% 3.31/3.73 alpha51 [272, 3] (w:1, o:280, a:1, s:1, b:1),
% 3.31/3.73 alpha52 [273, 3] (w:1, o:281, a:1, s:1, b:1),
% 3.31/3.73 alpha53 [274, 3] (w:1, o:282, a:1, s:1, b:1),
% 3.31/3.73 alpha54 [275, 4] (w:1, o:319, a:1, s:1, b:1),
% 3.31/3.73 alpha55 [276, 4] (w:1, o:320, a:1, s:1, b:1),
% 3.31/3.73 alpha56 [277, 3] (w:1, o:283, a:1, s:1, b:1),
% 3.31/3.73 alpha57 [278, 3] (w:1, o:284, a:1, s:1, b:1),
% 3.31/3.73 alpha58 [279, 3] (w:1, o:285, a:1, s:1, b:1),
% 3.31/3.73 alpha59 [280, 3] (w:1, o:286, a:1, s:1, b:1),
% 3.31/3.73 alpha60 [281, 4] (w:1, o:321, a:1, s:1, b:1),
% 3.31/3.73 alpha61 [282, 4] (w:1, o:322, a:1, s:1, b:1),
% 3.31/3.73 alpha62 [283, 4] (w:1, o:323, a:1, s:1, b:1),
% 3.31/3.73 alpha63 [284, 4] (w:1, o:324, a:1, s:1, b:1),
% 3.31/3.73 alpha64 [285, 4] (w:1, o:325, a:1, s:1, b:1),
% 3.31/3.73 alpha65 [286, 4] (w:1, o:326, a:1, s:1, b:1),
% 3.31/3.73 alpha66 [287, 4] (w:1, o:327, a:1, s:1, b:1),
% 3.31/3.73 alpha67 [288, 4] (w:1, o:328, a:1, s:1, b:1),
% 3.31/3.73 alpha68 [289, 4] (w:1, o:329, a:1, s:1, b:1),
% 3.31/3.73 alpha69 [290, 4] (w:1, o:330, a:1, s:1, b:1),
% 3.31/3.73 alpha70 [291, 4] (w:1, o:331, a:1, s:1, b:1),
% 3.31/3.73 alpha71 [292, 4] (w:1, o:332, a:1, s:1, b:1),
% 3.31/3.73 alpha72 [293, 4] (w:1, o:333, a:1, s:1, b:1),
% 3.31/3.73 alpha73 [294, 4] (w:1, o:334, a:1, s:1, b:1),
% 3.31/3.73 alpha74 [295, 4] (w:1, o:335, a:1, s:1, b:1),
% 3.31/3.73 alpha75 [296, 4] (w:1, o:336, a:1, s:1, b:1),
% 3.31/3.73 alpha76 [297, 4] (w:1, o:337, a:1, s:1, b:1),
% 3.31/3.73 alpha77 [298, 4] (w:1, o:338, a:1, s:1, b:1),
% 3.31/3.73 alpha78 [299, 4] (w:1, o:339, a:1, s:1, b:1),
% 3.31/3.73 alpha79 [300, 4] (w:1, o:340, a:1, s:1, b:1),
% 3.31/3.73 alpha80 [301, 4] (w:1, o:341, a:1, s:1, b:1),
% 3.31/3.73 alpha81 [302, 4] (w:1, o:342, a:1, s:1, b:1),
% 3.31/3.73 alpha82 [303, 4] (w:1, o:343, a:1, s:1, b:1),
% 3.31/3.73 alpha83 [304, 4] (w:1, o:344, a:1, s:1, b:1),
% 3.31/3.73 alpha84 [305, 4] (w:1, o:345, a:1, s:1, b:1),
% 3.31/3.73 alpha85 [306, 4] (w:1, o:346, a:1, s:1, b:1),
% 3.31/3.73 alpha86 [307, 4] (w:1, o:347, a:1, s:1, b:1),
% 3.31/3.73 alpha87 [308, 4] (w:1, o:348, a:1, s:1, b:1),
% 3.31/3.73 alpha88 [309, 4] (w:1, o:349, a:1, s:1, b:1),
% 3.31/3.73 alpha89 [310, 4] (w:1, o:350, a:1, s:1, b:1),
% 3.31/3.73 alpha90 [311, 4] (w:1, o:351, a:1, s:1, b:1),
% 3.31/3.73 alpha91 [312, 4] (w:1, o:352, a:1, s:1, b:1),
% 3.31/3.73 alpha92 [313, 4] (w:1, o:353, a:1, s:1, b:1),
% 3.31/3.73 alpha93 [314, 4] (w:1, o:354, a:1, s:1, b:1),
% 3.31/3.73 alpha94 [315, 4] (w:1, o:355, a:1, s:1, b:1),
% 3.31/3.73 alpha95 [316, 4] (w:1, o:356, a:1, s:1, b:1),
% 3.31/3.73 alpha96 [317, 4] (w:1, o:357, a:1, s:1, b:1),
% 3.31/3.73 alpha97 [318, 4] (w:1, o:358, a:1, s:1, b:1),
% 3.31/3.73 alpha98 [319, 4] (w:1, o:359, a:1, s:1, b:1),
% 3.31/3.73 alpha99 [320, 4] (w:1, o:360, a:1, s:1, b:1),
% 3.31/3.73 alpha100 [321, 4] (w:1, o:303, a:1, s:1, b:1),
% 3.31/3.73 alpha101 [322, 4] (w:1, o:304, a:1, s:1, b:1),
% 3.31/3.73 alpha102 [323, 3] (w:1, o:261, a:1, s:1, b:1),
% 3.31/3.73 alpha103 [324, 2] (w:1, o:241, a:1, s:1, b:1),
% 3.31/3.73 alpha104 [325, 3] (w:1, o:262, a:1, s:1, b:1),
% 3.31/3.73 skol1 [326, 1] (w:1, o:195, a:1, s:1, b:1),
% 3.31/3.73 skol2 [327, 0] (w:1, o:10, a:1, s:1, b:1),
% 3.31/3.73 skol3 [328, 0] (w:1, o:14, a:1, s:1, b:1),
% 3.31/3.73 skol4 [329, 0] (w:1, o:15, a:1, s:1, b:1),
% 3.31/3.73 skol5 [330, 0] (w:1, o:16, a:1, s:1, b:1),
% 3.31/3.73 skol6 [331, 3] (w:1, o:297, a:1, s:1, b:1),
% 3.31/3.73 skol7 [332, 3] (w:1, o:298, a:1, s:1, b:1),
% 3.31/3.73 skol8 [333, 1] (w:1, o:196, a:1, s:1, b:1),
% 3.31/3.73 skol9 [334, 1] (w:1, o:197, a:1, s:1, b:1),
% 26.06/26.41 skol10 [335, 1] (w:1, o:198, a:1, s:1, b:1),
% 26.06/26.41 skol11 [336, 1] (w:1, o:199, a:1, s:1, b:1),
% 26.06/26.41 skol12 [337, 2] (w:1, o:246, a:1, s:1, b:1),
% 26.06/26.41 skol13 [338, 1] (w:1, o:200, a:1, s:1, b:1),
% 26.06/26.41 skol14 [339, 0] (w:1, o:7, a:1, s:1, b:1),
% 26.06/26.41 skol15 [340, 1] (w:1, o:201, a:1, s:1, b:1),
% 26.06/26.41 skol16 [341, 1] (w:1, o:202, a:1, s:1, b:1),
% 26.06/26.41 skol17 [342, 1] (w:1, o:203, a:1, s:1, b:1),
% 26.06/26.41 skol18 [343, 0] (w:1, o:8, a:1, s:1, b:1),
% 26.06/26.41 skol19 [344, 0] (w:1, o:9, a:1, s:1, b:1),
% 26.06/26.41 skol20 [345, 0] (w:1, o:11, a:1, s:1, b:1),
% 26.06/26.41 skol21 [346, 2] (w:1, o:247, a:1, s:1, b:1),
% 26.06/26.41 skol22 [347, 1] (w:1, o:204, a:1, s:1, b:1),
% 26.06/26.41 skol23 [348, 2] (w:1, o:248, a:1, s:1, b:1),
% 26.06/26.41 skol24 [349, 2] (w:1, o:249, a:1, s:1, b:1),
% 26.06/26.41 skol25 [350, 3] (w:1, o:299, a:1, s:1, b:1),
% 26.06/26.41 skol26 [351, 3] (w:1, o:300, a:1, s:1, b:1),
% 26.06/26.41 skol27 [352, 0] (w:1, o:12, a:1, s:1, b:1),
% 26.06/26.41 skol28 [353, 0] (w:1, o:13, a:1, s:1, b:1),
% 26.06/26.41 skol29 [354, 2] (w:1, o:250, a:1, s:1, b:1),
% 26.06/26.41 skol30 [355, 2] (w:1, o:251, a:1, s:1, b:1),
% 26.06/26.41 skol31 [356, 1] (w:1, o:205, a:1, s:1, b:1),
% 26.06/26.41 skol32 [357, 3] (w:1, o:301, a:1, s:1, b:1),
% 26.06/26.41 skol33 [358, 3] (w:1, o:302, a:1, s:1, b:1),
% 26.06/26.41 skol34 [359, 2] (w:1, o:252, a:1, s:1, b:1),
% 26.06/26.41 skol35 [360, 2] (w:1, o:253, a:1, s:1, b:1).
% 26.06/26.41
% 26.06/26.41
% 26.06/26.41 Starting Search:
% 26.06/26.41
% 26.06/26.41 *** allocated 170857 integers for clauses
% 26.06/26.41 Resimplifying inuse:
% 26.06/26.41 Done
% 26.06/26.41
% 26.06/26.41
% 26.06/26.41 Intermediate Status:
% 26.06/26.41 Generated: 2943
% 26.06/26.41 Kept: 2196
% 26.06/26.41 Inuse: 128
% 26.06/26.41 Deleted: 13
% 26.06/26.41 Deletedinuse: 0
% 26.06/26.41
% 26.06/26.41 *** allocated 256285 integers for clauses
% 26.06/26.41 Resimplifying inuse:
% 26.06/26.41 Done
% 26.06/26.41
% 26.06/26.41 *** allocated 170857 integers for termspace/termends
% 26.06/26.41 Resimplifying inuse:
% 26.06/26.41 Done
% 26.06/26.41
% 26.06/26.41 *** allocated 384427 integers for clauses
% 26.06/26.41
% 26.06/26.41 Intermediate Status:
% 26.06/26.41 Generated: 5963
% 26.06/26.41 Kept: 4196
% 26.06/26.41 Inuse: 289
% 26.06/26.41 Deleted: 23
% 26.06/26.41 Deletedinuse: 3
% 26.06/26.41
% 26.06/26.41 Resimplifying inuse:
% 26.06/26.41 Done
% 26.06/26.41
% 26.06/26.41 *** allocated 256285 integers for termspace/termends
% 26.06/26.41 Resimplifying inuse:
% 26.06/26.41 Done
% 26.06/26.41
% 26.06/26.41
% 26.06/26.41 Intermediate Status:
% 26.06/26.41 Generated: 11749
% 26.06/26.41 Kept: 6688
% 26.06/26.41 Inuse: 359
% 26.06/26.41 Deleted: 25
% 26.06/26.41 Deletedinuse: 3
% 26.06/26.41
% 26.06/26.41 *** allocated 576640 integers for clauses
% 26.06/26.41 Resimplifying inuse:
% 26.06/26.41 Done
% 26.06/26.41
% 26.06/26.41 Resimplifying inuse:
% 26.06/26.41 Done
% 26.06/26.41
% 26.06/26.41
% 26.06/26.41 Intermediate Status:
% 26.06/26.41 Generated: 17999
% 26.06/26.41 Kept: 8688
% 26.06/26.41 Inuse: 380
% 26.06/26.41 Deleted: 28
% 26.06/26.41 Deletedinuse: 6
% 26.06/26.41
% 26.06/26.41 Resimplifying inuse:
% 26.06/26.41 Done
% 26.06/26.41
% 26.06/26.41 *** allocated 384427 integers for termspace/termends
% 26.06/26.41 *** allocated 864960 integers for clauses
% 26.06/26.41
% 26.06/26.41 Intermediate Status:
% 26.06/26.41 Generated: 24591
% 26.06/26.41 Kept: 11188
% 26.06/26.41 Inuse: 449
% 26.06/26.41 Deleted: 28
% 26.06/26.41 Deletedinuse: 6
% 26.06/26.41
% 26.06/26.41 Resimplifying inuse:
% 26.06/26.41 Done
% 26.06/26.41
% 26.06/26.41 Resimplifying inuse:
% 26.06/26.41 Done
% 26.06/26.41
% 26.06/26.41
% 26.06/26.41 Intermediate Status:
% 26.06/26.41 Generated: 32250
% 26.06/26.41 Kept: 13233
% 26.06/26.41 Inuse: 553
% 26.06/26.41 Deleted: 30
% 26.06/26.41 Deletedinuse: 7
% 26.06/26.41
% 26.06/26.41 Resimplifying inuse:
% 26.06/26.41 Done
% 26.06/26.41
% 26.06/26.41 Resimplifying inuse:
% 26.06/26.41 Done
% 26.06/26.41
% 26.06/26.41
% 26.06/26.41 Intermediate Status:
% 26.06/26.41 Generated: 38030
% 26.06/26.41 Kept: 15246
% 26.06/26.41 Inuse: 650
% 26.06/26.41 Deleted: 36
% 26.06/26.41 Deletedinuse: 7
% 26.06/26.41
% 26.06/26.41 Resimplifying inuse:
% 26.06/26.41 Done
% 26.06/26.41
% 26.06/26.41 *** allocated 576640 integers for termspace/termends
% 26.06/26.41 *** allocated 1297440 integers for clauses
% 26.06/26.41
% 26.06/26.41 Intermediate Status:
% 26.06/26.41 Generated: 44370
% 26.06/26.41 Kept: 18591
% 26.06/26.41 Inuse: 700
% 26.06/26.41 Deleted: 44
% 26.06/26.41 Deletedinuse: 8
% 26.06/26.41
% 26.06/26.41 Resimplifying inuse:
% 26.06/26.41 Done
% 26.06/26.41
% 26.06/26.41 Resimplifying inuse:
% 26.06/26.41 Done
% 26.06/26.41
% 26.06/26.41 Resimplifying clauses:
% 26.06/26.41 Done
% 26.06/26.41
% 26.06/26.41
% 26.06/26.41 Intermediate Status:
% 26.06/26.41 Generated: 51341
% 26.06/26.41 Kept: 20594
% 26.06/26.41 Inuse: 724
% 26.06/26.41 Deleted: 822
% 26.06/26.41 Deletedinuse: 8
% 26.06/26.41
% 26.06/26.41 Resimplifying inuse:
% 26.06/26.41 Done
% 26.06/26.41
% 26.06/26.41
% 26.06/26.41 Intermediate Status:
% 26.06/26.41 Generated: 58326
% 26.06/26.41 Kept: 22615
% 26.06/26.41 Inuse: 747
% 26.06/26.41 Deleted: 822
% 26.06/26.41 Deletedinuse: 8
% 26.06/26.41
% 26.06/26.41 Resimplifying inuse:
% 26.06/26.41 Done
% 26.06/26.41
% 26.06/26.41
% 26.06/26.41 Intermediate Status:
% 26.06/26.41 Generated: 63924
% 26.06/26.41 Kept: 24640
% 26.06/26.41 Inuse: 783
% 26.06/26.41 Deleted: 823
% 26.06/26.41 Deletedinuse: 9
% 26.06/26.41
% 26.06/26.41 Resimplifying inuse:
% 26.06/26.41 Done
% 26.06/26.41
% 26.06/26.41 *** allocated 864960 integers for termspace/termends
% 26.06/26.41 Resimplifying inuse:
% 26.06/26.41 Done
% 26.06/26.41
% 26.06/26.41
% 26.06/26.41 Intermediate Status:
% 26.06/26.41 Generated: 69770
% 26.06/26.41 Kept: 26652
% 26.06/26.41 Inuse: 836
% 26.06/26.41 Deleted: 823
% 26.06/26.41 Deletedinuse: 9
% 26.06/26.41
% 26.06/26.41 Resimplifying inuse:
% 26.06/26.41 Done
% 26.06/26.41
% 26.06/26.41 *** allocated 1946160 integers for clauses
% 26.06/26.41 Resimplifying inuse:
% 26.06/26.41 Done
% 26.06/26.41
% 26.06/26.41
% 26.06/26.41 Intermediate Status:
% 26.06/26.41 Generated: 77598
% 26.06/26.41 Kept: 30149
% 26.06/26.41 Inuse: 885
% 26.06/26.41 Deleted: 823
% 26.06/26.41 Deletedinuse: 9
% 26.06/26.41
% 26.06/26.41 Resimplifying inuse:
% 26.06/26.41 Done
% 26.06/26.41
% 26.06/26.41 Resimplifying inuse:
% 26.06/26.41 Done
% 26.06/26.41
% 26.06/26.41
% 26.06/26.41 Intermediate Status:
% 26.06/26.41 Generated: 85751
% 86.44/86.85 Kept: 33823
% 86.44/86.85 Inuse: 930
% 86.44/86.85 Deleted: 823
% 86.44/86.85 Deletedinuse: 9
% 86.44/86.85
% 86.44/86.85 Resimplifying inuse:
% 86.44/86.85 Done
% 86.44/86.85
% 86.44/86.85 Resimplifying inuse:
% 86.44/86.85 Done
% 86.44/86.85
% 86.44/86.85
% 86.44/86.85 Intermediate Status:
% 86.44/86.85 Generated: 91615
% 86.44/86.85 Kept: 35905
% 86.44/86.85 Inuse: 980
% 86.44/86.85 Deleted: 823
% 86.44/86.85 Deletedinuse: 9
% 86.44/86.85
% 86.44/86.85 Resimplifying inuse:
% 86.44/86.85 Done
% 86.44/86.85
% 86.44/86.85 Resimplifying inuse:
% 86.44/86.85 Done
% 86.44/86.85
% 86.44/86.85
% 86.44/86.85 Intermediate Status:
% 86.44/86.85 Generated: 97650
% 86.44/86.85 Kept: 37973
% 86.44/86.85 Inuse: 1030
% 86.44/86.85 Deleted: 823
% 86.44/86.85 Deletedinuse: 9
% 86.44/86.85
% 86.44/86.85 Resimplifying inuse:
% 86.44/86.85 Done
% 86.44/86.85
% 86.44/86.85
% 86.44/86.85 Intermediate Status:
% 86.44/86.85 Generated: 103348
% 86.44/86.85 Kept: 40313
% 86.44/86.85 Inuse: 1057
% 86.44/86.85 Deleted: 823
% 86.44/86.85 Deletedinuse: 9
% 86.44/86.85
% 86.44/86.85 Resimplifying inuse:
% 86.44/86.85 Done
% 86.44/86.85
% 86.44/86.85 Resimplifying clauses:
% 86.44/86.85 Done
% 86.44/86.85
% 86.44/86.85 Resimplifying inuse:
% 86.44/86.85 Done
% 86.44/86.85
% 86.44/86.85 *** allocated 2919240 integers for clauses
% 86.44/86.85 *** allocated 1297440 integers for termspace/termends
% 86.44/86.85
% 86.44/86.85 Intermediate Status:
% 86.44/86.85 Generated: 112047
% 86.44/86.85 Kept: 44343
% 86.44/86.85 Inuse: 1115
% 86.44/86.85 Deleted: 1009
% 86.44/86.85 Deletedinuse: 9
% 86.44/86.85
% 86.44/86.85 Resimplifying inuse:
% 86.44/86.85 Done
% 86.44/86.85
% 86.44/86.85
% 86.44/86.85 Intermediate Status:
% 86.44/86.85 Generated: 125709
% 86.44/86.85 Kept: 47887
% 86.44/86.85 Inuse: 1160
% 86.44/86.85 Deleted: 1009
% 86.44/86.85 Deletedinuse: 9
% 86.44/86.85
% 86.44/86.85 Resimplifying inuse:
% 86.44/86.85 Done
% 86.44/86.85
% 86.44/86.85
% 86.44/86.85 Intermediate Status:
% 86.44/86.85 Generated: 136250
% 86.44/86.85 Kept: 50887
% 86.44/86.85 Inuse: 1175
% 86.44/86.85 Deleted: 1009
% 86.44/86.85 Deletedinuse: 9
% 86.44/86.85
% 86.44/86.85 Resimplifying inuse:
% 86.44/86.85 Done
% 86.44/86.85
% 86.44/86.85 Resimplifying inuse:
% 86.44/86.85 Done
% 86.44/86.85
% 86.44/86.85
% 86.44/86.85 Intermediate Status:
% 86.44/86.85 Generated: 147431
% 86.44/86.85 Kept: 57373
% 86.44/86.85 Inuse: 1200
% 86.44/86.85 Deleted: 1009
% 86.44/86.85 Deletedinuse: 9
% 86.44/86.85
% 86.44/86.85 Resimplifying inuse:
% 86.44/86.85 Done
% 86.44/86.85
% 86.44/86.85 Resimplifying inuse:
% 86.44/86.85 Done
% 86.44/86.85
% 86.44/86.85
% 86.44/86.85 Intermediate Status:
% 86.44/86.85 Generated: 153619
% 86.44/86.85 Kept: 59517
% 86.44/86.85 Inuse: 1225
% 86.44/86.85 Deleted: 1011
% 86.44/86.85 Deletedinuse: 11
% 86.44/86.85
% 86.44/86.85 Resimplifying inuse:
% 86.44/86.85 Done
% 86.44/86.85
% 86.44/86.85 Resimplifying clauses:
% 86.44/86.85 Done
% 86.44/86.85
% 86.44/86.85 Resimplifying inuse:
% 86.44/86.85 Done
% 86.44/86.85
% 86.44/86.85
% 86.44/86.85 Intermediate Status:
% 86.44/86.85 Generated: 158914
% 86.44/86.85 Kept: 61523
% 86.44/86.85 Inuse: 1287
% 86.44/86.85 Deleted: 1442
% 86.44/86.85 Deletedinuse: 11
% 86.44/86.85
% 86.44/86.85 Resimplifying inuse:
% 86.44/86.85 Done
% 86.44/86.85
% 86.44/86.85 Resimplifying inuse:
% 86.44/86.85 Done
% 86.44/86.85
% 86.44/86.85
% 86.44/86.85 Intermediate Status:
% 86.44/86.85 Generated: 165329
% 86.44/86.85 Kept: 63660
% 86.44/86.85 Inuse: 1333
% 86.44/86.85 Deleted: 1442
% 86.44/86.85 Deletedinuse: 11
% 86.44/86.85
% 86.44/86.85 Resimplifying inuse:
% 86.44/86.85 Done
% 86.44/86.85
% 86.44/86.85 Resimplifying inuse:
% 86.44/86.85 Done
% 86.44/86.85
% 86.44/86.85 *** allocated 4378860 integers for clauses
% 86.44/86.85 *** allocated 1946160 integers for termspace/termends
% 86.44/86.85
% 86.44/86.85 Intermediate Status:
% 86.44/86.85 Generated: 170976
% 86.44/86.85 Kept: 65701
% 86.44/86.85 Inuse: 1358
% 86.44/86.85 Deleted: 1451
% 86.44/86.85 Deletedinuse: 20
% 86.44/86.85
% 86.44/86.85 Resimplifying inuse:
% 86.44/86.85 Done
% 86.44/86.85
% 86.44/86.85 Resimplifying inuse:
% 86.44/86.85 Done
% 86.44/86.85
% 86.44/86.85
% 86.44/86.85 Intermediate Status:
% 86.44/86.85 Generated: 176868
% 86.44/86.85 Kept: 67728
% 86.44/86.85 Inuse: 1388
% 86.44/86.85 Deleted: 1451
% 86.44/86.85 Deletedinuse: 20
% 86.44/86.85
% 86.44/86.85 Resimplifying inuse:
% 86.44/86.85 Done
% 86.44/86.85
% 86.44/86.85
% 86.44/86.85 Intermediate Status:
% 86.44/86.85 Generated: 181423
% 86.44/86.85 Kept: 70045
% 86.44/86.85 Inuse: 1394
% 86.44/86.85 Deleted: 1467
% 86.44/86.85 Deletedinuse: 36
% 86.44/86.85
% 86.44/86.85 Resimplifying inuse:
% 86.44/86.85 Done
% 86.44/86.85
% 86.44/86.85 Resimplifying inuse:
% 86.44/86.85 Done
% 86.44/86.85
% 86.44/86.85
% 86.44/86.85 Intermediate Status:
% 86.44/86.85 Generated: 187390
% 86.44/86.85 Kept: 72107
% 86.44/86.85 Inuse: 1443
% 86.44/86.85 Deleted: 1467
% 86.44/86.85 Deletedinuse: 36
% 86.44/86.85
% 86.44/86.85 Resimplifying inuse:
% 86.44/86.85 Done
% 86.44/86.85
% 86.44/86.85 Resimplifying inuse:
% 86.44/86.85 Done
% 86.44/86.85
% 86.44/86.85
% 86.44/86.85 Intermediate Status:
% 86.44/86.85 Generated: 209886
% 86.44/86.85 Kept: 76196
% 86.44/86.85 Inuse: 1493
% 86.44/86.85 Deleted: 1467
% 86.44/86.85 Deletedinuse: 36
% 86.44/86.85
% 86.44/86.85 Resimplifying inuse:
% 86.44/86.85 Done
% 86.44/86.85
% 86.44/86.85 Resimplifying inuse:
% 86.44/86.85 Done
% 86.44/86.85
% 86.44/86.85
% 86.44/86.85 Intermediate Status:
% 86.44/86.85 Generated: 234425
% 86.44/86.85 Kept: 79813
% 86.44/86.85 Inuse: 1503
% 86.44/86.85 Deleted: 1467
% 86.44/86.85 Deletedinuse: 36
% 86.44/86.85
% 86.44/86.85 Resimplifying inuse:
% 86.44/86.85 Done
% 86.44/86.85
% 86.44/86.85 Resimplifying inuse:
% 86.44/86.85 Done
% 86.44/86.85
% 86.44/86.85 Resimplifying clauses:
% 86.44/86.85 Done
% 86.44/86.85
% 86.44/86.85
% 86.44/86.85 Intermediate Status:
% 86.44/86.85 Generated: 251631
% 86.44/86.85 Kept: 83124
% 86.44/86.85 Inuse: 1523
% 86.44/86.85 Deleted: 5349
% 86.44/86.85 Deletedinuse: 36
% 86.44/86.85
% 86.44/86.85 Resimplifying inuse:
% 86.44/86.85 Done
% 86.44/86.85
% 86.44/86.85 Resimplifying inuse:
% 86.44/86.85 Done
% 86.44/86.85
% 86.44/86.85
% 86.44/86.85 Intermediate Status:
% 86.44/86.85 Generated: 263519
% 86.44/86.85 Kept: 86414
% 86.44/86.85 Inuse: 1538
% 86.44/86.85 Deleted: 5349
% 86.44/86.85 Deletedinuse: 36
% 86.44/86.85
% 86.44/86.85 Resimplifying inuse:
% 86.44/86.85 Done
% 86.44/86.85
% 86.44/86.85 Resimplifying inuse:
% 86.44/86.85 Done
% 86.44/86.85
% 86.44/86.85
% 86.44/86.85 Intermediate Status:
% 86.44/86.85 Generated: 270427
% 86.44/86.85 Kept: 88565
% 86.44/86.85 Inuse: 1553
% 86.44/86.85 Deleted: 5349
% 86.44/86.85 Deletedinuse: 36
% 86.44/86.85
% 86.44/86.85 Resimplifying inuse:
% 86.44/86.85 Done
% 86.44/86.85
% 86.44/86.85 *** allocated 2919240 integers for termspace/termends
% 86.44/86.85
% 86.44/86.85 Intermediate Status:
% 86.44/86.85 Generated: 281365
% 86.44/86.85 Kept: 91668
% 86.44/86.85 Inuse: 1563
% 86.44/86.85 Deleted: 5349
% 86.44/86.85 Deletedinuse: 36
% 86.44/86.85
% 86.44/86.85 Resimplifying inuse:
% 86.44/86.85 Done
% 86.44/86.85
% 86.44/86.85 Resimplifying inuse:
% 86.44/86.85 Done
% 86.44/86.85
% 86.44/86.85
% 86.44/86.85 Intermediate Status:
% 86.44/86.85 Generated: 288723
% 86.44/86.85 Kept: 93691
% 86.44/86.85 Inuse: 1602
% 86.44/86.85 Deleted: 5349
% 86.44/86.85 Deletedinuse: 36
% 86.44/86.85
% 86.44/86.85 Resimplifying inuse:
% 86.44/86.85 Done
% 86.44/86.85
% 86.44/86.85
% 86.44/86.85 Intermediate Status:
% 86.44/86.85 Generated: 297300
% 86.44/86.85 Kept: 95897
% 86.44/86.85 Inuse: 1618
% 86.44/86.85 Deleted: 5349
% 86.44/86.85 Deletedinuse: 36
% 86.44/86.85
% 86.44/86.85 Resimplifying inuse:
% 86.44/86.85 Done
% 86.44/86.85
% 86.44/86.85 Resimplifying inuse:
% 86.44/86.85 Done
% 86.44/86.85
% 86.44/86.85 *** allocated 6568290 integers for clauses
% 191.26/191.63
% 191.26/191.63 Intermediate Status:
% 191.26/191.63 Generated: 307668
% 191.26/191.63 Kept: 99738
% 191.26/191.63 Inuse: 1626
% 191.26/191.63 Deleted: 5349
% 191.26/191.63 Deletedinuse: 36
% 191.26/191.63
% 191.26/191.63 Resimplifying inuse:
% 191.26/191.63 Done
% 191.26/191.63
% 191.26/191.63 Resimplifying inuse:
% 191.26/191.63 Done
% 191.26/191.63
% 191.26/191.63 Resimplifying clauses:
% 191.26/191.63 Done
% 191.26/191.63
% 191.26/191.63
% 191.26/191.63 Intermediate Status:
% 191.26/191.63 Generated: 318904
% 191.26/191.63 Kept: 102790
% 191.26/191.63 Inuse: 1658
% 191.26/191.63 Deleted: 6102
% 191.26/191.63 Deletedinuse: 37
% 191.26/191.63
% 191.26/191.63 Resimplifying inuse:
% 191.26/191.63 Done
% 191.26/191.63
% 191.26/191.63 Resimplifying inuse:
% 191.26/191.63 Done
% 191.26/191.63
% 191.26/191.63
% 191.26/191.63 Intermediate Status:
% 191.26/191.63 Generated: 331438
% 191.26/191.63 Kept: 106400
% 191.26/191.63 Inuse: 1678
% 191.26/191.63 Deleted: 6102
% 191.26/191.63 Deletedinuse: 37
% 191.26/191.63
% 191.26/191.63 Resimplifying inuse:
% 191.26/191.63 Done
% 191.26/191.63
% 191.26/191.63 Resimplifying inuse:
% 191.26/191.63 Done
% 191.26/191.63
% 191.26/191.63
% 191.26/191.63 Intermediate Status:
% 191.26/191.63 Generated: 349544
% 191.26/191.63 Kept: 110582
% 191.26/191.63 Inuse: 1708
% 191.26/191.63 Deleted: 6104
% 191.26/191.63 Deletedinuse: 39
% 191.26/191.63
% 191.26/191.63 Resimplifying inuse:
% 191.26/191.63 Done
% 191.26/191.63
% 191.26/191.63
% 191.26/191.63 Intermediate Status:
% 191.26/191.63 Generated: 357462
% 191.26/191.63 Kept: 115327
% 191.26/191.63 Inuse: 1728
% 191.26/191.63 Deleted: 6104
% 191.26/191.63 Deletedinuse: 39
% 191.26/191.63
% 191.26/191.63 Resimplifying inuse:
% 191.26/191.63 Done
% 191.26/191.63
% 191.26/191.63
% 191.26/191.63 Intermediate Status:
% 191.26/191.63 Generated: 373299
% 191.26/191.63 Kept: 118845
% 191.26/191.63 Inuse: 1753
% 191.26/191.63 Deleted: 6104
% 191.26/191.63 Deletedinuse: 39
% 191.26/191.63
% 191.26/191.63 Resimplifying inuse:
% 191.26/191.63 Done
% 191.26/191.63
% 191.26/191.63
% 191.26/191.63 Intermediate Status:
% 191.26/191.63 Generated: 381461
% 191.26/191.63 Kept: 123707
% 191.26/191.63 Inuse: 1773
% 191.26/191.63 Deleted: 6104
% 191.26/191.63 Deletedinuse: 39
% 191.26/191.63
% 191.26/191.63 Resimplifying inuse:
% 191.26/191.63 Done
% 191.26/191.63
% 191.26/191.63 Resimplifying clauses:
% 191.26/191.63 Done
% 191.26/191.63
% 191.26/191.63 Resimplifying inuse:
% 191.26/191.63 Done
% 191.26/191.63
% 191.26/191.63
% 191.26/191.63 Intermediate Status:
% 191.26/191.63 Generated: 394054
% 191.26/191.63 Kept: 127121
% 191.26/191.63 Inuse: 1798
% 191.26/191.63 Deleted: 6197
% 191.26/191.63 Deletedinuse: 39
% 191.26/191.63
% 191.26/191.63 Resimplifying inuse:
% 191.26/191.63 Done
% 191.26/191.63
% 191.26/191.63
% 191.26/191.63 Intermediate Status:
% 191.26/191.63 Generated: 401012
% 191.26/191.63 Kept: 129369
% 191.26/191.63 Inuse: 1813
% 191.26/191.63 Deleted: 6197
% 191.26/191.63 Deletedinuse: 39
% 191.26/191.63
% 191.26/191.63 Resimplifying inuse:
% 191.26/191.63 Done
% 191.26/191.63
% 191.26/191.63 *** allocated 4378860 integers for termspace/termends
% 191.26/191.63 Resimplifying inuse:
% 191.26/191.63 Done
% 191.26/191.63
% 191.26/191.63
% 191.26/191.63 Intermediate Status:
% 191.26/191.63 Generated: 407650
% 191.26/191.63 Kept: 131386
% 191.26/191.63 Inuse: 1847
% 191.26/191.63 Deleted: 6199
% 191.26/191.63 Deletedinuse: 41
% 191.26/191.63
% 191.26/191.63 Resimplifying inuse:
% 191.26/191.63 Done
% 191.26/191.63
% 191.26/191.63 Resimplifying inuse:
% 191.26/191.63 Done
% 191.26/191.63
% 191.26/191.63
% 191.26/191.63 Intermediate Status:
% 191.26/191.63 Generated: 419508
% 191.26/191.63 Kept: 133396
% 191.26/191.63 Inuse: 1871
% 191.26/191.63 Deleted: 6199
% 191.26/191.63 Deletedinuse: 41
% 191.26/191.63
% 191.26/191.63
% 191.26/191.63 Intermediate Status:
% 191.26/191.63 Generated: 433446
% 191.26/191.63 Kept: 137454
% 191.26/191.63 Inuse: 1873
% 191.26/191.63 Deleted: 6199
% 191.26/191.63 Deletedinuse: 41
% 191.26/191.63
% 191.26/191.63 Resimplifying inuse:
% 191.26/191.63 Done
% 191.26/191.63
% 191.26/191.63
% 191.26/191.63 Intermediate Status:
% 191.26/191.63 Generated: 449015
% 191.26/191.63 Kept: 141835
% 191.26/191.63 Inuse: 1883
% 191.26/191.63 Deleted: 6199
% 191.26/191.63 Deletedinuse: 41
% 191.26/191.63
% 191.26/191.63 Resimplifying inuse:
% 191.26/191.63 Done
% 191.26/191.63
% 191.26/191.63
% 191.26/191.63 Intermediate Status:
% 191.26/191.63 Generated: 461438
% 191.26/191.63 Kept: 150370
% 191.26/191.63 Inuse: 1893
% 191.26/191.63 Deleted: 6199
% 191.26/191.63 Deletedinuse: 41
% 191.26/191.63
% 191.26/191.63 Resimplifying inuse:
% 191.26/191.63 Done
% 191.26/191.63
% 191.26/191.63 Resimplifying clauses:
% 191.26/191.63 Done
% 191.26/191.63
% 191.26/191.63 Resimplifying inuse:
% 191.26/191.63 Done
% 191.26/191.63
% 191.26/191.63 *** allocated 9852435 integers for clauses
% 191.26/191.63
% 191.26/191.63 Intermediate Status:
% 191.26/191.63 Generated: 481229
% 191.26/191.63 Kept: 156557
% 191.26/191.63 Inuse: 1932
% 191.26/191.63 Deleted: 6274
% 191.26/191.63 Deletedinuse: 41
% 191.26/191.63
% 191.26/191.63 Resimplifying inuse:
% 191.26/191.63 Done
% 191.26/191.63
% 191.26/191.63
% 191.26/191.63 Intermediate Status:
% 191.26/191.63 Generated: 496656
% 191.26/191.63 Kept: 161198
% 191.26/191.63 Inuse: 1942
% 191.26/191.63 Deleted: 6274
% 191.26/191.63 Deletedinuse: 41
% 191.26/191.63
% 191.26/191.63 Resimplifying inuse:
% 191.26/191.63 Done
% 191.26/191.63
% 191.26/191.63
% 191.26/191.63 Intermediate Status:
% 191.26/191.63 Generated: 511846
% 191.26/191.63 Kept: 165448
% 191.26/191.63 Inuse: 1952
% 191.26/191.63 Deleted: 6274
% 191.26/191.63 Deletedinuse: 41
% 191.26/191.63
% 191.26/191.63 Resimplifying inuse:
% 191.26/191.63 Done
% 191.26/191.63
% 191.26/191.63
% 191.26/191.63 Intermediate Status:
% 191.26/191.63 Generated: 518356
% 191.26/191.63 Kept: 168724
% 191.26/191.63 Inuse: 1960
% 191.26/191.63 Deleted: 6274
% 191.26/191.63 Deletedinuse: 41
% 191.26/191.63
% 191.26/191.63 Resimplifying inuse:
% 191.26/191.63 Done
% 191.26/191.63
% 191.26/191.63 Resimplifying inuse:
% 191.26/191.63 Done
% 191.26/191.63
% 191.26/191.63 Resimplifying clauses:
% 191.26/191.63 Done
% 191.26/191.63
% 191.26/191.63
% 191.26/191.63 Intermediate Status:
% 191.26/191.63 Generated: 523443
% 191.26/191.63 Kept: 170766
% 191.26/191.63 Inuse: 1992
% 191.26/191.63 Deleted: 6580
% 191.26/191.63 Deletedinuse: 41
% 191.26/191.63
% 191.26/191.63 Resimplifying inuse:
% 191.26/191.63 Done
% 191.26/191.63
% 191.26/191.63 Resimplifying inuse:
% 191.26/191.63 Done
% 191.26/191.63
% 191.26/191.63
% 191.26/191.63 Intermediate Status:
% 191.26/191.63 Generated: 528596
% 191.26/191.63 Kept: 172849
% 191.26/191.63 Inuse: 2037
% 191.26/191.63 Deleted: 6580
% 191.26/191.63 Deletedinuse: 41
% 191.26/191.63
% 191.26/191.63 Resimplifying inuse:
% 191.26/191.63 Done
% 191.26/191.63
% 191.26/191.63 Resimplifying inuse:
% 191.26/191.63 Done
% 191.26/191.63
% 191.26/191.63
% 191.26/191.63 Intermediate Status:
% 191.26/191.63 Generated: 533605
% 191.26/191.63 Kept: 174963
% 191.26/191.63 Inuse: 2077
% 191.26/191.63 Deleted: 6580
% 191.26/191.63 Deletedinuse: 41
% 191.26/191.63
% 191.26/191.63 Resimplifying inuse:
% 191.26/191.63 Done
% 191.26/191.63
% 191.26/191.63 Resimplifying inuse:
% 191.26/191.63 Done
% 191.26/191.63
% 191.26/191.63
% 191.26/191.63 Intermediate Status:
% 191.26/191.63 Generated: 538527
% 191.26/191.63 Kept: 177096
% 191.26/191.63 Inuse: 2127
% 191.26/191.63 Deleted: 6580
% 191.26/191.63 Deletedinuse: 41
% 191.26/191.63
% 191.26/191.63 Resimplifying inuse:
% 191.26/191.63 Done
% 191.26/191.63
% 191.26/191.63 Resimplifying inuse:
% 191.26/191.63 Done
% 191.26/191.63
% 191.26/191.63
% 191.26/191.63 Intermediate Status:
% 191.26/191.63 Generated: 543440
% 191.26/191.63 Kept: 179116
% 191.26/191.63 Inuse: 2165
% 191.26/191.63 Deleted: 6580
% 191.26/191.63 Deletedinuse: 41
% 191.26/191.63
% 191.26/191.63 Resimplifying inuse:
% 191.26/191.63 Done
% 191.26/191.63
% 191.26/191.63 Resimplifying inuse:
% 191.26/191.63 Done
% 191.26/191.63
% 191.26/191.63
% 191.26/191.63 Intermediate Status:
% 191.26/191.63 Generated: 548104
% 191.26/191.63 Kept: 181193
% 191.26/191.63 Inuse: 2212
% 191.26/191.63 Deleted: 6580
% 191.26/191.63 Deletedinuse: 41
% 191.26/191.63
% 191.26/191.63 Resimplifying inuCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------