TSTP Solution File: SWW227+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWW227+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 23:21:23 EDT 2022
% Result : Timeout 300.05s 300.46s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SWW227+1 : TPTP v8.1.0. Released v5.2.0.
% 0.08/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sat Jun 4 12:02:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.97/1.56 *** allocated 10000 integers for termspace/termends
% 0.97/1.56 *** allocated 10000 integers for clauses
% 0.97/1.56 *** allocated 10000 integers for justifications
% 0.97/1.56 *** allocated 15000 integers for termspace/termends
% 0.97/1.56 *** allocated 22500 integers for termspace/termends
% 0.97/1.56 *** allocated 33750 integers for termspace/termends
% 0.97/1.56 Bliksem 1.12
% 0.97/1.56
% 0.97/1.56
% 0.97/1.56 Automatic Strategy Selection
% 0.97/1.56
% 0.97/1.56 *** allocated 50625 integers for termspace/termends
% 0.97/1.56 *** allocated 75937 integers for termspace/termends
% 0.97/1.56 *** allocated 113905 integers for termspace/termends
% 0.97/1.56
% 0.97/1.56 Clauses:
% 0.97/1.56
% 0.97/1.56 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.56 c_Int_OBit1( c_Int_OPls ) ) ), c_Groups_Oabs__class_Oabs(
% 0.97/1.56 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.56 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.97/1.56 ( tc_RealDef_Oreal, v_s____ ) ) ) ), c_RealDef_Oreal( tc_Nat_Onat,
% 0.97/1.56 c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____
% 0.97/1.56 ) ) ) ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.56 c_Int_OBit1( c_Int_OPls ) ) ), c_Groups_Oabs__class_Oabs(
% 0.97/1.56 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.56 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.97/1.56 ( tc_RealDef_Oreal, v_s____ ) ) ) ), c_RealDef_Oreal( tc_Nat_Onat,
% 0.97/1.56 v_N2____ ) ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.56 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.97/1.56 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Int_Onumber__class_Onumber__of(
% 0.97/1.56 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.56 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.56 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.97/1.56 ( tc_RealDef_Oreal, v_s____ ) ) ) ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.56 c_Int_OBit1( c_Int_OPls ) ) ), c_Groups_Oabs__class_Oabs(
% 0.97/1.56 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.56 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.97/1.56 ( tc_RealDef_Oreal, v_s____ ) ) ) ), c_RealDef_Oreal( tc_Nat_Onat, skol1
% 0.97/1.56 ) ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.56 c_Int_OBit1( c_Int_OPls ) ) ), c_Groups_Oabs__class_Oabs(
% 0.97/1.56 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.56 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.97/1.56 ( tc_RealDef_Oreal, v_s____ ) ) ) ), c_RealDef_Oreal( tc_Nat_Onat, skol2
% 0.97/1.56 ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.56 c_Int_OBit1( c_Int_OPls ) ) ), c_Groups_Oabs__class_Oabs(
% 0.97/1.56 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.56 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.97/1.56 ( tc_RealDef_Oreal, v_s____ ) ) ) ), c_RealDef_Oreal( tc_Nat_Onat,
% 0.97/1.56 c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____
% 0.97/1.56 ) ) ) ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.56 c_Int_OBit1( c_Int_OPls ) ) ), c_Groups_Oabs__class_Oabs(
% 0.97/1.56 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.56 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.97/1.56 ( tc_RealDef_Oreal, v_s____ ) ) ) ) ), c_Orderings_Oord__class_Oless(
% 0.97/1.56 tc_RealDef_Oreal, c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal,
% 0.97/1.56 c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( c_Groups_Oplus__class_Oplus(
% 0.97/1.56 tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ), c_Rings_Oinverse__class_Oinverse
% 0.97/1.56 ( tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.56 c_Int_OBit1( c_Int_OPls ) ) ), c_Groups_Oabs__class_Oabs(
% 0.97/1.56 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.56 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.97/1.56 ( tc_RealDef_Oreal, v_s____ ) ) ) ) ) ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.97/1.56 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.56 v_N1____, v_N2____ ) ) ) ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.56 c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ) =
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.97/1.56 ) ) ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.56 c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X, Y )
% 0.97/1.56 ) = c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.97/1.56 tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y ) ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Oone__class_Oone( X )
% 0.97/1.56 ) = c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.97/1.56 tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls ) ) ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.97/1.56 ( tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y
% 0.97/1.56 ), c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.56 ), c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless(
% 0.97/1.56 tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls ) ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls )
% 0.97/1.56 ), c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.56 , Y ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.56 ( tc_Complex_Ocomplex, v_p, v_g____( X ) ) ), c_Groups_Oplus__class_Oplus
% 0.97/1.56 ( tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.97/1.56 v_s____ ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.97/1.56 tc_Nat_Onat, c_Nat_OSuc( X ) ) ) ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.97/1.56 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ),
% 0.97/1.56 v_d____ ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.97/1.56 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 0.97/1.56 tc_Complex_Ocomplex, v_p, X ), c_Polynomial_Opoly( tc_Complex_Ocomplex,
% 0.97/1.56 v_p, v_z____ ) ) ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.56 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.97/1.56 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Int_Onumber__class_Onumber__of(
% 0.97/1.56 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), !
% 0.97/1.56 class_RealVector_Oreal__normed__algebra__1( X ),
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.56 Y ) ) = c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, Y ) ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), v_d____ ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.97/1.56 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ) ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.97/1.56 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ),
% 0.97/1.56 v_d____ ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.97/1.56 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 0.97/1.56 tc_Complex_Ocomplex, v_p, X ), c_Polynomial_Opoly( tc_Complex_Ocomplex,
% 0.97/1.56 v_p, v_z____ ) ) ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.56 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.97/1.56 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Int_Onumber__class_Onumber__of(
% 0.97/1.56 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.56 { c_Int_OBit1( X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oone__class_Oone(
% 0.97/1.56 tc_Int_Oint ), X ), X ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__div__algebra( X ), !
% 0.97/1.56 class_Rings_Odivision__ring__inverse__zero( X ),
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, c_Rings_Oinverse__class_Oinverse( X,
% 0.97/1.56 Y ) ) = c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, Y ) ) }.
% 0.97/1.56 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) =
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Y ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), Y = X,
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Y ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.97/1.56 tc_Int_Oint ) ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), Y
% 0.97/1.56 = X }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.97/1.56 tc_Int_Oint ) ) ) }.
% 0.97/1.56 { ! Y = X, c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.97/1.56 tc_Int_Oint ) ) ) }.
% 0.97/1.56 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, c_Groups_Oplus__class_Oplus
% 0.97/1.56 ( tc_Int_Oint, Y, X ) ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, X ) ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, Y ) = c_Groups_Ozero__class_Ozero(
% 0.97/1.56 tc_RealDef_Oreal ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__vector( X ), ! Y =
% 0.97/1.56 c_Groups_Ozero__class_Ozero( X ), c_RealVector_Onorm__class_Onorm( X, Y )
% 0.97/1.56 = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.56 { c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) =
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) }.
% 0.97/1.56 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.97/1.56 tc_Int_Oint, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__div__algebra( X ), Y =
% 0.97/1.56 c_Groups_Ozero__class_Ozero( X ), c_RealVector_Onorm__class_Onorm( X,
% 0.97/1.56 c_Rings_Oinverse__class_Oinverse( X, Y ) ) =
% 0.97/1.56 c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, Y ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.97/1.56 tc_Int_Oint, Y, Z ), c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Z ) ) }
% 0.97/1.56 .
% 0.97/1.56 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Int_OPls ) = X }.
% 0.97/1.56 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OPls, X ) = X }.
% 0.97/1.56 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0(
% 0.97/1.56 X ) ) = c_Int_OBit0( c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }
% 0.97/1.56 .
% 0.97/1.56 { c_Int_OBit0( X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, X ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.97/1.56 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.97/1.56 .
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1
% 0.97/1.56 ( X ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.97/1.56 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.97/1.56 .
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1
% 0.97/1.56 ( X ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OPls ) }
% 0.97/1.56 .
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.97/1.56 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.97/1.56 .
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0
% 0.97/1.56 ( X ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.97/1.56 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.97/1.56 .
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0
% 0.97/1.56 ( X ) ) }.
% 0.97/1.56 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.97/1.56 c_Groups_Oplus__class_Oplus( X, Y, Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.56 , Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.56 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.97/1.56 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.97/1.56 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.56 { c_RealVector_Onorm__class_Onorm( tc_RealDef_Oreal, X ) =
% 0.97/1.56 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__field( X ),
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.97/1.56 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.56 { c_Groups_Oone__class_Oone( tc_Int_Oint ) =
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 0.97/1.56 ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, Y ) ), ! Y =
% 0.97/1.56 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__vector( X ), Y =
% 0.97/1.56 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless(
% 0.97/1.56 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, Y ) ) }.
% 0.97/1.56 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0(
% 0.97/1.56 X ) ) = c_Int_OBit1( c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }
% 0.97/1.56 .
% 0.97/1.56 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1(
% 0.97/1.56 X ) ) = c_Int_OBit1( c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }
% 0.97/1.56 .
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ),
% 0.97/1.56 c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls )
% 0.97/1.56 }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ), c_Int_OPls
% 0.97/1.56 ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.97/1.56 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.97/1.56 .
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0
% 0.97/1.56 ( X ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.97/1.56 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.97/1.56 .
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0
% 0.97/1.56 ( X ) ) }.
% 0.97/1.56 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.56 , c_Groups_Oplus__class_Oplus( X, Y, Y ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.56 ) ), c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X
% 0.97/1.56 ) ) }.
% 0.97/1.56 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.56 , Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.97/1.56 , c_Groups_Oplus__class_Oplus( X, Y, Y ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.56 ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ),
% 0.97/1.56 c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls )
% 0.97/1.56 }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ), c_Int_OPls
% 0.97/1.56 ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit0( X
% 0.97/1.56 ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit0( X )
% 0.97/1.56 ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.56 c_Int_OPls ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, Y ), c_Groups_Ozero__class_Ozero(
% 0.97/1.56 tc_RealDef_Oreal ) ) }.
% 0.97/1.56 { ! class_Int_Onumber( X ), ! class_Rings_Odivision__ring( X ),
% 0.97/1.56 c_Rings_Oinverse__class_Oinverse( X, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.56 , Y ) ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone(
% 0.97/1.56 X ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.56 { ! class_Fields_Ofield( X ), ! class_Int_Onumber__ring( X ),
% 0.97/1.56 c_Rings_Oinverse__class_Oinverse( X, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.56 , c_Int_OBit1( c_Int_OPls ) ) ) = c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.56 c_Int_OBit1( c_Int_OPls ) ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.56 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless(
% 0.97/1.56 tc_Int_Oint, Y, c_Int_OPls ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.56 ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.97/1.56 ( tc_Int_Oint, c_Int_OPls, Y ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, Y ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.56 c_Int_OBit0( Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.56 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber__ring( X )
% 0.97/1.56 , c_Rings_Oinverse__class_Odivide( X, Y, c_Int_Onumber__class_Onumber__of
% 0.97/1.56 ( X, c_Int_OPls ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__field( X ), Y =
% 0.97/1.56 c_Groups_Ozero__class_Ozero( X ), c_RealVector_Onorm__class_Onorm( X,
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.97/1.56 ( X, Y ) ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.56 ), c_Groups_Ozero__class_Ozero( X ) ), c_Groups_Oabs__class_Oabs( X,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.97/1.56 c_Groups_Ouminus__class_Ouminus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.56 Y ) ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.56 ), c_Groups_Ozero__class_Ozero( X ) ), c_Groups_Oabs__class_Oabs( X,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), ! class_Int_Oring__char__0( X ), !
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Y ), Z = Y }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), ! class_Int_Oring__char__0( X ), ! Z = Y
% 0.97/1.56 , c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.97/1.56 { ! class_Int_Onumber( X ), ! c_Int_Onumber__class_Onumber__of( X, Z ) = Y
% 0.97/1.56 , Y = c_Int_Onumber__class_Onumber__of( X, Z ) }.
% 0.97/1.56 { ! class_Int_Onumber( X ), ! Y = c_Int_Onumber__class_Onumber__of( X, Z )
% 0.97/1.56 , c_Int_Onumber__class_Onumber__of( X, Z ) = Y }.
% 0.97/1.56 { ! c_Int_OBit1( Y ) = c_Int_OBit1( X ), Y = X }.
% 0.97/1.56 { ! Y = X, c_Int_OBit1( Y ) = c_Int_OBit1( X ) }.
% 0.97/1.56 { ! c_Int_OBit0( Y ) = c_Int_OBit0( X ), Y = X }.
% 0.97/1.56 { ! Y = X, c_Int_OBit0( Y ) = c_Int_OBit0( X ) }.
% 0.97/1.56 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.56 class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.97/1.56 ) ) ) ) ) }.
% 0.97/1.56 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.56 class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.97/1.56 ) ) ) ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero
% 0.97/1.56 ( X ), Y ) }.
% 0.97/1.56 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.56 class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.97/1.56 ) ) ) ) ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.97/1.56 ), c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, Y ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, Y ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.97/1.56 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Oplus__class_Oplus( X
% 0.97/1.56 , c_Int_Onumber__class_Onumber__of( X, Z ), Y ) ) =
% 0.97/1.56 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_Int_Oint, T, Z ) ), Y ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Z ),
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.97/1.56 tc_Int_Oint, Z, Y ) ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, Y ) ) =
% 0.97/1.56 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X, Z )
% 0.97/1.56 , c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.56 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Z, Y ) ) =
% 0.97/1.56 c_Groups_Ominus__class_Ominus( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.97/1.56 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.56 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) =
% 0.97/1.56 c_Groups_Ouminus__class_Ouminus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.56 Y ) ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, c_Groups_Ouminus__class_Ouminus(
% 0.97/1.56 tc_Int_Oint, Y ) ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__field( X ),
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, T, Z
% 0.97/1.56 ), Y ) = c_Groups_Oplus__class_Oplus( X, c_Rings_Oinverse__class_Odivide
% 0.97/1.56 ( X, T, Y ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__field( X ),
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X, T,
% 0.97/1.56 Z ), Y ) = c_Groups_Ominus__class_Ominus( X,
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( X, T, Y ),
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.56 { ! c_Int_OBit1( X ) = c_Int_OPls }.
% 0.97/1.56 { ! c_Int_OPls = c_Int_OBit1( X ) }.
% 0.97/1.56 { ! c_Int_OBit1( Y ) = c_Int_OBit0( X ) }.
% 0.97/1.56 { ! c_Int_OBit0( Y ) = c_Int_OBit1( X ) }.
% 0.97/1.56 { ! c_Int_OBit0( X ) = c_Int_OPls, X = c_Int_OPls }.
% 0.97/1.56 { ! X = c_Int_OPls, c_Int_OBit0( X ) = c_Int_OPls }.
% 0.97/1.56 { ! c_Int_OPls = c_Int_OBit0( X ), c_Int_OPls = X }.
% 0.97/1.56 { ! c_Int_OPls = X, c_Int_OPls = c_Int_OBit0( X ) }.
% 0.97/1.56 { c_Int_OBit0( c_Int_OPls ) = c_Int_OPls }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X, Z,
% 0.97/1.56 Y ) ) = c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus
% 0.97/1.56 ( X, Y, Z ) ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__field( X ),
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X, Z
% 0.97/1.56 ), Y ) = c_Groups_Ouminus__class_Ouminus( X,
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ouminus__class_Ouminus( X, Y
% 0.97/1.56 ) ) = c_RealVector_Onorm__class_Onorm( X, Y ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__vector( X ), c_Groups_Oabs__class_Oabs
% 0.97/1.56 ( tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( X, Y ) ) =
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, Y ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Ominus__class_Ominus(
% 0.97/1.56 X, c_Int_Onumber__class_Onumber__of( X, Z ), Y ) ) =
% 0.97/1.56 c_Groups_Ominus__class_Ominus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_Int_Oint, T, Z ) ), Y ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ), Y ) = Y }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X, Y,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ) ) = Y }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, Z ), Y ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, U ), T ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, c_Groups_Oplus__class_Oplus( X, Z, U
% 0.97/1.56 ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, T ) ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__algebra__1( X ),
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, c_Groups_Oone__class_Oone( X ) ) =
% 0.97/1.56 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.97/1.56 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.97/1.56 class_RealVector_Oreal__normed__field( X ),
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.97/1.56 , Y ) ) = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.97/1.56 ( X, Y ) ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.56 c_Int_OBit1( Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.56 c_Int_OBit1( c_Int_OPls ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.56 { ! class_Fields_Ofield( X ), ! class_Int_Onumber__ring( X ),
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.97/1.56 X, c_Int_OBit1( c_Int_OPls ) ) ) = Y }.
% 0.97/1.56 { ! class_Fields_Ofield( X ), ! class_Int_Onumber__ring( X ),
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.97/1.56 X, c_Int_OBit1( c_Int_OPls ) ) ) = Y }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol3 ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.97/1.56 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ) ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.97/1.56 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ), skol3
% 0.97/1.56 ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.97/1.56 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 0.97/1.56 tc_Complex_Ocomplex, v_p, X ), c_Polynomial_Opoly( tc_Complex_Ocomplex,
% 0.97/1.56 v_p, v_z____ ) ) ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.56 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.97/1.56 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Int_Onumber__class_Onumber__of(
% 0.97/1.56 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.97/1.56 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 0.97/1.56 tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ),
% 0.97/1.56 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, v_z____ ) ) ),
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.56 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.97/1.56 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Int_Onumber__class_Onumber__of(
% 0.97/1.56 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.56 ( tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ),
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.97/1.56 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.56 v_N1____, v_N2____ ) ) ) ) ) ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.56 ( tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ),
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.97/1.56 tc_Nat_Onat, c_Nat_OSuc( hAPP( v_f____, c_Groups_Oplus__class_Oplus(
% 0.97/1.56 tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ) ) ) }.
% 0.97/1.56 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.56 class_Int_Onumber__ring( X ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.97/1.56 c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.56 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.97/1.56 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.56 c_Int_OBit1( c_Int_OPls ) ) ) ), X ) = c_Rings_Oinverse__class_Odivide(
% 0.97/1.56 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X )
% 0.97/1.56 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.56 c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.97/1.56 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.56 c_Int_OBit1( c_Int_OPls ) ) ) ), Y ) = c_Rings_Oinverse__class_Odivide(
% 0.97/1.56 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y )
% 0.97/1.56 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.56 c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.56 c_Int_OBit1( c_Int_OPls ) ) ) ), X ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y,
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.56 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.56 ( tc_Complex_Ocomplex, v_p, v_g____( X ) ) ) ) }.
% 0.97/1.56 { c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.56 c_Int_OBit1( c_Int_OPls ) ) ) ), c_Rings_Oinverse__class_Odivide(
% 0.97/1.56 tc_RealDef_Oreal, X, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 0.97/1.56 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) = X }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oone__class_Oone
% 0.97/1.56 ( tc_RealDef_Oreal ), c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) )
% 0.97/1.56 ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_Groups_Oone__class_Oone
% 0.97/1.56 ( tc_RealDef_Oreal ) ) }.
% 0.97/1.56 { c_SEQ_Osubseq( v_f____ ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.56 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, Z ) ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y ) ), Z ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), v_r ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.97/1.56 tc_Nat_Onat, c_Nat_OSuc( hAPP( v_f____, c_Groups_Oplus__class_Oplus(
% 0.97/1.56 tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ),
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.97/1.56 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.56 v_N1____, v_N2____ ) ) ) ) ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.97/1.56 tc_Nat_Onat, X ) ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.97/1.56 tc_Nat_Onat, c_Nat_OSuc( hAPP( v_f____, c_Groups_Oplus__class_Oplus(
% 0.97/1.56 tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ) ), c_Groups_Oplus__class_Oplus
% 0.97/1.56 ( tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.97/1.56 v_s____ ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.97/1.56 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.56 v_N1____, v_N2____ ) ) ) ) ) ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.56 ( tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ) )
% 0.97/1.56 }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, v_g____( X ) ), v_r
% 0.97/1.56 ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, v_N1____, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.97/1.56 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, v_g____( hAPP(
% 0.97/1.56 v_f____, X ) ), v_z____ ) ), v_d____ ) }.
% 0.97/1.56 { ! c_Groups_Ozero__class_Ozero( tc_Int_Oint ) = c_Groups_Oone__class_Oone
% 0.97/1.56 ( tc_Int_Oint ) }.
% 0.97/1.56 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.97/1.56 ( tc_Int_Oint ) ) = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.97/1.56 { c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) = X }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), c_Groups_Oabs__class_Oabs(
% 0.97/1.56 tc_Int_Oint, X ) = c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), c_Groups_Oabs__class_Oabs(
% 0.97/1.56 tc_Int_Oint, X ) = X }.
% 0.97/1.56 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint,
% 0.97/1.56 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) = X }.
% 0.97/1.56 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) =
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.97/1.56 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Y ), Y = X }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Z ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, Z ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Y ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, X ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.56 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z, Y ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z, Y ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.56 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.56 { c_Groups_Ominus__class_Ominus( tc_Int_Oint,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) =
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 0.97/1.56 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) ) }.
% 0.97/1.56 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 0.97/1.56 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) =
% 0.97/1.56 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ) }.
% 0.97/1.56 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ) =
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 0.97/1.56 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oabs__class_Oabs(
% 0.97/1.56 tc_Int_Oint, X ), c_Groups_Oone__class_Oone( tc_Int_Oint ) ), X =
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.97/1.56 { ! X = c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oabs__class_Oabs(
% 0.97/1.56 tc_Int_Oint, X ), c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ominus__class_Ominus
% 0.97/1.56 ( tc_Int_Oint, Y, X ), c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.97/1.56 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ),
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.97/1.56 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Ouminus__class_Ouminus
% 0.97/1.56 ( tc_Int_Oint, X ), X ) = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), ! Y = X }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), Y = X,
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), Y = X }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.97/1.56 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, Y ),
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, X ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.97/1.56 tc_Nat_Onat, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), X =
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.56 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.97/1.56 tc_Nat_Onat, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.97/1.56 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, X, c_Int_OPls ) = X }.
% 0.97/1.56 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0
% 0.97/1.56 ( X ) ) = c_Int_OBit0( c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X )
% 0.97/1.56 ) }.
% 0.97/1.56 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OPls ) = c_Int_OPls }
% 0.97/1.56 .
% 0.97/1.56 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OBit0( X ) ) =
% 0.97/1.56 c_Int_OBit0( c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) }.
% 0.97/1.56 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Groups_Oplus__class_Oplus
% 0.97/1.56 ( tc_Int_Oint, Y, X ) ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.97/1.56 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ),
% 0.97/1.56 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) }.
% 0.97/1.56 { c_Int_OPls = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.97/1.56 { c_Groups_Ozero__class_Ozero( tc_Int_Oint ) =
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OPls ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.97/1.56 tc_Int_Oint ), c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 0.97/1.56 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Ozero__class_Ozero
% 0.97/1.56 ( tc_Int_Oint ) ) = X }.
% 0.97/1.56 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.97/1.56 tc_Int_Oint ), X ) = X }.
% 0.97/1.56 { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.97/1.56 tc_Int_Oint, c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ) =
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ), alpha1( X, Y
% 0.97/1.56 ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ), alpha35( X,
% 0.97/1.56 Y ) }.
% 0.97/1.56 { ! alpha1( X, Y ), ! alpha35( X, Y ), c_Orderings_Oord__class_Oless__eq(
% 0.97/1.56 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ) }.
% 0.97/1.56 { ! alpha35( X, Y ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), alpha35( X, Y ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), alpha35( X, Y ) }.
% 0.97/1.56 { ! alpha1( X, Y ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y
% 0.97/1.56 , c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), alpha1( X, Y ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), alpha1( X, Y ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ),
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ),
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, Y ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, Y ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.56 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.56 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.56 { ! c_RealDef_Oreal( tc_Nat_Onat, X ) = c_Groups_Ozero__class_Ozero(
% 0.97/1.56 tc_RealDef_Oreal ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.56 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_RealDef_Oreal(
% 0.97/1.56 tc_Nat_Onat, X ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.56 { c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.97/1.56 ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ), X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ), Y ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ), X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ), Y ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ), X ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 0.97/1.56 , Y ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 0.97/1.56 , Y ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X
% 0.97/1.56 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.56 , Y ), c_Groups_Oone__class_Oone( X ) ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OBit1(
% 0.97/1.56 c_Int_OPls ) ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OBit1(
% 0.97/1.56 c_Int_OPls ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Oone__class_Oone( X )
% 0.97/1.56 ) }.
% 0.97/1.56 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0
% 0.97/1.56 ( X ) ) = c_Int_OBit1( c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X )
% 0.97/1.56 ) }.
% 0.97/1.56 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1
% 0.97/1.56 ( X ) ) = c_Int_OBit0( c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X )
% 0.97/1.56 ) }.
% 0.97/1.56 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OPls, c_Int_OBit0( X )
% 0.97/1.56 ) = c_Int_OBit0( c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OPls
% 0.97/1.56 , X ) ) }.
% 0.97/1.56 { ! class_Int_Onumber( X ), ! class_Orderings_Olinorder( X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.56 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.56 ), c_Int_Onumber__class_Onumber__of( X, Z ) ) }.
% 0.97/1.56 { ! class_Int_Onumber( X ), ! class_Orderings_Olinorder( X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.56 ), c_Int_Onumber__class_Onumber__of( X, Z ) ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.56 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, Y ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.97/1.56 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.97/1.56 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), X ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.97/1.56 tc_Nat_Onat, Y ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.97/1.56 c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.97/1.56 tc_Nat_Onat, Y ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.97/1.56 c_RealDef_Oreal( tc_Nat_Onat, X ) ), c_Orderings_Oord__class_Oless(
% 0.97/1.56 tc_Nat_Onat, Y, X ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.97/1.56 tc_Nat_Onat, X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.56 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.97/1.56 tc_Nat_Onat, X ) ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus
% 0.97/1.56 ( tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, T, Z )
% 0.97/1.56 , c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ),
% 0.97/1.56 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) ) ),
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs
% 0.97/1.56 ( tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, T,
% 0.97/1.56 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ) ),
% 0.97/1.56 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus
% 0.97/1.56 ( tc_RealDef_Oreal, Z, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal
% 0.97/1.56 , X ) ) ) ) ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ),
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, Y, X ) ),
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ) ) }.
% 0.97/1.56 { c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.97/1.56 tc_Nat_Onat ) ) ) = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ),
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ),
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ),
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ),
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus
% 0.97/1.56 ( tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.97/1.56 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ),
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.97/1.56 tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.97/1.56 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ),
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), c_Groups_Ominus__class_Ominus( X,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Z ),
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.97/1.56 tc_Int_Oint, Z, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, Y ), c_Groups_Ozero__class_Ozero(
% 0.97/1.56 tc_RealDef_Oreal ) ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__vector( X ), ! Y =
% 0.97/1.56 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless__eq(
% 0.97/1.56 tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( X, Y ),
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.97/1.56 ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.97/1.56 ( X, Y ) ) ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X, Z,
% 0.97/1.56 Y ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.97/1.56 ( X, Y ) ) ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.97/1.56 ( X, Y ) ), c_RealVector_Onorm__class_Onorm( X,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( X, Z, Y ) ) ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.97/1.56 ( X, Y ) ), c_RealVector_Onorm__class_Onorm( X,
% 0.97/1.56 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) ) }.
% 0.97/1.56 { ! c_RealDef_Oreal( tc_Nat_Onat, Y ) = c_RealDef_Oreal( tc_Nat_Onat, X ),
% 0.97/1.56 Y = X }.
% 0.97/1.56 { ! Y = X, c_RealDef_Oreal( tc_Nat_Onat, Y ) = c_RealDef_Oreal( tc_Nat_Onat
% 0.97/1.56 , X ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Ominus__class_Ominus(
% 0.97/1.56 X, Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) =
% 0.97/1.56 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_Int_Oint, T,
% 0.97/1.56 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) ), Z ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.97/1.56 , Y ) ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X, U,
% 0.97/1.56 Z ) ), c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus
% 0.97/1.56 ( X, T, Y ) ) ) ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.97/1.56 ( X, Y ) ) ), c_RealVector_Onorm__class_Onorm( X,
% 0.97/1.56 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), c_Groups_Ominus__class_Ominus( X,
% 0.97/1.56 c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X, Y )
% 0.97/1.56 ) = c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.97/1.56 tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), c_Groups_Ouminus__class_Ouminus(
% 0.97/1.56 tc_Int_Oint, Y ) ) ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), c_Groups_Ominus__class_Ominus( X,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Oone__class_Oone( X )
% 0.97/1.56 ) = c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.97/1.56 tc_Int_Oint, Y, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OBit1
% 0.97/1.56 ( c_Int_OPls ) ) ) ) }.
% 0.97/1.56 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.97/1.56 , Y ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Ominus__class_Ominus(
% 0.97/1.56 X, U, Z ), c_Groups_Ominus__class_Ominus( X, T, Y ) ) }.
% 0.97/1.56 { ! c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) =
% 0.97/1.56 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.97/1.56 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.97/1.56 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.97/1.56 { c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Oone__class_Oone( tc_Nat_Onat ) )
% 0.97/1.56 = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.97/1.56 { c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) =
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.56 { c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, c_RealDef_Oreal( tc_Nat_Onat
% 0.97/1.56 , X ) ) = c_RealDef_Oreal( tc_Nat_Onat, X ) }.
% 0.97/1.56 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Oplus__class_Oplus( X, Z, Y )
% 0.97/1.56 = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ouminus__class_Ouminus
% 0.97/1.56 ( X, Z ) }.
% 0.97/1.56 { ! class_Groups_Ogroup__add( X ), ! Y = c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.56 , Z ), c_Groups_Oplus__class_Oplus( X, Z, Y ) =
% 0.97/1.56 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.97/1.56 tc_Nat_Onat, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.97/1.56 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y,
% 0.97/1.56 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) =
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y = X }.
% 0.97/1.56 { ! Y = X, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y,
% 0.97/1.56 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) =
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.56 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) =
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X =
% 0.97/1.56 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) }.
% 0.97/1.56 { ! X = c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ),
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) =
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.56 { c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y
% 0.97/1.56 , X ) ) = c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal
% 0.97/1.56 ( tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.97/1.56 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ) =
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y,
% 0.97/1.56 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) }.
% 0.97/1.56 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ) =
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y,
% 0.97/1.56 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) }.
% 0.97/1.56 { c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus
% 0.97/1.56 ( tc_RealDef_Oreal, Y, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal
% 0.97/1.56 , X ) ) ) = c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X,
% 0.97/1.56 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ) ) }.
% 0.97/1.56 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.56 , c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, T, Z )
% 0.97/1.56 ), Y ), c_Orderings_Oord__class_Oless( X, c_Groups_Ominus__class_Ominus
% 0.97/1.56 ( X, Z, Y ), T ) }.
% 0.97/1.56 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.56 , c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, T, Z )
% 0.97/1.56 ), Y ), c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus
% 0.97/1.56 ( X, Z, Y ) ) }.
% 0.97/1.56 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.56 , c_Groups_Ominus__class_Ominus( X, Z, Y ), T ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.97/1.56 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oabs__class_Oabs( X,
% 0.97/1.56 c_Groups_Ominus__class_Ominus( X, T, Z ) ), Y ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.97/1.56 tc_Nat_Onat, c_Nat_OSuc( X ) ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), X ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.97/1.56 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.97/1.56 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.97/1.56 { c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( X ) ) =
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.97/1.56 tc_Nat_Onat, X ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.97/1.56 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) =
% 0.97/1.56 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.97/1.56 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) = X }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.97/1.56 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) =
% 0.97/1.56 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.97/1.56 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) = X }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs
% 0.97/1.56 ( tc_RealDef_Oreal, X ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) )
% 0.97/1.56 , X ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, T, Z ) ), X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.97/1.56 c_Int_OBit1( c_Int_OPls ) ) ), X ), c_Groups_Oplus__class_Oplus(
% 0.97/1.56 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, T, Z ) ), Y ) ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__div__algebra( X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, Y ) ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Z ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, c_Rings_Oinverse__class_Oinverse( X,
% 0.97/1.56 Y ) ), c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, Z ) ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Z ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol4( X, Y, Z ) ) ), Z ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, T ) ), c_RealDef_Oreal(
% 0.97/1.56 tc_Nat_Onat, c_Nat_OSuc( skol29( X, Y ) ) ) ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol32( X, Y, Z ) ) ),
% 0.97/1.56 c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( Z ) ) ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol34( T, U ) ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol32( X, Y, Z ) ) ),
% 0.97/1.56 c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( Z ) ) ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, T ) ), skol34( X, Y ) ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Z ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol5( X, Y, Z ) ) ), Z ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, T ) ), c_RealDef_Oreal(
% 0.97/1.56 tc_Nat_Onat, c_Nat_OSuc( skol30( X, Y ) ) ) ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol33( X, Y, Z ) ) ),
% 0.97/1.56 c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( Z ) ) ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol35( T, U ) ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol33( X, Y, Z ) ) ),
% 0.97/1.56 c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( Z ) ) ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, T ) ), skol35( X, Y ) ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, v_w____ ), v_r ) }
% 0.97/1.56 .
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ), v_r ), !
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.56 ( tc_Complex_Ocomplex, v_p, X ) ) = c_Groups_Ouminus__class_Ouminus(
% 0.97/1.56 tc_RealDef_Oreal, Y ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y
% 0.97/1.56 , c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ), hAPP(
% 0.97/1.56 v_f____, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) )
% 0.97/1.56 ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ), v_r ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.56 ( tc_Complex_Ocomplex, v_p, X ) ) ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol6 ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.97/1.56 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ) ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.97/1.56 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ), skol6
% 0.97/1.56 ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.97/1.56 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 0.97/1.56 tc_Complex_Ocomplex, v_p, X ), c_Polynomial_Opoly( tc_Complex_Ocomplex,
% 0.97/1.56 v_p, v_z____ ) ) ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.56 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.97/1.56 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Int_Onumber__class_Onumber__of(
% 0.97/1.56 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_Complex_Ocomplex ) ), v_r ) }.
% 0.97/1.56 { c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.56 ( tc_Complex_Ocomplex, v_p, c_Groups_Ozero__class_Ozero(
% 0.97/1.56 tc_Complex_Ocomplex ) ) ) = c_Groups_Ouminus__class_Ouminus(
% 0.97/1.56 tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.56 ( tc_Complex_Ocomplex, v_p, c_Groups_Ozero__class_Ozero(
% 0.97/1.56 tc_Complex_Ocomplex ) ) ) ) ) }.
% 0.97/1.56 { ! alpha2( Y ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, Y )
% 0.97/1.56 , c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, v_s____ ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, v_s____ ), alpha2(
% 0.97/1.56 skol7( Y ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, v_s____ ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, skol7( X ) ) }.
% 0.97/1.56 { ! alpha2( X ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol8( Y ) ), v_r )
% 0.97/1.56 }.
% 0.97/1.56 { ! alpha2( X ), c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.97/1.56 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, skol8( X ) ) ) =
% 0.97/1.56 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ), v_r ), !
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.97/1.56 ( tc_Complex_Ocomplex, v_p, Y ) ) = c_Groups_Ouminus__class_Ouminus(
% 0.97/1.56 tc_RealDef_Oreal, X ), alpha2( X ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, skol9( X ), Y ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.97/1.56 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, v_g____( hAPP(
% 0.97/1.56 v_f____, Y ) ), v_z____ ) ), X ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, X ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Y ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Z ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, Z ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Y ), Y = X }.
% 0.97/1.56 { ! c_SEQ_Osubseq( X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.97/1.56 hAPP( X, Y ) ) }.
% 0.97/1.56 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, Y ), X ) =
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z,
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.97/1.56 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) =
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Otimes__class_Otimes(
% 0.97/1.56 X, c_Int_Onumber__class_Onumber__of( X, Z ), Y ) ) =
% 0.97/1.56 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_Int_Oint, T, Z ) ), Y ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Z ),
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, c_Groups_Otimes__class_Otimes(
% 0.97/1.56 tc_Int_Oint, Z, Y ) ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ) ) =
% 0.97/1.56 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.97/1.56 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__div__algebra( X ),
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.97/1.56 Y ) ) = c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.97/1.56 ( X, Y ) ) }.
% 0.97/1.56 { ! c_SEQ_Osubseq( X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z
% 0.97/1.56 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X, Y ), hAPP( X, Z
% 0.97/1.56 ) ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, skol10( X ), skol31( X ) ),
% 0.97/1.56 c_SEQ_Osubseq( X ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X, skol10( X ) ),
% 0.97/1.56 hAPP( X, skol31( X ) ) ), c_SEQ_Osubseq( X ) }.
% 0.97/1.56 { ! c_SEQ_Osubseq( X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X
% 0.97/1.56 , Y ), hAPP( X, c_Nat_OSuc( Y ) ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X, skol11( X ) ),
% 0.97/1.56 hAPP( X, c_Nat_OSuc( skol11( X ) ) ) ), c_SEQ_Osubseq( X ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.97/1.56 Y ) ), c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.97/1.56 ( X, Y ) ) ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__algebra( X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, Z ), Y ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, U ), T ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.97/1.56 U ) ), c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, T ) ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.56 c_Groups_Otimes__class_Otimes( X, c_Groups_Ozero__class_Ozero( X ), Y ) =
% 0.97/1.56 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.56 c_Groups_Otimes__class_Otimes( X, c_Groups_Ozero__class_Ozero( X ), Y ) =
% 0.97/1.56 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.56 c_Groups_Otimes__class_Otimes( X, Y, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.97/1.56 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.56 c_Groups_Otimes__class_Otimes( X, Y, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.97/1.56 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.56 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.97/1.56 , Y ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.97/1.56 , T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.56 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.97/1.56 , Y ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.97/1.56 , T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.56 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.97/1.56 ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.56 T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.56 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.97/1.56 ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.56 T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.56 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, T, Z
% 0.97/1.56 ), Y ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.97/1.56 ( X, T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.56 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, T, Z
% 0.97/1.56 ), Y ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.97/1.56 ( X, T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.56 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Ominus__class_Ominus( X, Z
% 0.97/1.56 , Y ) ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.97/1.56 ( X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.56 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Ominus__class_Ominus( X, Z
% 0.97/1.56 , Y ) ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.97/1.56 ( X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.56 c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.97/1.56 , Y ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes
% 0.97/1.56 ( X, Z, Y ) ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.56 c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.97/1.56 , Y ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes
% 0.97/1.56 ( X, Z, Y ) ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.56 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.97/1.56 Y ) ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes
% 0.97/1.56 ( X, Z, Y ) ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.56 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.97/1.56 Y ) ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes
% 0.97/1.56 ( X, Z, Y ) ) }.
% 0.97/1.56 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ) =
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ), Z = Y }.
% 0.97/1.56 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! Z = Y,
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ) =
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) }.
% 0.97/1.56 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ) =
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ), Z = Y }.
% 0.97/1.56 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! Z = Y,
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ) =
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.97/1.56 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.97/1.56 ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.97/1.56 c_Int_OBit1( X ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.97/1.56 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.97/1.56 ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.97/1.56 c_Int_OBit1( X ) ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OPls )
% 0.97/1.56 }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.97/1.56 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.97/1.56 ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.97/1.56 c_Int_OBit0( X ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.97/1.56 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.97/1.56 ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.97/1.56 c_Int_OBit0( X ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), X =
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol12( X, Y ) ) }.
% 0.97/1.56 { ! X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), ! Y = X }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), Y = X,
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, Y ),
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, X ) ) }.
% 0.97/1.56 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) = X }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) }.
% 0.97/1.56 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, Y ), X ) =
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.97/1.56 { ! class_Int_Onumber( X ), ! class_Rings_Osemiring( X ),
% 0.97/1.56 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.97/1.56 , c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.97/1.56 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Groups_Otimes__class_Otimes
% 0.97/1.56 ( X, Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.97/1.56 { ! class_Int_Onumber( X ), ! class_Rings_Osemiring( X ),
% 0.97/1.56 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.97/1.56 ), c_Groups_Oplus__class_Oplus( X, Z, Y ) ) =
% 0.97/1.56 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, T ), Z ),
% 0.97/1.56 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.97/1.56 ), Y ) ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.97/1.56 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, U, T
% 0.97/1.56 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.97/1.56 c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X,
% 0.97/1.56 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, U, Z
% 0.97/1.56 ), c_Groups_Ominus__class_Ominus( X, T, Y ) ),
% 0.97/1.56 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, U, Z
% 0.97/1.56 ), Y ) ), c_Groups_Otimes__class_Otimes( X, Z,
% 0.97/1.56 c_Groups_Ominus__class_Ominus( X, T, Y ) ) ) }.
% 0.97/1.56 { ! class_Rings_Oring( X ), c_Groups_Ominus__class_Ominus( X,
% 0.97/1.56 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.97/1.56 X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.97/1.56 c_Groups_Otimes__class_Otimes( X, U, c_Groups_Ominus__class_Ominus( X, T
% 0.97/1.56 , Y ) ), c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus
% 0.97/1.56 ( X, U, Z ), Y ) ) }.
% 0.97/1.56 { ! class_Int_Onumber( X ), ! class_Rings_Oring( X ),
% 0.97/1.56 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, T, Z
% 0.97/1.56 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.97/1.56 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Groups_Otimes__class_Otimes
% 0.97/1.56 ( X, Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.97/1.56 { ! class_Int_Onumber( X ), ! class_Rings_Oring( X ),
% 0.97/1.56 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.97/1.56 ), c_Groups_Ominus__class_Ominus( X, Z, Y ) ) =
% 0.97/1.56 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, T ), Z ),
% 0.97/1.56 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.97/1.56 ), Y ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ),
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit1
% 0.97/1.56 ( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X )
% 0.97/1.56 }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit1(
% 0.97/1.56 X ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.97/1.56 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.97/1.56 ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.97/1.56 c_Int_OBit1( X ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.97/1.56 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.97/1.56 ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.97/1.56 c_Int_OBit1( X ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( X ),
% 0.97/1.56 c_Int_OPls ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X,
% 0.97/1.56 c_Int_OPls ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( X ),
% 0.97/1.56 c_Int_OPls ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit0
% 0.97/1.56 ( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X )
% 0.97/1.56 }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit0(
% 0.97/1.56 X ) ) }.
% 0.97/1.56 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y =
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.56 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X =
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.56 { ! Y = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! X =
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.97/1.56 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.97/1.56 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ) ),
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.56 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.97/1.56 tc_Int_Oint ), X ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.97/1.56 ( tc_Int_Oint ), X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.56 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, T, Z ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.97/1.56 tc_Int_Oint, Y, T ), c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Z ) ) }
% 0.97/1.56 .
% 0.97/1.56 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, Y ),
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ), hAPP( Z, Y
% 0.97/1.56 ) ), c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y ) ), Y ) ) =
% 0.97/1.56 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ),
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ), hAPP( Z, Y
% 0.97/1.56 ) ), c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y ) ), X ) ) }
% 0.97/1.56 .
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), c_RealDef_Oreal
% 0.97/1.56 ( tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 0.97/1.56 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.97/1.56 tc_Nat_Onat, X ), c_RealDef_Oreal( tc_Nat_Onat, Y ) ) }.
% 0.97/1.56 { c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) =
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y,
% 0.97/1.56 c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, X ) ) }.
% 0.97/1.56 { c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) =
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y,
% 0.97/1.56 c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, X ) ) }.
% 0.97/1.56 { ! class_Rings_Oring__1( X ), c_Groups_Ominus__class_Ominus( X,
% 0.97/1.56 c_Groups_Otimes__class_Otimes( X, Y, Y ), c_Groups_Oone__class_Oone( X )
% 0.97/1.56 ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.97/1.56 , c_Groups_Oone__class_Oone( X ) ), c_Groups_Ominus__class_Ominus( X, Y,
% 0.97/1.56 c_Groups_Oone__class_Oone( X ) ) ) }.
% 0.97/1.56 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.97/1.56 X, Z ) ) = Y, alpha36( X, Y, Z, T ) }.
% 0.97/1.56 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.97/1.56 X, Z ) ) = Y, alpha3( X, Y, Z ) }.
% 0.97/1.56 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.97/1.56 alpha36( X, Y, Z, T ), ! alpha3( X, Y, Z ),
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.97/1.56 X, Z ) ) = Y }.
% 0.97/1.56 { ! alpha36( X, Y, Z, T ), c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.97/1.56 c_Groups_Ozero__class_Ozero( X ), T = c_Groups_Otimes__class_Otimes( X, Y
% 0.97/1.56 , c_Int_Onumber__class_Onumber__of( X, Z ) ) }.
% 0.97/1.56 { ! c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero
% 0.97/1.56 ( X ), alpha36( X, Y, Z, T ) }.
% 0.97/1.56 { ! T = c_Groups_Otimes__class_Otimes( X, Y,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha36( X, Y, Z, T ) }.
% 0.97/1.56 { ! alpha3( X, Y, Z ), ! c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.97/1.56 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.97/1.56 .
% 0.97/1.56 { c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero( X
% 0.97/1.56 ), alpha3( X, Y, Z ) }.
% 0.97/1.56 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha3( X, Y, Z ) }.
% 0.97/1.56 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( X, T, Z ) =
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Y ), alpha37( X, Y, Z, T ) }.
% 0.97/1.56 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( X, T, Z ) =
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Y ), alpha4( X, Y, Z ) }.
% 0.97/1.56 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.97/1.56 alpha37( X, Y, Z, T ), ! alpha4( X, Y, Z ),
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( X, T, Z ) =
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.97/1.56 { ! alpha37( X, Y, Z, T ), Z = c_Groups_Ozero__class_Ozero( X ), T =
% 0.97/1.56 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.56 ), Z ) }.
% 0.97/1.56 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha37( X, Y, Z, T ) }.
% 0.97/1.56 { ! T = c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of
% 0.97/1.56 ( X, Y ), Z ), alpha37( X, Y, Z, T ) }.
% 0.97/1.56 { ! alpha4( X, Y, Z ), ! Z = c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.97/1.56 ) }.
% 0.97/1.56 { Z = c_Groups_Ozero__class_Ozero( X ), alpha4( X, Y, Z ) }.
% 0.97/1.56 { ! c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero
% 0.97/1.56 ( X ), alpha4( X, Y, Z ) }.
% 0.97/1.56 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, T ) =
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha38( X, Y, Z, T ) }.
% 0.97/1.56 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, T ) =
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha5( X, Y, T ) }.
% 0.97/1.56 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.97/1.56 alpha38( X, Y, Z, T ), ! alpha5( X, Y, T ),
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, T ) =
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.97/1.56 { ! alpha38( X, Y, Z, T ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.56 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.97/1.56 ), Y ) = Z }.
% 0.97/1.56 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha38( X, Y, Z, T ) }.
% 0.97/1.56 { ! c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.56 T ), Y ) = Z, alpha38( X, Y, Z, T ) }.
% 0.97/1.56 { ! alpha5( X, Y, Z ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero( X
% 0.97/1.56 ) }.
% 0.97/1.56 { Y = c_Groups_Ozero__class_Ozero( X ), alpha5( X, Y, Z ) }.
% 0.97/1.56 { ! c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero
% 0.97/1.56 ( X ), alpha5( X, Y, Z ) }.
% 0.97/1.56 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), ! T
% 0.97/1.56 = c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of
% 0.97/1.56 ( X, Y ) ), alpha39( X, Y, Z, T ) }.
% 0.97/1.56 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), ! T
% 0.97/1.56 = c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of
% 0.97/1.56 ( X, Y ) ), alpha6( X, Y, T ) }.
% 0.97/1.56 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.97/1.56 alpha39( X, Y, Z, T ), ! alpha6( X, Y, T ), T =
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.97/1.56 X, Y ) ) }.
% 0.97/1.56 { ! alpha39( X, Y, Z, T ), c_Int_Onumber__class_Onumber__of( X, Y ) =
% 0.97/1.56 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, T,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Y ) ) = Z }.
% 0.97/1.56 { ! c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero
% 0.97/1.56 ( X ), alpha39( X, Y, Z, T ) }.
% 0.97/1.56 { ! c_Groups_Otimes__class_Otimes( X, T, c_Int_Onumber__class_Onumber__of(
% 0.97/1.56 X, Y ) ) = Z, alpha39( X, Y, Z, T ) }.
% 0.97/1.56 { ! alpha6( X, Y, Z ), ! c_Int_Onumber__class_Onumber__of( X, Y ) =
% 0.97/1.56 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.97/1.56 .
% 0.97/1.56 { c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.97/1.56 ), alpha6( X, Y, Z ) }.
% 0.97/1.56 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha6( X, Y, Z ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__field( X ), c_Rings_Oinverse__class_Odivide( X
% 0.97/1.56 , c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, W,
% 0.97/1.56 U ), c_Groups_Otimes__class_Otimes( X, T, Z ) ), Y ) =
% 0.97/1.56 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W,
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X, U,
% 0.97/1.56 Z ), Y ) ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X, W,
% 0.97/1.56 T ), Y ), Z ) ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ), Y ) = Y
% 0.97/1.56 }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ) ) = Y }
% 0.97/1.56 .
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ),
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ),
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.56 c_Groups_Ouminus__class_Ouminus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.56 Z ) ), Y ) = c_Groups_Otimes__class_Otimes( X,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, c_Groups_Ouminus__class_Ouminus(
% 0.97/1.56 tc_Int_Oint, Z ) ), Y ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( X ),
% 0.97/1.56 c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls )
% 0.97/1.56 }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( X ),
% 0.97/1.56 c_Int_OPls ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit1( X
% 0.97/1.56 ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit1( X )
% 0.97/1.56 ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.97/1.56 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.97/1.56 .
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.97/1.56 c_Int_OBit0( X ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.97/1.56 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.97/1.56 .
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.97/1.56 c_Int_OBit0( X ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.97/1.56 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.97/1.56 ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1
% 0.97/1.56 ( X ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.97/1.56 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.97/1.56 ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1
% 0.97/1.56 ( X ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ),
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X,
% 0.97/1.56 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Z ) ) ), Y =
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.97/1.56 tc_Int_Oint ) ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X )
% 0.97/1.56 }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.97/1.56 tc_Int_Oint ) ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.97/1.56 tc_Int_Oint ) ), X ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X )
% 0.97/1.56 }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.97/1.56 tc_Int_Oint ) ), X ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.97/1.56 tc_Int_Oint ) ), X ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.97/1.56 tc_Int_Oint ), c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.97/1.56 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.97/1.56 c_Groups_Ominus__class_Ominus( tc_Int_Oint, X, c_Groups_Oone__class_Oone
% 0.97/1.56 ( tc_Int_Oint ) ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.97/1.56 .
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.97/1.56 c_Groups_Ominus__class_Ominus( tc_Int_Oint, X, c_Groups_Oone__class_Oone
% 0.97/1.56 ( tc_Int_Oint ) ) ) }.
% 0.97/1.56 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.97/1.56 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.56 c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, X ), X ) =
% 0.97/1.56 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.97/1.56 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.56 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.97/1.56 X, Z ) ), Y ), alpha40( X, Y, Z, T ) }.
% 0.97/1.56 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.56 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.97/1.56 X, Z ) ), Y ), alpha66( X, Y, Z, T ) }.
% 0.97/1.56 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.56 class_Int_Onumber( X ), ! alpha40( X, Y, Z, T ), ! alpha66( X, Y, Z, T )
% 0.97/1.56 , c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T
% 0.97/1.56 , c_Int_Onumber__class_Onumber__of( X, Z ) ), Y ) }.
% 0.97/1.56 { ! alpha66( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 0.97/1.56 ) ), alpha78( X, Y, Z, T ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha66( X, Y, Z, T ) }.
% 0.97/1.56 { ! alpha78( X, Y, Z, T ), alpha66( X, Y, Z, T ) }.
% 0.97/1.56 { ! alpha78( X, Y, Z, T ), alpha90( X, Y, Z, T ) }.
% 0.97/1.56 { ! alpha78( X, Y, Z, T ), alpha7( X, Y, Z ) }.
% 0.97/1.56 { ! alpha90( X, Y, Z, T ), ! alpha7( X, Y, Z ), alpha78( X, Y, Z, T ) }.
% 0.97/1.56 { ! alpha90( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.56 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X
% 0.97/1.56 , Y, c_Int_Onumber__class_Onumber__of( X, Z ) ), T ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.97/1.56 ), c_Groups_Ozero__class_Ozero( X ) ), alpha90( X, Y, Z, T ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Z ) ), T ), alpha90( X, Y, Z, T ) }
% 0.97/1.56 .
% 0.97/1.56 { ! alpha40( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 0.97/1.56 ) ), c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes
% 0.97/1.56 ( X, Y, c_Int_Onumber__class_Onumber__of( X, Z ) ) ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha40( X, Y, Z, T ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.56 Y, c_Int_Onumber__class_Onumber__of( X, Z ) ) ), alpha40( X, Y, Z, T ) }
% 0.97/1.56 .
% 0.97/1.56 { ! alpha7( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.56 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.56 , Y ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.56 Z ), c_Groups_Ozero__class_Ozero( X ) ), alpha7( X, Y, Z ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.97/1.56 , alpha7( X, Y, Z ) }.
% 0.97/1.56 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.56 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha41( X, Y, Z, T ) }.
% 0.97/1.56 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.56 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha67( X, Y, Z, T ) }.
% 0.97/1.56 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.56 class_Int_Onumber( X ), ! alpha41( X, Y, Z, T ), ! alpha67( X, Y, Z, T )
% 0.97/1.56 , c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T
% 0.97/1.56 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.56 { ! alpha67( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( X ), Z ), alpha79( X, Y, Z, T ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.97/1.56 , alpha67( X, Y, Z, T ) }.
% 0.97/1.56 { ! alpha79( X, Y, Z, T ), alpha67( X, Y, Z, T ) }.
% 0.97/1.56 { ! alpha79( X, Y, Z, T ), alpha91( X, Y, Z, T ) }.
% 0.97/1.56 { ! alpha79( X, Y, Z, T ), alpha8( X, Y, Z ) }.
% 0.97/1.56 { ! alpha91( X, Y, Z, T ), ! alpha8( X, Y, Z ), alpha79( X, Y, Z, T ) }.
% 0.97/1.56 { ! alpha91( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.56 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.56 ), Z ), T ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.56 alpha91( X, Y, Z, T ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Y ), Z ), T ), alpha91( X, Y, Z, T )
% 0.97/1.56 }.
% 0.97/1.56 { ! alpha41( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.56 T, c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.56 , Y ), Z ) ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.97/1.56 alpha41( X, Y, Z, T ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Y ), Z ) ), alpha41( X, Y, Z, T ) }
% 0.97/1.56 .
% 0.97/1.56 { ! alpha8( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.56 ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.56 , alpha8( X, Y, Z ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha8( X, Y, Z ) }.
% 0.97/1.56 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.56 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 0.97/1.56 ( X, Z, Y ) ), alpha42( X, Y, Z, T ) }.
% 0.97/1.56 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.56 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 0.97/1.56 ( X, Z, Y ) ), alpha68( X, Y, Z, T ) }.
% 0.97/1.56 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.56 class_Int_Onumber( X ), ! alpha42( X, Y, Z, T ), ! alpha68( X, Y, Z, T )
% 0.97/1.56 , c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.56 T ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.56 { ! alpha68( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( X ), Y ), alpha80( X, Y, Z, T ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.97/1.56 , alpha68( X, Y, Z, T ) }.
% 0.97/1.56 { ! alpha80( X, Y, Z, T ), alpha68( X, Y, Z, T ) }.
% 0.97/1.56 { ! alpha80( X, Y, Z, T ), alpha92( X, Y, Z, T ) }.
% 0.97/1.56 { ! alpha80( X, Y, Z, T ), alpha9( X, Y, T ) }.
% 0.97/1.56 { ! alpha92( X, Y, Z, T ), ! alpha9( X, Y, T ), alpha80( X, Y, Z, T ) }.
% 0.97/1.56 { ! alpha92( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.56 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.97/1.56 ), Y ) ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.56 alpha92( X, Y, Z, T ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, T ), Y ) ), alpha92( X, Y, Z, T ) }
% 0.97/1.56 .
% 0.97/1.56 { ! alpha42( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.56 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.97/1.56 ), Y ), Z ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.56 alpha42( X, Y, Z, T ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, T ), Y ), Z ), alpha42( X, Y, Z, T )
% 0.97/1.56 }.
% 0.97/1.56 { ! alpha9( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.56 ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.56 , alpha9( X, Y, Z ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.56 Z ), c_Groups_Ozero__class_Ozero( X ) ), alpha9( X, Y, Z ) }.
% 0.97/1.56 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.56 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.97/1.56 X, Y ) ) ), alpha43( X, Y, Z, T ) }.
% 0.97/1.56 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.56 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.97/1.56 X, Y ) ) ), alpha69( X, Y, Z, T ) }.
% 0.97/1.56 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.56 class_Int_Onumber( X ), ! alpha43( X, Y, Z, T ), ! alpha69( X, Y, Z, T )
% 0.97/1.56 , c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.56 , Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.97/1.56 { ! alpha69( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.56 ) ), alpha81( X, Y, Z, T ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha69( X, Y, Z, T ) }.
% 0.97/1.56 { ! alpha81( X, Y, Z, T ), alpha69( X, Y, Z, T ) }.
% 0.97/1.56 { ! alpha81( X, Y, Z, T ), alpha93( X, Y, Z, T ) }.
% 0.97/1.56 { ! alpha81( X, Y, Z, T ), alpha10( X, Y, T ) }.
% 0.97/1.56 { ! alpha93( X, Y, Z, T ), ! alpha10( X, Y, T ), alpha81( X, Y, Z, T ) }.
% 0.97/1.56 { ! alpha93( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.56 ) ), c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes
% 0.97/1.56 ( X, T, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.56 ), c_Groups_Ozero__class_Ozero( X ) ), alpha93( X, Y, Z, T ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.56 T, c_Int_Onumber__class_Onumber__of( X, Y ) ) ), alpha93( X, Y, Z, T ) }
% 0.97/1.56 .
% 0.97/1.56 { ! alpha43( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.56 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X
% 0.97/1.56 , T, c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ) }.
% 0.97/1.56 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha43( X, Y, Z, T ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ), alpha43( X, Y, Z, T ) }
% 0.97/1.56 .
% 0.97/1.56 { ! alpha10( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.56 ) ), c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.97/1.56 ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.97/1.56 Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha10( X, Y, Z ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.56 , alpha10( X, Y, Z ) }.
% 0.97/1.56 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.56 c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.97/1.56 c_Groups_Oone__class_Oone( X ) ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.56 ) ) = c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( Y ) ) }.
% 0.97/1.56 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.56 , Z = c_Groups_Ozero__class_Ozero( X ), c_Groups_Ominus__class_Ominus( X
% 0.97/1.56 , c_Rings_Oinverse__class_Oinverse( X, Y ),
% 0.97/1.56 c_Rings_Oinverse__class_Oinverse( X, Z ) ) =
% 0.97/1.56 c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.56 c_Groups_Otimes__class_Otimes( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.97/1.56 ), c_Groups_Ominus__class_Ominus( X, Y, Z ) ),
% 0.97/1.56 c_Rings_Oinverse__class_Oinverse( X, Z ) ) ) }.
% 0.97/1.56 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), !
% 0.97/1.56 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.56 c_RealVector_Onorm__class_Onorm( X, Z ), c_Groups_Otimes__class_Otimes(
% 0.97/1.56 tc_RealDef_Oreal, Y, c_RealVector_Onorm__class_Onorm( X, T ) ) ), Z =
% 0.97/1.56 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.56 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.97/1.56 tc_Nat_Onat, Y ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.56 c_RealDef_Oreal( tc_Nat_Onat, X ), c_Groups_Oone__class_Oone(
% 0.97/1.56 tc_RealDef_Oreal ) ) ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.97/1.56 tc_Nat_Onat, Y ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.97/1.56 c_RealDef_Oreal( tc_Nat_Onat, X ), c_Groups_Oone__class_Oone(
% 0.97/1.56 tc_RealDef_Oreal ) ) ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 0.97/1.56 , X ) }.
% 0.97/1.56 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.56 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.97/1.56 X, Z ) ), Y ), alpha44( X, Y, Z, T ) }.
% 0.97/1.56 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.56 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.56 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.97/1.56 X, Z ) ), Y ), alpha70( X, Y, Z, T ) }.
% 0.97/1.56 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.56 class_Int_Onumber( X ), ! alpha44( X, Y, Z, T ), ! alpha70( X, Y, Z, T )
% 0.97/1.56 , c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide(
% 0.97/1.56 X, T, c_Int_Onumber__class_Onumber__of( X, Z ) ), Y ) }.
% 0.97/1.56 { ! alpha70( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.56 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 0.97/1.56 ) ), alpha82( X, Y, Z, T ) }.
% 0.97/1.56 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha70( X, Y, Z, T ) }.
% 0.97/1.56 { ! alpha82( X, Y, Z, T ), alpha70( X, Y, Z, T ) }.
% 0.97/1.56 { ! alpha82( X, Y, Z, T ), alpha94( X, Y, Z, T ) }.
% 0.97/1.56 { ! alpha82( X, Y, Z, T ), alpha11( X, Y, Z ) }.
% 0.97/1.56 { ! alpha94( X, Y, Z, T ), ! alpha11( X, Y, Z ), alpha82( X, Y, Z, T ) }.
% 0.97/1.56 { ! alpha94( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.56 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.56 ) ), 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 ) ), alpha94( 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 ), 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, 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 ) ), alpha44( 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 ) ) ), 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, 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 ) ), alpha11( 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 ), 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_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, 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_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, 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_Rings_Oinverse__class_Odivide(
% 0.97/1.57 X, T, Z ), c_Int_Onumber__class_Onumber__of( X, 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 ), Z ), alpha83( 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 , 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, Z ) }.
% 0.97/1.57 { ! alpha95( X, Y, Z, T ), ! alpha12( X, Y, Z ), alpha83( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha95( 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 alpha95( 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 ), 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 ), 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 alpha45( 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 ) ), alpha45( X, Y, Z, T
% 0.97/1.57 ) }.
% 0.97/1.57 { ! alpha12( 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 , alpha12( 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 ) ), 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_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 0.97/1.57 ( X, Z, 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_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 0.97/1.57 ( X, Z, 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_Int_Onumber__class_Onumber__of
% 0.97/1.57 ( X, T ), c_Rings_Oinverse__class_Odivide( X, Z, 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 ), Y ), alpha84( 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 , 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, T ) }.
% 0.97/1.57 { ! alpha96( X, Y, Z, T ), ! alpha13( X, Y, T ), alpha84( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha96( 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 alpha96( 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 ) ), 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 ), 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 alpha46( 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 ), alpha46( X, Y, Z, T
% 0.97/1.57 ) }.
% 0.97/1.57 { ! alpha13( 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 , alpha13( 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 ) ), 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, T,
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.97/1.57 X, 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, T,
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.97/1.57 X, 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, 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 { ! 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, Y
% 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, Y ) ), 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, T ) }.
% 0.97/1.57 { ! alpha97( X, Y, Z, T ), ! alpha14( X, Y, T ), 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, 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 ) ), alpha97( 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 ) ) ), 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, 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 ) ), alpha47( 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 ), 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, 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 ) ), alpha14( 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 ) ), alpha14( X, Y, Z ) }.
% 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_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_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_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_Nat_Onat, skol16, 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__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, skol17 ), 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, skol17 ) ), 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_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, skol18( 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, skol18( 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_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, skol19( 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, skol19( X ) ) ) ) ), X ) }.
% 0.97/1.57 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Otimes__class_Otimes
% 0.97/1.57 ( tc_Int_Oint, Z, Y ), X ) = c_Groups_Otimes__class_Otimes( tc_Int_Oint,
% 0.97/1.57 Z, c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.97/1.57 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) =
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y ) }.
% 0.97/1.57 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Int_OPls, X ) = c_Int_OPls
% 0.97/1.57 }.
% 0.97/1.57 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Int_OBit0( Y ), X ) =
% 0.97/1.57 c_Int_OBit0( c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.97/1.57 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Oone__class_Oone(
% 0.97/1.57 tc_Int_Oint ), X ) = X }.
% 0.97/1.57 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, c_Groups_Oone__class_Oone
% 0.97/1.57 ( tc_Int_Oint ) ) = X }.
% 0.97/1.57 { c_Groups_Otimes__class_Otimes( 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,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.97/1.57 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z,
% 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, c_Groups_Otimes__class_Otimes(
% 0.97/1.57 tc_Int_Oint, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ) )
% 0.97/1.57 }.
% 0.97/1.57 { c_Groups_Otimes__class_Otimes( 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_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.97/1.57 { c_Groups_Otimes__class_Otimes( tc_Int_Oint,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ), X ) =
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.97/1.57 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ) ) =
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Groups_Otimes__class_Otimes
% 0.97/1.57 ( tc_Int_Oint, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X )
% 0.97/1.57 ) }.
% 0.97/1.57 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Ominus__class_Ominus
% 0.97/1.57 ( tc_Int_Oint, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Int_Oint,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( 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, c_Groups_Ozero__class_Ozero(
% 0.97/1.57 tc_Int_Oint ), Z ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ) ) }.
% 0.97/1.57 { c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 0.97/1.57 , Y, X ) ) = c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.57 c_RealDef_Oreal( tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }
% 0.97/1.57 .
% 0.97/1.57 { ! c_Groups_Oabs__class_Oabs( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 0.97/1.57 tc_Int_Oint, X, Y ) ) = c_Groups_Oone__class_Oone( tc_Int_Oint ),
% 0.97/1.57 c_Groups_Oabs__class_Oabs( tc_Int_Oint, X ) = c_Groups_Oone__class_Oone(
% 0.97/1.57 tc_Int_Oint ) }.
% 0.97/1.57 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Int_OBit1( Y ), X ) =
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit0(
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ), 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_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y
% 0.97/1.57 ) = c_Groups_Oone__class_Oone( 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_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.97/1.57 ( tc_Int_Oint ), X ), ! c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y
% 0.97/1.57 ) = c_Groups_Oone__class_Oone( tc_Int_Oint ), Y =
% 0.97/1.57 c_Groups_Oone__class_Oone( 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 ), X ), ! X = c_Groups_Oone__class_Oone( tc_Int_Oint ), ! Y
% 0.97/1.57 = c_Groups_Oone__class_Oone( tc_Int_Oint ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y ) =
% 0.97/1.57 c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 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 , skol20 ) }.
% 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, skol21 ) ), 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_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_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.97/1.57 ( tc_Int_Oint ), X ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Z,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.97/1.57 tc_Int_Oint, c_Groups_Oabs__class_Oabs( tc_Int_Oint,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, Z ) ),
% 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 ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Z,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.97/1.57 tc_Int_Oint, c_Groups_Oabs__class_Oabs( tc_Int_Oint,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Z, Y ) ),
% 0.97/1.57 c_Groups_Oone__class_Oone( tc_Int_Oint ) ), X ) ), Y ) }.
% 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 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 0.97/1.57 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 0.97/1.57 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.97/1.57 Z, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.57 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ), Z = X, Y =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.57 { ! Z = X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 0.97/1.57 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 0.97/1.57 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ), Y = X, Z =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.57 { ! Y = X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 0.97/1.57 { ! Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 0.97/1.57 { ! c_Groups_Otimes__class_Otimes( 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 ), 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 ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, 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_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.57 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X,
% 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_Groups_Otimes__class_Otimes( 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_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_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ) =
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), X ), Y = X }
% 0.97/1.57 .
% 0.97/1.57 { ! Y = X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), Y )
% 0.97/1.57 = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), 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_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 ), ! X = Y }.
% 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 { 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 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, 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_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, 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, 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, Y, X ) =
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) }.
% 0.97/1.57 { c_Groups_Otimes__class_Otimes( 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, c_Groups_Otimes__class_Otimes(
% 0.97/1.57 tc_Nat_Onat, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) )
% 0.97/1.57 }.
% 0.97/1.57 { c_Groups_Otimes__class_Otimes( 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,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( 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 ), 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_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, X ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, 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_Otimes__class_Otimes( tc_Nat_Onat, Y, Z ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( 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,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( 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, T, Z ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, T ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ) ) }.
% 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 { c_Groups_Otimes__class_Otimes( 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_Otimes__class_Otimes( tc_Nat_Onat, Z, X ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.57 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z,
% 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_Otimes__class_Otimes
% 0.97/1.57 ( tc_Nat_Onat, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X )
% 0.97/1.57 ) }.
% 0.97/1.57 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.97/1.57 c_Groups_Oone__class_Oone( tc_Nat_Onat ), Y = c_Groups_Oone__class_Oone(
% 0.97/1.57 tc_Nat_Onat ) }.
% 0.97/1.57 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.97/1.57 c_Groups_Oone__class_Oone( tc_Nat_Onat ), X = c_Groups_Oone__class_Oone(
% 0.97/1.57 tc_Nat_Onat ) }.
% 0.97/1.57 { ! Y = c_Groups_Oone__class_Oone( tc_Nat_Onat ), ! X =
% 0.97/1.57 c_Groups_Oone__class_Oone( tc_Nat_Onat ), c_Groups_Otimes__class_Otimes(
% 0.97/1.57 tc_Nat_Onat, Y, X ) = c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.97/1.57 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, c_Groups_Oone__class_Oone
% 0.97/1.57 ( tc_Nat_Onat ) ) = X }.
% 0.97/1.57 { ! c_Groups_Oone__class_Oone( tc_Nat_Onat ) =
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ), Y =
% 0.97/1.57 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.97/1.57 { ! c_Groups_Oone__class_Oone( tc_Nat_Onat ) =
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ), X =
% 0.97/1.57 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.97/1.57 { ! Y = c_Groups_Oone__class_Oone( tc_Nat_Onat ), ! X =
% 0.97/1.57 c_Groups_Oone__class_Oone( tc_Nat_Onat ), c_Groups_Oone__class_Oone(
% 0.97/1.57 tc_Nat_Onat ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) }.
% 0.97/1.57 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Oone__class_Oone(
% 0.97/1.57 tc_Nat_Onat ), X ) = X }.
% 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 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y = c_Nat_OSuc(
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.97/1.57 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X = c_Nat_OSuc(
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.97/1.57 { ! Y = c_Nat_OSuc( 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_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 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_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 { 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 ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, 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 ), Y ) }.
% 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_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, 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 ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.57 ( tc_Nat_Onat ), Y ), ! 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 ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, 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 ), Z ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( 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_Ozero__class_Ozero
% 0.97/1.57 ( tc_Nat_Onat ), Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X
% 0.97/1.57 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.57 tc_Nat_Onat ), Y ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, 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 ), Y ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X
% 0.97/1.57 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 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_Ozero__class_Ozero(
% 0.97/1.57 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, Z ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( 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, c_Groups_Ozero__class_Ozero(
% 0.97/1.57 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, 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, 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( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( 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_Otimes__class_Otimes
% 0.97/1.57 ( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ), c_Groups_Otimes__class_Otimes(
% 0.97/1.57 tc_Nat_Onat, c_Nat_OSuc( Z ), X ) ) }.
% 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_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, 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, c_Groups_Ozero__class_Ozero(
% 0.97/1.57 tc_Nat_Onat ), X ) = 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 { ! 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_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_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, 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_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) =
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.57 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) =
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 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__eq( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( 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_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), 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 ), 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_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, 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_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, 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, 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, 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, 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, Y, X ), 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, 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_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__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 { ! Y = X, 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_Ozero__class_Ozero(
% 0.97/1.57 tc_Nat_Onat ), X ) = 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, 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, 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_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_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, 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, 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, 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, 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,
% 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 ), X =
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol22( 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, 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,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) }.
% 0.97/1.57 { ! Y = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ), X =
% 0.97/1.57 c_Groups_Oone__class_Oone( tc_Nat_Onat ), Y = c_Groups_Ozero__class_Ozero
% 0.97/1.57 ( tc_Nat_Onat ) }.
% 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, c_Groups_Ominus__class_Ominus
% 0.97/1.57 ( tc_Nat_Onat, Y, 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, 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_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_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_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, Y, X ), 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, Y, X ), X ) = Y }.
% 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, Y, 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,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ),
% 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, Y, X ),
% 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, Y, Z ),
% 0.97/1.57 c_Groups_Ominus__class_Ominus( 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_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) = 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, Y, Z ), !
% 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 ), 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, Z ), ! X = Z,
% 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, Y, X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ),
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.97/1.57 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.97/1.57 ) = c_Groups_Ominus__class_Ominus( 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, 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 ) }.
% 0.97/1.57 { ! 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, X, 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( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.57 ( tc_Nat_Onat ), X ), X = c_Nat_OSuc( skol23( X ) ) }.
% 0.97/1.57 { ! X = c_Nat_OSuc( Y ), 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, X, c_Nat_OSuc(
% 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( tc_Nat_Onat, X, c_Nat_OSuc(
% 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, c_Nat_OSuc( X ) ), Y =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha15( X, Y ) }.
% 0.97/1.57 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.97/1.57 { ! alpha15( X, Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.97/1.57 c_Nat_OSuc( X ) ) }.
% 0.97/1.57 { ! alpha15( X, Y ), Y = c_Nat_OSuc( skol24( Z, Y ) ) }.
% 0.97/1.57 { ! alpha15( X, Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, skol24( X
% 0.97/1.57 , Y ), X ) }.
% 0.97/1.57 { ! Y = c_Nat_OSuc( Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X
% 0.97/1.57 ), alpha15( X, Y ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( c_Nat_OSuc(
% 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 ), X = c_Nat_OSuc(
% 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(
% 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_Nat_OSuc(
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 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_Nat_OSuc(
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 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_Nat_OSuc(
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.57 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), alpha16( X, Y ), alpha48( X
% 0.97/1.57 , Y ) }.
% 0.97/1.57 { ! alpha16( X, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.97/1.57 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.97/1.57 { ! alpha48( X, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.97/1.57 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.97/1.57 { ! alpha48( X, Y ), Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.57 { ! alpha48( X, Y ), X = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.97/1.57 tc_Nat_Onat ) ) }.
% 0.97/1.57 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), ! X = c_Nat_OSuc(
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), alpha48( X, Y ) }.
% 0.97/1.57 { ! alpha16( X, Y ), Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.97/1.57 tc_Nat_Onat ) ) }.
% 0.97/1.57 { ! alpha16( X, Y ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.57 { ! Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), ! X =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha16( X, Y ) }.
% 0.97/1.57 { ! c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ), alpha17( X, Y ),
% 0.97/1.57 alpha49( X, Y ) }.
% 0.97/1.57 { ! alpha17( X, Y ), c_Nat_OSuc( 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 { ! alpha49( X, Y ), c_Nat_OSuc( 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 { ! alpha49( X, Y ), Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.57 { ! alpha49( X, Y ), X = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.97/1.57 tc_Nat_Onat ) ) }.
% 0.97/1.57 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), ! X = c_Nat_OSuc(
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), alpha49( X, Y ) }.
% 0.97/1.57 { ! alpha17( X, Y ), Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.97/1.57 tc_Nat_Onat ) ) }.
% 0.97/1.57 { ! alpha17( X, Y ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.57 { ! Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), ! X =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha17( X, Y ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, 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 ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, 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 ), Y ), 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 ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 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 ) ) }.
% 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_Nat_Onat,
% 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 ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, 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 ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X
% 0.97/1.57 ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.57 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( 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_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.57 tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X
% 0.97/1.57 ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.57 tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 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_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), X = c_Nat_OSuc(
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol25( X, Y ) ) ) }.
% 0.97/1.57 { ! X = c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, 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, c_Nat_OSuc(
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc(
% 0.97/1.57 c_Groups_Oplus__class_Oplus( 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, c_Nat_OSuc( Y ), X ) }.
% 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( 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__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, c_Nat_OSuc( X ) ) }.
% 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( 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, 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( 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__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( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ), X = Y }
% 0.97/1.57 .
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), ! X = 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__eq( 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, c_Groups_Ozero__class_Ozero
% 0.97/1.57 ( tc_Nat_Onat ), c_Groups_Ominus__class_Ominus( 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, Y ),
% 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_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, 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_Nat_Onat,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ),
% 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, X ), Y ) }.
% 0.97/1.57 { c_Groups_Oone__class_Oone( tc_Nat_Onat ) = c_Nat_OSuc(
% 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_Groups_Ominus__class_Ominus
% 0.97/1.57 ( tc_Nat_Onat, Y, X ), c_Nat_OSuc( Y ) ) }.
% 0.97/1.57 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y,
% 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 ) }.
% 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_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_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_Orderings_Oord__class_Oless__eq( 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_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( X ), Y ) =
% 0.97/1.57 c_Nat_OSuc( c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( 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, 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, Z, X ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z
% 0.97/1.57 , 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_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) = 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, Z, Y ),
% 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 ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z )
% 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, 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, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.97/1.57 ), c_Orderings_Oord__class_Oless( 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, Z ), !
% 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_Groups_Ominus__class_Ominus
% 0.97/1.57 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.97/1.57 ) }.
% 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_Oplus__class_Oplus(
% 0.97/1.57 tc_Nat_Onat, X, Z ), Y ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), Z ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.97/1.57 tc_Nat_Onat, X, Y ), Z ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ), Y ) }.
% 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_Oplus__class_Oplus(
% 0.97/1.57 tc_Nat_Onat, Z, X ), Y ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( 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_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) = Z, X =
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) }.
% 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, Z, Y ),
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) = Z }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.97/1.57 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, Z,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ),
% 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, Z, Y ), X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( 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_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 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, c_Groups_Oplus__class_Oplus(
% 0.97/1.57 tc_Nat_Onat, Z, X ), Y ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, 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, Z,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.57 tc_Nat_Onat, X, Z ), Y ) ) }.
% 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, Z, Y ), X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 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, Z,
% 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,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( 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, Z,
% 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, c_Groups_Oplus__class_Oplus(
% 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( X ),
% 0.97/1.57 c_Groups_Oone__class_Oone( 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_Nat_Onat,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ), 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_Nat_OSuc( c_Groups_Ominus__class_Ominus(
% 0.97/1.57 tc_Nat_Onat, X, c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) )
% 0.97/1.57 ) ) = X }.
% 0.97/1.57 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.97/1.57 , alpha18( X, Y, Z ) }.
% 0.97/1.57 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.97/1.57 , alpha50( X, Y, Z ) }.
% 0.97/1.57 { ! alpha18( X, Y, Z ), ! alpha50( X, Y, Z ), hBOOL( hAPP( Z,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) ) }.
% 0.97/1.57 { ! alpha50( X, Y, Z ), ! Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.97/1.57 T ), hBOOL( hAPP( Z, T ) ) }.
% 0.97/1.57 { ! hBOOL( hAPP( Z, skol26( T, U, Z ) ) ), alpha50( X, Y, Z ) }.
% 0.97/1.57 { Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, skol26( X, Y, Z ) ),
% 0.97/1.57 alpha50( X, Y, Z ) }.
% 0.97/1.57 { ! alpha18( X, Y, Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X
% 0.97/1.57 ), hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), alpha18( X, Y, Z ) }
% 0.97/1.57 .
% 0.97/1.57 { ! hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), alpha18
% 0.97/1.57 ( X, Y, Z ) }.
% 0.97/1.57 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.97/1.57 , ! alpha19( X, Y, Z ) }.
% 0.97/1.57 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.97/1.57 , ! alpha51( X, Y, Z ) }.
% 0.97/1.57 { alpha19( X, Y, Z ), alpha51( X, Y, Z ), hBOOL( hAPP( Z,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) ) }.
% 0.97/1.57 { ! alpha51( X, Y, Z ), ! hBOOL( hAPP( Z, skol27( T, U, Z ) ) ) }.
% 0.97/1.57 { ! alpha51( X, Y, Z ), Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.97/1.57 skol27( X, Y, Z ) ) }.
% 0.97/1.57 { ! Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, T ), hBOOL( hAPP( Z, T
% 0.97/1.57 ) ), alpha51( X, Y, Z ) }.
% 0.97/1.57 { ! alpha19( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X )
% 0.97/1.57 }.
% 0.97/1.57 { ! alpha19( X, Y, Z ), ! hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero(
% 0.97/1.57 tc_Nat_Onat ) ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), hBOOL( hAPP( Z,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), alpha19( X, Y, Z ) }.
% 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_OPls ) ) }.
% 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_Nat_OSuc(
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ), Z ) =
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( X ),
% 0.97/1.57 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_Ominus__class_Ominus( tc_Nat_Onat, Z, c_Nat_OSuc(
% 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, c_Groups_Oplus__class_Oplus(
% 0.97/1.57 tc_Nat_Onat, Z, 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 ),
% 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_Ozero__class_Ozero( tc_Int_Oint ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( 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, 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_OBit1( 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_Nat_OSuc( c_Groups_Ominus__class_Ominus(
% 0.97/1.57 tc_Nat_Onat, X, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) = X }.
% 0.97/1.57 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.97/1.57 tc_Nat_Onat, X ), c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 0.97/1.57 c_Int_OBit0( c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) =
% 0.97/1.57 c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 0.97/1.57 , c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit0
% 0.97/1.57 ( c_Int_OBit1( c_Int_OPls ) ) ) ), 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 ), ! X = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y ) ), !
% 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 ), Z ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.97/1.57 c_Groups_Oone__class_Oone( 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 ), X ), ! X = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y ) ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Groups_Oone__class_Oone
% 0.97/1.57 ( tc_Int_Oint ), Y ) }.
% 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_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_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 { ! 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_Int_Onumber__ring( X ), c_Groups_Ozero__class_Ozero( X ) =
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ) }.
% 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, X ),
% 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, X, c_Int_OPls ),
% 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, X ) }.
% 0.97/1.57 { ! c_Int_Onumber__class_Onumber__of( 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_Int_Oint, X, 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_Int_Onumber__class_Onumber__of( 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,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ), alpha20( X, Y ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.97/1.57 { ! alpha20( X, Y ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.97/1.57 { ! alpha20( X, Y ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, 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, Y, X ), alpha20( X, Y ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ), alpha20( X
% 0.97/1.57 , Y ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, 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, c_Int_OPls ) }.
% 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_Nat_Onat,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, 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( tc_Nat_Onat,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.97/1.57 { c_Groups_Oone__class_Oone( tc_Nat_Onat ) =
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 0.97/1.57 ) }.
% 0.97/1.57 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 0.97/1.57 ) = c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 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_Oone__class_Oone(
% 0.97/1.57 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__eq( tc_Int_Oint,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ),
% 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_Oplus__class_Oplus(
% 0.97/1.57 tc_Int_Oint, X, Y ) ) }.
% 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__eq( tc_Int_Oint,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ),
% 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_Otimes__class_Otimes
% 0.97/1.57 ( tc_Int_Oint, X, Y ) ) }.
% 0.97/1.57 { c_Nat_OSuc( X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Oone__class_Oone( tc_Nat_Onat ), X ) }.
% 0.97/1.57 { c_Nat_OSuc( X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.97/1.57 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) }.
% 0.97/1.57 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, 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, Y, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ), 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__ring( X ), c_Groups_Oone__class_Oone( X ) =
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ) }.
% 0.97/1.57 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 0.97/1.57 ) = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.97/1.57 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OBit1(
% 0.97/1.57 c_Int_OPls ) ) ) = c_Nat_OSuc( c_Nat_OSuc( c_Nat_OSuc(
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) ) }.
% 0.97/1.57 { c_Nat_OSuc( c_Nat_OSuc( c_Nat_OSuc( X ) ) ) = c_Groups_Oplus__class_Oplus
% 0.97/1.57 ( tc_Nat_Onat, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1
% 0.97/1.57 ( c_Int_OBit1( c_Int_OPls ) ) ), 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 ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, 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_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.97/1.57 tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, 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( tc_Int_Oint, X, c_Int_OPls ),
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) }.
% 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( tc_Int_Oint, X, c_Int_OPls ),
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Int_Oint, 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 ), 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_Otimes__class_Otimes( tc_RealDef_Oreal, Y, T ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( 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 ), T ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, Y ), 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 ), 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_Otimes__class_Otimes( tc_RealDef_Oreal, Y, T ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, T,
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, X ) ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z,
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, Y ) ) ) }.
% 0.97/1.57 { c_Nat_OSuc( c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) =
% 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 ) ) ) }.
% 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 ) ) ) = c_Nat_OSuc( c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.97/1.57 tc_Nat_Onat ) ) ) }.
% 0.97/1.57 { c_Groups_Oplus__class_Oplus( 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 ) ) ) ) = c_Nat_OSuc( c_Nat_OSuc( X ) ) }.
% 0.97/1.57 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 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_Nat_OSuc( c_Nat_OSuc( X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OPls ), X ),
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) =
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 0.97/1.57 ) ) ) }.
% 0.97/1.57 { c_Groups_Otimes__class_Otimes( 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 ) ) ) ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, X ) }.
% 0.97/1.57 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 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_Oplus__class_Oplus( tc_Nat_Onat, X, X )
% 0.97/1.57 }.
% 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_OBit1( c_Int_OBit1(
% 0.97/1.57 c_Int_OPls ) ) ) ) }.
% 0.97/1.57 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Oone__class_Oone(
% 0.97/1.57 tc_Nat_Onat ), c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) =
% 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 ) ) ) }.
% 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_Nat_OSuc( c_Groups_Ominus__class_Ominus(
% 0.97/1.57 tc_Nat_Onat, X, c_Groups_Oone__class_Oone( 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 ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) = c_Nat_OSuc(
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ),
% 0.97/1.57 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, c_Int_OPls ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Z ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ), X ) ) =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, c_Int_OPls ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Z ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ), X ) ) =
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ) ), X ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( 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_Int_Oint, Y, c_Int_OPls ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.97/1.57 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.97/1.57 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = X }.
% 0.97/1.57 { Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.97/1.57 tc_Nat_Onat, Y, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ), X ) ) }.
% 0.97/1.57 { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes
% 0.97/1.57 ( tc_Int_Oint, W, U ), T ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, 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_Otimes__class_Otimes( tc_Int_Oint, Z, 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, T, W ), !
% 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 ), Z ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z,
% 0.97/1.57 W ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, U ) }.
% 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, c_Groups_Otimes__class_Otimes(
% 0.97/1.57 tc_Int_Oint, U, T ), Z ), c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Int_Oint, U, Y ), X ) ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( 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, U, X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, U, Z ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, T ) }.
% 0.97/1.57 { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes
% 0.97/1.57 ( tc_Int_Oint, W, U ), T ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ), 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_Oplus__class_Oplus(
% 0.97/1.57 tc_Int_Oint, c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ), X ) ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Z ), !
% 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 ), T ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.97/1.57 tc_Int_Oint ), Z ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z,
% 0.97/1.57 W ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, U, Y ) }.
% 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, c_Groups_Otimes__class_Otimes(
% 0.97/1.57 tc_Int_Oint, U, T ), Z ), c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Int_Oint, U, Y ), 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 ), Z ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, U ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, U ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, T, Y ) }.
% 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_Otimes__class_Otimes( tc_Int_Oint, Z, Y ), 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 ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 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 ), c_Groups_Oplus__class_Oplus(
% 0.97/1.57 tc_Int_Oint, c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ), X ) ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Z ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.97/1.57 tc_Int_Oint ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ) }.
% 0.97/1.57 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, 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 ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.97/1.57 ( tc_Nat_Onat, Y, c_Groups_Oone__class_Oone( 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 ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0
% 0.97/1.57 ( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__semiring__1__strict( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57 ( X, T, Y ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), U ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), W
% 0.97/1.57 ), ! c_Groups_Oplus__class_Oplus( X, U, W ) = c_Groups_Oone__class_Oone
% 0.97/1.57 ( X ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.97/1.57 X, W, T ) ), 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( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.57 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), T ),
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.57 tc_Nat_Onat, Y, U ), Z ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.57 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.97/1.57 , 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( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.57 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), 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, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), T ),
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.57 tc_Nat_Onat, Y, U ), Z ) ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__idom( X ), Z = Y,
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.97/1.57 X, Y, Z ) }.
% 0.97/1.57 { ! class_Rings_Odivision__ring__inverse__zero( X ),
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( X, c_Rings_Oinverse__class_Oinverse( X
% 0.97/1.57 , Y ) ) = Y }.
% 0.97/1.57 { ! class_Rings_Odivision__ring__inverse__zero( X ), !
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( X, Z ) =
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( X, Y ), Z = Y }.
% 0.97/1.57 { ! class_Rings_Odivision__ring__inverse__zero( X ), ! Z = Y,
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( X, Z ) =
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( X, Y ) }.
% 0.97/1.57 { ! class_Rings_Odivision__ring__inverse__zero( X ), !
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( X, Z ) =
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( X, Y ), Z = Y }.
% 0.97/1.57 { ! class_Rings_Ono__zero__divisors( X ), ! c_Groups_Otimes__class_Otimes(
% 0.97/1.57 X, Z, Y ) = c_Groups_Ozero__class_Ozero( 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 { ! class_Rings_Ono__zero__divisors( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.97/1.57 X ), Z = c_Groups_Ozero__class_Ozero( X ), !
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Y, Z ) = c_Groups_Ozero__class_Ozero( X
% 0.97/1.57 ) }.
% 0.97/1.57 { ! class_Rings_Oring__no__zero__divisors( X ), !
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.97/1.57 ), Z = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero
% 0.97/1.57 ( X ) }.
% 0.97/1.57 { ! class_Rings_Oring__no__zero__divisors( X ), ! Z =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.97/1.57 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57 { ! class_Rings_Oring__no__zero__divisors( X ), ! Y =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.97/1.57 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57 { ! class_Rings_Omult__zero( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57 { ! class_Rings_Omult__zero( X ), c_Groups_Otimes__class_Otimes( X,
% 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_Ozero__neq__one( X ), ! c_Groups_Ozero__class_Ozero( X ) =
% 0.97/1.57 c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.57 { ! class_Rings_Ozero__neq__one( X ), ! c_Groups_Oone__class_Oone( X ) =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57 { ! class_Rings_Ocomm__semiring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.97/1.57 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.97/1.57 { ! class_Rings_Osemiring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Oplus__class_Oplus( X
% 0.97/1.57 , c_Groups_Otimes__class_Otimes( X, Z, T ), Y ) ) =
% 0.97/1.57 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( X, U, Z ), T ), Y ) }.
% 0.97/1.57 { ! class_Rings_Oidom( X ), ! c_Groups_Otimes__class_Otimes( X, Z, Z ) =
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Y, Y ), Z = Y, Z =
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.97/1.57 { ! class_Rings_Oidom( X ), ! Z = Y, c_Groups_Otimes__class_Otimes( X, Z, Z
% 0.97/1.57 ) = c_Groups_Otimes__class_Otimes( X, Y, Y ) }.
% 0.97/1.57 { ! class_Rings_Oidom( X ), ! Z = c_Groups_Ouminus__class_Ouminus( X, Y ),
% 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_Oring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( X, Z ), c_Groups_Ouminus__class_Ouminus
% 0.97/1.57 ( X, Y ) ) = c_Groups_Otimes__class_Otimes( X, Z, Y ) }.
% 0.97/1.57 { ! class_Rings_Oring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) =
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.97/1.57 Y ) ) }.
% 0.97/1.57 { ! class_Rings_Oring( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.97/1.57 , Y ) }.
% 0.97/1.57 { ! class_Rings_Oring( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.97/1.57 Y ) ) }.
% 0.97/1.57 { ! class_Rings_Odivision__ring__inverse__zero( X ),
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.57 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 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_Odivision__ring( X ), c_Groups_Otimes__class_Otimes( X, T,
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.97/1.57 Z ), Y ) }.
% 0.97/1.57 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.97/1.57 ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ),
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.57 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( X, T, Z ), Y ) =
% 0.97/1.57 c_Groups_Ominus__class_Ominus( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.97/1.57 Y ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.57 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X, Y
% 0.97/1.57 , c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.97/1.57 { ! class_Rings_Odivision__ring__inverse__zero( X ),
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( X, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57 { ! class_Rings_Odivision__ring__inverse__zero( X ), !
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.97/1.57 ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57 { ! class_Rings_Odivision__ring__inverse__zero( X ), ! Y =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Oinverse( X, Y
% 0.97/1.57 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57 , ! c_Rings_Oinverse__class_Oinverse( X, Y ) =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57 , c_Rings_Oinverse__class_Oinverse( X, c_Rings_Oinverse__class_Oinverse(
% 0.97/1.57 X, Y ) ) = Y }.
% 0.97/1.57 { ! class_Rings_Odivision__ring( X ), ! c_Rings_Oinverse__class_Oinverse( X
% 0.97/1.57 , Y ) = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero
% 0.97/1.57 ( X ) }.
% 0.97/1.57 { ! class_Rings_Odivision__ring( X ), ! c_Rings_Oinverse__class_Oinverse( X
% 0.97/1.57 , Z ) = c_Rings_Oinverse__class_Oinverse( X, Y ), Z =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z
% 0.97/1.57 = Y }.
% 0.97/1.57 { ! class_Rings_Olinordered__idom( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.57 c_Groups_Oabs__class_Oabs( X, Y ), c_Groups_Oabs__class_Oabs( X, Y ) ) =
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Y, Y ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__idom( X ), c_Groups_Oabs__class_Oabs( X,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.97/1.57 c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.97/1.57 { ! class_Rings_Odivision__ring( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X, Z
% 0.97/1.57 ), Y ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__idom( X ), c_Groups_Oabs__class_Oabs( X,
% 0.97/1.57 c_Groups_Oone__class_Oone( X ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.57 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ), Z =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y = X }.
% 0.97/1.57 { ! Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 0.97/1.57 { ! Y = X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 0.97/1.57 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Oinverse( X,
% 0.97/1.57 c_Groups_Oone__class_Oone( X ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.57 { ! class_Rings_Odivision__ring__inverse__zero( X ),
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( X, c_Groups_Ouminus__class_Ouminus( X,
% 0.97/1.57 Y ) ) = c_Groups_Ouminus__class_Ouminus( X,
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.97/1.57 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.57 tc_Nat_Onat, T, Z ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, Z ), X ) ) =
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.57 tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, T, Y ), Z ), X ) }
% 0.97/1.57 .
% 0.97/1.57 { c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 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, Y, Y ) ) =
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, Y ) }.
% 0.97/1.57 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.97/1.57 ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 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, Z, Y ), c_Groups_Ozero__class_Ozero(
% 0.97/1.57 X ) ) }.
% 0.97/1.57 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( 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 ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.57 ) ) }.
% 0.97/1.57 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.57 , c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.57 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.97/1.57 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.97/1.57 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.57 , Z, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.97/1.57 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.97/1.57 { ! class_Rings_Oordered__semiring( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.57 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.97/1.57 X ), U ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Z, U ), c_Groups_Otimes__class_Otimes(
% 0.97/1.57 X, Y, T ) ) }.
% 0.97/1.57 { ! class_Rings_Oordered__semiring( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.97/1.57 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.97/1.57 X ), U ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Z, U ), c_Groups_Otimes__class_Otimes(
% 0.97/1.57 X, Y, T ) ) }.
% 0.97/1.57 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.57 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 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, T, Y ), c_Groups_Otimes__class_Otimes
% 0.97/1.57 ( X, T, Z ) ) }.
% 0.97/1.57 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.57 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 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, Y, T ), c_Groups_Otimes__class_Otimes
% 0.97/1.57 ( X, Z, T ) ) }.
% 0.97/1.57 { ! class_Rings_Oordered__comm__semiring( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.97/1.57 ), c_Orderings_Oord__class_Oless__eq( 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_Rings_Oordered__semiring( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.97/1.57 ), c_Orderings_Oord__class_Oless__eq( 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_Rings_Oordered__semiring( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.97/1.57 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 0.97/1.57 X, Z, T ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.97/1.57 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.57 , Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.97/1.57 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.97/1.57 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, Y, 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 ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Y, Z ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.57 ) ) }.
% 0.97/1.57 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.57 ), ! c_Orderings_Oord__class_Oless__eq( 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, Z, Y ), c_Groups_Ozero__class_Ozero(
% 0.97/1.57 X ) ) }.
% 0.97/1.57 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.57 ), ! c_Orderings_Oord__class_Oless__eq( 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, Y, Z ), c_Groups_Ozero__class_Ozero(
% 0.97/1.57 X ) ) }.
% 0.97/1.57 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.57 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.97/1.57 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Y, Z
% 0.97/1.57 ) ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.97/1.57 , Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha21( X, Y, Z ), alpha52( X
% 0.97/1.57 , Y, Z ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha21( X, Y, Z ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.97/1.57 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha52( X, Y, Z ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.97/1.57 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57 { ! alpha52( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57 { ! alpha52( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( 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 ), alpha52( X, Y, Z ) }.
% 0.97/1.57 { ! alpha21( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.97/1.57 { ! alpha21( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57 , Z ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) ), alpha21( X, Y, Z ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), alpha22( X, Y, Z ), alpha53(
% 0.97/1.57 X, Y, Z ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha22( 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_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha53( 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_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.97/1.57 { ! alpha53( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57 { ! alpha53( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.97/1.57 ) ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) ), alpha53( X, Y, Z ) }.
% 0.97/1.57 { ! alpha22( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.97/1.57 { ! alpha22( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57 , Z ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), Y ), alpha22( X, Y, Z ) }.
% 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_Otimes__class_Otimes( X, Y
% 0.97/1.57 , Y ) ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__ring( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.57 , c_Groups_Otimes__class_Otimes( X, Y, Y ), c_Groups_Ozero__class_Ozero(
% 0.97/1.57 X ) ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.97/1.57 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ), alpha23( X, Y, Z, T ),
% 0.97/1.57 alpha54( X, Y, Z, T ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha23( X, Y, Z, T ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.97/1.57 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha54( X, Y, Z, T ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.97/1.57 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.97/1.57 { ! alpha54( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57 { ! alpha54( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Y, T ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.57 , ! c_Orderings_Oord__class_Oless( X, Y, T ), alpha54( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha23( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.97/1.57 { ! alpha23( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.97/1.57 , ! c_Orderings_Oord__class_Oless( X, T, Y ), alpha23( X, Y, Z, T ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.97/1.57 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ), alpha24( X, Y, Z, T ),
% 0.97/1.57 alpha55( X, Y, Z, T ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha24( X, Y, Z, T ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.97/1.57 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha55( X, Y, Z, T ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.97/1.57 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.97/1.57 { ! alpha55( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57 { ! alpha55( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.57 , ! c_Orderings_Oord__class_Oless( X, Y, Z ), alpha55( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha24( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), T ) }.
% 0.97/1.57 { ! alpha24( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T )
% 0.97/1.57 , ! c_Orderings_Oord__class_Oless( X, Z, Y ), alpha24( X, Y, Z, T ) }.
% 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 ), Y ),
% 0.97/1.57 ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.97/1.57 T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, T, Z ) }.
% 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 ), Y ),
% 0.97/1.57 ! c_Orderings_Oord__class_Oless( X, T, Z ), c_Orderings_Oord__class_Oless
% 0.97/1.57 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.57 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.97/1.57 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.57 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.57 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.97/1.57 Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.57 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.57 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.97/1.57 Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ) }
% 0.97/1.57 .
% 0.97/1.57 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ) }
% 0.97/1.57 .
% 0.97/1.57 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.57 ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.97/1.57 T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.57 ! c_Orderings_Oord__class_Oless( X, Z, T ), c_Orderings_Oord__class_Oless
% 0.97/1.57 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.57 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.97/1.57 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.97/1.57 Z ), 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, 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 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.97/1.57 ( X, c_Groups_Otimes__class_Otimes( X, Z, T ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.97/1.57 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__comm__semiring__strict( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.97/1.57 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57 ( X, T, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.97/1.57 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Z, T ) ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57 ( X, T, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.97/1.57 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, T, Z ) ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, T, Z ), c_Orderings_Oord__class_Oless(
% 0.97/1.57 X, T, c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__semidom( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__semidom( X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.57 c_Groups_Oone__class_Oone( X ) ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.97/1.57 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57 ( X, c_Groups_Oone__class_Oone( X ), 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_Ouminus__class_Ouminus( X, Y ) ),
% 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 , Y, c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57 ( X, c_Groups_Oone__class_Oone( X ), Z ), c_Orderings_Oord__class_Oless(
% 0.97/1.57 X, c_Groups_Oone__class_Oone( X ), c_Groups_Otimes__class_Otimes( X, Y, Z
% 0.97/1.57 ) ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.97/1.57 , Y, c_Groups_Oplus__class_Oplus( X, Y, c_Groups_Oone__class_Oone( X ) )
% 0.97/1.57 ) }.
% 0.97/1.57 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.97/1.57 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.97/1.57 , Y ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ) = Y }.
% 0.97/1.57 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, W, Z
% 0.97/1.57 ), U ), T ) = Y, c_Groups_Oplus__class_Oplus( X,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.97/1.57 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.97/1.57 , Y ) }.
% 0.97/1.57 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.97/1.57 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.97/1.57 , Y ), T = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes
% 0.97/1.57 ( X, c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) }.
% 0.97/1.57 { ! class_Rings_Oring( X ), ! T = c_Groups_Oplus__class_Oplus( X,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, Z, W
% 0.97/1.57 ), U ), Y ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.97/1.57 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.97/1.57 , Y ) }.
% 0.97/1.57 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57 , ! T = c_Rings_Oinverse__class_Odivide( X, Z, Y ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, T, Y ) = Z }.
% 0.97/1.57 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57 , ! c_Groups_Otimes__class_Otimes( X, T, Y ) = Z, T =
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.97/1.57 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57 , ! c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z, T =
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Z, Y ) }.
% 0.97/1.57 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57 , ! T = c_Groups_Otimes__class_Otimes( X, Z, Y ),
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z }.
% 0.97/1.57 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57 , ! T = c_Groups_Otimes__class_Otimes( X, Z, Y ),
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z }.
% 0.97/1.57 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57 , ! c_Groups_Otimes__class_Otimes( X, T, Y ) = Z, T =
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.97/1.57 { ! class_Rings_Oring__1__no__zero__divisors( X ), !
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Y, Y ) = c_Groups_Oone__class_Oone( X )
% 0.97/1.57 , Y = c_Groups_Oone__class_Oone( X ), Y = c_Groups_Ouminus__class_Ouminus
% 0.97/1.57 ( X, c_Groups_Oone__class_Oone( X ) ) }.
% 0.97/1.57 { ! class_Rings_Oring__1__no__zero__divisors( X ), ! Y =
% 0.97/1.57 c_Groups_Oone__class_Oone( X ), c_Groups_Otimes__class_Otimes( X, Y, Y )
% 0.97/1.57 = c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.57 { ! class_Rings_Oring__1__no__zero__divisors( X ), ! Y =
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( X, c_Groups_Oone__class_Oone( X ) ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Y, Y ) = c_Groups_Oone__class_Oone( X )
% 0.97/1.57 }.
% 0.97/1.57 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57 , ! c_Rings_Oinverse__class_Odivide( X, Z, Y ) =
% 0.97/1.57 c_Groups_Oone__class_Oone( X ), Z = Y }.
% 0.97/1.57 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57 , ! Z = Y, c_Rings_Oinverse__class_Odivide( X, Z, Y ) =
% 0.97/1.57 c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.57 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57 , c_Rings_Oinverse__class_Odivide( X, Y, Y ) = c_Groups_Oone__class_Oone
% 0.97/1.57 ( X ) }.
% 0.97/1.57 { ! class_Rings_Odivision__ring__inverse__zero( X ), ! Y =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.97/1.57 Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57 { ! class_Rings_Odivision__ring__inverse__zero( X ), Y =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.97/1.57 Y ) = c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.57 , c_Groups_Oabs__class_Oabs( X, Z ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57 ( X, c_Groups_Oabs__class_Oabs( X, U ), T ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.57 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, U ) ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.97/1.57 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57 , c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.57 , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) =
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.97/1.57 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57 , c_Groups_Ouminus__class_Ouminus( X, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.57 , Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X, Z,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( X, 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_Rings_Oinverse__class_Oinverse
% 0.97/1.57 ( X, c_Groups_Otimes__class_Otimes( X, Y, Z ) ) =
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, c_Rings_Oinverse__class_Oinverse( X, Z
% 0.97/1.57 ), c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.57 , c_Groups_Oabs__class_Oabs( X, Z ), Y ), c_Orderings_Oord__class_Oless(
% 0.97/1.57 X, Z, Y ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.57 , c_Groups_Oabs__class_Oabs( X, Z ), Y ), c_Orderings_Oord__class_Oless(
% 0.97/1.57 X, c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.57 , Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Oabs__class_Oabs( X, Z ), Y )
% 0.97/1.57 }.
% 0.97/1.57 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57 , c_Rings_Oinverse__class_Oinverse( X, c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.57 , Y ) ) = c_Groups_Ouminus__class_Ouminus( X,
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.97/1.57 { ! class_Rings_Odivision__ring( X ), ! c_Groups_Otimes__class_Otimes( X, Z
% 0.97/1.57 , Y ) = c_Groups_Oone__class_Oone( X ), c_Rings_Oinverse__class_Oinverse
% 0.97/1.57 ( X, Z ) = Y }.
% 0.97/1.57 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X, Z
% 0.97/1.57 , Y ) = c_Groups_Otimes__class_Otimes( X, Z,
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( 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 ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ), X =
% 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_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, 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_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z
% 0.97/1.57 ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ), Z = Y }.
% 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 ), ! Z = Y, c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 0.97/1.57 , X, Z ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 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_Nat_Onat,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ) }.
% 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_Nat_Onat, Z, Y
% 0.97/1.57 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.97/1.57 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Oinverse( X,
% 0.97/1.57 Y ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X )
% 0.97/1.57 , Y ) }.
% 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 ), Y ),
% 0.97/1.57 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.97/1.57 , Y, T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 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 ), Y ),
% 0.97/1.57 ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Y
% 0.97/1.57 , T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.57 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.97/1.57 , Y, T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.57 ! c_Orderings_Oord__class_Oless__eq( X, Z, T ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Y
% 0.97/1.57 , T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57 ( X, U, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.97/1.57 ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.97/1.57 , U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57 ( X, U, T ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.97/1.57 ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.97/1.57 , U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.97/1.57 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57 , U ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X
% 0.97/1.57 , Z, U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, U, T ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.97/1.57 ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.97/1.57 , U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__semiring( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Y, Z ) ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.97/1.57 ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.97/1.57 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.97/1.57 ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__semiring( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, T, Y ) ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.97/1.57 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.97/1.57 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.97/1.57 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 0.97/1.57 , Z ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 0.97/1.57 , Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.97/1.57 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.97/1.57 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Oone__class_Oone
% 0.97/1.57 ( X ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Y, Z ), Y ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.97/1.57 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.97/1.57 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Oone__class_Oone
% 0.97/1.57 ( X ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Z, Y ), Y ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__semidom( 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_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ) ) }.
% 0.97/1.57 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.57 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U
% 0.97/1.57 ), T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.97/1.57 , Z, U ), Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ) }.
% 0.97/1.57 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.57 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ),
% 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, W, U ), T ),
% 0.97/1.57 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.97/1.57 , Y ) ) }.
% 0.97/1.57 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.57 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U
% 0.97/1.57 ), T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.97/1.57 , Z, U ), Y ) ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ) }.
% 0.97/1.57 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.57 , T, c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ),
% 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, W, U ), T ),
% 0.97/1.57 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.97/1.57 , Y ) ) }.
% 0.97/1.57 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U )
% 0.97/1.57 , T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.57 Z, U ), Y ) ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ) }.
% 0.97/1.57 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.97/1.57 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.97/1.57 , Y ) ) }.
% 0.97/1.57 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U )
% 0.97/1.57 , T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.57 Z, U ), Y ) ), c_Orderings_Oord__class_Oless( X, T,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ) }.
% 0.97/1.57 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X, T
% 0.97/1.57 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.57 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.97/1.57 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.97/1.57 , Y ) ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.97/1.57 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), c_Groups_Otimes__class_Otimes
% 0.97/1.57 ( X, c_Groups_Oabs__class_Oabs( X, Z ), Y ) = c_Groups_Oabs__class_Oabs(
% 0.97/1.57 X, c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.97/1.57 { ! class_Rings_Oordered__ring__abs( X ), alpha103( X, Z ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.57 ), c_Groups_Oabs__class_Oabs( X, c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.97/1.57 ) ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Oabs__class_Oabs( X, Z
% 0.97/1.57 ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.97/1.57 { ! class_Rings_Oordered__ring__abs( X ), alpha103( X, Z ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57 ), c_Groups_Oabs__class_Oabs( X, c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.97/1.57 ) ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Oabs__class_Oabs( X, Z
% 0.97/1.57 ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.97/1.57 { ! alpha103( X, Y ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.57 { ! alpha103( X, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.57 ), c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero
% 0.97/1.57 ( X ) ), alpha103( X, 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_Oplus__class_Oplus( 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_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( X, Y ), c_Groups_Oplus__class_Oplus( X
% 0.97/1.57 , Y, Z ) ), c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 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_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X,
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( X, Y ), c_Groups_Ominus__class_Ominus(
% 0.97/1.57 X, Z, Y ) ), c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 0.97/1.57 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57 , c_Groups_Otimes__class_Otimes( X, Y, c_Rings_Oinverse__class_Oinverse(
% 0.97/1.57 X, Y ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.57 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57 , c_Groups_Otimes__class_Otimes( X, c_Rings_Oinverse__class_Oinverse( X,
% 0.97/1.57 Y ), Y ) = c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.57 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57 , c_Rings_Oinverse__class_Oinverse( X, Y ) =
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X ), Y ) }
% 0.97/1.57 .
% 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__eq( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ) }.
% 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__eq( tc_Nat_Onat, Z
% 0.97/1.57 , Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( 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_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.57 tc_Nat_Onat, Y, U ), T ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ), T =
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.57 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 0.97/1.57 }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), ! T =
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.57 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 0.97/1.57 , c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 0.97/1.57 ( tc_Nat_Onat, Y, U ), T ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ) }.
% 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_Oplus__class_Oplus(
% 0.97/1.57 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), T ),
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.57 tc_Nat_Onat, X, U ), Z ) ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.97/1.57 T, c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.97/1.57 ( tc_Nat_Onat, X, Y ), U ), 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, c_Groups_Otimes__class_Otimes(
% 0.97/1.57 tc_Nat_Onat, Y, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.57 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 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, T,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.57 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), 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, c_Groups_Otimes__class_Otimes(
% 0.97/1.57 tc_Nat_Onat, Y, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.57 tc_Nat_Onat, X, U ), T ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), Z ),
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.57 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.97/1.57 = Z }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.57 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.97/1.57 = Z, c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), T ) =
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.57 tc_Nat_Onat, Y, U ), Z ) }.
% 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_Oplus__class_Oplus(
% 0.97/1.57 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), T ),
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.57 tc_Nat_Onat, Y, U ), Z ) ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.57 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.97/1.57 , 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, c_Groups_Otimes__class_Otimes(
% 0.97/1.57 tc_Nat_Onat, X, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), 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, c_Groups_Otimes__class_Otimes(
% 0.97/1.57 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.97/1.57 , 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, c_Groups_Otimes__class_Otimes(
% 0.97/1.57 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.97/1.57 , Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.57 tc_Nat_Onat, X, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), Z ) ) }.
% 0.97/1.57 { ! class_Rings_Olinordered__semiring__1( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, T, Y ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.97/1.57 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.97/1.57 X ), W ), ! c_Groups_Oplus__class_Oplus( X, U, W ) =
% 0.97/1.57 c_Groups_Oone__class_Oone( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Z )
% 0.97/1.57 , c_Groups_Otimes__class_Otimes( X, W, T ) ), 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( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.97/1.57 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), T ),
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.57 tc_Nat_Onat, X, U ), Z ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, T
% 0.97/1.57 , c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 0.97/1.57 ( tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z
% 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( tc_Nat_Onat, T,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.57 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 0.97/1.57 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.97/1.57 tc_Nat_Onat, Y, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ) ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.57 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Oone__class_Oone( X ) )
% 0.97/1.57 , c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.97/1.57 ), c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless__eq(
% 0.97/1.57 X, Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless(
% 0.97/1.57 X, c_Groups_Oone__class_Oone( X ), Y ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57 ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X
% 0.97/1.57 , Y ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), Y ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.97/1.57 ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.97/1.57 ( X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( X, Y ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Oone__class_Oone( X ) )
% 0.97/1.57 }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.57 ! c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Oone__class_Oone( X )
% 0.97/1.57 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X )
% 0.97/1.57 , c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.97/1.57 { ! class_Fields_Ofield__inverse__zero( X ), c_Groups_Otimes__class_Otimes
% 0.97/1.57 ( X, c_Rings_Oinverse__class_Odivide( X, U, T ),
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, c_Groups_Otimes__class_Otimes( X, U,
% 0.97/1.57 Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.97/1.57 { ! class_Fields_Ofield__inverse__zero( X ),
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( X, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57 { ! class_Fields_Ofield__inverse__zero( X ),
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.97/1.57 , Y ) ) = c_Rings_Oinverse__class_Odivide( X, Z,
% 0.97/1.57 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.97/1.57 { ! class_Fields_Ofield__inverse__zero( X ),
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X, Z
% 0.97/1.57 ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) =
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.97/1.57 { ! class_Fields_Ofield__inverse__zero( X ),
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.97/1.57 , Y ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( X, Z ),
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.97/1.57 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( X, Y ) = c_Groups_Oone__class_Oone( X )
% 0.97/1.57 , Y = c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.57 { ! class_Fields_Ofield__inverse__zero( X ), ! Y =
% 0.97/1.57 c_Groups_Oone__class_Oone( X ), c_Rings_Oinverse__class_Oinverse( X, Y )
% 0.97/1.57 = c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ),
% 0.97/1.57 c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Odivide( X, Z, Y )
% 0.97/1.57 ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oabs__class_Oabs( X, Z
% 0.97/1.57 ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.97/1.57 { ! class_Fields_Ofield__inverse__zero( X ),
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( X, c_Rings_Oinverse__class_Odivide( X,
% 0.97/1.57 Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X, Y, Z ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ),
% 0.97/1.57 c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Oinverse( X, Y ) )
% 0.97/1.57 = c_Rings_Oinverse__class_Oinverse( X, c_Groups_Oabs__class_Oabs( X, Y )
% 0.97/1.57 ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.97/1.57 ( X, Y, T ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.97/1.57 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.97/1.57 ( X, Z, T ), c_Rings_Oinverse__class_Odivide( X, Y, T ) ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.57 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha25( X, Y, Z ), alpha56
% 0.97/1.57 ( X, Y, Z ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha25( X, Y, Z
% 0.97/1.57 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.97/1.57 ( X, Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha56( X, Y, Z
% 0.97/1.57 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.97/1.57 ( X, Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57 { ! alpha56( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57 { ! alpha56( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( 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 ), alpha56( X, Y, Z ) }.
% 0.97/1.57 { ! alpha25( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.97/1.57 { ! alpha25( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57 , Z ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) ), alpha25( X, Y, Z ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ), alpha26( X, Y, Z ), alpha57
% 0.97/1.57 ( X, Y, Z ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha26( 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_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha57( 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_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.57 { ! alpha57( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57 { ! alpha57( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.97/1.57 ) ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) ), alpha57( X, Y, Z ) }.
% 0.97/1.57 { ! alpha26( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.97/1.57 { ! alpha26( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57 , Z ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), Y ), alpha26( X, Y, Z ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ), alpha27( X, Y, Z ), alpha58
% 0.97/1.57 ( X, Y, Z ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha27( X, Y, Z
% 0.97/1.57 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha58( X, Y, Z
% 0.97/1.57 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.57 { ! alpha58( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57 { ! alpha58( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.97/1.57 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 , ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57 ), alpha58( X, Y, Z ) }.
% 0.97/1.57 { ! alpha27( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.97/1.57 { ! alpha27( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.97/1.57 , ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.57 ), alpha27( X, Y, Z ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Z,
% 0.97/1.57 Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha28( X, Y, Z ), alpha59( X,
% 0.97/1.57 Y, Z ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha28( X, Y, Z
% 0.97/1.57 ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.57 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha59( X, Y, Z
% 0.97/1.57 ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.57 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57 { ! alpha59( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57 { ! alpha59( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.57 , ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.57 ), alpha59( X, Y, Z ) }.
% 0.97/1.57 { ! alpha28( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.97/1.57 { ! alpha28( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.97/1.57 , ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57 ), alpha28( X, Y, Z ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.57 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless
% 0.97/1.57 ( X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X
% 0.97/1.57 , Y, Z ) ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.57 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57 ( X, Z, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.97/1.57 ( X, c_Rings_Oinverse__class_Odivide( X, Y, Z ),
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.57 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless
% 0.97/1.57 ( X, c_Rings_Oinverse__class_Odivide( X, Y, Z ),
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.57 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57 ( X, Z, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.97/1.57 ( X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X
% 0.97/1.57 , Y, Z ) ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.57 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, Z, T ),
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, Y, T ) ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.57 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, Y, T ),
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.97/1.57 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), ! c_Rings_Oinverse__class_Odivide( X, U
% 0.97/1.57 , Y ) = c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, U, Z ) = c_Groups_Otimes__class_Otimes
% 0.97/1.57 ( X, T, Y ) }.
% 0.97/1.57 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), ! c_Groups_Otimes__class_Otimes( X, U,
% 0.97/1.57 Z ) = c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, U, Y ) =
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.97/1.57 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Y, T ), c_Groups_Otimes__class_Otimes(
% 0.97/1.57 X, Y, Z ) ) = c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.97/1.57 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, T, Y ), c_Groups_Otimes__class_Otimes(
% 0.97/1.57 X, Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.97/1.57 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y, alpha60( X, Y, Z, T ) }.
% 0.97/1.57 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y, alpha29( X, Y, Z ) }.
% 0.97/1.57 { ! class_Fields_Ofield__inverse__zero( X ), ! alpha60( X, Y, Z, T ), !
% 0.97/1.57 alpha29( X, Y, Z ), c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y }.
% 0.97/1.57 { ! alpha60( X, Y, Z, T ), Z = c_Groups_Ozero__class_Ozero( X ), T =
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Y, Z ) }.
% 0.97/1.57 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha60( X, Y, Z, T ) }.
% 0.97/1.57 { ! T = c_Groups_Otimes__class_Otimes( X, Y, Z ), alpha60( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha29( X, Y, Z ), ! Z = c_Groups_Ozero__class_Ozero( X ), Y =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57 { Z = c_Groups_Ozero__class_Ozero( X ), alpha29( X, Y, Z ) }.
% 0.97/1.57 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha29( X, Y, Z ) }.
% 0.97/1.57 { ! class_Fields_Ofield__inverse__zero( X ), ! T =
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha61( X, Y, Z, T ) }.
% 0.97/1.57 { ! class_Fields_Ofield__inverse__zero( X ), ! T =
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha30( X, Y, T ) }.
% 0.97/1.57 { ! class_Fields_Ofield__inverse__zero( X ), ! alpha61( X, Y, Z, T ), !
% 0.97/1.57 alpha30( X, Y, T ), T = c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.97/1.57 { ! alpha61( X, Y, Z, T ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, T, Y ) = Z }.
% 0.97/1.57 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha61( X, Y, Z, T ) }.
% 0.97/1.57 { ! c_Groups_Otimes__class_Otimes( X, T, Y ) = Z, alpha61( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha30( X, Y, Z ), ! Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57 { Y = c_Groups_Ozero__class_Ozero( X ), alpha30( X, Y, Z ) }.
% 0.97/1.57 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha30( X, Y, Z ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse( X
% 0.97/1.57 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57 ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57 ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.57 ) ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( X, Y ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.57 ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.57 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.97/1.57 ), c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.57 X, c_Rings_Oinverse__class_Oinverse( X, Z ),
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( X, Y ) ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.57 X, c_Rings_Oinverse__class_Oinverse( X, Z ),
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( X, Y ) ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.57 X, c_Rings_Oinverse__class_Oinverse( X, Y ), c_Groups_Ozero__class_Ozero
% 0.97/1.57 ( X ) ), 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_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.57 X, Z, Y ), ! 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_Rings_Oinverse__class_Oinverse( X, Y ),
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.57 X, Z, Y ), ! 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 c_Rings_Oinverse__class_Oinverse( X, Y ),
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.57 X, Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless(
% 0.97/1.57 X, c_Rings_Oinverse__class_Oinverse( X, Y ), c_Groups_Ozero__class_Ozero
% 0.97/1.57 ( X ) ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.57 X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Oinverse( X
% 0.97/1.57 , Y ) ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ) }
% 0.97/1.57 .
% 0.97/1.57 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.57 X, c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless(
% 0.97/1.57 X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Oinverse( X
% 0.97/1.57 , Y ) ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.97/1.57 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.97/1.57 , Y, c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 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 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.97/1.57 ( X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.57 c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.97/1.57 X ), c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.97/1.57 , Y ) ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oabs__class_Oabs(
% 0.97/1.57 X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.97/1.57 { ! class_Fields_Ofield( X ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) =
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, Z, c_Rings_Oinverse__class_Oinverse( X
% 0.97/1.57 , Y ) ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.97/1.57 X ), c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.97/1.57 ) ) = c_Rings_Oinverse__class_Oinverse( X, c_Groups_Oabs__class_Oabs( X
% 0.97/1.57 , Y ) ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.57 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57 , Z ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.97/1.57 ( X ), c_Rings_Oinverse__class_Odivide( X, Y, Z ) ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.57 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.97/1.57 ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 0.97/1.57 X ) ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.57 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, Y, Z ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.97/1.57 ! c_Orderings_Oord__class_Oless( X, T, U ), c_Orderings_Oord__class_Oless
% 0.97/1.57 ( X, c_Rings_Oinverse__class_Odivide( X, Y, U ),
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.57 ), ! c_Orderings_Oord__class_Oless( X, Y, Z ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.97/1.57 ! c_Orderings_Oord__class_Oless__eq( X, T, U ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Y,
% 0.97/1.57 U ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.57 ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.97/1.57 ! c_Orderings_Oord__class_Oless__eq( X, T, U ),
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.57 , Y, U ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( X, Y, 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 , Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 0.97/1.57 X ) ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless__eq( 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 ) ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.97/1.57 X ), c_Rings_Oinverse__class_Odivide( X, Y, Z ) ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.97/1.57 Z, Y ) ), alpha62( X, Y, Z, T ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.97/1.57 Z, Y ) ), alpha74( X, Y, Z, T ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha62( X, Y, Z
% 0.97/1.57 , T ), ! alpha74( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T,
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.57 { ! alpha74( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), Y ), alpha86( 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 , alpha74( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha86( X, Y, Z, T ), alpha74( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha86( X, Y, Z, T ), alpha98( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha86( X, Y, Z, T ), alpha31( X, Y, T ) }.
% 0.97/1.57 { ! alpha98( X, Y, Z, T ), ! alpha31( X, Y, T ), alpha86( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha98( 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, T, Y ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.57 alpha98( 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, Y ) ), alpha98( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha62( 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, T, Y ), Z ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.57 alpha62( 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 Y ), Z ), alpha62( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha31( 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, Z,
% 0.97/1.57 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 , alpha31( X, Y, Z ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.57 , alpha31( X, Y, Z ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.97/1.57 Z ), Y ), alpha63( X, Y, Z, T ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.97/1.57 Z ), Y ), alpha75( X, Y, Z, T ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha63( X, Y, Z
% 0.97/1.57 , T ), ! alpha75( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, T, Z ), Y ) }.
% 0.97/1.57 { ! alpha75( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), Z ), alpha87( 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 , alpha75( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha87( X, Y, Z, T ), alpha75( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha87( X, Y, Z, T ), alpha99( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha87( X, Y, Z, T ), alpha32( X, Y, Z ) }.
% 0.97/1.57 { ! alpha99( X, Y, Z, T ), ! alpha32( X, Y, Z ), alpha87( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha99( 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, Y, Z ), T ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.57 alpha99( 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 Z ), T ), alpha99( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha63( 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, Y, Z ) ) }.
% 0.97/1.57 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.97/1.57 alpha63( 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, Z ) ), alpha63( X, Y, Z, T ) }.
% 0.97/1.57 { ! alpha32( 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 ), Y ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.57 , alpha32( X, Y, Z ) }.
% 0.97/1.57 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.97/1.57 , alpha32( X, Y, Z ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.57 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57 ( X, T, c_Rings_Oinverse__class_Odivide( X, Z, Y ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Y
% 0.97/1.57 ), Z ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.57 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ), Z ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.97/1.57 Z, Y ) ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.57 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57 ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.97/1.57 , Y ) ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.57 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57 ( X, T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.97/1.57 Y ), Z ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.57 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57 ( X, T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.97/1.57 Y ), Z ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.57 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ), Z ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.97/1.57 Z, Y ) ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.57 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57 ( X, T, c_Rings_Oinverse__class_Odivide( X, Z, Y ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X, T
% 0.97/1.57 , Y ) ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.57 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57 ( X, Z, c_Groups_Otimes__class_Otimes( X, T, Y ) ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.97/1.57 Z, Y ) ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.57 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57 ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.97/1.57 ), T ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.57 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57 ( X, c_Groups_Otimes__class_Otimes( X, Z, Y ), T ),
% 0.97/1.57 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.97/1.57 Y ), Z ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.57 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), T ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.57 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.97/1.57 Z ) ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide
% 0.97/1.57 ( X, T, Y ), c_Rings_Oinverse__class_Odivide( X, T, Z ) ) }.
% 0.97/1.57 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.97/1.57 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, T,
% 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_Otimes__class_Otimes( X, Z, Y
% 0.97/1.57 ) ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide(
% 0.97/1.57 X, T, Z ), c_Rings_Oinverse__class_Odivide( X, T, Y ) ) }.
% 0.97/1.57 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.97/1.57 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, T,
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.97/1.57 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.97/1.57 c_Groups_Otimes__class_Otimes( X, T, Y ) ), Y ) }.
% 0.97/1.57 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.57 c_Groups_Oplus__class_Oplus( X, T, c_Rings_Oinverse__class_Odivide( X, Z
% 0.97/1.57 , Y ) ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus
% 0.97/1.57 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ), Z ), Y ) }.
% 0.97/1.57 { ! 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, 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( 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_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_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, 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, 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_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_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 ), 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_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( 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__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_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_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_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_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 ) ), 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, T, c_Rings_Oinverse__class_Odivide
% 0.97/1.58 ( X, 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, T,
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, 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 ), Y ), alpha88( 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 , 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, T ) }.
% 0.97/1.58 { ! alpha100( X, Y, Z, T ), ! alpha33( X, Y, T ), alpha88( X, Y, Z, T ) }.
% 0.97/1.58 { ! alpha100( 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 alpha100( 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 ) ), 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 ), 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 alpha64( 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 ), alpha64( X, Y, Z, T ) }.
% 0.97/1.58 { ! alpha33( 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 , alpha33( 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 ) ), 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, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.58 , T, 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, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.58 , T, 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,
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( X, T, 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 ), Z ), alpha89( 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 , 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, Z ) }.
% 0.97/1.58 { ! alpha101( X, Y, Z, T ), ! alpha34( X, Y, Z ), alpha89( X, Y, Z, T ) }.
% 0.97/1.58 { ! alpha101( 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 alpha101( 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 ), 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 ), 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 alpha65( 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 ) ), alpha65( X, Y, Z, T ) }.
% 0.97/1.58 { ! alpha34( 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 , alpha34( 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 ), alpha34( X, 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( 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_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_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, 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, 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 ), !
% 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__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 { 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, Z, Y ) ), c_Groups_Oplus__class_Oplus(
% 0.97/1.58 X, c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) )
% 0.97/1.58 ) }.
% 0.97/1.58 { ! class_Groups_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_Ocancel__semigroup__add( X ), !
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, Z, T ) = c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 Y, T ), Z = Y }.
% 0.97/1.58 { ! class_Groups_Ocancel__ab__semigroup__add( X ), !
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 T, Y ), Z = Y }.
% 0.97/1.58 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 T, Y ), Z = Y }.
% 0.97/1.58 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 Y, Z ), T = Y }.
% 0.97/1.58 { ! class_Groups_Ocancel__semigroup__add( X ), ! T = Y,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 Y, Z ) }.
% 0.97/1.58 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 T, Y ), Z = Y }.
% 0.97/1.58 { ! class_Groups_Ocancel__semigroup__add( X ), ! Z = Y,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 T, Y ) }.
% 0.97/1.58 { ! class_Groups_Oab__semigroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.97/1.58 ( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y ) ) }.
% 0.97/1.58 { ! class_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, 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_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 ), ! 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,
% 0.97/1.58 c_Groups_Ouminus__class_Ouminus( X, Y ) ) = 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_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_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_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_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_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_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.97/1.58 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.97/1.58 T ), c_Groups_Oplus__class_Oplus( X, Y, T ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.97/1.58 U ), c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.97/1.58 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.97/1.58 T ), c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.97/1.58 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.97/1.58 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.97/1.58 Z ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.97/1.58 Z ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.97/1.58 , c_Groups_Oplus__class_Oplus( X, T, Y ) ), c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, Z, Y ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Z, T )
% 0.97/1.58 , c_Groups_Oplus__class_Oplus( X, Y, T ) ), c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, Z, Y ) }.
% 0.97/1.58 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, U, T ), c_Orderings_Oord__class_Oless( X,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, Z, U ), c_Groups_Oplus__class_Oplus( X, Y
% 0.97/1.58 , T ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.97/1.58 , T, Y ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Groups_Oplus__class_Oplus( X, Z, T ), c_Groups_Oplus__class_Oplus( X
% 0.97/1.58 , Y, T ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.97/1.58 , c_Groups_Oplus__class_Oplus( X, T, Y ) ), c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, Z, Y ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.97/1.58 , T, Y ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.97/1.58 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ), c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, T, Y ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, T, Y ), c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.97/1.58 , Y, Z ) ) }.
% 0.97/1.58 { ! class_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_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, Y, Y )
% 0.97/1.58 = c_Groups_Ozero__class_Ozero( X ) }.
% 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_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_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_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 ), ! 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_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_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_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_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 , c_Groups_Oone__class_Oone( X ), Y ) = 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_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_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, 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, 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_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, Z, Y ), Y ) = Z }.
% 0.97/1.58 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, Z, Y ), Y ) = Z }.
% 0.97/1.58 { ! class_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_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, 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_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_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_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_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_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, 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_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_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.97/1.58 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Oabs__class_Oabs( X, Y
% 0.97/1.58 ) ) }.
% 0.97/1.58 { ! class_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_Olinordered__ab__group__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, Y, 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_Groups_Olinordered__ab__group__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( X
% 0.97/1.58 ), c_Groups_Oplus__class_Oplus( X, Y, Y ) ) }.
% 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
% 0.97/1.58 , Y, Y ), 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_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, 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, 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, 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( 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_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( 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_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.97/1.58 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.97/1.58 , c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Y
% 0.97/1.58 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58 { ! class_Groups_Olinordered__ab__group__add( 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_Oplus__class_Oplus( X, Y, Y )
% 0.97/1.58 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, Y, Y ) ), c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.58 { ! class_Groups_Olinordered__ab__group__add( 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_Groups_Oplus__class_Oplus( X, Y, Y ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, U, T ), c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Groups_Oplus__class_Oplus( X, Z, U ), c_Groups_Oplus__class_Oplus( X
% 0.97/1.58 , Y, T ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Z, U )
% 0.97/1.58 , c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.97/1.58 { ! class_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_Ominus__class_Ominus( X, Z
% 0.97/1.58 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X, Z
% 0.97/1.58 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 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_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.97/1.58 X, c_Groups_Ominus__class_Ominus( X, Z, Y ), c_Groups_Ozero__class_Ozero
% 0.97/1.58 ( X ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ominus__class_Ominus( X, Z, Y
% 0.97/1.58 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.97/1.58 , 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_Ozero__class_Ozero( X ),
% 0.97/1.58 c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 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_Oordered__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_Ozero__class_Ozero( X
% 0.97/1.58 ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 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_Ouminus__class_Ouminus
% 0.97/1.58 ( X, Y ) ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ) }.
% 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, Y,
% 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 , Y ), 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 ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__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_Ouminus__class_Ouminus
% 0.97/1.58 ( X, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58 { ! class_Groups_Olinordered__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 ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.58 { ! class_Groups_Olinordered__ab__group__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_Ouminus__class_Ouminus
% 0.97/1.58 ( X, Y ), Y ) }.
% 0.97/1.58 { ! class_Groups_Olinordered__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 , Y ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 , Y ) }.
% 0.97/1.58 { ! class_Groups_Olinordered__ab__group__add( 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_Ouminus__class_Ouminus( X, Y )
% 0.97/1.58 , 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, Y )
% 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 { ! class_Groups_Oordered__ab__group__add( 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_Ouminus__class_Ouminus( X, Y )
% 0.97/1.58 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.58 c_Groups_Ouminus__class_Ouminus( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.97/1.58 ( X, Y, c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add( 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 ),
% 0.97/1.58 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.97/1.58 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Oplus__class_Oplus( X, Z, Y )
% 0.97/1.58 = c_Groups_Ozero__class_Ozero( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.97/1.58 Z ) = Y }.
% 0.97/1.58 { ! class_Groups_Oab__group__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Groups_Ouminus__class_Ouminus( X, Y ), Y ) =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) }.
% 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, Y ), Y ) =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58 { ! class_Groups_Ogroup__add( X ), ! Z = c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.58 , Y ), c_Groups_Oplus__class_Oplus( X, Z, Y ) =
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Oplus__class_Oplus( X, Z, Y )
% 0.97/1.58 = c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ouminus__class_Ouminus
% 0.97/1.58 ( X, Y ) }.
% 0.97/1.58 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X, Y,
% 0.97/1.58 c_Groups_Ouminus__class_Ouminus( X, Y ) ) = c_Groups_Ozero__class_Ozero(
% 0.97/1.58 X ) }.
% 0.97/1.58 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ouminus__class_Ouminus(
% 0.97/1.58 X, Y ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 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_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( 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_Oordered__ab__group__add__abs( 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_Oabs__class_Oabs( X, Y ), 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, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.58 ), c_Groups_Oabs__class_Oabs( X, Y ) = Y }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.97/1.58 c_Groups_Oabs__class_Oabs( X, Y ) = Y }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.97/1.58 c_Groups_Oabs__class_Oabs( X, Y ) ), ! Y = c_Groups_Ozero__class_Ozero( X
% 0.97/1.58 ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ), Y =
% 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_Oabs__class_Oabs( X, Y ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Oabs__class_Oabs( X, Y ),
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Z,
% 0.97/1.58 c_Groups_Ouminus__class_Ouminus( X, Y ) ) = c_Groups_Oplus__class_Oplus(
% 0.97/1.58 X, Z, Y ) }.
% 0.97/1.58 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus( X, Z
% 0.97/1.58 , Y ) = c_Groups_Oplus__class_Oplus( X, Z,
% 0.97/1.58 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.97/1.58 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Z, Y )
% 0.97/1.58 = c_Groups_Oplus__class_Oplus( X, Z, c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.58 , Y ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, Z, Y ) ), c_Groups_Oplus__class_Oplus( X
% 0.97/1.58 , c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) )
% 0.97/1.58 ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X,
% 0.97/1.58 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ),
% 0.97/1.58 c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Y, Z ) )
% 0.97/1.58 ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X,
% 0.97/1.58 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ),
% 0.97/1.58 c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Z, Y ) )
% 0.97/1.58 ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.97/1.58 c_Groups_Oabs__class_Oabs( X, Y ) ) ), c_Groups_Oabs__class_Oabs( X,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) ) }.
% 0.97/1.58 { ! 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,
% 0.97/1.58 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 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_Oabs__class_Oabs( X, Z ), Y ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.97/1.58 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.97/1.58 Y ), 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__abs( 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 , Z ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.97/1.58 c_Groups_Oabs__class_Oabs( X, Z ), Y ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.58 , Y ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.97/1.58 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.97/1.58 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.97/1.58 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ),
% 0.97/1.58 c_RealVector_Onorm__class_Onorm( 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( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.97/1.58 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.97/1.58 , Z ), 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( X, 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( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.97/1.58 , Z ), 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( X, T, Z ),
% 0.97/1.58 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.97/1.58 ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__comm__monoid__add( 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( X, T, c_Groups_Oplus__class_Oplus( X, Y, Z
% 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( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.97/1.58 { ! class_Groups_Oordered__comm__monoid__add( 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_Ozero__class_Ozero( X )
% 0.97/1.58 , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 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_Ozero__class_Ozero( X )
% 0.97/1.58 ), c_Groups_Oabs__class_Oabs( X, Y ) = c_Groups_Ouminus__class_Ouminus(
% 0.97/1.58 X, Y ) }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.58 , c_Groups_Oabs__class_Oabs( X, Y ) ), c_Groups_Ozero__class_Ozero( X ) )
% 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( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.97/1.58 c_Groups_Oabs__class_Oabs( X, Y ) = c_Groups_Ouminus__class_Ouminus( X, Y
% 0.97/1.58 ) }.
% 0.97/1.58 { ! class_Groups_Oabs__if( X ), ! c_Orderings_Oord__class_Oless( 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_Ouminus__class_Ouminus( X, Y ) }.
% 0.97/1.58 { ! class_Groups_Oabs__if( X ), c_Orderings_Oord__class_Oless( X, Y,
% 0.97/1.58 c_Groups_Ozero__class_Ozero( X ) ), c_Groups_Oabs__class_Oabs( X, Y ) = Y
% 0.97/1.58 }.
% 0.97/1.58 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 0.97/1.58 c_Groups_Ominus__class_Ominus( X, 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 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, skol28, X ),
% 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, v_g____( hAPP(
% 0.97/1.58 v_f____, X ) ), v_z____ ) ), v_d____ ) }.
% 0.97/1.58 { ! class_Fields_Ofield( X ), 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 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.97/1.58 X, Z, Y ) ) = c_Groups_Otimes__class_Otimes( 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 ) ) }.
% 0.97/1.58 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.97/1.58 X, Z, Y ) ) = c_Groups_Otimes__class_Otimes( X, Z,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, U, T
% 0.97/1.58 ), Y ) ) }.
% 0.97/1.58 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.97/1.58 X, Z, Y ) ) = c_Groups_Otimes__class_Otimes( X, U,
% 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_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, T, Y
% 0.97/1.58 ), Z ) }.
% 0.97/1.58 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 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_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.97/1.58 ), Y ) }.
% 0.97/1.58 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.97/1.58 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Otimes__class_Otimes( X, T
% 0.97/1.58 , Y ) ) }.
% 0.97/1.58 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 Z, Y ) = c_Groups_Otimes__class_Otimes( X, Y, Z ) }.
% 0.97/1.58 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Z
% 0.97/1.58 , Y ) = c_Groups_Oplus__class_Oplus( X, Y, Z ) }.
% 0.97/1.58 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, T
% 0.97/1.58 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.97/1.58 ( X, Z, c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.97/1.58 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, 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_Oplus__class_Oplus( X, T, Z ), Y ) }.
% 0.97/1.58 { ! class_Rings_Ocomm__semiring__1( 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_Rings_Ocomm__semiring__1( 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, c_Groups_Oplus__class_Oplus( X, T, Y ), Z ) }.
% 0.97/1.58 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.97/1.58 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.97/1.58 , Y ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X
% 0.97/1.58 , U, Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.97/1.58 { ! class_Rings_Ocomm__semiring__1( 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_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.97/1.58 Y, c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58 }.
% 0.97/1.58 { ! class_Rings_Ocomm__semiring__1( 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_Oordered__cancel__ab__semigroup__add( tc_Int_Oint ) }.
% 0.97/1.58 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Int_Oint ) }.
% 0.97/1.58 { class_Rings_Olinordered__comm__semiring__strict( tc_Int_Oint ) }.
% 0.97/1.58 { class_Rings_Olinordered__semiring__1__strict( tc_Int_Oint ) }.
% 0.97/1.58 { class_Rings_Olinordered__semiring__strict( tc_Int_Oint ) }.
% 0.97/1.58 { class_Groups_Oordered__ab__semigroup__add( tc_Int_Oint ) }.
% 0.97/1.58 { class_Groups_Oordered__ab__group__add__abs( tc_Int_Oint ) }.
% 0.97/1.58 { class_Groups_Oordered__comm__monoid__add( tc_Int_Oint ) }.
% 0.97/1.58 { class_Groups_Olinordered__ab__group__add( tc_Int_Oint ) }.
% 0.97/1.58 { class_Groups_Ocancel__ab__semigroup__add( tc_Int_Oint ) }.
% 0.97/1.58 { class_Rings_Oring__1__no__zero__divisors( tc_Int_Oint ) }.
% 0.97/1.58 { class_Rings_Oordered__cancel__semiring( tc_Int_Oint ) }.
% 0.97/1.58 { class_Rings_Olinordered__ring__strict( tc_Int_Oint ) }.
% 0.97/1.58 { class_Rings_Oring__no__zero__divisors( tc_Int_Oint ) }.
% 0.97/1.58 { class_Rings_Oordered__comm__semiring( tc_Int_Oint ) }.
% 0.97/1.58 { class_Rings_Olinordered__semiring__1( tc_Int_Oint ) }.
% 0.97/1.58 { class_Groups_Oordered__ab__group__add( tc_Int_Oint ) }.
% 0.97/1.58 { class_Groups_Ocancel__semigroup__add( tc_Int_Oint ) }.
% 0.97/1.58 { class_Rings_Olinordered__semiring( tc_Int_Oint ) }.
% 0.97/1.58 { class_Rings_Olinordered__semidom( tc_Int_Oint ) }.
% 0.97/1.58 { class_Groups_Oab__semigroup__mult( tc_Int_Oint ) }.
% 0.97/1.58 { class_Groups_Ocomm__monoid__mult( tc_Int_Oint ) }.
% 0.97/1.58 { class_Groups_Oab__semigroup__add( tc_Int_Oint ) }.
% 0.97/1.58 { class_Rings_Oordered__semiring( tc_Int_Oint ) }.
% 0.97/1.58 { class_Rings_Oordered__ring__abs( tc_Int_Oint ) }.
% 0.97/1.58 { class_Rings_Ono__zero__divisors( tc_Int_Oint ) }.
% 0.97/1.58 { class_Groups_Ocomm__monoid__add( tc_Int_Oint ) }.
% 0.97/1.58 { class_Rings_Olinordered__ring( tc_Int_Oint ) }.
% 0.97/1.58 { class_Rings_Olinordered__idom( tc_Int_Oint ) }.
% 0.97/1.58 { class_Rings_Ocomm__semiring__1( tc_Int_Oint ) }.
% 0.97/1.58 { class_Rings_Ocomm__semiring( tc_Int_Oint ) }.
% 0.97/1.58 { class_Groups_Oab__group__add( tc_Int_Oint ) }.
% 0.97/1.58 { class_Rings_Ozero__neq__one( tc_Int_Oint ) }.
% 0.97/1.58 { class_Rings_Oordered__ring( tc_Int_Oint ) }.
% 0.97/1.58 { class_Orderings_Olinorder( tc_Int_Oint ) }.
% 0.97/1.58 { class_Groups_Omonoid__mult( tc_Int_Oint ) }.
% 0.97/1.58 { class_Groups_Omonoid__add( tc_Int_Oint ) }.
% 0.97/1.58 { class_Groups_Ogroup__add( tc_Int_Oint ) }.
% 0.97/1.58 { class_Rings_Omult__zero( tc_Int_Oint ) }.
% 0.97/1.58 { class_Int_Oring__char__0( tc_Int_Oint ) }.
% 0.97/1.58 { class_Int_Onumber__ring( tc_Int_Oint ) }.
% 0.97/1.58 { class_Rings_Osemiring( tc_Int_Oint ) }.
% 0.97/1.58 { class_Groups_Oabs__if( tc_Int_Oint ) }.
% 0.97/1.58 { class_Rings_Oring__1( tc_Int_Oint ) }.
% 0.97/1.58 { class_Groups_Ozero( tc_Int_Oint ) }.
% 0.97/1.58 { class_Rings_Oring( tc_Int_Oint ) }.
% 0.97/1.58 { class_Rings_Oidom( tc_Int_Oint ) }.
% 0.97/1.58 { class_Int_Onumber( tc_Int_Oint ) }.
% 0.97/1.58 { class_Groups_Oone( tc_Int_Oint ) }.
% 0.97/1.58 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.97/1.58 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Nat_Onat ) }.
% 0.97/1.58 { class_Rings_Olinordered__comm__semiring__strict( tc_Nat_Onat ) }.
% 0.97/1.58 { class_Rings_Olinordered__semiring__strict( tc_Nat_Onat ) }.
% 0.97/1.58 { class_Groups_Oordered__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.97/1.58 { class_Groups_Oordered__comm__monoid__add( tc_Nat_Onat ) }.
% 0.97/1.58 { class_Groups_Ocancel__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.97/1.58 { class_Rings_Oordered__cancel__semiring( tc_Nat_Onat ) }.
% 0.97/1.58 { class_Rings_Oordered__comm__semiring( tc_Nat_Onat ) }.
% 0.97/1.58 { class_Groups_Ocancel__semigroup__add( tc_Nat_Onat ) }.
% 0.97/1.58 { class_Rings_Olinordered__semiring( tc_Nat_Onat ) }.
% 0.97/1.58 { class_Rings_Olinordered__semidom( tc_Nat_Onat ) }.
% 0.97/1.58 { class_Groups_Oab__semigroup__mult( tc_Nat_Onat ) }.
% 0.97/1.58 { class_Groups_Ocomm__monoid__mult( tc_Nat_Onat ) }.
% 0.97/1.58 { class_Groups_Oab__semigroup__add( tc_Nat_Onat ) }.
% 0.97/1.58 { class_Rings_Oordered__semiring( tc_Nat_Onat ) }.
% 0.97/1.58 { class_Rings_Ono__zero__divisors( tc_Nat_Onat ) }.
% 0.97/1.58 { class_Groups_Ocomm__monoid__add( tc_Nat_Onat ) }.
% 0.97/1.58 { class_Rings_Ocomm__semiring__1( tc_Nat_Onat ) }.
% 0.97/1.58 { class_Rings_Ocomm__semiring( tc_Nat_Onat ) }.
% 0.97/1.58 { class_Rings_Ozero__neq__one( tc_Nat_Onat ) }.
% 0.97/1.58 { class_Orderings_Olinorder( tc_Nat_Onat ) }.
% 0.97/1.58 { class_Groups_Omonoid__mult( tc_Nat_Onat ) }.
% 0.97/1.58 { class_Groups_Omonoid__add( tc_Nat_Onat ) }.
% 0.97/1.58 { class_Rings_Omult__zero( tc_Nat_Onat ) }.
% 0.97/1.58 { class_Rings_Osemiring( tc_Nat_Onat ) }.
% 0.97/1.58 { class_Groups_Ozero( tc_Nat_Onat ) }.
% 0.97/1.58 { class_Int_Onumber( tc_Nat_Onat ) }.
% 0.97/1.58 { class_Groups_Oone( tc_Nat_Onat ) }.
% 0.97/1.58 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_RealDef_Oreal ) }
% 0.97/1.58 .
% 0.97/1.58 { class_Rings_Olinordered__comm__semiring__strict( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Fields_Olinordered__field__inverse__zero( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Rings_Olinordered__semiring__1__strict( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_RealVector_Oreal__normed__div__algebra( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Rings_Olinordered__semiring__strict( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Rings_Odivision__ring__inverse__zero( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_RealVector_Oreal__normed__algebra__1( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Groups_Oordered__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Groups_Oordered__ab__group__add__abs( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_RealVector_Oreal__normed__algebra( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Groups_Oordered__comm__monoid__add( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Groups_Olinordered__ab__group__add( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Groups_Ocancel__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Rings_Oring__1__no__zero__divisors( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Rings_Oordered__cancel__semiring( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_RealVector_Oreal__normed__vector( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Rings_Olinordered__ring__strict( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_RealVector_Oreal__normed__field( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Rings_Oring__no__zero__divisors( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Rings_Oordered__comm__semiring( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Rings_Olinordered__semiring__1( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Groups_Oordered__ab__group__add( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Groups_Ocancel__semigroup__add( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Rings_Olinordered__semiring( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Fields_Ofield__inverse__zero( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Rings_Olinordered__semidom( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Groups_Oab__semigroup__mult( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Groups_Ocomm__monoid__mult( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Groups_Oab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Fields_Olinordered__field( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Rings_Oordered__semiring( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Rings_Oordered__ring__abs( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Rings_Ono__zero__divisors( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Groups_Ocomm__monoid__add( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Rings_Olinordered__ring( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Rings_Olinordered__idom( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Rings_Ocomm__semiring__1( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_RealVector_Oreal__field( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Rings_Odivision__ring( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Rings_Ocomm__semiring( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Groups_Oab__group__add( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Rings_Ozero__neq__one( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Rings_Oordered__ring( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Orderings_Olinorder( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Groups_Omonoid__mult( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Groups_Omonoid__add( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Groups_Ogroup__add( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Rings_Omult__zero( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Int_Oring__char__0( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Int_Onumber__ring( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Rings_Osemiring( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Groups_Oabs__if( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Rings_Oring__1( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Fields_Ofield( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Groups_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Rings_Oring( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Rings_Oidom( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Int_Onumber( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_Groups_Oone( tc_RealDef_Oreal ) }.
% 0.97/1.58 { class_RealVector_Oreal__normed__div__algebra( tc_Complex_Ocomplex ) }.
% 0.97/1.58 { class_Rings_Odivision__ring__inverse__zero( tc_Complex_Ocomplex ) }.
% 0.97/1.58 { class_RealVector_Oreal__normed__algebra__1( tc_Complex_Ocomplex ) }.
% 0.97/1.58 { class_RealVector_Oreal__normed__algebra( tc_Complex_Ocomplex ) }.
% 0.97/1.58 { class_Groups_Ocancel__ab__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.97/1.58 { class_Rings_Oring__1__no__zero__divisors( tc_Complex_Ocomplex ) }.
% 0.97/1.58 { class_RealVector_Oreal__normed__vector( tc_Complex_Ocomplex ) }.
% 0.97/1.58 { class_RealVector_Oreal__normed__field( tc_Complex_Ocomplex ) }.
% 0.97/1.58 { class_Rings_Oring__no__zero__divisors( tc_Complex_Ocomplex ) }.
% 0.97/1.58 { class_Groups_Ocancel__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.97/1.58 { class_Fields_Ofield__inverse__zero( tc_Complex_Ocomplex ) }.
% 0.97/1.58 { class_Groups_Oab__semigroup__mult( tc_Complex_Ocomplex ) }.
% 0.97/1.58 { class_Groups_Ocomm__monoid__mult( tc_Complex_Ocomplex ) }.
% 0.97/1.58 { class_Groups_Oab__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.97/1.58 { class_Rings_Ono__zero__divisors( tc_Complex_Ocomplex ) }.
% 0.97/1.58 { class_Groups_Ocomm__monoid__add( tc_Complex_Ocomplex ) }.
% 0.97/1.58 { class_Rings_Ocomm__semiring__1( tc_Complex_Ocomplex ) }.
% 0.97/1.58 { class_RealVector_Oreal__field( tc_Complex_Ocomplex ) }.
% 0.97/1.58 { class_Rings_Odivision__ring( tc_Complex_Ocomplex ) }.
% 0.97/1.58 { class_Rings_Ocomm__semiring( tc_Complex_Ocomplex ) }.
% 0.97/1.58 { class_Groups_Oab__group__add( tc_Complex_Ocomplex ) }.
% 0.97/1.58 { class_Rings_Ozero__neq__one( tc_Complex_Ocomplex ) }.
% 0.97/1.58 { class_Groups_Omonoid__mult( tc_Complex_Ocomplex ) }.
% 0.97/1.58 { class_Groups_Omonoid__add( tc_Complex_Ocomplex ) }.
% 0.97/1.58 { class_Groups_Ogroup__add( tc_Complex_Ocomplex ) }.
% 0.97/1.58 { class_Rings_Omult__zero( tc_Complex_Ocomplex ) }.
% 0.97/1.58 { class_Int_Oring__char__0( tc_Complex_Ocomplex ) }.
% 0.97/1.58 { class_Int_Onumber__ring( tc_Complex_Ocomplex ) }.
% 0.97/1.58 { class_Rings_Osemiring( tc_Complex_Ocomplex ) }.
% 0.97/1.58 { class_Rings_Oring__1( tc_Complex_Ocomplex ) }.
% 0.97/1.58 { class_Fields_Ofield( tc_Complex_Ocomplex ) }.
% 0.97/1.58 { class_Groups_Ozero( tc_Complex_Ocomplex ) }.
% 0.97/1.58 { class_Rings_Oring( tc_Complex_Ocomplex ) }.
% 0.97/1.58 { class_Rings_Oidom( tc_Complex_Ocomplex ) }.
% 0.97/1.58 { class_Int_Onumber( tc_Complex_Ocomplex ) }.
% 0.97/1.58 { class_Groups_Oone( tc_Complex_Ocomplex ) }.
% 0.97/1.58 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.97/1.58 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.97/1.58 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.97/1.58 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.97/1.58 v_N1____, v_N2____ ) ) ) ), c_Rings_Oinverse__class_Odivide(
% 0.97/1.58 tc_RealDef_Oreal, 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
% 0.97/1.58 *** allocated 15000 integers for clauses
% 0.97/1.58 *** allocated 22500 integers for clauses
% 0.97/1.58 *** allocated 33750 integers for clauses
% 0.97/1.58 *** allocated 50625 integers for clauses
% 0.97/1.58 *** allocated 75937 integers for clauses
% 0.97/1.58 *** allocated 113905 integers for clauses
% 0.97/1.58 percentage equality = 0.225201, percentage horn = 0.894070
% 0.97/1.58 This is a problem with some equality
% 0.97/1.58
% 0.97/1.58
% 0.97/1.58
% 0.97/1.58 Options Used:
% 0.97/1.58
% 0.97/1.58 useres = 1
% 0.97/1.58 useparamod = 1
% 0.97/1.58 useeqrefl = 1
% 0.97/1.58 useeqfact = 1
% 0.97/1.58 usefactor = 1
% 0.97/1.58 usesimpsplitting = 0
% 0.97/1.58 usesimpdemod = 5
% 0.97/1.58 usesimpres = 3
% 0.97/1.58
% 0.97/1.58 resimpinuse = 1000
% 0.97/1.58 resimpclauses = 20000
% 0.97/1.58 substype = eqrewr
% 0.97/1.58 backwardsubs = 1
% 0.97/1.58 selectoldest = 5
% 0.97/1.58
% 0.97/1.58 litorderings [0] = split
% 0.97/1.58 litorderings [1] = extend the termordering, first sorting on arguments
% 0.97/1.58
% 0.97/1.58 termordering = kbo
% 0.97/1.58
% 0.97/1.58 litapriori = 0
% 0.97/1.58 termapriori = 1
% 0.97/1.58 litaposteriori = 0
% 0.97/1.58 termaposteriori = 0
% 0.97/1.58 demodaposteriori = 0
% 0.97/1.58 ordereqreflfact = 0
% 0.97/1.58
% 0.97/1.58 litselect = negord
% 0.97/1.58
% 0.97/1.58 maxweight = 15
% 0.97/1.58 maxdepth = 30000
% 0.97/1.58 maxlength = 115
% 0.97/1.58 maxnrvars = 195
% 0.97/1.58 excuselevel = 1
% 0.97/1.58 increasemaxweight = 1
% 0.97/1.58
% 0.97/1.58 maxselected = 10000000
% 0.97/1.58 maxnrclauses = 10000000
% 0.97/1.58
% 0.97/1.58 showgenerated = 0
% 0.97/1.58 showkept = 0
% 0.97/1.58 showselected = 0
% 0.97/1.58 showdeleted = 0
% 0.97/1.58 showresimp = 1
% 0.97/1.58 showstatus = 2000
% 0.97/1.58
% 0.97/1.58 prologoutput = 0
% 0.97/1.58 nrgoals = 5000000
% 0.97/1.58 totalproof = 1
% 0.97/1.58
% 0.97/1.58 Symbols occurring in the translation:
% 0.97/1.58
% 0.97/1.58 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.97/1.58 . [1, 2] (w:1, o:206, a:1, s:1, b:0),
% 0.97/1.58 ! [4, 1] (w:0, o:120, a:1, s:1, b:0),
% 0.97/1.58 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.97/1.58 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.97/1.58 tc_RealDef_Oreal [35, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.97/1.58 c_Int_OPls [36, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.97/1.58 c_Int_OBit1 [37, 1] (w:1, o:126, a:1, s:1, b:0),
% 0.97/1.58 c_Int_OBit0 [38, 1] (w:1, o:125, a:1, s:1, b:0),
% 0.97/1.58 c_Int_Onumber__class_Onumber__of [39, 2] (w:1, o:230, a:1, s:1, b:0)
% 0.97/1.58 ,
% 0.97/1.58 tc_Complex_Ocomplex [40, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.97/1.58 v_p [41, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.97/1.58 v_z____ [42, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.97/1.58 c_Polynomial_Opoly [43, 3] (w:1, o:256, a:1, s:1, b:0),
% 0.97/1.58 c_RealVector_Onorm__class_Onorm [44, 2] (w:1, o:231, a:1, s:1, b:0),
% 0.97/1.58
% 0.97/1.58 v_s____ [45, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.97/1.58 c_Groups_Ouminus__class_Ouminus [46, 2] (w:1, o:232, a:1, s:1, b:0),
% 0.97/1.58
% 0.97/1.58 c_Groups_Ominus__class_Ominus [47, 3] (w:1, o:257, a:1, s:1, b:0),
% 0.97/1.58 c_Groups_Oabs__class_Oabs [48, 2] (w:1, o:233, a:1, s:1, b:0),
% 0.97/1.58 c_Rings_Oinverse__class_Odivide [49, 3] (w:1, o:258, a:1, s:1, b:0),
% 0.97/1.58
% 0.97/1.58 tc_Nat_Onat [50, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.97/1.58 v_N1____ [51, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.97/1.58 v_N2____ [52, 0] (w:1, o:25, a:1, s:1, b:0),
% 0.97/1.58 c_Groups_Oplus__class_Oplus [53, 3] (w:1, o:259, a:1, s:1, b:0),
% 0.97/1.58 c_Nat_OSuc [54, 1] (w:1, o:127, a:1, s:1, b:0),
% 0.97/1.58 c_RealDef_Oreal [55, 2] (w:1, o:234, a:1, s:1, b:0),
% 0.97/1.58 c_Orderings_Oord__class_Oless [56, 3] (w:1, o:254, a:1, s:1, b:0),
% 0.97/1.58 c_Groups_Ozero__class_Ozero [57, 1] (w:1, o:128, a:1, s:1, b:0),
% 0.97/1.58 c_Rings_Oinverse__class_Oinverse [60, 2] (w:1, o:235, a:1, s:1, b:0)
% 0.97/1.58 ,
% 0.97/1.58 class_Int_Onumber__ring [62, 1] (w:1, o:129, a:1, s:1, b:0),
% 0.97/1.58 c_Groups_Oone__class_Oone [63, 1] (w:1, o:130, a:1, s:1, b:0),
% 0.97/1.58 tc_Int_Oint [65, 0] (w:1, o:39, a:1, s:1, b:0),
% 0.97/1.58 class_Rings_Olinordered__idom [68, 1] (w:1, o:131, a:1, s:1, b:0),
% 0.97/1.58 v_g____ [70, 1] (w:1, o:132, a:1, s:1, b:0),
% 0.97/1.58 v_d____ [72, 0] (w:1, o:47, a:1, s:1, b:0),
% 0.97/1.58 class_RealVector_Oreal__normed__algebra__1 [73, 1] (w:1, o:133, a:1
% 0.97/1.58 , s:1, b:0),
% 0.97/1.58 class_RealVector_Oreal__normed__vector [75, 1] (w:1, o:134, a:1, s:1
% 0.97/1.58 , b:0),
% 0.97/1.58 class_RealVector_Oreal__normed__div__algebra [78, 1] (w:1, o:135, a:1
% 0.97/1.58 , s:1, b:0),
% 0.97/1.58 class_Rings_Odivision__ring__inverse__zero [79, 1] (w:1, o:138, a:1
% 0.97/1.58 , s:1, b:0),
% 0.97/1.58 class_Groups_Olinordered__ab__group__add [95, 1] (w:1, o:143, a:1, s:
% 0.97/1.58 1, b:0),
% 0.97/1.58 class_RealVector_Oreal__normed__field [97, 1] (w:1, o:144, a:1, s:1
% 0.97/1.58 , b:0),
% 0.97/1.58 class_Int_Onumber [99, 1] (w:1, o:145, a:1, s:1, b:0),
% 0.97/1.58 class_Rings_Odivision__ring [100, 1] (w:1, o:146, a:1, s:1, b:0),
% 0.97/1.58 class_Fields_Ofield [101, 1] (w:1, o:139, a:1, s:1, b:0),
% 0.97/1.58 class_Fields_Ofield__inverse__zero [102, 1] (w:1, o:140, a:1, s:1, b:
% 0.97/1.58 0),
% 0.97/1.58 class_Int_Oring__char__0 [104, 1] (w:1, o:147, a:1, s:1, b:0),
% 0.97/1.58 class_Fields_Olinordered__field__inverse__zero [105, 1] (w:1, o:141
% 0.97/1.58 , a:1, s:1, b:0),
% 0.97/1.58 v_f____ [111, 0] (w:1, o:84, a:1, s:1, b:0),
% 0.97/1.58 hAPP [112, 2] (w:1, o:236, a:1, s:1, b:0),
% 0.97/1.58 c_Orderings_Oord__class_Oless__eq [114, 3] (w:1, o:255, a:1, s:1, b:0
% 0.97/1.58 ),
% 0.97/1.58 c_SEQ_Osubseq [115, 1] (w:1, o:148, a:1, s:1, b:0),
% 0.97/1.58 v_r [118, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.97/1.58 class_Orderings_Olinorder [122, 1] (w:1, o:149, a:1, s:1, b:0),
% 0.97/1.58 class_Groups_Oab__group__add [125, 1] (w:1, o:150, a:1, s:1, b:0),
% 0.97/1.58 class_Groups_Ogroup__add [126, 1] (w:1, o:151, a:1, s:1, b:0),
% 0.97/1.58 c_Groups_Otimes__class_Otimes [129, 3] (w:1, o:260, a:1, s:1, b:0),
% 0.97/1.58 v_w____ [133, 0] (w:1, o:100, a:1, s:1, b:0),
% 0.97/1.58 class_RealVector_Oreal__normed__algebra [141, 1] (w:1, o:152, a:1, s:
% 0.97/1.58 1, b:0),
% 0.97/1.58 class_Rings_Osemiring [146, 1] (w:1, o:157, a:1, s:1, b:0),
% 0.97/1.58 class_Rings_Oring [147, 1] (w:1, o:153, a:1, s:1, b:0),
% 0.97/1.58 class_Rings_Oring__1 [153, 1] (w:1, o:154, a:1, s:1, b:0),
% 0.97/1.58 class_RealVector_Oreal__field [155, 1] (w:1, o:158, a:1, s:1, b:0),
% 0.97/1.58 hBOOL [161, 1] (w:1, o:159, a:1, s:1, b:0),
% 0.97/1.58 class_Rings_Olinordered__ring__strict [170, 1] (w:1, o:160, a:1, s:1
% 0.97/1.58 , b:0),
% 0.97/1.58 class_Rings_Olinordered__ring [172, 1] (w:1, o:161, a:1, s:1, b:0),
% 0.97/1.58 class_Rings_Olinordered__semiring__1__strict [177, 1] (w:1, o:162, a:
% 0.97/1.58 1, s:1, b:0),
% 0.97/1.58 class_Rings_Ono__zero__divisors [179, 1] (w:1, o:169, a:1, s:1, b:0)
% 0.97/1.58 ,
% 0.97/1.58 class_Rings_Oring__no__zero__divisors [180, 1] (w:1, o:155, a:1, s:1
% 0.97/1.58 , b:0),
% 0.97/1.58 class_Rings_Omult__zero [181, 1] (w:1, o:168, a:1, s:1, b:0),
% 0.97/1.58 class_Rings_Ozero__neq__one [182, 1] (w:1, o:170, a:1, s:1, b:0),
% 0.97/1.58 class_Rings_Ocomm__semiring [183, 1] (w:1, o:136, a:1, s:1, b:0),
% 0.97/1.58 class_Rings_Oidom [184, 1] (w:1, o:171, a:1, s:1, b:0),
% 0.97/1.58 class_Rings_Oordered__cancel__semiring [185, 1] (w:1, o:172, a:1, s:1
% 0.97/1.58 , b:0),
% 0.97/1.58 class_Rings_Oordered__ring [186, 1] (w:1, o:173, a:1, s:1, b:0),
% 0.97/1.58 class_Rings_Oordered__semiring [187, 1] (w:1, o:175, a:1, s:1, b:0),
% 0.97/1.58
% 0.97/1.58 class_Rings_Oordered__comm__semiring [188, 1] (w:1, o:176, a:1, s:1
% 0.97/1.58 , b:0),
% 0.97/1.58 class_Rings_Olinordered__semiring__strict [189, 1] (w:1, o:163, a:1
% 0.97/1.58 , s:1, b:0),
% 0.97/1.58 class_Rings_Olinordered__comm__semiring__strict [190, 1] (w:1, o:164
% 0.97/1.58 , a:1, s:1, b:0),
% 0.97/1.58 class_Rings_Olinordered__semidom [191, 1] (w:1, o:165, a:1, s:1, b:0)
% 0.97/1.58 ,
% 0.97/1.58 class_Rings_Oring__1__no__zero__divisors [194, 1] (w:1, o:156, a:1
% 0.97/1.58 , s:1, b:0),
% 0.97/1.58 class_Rings_Olinordered__semiring [195, 1] (w:1, o:166, a:1, s:1, b:0
% 0.97/1.58 ),
% 0.97/1.58 class_Rings_Oordered__ring__abs [196, 1] (w:1, o:174, a:1, s:1, b:0)
% 0.97/1.58 ,
% 0.97/1.58 class_Rings_Olinordered__semiring__1 [197, 1] (w:1, o:167, a:1, s:1
% 0.97/1.58 , b:0),
% 0.97/1.58 class_Fields_Olinordered__field [198, 1] (w:1, o:142, a:1, s:1, b:0)
% 0.97/1.58 ,
% 0.97/1.58 class_Groups_Oordered__ab__group__add__abs [199, 1] (w:1, o:177, a:1
% 0.97/1.58 , s:1, b:0),
% 0.97/1.58 class_Groups_Ozero [200, 1] (w:1, o:178, a:1, s:1, b:0),
% 0.97/1.58 class_Groups_Oab__semigroup__mult [201, 1] (w:1, o:179, a:1, s:1, b:0
% 0.97/1.58 ),
% 0.97/1.58 class_Groups_Ocancel__semigroup__add [202, 1] (w:1, o:180, a:1, s:1
% 0.97/1.58 , b:0),
% 0.97/1.58 class_Groups_Ocancel__ab__semigroup__add [203, 1] (w:1, o:181, a:1
% 0.97/1.58 , s:1, b:0),
% 0.97/1.58 class_Groups_Oab__semigroup__add [204, 1] (w:1, o:182, a:1, s:1, b:0)
% 0.97/1.58 ,
% 0.97/1.58 class_Groups_Oone [205, 1] (w:1, o:183, a:1, s:1, b:0),
% 0.97/1.58 class_Groups_Ocomm__monoid__add [206, 1] (w:1, o:184, a:1, s:1, b:0)
% 0.97/1.58 ,
% 0.97/1.58 class_Groups_Omonoid__add [207, 1] (w:1, o:185, a:1, s:1, b:0),
% 0.97/1.58 class_Groups_Oordered__ab__semigroup__add__imp__le [208, 1] (w:1, o:
% 0.97/1.58 186, a:1, s:1, b:0),
% 0.97/1.58 class_Groups_Oordered__ab__semigroup__add [209, 1] (w:1, o:187, a:1
% 0.97/1.58 , s:1, b:0),
% 0.97/1.58 class_Groups_Oordered__cancel__ab__semigroup__add [210, 1] (w:1, o:
% 0.97/1.58 188, a:1, s:1, b:0),
% 0.97/1.58 class_Groups_Oordered__ab__group__add [211, 1] (w:1, o:189, a:1, s:1
% 0.97/1.58 , b:0),
% 0.97/1.58 class_Groups_Ocomm__monoid__mult [212, 1] (w:1, o:190, a:1, s:1, b:0)
% 0.97/1.58 ,
% 0.97/1.58 class_Groups_Omonoid__mult [213, 1] (w:1, o:191, a:1, s:1, b:0),
% 0.97/1.58 class_Groups_Oordered__comm__monoid__add [214, 1] (w:1, o:192, a:1
% 0.97/1.58 , s:1, b:0),
% 0.97/1.58 class_Groups_Oabs__if [215, 1] (w:1, o:193, a:1, s:1, b:0),
% 0.97/1.58 class_Rings_Ocomm__semiring__1 [221, 1] (w:1, o:137, a:1, s:1, b:0),
% 0.97/1.58
% 0.97/1.58 alpha1 [222, 2] (w:1, o:237, a:1, s:1, b:1),
% 0.97/1.58 alpha2 [223, 1] (w:1, o:194, a:1, s:1, b:1),
% 0.97/1.58 alpha3 [224, 3] (w:1, o:270, a:1, s:1, b:1),
% 0.97/1.58 alpha4 [225, 3] (w:1, o:276, a:1, s:1, b:1),
% 0.97/1.58 alpha5 [226, 3] (w:1, o:277, a:1, s:1, b:1),
% 0.97/1.58 alpha6 [227, 3] (w:1, o:286, a:1, s:1, b:1),
% 0.97/1.58 alpha7 [228, 3] (w:1, o:287, a:1, s:1, b:1),
% 0.97/1.58 alpha8 [229, 3] (w:1, o:288, a:1, s:1, b:1),
% 0.97/1.58 alpha9 [230, 3] (w:1, o:289, a:1, s:1, b:1),
% 0.97/1.58 alpha10 [231, 3] (w:1, o:290, a:1, s:1, b:1),
% 0.97/1.58 alpha11 [232, 3] (w:1, o:291, a:1, s:1, b:1),
% 0.97/1.58 alpha12 [233, 3] (w:1, o:292, a:1, s:1, b:1),
% 0.97/1.58 alpha13 [234, 3] (w:1, o:293, a:1, s:1, b:1),
% 0.97/1.58 alpha14 [235, 3] (w:1, o:294, a:1, s:1, b:1),
% 0.97/1.58 alpha15 [236, 2] (w:1, o:238, a:1, s:1, b:1),
% 0.97/1.58 alpha16 [237, 2] (w:1, o:239, a:1, s:1, b:1),
% 0.97/1.58 alpha17 [238, 2] (w:1, o:240, a:1, s:1, b:1),
% 0.97/1.58 alpha18 [239, 3] (w:1, o:295, a:1, s:1, b:1),
% 0.97/1.58 alpha19 [240, 3] (w:1, o:296, a:1, s:1, b:1),
% 0.97/1.58 alpha20 [241, 2] (w:1, o:242, a:1, s:1, b:1),
% 0.97/1.58 alpha21 [242, 3] (w:1, o:263, a:1, s:1, b:1),
% 0.97/1.58 alpha22 [243, 3] (w:1, o:264, a:1, s:1, b:1),
% 0.97/1.58 alpha23 [244, 4] (w:1, o:305, a:1, s:1, b:1),
% 0.97/1.58 alpha24 [245, 4] (w:1, o:306, a:1, s:1, b:1),
% 0.97/1.58 alpha25 [246, 3] (w:1, o:265, a:1, s:1, b:1),
% 0.97/1.58 alpha26 [247, 3] (w:1, o:266, a:1, s:1, b:1),
% 0.97/1.58 alpha27 [248, 3] (w:1, o:267, a:1, s:1, b:1),
% 0.97/1.58 alpha28 [249, 3] (w:1, o:268, a:1, s:1, b:1),
% 0.97/1.58 alpha29 [250, 3] (w:1, o:269, a:1, s:1, b:1),
% 0.97/1.58 alpha30 [251, 3] (w:1, o:271, a:1, s:1, b:1),
% 0.97/1.58 alpha31 [252, 3] (w:1, o:272, a:1, s:1, b:1),
% 0.97/1.58 alpha32 [253, 3] (w:1, o:273, a:1, s:1, b:1),
% 0.97/1.58 alpha33 [254, 3] (w:1, o:274, a:1, s:1, b:1),
% 0.97/1.58 alpha34 [255, 3] (w:1, o:275, a:1, s:1, b:1),
% 0.97/1.58 alpha35 [256, 2] (w:1, o:243, a:1, s:1, b:1),
% 0.97/1.58 alpha36 [257, 4] (w:1, o:307, a:1, s:1, b:1),
% 0.97/1.58 alpha37 [258, 4] (w:1, o:308, a:1, s:1, b:1),
% 0.97/1.58 alpha38 [259, 4] (w:1, o:309, a:1, s:1, b:1),
% 0.97/1.58 alpha39 [260, 4] (w:1, o:310, a:1, s:1, b:1),
% 0.97/1.58 alpha40 [261, 4] (w:1, o:311, a:1, s:1, b:1),
% 0.97/1.58 alpha41 [262, 4] (w:1, o:312, a:1, s:1, b:1),
% 0.97/1.58 alpha42 [263, 4] (w:1, o:313, a:1, s:1, b:1),
% 0.97/1.58 alpha43 [264, 4] (w:1, o:314, a:1, s:1, b:1),
% 0.97/1.58 alpha44 [265, 4] (w:1, o:315, a:1, s:1, b:1),
% 0.97/1.58 alpha45 [266, 4] (w:1, o:316, a:1, s:1, b:1),
% 0.97/1.58 alpha46 [267, 4] (w:1, o:317, a:1, s:1, b:1),
% 0.97/1.58 alpha47 [268, 4] (w:1, o:318, a:1, s:1, b:1),
% 0.97/1.58 alpha48 [269, 2] (w:1, o:244, a:1, s:1, b:1),
% 0.97/1.58 alpha49 [270, 2] (w:1, o:245, a:1, s:1, b:1),
% 0.97/1.58 alpha50 [271, 3] (w:1, o:278, a:1, s:1, b:1),
% 0.97/1.58 alpha51 [272, 3] (w:1, o:279, a:1, s:1, b:1),
% 0.97/1.58 alpha52 [273, 3] (w:1, o:280, a:1, s:1, b:1),
% 0.97/1.58 alpha53 [274, 3] (w:1, o:281, a:1, s:1, b:1),
% 0.97/1.58 alpha54 [275, 4] (w:1, o:319, a:1, s:1, b:1),
% 0.97/1.58 alpha55 [276, 4] (w:1, o:320, a:1, s:1, b:1),
% 0.97/1.58 alpha56 [277, 3] (w:1, o:282, a:1, s:1, b:1),
% 0.97/1.58 alpha57 [278, 3] (w:1, o:283, a:1, s:1, b:1),
% 0.97/1.58 alpha58 [279, 3] (w:1, o:284, a:1, s:1, b:1),
% 0.97/1.58 alpha59 [280, 3] (w:1, o:285, a:1, s:1, b:1),
% 6.74/7.09 alpha60 [281, 4] (w:1, o:321, a:1, s:1, b:1),
% 6.74/7.09 alpha61 [282, 4] (w:1, o:322, a:1, s:1, b:1),
% 6.74/7.09 alpha62 [283, 4] (w:1, o:323, a:1, s:1, b:1),
% 6.74/7.09 alpha63 [284, 4] (w:1, o:324, a:1, s:1, b:1),
% 6.74/7.09 alpha64 [285, 4] (w:1, o:325, a:1, s:1, b:1),
% 6.74/7.09 alpha65 [286, 4] (w:1, o:326, a:1, s:1, b:1),
% 6.74/7.09 alpha66 [287, 4] (w:1, o:327, a:1, s:1, b:1),
% 6.74/7.09 alpha67 [288, 4] (w:1, o:328, a:1, s:1, b:1),
% 6.74/7.09 alpha68 [289, 4] (w:1, o:329, a:1, s:1, b:1),
% 6.74/7.09 alpha69 [290, 4] (w:1, o:330, a:1, s:1, b:1),
% 6.74/7.09 alpha70 [291, 4] (w:1, o:331, a:1, s:1, b:1),
% 6.74/7.09 alpha71 [292, 4] (w:1, o:332, a:1, s:1, b:1),
% 6.74/7.09 alpha72 [293, 4] (w:1, o:333, a:1, s:1, b:1),
% 6.74/7.09 alpha73 [294, 4] (w:1, o:334, a:1, s:1, b:1),
% 6.74/7.09 alpha74 [295, 4] (w:1, o:335, a:1, s:1, b:1),
% 6.74/7.09 alpha75 [296, 4] (w:1, o:336, a:1, s:1, b:1),
% 6.74/7.09 alpha76 [297, 4] (w:1, o:337, a:1, s:1, b:1),
% 6.74/7.09 alpha77 [298, 4] (w:1, o:338, a:1, s:1, b:1),
% 6.74/7.09 alpha78 [299, 4] (w:1, o:339, a:1, s:1, b:1),
% 6.74/7.09 alpha79 [300, 4] (w:1, o:340, a:1, s:1, b:1),
% 6.74/7.09 alpha80 [301, 4] (w:1, o:341, a:1, s:1, b:1),
% 6.74/7.09 alpha81 [302, 4] (w:1, o:342, a:1, s:1, b:1),
% 6.74/7.09 alpha82 [303, 4] (w:1, o:343, a:1, s:1, b:1),
% 6.74/7.09 alpha83 [304, 4] (w:1, o:344, a:1, s:1, b:1),
% 6.74/7.09 alpha84 [305, 4] (w:1, o:345, a:1, s:1, b:1),
% 6.74/7.09 alpha85 [306, 4] (w:1, o:346, a:1, s:1, b:1),
% 6.74/7.09 alpha86 [307, 4] (w:1, o:347, a:1, s:1, b:1),
% 6.74/7.09 alpha87 [308, 4] (w:1, o:348, a:1, s:1, b:1),
% 6.74/7.09 alpha88 [309, 4] (w:1, o:349, a:1, s:1, b:1),
% 6.74/7.09 alpha89 [310, 4] (w:1, o:350, a:1, s:1, b:1),
% 6.74/7.09 alpha90 [311, 4] (w:1, o:351, a:1, s:1, b:1),
% 6.74/7.09 alpha91 [312, 4] (w:1, o:352, a:1, s:1, b:1),
% 6.74/7.09 alpha92 [313, 4] (w:1, o:353, a:1, s:1, b:1),
% 6.74/7.09 alpha93 [314, 4] (w:1, o:354, a:1, s:1, b:1),
% 6.74/7.09 alpha94 [315, 4] (w:1, o:355, a:1, s:1, b:1),
% 6.74/7.09 alpha95 [316, 4] (w:1, o:356, a:1, s:1, b:1),
% 6.74/7.09 alpha96 [317, 4] (w:1, o:357, a:1, s:1, b:1),
% 6.74/7.09 alpha97 [318, 4] (w:1, o:358, a:1, s:1, b:1),
% 6.74/7.09 alpha98 [319, 4] (w:1, o:359, a:1, s:1, b:1),
% 6.74/7.09 alpha99 [320, 4] (w:1, o:360, a:1, s:1, b:1),
% 6.74/7.09 alpha100 [321, 4] (w:1, o:303, a:1, s:1, b:1),
% 6.74/7.09 alpha101 [322, 4] (w:1, o:304, a:1, s:1, b:1),
% 6.74/7.09 alpha102 [323, 3] (w:1, o:261, a:1, s:1, b:1),
% 6.74/7.09 alpha103 [324, 2] (w:1, o:241, a:1, s:1, b:1),
% 6.74/7.09 alpha104 [325, 3] (w:1, o:262, a:1, s:1, b:1),
% 6.74/7.09 skol1 [326, 0] (w:1, o:6, a:1, s:1, b:1),
% 6.74/7.09 skol2 [327, 0] (w:1, o:10, a:1, s:1, b:1),
% 6.74/7.09 skol3 [328, 0] (w:1, o:14, a:1, s:1, b:1),
% 6.74/7.09 skol4 [329, 3] (w:1, o:299, a:1, s:1, b:1),
% 6.74/7.09 skol5 [330, 3] (w:1, o:300, a:1, s:1, b:1),
% 6.74/7.09 skol6 [331, 0] (w:1, o:15, a:1, s:1, b:1),
% 6.74/7.09 skol7 [332, 1] (w:1, o:195, a:1, s:1, b:1),
% 6.74/7.09 skol8 [333, 1] (w:1, o:196, a:1, s:1, b:1),
% 6.74/7.09 skol9 [334, 1] (w:1, o:197, a:1, s:1, b:1),
% 6.74/7.09 skol10 [335, 1] (w:1, o:198, a:1, s:1, b:1),
% 6.74/7.09 skol11 [336, 1] (w:1, o:199, a:1, s:1, b:1),
% 6.74/7.09 skol12 [337, 2] (w:1, o:246, a:1, s:1, b:1),
% 6.74/7.09 skol13 [338, 1] (w:1, o:200, a:1, s:1, b:1),
% 6.74/7.09 skol14 [339, 0] (w:1, o:7, a:1, s:1, b:1),
% 6.74/7.09 skol15 [340, 1] (w:1, o:201, a:1, s:1, b:1),
% 6.74/7.09 skol16 [341, 0] (w:1, o:8, a:1, s:1, b:1),
% 6.74/7.09 skol17 [342, 0] (w:1, o:9, a:1, s:1, b:1),
% 6.74/7.09 skol18 [343, 1] (w:1, o:202, a:1, s:1, b:1),
% 6.74/7.09 skol19 [344, 1] (w:1, o:203, a:1, s:1, b:1),
% 6.74/7.09 skol20 [345, 0] (w:1, o:11, a:1, s:1, b:1),
% 6.74/7.09 skol21 [346, 0] (w:1, o:12, a:1, s:1, b:1),
% 6.74/7.09 skol22 [347, 2] (w:1, o:247, a:1, s:1, b:1),
% 6.74/7.09 skol23 [348, 1] (w:1, o:204, a:1, s:1, b:1),
% 6.74/7.09 skol24 [349, 2] (w:1, o:248, a:1, s:1, b:1),
% 6.74/7.09 skol25 [350, 2] (w:1, o:249, a:1, s:1, b:1),
% 6.74/7.09 skol26 [351, 3] (w:1, o:301, a:1, s:1, b:1),
% 6.74/7.09 skol27 [352, 3] (w:1, o:302, a:1, s:1, b:1),
% 6.74/7.09 skol28 [353, 0] (w:1, o:13, a:1, s:1, b:1),
% 6.74/7.09 skol29 [354, 2] (w:1, o:250, a:1, s:1, b:1),
% 6.74/7.09 skol30 [355, 2] (w:1, o:251, a:1, s:1, b:1),
% 6.74/7.09 skol31 [356, 1] (w:1, o:205, a:1, s:1, b:1),
% 6.74/7.09 skol32 [357, 3] (w:1, o:297, a:1, s:1, b:1),
% 6.74/7.09 skol33 [358, 3] (w:1, o:298, a:1, s:1, b:1),
% 39.98/40.39 skol34 [359, 2] (w:1, o:252, a:1, s:1, b:1),
% 39.98/40.39 skol35 [360, 2] (w:1, o:253, a:1, s:1, b:1).
% 39.98/40.39
% 39.98/40.39
% 39.98/40.39 Starting Search:
% 39.98/40.39
% 39.98/40.39 *** allocated 170857 integers for clauses
% 39.98/40.39 Resimplifying inuse:
% 39.98/40.39 Done
% 39.98/40.39
% 39.98/40.39
% 39.98/40.39 Intermediate Status:
% 39.98/40.39 Generated: 2748
% 39.98/40.39 Kept: 2000
% 39.98/40.39 Inuse: 101
% 39.98/40.39 Deleted: 10
% 39.98/40.39 Deletedinuse: 0
% 39.98/40.39
% 39.98/40.39 *** allocated 256285 integers for clauses
% 39.98/40.39 Resimplifying inuse:
% 39.98/40.39 Done
% 39.98/40.39
% 39.98/40.39 *** allocated 170857 integers for termspace/termends
% 39.98/40.39 *** allocated 384427 integers for clauses
% 39.98/40.39
% 39.98/40.39 Intermediate Status:
% 39.98/40.39 Generated: 6751
% 39.98/40.39 Kept: 4285
% 39.98/40.39 Inuse: 243
% 39.98/40.39 Deleted: 22
% 39.98/40.39 Deletedinuse: 4
% 39.98/40.39
% 39.98/40.39 Resimplifying inuse:
% 39.98/40.39 Done
% 39.98/40.39
% 39.98/40.39 Resimplifying inuse:
% 39.98/40.39 Done
% 39.98/40.39
% 39.98/40.39 *** allocated 256285 integers for termspace/termends
% 39.98/40.39
% 39.98/40.39 Intermediate Status:
% 39.98/40.39 Generated: 13930
% 39.98/40.39 Kept: 6722
% 39.98/40.39 Inuse: 367
% 39.98/40.39 Deleted: 29
% 39.98/40.39 Deletedinuse: 5
% 39.98/40.39
% 39.98/40.39 Resimplifying inuse:
% 39.98/40.39 Done
% 39.98/40.39
% 39.98/40.39 *** allocated 576640 integers for clauses
% 39.98/40.39 Resimplifying inuse:
% 39.98/40.39 Done
% 39.98/40.39
% 39.98/40.39
% 39.98/40.39 Intermediate Status:
% 39.98/40.39 Generated: 21113
% 39.98/40.39 Kept: 8724
% 39.98/40.39 Inuse: 435
% 39.98/40.39 Deleted: 31
% 39.98/40.39 Deletedinuse: 6
% 39.98/40.39
% 39.98/40.39 Resimplifying inuse:
% 39.98/40.39 Done
% 39.98/40.39
% 39.98/40.39 Resimplifying inuse:
% 39.98/40.39 Done
% 39.98/40.39
% 39.98/40.39 *** allocated 864960 integers for clauses
% 39.98/40.39
% 39.98/40.39 Intermediate Status:
% 39.98/40.39 Generated: 29233
% 39.98/40.39 Kept: 10814
% 39.98/40.39 Inuse: 535
% 39.98/40.39 Deleted: 32
% 39.98/40.39 Deletedinuse: 6
% 39.98/40.39
% 39.98/40.39 *** allocated 384427 integers for termspace/termends
% 39.98/40.39 Resimplifying inuse:
% 39.98/40.39 Done
% 39.98/40.39
% 39.98/40.39 Resimplifying inuse:
% 39.98/40.39 Done
% 39.98/40.39
% 39.98/40.39
% 39.98/40.39 Intermediate Status:
% 39.98/40.39 Generated: 36673
% 39.98/40.39 Kept: 12826
% 39.98/40.39 Inuse: 607
% 39.98/40.39 Deleted: 33
% 39.98/40.39 Deletedinuse: 6
% 39.98/40.39
% 39.98/40.39 Resimplifying inuse:
% 39.98/40.39 Done
% 39.98/40.39
% 39.98/40.39
% 39.98/40.39 Intermediate Status:
% 39.98/40.39 Generated: 44281
% 39.98/40.39 Kept: 14831
% 39.98/40.39 Inuse: 646
% 39.98/40.39 Deleted: 36
% 39.98/40.39 Deletedinuse: 6
% 39.98/40.39
% 39.98/40.39 Resimplifying inuse:
% 39.98/40.39 Done
% 39.98/40.39
% 39.98/40.39 *** allocated 1297440 integers for clauses
% 39.98/40.39 *** allocated 576640 integers for termspace/termends
% 39.98/40.39
% 39.98/40.39 Intermediate Status:
% 39.98/40.39 Generated: 51990
% 39.98/40.39 Kept: 18520
% 39.98/40.39 Inuse: 686
% 39.98/40.39 Deleted: 41
% 39.98/40.39 Deletedinuse: 6
% 39.98/40.39
% 39.98/40.39 Resimplifying inuse:
% 39.98/40.39 Done
% 39.98/40.39
% 39.98/40.39 Resimplifying inuse:
% 39.98/40.39 Done
% 39.98/40.39
% 39.98/40.39 Resimplifying clauses:
% 39.98/40.39 Done
% 39.98/40.39
% 39.98/40.39
% 39.98/40.39 Intermediate Status:
% 39.98/40.39 Generated: 56197
% 39.98/40.39 Kept: 20719
% 39.98/40.39 Inuse: 701
% 39.98/40.39 Deleted: 892
% 39.98/40.39 Deletedinuse: 7
% 39.98/40.39
% 39.98/40.39 Resimplifying inuse:
% 39.98/40.39 Done
% 39.98/40.39
% 39.98/40.39 Resimplifying inuse:
% 39.98/40.39 Done
% 39.98/40.39
% 39.98/40.39
% 39.98/40.39 Intermediate Status:
% 39.98/40.39 Generated: 62205
% 39.98/40.39 Kept: 22746
% 39.98/40.39 Inuse: 774
% 39.98/40.39 Deleted: 894
% 39.98/40.39 Deletedinuse: 7
% 39.98/40.39
% 39.98/40.39
% 39.98/40.39 Intermediate Status:
% 39.98/40.39 Generated: 66072
% 39.98/40.39 Kept: 24843
% 39.98/40.39 Inuse: 794
% 39.98/40.39 Deleted: 894
% 39.98/40.39 Deletedinuse: 7
% 39.98/40.39
% 39.98/40.39 Resimplifying inuse:
% 39.98/40.39 Done
% 39.98/40.39
% 39.98/40.39 Resimplifying inuse:
% 39.98/40.39 Done
% 39.98/40.39
% 39.98/40.39 *** allocated 1946160 integers for clauses
% 39.98/40.39
% 39.98/40.39 Intermediate Status:
% 39.98/40.39 Generated: 75047
% 39.98/40.39 Kept: 28061
% 39.98/40.39 Inuse: 858
% 39.98/40.39 Deleted: 894
% 39.98/40.39 Deletedinuse: 7
% 39.98/40.39
% 39.98/40.39 Resimplifying inuse:
% 39.98/40.39 Done
% 39.98/40.39
% 39.98/40.39 *** allocated 864960 integers for termspace/termends
% 39.98/40.39 Resimplifying inuse:
% 39.98/40.39 Done
% 39.98/40.39
% 39.98/40.39
% 39.98/40.39 Intermediate Status:
% 39.98/40.39 Generated: 81909
% 39.98/40.39 Kept: 30562
% 39.98/40.39 Inuse: 904
% 39.98/40.39 Deleted: 898
% 39.98/40.39 Deletedinuse: 11
% 39.98/40.39
% 39.98/40.39 Resimplifying inuse:
% 39.98/40.39 Done
% 39.98/40.39
% 39.98/40.39
% 39.98/40.39 Intermediate Status:
% 39.98/40.39 Generated: 91439
% 39.98/40.39 Kept: 33516
% 39.98/40.39 Inuse: 929
% 39.98/40.39 Deleted: 898
% 39.98/40.39 Deletedinuse: 11
% 39.98/40.39
% 39.98/40.39 Resimplifying inuse:
% 39.98/40.39 Done
% 39.98/40.39
% 39.98/40.39 Resimplifying inuse:
% 39.98/40.39 Done
% 39.98/40.39
% 39.98/40.39
% 39.98/40.39 Intermediate Status:
% 39.98/40.39 Generated: 98631
% 39.98/40.39 Kept: 35831
% 39.98/40.39 Inuse: 979
% 39.98/40.39 Deleted: 898
% 39.98/40.39 Deletedinuse: 11
% 39.98/40.39
% 39.98/40.39 Resimplifying inuse:
% 39.98/40.39 Done
% 39.98/40.39
% 39.98/40.39
% 39.98/40.39 Intermediate Status:
% 39.98/40.39 Generated: 102368
% 39.98/40.39 Kept: 37834
% 39.98/40.39 Inuse: 989
% 39.98/40.39 Deleted: 898
% 39.98/40.39 Deletedinuse: 11
% 39.98/40.39
% 39.98/40.39 Resimplifying inuse:
% 39.98/40.39 Done
% 39.98/40.39
% 39.98/40.39 Resimplifying inuse:
% 39.98/40.39 Done
% 39.98/40.39
% 39.98/40.39
% 39.98/40.39 Intermediate Status:
% 39.98/40.39 Generated: 108233
% 39.98/40.39 Kept: 39925
% 39.98/40.39 Inuse: 1044
% 39.98/40.39 Deleted: 898
% 39.98/40.39 Deletedinuse: 11
% 39.98/40.39
% 39.98/40.39 Resimplifying inuse:
% 39.98/40.39 Done
% 39.98/40.39
% 39.98/40.39 *** allocated 2919240 integers for clauses
% 39.98/40.39 Resimplifying clauses:
% 39.98/40.39 Done
% 39.98/40.39
% 39.98/40.39 Resimplifying inuse:
% 39.98/40.39 Done
% 39.98/40.39
% 39.98/40.39
% 39.98/40.39 Intermediate Status:
% 39.98/40.39 Generated: 115680
% 39.98/40.39 Kept: 42107
% 39.98/40.39 Inuse: 1094
% 39.98/40.39 Deleted: 1603
% 39.98/40.39 Deletedinuse: 26
% 39.98/40.39
% 39.98/40.39 Resimplifying inuse:
% 39.98/40.39 Done
% 39.98/40.39
% 39.98/40.39 *** allocated 1297440 integers for termspace/termends
% 39.98/40.39 Resimplifying inuse:
% 39.98/40.39 Done
% 39.98/40.39
% 39.98/40.39
% 39.98/40.39 Intermediate Status:
% 39.98/40.39 Generated: 123312
% 39.98/40.39 Kept: 44123
% 39.98/40.39 Inuse: 1131
% 39.98/40.39 Deleted: 1603
% 39.98/40.39 Deletedinuse: 26
% 39.98/40.39
% 39.98/40.39 Resimplifying inuse:
% 39.98/40.39 Done
% 39.98/40.39
% 39.98/40.39
% 39.98/40.39 Intermediate Status:
% 39.98/40.39 Generated: 128214
% 39.98/40.39 Kept: 46456
% 39.98/40.39 Inuse: 1146
% 39.98/40.39 Deleted: 1603
% 39.98/40.39 Deletedinuse: 26
% 39.98/40.39
% 39.98/40.39 Resimplifying inuse:
% 39.98/40.39 Done
% 39.98/40.39
% 39.98/40.39 Resimplifying inuse:
% 39.98/40.39 Done
% 39.98/40.39
% 39.98/40.39
% 39.98/40.39 Intermediate Status:
% 39.98/40.39 Generated: 141496
% 39.98/40.39 Kept: 50489
% 99.85/100.29 Inuse: 1184
% 99.85/100.29 Deleted: 1604
% 99.85/100.29 Deletedinuse: 27
% 99.85/100.29
% 99.85/100.29 Resimplifying inuse:
% 99.85/100.29 Done
% 99.85/100.29
% 99.85/100.29 Resimplifying inuse:
% 99.85/100.29 Done
% 99.85/100.29
% 99.85/100.29
% 99.85/100.29 Intermediate Status:
% 99.85/100.29 Generated: 146926
% 99.85/100.29 Kept: 52505
% 99.85/100.29 Inuse: 1240
% 99.85/100.29 Deleted: 1605
% 99.85/100.29 Deletedinuse: 28
% 99.85/100.29
% 99.85/100.29 Resimplifying inuse:
% 99.85/100.29 Done
% 99.85/100.29
% 99.85/100.29 Resimplifying inuse:
% 99.85/100.29 Done
% 99.85/100.29
% 99.85/100.29
% 99.85/100.29 Intermediate Status:
% 99.85/100.29 Generated: 168274
% 99.85/100.29 Kept: 56522
% 99.85/100.29 Inuse: 1294
% 99.85/100.29 Deleted: 1605
% 99.85/100.29 Deletedinuse: 28
% 99.85/100.29
% 99.85/100.29 Resimplifying inuse:
% 99.85/100.29 Done
% 99.85/100.29
% 99.85/100.29 Resimplifying inuse:
% 99.85/100.29 Done
% 99.85/100.29
% 99.85/100.29
% 99.85/100.29 Intermediate Status:
% 99.85/100.29 Generated: 190978
% 99.85/100.29 Kept: 59867
% 99.85/100.29 Inuse: 1304
% 99.85/100.29 Deleted: 1605
% 99.85/100.29 Deletedinuse: 28
% 99.85/100.29
% 99.85/100.29 Resimplifying inuse:
% 99.85/100.29 Done
% 99.85/100.29
% 99.85/100.29 Resimplifying inuse:
% 99.85/100.29 Done
% 99.85/100.29
% 99.85/100.29 Resimplifying clauses:
% 99.85/100.29 Done
% 99.85/100.29
% 99.85/100.29
% 99.85/100.29 Intermediate Status:
% 99.85/100.29 Generated: 199844
% 99.85/100.29 Kept: 61979
% 99.85/100.29 Inuse: 1329
% 99.85/100.29 Deleted: 1915
% 99.85/100.29 Deletedinuse: 28
% 99.85/100.29
% 99.85/100.29 Resimplifying inuse:
% 99.85/100.29 Done
% 99.85/100.29
% 99.85/100.29 *** allocated 1946160 integers for termspace/termends
% 99.85/100.29 *** allocated 4378860 integers for clauses
% 99.85/100.29
% 99.85/100.29 Intermediate Status:
% 99.85/100.29 Generated: 211052
% 99.85/100.29 Kept: 68447
% 99.85/100.29 Inuse: 1349
% 99.85/100.29 Deleted: 1915
% 99.85/100.29 Deletedinuse: 28
% 99.85/100.29
% 99.85/100.29 Resimplifying inuse:
% 99.85/100.29 Done
% 99.85/100.29
% 99.85/100.29 Resimplifying inuse:
% 99.85/100.29 Done
% 99.85/100.29
% 99.85/100.29
% 99.85/100.29 Intermediate Status:
% 99.85/100.29 Generated: 220338
% 99.85/100.29 Kept: 72022
% 99.85/100.29 Inuse: 1383
% 99.85/100.29 Deleted: 1915
% 99.85/100.29 Deletedinuse: 28
% 99.85/100.29
% 99.85/100.29 Resimplifying inuse:
% 99.85/100.29 Done
% 99.85/100.29
% 99.85/100.29 Resimplifying inuse:
% 99.85/100.29 Done
% 99.85/100.29
% 99.85/100.29
% 99.85/100.29 Intermediate Status:
% 99.85/100.29 Generated: 227302
% 99.85/100.29 Kept: 74076
% 99.85/100.29 Inuse: 1419
% 99.85/100.29 Deleted: 1915
% 99.85/100.29 Deletedinuse: 28
% 99.85/100.29
% 99.85/100.29 Resimplifying inuse:
% 99.85/100.29 Done
% 99.85/100.29
% 99.85/100.29 Resimplifying inuse:
% 99.85/100.29 Done
% 99.85/100.29
% 99.85/100.29
% 99.85/100.29 Intermediate Status:
% 99.85/100.29 Generated: 237253
% 99.85/100.29 Kept: 77092
% 99.85/100.29 Inuse: 1459
% 99.85/100.29 Deleted: 1915
% 99.85/100.29 Deletedinuse: 28
% 99.85/100.29
% 99.85/100.29 Resimplifying inuse:
% 99.85/100.29 Done
% 99.85/100.29
% 99.85/100.29 Resimplifying inuse:
% 99.85/100.29 Done
% 99.85/100.29
% 99.85/100.29
% 99.85/100.29 Intermediate Status:
% 99.85/100.29 Generated: 244691
% 99.85/100.29 Kept: 79147
% 99.85/100.29 Inuse: 1479
% 99.85/100.29 Deleted: 1915
% 99.85/100.29 Deletedinuse: 28
% 99.85/100.29
% 99.85/100.29 Resimplifying inuse:
% 99.85/100.29 Done
% 99.85/100.29
% 99.85/100.29 Resimplifying inuse:
% 99.85/100.29 Done
% 99.85/100.29
% 99.85/100.29 Resimplifying clauses:
% 99.85/100.29 Done
% 99.85/100.29
% 99.85/100.29
% 99.85/100.29 Intermediate Status:
% 99.85/100.29 Generated: 252872
% 99.85/100.29 Kept: 81154
% 99.85/100.29 Inuse: 1514
% 99.85/100.29 Deleted: 3549
% 99.85/100.29 Deletedinuse: 31
% 99.85/100.29
% 99.85/100.29 Resimplifying inuse:
% 99.85/100.29 Done
% 99.85/100.29
% 99.85/100.29
% 99.85/100.29 Intermediate Status:
% 99.85/100.29 Generated: 263322
% 99.85/100.29 Kept: 83904
% 99.85/100.29 Inuse: 1524
% 99.85/100.29 Deleted: 3549
% 99.85/100.29 Deletedinuse: 31
% 99.85/100.29
% 99.85/100.29 Resimplifying inuse:
% 99.85/100.29 Done
% 99.85/100.29
% 99.85/100.29 Resimplifying inuse:
% 99.85/100.29 Done
% 99.85/100.29
% 99.85/100.29
% 99.85/100.29 Intermediate Status:
% 99.85/100.29 Generated: 269854
% 99.85/100.29 Kept: 85911
% 99.85/100.29 Inuse: 1545
% 99.85/100.29 Deleted: 3551
% 99.85/100.29 Deletedinuse: 33
% 99.85/100.29
% 99.85/100.29 Resimplifying inuse:
% 99.85/100.29 Done
% 99.85/100.29
% 99.85/100.29
% 99.85/100.29 Intermediate Status:
% 99.85/100.29 Generated: 285232
% 99.85/100.29 Kept: 89556
% 99.85/100.29 Inuse: 1569
% 99.85/100.29 Deleted: 3551
% 99.85/100.29 Deletedinuse: 33
% 99.85/100.29
% 99.85/100.29 Resimplifying inuse:
% 99.85/100.29 Done
% 99.85/100.29
% 99.85/100.29 *** allocated 2919240 integers for termspace/termends
% 99.85/100.29
% 99.85/100.29 Intermediate Status:
% 99.85/100.29 Generated: 292433
% 99.85/100.29 Kept: 93786
% 99.85/100.29 Inuse: 1589
% 99.85/100.29 Deleted: 3551
% 99.85/100.29 Deletedinuse: 33
% 99.85/100.29
% 99.85/100.29 Resimplifying inuse:
% 99.85/100.29 Done
% 99.85/100.29
% 99.85/100.29 *** allocated 6568290 integers for clauses
% 99.85/100.29
% 99.85/100.29 Intermediate Status:
% 99.85/100.29 Generated: 307135
% 99.85/100.29 Kept: 97074
% 99.85/100.29 Inuse: 1614
% 99.85/100.29 Deleted: 3551
% 99.85/100.29 Deletedinuse: 33
% 99.85/100.29
% 99.85/100.29 Resimplifying inuse:
% 99.85/100.29 Done
% 99.85/100.29
% 99.85/100.29
% 99.85/100.29 Intermediate Status:
% 99.85/100.29 Generated: 314584
% 99.85/100.29 Kept: 101441
% 99.85/100.29 Inuse: 1634
% 99.85/100.29 Deleted: 3551
% 99.85/100.29 Deletedinuse: 33
% 99.85/100.29
% 99.85/100.29 Resimplifying inuse:
% 99.85/100.29 Done
% 99.85/100.29
% 99.85/100.29 Resimplifying clauses:
% 99.85/100.29 Done
% 99.85/100.29
% 99.85/100.29 Resimplifying inuse:
% 99.85/100.29 Done
% 99.85/100.29
% 99.85/100.29
% 99.85/100.29 Intermediate Status:
% 99.85/100.29 Generated: 326391
% 99.85/100.29 Kept: 104571
% 99.85/100.29 Inuse: 1659
% 99.85/100.29 Deleted: 3642
% 99.85/100.29 Deletedinuse: 33
% 99.85/100.29
% 99.85/100.29 Resimplifying inuse:
% 99.85/100.29 Done
% 99.85/100.29
% 99.85/100.29 Resimplifying inuse:
% 99.85/100.29 Done
% 99.85/100.29
% 99.85/100.29
% 99.85/100.29 Intermediate Status:
% 99.85/100.29 Generated: 333097
% 99.85/100.29 Kept: 106644
% 99.85/100.29 Inuse: 1679
% 99.85/100.29 Deleted: 3644
% 99.85/100.29 Deletedinuse: 35
% 99.85/100.29
% 99.85/100.29
% 99.85/100.29 Intermediate Status:
% 99.85/100.29 Generated: 339771
% 99.85/100.29 Kept: 109800
% 99.85/100.29 Inuse: 1700
% 99.85/100.29 Deleted: 3644
% 99.85/100.29 Deletedinuse: 35
% 99.85/100.29
% 99.85/100.29 Resimplifying inuse:
% 99.85/100.29 Done
% 99.85/100.29
% 99.85/100.29 Resimplifying inuse:
% 99.85/100.29 Done
% 99.85/100.29
% 99.85/100.29
% 99.85/100.29 Intermediate Status:
% 99.85/100.29 Generated: 346170
% 99.85/100.29 Kept: 111951
% 99.85/100.29 Inuse: 1733
% 99.85/100.29 Deleted: 3645
% 99.85/100.29 Deletedinuse: 35
% 99.85/100.29
% 99.85/100.29 Resimplifying inuse:
% 99.85/100.29 Done
% 99.85/100.29
% 99.85/100.29 Resimplifying inuse:
% 99.85/100.29 Done
% 99.85/100.29
% 99.85/100.29
% 99.85/100.29 Intermediate Status:
% 99.85/100.29 Generated: 356481
% 99.85/100.29 Kept: 114018
% 99.85/100.29 Inuse: 1778
% 99.85/100.29 Deleted: 3645
% 99.85/100.29 Deletedinuse: 35
% 99.85/100.29
% 99.85/100.29 Resimplifying inuse:
% 99.85/100.29 Done
% 99.85/100.29
% 99.85/100.29 Resimplifying inuse:
% 99.85/100.29 Done
% 99.85/100.29
% 99.85/100.29
% 99.85/100.29 Intermediate Status:
% 99.85/100.29 Generated: 361426
% 99.85/100.29 Kept: 116068
% 99.85/100.29 Inuse: 1833
% 99.85/100.29 Deleted: 3645
% 99.85/100.29 Deletedinuse: 35
% 99.85/100.29
% 99.85/100.29 Resimplifying inuse:
% 99.85/100.29 Done
% 99.85/100.29
% 99.85/100.29 Resimplifying inuse:
% 99.85/100.29 Done
% 99.85/100.29
% 99.85/100.29
% 99.85/100.29 Intermediate Status:
% 99.85/100.29 Generated: 365896
% 99.85/100.29 Kept: 118086
% 99.85/100.29 Inuse: 1891
% 99.85/100.29 Deleted: 3645
% 99.85/100.29 Deletedinuse: 35
% 284.59/285.03
% 284.59/285.03 Resimplifying inuse:
% 284.59/285.03 Done
% 284.59/285.03
% 284.59/285.03 Resimplifying inuse:
% 284.59/285.03 Done
% 284.59/285.03
% 284.59/285.03
% 284.59/285.03 Intermediate Status:
% 284.59/285.03 Generated: 370437
% 284.59/285.03 Kept: 120139
% 284.59/285.03 Inuse: 1943
% 284.59/285.03 Deleted: 3645
% 284.59/285.03 Deletedinuse: 35
% 284.59/285.03
% 284.59/285.03 Resimplifying inuse:
% 284.59/285.03 Done
% 284.59/285.03
% 284.59/285.03 Resimplifying clauses:
% 284.59/285.03 Done
% 284.59/285.03
% 284.59/285.03 Resimplifying inuse:
% 284.59/285.03 Done
% 284.59/285.03
% 284.59/285.03
% 284.59/285.03 Intermediate Status:
% 284.59/285.03 Generated: 374757
% 284.59/285.03 Kept: 122263
% 284.59/285.03 Inuse: 2010
% 284.59/285.03 Deleted: 3841
% 284.59/285.03 Deletedinuse: 35
% 284.59/285.03
% 284.59/285.03
% 284.59/285.03 Intermediate Status:
% 284.59/285.03 Generated: 380436
% 284.59/285.03 Kept: 125184
% 284.59/285.03 Inuse: 2014
% 284.59/285.03 Deleted: 3841
% 284.59/285.03 Deletedinuse: 35
% 284.59/285.03
% 284.59/285.03 Resimplifying inuse:
% 284.59/285.03 Done
% 284.59/285.03
% 284.59/285.03 Resimplifying inuse:
% 284.59/285.03 Done
% 284.59/285.03
% 284.59/285.03
% 284.59/285.03 Intermediate Status:
% 284.59/285.03 Generated: 384875
% 284.59/285.03 Kept: 127188
% 284.59/285.03 Inuse: 2057
% 284.59/285.03 Deleted: 3842
% 284.59/285.03 Deletedinuse: 35
% 284.59/285.03
% 284.59/285.03 Resimplifying inuse:
% 284.59/285.03 Done
% 284.59/285.03
% 284.59/285.03 Resimplifying inuse:
% 284.59/285.03 Done
% 284.59/285.03
% 284.59/285.03
% 284.59/285.03 Intermediate Status:
% 284.59/285.03 Generated: 389604
% 284.59/285.03 Kept: 129246
% 284.59/285.03 Inuse: 2109
% 284.59/285.03 Deleted: 3842
% 284.59/285.03 Deletedinuse: 35
% 284.59/285.03
% 284.59/285.03 Resimplifying inuse:
% 284.59/285.03 Done
% 284.59/285.03
% 284.59/285.03
% 284.59/285.03 Intermediate Status:
% 284.59/285.03 Generated: 398120
% 284.59/285.03 Kept: 131813
% 284.59/285.03 Inuse: 2129
% 284.59/285.03 Deleted: 3842
% 284.59/285.03 Deletedinuse: 35
% 284.59/285.03
% 284.59/285.03 Resimplifying inuse:
% 284.59/285.03 Done
% 284.59/285.03
% 284.59/285.03 Resimplifying inuse:
% 284.59/285.03 Done
% 284.59/285.03
% 284.59/285.03
% 284.59/285.03 Intermediate Status:
% 284.59/285.03 Generated: 404279
% 284.59/285.03 Kept: 133905
% 284.59/285.03 Inuse: 2189
% 284.59/285.03 Deleted: 3842
% 284.59/285.03 Deletedinuse: 35
% 284.59/285.03
% 284.59/285.03 Resimplifying inuse:
% 284.59/285.03 Done
% 284.59/285.03
% 284.59/285.03 *** allocated 4378860 integers for termspace/termends
% 284.59/285.03 Resimplifying inuse:
% 284.59/285.03 Done
% 284.59/285.03
% 284.59/285.03
% 284.59/285.03 Intermediate Status:
% 284.59/285.03 Generated: 408743
% 284.59/285.03 Kept: 135962
% 284.59/285.03 Inuse: 2234
% 284.59/285.03 Deleted: 3842
% 284.59/285.03 Deletedinuse: 35
% 284.59/285.03
% 284.59/285.03 Resimplifying inuse:
% 284.59/285.03 Done
% 284.59/285.03
% 284.59/285.03 Resimplifying inuse:
% 284.59/285.03 Done
% 284.59/285.03
% 284.59/285.03
% 284.59/285.03 Intermediate Status:
% 284.59/285.03 Generated: 412951
% 284.59/285.03 Kept: 138044
% 284.59/285.03 Inuse: 2299
% 284.59/285.03 Deleted: 3842
% 284.59/285.03 Deletedinuse: 35
% 284.59/285.03
% 284.59/285.03 Resimplifying inuse:
% 284.59/285.03 Done
% 284.59/285.03
% 284.59/285.03 Resimplifying inuse:
% 284.59/285.03 Done
% 284.59/285.03
% 284.59/285.03
% 284.59/285.03 Intermediate Status:
% 284.59/285.03 Generated: 422323
% 284.59/285.03 Kept: 142836
% 284.59/285.03 Inuse: 2353
% 284.59/285.03 Deleted: 3846
% 284.59/285.03 Deletedinuse: 37
% 284.59/285.03
% 284.59/285.03 Resimplifying inuse:
% 284.59/285.03 Done
% 284.59/285.03
% 284.59/285.03 Resimplifying clauses:
% 284.59/285.03 Done
% 284.59/285.03
% 284.59/285.03 Resimplifying inuse:
% 284.59/285.03 Done
% 284.59/285.03
% 284.59/285.03
% 284.59/285.03 Intermediate Status:
% 284.59/285.03 Generated: 426601
% 284.59/285.03 Kept: 144850
% 284.59/285.03 Inuse: 2397
% 284.59/285.03 Deleted: 4138
% 284.59/285.03 Deletedinuse: 37
% 284.59/285.03
% 284.59/285.03 Resimplifying inuse:
% 284.59/285.03 Done
% 284.59/285.03
% 284.59/285.03 Resimplifying inuse:
% 284.59/285.03 Done
% 284.59/285.03
% 284.59/285.03
% 284.59/285.03 Intermediate Status:
% 284.59/285.03 Generated: 431408
% 284.59/285.03 Kept: 146870
% 284.59/285.03 Inuse: 2451
% 284.59/285.03 Deleted: 4138
% 284.59/285.03 Deletedinuse: 37
% 284.59/285.03
% 284.59/285.03 Resimplifying inuse:
% 284.59/285.03 Done
% 284.59/285.03
% 284.59/285.03 Resimplifying inuse:
% 284.59/285.03 Done
% 284.59/285.03
% 284.59/285.03
% 284.59/285.03 Intermediate Status:
% 284.59/285.03 Generated: 435903
% 284.59/285.03 Kept: 149009
% 284.59/285.03 Inuse: 2492
% 284.59/285.03 Deleted: 4138
% 284.59/285.03 Deletedinuse: 37
% 284.59/285.03
% 284.59/285.03 Resimplifying inuse:
% 284.59/285.03 Done
% 284.59/285.03
% 284.59/285.03 *** allocated 9852435 integers for clauses
% 284.59/285.03
% 284.59/285.03 Intermediate Status:
% 284.59/285.03 Generated: 460773
% 284.59/285.03 Kept: 153796
% 284.59/285.03 Inuse: 2512
% 284.59/285.03 Deleted: 4138
% 284.59/285.03 Deletedinuse: 37
% 284.59/285.03
% 284.59/285.03 Resimplifying inuse:
% 284.59/285.03 Done
% 284.59/285.03
% 284.59/285.03
% 284.59/285.03 Intermediate Status:
% 284.59/285.03 Generated: 471289
% 284.59/285.03 Kept: 156349
% 284.59/285.03 Inuse: 2522
% 284.59/285.03 Deleted: 4138
% 284.59/285.03 Deletedinuse: 37
% 284.59/285.03
% 284.59/285.03 Resimplifying inuse:
% 284.59/285.03 Done
% 284.59/285.03
% 284.59/285.03 Resimplifying inuse:
% 284.59/285.03 Done
% 284.59/285.03
% 284.59/285.03
% 284.59/285.03 Intermediate Status:
% 284.59/285.03 Generated: 476166
% 284.59/285.03 Kept: 158618
% 284.59/285.03 Inuse: 2547
% 284.59/285.03 Deleted: 4138
% 284.59/285.03 Deletedinuse: 37
% 284.59/285.03
% 284.59/285.03 Resimplifying inuse:
% 284.59/285.03 Done
% 284.59/285.03
% 284.59/285.03 Resimplifying inuse:
% 284.59/285.03 Done
% 284.59/285.03
% 284.59/285.03
% 284.59/285.03 Intermediate Status:
% 284.59/285.03 Generated: 482861
% 284.59/285.03 Kept: 160638
% 284.59/285.03 Inuse: 2593
% 284.59/285.03 Deleted: 4149
% 284.59/285.03 Deletedinuse: 45
% 284.59/285.03
% 284.59/285.03 Resimplifying inuse:
% 284.59/285.03 Done
% 284.59/285.03
% 284.59/285.03 Resimplifying inuse:
% 284.59/285.03 Done
% 284.59/285.03
% 284.59/285.03
% 284.59/285.03 Intermediate Status:
% 284.59/285.03 Generated: 489619
% 284.59/285.03 Kept: 162640
% 284.59/285.03 Inuse: 2635
% 284.59/285.03 Deleted: 4151
% 284.59/285.03 Deletedinuse: 45
% 284.59/285.03
% 284.59/285.03 Resimplifying inuse:
% 284.59/285.03 Done
% 284.59/285.03
% 284.59/285.03
% 284.59/285.03 Intermediate Status:
% 284.59/285.03 Generated: 496891
% 284.59/285.03 Kept: 166109
% 284.59/285.03 Inuse: 2638
% 284.59/285.03 Deleted: 4151
% 284.59/285.03 Deletedinuse: 45
% 284.59/285.03
% 284.59/285.03 Resimplifying inuse:
% 284.59/285.03 Done
% 284.59/285.03
% 284.59/285.03 Resimplifying clauses:
% 284.59/285.03 Done
% 284.59/285.03
% 284.59/285.03
% 284.59/285.03 Intermediate Status:
% 284.59/285.03 Generated: 527224
% 284.59/285.03 Kept: 170259
% 284.59/285.03 Inuse: 2647
% 284.59/285.03 Deleted: 5666
% 284.59/285.03 Deletedinuse: 45
% 284.59/285.03
% 284.59/285.03 Resimplifying inuse:
% 284.59/285.03 Done
% 284.59/285.03
% 284.59/285.03
% 284.59/285.03 Intermediate Status:
% 284.59/285.03 Generated: 557640
% 284.59/285.03 Kept: 174612
% 284.59/285.03 Inuse: 2657
% 284.59/285.03 Deleted: 5666
% 284.59/285.03 Deletedinuse: 45
% 284.59/285.03
% 284.59/285.03 Resimplifying inuse:
% 284.59/285.03 Done
% 284.59/285.03
% 284.59/285.03
% 284.59/285.03 Intermediate Status:
% 284.59/285.03 Generated: 578167
% 284.59/285.03 Kept: 178446
% 284.59/285.03 Inuse: 2667
% 284.59/285.03 Deleted: 5666
% 284.59/285.03 Deletedinuse: 45
% 284.59/285.03
% 284.59/285.03 Resimplifying inuse:
% 284.59/285.03 Done
% 284.59/285.03
% 284.59/285.03 Resimplifying inuse:
% 284.59/285.03 Done
% 284.59/285.03
% 284.59/285.03
% 284.59/285.03 Intermediate Status:
% 284.59/285.03 Generated: 598893
% 284.59/285.03 Kept: 184202
% 284.59/285.03 Inuse: 2692
% 284.59/285.03 Deleted: 5666
% 284.59/285.03 Deletedinuse: 45
% 284.59/285.03
% 284.59/285.03 Resimplifying inuse:
% 284.59/285.03 Done
% 284.59/285.03
% 284.59/285.03
% 284.59/285.03 Intermediate Status:
% 284.59/285.03 Generated: 614025
% 284.59/285.03 Kept: 186958
% 284.59/285.03 Inuse: 2702
% 284.59/285.03 Deleted: 5666
% 284.59/285.03 DeletedCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------