TSTP Solution File: SWW217+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWW217+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 23:21:18 EDT 2022
% Result : Timeout 300.03s 300.41s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW217+1 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sun Jun 5 19:31:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.95/1.58 *** allocated 10000 integers for termspace/termends
% 0.95/1.58 *** allocated 10000 integers for clauses
% 0.95/1.58 *** allocated 10000 integers for justifications
% 0.95/1.58 *** allocated 15000 integers for termspace/termends
% 0.95/1.58 *** allocated 22500 integers for termspace/termends
% 0.95/1.58 *** allocated 33750 integers for termspace/termends
% 0.95/1.58 Bliksem 1.12
% 0.95/1.58
% 0.95/1.58
% 0.95/1.58 Automatic Strategy Selection
% 0.95/1.58
% 0.95/1.58 *** allocated 50625 integers for termspace/termends
% 0.95/1.58 *** allocated 75937 integers for termspace/termends
% 0.95/1.58 *** allocated 113905 integers for termspace/termends
% 0.95/1.58
% 0.95/1.58 Clauses:
% 0.95/1.58
% 0.95/1.58 { ! hAPP( Y, skol1( X, Y ) ) = hAPP( X, skol1( X, Y ) ), Y = X }.
% 0.95/1.58 { ! v_w____ = v_z }.
% 0.95/1.58 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), v_e ) }.
% 0.95/1.58 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.58 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.95/1.58 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, v_w____, v_z ) ),
% 0.95/1.58 v_da____ ) }.
% 0.95/1.58 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), v_da____ ), v_m____ )
% 0.95/1.58 , v_e ) }.
% 0.95/1.58 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol2 ) }.
% 0.95/1.58 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.95/1.58 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.95/1.58 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z ) ) ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.58 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.95/1.58 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z ) ), skol2 ),
% 0.95/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.58 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.95/1.58 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, hAPP(
% 0.95/1.58 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_cs____ ),
% 0.95/1.58 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z ) ), hAPP(
% 0.95/1.58 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_cs____ ),
% 0.95/1.58 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, v_z, v_z ) ) ) ), v_e
% 0.95/1.58 ) }.
% 0.95/1.58 { ! class_RealVector_Oreal__normed__algebra( X ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.58 c_RealVector_Onorm__class_Onorm( X, Z ), Y ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.58 c_RealVector_Onorm__class_Onorm( X, U ), T ),
% 0.95/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.58 c_RealVector_Onorm__class_Onorm( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), Z ), U ) ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Y ), T ) ) }.
% 0.95/1.58 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ),
% 0.95/1.58 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.95/1.58 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, v_w____, v_z ) ) ),
% 0.95/1.58 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.95/1.58 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_cs____ ),
% 0.95/1.58 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, v_w____, v_z ) ) ) )
% 0.95/1.58 , hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), v_da____
% 0.95/1.58 ), v_m____ ) ) }.
% 0.95/1.58 { ! class_RealVector_Oreal__normed__div__algebra( X ),
% 0.95/1.58 c_RealVector_Onorm__class_Onorm( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) = hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ),
% 0.95/1.58 c_RealVector_Onorm__class_Onorm( X, Z ) ),
% 0.95/1.58 c_RealVector_Onorm__class_Onorm( X, Y ) ) }.
% 0.95/1.58 { hAPP( c_Polynomial_Opoly( tc_Complex_Ocomplex, v_q____ ),
% 0.95/1.58 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z ) ) = hAPP(
% 0.95/1.58 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), X ) }.
% 0.95/1.58 { ! class_Rings_Ocomm__ring( X ), hAPP( c_Polynomial_Opoly( X,
% 0.95/1.58 c_Groups_Ominus__class_Ominus( tc_Polynomial_Opoly( X ), T, Z ) ), Y ) =
% 0.95/1.58 c_Groups_Ominus__class_Ominus( X, hAPP( c_Polynomial_Opoly( X, T ), Y ),
% 0.95/1.58 hAPP( c_Polynomial_Opoly( X, Z ), Y ) ) }.
% 0.95/1.58 { ! class_Rings_Ocomm__semiring__0( X ), hAPP( c_Polynomial_Opoly( X, hAPP
% 0.95/1.58 ( hAPP( c_Groups_Otimes__class_Otimes( tc_Polynomial_Opoly( X ) ), T ), Z
% 0.95/1.58 ) ), Y ) = hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), hAPP(
% 0.95/1.58 c_Polynomial_Opoly( X, T ), Y ) ), hAPP( c_Polynomial_Opoly( X, Z ), Y )
% 0.95/1.58 ) }.
% 0.95/1.58 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.95/1.58 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X, Z,
% 0.95/1.58 Y ) ) = c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus
% 0.95/1.58 ( X, Y, Z ) ) }.
% 0.95/1.58 { ! class_RealVector_Oreal__normed__algebra( X ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), T ), c_Groups_Ominus__class_Ominus( X
% 0.95/1.58 , Z, Y ) ) = c_Groups_Ominus__class_Ominus( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ) }.
% 0.95/1.58 { ! class_RealVector_Oreal__normed__algebra( X ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), T ), c_Groups_Ominus__class_Ominus( X
% 0.95/1.58 , Z, Y ) ) = c_Groups_Ominus__class_Ominus( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ) }.
% 0.95/1.58 { ! class_RealVector_Oreal__normed__algebra( X ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), c_Groups_Ominus__class_Ominus( X, T,
% 0.95/1.58 Z ) ), Y ) = c_Groups_Ominus__class_Ominus( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), T ), Y ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) }.
% 0.95/1.58 { ! class_RealVector_Oreal__normed__algebra( X ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), c_Groups_Ominus__class_Ominus( X, T,
% 0.95/1.58 Z ) ), Y ) = c_Groups_Ominus__class_Ominus( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), T ), Y ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) }.
% 0.95/1.58 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), v_m____ ) }.
% 0.95/1.58 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), v_da____ ) }.
% 0.95/1.58 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), v_d____ ) }.
% 0.95/1.58 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), v_da____ ) }.
% 0.95/1.58 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.58 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.95/1.58 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, v_w____, v_z ) ),
% 0.95/1.58 v_da____ ) }.
% 0.95/1.58 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, v_da____,
% 0.95/1.58 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.95/1.58 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, v_da____,
% 0.95/1.58 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, v_e, v_m____ ) ) }.
% 0.95/1.58 { c_Polynomial_Odegree( tc_Complex_Ocomplex, v_q____ ) =
% 0.95/1.58 c_Polynomial_Odegree( tc_Complex_Ocomplex, v_p ) }.
% 0.95/1.58 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.95/1.58 c_RealVector_Onorm__class_Onorm( X, Y ) ) }.
% 0.95/1.58 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.95/1.58 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.95/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.95/1.58 { ! class_Rings_Ocomm__semiring__0( X ), hAPP( c_Polynomial_Opoly( X,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ), Y ) =
% 0.95/1.58 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.58 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.95/1.58 c_RealVector_Onorm__class_Onorm( X, Y ) = c_Groups_Ozero__class_Ozero(
% 0.95/1.58 tc_RealDef_Oreal ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.58 { ! class_RealVector_Oreal__normed__vector( X ), ! Y =
% 0.95/1.58 c_Groups_Ozero__class_Ozero( X ), c_RealVector_Onorm__class_Onorm( X, Y )
% 0.95/1.58 = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.95/1.58 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.58 c_RealVector_Onorm__class_Onorm( X, Y ), c_Groups_Ozero__class_Ozero(
% 0.95/1.58 tc_RealDef_Oreal ) ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.58 { ! class_RealVector_Oreal__normed__vector( X ), ! Y =
% 0.95/1.58 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless__eq(
% 0.95/1.58 tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( X, Y ),
% 0.95/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.95/1.58 { ! class_RealVector_Oreal__normed__algebra( X ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), Y ), c_Groups_Ozero__class_Ozero( X )
% 0.95/1.58 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.58 { ! class_RealVector_Oreal__normed__algebra( X ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), Y ), c_Groups_Ozero__class_Ozero( X )
% 0.95/1.58 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.58 { ! class_RealVector_Oreal__normed__algebra( X ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), c_Groups_Ozero__class_Ozero( X ) ), Y
% 0.95/1.58 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.58 { ! class_RealVector_Oreal__normed__algebra( X ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), c_Groups_Ozero__class_Ozero( X ) ), Y
% 0.95/1.58 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.58 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.95/1.58 c_RealVector_Onorm__class_Onorm( X, Y ) ), ! Y =
% 0.95/1.58 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.58 { ! class_RealVector_Oreal__normed__vector( X ), Y =
% 0.95/1.58 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless(
% 0.95/1.58 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.95/1.58 c_RealVector_Onorm__class_Onorm( X, Y ) ) }.
% 0.95/1.58 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.58 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.95/1.58 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.95/1.58 ( X, Y ) ), c_RealVector_Onorm__class_Onorm( X,
% 0.95/1.58 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) ) }.
% 0.95/1.58 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.58 c_RealVector_Onorm__class_Onorm( X, Y ), c_Groups_Ozero__class_Ozero(
% 0.95/1.58 tc_RealDef_Oreal ) ) }.
% 0.95/1.58 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.58 c_RealVector_Onorm__class_Onorm( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ),
% 0.95/1.58 c_RealVector_Onorm__class_Onorm( X, Z ) ),
% 0.95/1.58 c_RealVector_Onorm__class_Onorm( X, Y ) ) ) }.
% 0.95/1.58 { ! class_Int_Oring__char__0( X ), ! class_Rings_Oidom( X ), !
% 0.95/1.58 c_Polynomial_Opoly( X, Z ) = c_Polynomial_Opoly( X, Y ), Z = Y }.
% 0.95/1.58 { ! class_Int_Oring__char__0( X ), ! class_Rings_Oidom( X ), ! Z = Y,
% 0.95/1.58 c_Polynomial_Opoly( X, Z ) = c_Polynomial_Opoly( X, Y ) }.
% 0.95/1.58 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), v_d____ ), v_m____ ),
% 0.95/1.58 v_e ) }.
% 0.95/1.58 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), v_d____ ), v_m____ ) )
% 0.95/1.58 }.
% 0.95/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.58 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ),
% 0.95/1.58 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.58 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.95/1.58 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_cs____ ), X ) ), v_m____ ) }.
% 0.95/1.58 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.58 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.95/1.58 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, v_w____, v_z ) ),
% 0.95/1.58 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.95/1.58 { hAPP( c_Polynomial_Opoly( tc_Complex_Ocomplex, v_q____ ), X ) = hAPP(
% 0.95/1.58 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ),
% 0.95/1.58 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, v_z, X ) ) }.
% 0.95/1.58 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.58 c_RealVector_Onorm__class_Onorm( X, Z ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Y ),
% 0.95/1.58 c_RealVector_Onorm__class_Onorm( X, T ) ) ), Z =
% 0.95/1.58 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.58 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.95/1.58 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, v_e, v_m____ ) ) }.
% 0.95/1.58 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), X ), Z ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), X ), Y ) ),
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ) }.
% 0.95/1.58 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ),
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), X ), Z ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), X ), Y ) ) }.
% 0.95/1.58 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Z ), X ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Y ), X ) ),
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ) }.
% 0.95/1.58 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ),
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Z ), X ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Y ), X ) ) }.
% 0.95/1.58 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.95/1.58 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.95/1.58 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.95/1.58 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.95/1.58 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, v_d____,
% 0.95/1.58 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.95/1.58 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.95/1.58 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.95/1.58 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, v_d____,
% 0.95/1.58 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, v_e, v_m____ ) ) }.
% 0.95/1.58 { ! class_Groups_Ozero( X ), c_Polynomial_Odegree( X,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ) =
% 0.95/1.58 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.58 { ! class_Rings_Odivision__ring__inverse__zero( X ), ! Y =
% 0.95/1.58 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.95/1.58 Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.58 { ! class_Rings_Odivision__ring__inverse__zero( X ), Y =
% 0.95/1.58 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.95/1.58 Y ) = c_Groups_Oone__class_Oone( X ) }.
% 0.95/1.58 { ! class_RealVector_Oreal__normed__field( X ),
% 0.95/1.58 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, T, Z
% 0.95/1.58 ), Y ) = c_Groups_Oplus__class_Oplus( X, c_Rings_Oinverse__class_Odivide
% 0.95/1.58 ( X, T, Y ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.95/1.58 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.58 , c_Rings_Oinverse__class_Odivide( X, Y, Y ) = c_Groups_Oone__class_Oone
% 0.95/1.58 ( X ) }.
% 0.95/1.58 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.58 , ! c_Rings_Oinverse__class_Odivide( X, Z, Y ) =
% 0.95/1.58 c_Groups_Oone__class_Oone( X ), Z = Y }.
% 0.95/1.58 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.58 , ! Z = Y, c_Rings_Oinverse__class_Odivide( X, Z, Y ) =
% 0.95/1.58 c_Groups_Oone__class_Oone( X ) }.
% 0.95/1.58 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.95/1.58 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.95/1.58 ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ),
% 0.95/1.58 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.95/1.58 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X, Y
% 0.95/1.58 , c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.95/1.58 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.95/1.58 , Y, c_Groups_Oplus__class_Oplus( X, Y, c_Groups_Oone__class_Oone( X ) )
% 0.95/1.58 ) }.
% 0.95/1.58 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.95/1.58 class_RealVector_Oreal__normed__field( X ),
% 0.95/1.58 c_RealVector_Onorm__class_Onorm( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.95/1.58 , Y ) ) = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.95/1.58 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.95/1.58 ( X, Y ) ) }.
% 0.95/1.58 { ! class_Rings_Odivision__ring__inverse__zero( X ),
% 0.95/1.58 c_Rings_Oinverse__class_Odivide( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.95/1.58 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.58 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.58 }.
% 0.95/1.58 { ! class_RealVector_Oreal__normed__algebra__1( X ),
% 0.95/1.58 c_RealVector_Onorm__class_Onorm( X, c_Groups_Oone__class_Oone( X ) ) =
% 0.95/1.58 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.95/1.58 { ! class_Rings_Odivision__ring( X ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), T ), c_Rings_Oinverse__class_Odivide
% 0.95/1.58 ( X, Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), T ), Z ), Y ) }.
% 0.95/1.58 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.95/1.58 c_Groups_Ominus__class_Ominus( X, T, Z ), Y ) =
% 0.95/1.58 c_Groups_Ominus__class_Ominus( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.95/1.58 Y ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.95/1.58 { ! class_Rings_Ocomm__semiring( X ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), c_Groups_Oplus__class_Oplus( X, T, Z
% 0.95/1.58 ) ), Y ) = c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), T ), Y ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) }.
% 0.95/1.58 { ! class_Rings_Osemiring( X ), c_Groups_Oplus__class_Oplus( X, hAPP( hAPP
% 0.95/1.58 ( c_Groups_Otimes__class_Otimes( X ), U ), T ),
% 0.95/1.58 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.95/1.58 ( X ), Z ), T ), Y ) ) = c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), c_Groups_Oplus__class_Oplus( X, U, Z
% 0.95/1.58 ) ), T ), Y ) }.
% 0.95/1.58 { ! class_Rings_Ocomm__semiring__0( X ), hAPP( c_Polynomial_Opoly( X,
% 0.95/1.58 c_Groups_Oplus__class_Oplus( tc_Polynomial_Opoly( X ), T, Z ) ), Y ) =
% 0.95/1.58 c_Groups_Oplus__class_Oplus( X, hAPP( c_Polynomial_Opoly( X, T ), Y ),
% 0.95/1.58 hAPP( c_Polynomial_Opoly( X, Z ), Y ) ) }.
% 0.95/1.58 { ! class_Rings_Ozero__neq__one( X ), ! c_Groups_Ozero__class_Ozero( X ) =
% 0.95/1.58 c_Groups_Oone__class_Oone( X ) }.
% 0.95/1.58 { ! class_Rings_Ozero__neq__one( X ), ! c_Groups_Oone__class_Oone( X ) =
% 0.95/1.58 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.58 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( c_Polynomial_Opoly( X,
% 0.95/1.58 c_Groups_Oone__class_Oone( tc_Polynomial_Opoly( X ) ) ), Y ) =
% 0.95/1.58 c_Groups_Oone__class_Oone( X ) }.
% 0.95/1.58 { ! class_Groups_Oab__group__add( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.58 tc_Nat_Onat, c_Polynomial_Odegree( X, Z ), Y ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Polynomial_Odegree( X, T )
% 0.95/1.58 , Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Polynomial_Odegree(
% 0.95/1.58 X, c_Groups_Ominus__class_Ominus( tc_Polynomial_Opoly( X ), Z, T ) ), Y )
% 0.95/1.58 }.
% 0.95/1.58 { ! class_Groups_Oab__group__add( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.95/1.58 ( tc_Nat_Onat, c_Polynomial_Odegree( X, Z ), Y ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Polynomial_Odegree( X,
% 0.95/1.58 T ), Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.58 c_Polynomial_Odegree( X, c_Groups_Ominus__class_Ominus(
% 0.95/1.58 tc_Polynomial_Opoly( X ), Z, T ) ), Y ) }.
% 0.95/1.58 { ! c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) =
% 0.95/1.58 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.95/1.58 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ),
% 0.95/1.58 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), X ) = X }.
% 0.95/1.58 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.95/1.58 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.58 c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ) ) }.
% 0.95/1.58 { ! class_Rings_Oring__1( X ), c_Groups_Ominus__class_Ominus( X, hAPP( hAPP
% 0.95/1.58 ( c_Groups_Otimes__class_Otimes( X ), Y ), Y ), c_Groups_Oone__class_Oone
% 0.95/1.58 ( X ) ) = hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ),
% 0.95/1.58 c_Groups_Oplus__class_Oplus( X, Y, c_Groups_Oone__class_Oone( X ) ) ),
% 0.95/1.58 c_Groups_Ominus__class_Ominus( X, Y, c_Groups_Oone__class_Oone( X ) ) ) }
% 0.95/1.58 .
% 0.95/1.58 { ! class_RealVector_Oreal__normed__field( X ), Y =
% 0.95/1.58 c_Groups_Ozero__class_Ozero( X ), c_RealVector_Onorm__class_Onorm( X,
% 0.95/1.58 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.95/1.58 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.95/1.58 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.95/1.58 ( X, Y ) ) }.
% 0.95/1.58 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.58 c_RealVector_Onorm__class_Onorm( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.95/1.58 ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.95/1.58 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.95/1.58 ( X, Y ) ) ) }.
% 0.95/1.58 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.58 c_RealVector_Onorm__class_Onorm( X, Z ), Y ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.58 c_RealVector_Onorm__class_Onorm( X, U ), T ),
% 0.95/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.58 c_RealVector_Onorm__class_Onorm( X, c_Groups_Oplus__class_Oplus( X, Z, U
% 0.95/1.58 ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, T ) ) }.
% 0.95/1.58 { ! class_Rings_Olinordered__semiring__1( X ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( X, T, Y ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.95/1.58 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.95/1.58 X ), W ), ! c_Groups_Oplus__class_Oplus( X, U, W ) =
% 0.95/1.58 c_Groups_Oone__class_Oone( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.58 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.95/1.58 ( X ), U ), Z ), hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), W ), T )
% 0.95/1.58 ), Y ) }.
% 0.95/1.58 { ! class_RealVector_Oreal__normed__field( X ),
% 0.95/1.58 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.95/1.58 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.58 { ! class_RealVector_Oreal__normed__field( X ),
% 0.95/1.58 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X, T,
% 0.95/1.58 Z ), Y ) = c_Groups_Ominus__class_Ominus( X,
% 0.95/1.58 c_Rings_Oinverse__class_Odivide( X, T, Y ),
% 0.95/1.58 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.95/1.58 { ! class_RealVector_Oreal__normed__algebra( X ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), T ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.58 Z, Y ) ) = c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ) }.
% 0.95/1.58 { ! class_RealVector_Oreal__normed__algebra( X ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), T ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.58 Z, Y ) ) = c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ) }.
% 0.95/1.58 { ! class_RealVector_Oreal__normed__algebra( X ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), c_Groups_Oplus__class_Oplus( X, T, Z
% 0.95/1.58 ) ), Y ) = c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), T ), Y ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) }.
% 0.95/1.58 { ! class_RealVector_Oreal__normed__algebra( X ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), c_Groups_Oplus__class_Oplus( X, T, Z
% 0.95/1.58 ) ), Y ) = c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), T ), Y ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) }.
% 0.95/1.58 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.58 , ! hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), T ), Y ) = Z, T =
% 0.95/1.58 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.95/1.58 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.58 , ! T = hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), Y ),
% 0.95/1.58 c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z }.
% 0.95/1.58 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.58 , ! c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z, T = hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) }.
% 0.95/1.58 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.58 , ! T = hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), Y ),
% 0.95/1.58 c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z }.
% 0.95/1.58 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.58 , ! T = c_Rings_Oinverse__class_Odivide( X, Z, Y ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), T ), Y ) = Z }.
% 0.95/1.58 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.58 , ! hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), T ), Y ) = Z, T =
% 0.95/1.58 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.95/1.58 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.95/1.58 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless( X, T, Z ), c_Orderings_Oord__class_Oless(
% 0.95/1.58 X, T, c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.95/1.58 { ! class_Rings_Olinordered__semidom( X ),
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.58 c_Groups_Oone__class_Oone( X ) ) }.
% 0.95/1.58 { ! class_Rings_Olinordered__semidom( X ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.95/1.58 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.58 { ! class_Rings_Oring( X ), c_Groups_Ominus__class_Ominus( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), U ), T ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) =
% 0.95/1.58 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.95/1.58 ( X ), U ), c_Groups_Ominus__class_Ominus( X, T, Y ) ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), c_Groups_Ominus__class_Ominus( X, U,
% 0.95/1.58 Z ) ), Y ) ) }.
% 0.95/1.58 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), W ), U ), T ) =
% 0.95/1.58 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.95/1.58 ( X ), Z ), U ), Y ), T = c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), c_Groups_Ominus__class_Ominus( X, Z,
% 0.95/1.58 W ) ), U ), Y ) }.
% 0.95/1.58 { ! class_Rings_Oring( X ), ! T = c_Groups_Oplus__class_Oplus( X, hAPP(
% 0.95/1.58 hAPP( c_Groups_Otimes__class_Otimes( X ), c_Groups_Ominus__class_Ominus(
% 0.95/1.58 X, Z, W ) ), U ), Y ), c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), W ), U ), T ) =
% 0.95/1.58 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.95/1.58 ( X ), Z ), U ), Y ) }.
% 0.95/1.58 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), W ), U ), T ) =
% 0.95/1.58 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.95/1.58 ( X ), Z ), U ), Y ), c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), c_Groups_Ominus__class_Ominus( X, W,
% 0.95/1.58 Z ) ), U ), T ) = Y }.
% 0.95/1.58 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), c_Groups_Ominus__class_Ominus( X, W,
% 0.95/1.58 Z ) ), U ), T ) = Y, c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), W ), U ), T ) =
% 0.95/1.58 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.95/1.58 ( X ), Z ), U ), Y ) }.
% 0.95/1.58 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.95/1.58 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.95/1.58 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.95/1.58 ( X, c_Groups_Oone__class_Oone( X ), c_Groups_Ozero__class_Ozero( X ) ) }
% 0.95/1.58 .
% 0.95/1.58 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.95/1.58 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.95/1.58 ( X, c_Groups_Oone__class_Oone( X ), Z ), c_Orderings_Oord__class_Oless(
% 0.95/1.58 X, c_Groups_Oone__class_Oone( X ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ) }.
% 0.95/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.95/1.58 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ), alpha1( X, Y
% 0.95/1.58 ) }.
% 0.95/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.95/1.58 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ), alpha27( X,
% 0.95/1.58 Y ) }.
% 0.95/1.58 { ! alpha1( X, Y ), ! alpha27( X, Y ), c_Orderings_Oord__class_Oless__eq(
% 0.95/1.58 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.95/1.58 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ) }.
% 0.95/1.58 { ! alpha27( X, Y ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.95/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), alpha27( X, Y ) }.
% 0.95/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), alpha27( X, Y ) }.
% 0.95/1.58 { ! alpha1( X, Y ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y
% 0.95/1.58 , c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }.
% 0.95/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), alpha1( X, Y ) }.
% 0.95/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), alpha1( X, Y ) }.
% 0.95/1.58 { ! class_Int_Oring__char__0( X ), ! class_Rings_Oidom( X ), !
% 0.95/1.58 c_Polynomial_Opoly( X, Y ) = c_Polynomial_Opoly( X,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ), Y =
% 0.95/1.58 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.58 { ! class_Int_Oring__char__0( X ), ! class_Rings_Oidom( X ), ! Y =
% 0.95/1.58 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ),
% 0.95/1.58 c_Polynomial_Opoly( X, Y ) = c_Polynomial_Opoly( X,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ) }.
% 0.95/1.58 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.58 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X,
% 0.95/1.58 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.95/1.58 , Y ) ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.95/1.58 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X, U,
% 0.95/1.58 Z ) ), c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus
% 0.95/1.58 ( X, T, Y ) ) ) ) }.
% 0.95/1.58 { ! class_Rings_Olinordered__semiring__1__strict( X ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.95/1.58 ( X, T, Y ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( X ), U ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), W
% 0.95/1.58 ), ! c_Groups_Oplus__class_Oplus( X, U, W ) = c_Groups_Oone__class_Oone
% 0.95/1.58 ( X ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 0.95/1.58 hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), U ), Z ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), W ), T ) ), Y ) }.
% 0.95/1.58 { ! class_Rings_Ocomm__semiring__0( X ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( tc_Polynomial_Opoly( X ) ), Y ),
% 0.95/1.58 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ) =
% 0.95/1.58 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.58 { ! class_Rings_Ocomm__semiring__0( X ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( tc_Polynomial_Opoly( X ) ),
% 0.95/1.58 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ), Y ) =
% 0.95/1.58 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.58 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus(
% 0.95/1.58 tc_Polynomial_Opoly( X ), Y, c_Groups_Ozero__class_Ozero(
% 0.95/1.58 tc_Polynomial_Opoly( X ) ) ) = Y }.
% 0.95/1.58 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.58 , c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), W ), U ), T ),
% 0.95/1.58 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.95/1.58 ( X ), Z ), U ), Y ) ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.95/1.58 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.95/1.58 ( X ), c_Groups_Ominus__class_Ominus( X, Z, W ) ), U ), Y ) ) }.
% 0.95/1.58 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.58 , T, c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), c_Groups_Ominus__class_Ominus( X, Z,
% 0.95/1.58 W ) ), U ), Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.58 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.95/1.58 ( X ), W ), U ), T ), c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), Z ), U ), Y ) ) }.
% 0.95/1.58 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.58 , c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), W ), U ), T ),
% 0.95/1.58 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.95/1.58 ( X ), Z ), U ), Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.58 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.95/1.58 ( X ), c_Groups_Ominus__class_Ominus( X, W, Z ) ), U ), T ), Y ) }.
% 0.95/1.58 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.58 , c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), c_Groups_Ominus__class_Ominus( X, W,
% 0.95/1.58 Z ) ), U ), T ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.58 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.95/1.58 ( X ), W ), U ), T ), c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), Z ), U ), Y ) ) }.
% 0.95/1.58 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.58 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.95/1.58 ( X ), W ), U ), T ), c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), Z ), U ), Y ) ),
% 0.95/1.58 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, hAPP
% 0.95/1.58 ( hAPP( c_Groups_Otimes__class_Otimes( X ), c_Groups_Ominus__class_Ominus
% 0.95/1.58 ( X, Z, W ) ), U ), Y ) ) }.
% 0.95/1.58 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X, T
% 0.95/1.58 , c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), c_Groups_Ominus__class_Ominus( X, Z,
% 0.95/1.58 W ) ), U ), Y ) ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.58 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.95/1.58 ( X ), W ), U ), T ), c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), Z ), U ), Y ) ) }.
% 0.95/1.58 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.58 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.95/1.58 ( X ), W ), U ), T ), c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), Z ), U ), Y ) ),
% 0.95/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, hAPP(
% 0.95/1.58 hAPP( c_Groups_Otimes__class_Otimes( X ), c_Groups_Ominus__class_Ominus(
% 0.95/1.58 X, W, Z ) ), U ), T ), Y ) }.
% 0.95/1.58 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.58 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.95/1.58 ( X ), c_Groups_Ominus__class_Ominus( X, W, Z ) ), U ), T ), Y ),
% 0.95/1.58 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, hAPP(
% 0.95/1.58 hAPP( c_Groups_Otimes__class_Otimes( X ), W ), U ), T ),
% 0.95/1.58 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.95/1.58 ( X ), Z ), U ), Y ) ) }.
% 0.95/1.58 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.95/1.58 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.95/1.58 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Oone__class_Oone
% 0.95/1.58 ( X ) ), c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), Z ), Y ), Y ) }.
% 0.95/1.58 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.95/1.58 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.95/1.58 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Oone__class_Oone
% 0.95/1.58 ( X ) ), c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), Y ), Z ), Y ) }.
% 0.95/1.58 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.95/1.58 c_Groups_Ominus__class_Ominus( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), U ), T ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) =
% 0.95/1.58 c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X, hAPP(
% 0.95/1.58 hAPP( c_Groups_Otimes__class_Otimes( X ), c_Groups_Ominus__class_Ominus(
% 0.95/1.58 X, U, Z ) ), c_Groups_Ominus__class_Ominus( X, T, Y ) ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), c_Groups_Ominus__class_Ominus( X, U,
% 0.95/1.58 Z ) ), Y ) ), hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ),
% 0.95/1.58 c_Groups_Ominus__class_Ominus( X, T, Y ) ) ) }.
% 0.95/1.58 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.58 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.95/1.58 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.95/1.58 ( X, Y ) ), c_RealVector_Onorm__class_Onorm( X,
% 0.95/1.58 c_Groups_Oplus__class_Oplus( X, Z, Y ) ) ) }.
% 0.95/1.58 { ! class_Rings_Olinordered__idom( X ), Z = Y,
% 0.95/1.58 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.95/1.58 X, Y, Z ) }.
% 0.95/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Y ), Y = X }.
% 0.95/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Z ),
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, Z ) }.
% 0.95/1.58 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Y ) }.
% 0.95/1.58 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, X ) }.
% 0.95/1.58 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Y ), X ) =
% 0.95/1.58 hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), X ), Y )
% 0.95/1.58 }.
% 0.95/1.58 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), hAPP( hAPP
% 0.95/1.58 ( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Z ), Y ) ), X ) =
% 0.95/1.58 hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Z ), hAPP
% 0.95/1.58 ( hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Y ), X ) ) }.
% 0.95/1.58 { ! class_Rings_Omult__zero( X ), hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.95/1.58 ( X ), c_Groups_Ozero__class_Ozero( X ) ), Y ) =
% 0.95/1.58 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.58 { ! class_Rings_Omult__zero( X ), hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.95/1.58 ( X ), Y ), c_Groups_Ozero__class_Ozero( X ) ) =
% 0.95/1.58 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.58 { ! class_Rings_Oring__no__zero__divisors( X ), ! hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) =
% 0.95/1.58 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.58 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.58 { ! class_Rings_Oring__no__zero__divisors( X ), ! Z =
% 0.95/1.58 c_Groups_Ozero__class_Ozero( X ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) =
% 0.95/1.58 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.58 { ! class_Rings_Oring__no__zero__divisors( X ), ! Y =
% 0.95/1.58 c_Groups_Ozero__class_Ozero( X ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) =
% 0.95/1.58 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.58 { ! class_Rings_Ono__zero__divisors( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.95/1.58 X ), Z = c_Groups_Ozero__class_Ozero( X ), ! hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) =
% 0.95/1.58 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.58 { ! class_Rings_Ono__zero__divisors( X ), ! hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) =
% 0.95/1.58 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.58 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.58 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ),
% 0.95/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.95/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.58 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ),
% 0.95/1.58 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.95/1.58 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.95/1.58 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), ! Y = X }.
% 0.95/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), Y = X,
% 0.95/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ) }.
% 0.95/1.58 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.95/1.58 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), Y = X }.
% 0.95/1.58 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.95/1.58 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.95/1.58 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Z ), X ) = hAPP( hAPP
% 0.95/1.58 ( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Y ), X ), Z = Y }.
% 0.95/1.58 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! Z = Y, hAPP( hAPP
% 0.95/1.58 ( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Z ), X ) = hAPP(
% 0.95/1.58 hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Y ), X ) }.
% 0.95/1.58 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), X ), Z ) = hAPP( hAPP
% 0.95/1.58 ( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), X ), Y ), Z = Y }.
% 0.95/1.58 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! Z = Y, hAPP( hAPP
% 0.95/1.58 ( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), X ), Z ) = hAPP(
% 0.95/1.58 hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), X ), Y ) }.
% 0.95/1.58 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.95/1.58 ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.58 , hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), Y ),
% 0.95/1.58 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.58 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.58 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.95/1.58 X ), Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), Z ), Y ), c_Groups_Ozero__class_Ozero
% 0.95/1.58 ( X ) ) }.
% 0.95/1.58 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.58 , c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.58 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.95/1.58 ), hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) }.
% 0.95/1.58 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.58 , Z, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.58 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.95/1.58 ), hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) }.
% 0.95/1.58 { ! class_Rings_Oordered__semiring( X ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.58 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.95/1.58 X ), U ), c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), Z ), U ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), Y ), T ) ) }.
% 0.95/1.58 { ! class_Rings_Oordered__semiring( X ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.95/1.58 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.95/1.58 X ), U ), c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), Z ), U ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), Y ), T ) ) }.
% 0.95/1.58 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.58 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.58 , hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), T ), Y ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), T ), Z ) ) }.
% 0.95/1.58 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.58 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.58 , hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Y ), T ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), Z ), T ) ) }.
% 0.95/1.58 { ! class_Rings_Oordered__comm__semiring( X ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.95/1.58 ), c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ) }.
% 0.95/1.58 { ! class_Rings_Oordered__semiring( X ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.95/1.58 ), c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ) }.
% 0.95/1.58 { ! class_Rings_Oordered__semiring( X ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.95/1.58 ), c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), Z ), T ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), Y ), T ) ) }.
% 0.95/1.58 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.58 , Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.58 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.95/1.58 ), hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ) }.
% 0.95/1.58 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.58 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.95/1.58 X ), Z ), c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), Y ), Z ), c_Groups_Ozero__class_Ozero
% 0.95/1.58 ( X ) ) }.
% 0.95/1.58 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.58 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.58 , hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), Y ),
% 0.95/1.58 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.58 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.58 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.58 , hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Y ), Z ),
% 0.95/1.58 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.58 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.58 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.95/1.58 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( X ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ) }.
% 0.95/1.58 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), Z ), Y ), c_Groups_Ozero__class_Ozero
% 0.95/1.58 ( X ) ), alpha2( X, Y, Z ), alpha28( X, Y, Z ) }.
% 0.95/1.58 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha2( X, Y, Z ),
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), Z ), Y ), c_Groups_Ozero__class_Ozero
% 0.95/1.58 ( X ) ) }.
% 0.95/1.58 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha28( X, Y, Z ),
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), Z ), Y ), c_Groups_Ozero__class_Ozero
% 0.95/1.58 ( X ) ) }.
% 0.95/1.58 { ! alpha28( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.58 { ! alpha28( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.95/1.58 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.95/1.58 ) ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.95/1.58 ( X ), Y ), alpha28( X, Y, Z ) }.
% 0.95/1.58 { ! alpha2( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.95/1.58 { ! alpha2( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.58 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.58 , Z ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( X ) ), alpha2( X, Y, Z ) }.
% 0.95/1.58 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.58 hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ), alpha3( X, Y
% 0.95/1.58 , Z ), alpha29( X, Y, Z ) }.
% 0.95/1.58 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha3( X, Y, Z ),
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.58 hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) }.
% 0.95/1.58 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha29( X, Y, Z ),
% 0.95/1.58 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.58 hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) }.
% 0.95/1.58 { ! alpha29( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.58 { ! alpha29( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.58 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.95/1.58 ) ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( X ) ), alpha29( X, Y, Z ) }.
% 0.95/1.58 { ! alpha3( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.95/1.58 { ! alpha3( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.95/1.58 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.58 , Z ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.58 c_Groups_Ozero__class_Ozero( X ), Y ), alpha3( X, Y, Z ) }.
% 0.95/1.58 { ! class_Rings_Olinordered__ring( X ), c_Orderings_Oord__class_Oless__eq(
% 0.95/1.58 X, c_Groups_Ozero__class_Ozero( X ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), Y ), Y ) ) }.
% 0.95/1.58 { ! class_Rings_Olinordered__ring( X ), ! c_Orderings_Oord__class_Oless( X
% 0.95/1.58 , hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Y ), Y ),
% 0.95/1.58 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.58 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.95/1.58 c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ), alpha4( X, Y, Z, T ),
% 0.95/1.58 alpha30( X, Y, Z, T ) }.
% 0.95/1.58 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha4( X, Y, Z, T ),
% 0.95/1.58 c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.95/1.58 c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ) }.
% 0.95/1.59 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha30( X, Y, Z, T ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ) }.
% 0.95/1.59 { ! alpha30( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Z,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.59 { ! alpha30( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Y, T ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.95/1.59 , ! c_Orderings_Oord__class_Oless( X, Y, T ), alpha30( X, Y, Z, T ) }.
% 0.95/1.59 { ! alpha4( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.95/1.59 { ! alpha4( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.95/1.59 , ! c_Orderings_Oord__class_Oless( X, T, Y ), alpha4( X, Y, Z, T ) }.
% 0.95/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ), alpha5( X, Y, Z, T ),
% 0.95/1.59 alpha31( X, Y, Z, T ) }.
% 0.95/1.59 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha5( X, Y, Z, T ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ) }.
% 0.95/1.59 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha31( X, Y, Z, T ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ) }.
% 0.95/1.59 { ! alpha31( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.59 { ! alpha31( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Ozero__class_Ozero( X ) )
% 0.95/1.59 , ! c_Orderings_Oord__class_Oless( X, Y, Z ), alpha31( X, Y, Z, T ) }.
% 0.95/1.59 { ! alpha5( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), T ) }.
% 0.95/1.59 { ! alpha5( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T )
% 0.95/1.59 , ! c_Orderings_Oord__class_Oless( X, Z, Y ), alpha5( X, Y, Z, T ) }.
% 0.95/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.95/1.59 ! c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), T ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, T, Z ) }.
% 0.95/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.95/1.59 ! c_Orderings_Oord__class_Oless( X, T, Z ), c_Orderings_Oord__class_Oless
% 0.95/1.59 ( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Y ), T ), hAPP( hAPP
% 0.95/1.59 ( c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ) }.
% 0.95/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.95/1.59 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.95/1.59 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.59 hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ) }.
% 0.95/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.95/1.59 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.95/1.59 , c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), Z ), c_Groups_Ozero__class_Ozero
% 0.95/1.59 ( X ) ) }.
% 0.95/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.95/1.59 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.95/1.59 , c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Z ), Y ), c_Groups_Ozero__class_Ozero
% 0.95/1.59 ( X ) ) }.
% 0.95/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), hAPP
% 0.95/1.59 ( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ) }
% 0.95/1.59 .
% 0.95/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), hAPP
% 0.95/1.59 ( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ) }
% 0.95/1.59 .
% 0.95/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.95/1.59 ! c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), T ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.95/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.95/1.59 ! c_Orderings_Oord__class_Oless( X, Z, T ), c_Orderings_Oord__class_Oless
% 0.95/1.59 ( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Y ), T ), hAPP( hAPP
% 0.95/1.59 ( c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ) }.
% 0.95/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.95/1.59 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.95/1.59 , c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), Z ), c_Groups_Ozero__class_Ozero
% 0.95/1.59 ( X ) ) }.
% 0.95/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.95/1.59 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.95/1.59 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.59 hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ) }.
% 0.95/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.95/1.59 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.95/1.59 ( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), T ), hAPP( hAPP
% 0.95/1.59 ( c_Groups_Otimes__class_Otimes( X ), Y ), T ) ) }.
% 0.95/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.95/1.59 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.95/1.59 ( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP
% 0.95/1.59 ( c_Groups_Otimes__class_Otimes( X ), T ), Y ) ) }.
% 0.95/1.59 { ! class_Rings_Olinordered__comm__semiring__strict( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.95/1.59 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.95/1.59 ( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP
% 0.95/1.59 ( c_Groups_Otimes__class_Otimes( X ), T ), Y ) ) }.
% 0.95/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.95/1.59 ( X, T, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.95/1.59 ( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Y ), T ), hAPP( hAPP
% 0.95/1.59 ( c_Groups_Otimes__class_Otimes( X ), Z ), T ) ) }.
% 0.95/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.95/1.59 ( X, T, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.95/1.59 ( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), T ), Y ), hAPP( hAPP
% 0.95/1.59 ( c_Groups_Otimes__class_Otimes( X ), T ), Z ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Z ), X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Y ), X ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Z ), X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Y ), X ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), X ), Y ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), X ), Z ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), X ), Y ) ) }.
% 0.95/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.95/1.59 ! c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), T ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.95/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.95/1.59 ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), T ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ) }.
% 0.95/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.95/1.59 ! c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), T ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.95/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.95/1.59 ! c_Orderings_Oord__class_Oless__eq( X, Z, T ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), T ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ) }.
% 0.95/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.95/1.59 ( X, U, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.95/1.59 ), c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Z ), U ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), T ) ) }.
% 0.95/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.95/1.59 ( X, U, T ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.95/1.59 ), c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Z ), U ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), T ) ) }.
% 0.95/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.95/1.59 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.59 , U ), c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Z ), U ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), T ) ) }.
% 0.95/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, U, T ), ! c_Orderings_Oord__class_Oless
% 0.95/1.59 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.95/1.59 ), c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Z ), U ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), T ) ) }.
% 0.95/1.59 { ! class_Rings_Olinordered__semiring( X ), ! c_Orderings_Oord__class_Oless
% 0.95/1.59 ( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP
% 0.95/1.59 ( c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.95/1.59 ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.95/1.59 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.95/1.59 ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.95/1.59 { ! class_Rings_Olinordered__semiring( X ), ! c_Orderings_Oord__class_Oless
% 0.95/1.59 ( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP
% 0.95/1.59 ( c_Groups_Otimes__class_Otimes( X ), T ), Y ) ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.95/1.59 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.95/1.59 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol3 ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ),
% 0.95/1.59 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.95/1.59 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_cs____ ), X ) ), skol3 ) }.
% 0.95/1.59 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol4 ) }.
% 0.95/1.59 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, skol4,
% 0.95/1.59 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.95/1.59 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, skol4,
% 0.95/1.59 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, v_e, v_m____ ) ) }.
% 0.95/1.59 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol5 ) }.
% 0.95/1.59 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, skol5,
% 0.95/1.59 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.95/1.59 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, skol5,
% 0.95/1.59 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, v_e, v_m____ ) ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.95/1.59 ( X, Z, Y ) ), alpha32( X, Y, Z, T ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.95/1.59 ( X, Z, Y ) ), alpha52( X, Y, Z, T ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha32( X, Y, Z
% 0.95/1.59 , T ), ! alpha52( X, Y, Z, T ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.95/1.59 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.95/1.59 { ! alpha52( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), Y ), alpha62( X, Y, Z, T ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.95/1.59 , alpha52( X, Y, Z, T ) }.
% 0.95/1.59 { ! alpha62( X, Y, Z, T ), alpha52( X, Y, Z, T ) }.
% 0.95/1.59 { ! alpha62( X, Y, Z, T ), alpha69( X, Y, Z, T ) }.
% 0.95/1.59 { ! alpha62( X, Y, Z, T ), alpha6( X, Y, T ) }.
% 0.95/1.59 { ! alpha69( X, Y, Z, T ), ! alpha6( X, Y, T ), alpha62( X, Y, Z, T ) }.
% 0.95/1.59 { ! alpha69( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.59 , Z, hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), T ), Y ) ) }.
% 0.95/1.59 { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.95/1.59 alpha69( X, Y, Z, T ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, Z, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ), alpha69( X, Y, Z, T ) }.
% 0.95/1.59 { ! alpha32( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless__eq
% 0.95/1.59 ( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), T ), Y ), Z ) }.
% 0.95/1.59 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.95/1.59 alpha32( X, Y, Z, T ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), Y ), Z ), alpha32( X, Y, Z, T )
% 0.95/1.59 }.
% 0.95/1.59 { ! alpha6( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.59 , Z, c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.95/1.59 , alpha6( X, Y, Z ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.95/1.59 ) ), alpha6( X, Y, Z ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.95/1.59 , T, Z ), Y ), alpha33( X, Y, Z, T ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.95/1.59 , T, Z ), Y ), alpha53( X, Y, Z, T ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha33( X, Y, Z
% 0.95/1.59 , T ), ! alpha53( X, Y, Z, T ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.59 c_Rings_Oinverse__class_Odivide( X, T, Z ), Y ) }.
% 0.95/1.59 { ! alpha53( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), Z ), alpha63( X, Y, Z, T ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.95/1.59 , alpha53( X, Y, Z, T ) }.
% 0.95/1.59 { ! alpha63( X, Y, Z, T ), alpha53( X, Y, Z, T ) }.
% 0.95/1.59 { ! alpha63( X, Y, Z, T ), alpha70( X, Y, Z, T ) }.
% 0.95/1.59 { ! alpha63( X, Y, Z, T ), alpha7( X, Y, Z ) }.
% 0.95/1.59 { ! alpha70( X, Y, Z, T ), ! alpha7( X, Y, Z ), alpha63( X, Y, Z, T ) }.
% 0.95/1.59 { ! alpha70( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.59 , hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Y ), Z ), T ) }.
% 0.95/1.59 { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 0.95/1.59 alpha70( X, Y, Z, T ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), Z ), T ), alpha70( X, Y, Z, T )
% 0.95/1.59 }.
% 0.95/1.59 { ! alpha33( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless__eq
% 0.95/1.59 ( X, T, hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ) }.
% 0.95/1.59 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.95/1.59 alpha33( X, Y, Z, T ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, T, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ), alpha33( X, Y, Z, T ) }.
% 0.95/1.59 { ! alpha7( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.59 , c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.95/1.59 , alpha7( X, Y, Z ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.59 , Y ), alpha7( X, Y, Z ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.59 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.95/1.59 ( X, Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), Y ), Z ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.59 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), Y ), Z ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.95/1.59 ( X, Z, Y ) ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.59 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.95/1.59 , T, Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, T, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.59 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, T, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.95/1.59 , T, Y ), Z ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.59 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, T, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.95/1.59 , T, Y ), Z ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.59 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), Y ), Z ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.95/1.59 ( X, Z, Y ) ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.59 X, Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.95/1.59 ( X, Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X, Z, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.59 X, Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.95/1.59 ( X, Z, Y ) ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.59 X, Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.95/1.59 , T, Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Z ), Y ), T ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.59 X, Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Z ), Y ), T ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.95/1.59 , T, Y ), Z ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), X =
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol6( X, Y ) ) }.
% 0.95/1.59 { ! X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, Y ),
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, X ) ) }.
% 0.95/1.59 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ),
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, Y ) ), X ) =
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Z ), X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Y ), X ) ) }.
% 0.95/1.59 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus(
% 0.95/1.59 tc_Polynomial_Opoly( X ), Y, c_Groups_Ozero__class_Ozero(
% 0.95/1.59 tc_Polynomial_Opoly( X ) ) ) = Y }.
% 0.95/1.59 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus(
% 0.95/1.59 tc_Polynomial_Opoly( X ), c_Groups_Ozero__class_Ozero(
% 0.95/1.59 tc_Polynomial_Opoly( X ) ), Y ) = Y }.
% 0.95/1.59 { ! class_Groups_Ocomm__monoid__add( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.59 tc_Nat_Onat, c_Polynomial_Odegree( X, Z ), c_Polynomial_Odegree( X, Y ) )
% 0.95/1.59 , c_Polynomial_Odegree( X, c_Groups_Oplus__class_Oplus(
% 0.95/1.59 tc_Polynomial_Opoly( X ), Y, Z ) ) = c_Polynomial_Odegree( X, Y ) }.
% 0.95/1.59 { ! class_Groups_Ocomm__monoid__add( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.59 tc_Nat_Onat, c_Polynomial_Odegree( X, Z ), c_Polynomial_Odegree( X, Y ) )
% 0.95/1.59 , c_Polynomial_Odegree( X, c_Groups_Oplus__class_Oplus(
% 0.95/1.59 tc_Polynomial_Opoly( X ), Z, Y ) ) = c_Polynomial_Odegree( X, Y ) }.
% 0.95/1.59 { ! class_Groups_Ocomm__monoid__add( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Polynomial_Odegree( X,
% 0.95/1.59 Z ), Y ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.59 c_Polynomial_Odegree( X, T ), Y ), c_Orderings_Oord__class_Oless__eq(
% 0.95/1.59 tc_Nat_Onat, c_Polynomial_Odegree( X, c_Groups_Oplus__class_Oplus(
% 0.95/1.59 tc_Polynomial_Opoly( X ), Z, T ) ), Y ) }.
% 0.95/1.59 { ! class_Groups_Ocomm__monoid__add( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.59 tc_Nat_Onat, c_Polynomial_Odegree( X, Z ), Y ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Polynomial_Odegree( X, T )
% 0.95/1.59 , Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Polynomial_Odegree(
% 0.95/1.59 X, c_Groups_Oplus__class_Oplus( tc_Polynomial_Opoly( X ), Z, T ) ), Y ) }
% 0.95/1.59 .
% 0.95/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Polynomial_Odegree( X,
% 0.95/1.59 c_Groups_Oone__class_Oone( tc_Polynomial_Opoly( X ) ) ) =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.59 { ! class_Rings_Ocomm__semiring__0( X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Polynomial_Opoly( X ) ),
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Polynomial_Opoly( X ), T, Z ) ), Y ) =
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Polynomial_Opoly( X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Polynomial_Opoly( X ) ), T ), Y ), hAPP
% 0.95/1.59 ( hAPP( c_Groups_Otimes__class_Otimes( tc_Polynomial_Opoly( X ) ), Z ), Y
% 0.95/1.59 ) ) }.
% 0.95/1.59 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Y ), Y ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), X ), X ) ) =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.95/1.59 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Y ), Y ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), X ), X ) ) =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.95/1.59 { ! Y = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! X =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Y ), Y ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), X ), X ) ) =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.95/1.59 { ! class_Rings_Ocomm__semiring__0( X ), c_Orderings_Oord__class_Oless__eq
% 0.95/1.59 ( tc_Nat_Onat, c_Polynomial_Odegree( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Polynomial_Opoly( X ) ), Z ), Y ) ),
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Polynomial_Odegree( X, Z ),
% 0.95/1.59 c_Polynomial_Odegree( X, Y ) ) ) }.
% 0.95/1.59 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X, Z,
% 0.95/1.59 Y ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.95/1.59 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.95/1.59 ( X, Y ) ) ) }.
% 0.95/1.59 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ),
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.95/1.59 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, Y, X ) ),
% 0.95/1.59 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ) ) }.
% 0.95/1.59 { ! class_Rings_Oidom( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.95/1.59 tc_Polynomial_Opoly( X ) ), Z = c_Groups_Ozero__class_Ozero(
% 0.95/1.59 tc_Polynomial_Opoly( X ) ), c_Polynomial_Odegree( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Polynomial_Opoly( X ) ), Y ), Z ) ) =
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Polynomial_Odegree( X, Y ),
% 0.95/1.59 c_Polynomial_Odegree( X, Z ) ) }.
% 0.95/1.59 { ! class_Fields_Ofield__inverse__zero( X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), c_Rings_Oinverse__class_Odivide( X, U
% 0.95/1.59 , T ) ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.95/1.59 c_Rings_Oinverse__class_Odivide( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), U ), Z ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.59 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ), alpha8( X, Y, Z ), alpha34
% 0.95/1.59 ( X, Y, Z ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha8( X, Y, Z
% 0.95/1.59 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.95/1.59 ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha34( X, Y, Z
% 0.95/1.59 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.95/1.59 ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.95/1.59 { ! alpha34( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.59 { ! alpha34( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.95/1.59 ) ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ) ), alpha34( X, Y, Z ) }.
% 0.95/1.59 { ! alpha8( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.95/1.59 { ! alpha8( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.59 , Z ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), Y ), alpha8( X, Y, Z ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.95/1.59 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha9( X, Y, Z ), alpha35
% 0.95/1.59 ( X, Y, Z ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha9( X, Y, Z
% 0.95/1.59 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.95/1.59 ( X, Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha35( X, Y, Z
% 0.95/1.59 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.95/1.59 ( X, Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.59 { ! alpha35( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.59 { ! alpha35( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.95/1.59 ) ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.95/1.59 ( X ), Y ), alpha35( X, Y, Z ) }.
% 0.95/1.59 { ! alpha9( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.95/1.59 { ! alpha9( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.59 , Z ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ) ), alpha9( X, Y, Z ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.95/1.59 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.95/1.59 ( X, Z, T ), c_Rings_Oinverse__class_Odivide( X, Y, T ) ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.59 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.95/1.59 ( X, Y, T ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.59 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ), alpha10( X, Y, Z ), alpha36
% 0.95/1.59 ( X, Y, Z ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha10( X, Y, Z
% 0.95/1.59 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.59 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha36( X, Y, Z
% 0.95/1.59 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.59 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.95/1.59 { ! alpha36( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.59 { ! alpha36( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.95/1.59 , ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.59 ), alpha36( X, Y, Z ) }.
% 0.95/1.59 { ! alpha10( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.95/1.59 { ! alpha10( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.95/1.59 , ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.59 ), alpha10( X, Y, Z ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Z,
% 0.95/1.59 Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha11( X, Y, Z ), alpha37( X,
% 0.95/1.59 Y, Z ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha11( X, Y, Z
% 0.95/1.59 ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X
% 0.95/1.59 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha37( X, Y, Z
% 0.95/1.59 ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X
% 0.95/1.59 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.59 { ! alpha37( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.59 { ! alpha37( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.95/1.59 , ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.59 ), alpha37( X, Y, Z ) }.
% 0.95/1.59 { ! alpha11( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.95/1.59 { ! alpha11( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.95/1.59 , ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.59 ), alpha11( X, Y, Z ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.59 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.95/1.59 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless
% 0.95/1.59 ( X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X
% 0.95/1.59 , Y, Z ) ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.59 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.95/1.59 ( X, Z, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.95/1.59 ( X, c_Rings_Oinverse__class_Odivide( X, Y, Z ),
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.59 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.95/1.59 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless
% 0.95/1.59 ( X, c_Rings_Oinverse__class_Odivide( X, Y, Z ),
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.59 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.95/1.59 ( X, Z, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.95/1.59 ( X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X
% 0.95/1.59 , Y, Z ) ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.59 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.59 c_Rings_Oinverse__class_Odivide( X, Z, T ),
% 0.95/1.59 c_Rings_Oinverse__class_Odivide( X, Y, T ) ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.59 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.59 c_Rings_Oinverse__class_Odivide( X, Y, T ),
% 0.95/1.59 c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.95/1.59 { ! class_Fields_Ofield__inverse__zero( X ), ! T =
% 0.95/1.59 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha38( X, Y, Z, T ) }.
% 0.95/1.59 { ! class_Fields_Ofield__inverse__zero( X ), ! T =
% 0.95/1.59 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha12( X, Y, T ) }.
% 0.95/1.59 { ! class_Fields_Ofield__inverse__zero( X ), ! alpha38( X, Y, Z, T ), !
% 0.95/1.59 alpha12( X, Y, T ), T = c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.95/1.59 { ! alpha38( X, Y, Z, T ), Y = c_Groups_Ozero__class_Ozero( X ), hAPP( hAPP
% 0.95/1.59 ( c_Groups_Otimes__class_Otimes( X ), T ), Y ) = Z }.
% 0.95/1.59 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha38( X, Y, Z, T ) }.
% 0.95/1.59 { ! hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), T ), Y ) = Z, alpha38(
% 0.95/1.59 X, Y, Z, T ) }.
% 0.95/1.59 { ! alpha12( X, Y, Z ), ! Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.59 { Y = c_Groups_Ozero__class_Ozero( X ), alpha12( X, Y, Z ) }.
% 0.95/1.59 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha12( X, Y, Z ) }.
% 0.95/1.59 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.95/1.59 c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y, alpha39( X, Y, Z, T ) }.
% 0.95/1.59 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.95/1.59 c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y, alpha13( X, Y, Z ) }.
% 0.95/1.59 { ! class_Fields_Ofield__inverse__zero( X ), ! alpha39( X, Y, Z, T ), !
% 0.95/1.59 alpha13( X, Y, Z ), c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y }.
% 0.95/1.59 { ! alpha39( X, Y, Z, T ), Z = c_Groups_Ozero__class_Ozero( X ), T = hAPP(
% 0.95/1.59 hAPP( c_Groups_Otimes__class_Otimes( X ), Y ), Z ) }.
% 0.95/1.59 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha39( X, Y, Z, T ) }.
% 0.95/1.59 { ! T = hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Y ), Z ), alpha39(
% 0.95/1.59 X, Y, Z, T ) }.
% 0.95/1.59 { ! alpha13( X, Y, Z ), ! Z = c_Groups_Ozero__class_Ozero( X ), Y =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.59 { Z = c_Groups_Ozero__class_Ozero( X ), alpha13( X, Y, Z ) }.
% 0.95/1.59 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha13( X, Y, Z ) }.
% 0.95/1.59 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.95/1.59 hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), T ), Y ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) =
% 0.95/1.59 c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.95/1.59 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.95/1.59 hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Y ), T ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ) =
% 0.95/1.59 c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.95/1.59 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), ! c_Rings_Oinverse__class_Odivide( X, U
% 0.95/1.59 , Y ) = c_Rings_Oinverse__class_Odivide( X, T, Z ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), U ), Z ) = hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), Y ) }.
% 0.95/1.59 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), ! hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), U ), Z ) = hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), Y ),
% 0.95/1.59 c_Rings_Oinverse__class_Odivide( X, U, Y ) =
% 0.95/1.59 c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.59 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.59 , Z ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.95/1.59 ( X ), c_Rings_Oinverse__class_Odivide( X, Y, Z ) ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.59 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.95/1.59 ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.59 c_Rings_Oinverse__class_Odivide( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 0.95/1.59 X ) ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.59 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, Y, Z ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.95/1.59 ! c_Orderings_Oord__class_Oless( X, T, U ), c_Orderings_Oord__class_Oless
% 0.95/1.59 ( X, c_Rings_Oinverse__class_Odivide( X, Y, U ),
% 0.95/1.59 c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.59 ), ! c_Orderings_Oord__class_Oless( X, Y, Z ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.95/1.59 ! c_Orderings_Oord__class_Oless__eq( X, T, U ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Y,
% 0.95/1.59 U ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.59 ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.95/1.59 ! c_Orderings_Oord__class_Oless__eq( X, T, U ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.95/1.59 , Y, U ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.59 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.59 , Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.59 c_Rings_Oinverse__class_Odivide( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 0.95/1.59 X ) ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.59 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.95/1.59 ) ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.95/1.59 X ), c_Rings_Oinverse__class_Odivide( X, Y, Z ) ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.59 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.95/1.59 Z ), c_Rings_Oinverse__class_Odivide( X, T, Y ) ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.59 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), T ), ! c_Orderings_Oord__class_Oless( X
% 0.95/1.59 , c_Groups_Ozero__class_Ozero( X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.95/1.59 Y ), c_Rings_Oinverse__class_Odivide( X, T, Z ) ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.59 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.95/1.59 ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Z ), Y ), T ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.59 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.95/1.59 ( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), Y ), T ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.95/1.59 Y ), Z ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.59 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.95/1.59 ( X, T, c_Rings_Oinverse__class_Odivide( X, Z, Y ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, Z, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.59 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.95/1.59 ( X, Z, hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), T ), Y ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.95/1.59 Z, Y ) ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.59 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.95/1.59 ( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), T ), Y ), Z ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.95/1.59 Z, Y ) ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.59 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.95/1.59 ( X, T, hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.95/1.59 Y ), Z ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.59 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.95/1.59 ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, T, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.59 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.95/1.59 ( X, T, hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.95/1.59 Y ), Z ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.59 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.95/1.59 ( X, T, c_Rings_Oinverse__class_Odivide( X, Z, Y ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), Y ), Z ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.59 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.95/1.59 ( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), T ), Y ), Z ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.95/1.59 Z, Y ) ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.95/1.59 Z ), Y ), alpha40( X, Y, Z, T ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.95/1.59 Z ), Y ), alpha54( X, Y, Z, T ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha40( X, Y, Z
% 0.95/1.59 , T ), ! alpha54( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.59 c_Rings_Oinverse__class_Odivide( X, T, Z ), Y ) }.
% 0.95/1.59 { ! alpha54( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), Z ), alpha64( X, Y, Z, T ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.95/1.59 , alpha54( X, Y, Z, T ) }.
% 0.95/1.59 { ! alpha64( X, Y, Z, T ), alpha54( X, Y, Z, T ) }.
% 0.95/1.59 { ! alpha64( X, Y, Z, T ), alpha71( X, Y, Z, T ) }.
% 0.95/1.59 { ! alpha64( X, Y, Z, T ), alpha14( X, Y, Z ) }.
% 0.95/1.59 { ! alpha71( X, Y, Z, T ), ! alpha14( X, Y, Z ), alpha64( X, Y, Z, T ) }.
% 0.95/1.59 { ! alpha71( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.59 hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Y ), Z ), T ) }.
% 0.95/1.59 { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 0.95/1.59 alpha71( X, Y, Z, T ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), Z ), T ), alpha71( X, Y, Z, T )
% 0.95/1.59 }.
% 0.95/1.59 { ! alpha40( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.59 T, hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ) }.
% 0.95/1.59 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.95/1.59 alpha40( X, Y, Z, T ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( X, T, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ), alpha40( X, Y, Z, T ) }.
% 0.95/1.59 { ! alpha14( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.95/1.59 , alpha14( X, Y, Z ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.95/1.59 , alpha14( X, Y, Z ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.95/1.59 Z, Y ) ), alpha41( X, Y, Z, T ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.95/1.59 Z, Y ) ), alpha55( X, Y, Z, T ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha41( X, Y, Z
% 0.95/1.59 , T ), ! alpha55( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T,
% 0.95/1.59 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.95/1.59 { ! alpha55( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), Y ), alpha65( X, Y, Z, T ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.95/1.59 , alpha55( X, Y, Z, T ) }.
% 0.95/1.59 { ! alpha65( X, Y, Z, T ), alpha55( X, Y, Z, T ) }.
% 0.95/1.59 { ! alpha65( X, Y, Z, T ), alpha72( X, Y, Z, T ) }.
% 0.95/1.59 { ! alpha65( X, Y, Z, T ), alpha15( X, Y, T ) }.
% 0.95/1.59 { ! alpha72( X, Y, Z, T ), ! alpha15( X, Y, T ), alpha65( X, Y, Z, T ) }.
% 0.95/1.59 { ! alpha72( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Z,
% 0.95/1.59 hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), T ), Y ) ) }.
% 0.95/1.59 { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.95/1.59 alpha72( X, Y, Z, T ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( X, Z, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ), alpha72( X, Y, Z, T ) }.
% 0.95/1.59 { ! alpha41( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.59 hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), T ), Y ), Z ) }.
% 0.95/1.59 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.95/1.59 alpha41( X, Y, Z, T ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), Y ), Z ), alpha41( X, Y, Z, T )
% 0.95/1.59 }.
% 0.95/1.59 { ! alpha15( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Z,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.95/1.59 , alpha15( X, Y, Z ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.95/1.59 , alpha15( X, Y, Z ) }.
% 0.95/1.59 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, T,
% 0.95/1.59 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.95/1.59 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.95/1.59 hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), T ), Y ) ), Y ) }.
% 0.95/1.59 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.59 c_Groups_Oplus__class_Oplus( X, T, c_Rings_Oinverse__class_Odivide( X, Z
% 0.95/1.59 , Y ) ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus
% 0.95/1.59 ( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Y ), T ), Z ), Y ) }
% 0.95/1.59 .
% 0.95/1.59 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.59 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) =
% 0.95/1.59 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.95/1.59 hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ), Y ) }.
% 0.95/1.59 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.59 c_Groups_Oplus__class_Oplus( X, c_Rings_Oinverse__class_Odivide( X, T, Y
% 0.95/1.59 ), Z ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus
% 0.95/1.59 ( X, T, hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ), Y ) }
% 0.95/1.59 .
% 0.95/1.59 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.59 c_Rings_Oinverse__class_Odivide( X, U, Y ),
% 0.95/1.59 c_Rings_Oinverse__class_Odivide( X, T, Z ) ) =
% 0.95/1.59 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, hAPP
% 0.95/1.59 ( hAPP( c_Groups_Otimes__class_Otimes( X ), U ), Z ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ) }.
% 0.95/1.59 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ominus__class_Ominus( X,
% 0.95/1.59 c_Rings_Oinverse__class_Odivide( X, U, Y ),
% 0.95/1.59 c_Rings_Oinverse__class_Odivide( X, T, Z ) ) =
% 0.95/1.59 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X,
% 0.95/1.59 hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), U ), Z ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ) }.
% 0.95/1.59 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.59 c_Groups_Ominus__class_Ominus( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.95/1.59 Y ), Z ) = c_Rings_Oinverse__class_Odivide( X,
% 0.95/1.59 c_Groups_Ominus__class_Ominus( X, T, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ), Y ) }.
% 0.95/1.59 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.59 c_Groups_Ominus__class_Ominus( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.95/1.59 Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X,
% 0.95/1.59 c_Groups_Ominus__class_Ominus( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), T ), Z ), Y ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.59 X, Z, Y ), c_Orderings_Oord__class_Oless( X, Z,
% 0.95/1.59 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.95/1.59 ), c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.95/1.59 c_Groups_Oone__class_Oone( X ) ) ) ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.59 X, Z, Y ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.59 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.95/1.59 ), c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.95/1.59 c_Groups_Oone__class_Oone( X ) ) ), Y ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.59 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.59 , hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.95/1.59 , T, Z ), c_Rings_Oinverse__class_Odivide( X, T, Y ) ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.95/1.59 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.59 , hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.95/1.59 , T, Y ), c_Rings_Oinverse__class_Odivide( X, T, Z ) ) }.
% 0.95/1.59 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.95/1.59 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.95/1.59 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, Y, X ) ),
% 0.95/1.59 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ) ),
% 0.95/1.59 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ) }.
% 0.95/1.59 { ! class_RealVector_Oreal__field( X ), c_Rings_Oinverse__class_Odivide( X
% 0.95/1.59 , c_Groups_Ominus__class_Ominus( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), W ), U ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), Z ) ), Y ) =
% 0.95/1.59 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.95/1.59 ( X ), W ), c_Rings_Oinverse__class_Odivide( X,
% 0.95/1.59 c_Groups_Ominus__class_Ominus( X, U, Z ), Y ) ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.95/1.59 c_Groups_Ominus__class_Ominus( X, W, T ), Y ) ), Z ) ) }.
% 0.95/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.59 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.95/1.59 ( X ), Z ), Z ), hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Y ), Y )
% 0.95/1.59 ) ), ! Z = c_Groups_Ozero__class_Ozero( X ), ! Y =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.59 { ! class_Rings_Olinordered__ring__strict( X ), Z =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, hAPP(
% 0.95/1.59 hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), Z ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), Y ) ) ) }.
% 0.95/1.59 { ! class_Rings_Olinordered__ring__strict( X ), Y =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, hAPP(
% 0.95/1.59 hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), Z ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), Y ) ) ) }.
% 0.95/1.59 { ! class_Rings_Olinordered__ring( X ), ! c_Orderings_Oord__class_Oless( X
% 0.95/1.59 , c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Z ), Z ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), Y ) ),
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.59 { ! class_Rings_Olinordered__ring( X ), c_Orderings_Oord__class_Oless__eq(
% 0.95/1.59 X, c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, hAPP
% 0.95/1.59 ( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), Z ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), Y ) ) ) }.
% 0.95/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.95/1.59 hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), Z ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), Y ) ),
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ) ), Z = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.59 }.
% 0.95/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.95/1.59 hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), Z ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), Y ) ),
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ) ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.59 }.
% 0.95/1.59 { ! class_Rings_Olinordered__ring__strict( X ), ! Z =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.59 , c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.95/1.59 hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), Z ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), Y ) ),
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.59 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ),
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) =
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), X ) ) }.
% 0.95/1.59 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.95/1.59 tc_Nat_Onat, Y, X ), X ) = Y }.
% 0.95/1.59 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.95/1.59 tc_Nat_Onat, Y, X ), Y ) = X }.
% 0.95/1.59 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.95/1.59 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.95/1.59 Z, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.95/1.59 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ),
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) ), X ) =
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), X ) ) }.
% 0.95/1.59 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.95/1.59 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) =
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) }.
% 0.95/1.59 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.95/1.59 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) =
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ) }.
% 0.95/1.59 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ), Z = X }.
% 0.95/1.59 { ! Z = X, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) }.
% 0.95/1.59 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ), Y = X }.
% 0.95/1.59 { ! Y = X, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) }.
% 0.95/1.59 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.95/1.59 tc_Nat_Onat, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.95/1.59 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, c_Groups_Oplus__class_Oplus
% 0.95/1.59 ( tc_Nat_Onat, Y, X ) ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.95/1.59 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) }.
% 0.95/1.59 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = Y, X =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.59 { ! c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), !
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y = X }.
% 0.95/1.59 { ! Y = hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), X )
% 0.95/1.59 , X = c_Groups_Oone__class_Oone( tc_Nat_Onat ), Y =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.59 { ! hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ) =
% 0.95/1.59 hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Y ), Z = X
% 0.95/1.59 , Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.59 { ! Z = X, hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y
% 0.95/1.59 ) = hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Y ) }
% 0.95/1.59 .
% 0.95/1.59 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ) = hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Y ) }.
% 0.95/1.59 { ! hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ) =
% 0.95/1.59 hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), X ), Y = X
% 0.95/1.59 , Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.59 { ! Y = X, hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y
% 0.95/1.59 ) = hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), X ) }
% 0.95/1.59 .
% 0.95/1.59 { ! Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ) = hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), X ) }.
% 0.95/1.59 { ! hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), X ) =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.59 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), X ) =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.59 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), X ) =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.59 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.59 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.59 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), ! X =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.95/1.59 tc_Nat_Onat, Y, X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.59 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.59 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), X ) =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.59 { Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), X ) =
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ),
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, c_Groups_Oone__class_Oone
% 0.95/1.59 ( tc_Nat_Onat ) ) ), X ) ) }.
% 0.95/1.59 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, X ) =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.59 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) = X }.
% 0.95/1.59 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, c_Groups_Ozero__class_Ozero
% 0.95/1.59 ( tc_Nat_Onat ) ) = X }.
% 0.95/1.59 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ),
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.59 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.95/1.59 tc_Nat_Onat ), X ) = X }.
% 0.95/1.59 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ),
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ) =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.59 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.95/1.59 tc_Nat_Onat ), X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, X ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.95/1.59 ( tc_Nat_Onat, Y, X ), Y ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.95/1.59 ( tc_Nat_Onat, Y, X ), X ) }.
% 0.95/1.59 { Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ), ! Y = X }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.95/1.59 ( tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) )
% 0.95/1.59 , c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.95/1.59 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }
% 0.95/1.59 .
% 0.95/1.59 { Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, X ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! X = Y }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.95/1.59 tc_Nat_Onat, Y, Z ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }
% 0.95/1.59 .
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.95/1.59 tc_Nat_Onat, Y, T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }
% 0.95/1.59 .
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, T, X ) =
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.95/1.59 ( tc_Nat_Onat, Y, Z ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y
% 0.95/1.59 , X ) }.
% 0.95/1.59 { alpha78( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z ),
% 0.95/1.59 hBOOL( hAPP( hAPP( X, Y ), Z ) ) }.
% 0.95/1.59 { alpha78( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP
% 0.95/1.59 ( X, Y ), Z ) ) }.
% 0.95/1.59 { ! alpha78( X, Y, Z ), alpha80( X, Y, Z ), Z = Y }.
% 0.95/1.59 { ! alpha78( X, Y, Z ), alpha80( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z
% 0.95/1.59 ) ) }.
% 0.95/1.59 { ! alpha80( X, Y, Z ), alpha78( X, Y, Z ) }.
% 0.95/1.59 { ! Z = Y, hBOOL( hAPP( hAPP( X, Y ), Z ) ), alpha78( X, Y, Z ) }.
% 0.95/1.59 { ! alpha80( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y )
% 0.95/1.59 }.
% 0.95/1.59 { ! alpha80( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ), hBOOL( hAPP( hAPP(
% 0.95/1.59 X, Y ), Z ) ), alpha80( X, Y, Z ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.95/1.59 ( tc_Nat_Onat, Z, X ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.95/1.59 ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.95/1.59 ( tc_Nat_Onat, Y, Z ), X ) }.
% 0.95/1.59 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) = Y }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z,
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.95/1.59 tc_Nat_Onat, Z, X ), Y ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.95/1.59 ( tc_Nat_Onat, Z, X ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z
% 0.95/1.59 , c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ), X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ),
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ),
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ),
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.95/1.59 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.95/1.59 ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X = Z }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), ! X = Z,
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), T ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Z ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, T ),
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Y ), Y = X }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.95/1.59 tc_Nat_Onat, X, Z ), Y ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), Z ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.95/1.59 tc_Nat_Onat, X, Y ), Z ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ), Y ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.95/1.59 tc_Nat_Onat, Z, X ), Y ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) = Z, X =
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), ! X =
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) = Z }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.95/1.59 tc_Nat_Onat, X, Y ), Y ) = X }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.95/1.59 tc_Nat_Onat, Z, X ), Y ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) = X }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) = Y }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, Z ),
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ),
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), X ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), Z ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Z ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.95/1.59 tc_Nat_Onat, X, Z ), Y ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.95/1.59 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z,
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.95/1.59 tc_Nat_Onat, Z, Y ), X ) }.
% 0.95/1.59 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Y ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), X =
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol7( X, Y ) ) }.
% 0.95/1.59 { ! X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.95/1.59 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ), Y ) }.
% 0.95/1.59 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), X ) ) ) }.
% 0.95/1.59 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.95/1.59 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) }.
% 0.95/1.59 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), X ) ) }.
% 0.95/1.59 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, X ) }.
% 0.95/1.59 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.95/1.59 , Y ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Ominus__class_Ominus(
% 0.95/1.59 X, U, Z ), c_Groups_Ominus__class_Ominus( X, T, Y ) ) }.
% 0.95/1.59 { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.95/1.59 tc_Nat_Onat ), X ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.95/1.59 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP(
% 0.95/1.59 hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ), hAPP( hAPP
% 0.95/1.59 ( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), X ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.95/1.59 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP(
% 0.95/1.59 hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), Z ), hAPP( hAPP
% 0.95/1.59 ( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Z ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! X =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.59 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.95/1.59 ( tc_Nat_Onat, Y, X ), Y ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Y ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.95/1.59 tc_Nat_Onat ), Y ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Y ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.59 ( tc_Nat_Onat ), Y ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X
% 0.95/1.59 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Y ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), X ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.95/1.59 tc_Nat_Onat ), Z ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), X ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.59 ( tc_Nat_Onat ), Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X
% 0.95/1.59 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), X ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.59 ( tc_Nat_Onat ), hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat )
% 0.95/1.59 , Y ), X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.59 ( tc_Nat_Onat ), hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat )
% 0.95/1.59 , Y ), X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.59 ( tc_Nat_Onat ), Y ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.95/1.59 tc_Nat_Onat ), hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ),
% 0.95/1.59 Y ), X ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.59 ( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.95/1.59 tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.59 ( tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.95/1.59 tc_Nat_Onat, Y, X ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.59 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.95/1.59 tc_Nat_Onat, Y, X ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.59 ( tc_Nat_Onat ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.95/1.59 tc_Nat_Onat ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) }.
% 0.95/1.59 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.95/1.59 , alpha16( X, Y, Z ) }.
% 0.95/1.59 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.95/1.59 , alpha42( X, Y, Z ) }.
% 0.95/1.59 { ! alpha16( X, Y, Z ), ! alpha42( X, Y, Z ), hBOOL( hAPP( Z,
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) ) }.
% 0.95/1.59 { ! alpha42( X, Y, Z ), ! Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.95/1.59 T ), hBOOL( hAPP( Z, T ) ) }.
% 0.95/1.59 { ! hBOOL( hAPP( Z, skol8( T, U, Z ) ) ), alpha42( X, Y, Z ) }.
% 0.95/1.59 { Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, skol8( X, Y, Z ) ),
% 0.95/1.59 alpha42( X, Y, Z ) }.
% 0.95/1.59 { ! alpha16( X, Y, Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X
% 0.95/1.59 ), hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) }.
% 0.95/1.59 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), alpha16( X, Y, Z ) }
% 0.95/1.59 .
% 0.95/1.59 { ! hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), alpha16
% 0.95/1.59 ( X, Y, Z ) }.
% 0.95/1.59 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.95/1.59 , ! alpha17( X, Y, Z ) }.
% 0.95/1.59 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.95/1.59 , ! alpha43( X, Y, Z ) }.
% 0.95/1.59 { alpha17( X, Y, Z ), alpha43( X, Y, Z ), hBOOL( hAPP( Z,
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) ) }.
% 0.95/1.59 { ! alpha43( X, Y, Z ), ! hBOOL( hAPP( Z, skol9( T, U, Z ) ) ) }.
% 0.95/1.59 { ! alpha43( X, Y, Z ), Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.95/1.59 skol9( X, Y, Z ) ) }.
% 0.95/1.59 { ! Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, T ), hBOOL( hAPP( Z, T
% 0.95/1.59 ) ), alpha43( X, Y, Z ) }.
% 0.95/1.59 { ! alpha17( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X )
% 0.95/1.59 }.
% 0.95/1.59 { ! alpha17( X, Y, Z ), ! hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero(
% 0.95/1.59 tc_Nat_Onat ) ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), hBOOL( hAPP( Z,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), alpha17( X, Y, Z ) }.
% 0.95/1.59 { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.95/1.59 tc_Nat_Onat ), X ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.59 ( tc_Nat_Onat ), X ), ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }
% 0.95/1.59 .
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.59 { ! c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.59 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.95/1.59 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.95/1.59 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.95/1.59 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.95/1.59 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.95/1.59 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.95/1.59 ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.95/1.59 ( tc_Nat_Onat, Y, Z ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z )
% 0.95/1.59 ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = X,
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), Y = X }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.95/1.59 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = X,
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.95/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.95/1.59 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.95/1.59 ( X ), Z ), Z ), hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Y ), Y )
% 0.95/1.59 ) = c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X
% 0.95/1.59 ) }.
% 0.95/1.59 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.95/1.59 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.95/1.59 ( X ), Z ), Z ), hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Y ), Y )
% 0.95/1.59 ) = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X
% 0.95/1.59 ) }.
% 0.95/1.59 { ! class_Rings_Olinordered__ring__strict( X ), ! Z =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.59 , c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Z ), Z ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), Y ) ) =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Y ) ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.95/1.59 tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X
% 0.95/1.59 ) }.
% 0.95/1.59 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.95/1.59 tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP
% 0.95/1.59 ( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ), hAPP(
% 0.95/1.59 hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Y ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Y ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), X ) ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.95/1.59 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X
% 0.95/1.59 ) }.
% 0.95/1.59 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.95/1.59 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP
% 0.95/1.59 ( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ), hAPP(
% 0.95/1.59 hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), X ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), X ) ) }.
% 0.95/1.59 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, Y ), hAPP( hAPP
% 0.95/1.59 ( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ),
% 0.95/1.59 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ), hAPP( Z, Y
% 0.95/1.59 ) ), c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y ) ) ), Y ) )
% 0.95/1.59 = c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ), hAPP(
% 0.95/1.59 hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ),
% 0.95/1.59 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ), hAPP( Z, Y
% 0.95/1.59 ) ), c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y ) ) ), X ) )
% 0.95/1.59 }.
% 0.95/1.59 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.59 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.95/1.59 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.95/1.59 , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.59 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.95/1.59 ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.95/1.59 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.95/1.59 , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.59 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.59 ), ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.95/1.59 ) ) }.
% 0.95/1.59 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.95/1.59 ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.95/1.59 ) ) }.
% 0.95/1.59 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.59 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.59 , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.59 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.95/1.59 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.95/1.59 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.59 , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.59 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.95/1.59 tc_Nat_Onat, hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X
% 0.95/1.59 ), U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), U ), Z ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.95/1.59 tc_Nat_Onat, hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ),
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ), U ), T ), Z ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.95/1.59 tc_Nat_Onat, hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ),
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ), U ), T ), Z ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.95/1.59 tc_Nat_Onat, hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X
% 0.95/1.59 ), U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), U ), Z ) ) }.
% 0.95/1.59 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ),
% 0.95/1.59 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ), X ) = X }.
% 0.95/1.59 { ! c_Groups_Oone__class_Oone( tc_Nat_Onat ) = hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), X ), Y =
% 0.95/1.59 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.95/1.59 { ! c_Groups_Oone__class_Oone( tc_Nat_Onat ) = hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), X ), X =
% 0.95/1.59 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.95/1.59 { ! Y = c_Groups_Oone__class_Oone( tc_Nat_Onat ), ! X =
% 0.95/1.59 c_Groups_Oone__class_Oone( tc_Nat_Onat ), c_Groups_Oone__class_Oone(
% 0.95/1.59 tc_Nat_Onat ) = hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat )
% 0.95/1.59 , Y ), X ) }.
% 0.95/1.59 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ),
% 0.95/1.59 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) = X }.
% 0.95/1.59 { ! hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), X ) =
% 0.95/1.59 c_Groups_Oone__class_Oone( tc_Nat_Onat ), Y = c_Groups_Oone__class_Oone(
% 0.95/1.59 tc_Nat_Onat ) }.
% 0.95/1.59 { ! hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), X ) =
% 0.95/1.59 c_Groups_Oone__class_Oone( tc_Nat_Onat ), X = c_Groups_Oone__class_Oone(
% 0.95/1.59 tc_Nat_Onat ) }.
% 0.95/1.59 { ! Y = c_Groups_Oone__class_Oone( tc_Nat_Onat ), ! X =
% 0.95/1.59 c_Groups_Oone__class_Oone( tc_Nat_Onat ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), X ) =
% 0.95/1.59 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.95/1.59 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), X ) = hAPP
% 0.95/1.59 ( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Y ) }.
% 0.95/1.59 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ) ), X ) = hAPP(
% 0.95/1.59 hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), X ) ) }.
% 0.95/1.59 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ),
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ), X ) =
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), X ) ) }.
% 0.95/1.59 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.95/1.59 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ), Y ) }.
% 0.95/1.59 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ),
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) =
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), X ) ) }.
% 0.95/1.59 { ! class_Groups_Ozero( X ), ! c_Groups_Ozero__class_Ozero( X ) = Y, Y =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.59 { ! class_Groups_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ) = Y }.
% 0.95/1.59 { ! class_Groups_Oab__semigroup__mult( X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), Z ) ), Y ) = hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) }.
% 0.95/1.59 { ! class_Groups_Oab__semigroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.95/1.59 ( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y ) ) }.
% 0.95/1.59 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.95/1.59 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.95/1.59 T, Y ), Z = Y }.
% 0.95/1.59 { ! class_Groups_Ocancel__semigroup__add( X ), ! Z = Y,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.95/1.59 T, Y ) }.
% 0.95/1.59 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.95/1.59 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.95/1.59 Y, Z ), T = Y }.
% 0.95/1.59 { ! class_Groups_Ocancel__semigroup__add( X ), ! T = Y,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.95/1.59 Y, Z ) }.
% 0.95/1.59 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.95/1.59 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.95/1.59 T, Y ), Z = Y }.
% 0.95/1.59 { ! class_Groups_Ocancel__ab__semigroup__add( X ), !
% 0.95/1.59 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.95/1.59 T, Y ), Z = Y }.
% 0.95/1.59 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.95/1.59 c_Groups_Oplus__class_Oplus( X, Z, T ) = c_Groups_Oplus__class_Oplus( X,
% 0.95/1.59 Y, T ), Z = Y }.
% 0.95/1.59 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.95/1.59 U, T ) = c_Groups_Ominus__class_Ominus( X, Z, Y ), ! U = T, Z = Y }.
% 0.95/1.59 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.95/1.59 U, T ) = c_Groups_Ominus__class_Ominus( X, Z, Y ), ! Z = Y, U = T }.
% 0.95/1.59 { ! class_Groups_Oone( X ), ! c_Groups_Oone__class_Oone( X ) = Y, Y =
% 0.95/1.59 c_Groups_Oone__class_Oone( X ) }.
% 0.95/1.59 { ! class_Groups_Oone( X ), ! Y = c_Groups_Oone__class_Oone( X ),
% 0.95/1.59 c_Groups_Oone__class_Oone( X ) = Y }.
% 0.95/1.59 { ! hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ) =
% 0.95/1.59 hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), X ), Z =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y = X }.
% 0.95/1.59 { ! Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ) = hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), X ) }.
% 0.95/1.59 { ! Y = X, hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y
% 0.95/1.59 ) = hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), X ) }
% 0.95/1.59 .
% 0.95/1.59 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), T ), Z ),
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), Z ), X ) ) =
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus
% 0.95/1.59 ( tc_Nat_Onat, T, Y ) ), Z ), X ) }.
% 0.95/1.59 { ! class_Groups_Omonoid__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.95/1.59 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.95/1.59 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ) = c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.95/1.59 , Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.59 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ozero__class_Ozero( X ) =
% 0.95/1.59 c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 0.95/1.59 { ! class_Groups_Omonoid__add( X ), c_Groups_Oplus__class_Oplus( X, Y,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.95/1.59 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.95/1.59 , c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.95/1.59 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.95/1.59 Z ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.95/1.59 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.95/1.59 Z ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.95/1.59 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.95/1.59 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.95/1.59 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.95/1.59 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.95/1.59 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.95/1.59 T ), c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.95/1.59 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.95/1.59 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.95/1.59 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.95/1.59 U ), c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.95/1.59 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.95/1.59 T ), c_Groups_Oplus__class_Oplus( X, Y, T ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.95/1.59 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.95/1.59 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.95/1.59 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.95/1.59 , c_Groups_Oplus__class_Oplus( X, T, Y ) ), c_Orderings_Oord__class_Oless
% 0.95/1.59 ( X, Z, Y ) }.
% 0.95/1.59 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Z, T )
% 0.95/1.59 , c_Groups_Oplus__class_Oplus( X, Y, T ) ), c_Orderings_Oord__class_Oless
% 0.95/1.59 ( X, Z, Y ) }.
% 0.95/1.59 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.95/1.59 ( X, U, T ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( X, Z, U ), c_Groups_Oplus__class_Oplus( X, Y
% 0.95/1.59 , T ) ) }.
% 0.95/1.59 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.95/1.59 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.95/1.59 , T, Y ) ) }.
% 0.95/1.59 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.95/1.59 X, c_Groups_Oplus__class_Oplus( X, Z, T ), c_Groups_Oplus__class_Oplus( X
% 0.95/1.59 , Y, T ) ) }.
% 0.95/1.59 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.95/1.59 , c_Groups_Oplus__class_Oplus( X, T, Y ) ), c_Orderings_Oord__class_Oless
% 0.95/1.59 ( X, Z, Y ) }.
% 0.95/1.59 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.95/1.59 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.95/1.59 , T, Y ) ) }.
% 0.95/1.59 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.95/1.59 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ), c_Orderings_Oord__class_Oless
% 0.95/1.59 ( X, T, Y ) }.
% 0.95/1.59 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, T, Y ), c_Orderings_Oord__class_Oless(
% 0.95/1.59 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.95/1.59 , Y, Z ) ) }.
% 0.95/1.59 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ominus__class_Ominus( X, Z, Y
% 0.95/1.59 ) = c_Groups_Ozero__class_Ozero( X ), Z = Y }.
% 0.95/1.59 { ! class_Groups_Ogroup__add( X ), ! Z = Y, c_Groups_Ominus__class_Ominus(
% 0.95/1.59 X, Z, Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.59 { ! class_Groups_Oab__group__add( X ), ! Z = Y,
% 0.95/1.59 c_Groups_Ominus__class_Ominus( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.95/1.59 ) }.
% 0.95/1.59 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.95/1.59 Z, Y ) = c_Groups_Ozero__class_Ozero( X ), Z = Y }.
% 0.95/1.59 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Y, Y )
% 0.95/1.59 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.59 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Y,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.95/1.59 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.95/1.59 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.95/1.59 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.95/1.59 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.95/1.59 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.95/1.59 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, U, T ) }.
% 0.95/1.59 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.95/1.59 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.95/1.59 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, U, T ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.95/1.59 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.95/1.59 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.95/1.59 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, Z, Y ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, U, T ) }.
% 0.95/1.59 { ! class_Groups_Ocomm__monoid__mult( X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), c_Groups_Oone__class_Oone( X ) )
% 0.95/1.59 = Y }.
% 0.95/1.59 { ! class_Groups_Omonoid__mult( X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), c_Groups_Oone__class_Oone( X ) )
% 0.95/1.59 = Y }.
% 0.95/1.59 { ! class_Groups_Ocomm__monoid__mult( X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), c_Groups_Oone__class_Oone( X ) ), Y )
% 0.95/1.59 = Y }.
% 0.95/1.59 { ! class_Groups_Omonoid__mult( X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), c_Groups_Oone__class_Oone( X ) ), Y )
% 0.95/1.59 = Y }.
% 0.95/1.59 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( X, Z, Y ), Y ) = Z }.
% 0.95/1.59 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.59 c_Groups_Ominus__class_Ominus( X, Z, Y ), Y ) = Z }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.59 ( tc_Nat_Onat ), X ), ! hAPP( hAPP( c_Groups_Otimes__class_Otimes(
% 0.95/1.59 tc_Nat_Onat ), X ), Z ) = hAPP( hAPP( c_Groups_Otimes__class_Otimes(
% 0.95/1.59 tc_Nat_Onat ), X ), Y ), Z = Y }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.59 ( tc_Nat_Onat ), X ), ! Z = Y, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.95/1.59 ( tc_Nat_Onat ), X ), Z ) = hAPP( hAPP( c_Groups_Otimes__class_Otimes(
% 0.95/1.59 tc_Nat_Onat ), X ), Y ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.59 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP
% 0.95/1.59 ( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Z ), hAPP(
% 0.95/1.59 hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Y ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.59 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y
% 0.95/1.59 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Z ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Y ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), U ), T ) =
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), U ), Z ), T =
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ),
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ), U ), Z ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), ! T =
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ),
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ), U ), Z ),
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), U ), T ) =
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), U ), Z ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.95/1.59 tc_Nat_Onat, hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y
% 0.95/1.59 ), U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), U ), Z ) ) =
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, T,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ),
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ), U ), Z ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), U ), T ),
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), U ), Z ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ),
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ), U ), Z ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ),
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ), U ), Z ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), U ), T ),
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), U ), Z ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), U ), T ) =
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), U ), Z ),
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ),
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ), U ), T ) = Z }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ),
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ), U ), T ) = Z,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), U ), T ) =
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), U ), Z ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.95/1.59 tc_Nat_Onat, hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X
% 0.95/1.59 ), U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), U ), Z ) ) =
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.95/1.59 tc_Nat_Onat, hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ),
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ), U ), T ), Z ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), U ), T ),
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), U ), Z ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ),
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ), U ), T ), Z ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ),
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ), U ), T ), Z ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), U ), T ),
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), U ), Z ) ) }.
% 0.95/1.59 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.59 c_Groups_Oplus__class_Oplus( X, Y, Y ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.59 ) }.
% 0.95/1.59 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.59 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.95/1.59 ), c_Groups_Oplus__class_Oplus( X, Y, Y ) ) }.
% 0.95/1.59 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Y,
% 0.95/1.59 Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.59 ) }.
% 0.95/1.59 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.59 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X
% 0.95/1.59 , Y, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.59 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.59 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.95/1.59 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Z )
% 0.95/1.59 ) }.
% 0.95/1.59 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.59 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.95/1.59 X ), Z ), ! c_Groups_Oplus__class_Oplus( X, Y, Z ) =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.95/1.59 .
% 0.95/1.59 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.59 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.95/1.59 X ), Z ), ! c_Groups_Oplus__class_Oplus( X, Y, Z ) =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.95/1.59 .
% 0.95/1.59 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.59 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.95/1.59 X ), Z ), ! Y = c_Groups_Ozero__class_Ozero( X ), ! Z =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Z )
% 0.95/1.59 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.59 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.59 ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oplus__class_Oplus( X,
% 0.95/1.59 Y, Z ) ) }.
% 0.95/1.59 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.59 ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oplus__class_Oplus( X,
% 0.95/1.59 Z, Y ) ) }.
% 0.95/1.59 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.59 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.59 , c_Groups_Oplus__class_Oplus( X, Y, Z ), c_Groups_Ozero__class_Ozero( X
% 0.95/1.59 ) ) }.
% 0.95/1.59 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.59 c_Groups_Oplus__class_Oplus( X, Y, Y ) ), c_Orderings_Oord__class_Oless(
% 0.95/1.59 X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.95/1.59 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.59 c_Groups_Oplus__class_Oplus( X, Y, Y ) ) }.
% 0.95/1.59 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.95/1.59 , c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Y
% 0.95/1.59 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.59 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.95/1.59 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.59 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.95/1.59 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.95/1.59 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.59 c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.95/1.59 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.95/1.59 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.95/1.59 , c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.95/1.59 ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.59 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Z, U )
% 0.95/1.59 , c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.95/1.59 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, U, T ), c_Orderings_Oord__class_Oless(
% 0.95/1.59 X, c_Groups_Oplus__class_Oplus( X, Z, U ), c_Groups_Oplus__class_Oplus( X
% 0.95/1.59 , Y, T ) ) }.
% 0.95/1.59 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X, Z
% 0.95/1.59 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.59 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X, Z
% 0.95/1.59 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.95/1.59 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.95/1.59 X, c_Groups_Ominus__class_Ominus( X, Z, Y ), c_Groups_Ozero__class_Ozero
% 0.95/1.59 ( X ) ) }.
% 0.95/1.59 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ominus__class_Ominus( X, Z, Y
% 0.95/1.59 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.95/1.59 , Z, Y ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.59 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.59 hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Z ), hAPP
% 0.95/1.59 ( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Y ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.59 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z
% 0.95/1.59 , Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Z ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Y ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.95/1.59 tc_Nat_Onat, hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y
% 0.95/1.59 ), U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), U ), Z ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ),
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ), U ), Z ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ),
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ), U ), Z ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.95/1.59 tc_Nat_Onat, hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y
% 0.95/1.59 ), U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), U ), Z ) ) }.
% 0.95/1.59 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), X ), X ) ), X =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.95/1.59 { ! X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), X ), X ) ) }.
% 0.95/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.59 hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), Y ), Y ) = hAPP(
% 0.95/1.59 hAPP( c_Groups_Otimes__class_Otimes( X ), c_Groups_Oplus__class_Oplus( X
% 0.95/1.59 , Z, c_Groups_Oone__class_Oone( X ) ) ), Y ) }.
% 0.95/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Z
% 0.95/1.59 , hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ) = hAPP( hAPP
% 0.95/1.59 ( c_Groups_Otimes__class_Otimes( X ), c_Groups_Oplus__class_Oplus( X, Y,
% 0.95/1.59 c_Groups_Oone__class_Oone( X ) ) ), Z ) }.
% 0.95/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.95/1.59 , Y ) = hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ),
% 0.95/1.59 c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.95/1.59 c_Groups_Oone__class_Oone( X ) ) ), Y ) }.
% 0.95/1.59 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.95/1.59 ( X ), Y = c_Groups_Ozero__class_Ozero( X ), ! W = U, T = Z, !
% 0.95/1.59 c_Groups_Oplus__class_Oplus( X, W, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), T ) ) =
% 0.95/1.59 c_Groups_Oplus__class_Oplus( X, U, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ) }.
% 0.95/1.59 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) = hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) }.
% 0.95/1.59 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) = hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Z ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ) }.
% 0.95/1.59 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) = hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), Z ) ), Y ) }.
% 0.95/1.59 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), Z ) ), Y ) = hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) }.
% 0.95/1.59 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), Z ) ), Y ) = hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ), Z ) }.
% 0.95/1.59 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), U ), T ) ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) = hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), U ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) ) }.
% 0.95/1.59 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), U ), T ) ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) = hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Z ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), U ), T ) ), Y ) ) }.
% 0.95/1.59 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), U ), T ) ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) = hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), U ), Z ) ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ) }.
% 0.95/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.95/1.59 , Y ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X
% 0.95/1.59 , U, Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.95/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.95/1.59 ( X, c_Groups_Oplus__class_Oplus( X, T, Y ), Z ) }.
% 0.95/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.95/1.59 ( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y ) ) }.
% 0.95/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, T
% 0.95/1.59 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.95/1.59 ( X, c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) }.
% 0.95/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, T
% 0.95/1.59 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.95/1.59 ( X, Z, c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.95/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Z
% 0.95/1.59 , Y ) = c_Groups_Oplus__class_Oplus( X, Y, Z ) }.
% 0.95/1.59 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), c_Groups_Ozero__class_Ozero( X ) ), Y
% 0.95/1.59 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.59 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), c_Groups_Ozero__class_Ozero( X )
% 0.95/1.59 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.59 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.95/1.59 ( X ), ! Z = c_Groups_Oplus__class_Oplus( X, Z, Y ), Y =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.59 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.95/1.59 ( X ), ! Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.95/1.59 c_Groups_Oplus__class_Oplus( X, Z, Y ) }.
% 0.95/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.95/1.59 , c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.95/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.95/1.59 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.59 Z, Y ) ) = c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ) }.
% 0.95/1.59 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.95/1.59 ( X ), U = T, Z = Y, ! c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), U ), Z ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ) =
% 0.95/1.59 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.95/1.59 ( X ), U ), Y ), hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), T ), Z )
% 0.95/1.59 ) }.
% 0.95/1.59 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.95/1.59 ( X ), c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), U ), Z ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ) =
% 0.95/1.59 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.95/1.59 ( X ), U ), Y ), hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), T ), Z )
% 0.95/1.59 ), ! U = T }.
% 0.95/1.59 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.95/1.59 ( X ), c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), U ), Z ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ) =
% 0.95/1.59 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.95/1.59 ( X ), U ), Y ), hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), T ), Z )
% 0.95/1.59 ), ! Z = Y }.
% 0.95/1.59 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), c_Groups_Oplus__class_Oplus( X, T, Z
% 0.95/1.59 ) ), Y ) = c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), Y ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) }.
% 0.95/1.59 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.59 hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ) = hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), c_Groups_Oplus__class_Oplus( X, T, Y
% 0.95/1.59 ) ), Z ) }.
% 0.95/1.59 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.95/1.59 ( X ), ! c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), U ), T ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) =
% 0.95/1.59 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.95/1.59 ( X ), U ), Y ), hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), T )
% 0.95/1.59 ), U = Z, T = Y }.
% 0.95/1.59 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.95/1.59 ( X ), ! U = Z, c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), U ), T ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) =
% 0.95/1.59 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.95/1.59 ( X ), U ), Y ), hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), T )
% 0.95/1.59 ) }.
% 0.95/1.59 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.95/1.59 ( X ), ! T = Y, c_Groups_Oplus__class_Oplus( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), U ), T ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) =
% 0.95/1.59 c_Groups_Oplus__class_Oplus( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.95/1.59 ( X ), U ), Y ), hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), T )
% 0.95/1.59 ) }.
% 0.95/1.59 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), c_Groups_Oone__class_Oone( X ) ), Y )
% 0.95/1.59 = Y }.
% 0.95/1.59 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), c_Groups_Oone__class_Oone( X ) )
% 0.95/1.59 = Y }.
% 0.95/1.59 { c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Y ), X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), Y ), Y ) ) =
% 0.95/1.59 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, Y ) }.
% 0.95/1.59 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.95/1.59 , c_Groups_Oplus__class_Oplus( X, Y, Y ), c_Groups_Ozero__class_Ozero( X
% 0.95/1.59 ) ), c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X
% 0.95/1.59 ) ) }.
% 0.95/1.59 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.95/1.59 , Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.95/1.59 , c_Groups_Oplus__class_Oplus( X, Y, Y ), c_Groups_Ozero__class_Ozero( X
% 0.95/1.59 ) ) }.
% 0.95/1.59 { ! class_Groups_Ozero( X ), !
% 0.95/1.59 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize( X, Y ) =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.59 { ! class_Groups_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero(
% 0.95/1.59 tc_Polynomial_Opoly( X ) ),
% 0.95/1.59 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize( X, Y ) =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.59 { ! class_Rings_Oidom( X ), ! hAPP( c_Polynomial_Opoly( X, Z ), Y ) =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero(
% 0.95/1.59 tc_Polynomial_Opoly( X ) ), ! c_Polynomial_Oorder( X, Y, Z ) =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.59 { ! class_Rings_Oidom( X ), ! Z = c_Groups_Ozero__class_Ozero(
% 0.95/1.59 tc_Polynomial_Opoly( X ) ), hAPP( c_Polynomial_Opoly( X, Z ), Y ) =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.59 { ! class_Rings_Oidom( X ), c_Polynomial_Oorder( X, Y, Z ) =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hAPP( c_Polynomial_Opoly( X,
% 0.95/1.59 Z ), Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.59 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol10 ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ),
% 0.95/1.59 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.95/1.59 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_cs____ ), X ) ), skol10 ) }.
% 0.95/1.59 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.95/1.59 c_Groups_Oplus__class_Oplus( X, Y, Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.59 , Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.59 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.95/1.59 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.59 { ! class_Rings_Oidom( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.95/1.59 tc_Polynomial_Opoly( X ) ), c_Orderings_Oord__class_Oless__eq(
% 0.95/1.59 tc_Nat_Onat, c_Polynomial_Oorder( X, Z, Y ), c_Polynomial_Odegree( X, Y )
% 0.95/1.59 ) }.
% 0.95/1.59 { c_Polynomial_Odegree( tc_Complex_Ocomplex, skol11 ) =
% 0.95/1.59 c_Polynomial_Odegree( tc_Complex_Ocomplex, v_p ) }.
% 0.95/1.59 { hAPP( c_Polynomial_Opoly( tc_Complex_Ocomplex, skol11 ), X ) = hAPP(
% 0.95/1.59 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ),
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, v_z, X ) ) }.
% 0.95/1.59 { ! class_Orderings_Opreorder( X ), c_Orderings_Oord__class_Oless__eq( X, Y
% 0.95/1.59 , Y ) }.
% 0.95/1.59 { ! class_RealVector_Oreal__normed__field( X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol12( Z, T ) ) }.
% 0.95/1.59 { ! class_RealVector_Oreal__normed__field( X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_RealVector_Onorm__class_Onorm( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.95/1.59 , Y ) ), hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ),
% 0.95/1.59 c_RealVector_Onorm__class_Onorm( X, Z ) ), skol12( X, Y ) ) ) }.
% 0.95/1.59 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol13( Z, T ) ) }.
% 0.95/1.59 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_RealVector_Onorm__class_Onorm( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ),
% 0.95/1.59 c_RealVector_Onorm__class_Onorm( X, Z ) ), skol13( X, Y ) ) ) }.
% 0.95/1.59 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.95/1.59 , Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.95/1.59 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.95/1.59 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.95/1.59 hAPP( Y, U ) ) }.
% 0.95/1.59 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.95/1.59 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.95/1.59 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.95/1.59 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Y = Z }.
% 0.95/1.59 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.59 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, T ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.95/1.59 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.95/1.59 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Z = Y }.
% 0.95/1.59 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.95/1.59 , Y ), ! Z = T, c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.95/1.59 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y
% 0.95/1.59 ), ! Y = T, c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.95/1.59 { ! class_Orderings_Oorder( X ), ! Z = Y, !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.95/1.59 { ! class_Orderings_Oord( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.95/1.59 ( X, Y, T ), c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.95/1.59 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.95/1.59 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Y = Z }.
% 0.95/1.59 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.95/1.59 , Y ), ! Y = Z, c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.95/1.59 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.95/1.59 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.95/1.59 hAPP( Y, U ) ) }.
% 0.95/1.59 { ! class_Orderings_Opreorder( X ), ! Z = Y,
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.95/1.59 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.95/1.59 ( X, Z, Y ) }.
% 0.95/1.59 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.95/1.59 ( X, Y, Z ) }.
% 0.95/1.59 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.95/1.59 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Z = Y }.
% 0.95/1.59 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.95/1.59 , Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.95/1.59 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.95/1.59 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.95/1.59 hAPP( Y, U ) ) }.
% 0.95/1.59 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, hAPP
% 0.95/1.59 ( Z, skol14( X, Y, Z ) ), hAPP( Y, skol14( X, Y, Z ) ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ) }.
% 0.95/1.59 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.95/1.59 Y ) }.
% 0.95/1.59 { ! class_Orderings_Olinorder( X ), Z = Y, c_Orderings_Oord__class_Oless( X
% 0.95/1.59 , Z, Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.95/1.59 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.95/1.59 Y ), ! Z = Y }.
% 0.95/1.59 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.95/1.59 Z ), ! Z = Y }.
% 0.95/1.59 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.95/1.59 ), c_Orderings_Oord__class_Oless( X, Y, Z ), Z = Y }.
% 0.95/1.59 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.95/1.59 Z ), ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.95/1.59 { ! class_Orderings_Olinorder( X ), ! Z = Y, !
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.95/1.59 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.95/1.59 ), Z = Y, c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.95/1.59 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.95/1.59 ), c_Orderings_Oord__class_Oless( X, Y, Z ), Y = Z }.
% 0.95/1.59 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.95/1.59 ), ! Y = Z, ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.95/1.59 { ! class_Orderings_Olinorder( X ), Z = Y, c_Orderings_Oord__class_Oless( X
% 0.95/1.59 , Z, Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.95/1.59 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.95/1.59 , ! Z = Y }.
% 0.95/1.59 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.95/1.59 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.95/1.59 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.95/1.59 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.95/1.59 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.95/1.59 , ! Z = Y }.
% 0.95/1.59 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.95/1.59 , ! Y = Z }.
% 0.95/1.59 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.95/1.59 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.95/1.59 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.95/1.59 , ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.95/1.59 { ! class_Orderings_Oord( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless( X
% 0.95/1.59 , Y, T ), c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.95/1.59 { ! class_Orderings_Oorder( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless(
% 0.95/1.59 X, T, Y ), c_Orderings_Oord__class_Oless( X, T, Z ) }.
% 0.95/1.59 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y ),
% 0.95/1.59 ! Y = T, c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.95/1.59 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.95/1.59 , ! Z = T, c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.95/1.59 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.95/1.59 Y ), ! c_Orderings_Oord__class_Oless( X, Y, T ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.95/1.59 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.95/1.59 , ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.95/1.59 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.95/1.59 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.95/1.59 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.95/1.59 ), Z = Y, c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.95/1.59 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.95/1.59 ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.95/1.59 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.59 , Y, Z ), ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.95/1.59 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.95/1.59 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.95/1.59 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.95/1.59 Z ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.95/1.59 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.95/1.59 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.95/1.59 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.95/1.59 , c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.95/1.59 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.95/1.59 , ! Z = Y }.
% 0.95/1.59 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.95/1.59 , Y ), Z = Y, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.95/1.59 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.95/1.59 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.95/1.59 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.95/1.59 Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.95/1.59 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.59 , Z, Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.95/1.59 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.95/1.59 , Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.95/1.59 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.95/1.59 , c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.95/1.59 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.95/1.59 ( X, Z, Y ) }.
% 0.95/1.59 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.95/1.59 ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.95/1.59 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.95/1.59 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.95/1.59 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.95/1.59 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ), Z = Y }.
% 0.95/1.59 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.95/1.59 ), ! Z = Y, c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.95/1.59 { ! class_Orderings_Oorder( X ), Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.95/1.59 ( X, Z, Y ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.95/1.59 { ! class_Orderings_Oorder( X ), Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.95/1.59 ( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.95/1.59 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.59 , Z, Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.95/1.59 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.95/1.59 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.95/1.59 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.59 , Z, Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.95/1.59 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.59 , Z, Y ), ! Z = Y, ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.95/1.59 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.95/1.59 , Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.95/1.59 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.95/1.59 , Y ), Z = Y, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.95/1.59 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.95/1.59 , Y ), Y = Z, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.95/1.59 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.95/1.59 Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, T ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.95/1.59 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.95/1.59 , ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.95/1.59 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.59 , Z, Y ), ! c_Orderings_Oord__class_Oless( X, Y, T ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.95/1.59 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.95/1.59 , Y ), ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.95/1.59 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol15( Y ) ) }.
% 0.95/1.59 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_RealVector_Onorm__class_Onorm( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ),
% 0.95/1.59 c_RealVector_Onorm__class_Onorm( X, Y ) ),
% 0.95/1.59 c_RealVector_Onorm__class_Onorm( X, Z ) ) ), skol15( X ) ) ) }.
% 0.95/1.59 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol16( Z, T ) ) }.
% 0.95/1.59 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_RealVector_Onorm__class_Onorm( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ),
% 0.95/1.59 c_RealVector_Onorm__class_Onorm( X, Z ) ), skol16( X, Y ) ) ) }.
% 0.95/1.59 { ! c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) =
% 0.95/1.59 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.59 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, X,
% 0.95/1.59 c_Groups_Oone__class_Oone( tc_Complex_Ocomplex ) ) ),
% 0.95/1.59 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.59 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X,
% 0.95/1.59 c_Groups_Oone__class_Oone( tc_Complex_Ocomplex ) ) ),
% 0.95/1.59 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.59 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, X, c_Complex_Oii ) ),
% 0.95/1.59 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.59 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, c_Complex_Oii ) )
% 0.95/1.59 , c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.95/1.59 { ! class_Rings_Ocomm__semiring__0( X ), c_Orderings_Oord__class_Oless__eq
% 0.95/1.59 ( tc_Nat_Onat, c_Polynomial_Odegree( X, c_Polynomial_Opcompose( X, Z, Y )
% 0.95/1.59 ), hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ),
% 0.95/1.59 c_Polynomial_Odegree( X, Z ) ), c_Polynomial_Odegree( X, Y ) ) ) }.
% 0.95/1.59 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( tc_fun( T,
% 0.95/1.59 X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ) }
% 0.95/1.59 .
% 0.95/1.59 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( tc_fun( T,
% 0.95/1.59 X ), Z, Y ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Y, Z )
% 0.95/1.59 }.
% 0.95/1.59 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.95/1.59 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Y, Z
% 0.95/1.59 ), c_Orderings_Oord__class_Oless( tc_fun( T, X ), Z, Y ) }.
% 0.95/1.59 { ! c_Complex_Oii = c_Groups_Ozero__class_Ozero( tc_Complex_Ocomplex ) }.
% 0.95/1.59 { ! c_Complex_Oii = c_Groups_Oone__class_Oone( tc_Complex_Ocomplex ) }.
% 0.95/1.59 { ! class_Rings_Ocomm__semiring__0( X ), c_Polynomial_Opcompose( X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), Y ) =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.59 { ! class_Rings_Ocomm__semiring__0( X ), hAPP( c_Polynomial_Opoly( X,
% 0.95/1.59 c_Polynomial_Opcompose( X, T, Z ) ), Y ) = hAPP( c_Polynomial_Opoly( X, T
% 0.95/1.59 ), hAPP( c_Polynomial_Opoly( X, Z ), Y ) ) }.
% 0.95/1.59 { ! class_Fields_Ofield( X ), ! c_Polynomial_Opdivmod__rel( X, U, T, Z, Y )
% 0.95/1.59 , U = c_Groups_Oplus__class_Oplus( tc_Polynomial_Opoly( X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Polynomial_Opoly( X ) ), Z ), T ), Y )
% 0.95/1.59 }.
% 0.95/1.59 { ! class_Fields_Ofield( X ), ! c_Polynomial_Opdivmod__rel( X, U, T, Z, Y )
% 0.95/1.59 , alpha56( X, Y, Z, T ) }.
% 0.95/1.59 { ! class_Fields_Ofield( X ), ! U = c_Groups_Oplus__class_Oplus(
% 0.95/1.59 tc_Polynomial_Opoly( X ), hAPP( hAPP( c_Groups_Otimes__class_Otimes(
% 0.95/1.59 tc_Polynomial_Opoly( X ) ), Z ), T ), Y ), ! alpha56( X, Y, Z, T ),
% 0.95/1.59 c_Polynomial_Opdivmod__rel( X, U, T, Z, Y ) }.
% 0.95/1.59 { ! alpha56( X, Y, Z, T ), alpha18( X, Z, T ) }.
% 0.95/1.59 { ! alpha56( X, Y, Z, T ), alpha44( X, Y, T ) }.
% 0.95/1.59 { ! alpha18( X, Z, T ), ! alpha44( X, Y, T ), alpha56( X, Y, Z, T ) }.
% 0.95/1.59 { ! alpha44( X, Y, Z ), Z = c_Groups_Ozero__class_Ozero(
% 0.95/1.59 tc_Polynomial_Opoly( X ) ), alpha57( X, Y, Z ) }.
% 0.95/1.59 { ! Z = c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), alpha44( X
% 0.95/1.59 , Y, Z ) }.
% 0.95/1.59 { ! alpha57( X, Y, Z ), alpha44( X, Y, Z ) }.
% 0.95/1.59 { ! alpha57( X, Y, Z ), Y = c_Groups_Ozero__class_Ozero(
% 0.95/1.59 tc_Polynomial_Opoly( X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.95/1.59 c_Polynomial_Odegree( X, Y ), c_Polynomial_Odegree( X, Z ) ) }.
% 0.95/1.59 { ! Y = c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), alpha57( X
% 0.95/1.59 , Y, Z ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Polynomial_Odegree( X, Y
% 0.95/1.59 ), c_Polynomial_Odegree( X, Z ) ), alpha57( X, Y, Z ) }.
% 0.95/1.59 { ! alpha18( X, Y, Z ), ! Z = c_Groups_Ozero__class_Ozero(
% 0.95/1.59 tc_Polynomial_Opoly( X ) ), Y = c_Groups_Ozero__class_Ozero(
% 0.95/1.59 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.59 { Z = c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), alpha18( X,
% 0.95/1.59 Y, Z ) }.
% 0.95/1.59 { ! Y = c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), alpha18( X
% 0.95/1.59 , Y, Z ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.95/1.59 { ! class_Fields_Ofield( X ), c_Polynomial_Opdivmod__rel( X, Y,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ),
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), Y ) }.
% 0.95/1.59 { ! class_Fields_Ofield( X ), c_Polynomial_Opdivmod__rel( X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), Y,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ),
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ) }.
% 0.95/1.59 { ! class_Fields_Ofield( X ), ! c_Polynomial_Opdivmod__rel( X, T,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), Z, Y ), Z =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.59 { ! class_Fields_Ofield( X ), ! c_Polynomial_Opdivmod__rel( X, T,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), Z, Y ), Y = T }
% 0.95/1.59 .
% 0.95/1.59 { ! class_Fields_Ofield( X ), ! Z = c_Groups_Ozero__class_Ozero(
% 0.95/1.59 tc_Polynomial_Opoly( X ) ), ! Y = T, c_Polynomial_Opdivmod__rel( X, T,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), Z, Y ) }.
% 0.95/1.59 { ! class_Fields_Ofield( X ), ! c_Polynomial_Opdivmod__rel( X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), T, Z, Y ), Z =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.59 { ! class_Fields_Ofield( X ), ! c_Polynomial_Opdivmod__rel( X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), T, Z, Y ), Y =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.59 { ! class_Fields_Ofield( X ), ! Z = c_Groups_Ozero__class_Ozero(
% 0.95/1.59 tc_Polynomial_Opoly( X ) ), ! Y = c_Groups_Ozero__class_Ozero(
% 0.95/1.59 tc_Polynomial_Opoly( X ) ), c_Polynomial_Opdivmod__rel( X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), T, Z, Y ) }.
% 0.95/1.59 { ! class_Fields_Ofield( X ), ! c_Polynomial_Opdivmod__rel( X, T, Z, Y, U )
% 0.95/1.59 , ! c_Polynomial_Opdivmod__rel( X, T, Z, W, V0 ), Y = W }.
% 0.95/1.59 { ! class_Fields_Ofield( X ), ! c_Polynomial_Opdivmod__rel( X, T, Z, U, Y )
% 0.95/1.59 , ! c_Polynomial_Opdivmod__rel( X, T, Z, V0, W ), Y = W }.
% 0.95/1.59 { ! class_Fields_Ofield( X ), ! c_Polynomial_Opdivmod__rel( X, U, T, Z, Y )
% 0.95/1.59 , ! c_Polynomial_Opdivmod__rel( X, U, T, V0, W ), Z = V0 }.
% 0.95/1.59 { ! class_Fields_Ofield( X ), ! c_Polynomial_Opdivmod__rel( X, U, T, Z, Y )
% 0.95/1.59 , ! c_Polynomial_Opdivmod__rel( X, U, T, V0, W ), Y = W }.
% 0.95/1.59 { ! class_Fields_Ofield( X ), ! c_Polynomial_Opdivmod__rel( X, U, T, Z, Y )
% 0.95/1.59 , ! c_Polynomial_Opdivmod__rel( X, Z, V1, V0, W ),
% 0.95/1.59 c_Polynomial_Opdivmod__rel( X, U, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Polynomial_Opoly( X ) ), T ), V1 ), V0
% 0.95/1.59 , c_Groups_Oplus__class_Oplus( tc_Polynomial_Opoly( X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Polynomial_Opoly( X ) ), T ), W ), Y )
% 0.95/1.59 ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.95/1.59 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol17( Z, T ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Z ), Y ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.95/1.59 c_Polynomial_Opoly( tc_Complex_Ocomplex, X ), Z ) ), skol17( X, Y ) ) }.
% 0.95/1.59 { hBOOL( hAPP( X, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), ! hBOOL(
% 0.95/1.59 hAPP( X, Y ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, skol18( Z, Y
% 0.95/1.59 ), Y ) }.
% 0.95/1.59 { hBOOL( hAPP( X, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), ! hBOOL(
% 0.95/1.59 hAPP( X, Y ) ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.95/1.59 skol18( X, Y ) ), ! hBOOL( hAPP( X, Z ) ) }.
% 0.95/1.59 { hBOOL( hAPP( X, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), ! hBOOL(
% 0.95/1.59 hAPP( X, Y ) ), hBOOL( hAPP( X, c_Groups_Oplus__class_Oplus( tc_Nat_Onat
% 0.95/1.59 , skol18( X, Y ), c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) ) }.
% 0.95/1.59 { ! class_RealVector_Oreal__normed__field( X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol19( Z, T ) ) }.
% 0.95/1.59 { ! class_RealVector_Oreal__normed__field( X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_RealVector_Onorm__class_Onorm( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.95/1.59 , Y ) ), hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ),
% 0.95/1.59 c_RealVector_Onorm__class_Onorm( X, Z ) ), skol19( X, Y ) ) ) }.
% 0.95/1.59 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol20( Z, T ) ) }.
% 0.95/1.59 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_RealVector_Onorm__class_Onorm( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ),
% 0.95/1.59 c_RealVector_Onorm__class_Onorm( X, Z ) ), skol20( X, Y ) ) ) }.
% 0.95/1.59 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol21( Z, T ) ) }.
% 0.95/1.59 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_RealVector_Onorm__class_Onorm( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ),
% 0.95/1.59 c_RealVector_Onorm__class_Onorm( X, Z ) ), skol21( X, Y ) ) ) }.
% 0.95/1.59 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol22( Y ) ) }.
% 0.95/1.59 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_RealVector_Onorm__class_Onorm( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ),
% 0.95/1.59 c_RealVector_Onorm__class_Onorm( X, Y ) ),
% 0.95/1.59 c_RealVector_Onorm__class_Onorm( X, Z ) ) ), skol22( X ) ) ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.59 skol23( X, T, U ) ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( X, skol23( X, T, U ),
% 0.95/1.59 c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.95/1.59 , Y ) }.
% 0.95/1.59 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), skol23( X, Y, Z ) ), Z ), Y ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.95/1.59 { ! class_Rings_Ocomm__semiring__0( X ), c_Polynomial_Odegree( X,
% 0.95/1.59 c_Polynomial_Osynthetic__div( X, Z, Y ) ) = c_Groups_Ominus__class_Ominus
% 0.95/1.59 ( tc_Nat_Onat, c_Polynomial_Odegree( X, Z ), c_Groups_Oone__class_Oone(
% 0.95/1.59 tc_Nat_Onat ) ) }.
% 0.95/1.59 { ! class_Rings_Ocomm__semiring__0( X ), ! c_Polynomial_Osynthetic__div( X
% 0.95/1.59 , Z, Y ) = c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ),
% 0.95/1.59 c_Polynomial_Odegree( X, Z ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.95/1.59 }.
% 0.95/1.59 { ! class_Rings_Ocomm__semiring__0( X ), ! c_Polynomial_Odegree( X, Z ) =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Polynomial_Osynthetic__div
% 0.95/1.59 ( X, Z, Y ) = c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.59 { ! class_Rings_Ocomm__semiring__0( X ), c_Polynomial_Osynthetic__div( X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), Y ) =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.59 { c_Complex_Oexpi( c_Groups_Ozero__class_Ozero( tc_Complex_Ocomplex ) ) =
% 0.95/1.59 c_Groups_Oone__class_Oone( tc_Complex_Ocomplex ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.95/1.59 c_RComplete_Onatceiling( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X
% 0.95/1.59 , c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) ) =
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_RComplete_Onatceiling( X ),
% 0.95/1.59 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) }.
% 0.95/1.59 { ! class_RealVector_Oreal__normed__vector( Y ), ! class_Orderings_Oord( X
% 0.95/1.59 ), c_Orderings_Oord__class_Oless__eq( X, T, skol24( X, U, W, T ) ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, T, V0 ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.59 c_RealVector_Onorm__class_Onorm( Y, hAPP( Z, V0 ) ),
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oone__class_Oone
% 0.95/1.59 ( tc_RealDef_Oreal ), c_RealVector_Onorm__class_Onorm( Y, hAPP( Z, T ) )
% 0.95/1.59 ) ) }.
% 0.95/1.59 { ! class_RealVector_Oreal__normed__vector( Y ), ! class_Orderings_Oord( X
% 0.95/1.59 ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.59 c_RealVector_Onorm__class_Onorm( Y, c_Groups_Ominus__class_Ominus( Y,
% 0.95/1.59 hAPP( Z, T ), hAPP( Z, skol24( X, Y, Z, T ) ) ) ),
% 0.95/1.59 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, T, U ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.59 c_RealVector_Onorm__class_Onorm( Y, hAPP( Z, U ) ),
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oone__class_Oone
% 0.95/1.59 ( tc_RealDef_Oreal ), c_RealVector_Onorm__class_Onorm( Y, hAPP( Z, T ) )
% 0.95/1.59 ) ) }.
% 0.95/1.59 { c_RComplete_Onatceiling( c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) )
% 0.95/1.59 = c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_RComplete_Onatceiling(
% 0.95/1.59 Y ), c_RComplete_Onatceiling( X ) ) }.
% 0.95/1.59 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_RComplete_Onatceiling( X )
% 0.95/1.59 ) }.
% 0.95/1.59 { c_RComplete_Onatceiling( c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal )
% 0.95/1.59 ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.95/1.59 c_RComplete_Onatceiling( X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.95/1.59 }.
% 0.95/1.59 { c_Complex_Oexpi( c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, Y, X )
% 0.95/1.59 ) = hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Complex_Ocomplex ),
% 0.95/1.59 c_Complex_Oexpi( Y ) ), c_Complex_Oexpi( X ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_RComplete_Onatceiling
% 0.95/1.59 ( X ), c_Groups_Oone__class_Oone( tc_Nat_Onat ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.95/1.59 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.95/1.59 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_RComplete_Onatceiling(
% 0.95/1.59 X ), c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.95/1.59 c_RComplete_Onatfloor( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X,
% 0.95/1.59 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) ) =
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_RComplete_Onatfloor( X ),
% 0.95/1.59 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.59 tc_Nat_Onat, Y ), X ), ! c_Orderings_Oord__class_Oless__eq(
% 0.95/1.59 tc_RealDef_Oreal, X, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.95/1.59 c_RealDef_Oreal( tc_Nat_Onat, Y ), c_Groups_Oone__class_Oone(
% 0.95/1.59 tc_RealDef_Oreal ) ) ), c_RComplete_Onatceiling( X ) =
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, c_Groups_Oone__class_Oone(
% 0.95/1.59 tc_Nat_Onat ) ) }.
% 0.95/1.59 { ! class_Orderings_Oorder( X ), ! c_SEQ_Odecseq( X, Y ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, T ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( X, hAPP( Y, T ), hAPP( Y, Z ) ) }.
% 0.95/1.59 { ! class_Orderings_Oorder( X ), c_Orderings_Oord__class_Oless__eq(
% 0.95/1.59 tc_Nat_Onat, skol25( X, Y ), skol47( X, Y ) ), c_SEQ_Odecseq( X, Y ) }.
% 0.95/1.59 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.59 hAPP( Y, skol47( X, Y ) ), hAPP( Y, skol25( X, Y ) ) ), c_SEQ_Odecseq( X
% 0.95/1.59 , Y ) }.
% 0.95/1.59 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.95/1.59 tc_Nat_Onat, X ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.59 tc_Nat_Onat, Y ), X ), c_RComplete_Onatfloor(
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, c_RealDef_Oreal(
% 0.95/1.59 tc_Nat_Onat, Y ) ) ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.95/1.59 c_RComplete_Onatfloor( X ), Y ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.59 tc_Nat_Onat, Y ), X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 0.95/1.59 , c_RComplete_Onatfloor( X ) ) }.
% 0.95/1.59 { c_RComplete_Onatceiling( c_RealDef_Oreal( tc_Nat_Onat, X ) ) = X }.
% 0.95/1.59 { c_RComplete_Onatfloor( c_RealDef_Oreal( tc_Nat_Onat, X ) ) = X }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_RComplete_Onatfloor
% 0.95/1.59 ( X ) ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_RealDef_Oreal( tc_Nat_Onat, Y ), X ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.59 tc_Nat_Onat, Y ), X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 0.95/1.59 , c_RComplete_Onatfloor( X ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.59 tc_Nat_Onat, c_RComplete_Onatfloor( X ) ), X ) }.
% 0.95/1.59 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X,
% 0.95/1.59 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), c_RealDef_Oreal(
% 0.95/1.59 tc_Nat_Onat, c_RComplete_Onatfloor( X ) ) ) }.
% 0.95/1.59 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.59 tc_Nat_Onat, c_RComplete_Onatfloor( X ) ), c_Groups_Oone__class_Oone(
% 0.95/1.59 tc_RealDef_Oreal ) ) ) }.
% 0.95/1.59 { ! c_RealDef_Oreal( tc_Nat_Onat, Y ) = c_RealDef_Oreal( tc_Nat_Onat, X ),
% 0.95/1.59 Y = X }.
% 0.95/1.59 { ! Y = X, c_RealDef_Oreal( tc_Nat_Onat, Y ) = c_RealDef_Oreal( tc_Nat_Onat
% 0.95/1.59 , X ) }.
% 0.95/1.59 { ! c_RealDef_Oreal( tc_Nat_Onat, X ) = c_Groups_Ozero__class_Ozero(
% 0.95/1.59 tc_RealDef_Oreal ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.59 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_RealDef_Oreal(
% 0.95/1.59 tc_Nat_Onat, X ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.95/1.59 { c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.95/1.59 ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.59 tc_Nat_Onat, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.59 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.59 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.59 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.59 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, c_RealDef_Oreal(
% 0.95/1.59 tc_Nat_Onat, Y ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.95/1.59 c_RComplete_Onatfloor( X ), Y ) }.
% 0.95/1.59 { c_RealDef_Oreal( tc_Nat_Onat, hAPP( hAPP( c_Groups_Otimes__class_Otimes(
% 0.95/1.59 tc_Nat_Onat ), Y ), X ) ) = hAPP( hAPP( c_Groups_Otimes__class_Otimes(
% 0.95/1.59 tc_RealDef_Oreal ), c_RealDef_Oreal( tc_Nat_Onat, Y ) ), c_RealDef_Oreal
% 0.95/1.59 ( tc_Nat_Onat, X ) ) }.
% 0.95/1.59 { c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y
% 0.95/1.59 , X ) ) = c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal
% 0.95/1.59 ( tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.95/1.59 c_RComplete_Onatfloor( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X,
% 0.95/1.59 c_RealDef_Oreal( tc_Nat_Onat, Y ) ) ) = c_Groups_Oplus__class_Oplus(
% 0.95/1.59 tc_Nat_Onat, c_RComplete_Onatfloor( X ), Y ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_RComplete_Onatfloor( Y ),
% 0.95/1.59 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ), X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, c_RealDef_Oreal(
% 0.95/1.59 tc_Nat_Onat, X ) ) }.
% 0.95/1.59 { c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Oone__class_Oone( tc_Nat_Onat ) )
% 0.95/1.59 = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.59 tc_Nat_Onat, Y ), X ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal
% 0.95/1.59 , X, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.59 tc_Nat_Onat, Y ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) ),
% 0.95/1.59 c_RComplete_Onatfloor( X ) = Y }.
% 0.95/1.59 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, c_RealDef_Oreal(
% 0.95/1.59 tc_Nat_Onat, c_RComplete_Onatceiling( X ) ) ) }.
% 0.95/1.59 { c_RComplete_Onatfloor( c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) )
% 0.95/1.59 = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.59 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_RComplete_Onatfloor( X ) )
% 0.95/1.59 }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_RComplete_Onatfloor( Y
% 0.95/1.59 ), c_RComplete_Onatfloor( X ) ) }.
% 0.95/1.59 { c_RComplete_Onatfloor( c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) =
% 0.95/1.59 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.59 tc_Nat_Onat, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), X =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.59 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.59 tc_Nat_Onat, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), c_RealDef_Oreal
% 0.95/1.59 ( tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.59 tc_Nat_Onat, X ), c_RealDef_Oreal( tc_Nat_Onat, Y ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, c_RealDef_Oreal
% 0.95/1.59 ( tc_Nat_Onat, X ) ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.59 c_RComplete_Onatceiling( Y ), X ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), c_RComplete_Onatfloor
% 0.95/1.59 ( X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.95/1.59 tc_Nat_Onat, X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.59 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.95/1.59 tc_Nat_Onat, X ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.59 tc_Nat_Onat, Y ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.95/1.59 c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.59 tc_Nat_Onat, Y ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.95/1.59 c_RealDef_Oreal( tc_Nat_Onat, X ) ), c_Orderings_Oord__class_Oless(
% 0.95/1.59 tc_Nat_Onat, Y, X ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.59 tc_Nat_Onat, Y ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.95/1.59 c_RealDef_Oreal( tc_Nat_Onat, X ), c_Groups_Oone__class_Oone(
% 0.95/1.59 tc_RealDef_Oreal ) ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.59 tc_Nat_Onat, Y ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.95/1.59 c_RealDef_Oreal( tc_Nat_Onat, X ), c_Groups_Oone__class_Oone(
% 0.95/1.59 tc_RealDef_Oreal ) ) ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 0.95/1.59 , X ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_RComplete_Onatceiling(
% 0.95/1.59 X ), Y ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.95/1.59 c_RealDef_Oreal( tc_Nat_Onat, Y ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, c_RealDef_Oreal(
% 0.95/1.59 tc_Nat_Onat, Y ) ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.59 c_RComplete_Onatceiling( X ), Y ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.59 tc_Nat_Onat, Y ), X ), c_RComplete_Onatceiling(
% 0.95/1.59 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, c_RealDef_Oreal(
% 0.95/1.59 tc_Nat_Onat, Y ) ) ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.95/1.59 c_RComplete_Onatceiling( X ), Y ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.59 c_Groups_Oone__class_Oone( tc_Nat_Onat ), c_RComplete_Onatfloor( X ) ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Groups_Oone__class_Oone
% 0.95/1.59 ( tc_Nat_Onat ), c_RComplete_Onatfloor( X ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.95/1.59 c_RComplete_Onatceiling( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X
% 0.95/1.59 , c_RealDef_Oreal( tc_Nat_Onat, Y ) ) ) = c_Groups_Oplus__class_Oplus(
% 0.95/1.59 tc_Nat_Onat, c_RComplete_Onatceiling( X ), Y ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), c_RComplete_Onatfloor( X )
% 0.95/1.59 ), c_RComplete_Onatfloor( Y ) ), c_RComplete_Onatfloor( hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), X ), Y ) ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.59 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, skol26( X ),
% 0.95/1.59 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ), X ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, c_RealDef_Oreal(
% 0.95/1.59 tc_Nat_Onat, skol26( X ) ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ), !
% 0.95/1.59 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.95/1.59 tc_Nat_Onat ), Y ), c_RComplete_Onatfloor(
% 0.95/1.59 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, c_RealDef_Oreal(
% 0.95/1.59 tc_Nat_Onat, Y ) ) ) = c_Divides_Odiv__class_Odiv( tc_Nat_Onat,
% 0.95/1.59 c_RComplete_Onatfloor( X ), Y ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.95/1.59 tc_Nat_Onat, Y ) ), X ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) )
% 0.95/1.59 , hAPP( hAPP( c_Power_Opower__class_Opower( tc_RealDef_Oreal ),
% 0.95/1.59 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X,
% 0.95/1.59 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) ), Y ) ) }.
% 0.95/1.59 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.95/1.59 c_Power_Opower__class_Opower( X ), hAPP( hAPP(
% 0.95/1.59 c_Power_Opower__class_Opower( X ), T ), Z ) ), Y ) = hAPP( hAPP(
% 0.95/1.59 c_Power_Opower__class_Opower( X ), T ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ) ) }.
% 0.95/1.59 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.95/1.59 c_Power_Opower__class_Opower( X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), T ), Z ) ), Y ) = hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), hAPP( hAPP(
% 0.95/1.59 c_Power_Opower__class_Opower( X ), T ), Y ) ), hAPP( hAPP(
% 0.95/1.59 c_Power_Opower__class_Opower( X ), Z ), Y ) ) }.
% 0.95/1.59 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.95/1.59 c_Power_Opower__class_Opower( X ), Y ), c_Groups_Oone__class_Oone(
% 0.95/1.59 tc_Nat_Onat ) ) = Y }.
% 0.95/1.59 { ! class_RealVector_Oreal__normed__algebra__1( X ),
% 0.95/1.59 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.59 c_RealVector_Onorm__class_Onorm( X, hAPP( hAPP(
% 0.95/1.59 c_Power_Opower__class_Opower( X ), Z ), Y ) ), hAPP( hAPP(
% 0.95/1.59 c_Power_Opower__class_Opower( tc_RealDef_Oreal ),
% 0.95/1.59 c_RealVector_Onorm__class_Onorm( X, Z ) ), Y ) ) }.
% 0.95/1.59 { ! class_RealVector_Oreal__normed__div__algebra( X ),
% 0.95/1.59 c_RealVector_Onorm__class_Onorm( X, hAPP( hAPP(
% 0.95/1.59 c_Power_Opower__class_Opower( X ), Z ), Y ) ) = hAPP( hAPP(
% 0.95/1.59 c_Power_Opower__class_Opower( tc_RealDef_Oreal ),
% 0.95/1.59 c_RealVector_Onorm__class_Onorm( X, Z ) ), Y ) }.
% 0.95/1.59 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( c_Polynomial_Opoly( X, hAPP
% 0.95/1.59 ( hAPP( c_Power_Opower__class_Opower( tc_Polynomial_Opoly( X ) ), T ), Z
% 0.95/1.59 ) ), Y ) = hAPP( hAPP( c_Power_Opower__class_Opower( X ), hAPP(
% 0.95/1.59 c_Polynomial_Opoly( X, T ), Y ) ), Z ) }.
% 0.95/1.59 { ! Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.95/1.59 c_Divides_Odiv__class_Odiv( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), X ) ) =
% 0.95/1.59 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.59 { Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.95/1.59 c_Divides_Odiv__class_Odiv( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), X ) ) =
% 0.95/1.59 c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, X ) }.
% 0.95/1.59 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.95/1.59 c_Power_Opower__class_Opower( X ), Y ), c_Groups_Ozero__class_Ozero(
% 0.95/1.59 tc_Nat_Onat ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.95/1.59 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( X ), hAPP( hAPP(
% 0.95/1.59 c_Power_Opower__class_Opower( X ), T ), Z ) ), hAPP( hAPP(
% 0.95/1.59 c_Power_Opower__class_Opower( X ), T ), Y ) ) = hAPP( hAPP(
% 0.95/1.59 c_Power_Opower__class_Opower( X ), T ), c_Groups_Oplus__class_Oplus(
% 0.95/1.59 tc_Nat_Onat, Z, Y ) ) }.
% 0.95/1.59 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.59 ( tc_Nat_Onat ), X ), c_Divides_Odiv__class_Odiv( tc_Nat_Onat, hAPP( hAPP
% 0.95/1.59 ( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Z ), hAPP( hAPP(
% 0.95/1.59 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Y ) ) =
% 0.95/1.59 c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Z, Y ) }.
% 0.95/1.59 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.59 tc_Nat_Onat, c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, X ) ),
% 0.95/1.59 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.59 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) ) }.
% 0.95/1.59 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.95/1.60 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.95/1.60 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.60 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ), c_RealDef_Oreal(
% 0.95/1.60 tc_Nat_Onat, c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, X ) ) ) ) }.
% 0.95/1.60 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.95/1.60 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.60 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ), c_RealDef_Oreal(
% 0.95/1.60 tc_Nat_Onat, c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, X ) ) ),
% 0.95/1.60 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.95/1.60 { ! class_Groups_Omonoid__mult( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.60 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ), hAPP( hAPP
% 0.95/1.60 ( c_Groups_Otimes__class_Otimes( X ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Z ), c_Groups_Ominus__class_Ominus(
% 0.95/1.60 tc_Nat_Onat, Y, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) ), Z ) =
% 0.95/1.60 hAPP( hAPP( c_Power_Opower__class_Opower( X ), Z ), Y ) }.
% 0.95/1.60 { ! class_Power_Opower( X ), ! Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat
% 0.95/1.60 ), hAPP( hAPP( c_Power_Opower__class_Opower( X ), Y ), Z ) =
% 0.95/1.60 c_Groups_Oone__class_Oone( X ) }.
% 0.95/1.60 { ! class_Power_Opower( X ), Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.95/1.60 , hAPP( hAPP( c_Power_Opower__class_Opower( X ), Y ), Z ) = hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( X ), Y ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Y ), c_Groups_Ominus__class_Ominus(
% 0.95/1.60 tc_Nat_Onat, Z, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.95/1.60 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( X ), Z ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.60 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), T ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Z ), T ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Y ), T ) ) }.
% 0.95/1.60 { ! hBOOL( hAPP( Z, c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, X ) ) ),
% 0.95/1.60 alpha19( X, Z ) }.
% 0.95/1.60 { ! hBOOL( hAPP( Z, c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, X ) ) ),
% 0.95/1.60 alpha45( X, Y, Z ) }.
% 0.95/1.60 { ! alpha19( X, Z ), ! alpha45( X, Y, Z ), hBOOL( hAPP( Z,
% 0.95/1.60 c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, X ) ) ) }.
% 0.95/1.60 { ! alpha45( X, Y, Z ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.95/1.60 alpha58( X, Y, Z ) }.
% 0.95/1.60 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha45( X, Y, Z ) }.
% 0.95/1.60 { ! alpha58( X, Y, Z ), alpha45( X, Y, Z ) }.
% 0.95/1.60 { ! alpha58( X, Y, Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, X
% 0.95/1.60 ), alpha66( X, Y, Z, T ) }.
% 0.95/1.60 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, skol27( X, T, U ), X ),
% 0.95/1.60 alpha58( X, Y, Z ) }.
% 0.95/1.60 { ! alpha66( X, Y, Z, skol27( X, Y, Z ) ), alpha58( X, Y, Z ) }.
% 0.95/1.60 { ! alpha66( X, Y, Z, T ), ! Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.95/1.60 hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), U ), T ),
% 0.95/1.60 hBOOL( hAPP( Z, U ) ) }.
% 0.95/1.60 { ! hBOOL( hAPP( Z, skol28( U, W, Z, V0 ) ) ), alpha66( X, Y, Z, T ) }.
% 0.95/1.60 { Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), skol28( X, Y, Z, T ) )
% 0.95/1.60 , T ), alpha66( X, Y, Z, T ) }.
% 0.95/1.60 { ! alpha19( X, Y ), ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.95/1.60 hBOOL( hAPP( Y, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) }.
% 0.95/1.60 { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha19( X, Y ) }.
% 0.95/1.60 { ! hBOOL( hAPP( Y, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), alpha19
% 0.95/1.60 ( X, Y ) }.
% 0.95/1.60 { hAPP( hAPP( c_Power_Opower__class_Opower( tc_Int_Oint ), Z ),
% 0.95/1.60 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) = hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( tc_Int_Oint ), Z ), Y ) ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( tc_Int_Oint ), Z ), X ) ) }.
% 0.95/1.60 { hAPP( hAPP( c_Power_Opower__class_Opower( tc_Int_Oint ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( tc_Int_Oint ), Z ), Y ) ), X ) = hAPP( hAPP
% 0.95/1.60 ( c_Power_Opower__class_Opower( tc_Int_Oint ), Z ), hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), X ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP
% 0.95/1.60 ( hAPP( c_Power_Opower__class_Opower( tc_Nat_Onat ), X ), Z ), hAPP( hAPP
% 0.95/1.60 ( c_Power_Opower__class_Opower( tc_Nat_Onat ), X ), Y ) ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Nat_Onat ), hAPP( hAPP( c_Power_Opower__class_Opower( tc_Nat_Onat )
% 0.95/1.60 , Y ), X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ), X =
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( tc_Nat_Onat ), Y ), X ) ) }.
% 0.95/1.60 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.95/1.60 tc_Nat_Onat ), hAPP( hAPP( c_Power_Opower__class_Opower( tc_Nat_Onat ), Y
% 0.95/1.60 ), X ) ) }.
% 0.95/1.60 { c_RealDef_Oreal( tc_Nat_Onat, hAPP( hAPP( c_Power_Opower__class_Opower(
% 0.95/1.60 tc_Nat_Onat ), Y ), X ) ) = hAPP( hAPP( c_Power_Opower__class_Opower(
% 0.95/1.60 tc_RealDef_Oreal ), c_RealDef_Oreal( tc_Nat_Onat, Y ) ), X ) }.
% 0.95/1.60 { hAPP( hAPP( c_Power_Opower__class_Opower( tc_RealDef_Oreal ),
% 0.95/1.60 c_RealDef_Oreal( tc_Nat_Onat, Y ) ), X ) = c_RealDef_Oreal( tc_Nat_Onat,
% 0.95/1.60 hAPP( hAPP( c_Power_Opower__class_Opower( tc_Nat_Onat ), Y ), X ) ) }.
% 0.95/1.60 { ! class_Rings_Ocomm__semiring__1( X ), c_Orderings_Oord__class_Oless__eq
% 0.95/1.60 ( tc_Nat_Onat, c_Polynomial_Odegree( X, hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( tc_Polynomial_Opoly( X ) ), Z ), Y ) ),
% 0.95/1.60 hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ),
% 0.95/1.60 c_Polynomial_Odegree( X, Z ) ), Y ) ) }.
% 0.95/1.60 { ! X = c_RealDef_Oreal( tc_Nat_Onat, c_RComplete_Onatfloor( X ) ),
% 0.95/1.60 c_RComplete_Onatfloor( hAPP( hAPP( c_Power_Opower__class_Opower(
% 0.95/1.60 tc_RealDef_Oreal ), X ), Y ) ) = hAPP( hAPP( c_Power_Opower__class_Opower
% 0.95/1.60 ( tc_Nat_Onat ), c_RComplete_Onatfloor( X ) ), Y ) }.
% 0.95/1.60 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( tc_Nat_Onat ), X ), Y ) =
% 0.95/1.60 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.95/1.60 { Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( tc_Nat_Onat ), X ), Y ) = hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( tc_Nat_Onat ), X ),
% 0.95/1.60 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, c_Groups_Oone__class_Oone
% 0.95/1.60 ( tc_Nat_Onat ) ) ) ) }.
% 0.95/1.60 { ! class_Rings_Oring__1__no__zero__divisors( X ), Y =
% 0.95/1.60 c_Groups_Ozero__class_Ozero( X ), ! hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Y ), Z ) = c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( X ) }.
% 0.95/1.60 { ! class_Groups_Omonoid__mult( X ), hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( X ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Z ), Y ) ), Z ) = hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( X ), Z ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Z ), Y ) ) }.
% 0.95/1.60 { ! class_Groups_Ocomm__monoid__mult( X ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( X ), T ), Z ) ), Y ) = hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( X ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), T ), Y ) ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Z ), Y ) ) }.
% 0.95/1.60 { ! class_Groups_Omonoid__mult( X ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), c_Groups_Oone__class_Oone( X ) ), Y )
% 0.95/1.60 = c_Groups_Oone__class_Oone( X ) }.
% 0.95/1.60 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Odiv( X,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.60 }.
% 0.95/1.60 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Odiv( X, Y,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.60 { ! class_Fields_Ofield__inverse__zero( X ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), c_Rings_Oinverse__class_Odivide( X, T
% 0.95/1.60 , Z ) ), Y ) = c_Rings_Oinverse__class_Odivide( X, hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), T ), Y ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Z ), Y ) ) }.
% 0.95/1.60 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Odiv( X, Y,
% 0.95/1.60 c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.95/1.60 { ! class_Groups_Omonoid__mult( X ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), T ), hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z ), Y ) ) = hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), T ), Z ) ), Y ) }.
% 0.95/1.60 { ! class_Groups_Omonoid__mult( X ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Y ), c_Groups_Oone__class_Oone(
% 0.95/1.60 tc_Nat_Onat ) ) = Y }.
% 0.95/1.60 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.60 c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, X ), Y ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.60 c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, Z ),
% 0.95/1.60 c_Divides_Odiv__class_Odiv( tc_Nat_Onat, X, Z ) ) }.
% 0.95/1.60 { c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Z, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), X ) ) =
% 0.95/1.60 c_Divides_Odiv__class_Odiv( tc_Nat_Onat, c_Divides_Odiv__class_Odiv(
% 0.95/1.60 tc_Nat_Onat, Z, Y ), X ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__semidom( X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.95/1.60 ), c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Z ), T ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Y ), T ) ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__semidom( X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.60 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.95/1.60 ), hAPP( hAPP( c_Power_Opower__class_Opower( X ), Y ), Z ) ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.95/1.60 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless
% 0.95/1.60 ( X, c_Groups_Ozero__class_Ozero( X ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Y ), Z ) ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__semidom( X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ), Y )
% 0.95/1.60 , c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.95/1.60 hAPP( hAPP( c_Power_Opower__class_Opower( X ), Y ), Z ) ) }.
% 0.95/1.60 { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), !
% 0.95/1.60 class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.95/1.60 , ! hAPP( hAPP( c_Power_Opower__class_Opower( X ), Z ), Y ) =
% 0.95/1.60 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.95/1.60 .
% 0.95/1.60 { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), !
% 0.95/1.60 class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.95/1.60 , ! hAPP( hAPP( c_Power_Opower__class_Opower( X ), Z ), Y ) =
% 0.95/1.60 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero(
% 0.95/1.60 tc_Nat_Onat ) }.
% 0.95/1.60 { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), !
% 0.95/1.60 class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.95/1.60 , ! Z = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Nat_Onat ), hAPP( hAPP( c_Power_Opower__class_Opower( X ), Z ), Y )
% 0.95/1.60 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.95/1.60 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Y ), T ) = hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Y ), Z ), T = Z }.
% 0.95/1.60 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.95/1.60 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! T = Z, hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Y ), T ) = hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Y ), Z ) }.
% 0.95/1.60 { ! class_Divides_Osemiring__div( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.60 , c_Divides_Odiv__class_Odiv( X, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( X ), Y ), T ), hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ) =
% 0.95/1.60 c_Divides_Odiv__class_Odiv( X, T, Z ) }.
% 0.95/1.60 { ! class_Divides_Osemiring__div( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.60 , c_Divides_Odiv__class_Odiv( X, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( X ), T ), Y ), hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ) =
% 0.95/1.60 c_Divides_Odiv__class_Odiv( X, T, Z ) }.
% 0.95/1.60 { ! class_Divides_Osemiring__div( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.60 , c_Divides_Odiv__class_Odiv( X, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( X ), Y ), Z ), Y ) = Z }.
% 0.95/1.60 { ! class_Divides_Osemiring__div( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.60 , c_Divides_Odiv__class_Odiv( X, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( X ), Z ), Y ), Y ) = Z }.
% 0.95/1.60 { ! class_Divides_Osemiring__div( X ), ! T = c_Groups_Ozero__class_Ozero( X
% 0.95/1.60 ), c_Divides_Odiv__class_Odiv( X, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ) =
% 0.95/1.60 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.60 { ! class_Divides_Osemiring__div( X ), T = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.60 , c_Divides_Odiv__class_Odiv( X, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( X ), T ), Z ), hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( X ), T ), Y ) ) =
% 0.95/1.60 c_Divides_Odiv__class_Odiv( X, Z, Y ) }.
% 0.95/1.60 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), hAPP(
% 0.95/1.60 hAPP( c_Power_Opower__class_Opower( X ), c_Rings_Oinverse__class_Odivide
% 0.95/1.60 ( X, T, Y ) ), Z ) = c_Rings_Oinverse__class_Odivide( X, hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), T ), Z ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Y ), Z ) ) }.
% 0.95/1.60 { ! class_Divides_Osemiring__div( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.60 , c_Divides_Odiv__class_Odiv( X, Y, Y ) = c_Groups_Oone__class_Oone( X )
% 0.95/1.60 }.
% 0.95/1.60 { ! class_Power_Opower( X ), hAPP( hAPP( c_Power_Opower__class_Opower( X )
% 0.95/1.60 , Y ), c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 0.95/1.60 c_Groups_Oone__class_Oone( X ) }.
% 0.95/1.60 { ! class_Groups_Omonoid__mult( X ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), T ), c_Groups_Oplus__class_Oplus(
% 0.95/1.60 tc_Nat_Onat, Z, Y ) ) = hAPP( hAPP( c_Groups_Otimes__class_Otimes( X ),
% 0.95/1.60 hAPP( hAPP( c_Power_Opower__class_Opower( X ), T ), Z ) ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), T ), Y ) ) }.
% 0.95/1.60 { ! class_Fields_Ofield__inverse__zero( X ),
% 0.95/1.60 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X ), hAPP
% 0.95/1.60 ( hAPP( c_Power_Opower__class_Opower( X ), Z ), Y ) ) = hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.95/1.60 c_Groups_Oone__class_Oone( X ), Z ) ), Y ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.60 c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, X ) =
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.95/1.60 ( X, hAPP( hAPP( c_Power_Opower__class_Opower( X ), Z ), T ), hAPP( hAPP
% 0.95/1.60 ( c_Power_Opower__class_Opower( X ), Y ), T ) ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.60 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.95/1.60 ( X, c_Groups_Oone__class_Oone( X ), Y ), c_Orderings_Oord__class_Oless(
% 0.95/1.60 X, hAPP( hAPP( c_Power_Opower__class_Opower( X ), Y ), Z ), hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( X ), Y ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Y ), Z ) ) ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.95/1.60 ( X, c_Groups_Oone__class_Oone( X ), Y ), c_Orderings_Oord__class_Oless(
% 0.95/1.60 X, c_Groups_Oone__class_Oone( X ), hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( X ), Y ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Y ), Z ) ) ) }.
% 0.95/1.60 { ! class_Power_Opower( X ), ! class_Rings_Osemiring__0( X ), ! Y =
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), c_Groups_Ozero__class_Ozero( X ) ), Y
% 0.95/1.60 ) = c_Groups_Oone__class_Oone( X ) }.
% 0.95/1.60 { ! class_Power_Opower( X ), ! class_Rings_Osemiring__0( X ), Y =
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), c_Groups_Ozero__class_Ozero( X ) ), Y
% 0.95/1.60 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.60 { ! class_Divides_Osemiring__div( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.60 , c_Divides_Odiv__class_Odiv( X, c_Groups_Oplus__class_Oplus( X, T, hAPP
% 0.95/1.60 ( hAPP( c_Groups_Otimes__class_Otimes( X ), Y ), Z ) ), Y ) =
% 0.95/1.60 c_Groups_Oplus__class_Oplus( X, Z, c_Divides_Odiv__class_Odiv( X, T, Y )
% 0.95/1.60 ) }.
% 0.95/1.60 { ! class_Divides_Osemiring__div( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.60 , c_Divides_Odiv__class_Odiv( X, c_Groups_Oplus__class_Oplus( X, T, hAPP
% 0.95/1.60 ( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ), Y ) =
% 0.95/1.60 c_Groups_Oplus__class_Oplus( X, Z, c_Divides_Odiv__class_Odiv( X, T, Y )
% 0.95/1.60 ) }.
% 0.95/1.60 { ! class_Divides_Osemiring__div( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.60 , c_Divides_Odiv__class_Odiv( X, c_Groups_Oplus__class_Oplus( X, Y, Z ),
% 0.95/1.60 Y ) = c_Groups_Oplus__class_Oplus( X, c_Divides_Odiv__class_Odiv( X, Z, Y
% 0.95/1.60 ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.95/1.60 { ! class_Divides_Osemiring__div( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.60 , c_Divides_Odiv__class_Odiv( X, c_Groups_Oplus__class_Oplus( X, Z, Y ),
% 0.95/1.60 Y ) = c_Groups_Oplus__class_Oplus( X, c_Divides_Odiv__class_Odiv( X, Z, Y
% 0.95/1.60 ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.95/1.60 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.95/1.60 ( X, hAPP( hAPP( c_Power_Opower__class_Opower( X ), Y ), T ), hAPP( hAPP
% 0.95/1.60 ( c_Power_Opower__class_Opower( X ), Y ), Z ) ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.95/1.60 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.95/1.60 ( tc_Nat_Onat, T, Z ), c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Y ), T ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Y ), Z ) ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.95/1.60 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.95/1.60 ( X, hAPP( hAPP( c_Power_Opower__class_Opower( X ), Y ), T ), hAPP( hAPP
% 0.95/1.60 ( c_Power_Opower__class_Opower( X ), Y ), Z ) ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.95/1.60 ( tc_Nat_Onat, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.60 c_Groups_Oone__class_Oone( X ), T ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.60 hAPP( hAPP( c_Power_Opower__class_Opower( X ), T ), Z ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), T ), Y ) ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__semidom( X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ), T )
% 0.95/1.60 , c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), T ), Z ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), T ), Y ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X
% 0.95/1.60 , Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.60 c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Z, Y ),
% 0.95/1.60 c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Z, X ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Nat_Onat ), X ), c_Divides_Odiv__class_Odiv( tc_Nat_Onat, hAPP( hAPP
% 0.95/1.60 ( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), X ), X ) = Y }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Nat_Onat ), X ), c_Divides_Odiv__class_Odiv( tc_Nat_Onat, hAPP( hAPP
% 0.95/1.60 ( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Y ), X ) = Y }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oone__class_Oone(
% 0.95/1.60 tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Divides_Odiv__class_Odiv(
% 0.95/1.60 tc_Nat_Onat, Y, X ), Y ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.95/1.60 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Oone__class_Oone( X ) ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( X ), Y ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Y ), Z ) ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Y ), Z ) ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.95/1.60 ( tc_Nat_Onat, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( X ), T ), ! c_Orderings_Oord__class_Oless( X
% 0.95/1.60 , T, c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.60 hAPP( hAPP( c_Power_Opower__class_Opower( X ), T ), Y ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), T ), Z ) ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__semidom( X ), ! hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), T ), Z ) = hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Y ), Z ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.95/1.60 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.95/1.60 X ), Y ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Z ), T = Y }.
% 0.95/1.60 { ! class_Rings_Olinordered__semidom( X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.95/1.60 ), ! c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oone__class_Oone
% 0.95/1.60 ( X ) ), c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), T ), Y ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), T ), Z ) ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.95/1.60 ( X, c_Groups_Oone__class_Oone( X ), Y ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Y ), T ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Y ), Z ) ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.95/1.60 ( X, c_Groups_Oone__class_Oone( X ), Y ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Y ), T ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Y ), Z ) ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.95/1.60 ( X, c_Groups_Oone__class_Oone( X ), Y ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Y ), T ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Y ), Z ) ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.95/1.60 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.95/1.60 ( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Z ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), hAPP(
% 0.95/1.60 hAPP( c_Power_Opower__class_Opower( X ), Y ), Z ) ) }.
% 0.95/1.60 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Y ), c_Groups_Ominus__class_Ominus(
% 0.95/1.60 tc_Nat_Onat, Z, T ) ) = c_Rings_Oinverse__class_Odivide( X, hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Y ), Z ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Y ), T ) ) }.
% 0.95/1.60 { X = c_Groups_Ozero__class_Ozero( tc_Complex_Ocomplex ), Y =
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Orderings_Oord__class_Oless
% 0.95/1.60 ( tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex
% 0.95/1.60 , c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex,
% 0.95/1.60 c_Groups_Oone__class_Oone( tc_Complex_Ocomplex ), hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Complex_Ocomplex ), X ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( tc_Complex_Ocomplex ), skol29( X, Y ) ), Y
% 0.95/1.60 ) ) ) ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.95/1.60 { ! class_Power_Opower( X ), c_Power_Opower__class_Opower( X ) =
% 0.95/1.60 c_Power_Opower_Opower( X, c_Groups_Oone__class_Oone( X ),
% 0.95/1.60 c_Groups_Otimes__class_Otimes( X ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Nat_Onat ), hAPP( hAPP( c_Power_Opower__class_Opower( tc_Nat_Onat )
% 0.95/1.60 , Y ), X ) ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.95/1.60 tc_Nat_Onat ), Y ) }.
% 0.95/1.60 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.95/1.60 tc_Nat_Onat ), hAPP( hAPP( c_Power_Opower__class_Opower( tc_Nat_Onat ), Y
% 0.95/1.60 ), X ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( tc_Nat_Onat ), Y ), X ) ) }.
% 0.95/1.60 { ! T = c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Z ), Y ), X ), alpha79( X,
% 0.95/1.60 Z ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Z ), Z =
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Divides_Odiv__class_Odiv(
% 0.95/1.60 tc_Int_Oint, T, Z ) = Y }.
% 0.95/1.60 { ! T = c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Z ), Y ), X ), alpha79( X,
% 0.95/1.60 Z ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), Z =
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Divides_Odiv__class_Odiv(
% 0.95/1.60 tc_Int_Oint, T, Z ) = Y }.
% 0.95/1.60 { ! alpha79( X, Y ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ) }.
% 0.95/1.60 { ! alpha79( X, Y ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Y ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Int_Oint ), Y ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), alpha79( X, Y ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Int_Oint ), Y ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Y )
% 0.95/1.60 , alpha79( X, Y ) }.
% 0.95/1.60 { ! hBOOL( hAPP( Z, c_Divides_Odiv__class_Odiv( tc_Int_Oint, Y, X ) ) ),
% 0.95/1.60 alpha20( X, Z ) }.
% 0.95/1.60 { ! hBOOL( hAPP( Z, c_Divides_Odiv__class_Odiv( tc_Int_Oint, Y, X ) ) ),
% 0.95/1.60 alpha46( X, Y, Z ) }.
% 0.95/1.60 { ! alpha20( X, Z ), ! alpha46( X, Y, Z ), hBOOL( hAPP( Z,
% 0.95/1.60 c_Divides_Odiv__class_Odiv( tc_Int_Oint, Y, X ) ) ) }.
% 0.95/1.60 { ! alpha46( X, Y, Z ), alpha59( X, Y, Z ) }.
% 0.95/1.60 { ! alpha46( X, Y, Z ), alpha67( X, Y, Z ) }.
% 0.95/1.60 { ! alpha59( X, Y, Z ), ! alpha67( X, Y, Z ), alpha46( X, Y, Z ) }.
% 0.95/1.60 { ! alpha67( X, Y, Z ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), alpha73( X, Y, Z ) }.
% 0.95/1.60 { c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), alpha67( X, Y, Z ) }.
% 0.95/1.60 { ! alpha73( X, Y, Z ), alpha67( X, Y, Z ) }.
% 0.95/1.60 { ! alpha73( X, Y, Z ), ! alpha75( X, Y, T ), hBOOL( hAPP( Z, T ) ) }.
% 0.95/1.60 { ! hBOOL( hAPP( Z, skol30( T, U, Z ) ) ), alpha73( X, Y, Z ) }.
% 0.95/1.60 { alpha75( X, Y, skol30( X, Y, Z ) ), alpha73( X, Y, Z ) }.
% 0.95/1.60 { ! alpha75( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.95/1.60 skol31( X, T, U ) ) }.
% 0.95/1.60 { ! alpha75( X, Y, Z ), alpha77( X, Y, Z, skol31( X, Y, Z ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, T ), ! alpha77( X, Y, Z
% 0.95/1.60 , T ), alpha75( X, Y, Z ) }.
% 0.95/1.60 { ! alpha77( X, Y, Z, T ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 T, c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.95/1.60 { ! alpha77( X, Y, Z, T ), Y = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.95/1.60 hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint ), X ), Z ), T ) }
% 0.95/1.60 .
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, T,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), ! Y =
% 0.95/1.60 c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), X ), Z ), T ), alpha77( X,
% 0.95/1.60 Y, Z, T ) }.
% 0.95/1.60 { ! alpha59( X, Y, Z ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), alpha68( X, Y, Z ) }.
% 0.95/1.60 { c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.95/1.60 tc_Int_Oint ), X ), alpha59( X, Y, Z ) }.
% 0.95/1.60 { ! alpha68( X, Y, Z ), alpha59( X, Y, Z ) }.
% 0.95/1.60 { ! alpha68( X, Y, Z ), ! alpha74( X, Y, T ), hBOOL( hAPP( Z, T ) ) }.
% 0.95/1.60 { ! hBOOL( hAPP( Z, skol32( T, U, Z ) ) ), alpha68( X, Y, Z ) }.
% 0.95/1.60 { alpha74( X, Y, skol32( X, Y, Z ) ), alpha68( X, Y, Z ) }.
% 0.95/1.60 { ! alpha74( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), skol33( T, U, W ) ) }.
% 0.95/1.60 { ! alpha74( X, Y, Z ), alpha76( X, Y, Z, skol33( X, Y, Z ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), T ), ! alpha76( X, Y, Z, T )
% 0.95/1.60 , alpha74( X, Y, Z ) }.
% 0.95/1.60 { ! alpha76( X, Y, Z, T ), c_Orderings_Oord__class_Oless( tc_Int_Oint, T, X
% 0.95/1.60 ) }.
% 0.95/1.60 { ! alpha76( X, Y, Z, T ), Y = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.95/1.60 hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint ), X ), Z ), T ) }
% 0.95/1.60 .
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, T, X ), ! Y =
% 0.95/1.60 c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), X ), Z ), T ), alpha76( X,
% 0.95/1.60 Y, Z, T ) }.
% 0.95/1.60 { ! alpha20( X, Y ), ! X = c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.95/1.60 hBOOL( hAPP( Y, c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) ) }.
% 0.95/1.60 { X = c_Groups_Ozero__class_Ozero( tc_Int_Oint ), alpha20( X, Y ) }.
% 0.95/1.60 { ! hBOOL( hAPP( Y, c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) ), alpha20
% 0.95/1.60 ( X, Y ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Int_Oint ), X ), c_Divides_Odiv__class_Odiv( tc_Int_Oint, Z, hAPP(
% 0.95/1.60 hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Y ), X ) ) =
% 0.95/1.60 c_Divides_Odiv__class_Odiv( tc_Int_Oint, c_Divides_Odiv__class_Odiv(
% 0.95/1.60 tc_Int_Oint, Z, Y ), X ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Int_Oint ), X ), ! X = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z,
% 0.95/1.60 hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint ), X ), Y ) ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Z ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.95/1.60 c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Int_Oint ), X ), ! X = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z,
% 0.95/1.60 hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint ), X ), Y ) ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Groups_Oone__class_Oone
% 0.95/1.60 ( tc_Int_Oint ), Y ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oplus__class_Oplus(
% 0.95/1.60 tc_Int_Oint, hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Z
% 0.95/1.60 ), Y ), X ) ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Z ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.95/1.60 tc_Int_Oint ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus
% 0.95/1.60 ( tc_Int_Oint, hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint ),
% 0.95/1.60 Z ), Y ), X ), c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.95/1.60 tc_Int_Oint ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), U ), T ), Z ),
% 0.95/1.60 c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), U ), Y ), X ) ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Z ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, U ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, U ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, T, Y ) }.
% 0.95/1.60 { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), W ), U ), T ) =
% 0.95/1.60 c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Z ), Y ), X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oplus__class_Oplus(
% 0.95/1.60 tc_Int_Oint, hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Z
% 0.95/1.60 ), Y ), X ) ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Z ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), T ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.95/1.60 tc_Int_Oint ), Z ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z,
% 0.95/1.60 W ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, U, Y ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), U ), T ), Z ),
% 0.95/1.60 c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), U ), Y ), X ) ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, U, X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, U, Z ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, T ) }.
% 0.95/1.60 { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), W ), U ), T ) =
% 0.95/1.60 c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Z ), Y ), X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.95/1.60 tc_Int_Oint, hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Z
% 0.95/1.60 ), Y ), X ), c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, T, W ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.95/1.60 tc_Int_Oint ), Z ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z,
% 0.95/1.60 W ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, U ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Int_Oint ), X ), ! hAPP( hAPP( c_Groups_Otimes__class_Otimes(
% 0.95/1.60 tc_Int_Oint ), X ), Y ) = c_Groups_Oone__class_Oone( tc_Int_Oint ), X =
% 0.95/1.60 c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Int_Oint ), X ), ! hAPP( hAPP( c_Groups_Otimes__class_Otimes(
% 0.95/1.60 tc_Int_Oint ), X ), Y ) = c_Groups_Oone__class_Oone( tc_Int_Oint ), Y =
% 0.95/1.60 c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Int_Oint ), X ), ! X = c_Groups_Oone__class_Oone( tc_Int_Oint ), ! Y
% 0.95/1.60 = c_Groups_Oone__class_Oone( tc_Int_Oint ), hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), X ), Y ) =
% 0.95/1.60 c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.95/1.60 tc_Int_Oint ), Z ), c_Orderings_Oord__class_Oless( tc_Int_Oint, hAPP(
% 0.95/1.60 hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Z ), Y ), hAPP( hAPP
% 0.95/1.60 ( c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Z ), X ) ) }.
% 0.95/1.60 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Z ),
% 0.95/1.60 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) =
% 0.95/1.60 c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Z ), Y ), hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Z ), X ) ) }.
% 0.95/1.60 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint ),
% 0.95/1.60 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, Y ) ), X ) =
% 0.95/1.60 c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Z ), X ), hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Y ), X ) ) }.
% 0.95/1.60 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Z ),
% 0.95/1.60 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ) ) =
% 0.95/1.60 c_Groups_Ominus__class_Ominus( tc_Int_Oint, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Z ), Y ), hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Z ), X ) ) }.
% 0.95/1.60 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint ),
% 0.95/1.60 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Z, Y ) ), X ) =
% 0.95/1.60 c_Groups_Ominus__class_Ominus( tc_Int_Oint, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Z ), X ), hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Y ), X ) ) }.
% 0.95/1.60 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint ), hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Z ), Y ) ), X ) = hAPP(
% 0.95/1.60 hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Z ), hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Y ), X ) ) }.
% 0.95/1.60 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint ), Y ), X ) = hAPP
% 0.95/1.60 ( hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint ), X ), Y ) }.
% 0.95/1.60 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint ),
% 0.95/1.60 c_Groups_Oone__class_Oone( tc_Int_Oint ) ), X ) = X }.
% 0.95/1.60 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint ), X ),
% 0.95/1.60 c_Groups_Oone__class_Oone( tc_Int_Oint ) ) = X }.
% 0.95/1.60 { ! class_Fields_Ofield( X ), ! c_Polynomial_Opdivmod__rel( X, T, Z, Y, U )
% 0.95/1.60 , c_Divides_Odiv__class_Odiv( tc_Polynomial_Opoly( X ), T, Z ) = Y }.
% 0.95/1.60 { ! class_Fields_Ofield( X ), c_Divides_Odiv__class_Odiv(
% 0.95/1.60 tc_Polynomial_Opoly( X ), T, hAPP( hAPP( c_Groups_Otimes__class_Otimes(
% 0.95/1.60 tc_Polynomial_Opoly( X ) ), Z ), Y ) ) = c_Divides_Odiv__class_Odiv(
% 0.95/1.60 tc_Polynomial_Opoly( X ), c_Divides_Odiv__class_Odiv( tc_Polynomial_Opoly
% 0.95/1.60 ( X ), T, Z ), Y ) }.
% 0.95/1.60 { hAPP( hAPP( c_Power_Opower_Opower( T, Z, Y ), X ),
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) = Z }.
% 0.95/1.60 { ! class_Fields_Ofield( X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 0.95/1.60 , c_Polynomial_Odegree( X, Z ), c_Polynomial_Odegree( X, Y ) ),
% 0.95/1.60 c_Divides_Odiv__class_Odiv( tc_Polynomial_Opoly( X ), Z, Y ) =
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { hAPP( hAPP( c_Power_Opower__class_Opower( tc_Complex_Ocomplex ),
% 0.95/1.60 c_Complex_Orcis( Z, Y ) ), X ) = c_Complex_Orcis( hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( tc_RealDef_Oreal ), Z ), X ), hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.95/1.60 tc_Nat_Onat, X ) ), Y ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol34( Z, T ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( tc_RealDef_Oreal ), skol34( X, Y ) ), X ) =
% 0.95/1.60 Y }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.95/1.60 tc_Int_Oint ), Y ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.95/1.60 c_Divides_Odiv__class_Odiv( tc_Int_Oint, X, Y ),
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Divides_Odiv__class_Odiv(
% 0.95/1.60 tc_Int_Oint, Y, X ), c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.95/1.60 tc_Int_Oint ), Y ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.95/1.60 tc_Int_Oint ), Y ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.95/1.60 c_Divides_Odiv__class_Odiv( tc_Int_Oint, Y, X ),
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Int_Oint ), X ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.95/1.60 c_Divides_Odiv__class_Odiv( tc_Int_Oint, Y, X ),
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Int_Oint ), X ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Divides_Odiv__class_Odiv(
% 0.95/1.60 tc_Int_Oint, Y, X ), c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.95/1.60 { c_Divides_Odiv__class_Odiv( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.95/1.60 tc_Int_Oint ), X ) = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Int_Oint ), X ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.95/1.60 c_Groups_Oone__class_Oone( tc_Int_Oint ), Y ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Divides_Odiv__class_Odiv(
% 0.95/1.60 tc_Int_Oint, X, Y ), X ) }.
% 0.95/1.60 { X = c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.95/1.60 c_Divides_Odiv__class_Odiv( tc_Int_Oint, X, X ) =
% 0.95/1.60 c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.95/1.60 { ! c_Divides_Odiv__class_Odiv( tc_Int_Oint, Y, X ) =
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X =
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), alpha21( X, Y ) }.
% 0.95/1.60 { ! X = c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.95/1.60 c_Divides_Odiv__class_Odiv( tc_Int_Oint, Y, X ) =
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.95/1.60 { ! alpha21( X, Y ), c_Divides_Odiv__class_Odiv( tc_Int_Oint, Y, X ) =
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.95/1.60 { ! alpha21( X, Y ), alpha47( X, Y ), alpha60( X, Y ) }.
% 0.95/1.60 { ! alpha47( X, Y ), alpha21( X, Y ) }.
% 0.95/1.60 { ! alpha60( X, Y ), alpha21( X, Y ) }.
% 0.95/1.60 { ! alpha60( X, Y ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.95/1.60 { ! alpha60( X, Y ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Y ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Y ), alpha60( X, Y ) }.
% 0.95/1.60 { ! alpha47( X, Y ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ) }.
% 0.95/1.60 { ! alpha47( X, Y ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), alpha47( X, Y ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Int_Oint ), X ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Divides_Odiv__class_Odiv(
% 0.95/1.60 tc_Int_Oint, Y, X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Int_Oint ), X ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Divides_Odiv__class_Odiv(
% 0.95/1.60 tc_Int_Oint, Y, X ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Int_Oint ), X ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Divides_Odiv__class_Odiv(
% 0.95/1.60 tc_Int_Oint, Y, X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X
% 0.95/1.60 , Y ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Int_Oint ), X ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X
% 0.95/1.60 , Y ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Divides_Odiv__class_Odiv(
% 0.95/1.60 tc_Int_Oint, Y, X ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.95/1.60 tc_Int_Oint ), c_Divides_Odiv__class_Odiv( tc_Int_Oint, X, Y ) ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.95/1.60 tc_Int_Oint ), c_Divides_Odiv__class_Odiv( tc_Int_Oint, X, Y ) ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.95/1.60 tc_Int_Oint ), Y ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.95/1.60 tc_Int_Oint ), Y ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Divides_Odiv__class_Odiv(
% 0.95/1.60 tc_Int_Oint, X, Y ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Divides_Odiv__class_Odiv(
% 0.95/1.60 tc_Int_Oint, X, Y ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.95/1.60 tc_Int_Oint ), Y ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.95/1.60 Z ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Divides_Odiv__class_Odiv( tc_Int_Oint, X, Z ),
% 0.95/1.60 c_Divides_Odiv__class_Odiv( tc_Int_Oint, X, Y ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Divides_Odiv__class_Odiv( tc_Int_Oint, X, Y ),
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Y ),
% 0.95/1.60 c_Divides_Odiv__class_Odiv( tc_Int_Oint, X, Y ) =
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Divides_Odiv__class_Odiv(
% 0.95/1.60 tc_Int_Oint, Y, X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y
% 0.95/1.60 , c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Divides_Odiv__class_Odiv(
% 0.95/1.60 tc_Int_Oint, Y, X ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.95/1.60 tc_Int_Oint ), Y ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Divides_Odiv__class_Odiv( tc_Int_Oint, X, Y ),
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.95/1.60 tc_Int_Oint ), Y ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.95/1.60 Z ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Divides_Odiv__class_Odiv( tc_Int_Oint, X, Y ),
% 0.95/1.60 c_Divides_Odiv__class_Odiv( tc_Int_Oint, X, Z ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.95/1.60 c_Divides_Odiv__class_Odiv( tc_Int_Oint, X, Y ) =
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.95/1.60 tc_Int_Oint ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Divides_Odiv__class_Odiv( tc_Int_Oint, Y, Z ),
% 0.95/1.60 c_Divides_Odiv__class_Odiv( tc_Int_Oint, X, Z ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Divides_Odiv__class_Odiv( tc_Int_Oint, X, Z ),
% 0.95/1.60 c_Divides_Odiv__class_Odiv( tc_Int_Oint, Y, Z ) ) }.
% 0.95/1.60 { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.95/1.60 tc_Int_Oint, c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ) =
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.95/1.60 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.95/1.60 tc_Int_Oint ) ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X )
% 0.95/1.60 }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.95/1.60 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.95/1.60 tc_Int_Oint ) ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.95/1.60 tc_Int_Oint ) ), X ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X )
% 0.95/1.60 }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.95/1.60 tc_Int_Oint ) ), X ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus
% 0.95/1.60 ( tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.95/1.60 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ),
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.95/1.60 tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.95/1.60 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ),
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.95/1.60 tc_Int_Oint ), c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.95/1.60 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.95/1.60 tc_Int_Oint ) ), X ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.95/1.60 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.95/1.60 tc_Int_Oint ) ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), Y
% 0.95/1.60 = X }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.95/1.60 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.95/1.60 tc_Int_Oint ) ) ) }.
% 0.95/1.60 { ! Y = X, c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.95/1.60 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.95/1.60 tc_Int_Oint ) ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.95/1.60 c_Groups_Ominus__class_Ominus( tc_Int_Oint, X, c_Groups_Oone__class_Oone
% 0.95/1.60 ( tc_Int_Oint ) ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.95/1.60 .
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.95/1.60 c_Groups_Ominus__class_Ominus( tc_Int_Oint, X, c_Groups_Oone__class_Oone
% 0.95/1.60 ( tc_Int_Oint ) ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.95/1.60 tc_Int_Oint ), X ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Int_Oint ), X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ) }.
% 0.95/1.60 { c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.95/1.60 tc_Int_Oint ), c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 0.95/1.60 { ! c_Groups_Ozero__class_Ozero( tc_Int_Oint ) = c_Groups_Oone__class_Oone
% 0.95/1.60 ( tc_Int_Oint ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), ! Y = X }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), Y = X,
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, T, Z ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.95/1.60 tc_Int_Oint, Y, T ), c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Z ) ) }
% 0.95/1.60 .
% 0.95/1.60 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.95/1.60 tc_Int_Oint ), X ) = X }.
% 0.95/1.60 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Int_Oint ) ) = X }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.95/1.60 tc_Int_Oint, Y, Z ), c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Z ) ) }
% 0.95/1.60 .
% 0.95/1.60 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), Y = X,
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Y ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ominus__class_Ominus
% 0.95/1.60 ( tc_Int_Oint, Y, X ), c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ),
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.95/1.60 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) =
% 0.95/1.60 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Y ) }.
% 0.95/1.60 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, c_Groups_Oplus__class_Oplus
% 0.95/1.60 ( tc_Int_Oint, Y, X ) ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 0.95/1.60 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, X ) ) }.
% 0.95/1.60 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.95/1.60 tc_Int_Oint, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z,
% 0.95/1.60 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, Y ),
% 0.95/1.60 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, X ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Y ), Y = X }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Z ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, Z ) }.
% 0.95/1.60 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Y ) }.
% 0.95/1.60 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, X ) }.
% 0.95/1.60 { c_Rings_Oinverse__class_Odivide( tc_Complex_Ocomplex, c_Complex_Orcis( T
% 0.95/1.60 , Z ), c_Complex_Orcis( Y, X ) ) = c_Complex_Orcis(
% 0.95/1.60 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, T, Y ),
% 0.95/1.60 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Z, X ) ) }.
% 0.95/1.60 { c_Complex_Orcis( c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) =
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Complex_Ocomplex ) }.
% 0.95/1.60 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Complex_Ocomplex ),
% 0.95/1.60 c_Complex_Orcis( T, Z ) ), c_Complex_Orcis( Y, X ) ) = c_Complex_Orcis(
% 0.95/1.60 hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), T ), Y ),
% 0.95/1.60 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, X ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( tc_Int_Oint ), X ), Y ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), X ), Y ) ) }.
% 0.95/1.60 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Ozero__class_Ozero(
% 0.95/1.60 tc_Int_Oint ) ) }.
% 0.95/1.60 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oone__class_Oone(
% 0.95/1.60 tc_Int_Oint ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oplus__class_Oplus(
% 0.95/1.60 tc_Int_Oint, X, Y ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ),
% 0.95/1.60 c_Divides_Odiv__class_Odiv( tc_Int_Oint, hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( tc_Int_Oint ), Y ), X ), Y ) = hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( tc_Int_Oint ), Y ),
% 0.95/1.60 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, c_Nat_OSuc(
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.95/1.60 c_Nat__Transfer_Otsub( X, Y ) = c_Groups_Ominus__class_Ominus(
% 0.95/1.60 tc_Int_Oint, X, Y ) }.
% 0.95/1.60 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.95/1.60 c_Nat__Transfer_Otsub( X, Y ) = c_Groups_Ozero__class_Ozero( tc_Int_Oint
% 0.95/1.60 ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc(
% 0.95/1.60 X ) ) }.
% 0.95/1.60 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( X ) ) }.
% 0.95/1.60 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.95/1.60 tc_Nat_Onat ), c_Nat_OSuc( X ) ) }.
% 0.95/1.60 { hAPP( hAPP( c_Power_Opower_Opower( U, T, Z ), Y ), c_Nat_OSuc( X ) ) =
% 0.95/1.60 hAPP( hAPP( Z, Y ), hAPP( hAPP( c_Power_Opower_Opower( U, T, Z ), Y ), X
% 0.95/1.60 ) ) }.
% 0.95/1.60 { ! hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), c_Nat_OSuc( Z
% 0.95/1.60 ) ), Y ) = hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ),
% 0.95/1.60 c_Nat_OSuc( Z ) ), X ), Y = X }.
% 0.95/1.60 { ! Y = X, hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ),
% 0.95/1.60 c_Nat_OSuc( Z ) ), Y ) = hAPP( hAPP( c_Groups_Otimes__class_Otimes(
% 0.95/1.60 tc_Nat_Onat ), c_Nat_OSuc( Z ) ), X ) }.
% 0.95/1.60 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( X ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Z ), Y ) ), Z ) = hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Z ), c_Nat_OSuc( Y ) ) }.
% 0.95/1.60 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( X ), Z ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Z ), Y ) ) = hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Z ), c_Nat_OSuc( Y ) ) }.
% 0.95/1.60 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Z ), c_Nat_OSuc( Y ) ) = hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( X ), Z ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Z ), Y ) ) }.
% 0.95/1.60 { ! class_Groups_Omonoid__mult( X ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Z ), c_Nat_OSuc( Y ) ) = hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( X ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Z ), Y ) ), Z ) }.
% 0.95/1.60 { ! class_Power_Opower( X ), hAPP( hAPP( c_Power_Opower__class_Opower( X )
% 0.95/1.60 , Z ), c_Nat_OSuc( Y ) ) = hAPP( hAPP( c_Groups_Otimes__class_Otimes( X )
% 0.95/1.60 , Z ), hAPP( hAPP( c_Power_Opower__class_Opower( X ), Z ), Y ) ) }.
% 0.95/1.60 { ! c_Nat_OSuc( Y ) = c_Nat_OSuc( X ), Y = X }.
% 0.95/1.60 { ! c_Nat_OSuc( Y ) = c_Nat_OSuc( X ), Y = X }.
% 0.95/1.60 { ! Y = X, c_Nat_OSuc( Y ) = c_Nat_OSuc( X ) }.
% 0.95/1.60 { ! c_Nat_OSuc( X ) = X }.
% 0.95/1.60 { ! X = c_Nat_OSuc( X ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( X ), X ) }
% 0.95/1.60 .
% 0.95/1.60 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( X ), Y ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( X ), Y ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = c_Nat_OSuc( X
% 0.95/1.60 ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.95/1.60 { ! Y = c_Nat_OSuc( X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 0.95/1.60 , c_Nat_OSuc( X ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ),
% 0.95/1.60 c_Nat_OSuc( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X )
% 0.95/1.60 }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ),
% 0.95/1.60 c_Nat_OSuc( X ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = c_Nat_OSuc( X
% 0.95/1.60 ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.95/1.60 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.95/1.60 ( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ), c_Nat_OSuc( X ) ) =
% 0.95/1.60 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.95/1.60 ( tc_Nat_Onat, Z, Y ), X ) }.
% 0.95/1.60 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc(
% 0.95/1.60 X ) ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) }.
% 0.95/1.60 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) =
% 0.95/1.60 c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.95/1.60 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) =
% 0.95/1.60 c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.95/1.60 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) =
% 0.95/1.60 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc
% 0.95/1.60 ( X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), Y = X }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), Z ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), c_Nat_OSuc( Y ) = X
% 0.95/1.60 , c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.95/1.60 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ), X = Y }
% 0.95/1.60 .
% 0.95/1.60 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ), Y = X }
% 0.95/1.60 .
% 0.95/1.60 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X,
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc
% 0.95/1.60 ( X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc(
% 0.95/1.60 X ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), Y = X }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.95/1.60 { ! Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) )
% 0.95/1.60 }.
% 0.95/1.60 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.95/1.60 { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) = c_Nat_OSuc( X ) }.
% 0.95/1.60 { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) = c_Nat_OSuc( X ) }.
% 0.95/1.60 { ! c_Nat_OSuc( X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.60 { ! c_Nat_OSuc( X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.60 { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) = c_Nat_OSuc( X ) }.
% 0.95/1.60 { ! c_Nat_OSuc( X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.60 { c_Divides_Odiv__class_Odiv( tc_Nat_Onat, X, c_Nat_OSuc(
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) = X }.
% 0.95/1.60 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) =
% 0.95/1.60 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.95/1.60 ( tc_Nat_Onat, Y, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ), X ) }.
% 0.95/1.60 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( X ),
% 0.95/1.60 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) = X }.
% 0.95/1.60 { c_Nat_OSuc( X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.95/1.60 c_Groups_Oone__class_Oone( tc_Nat_Onat ), X ) }.
% 0.95/1.60 { c_Nat_OSuc( X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.95/1.60 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.60 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( X ), Y ) =
% 0.95/1.60 c_Nat_OSuc( c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), c_Nat_OSuc( Z ) ), Y ),
% 0.95/1.60 hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), c_Nat_OSuc( Z )
% 0.95/1.60 ), X ) ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), c_Nat_OSuc( Z ) ), Y ),
% 0.95/1.60 hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), c_Nat_OSuc( Z )
% 0.95/1.60 ), X ) ) }.
% 0.95/1.60 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), c_Nat_OSuc( Y )
% 0.95/1.60 ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), X ) ) }.
% 0.95/1.60 { hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), c_Nat_OSuc
% 0.95/1.60 ( X ) ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), X ) ) }.
% 0.95/1.60 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.95/1.60 ( tc_Nat_Onat, Y, X ), c_Nat_OSuc( Y ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), c_Nat_OSuc( Z ) ), Y ),
% 0.95/1.60 hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), c_Nat_OSuc( Z )
% 0.95/1.60 ), X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), c_Nat_OSuc( Z ) ), Y ),
% 0.95/1.60 hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), c_Nat_OSuc( Z )
% 0.95/1.60 ), X ) ) }.
% 0.95/1.60 { c_Groups_Oone__class_Oone( tc_Nat_Onat ) = c_Nat_OSuc(
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ), X = Y }
% 0.95/1.60 .
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), ! X = Y,
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.95/1.60 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc(
% 0.95/1.60 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) ) }.
% 0.95/1.60 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc(
% 0.95/1.60 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), X = c_Nat_OSuc(
% 0.95/1.60 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol35( X, Y ) ) ) }.
% 0.95/1.60 { ! X = c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ) ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.95/1.60 { ! hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), X ) =
% 0.95/1.60 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y = c_Nat_OSuc
% 0.95/1.60 ( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.95/1.60 { ! hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), X ) =
% 0.95/1.60 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X = c_Nat_OSuc
% 0.95/1.60 ( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.95/1.60 { ! Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), ! X =
% 0.95/1.60 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), X ) = c_Nat_OSuc(
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.95/1.60 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), alpha22( X, Y ), alpha48( X
% 0.95/1.60 , Y ) }.
% 0.95/1.60 { ! alpha22( X, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.95/1.60 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.95/1.60 { ! alpha48( X, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.95/1.60 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.95/1.60 { ! alpha48( X, Y ), Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.60 { ! alpha48( X, Y ), X = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.95/1.60 tc_Nat_Onat ) ) }.
% 0.95/1.60 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), ! X = c_Nat_OSuc(
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), alpha48( X, Y ) }.
% 0.95/1.60 { ! alpha22( X, Y ), Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.95/1.60 tc_Nat_Onat ) ) }.
% 0.95/1.60 { ! alpha22( X, Y ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.60 { ! Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), ! X =
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha22( X, Y ) }.
% 0.95/1.60 { ! c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 0.95/1.60 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ), alpha23( X, Y ),
% 0.95/1.60 alpha49( X, Y ) }.
% 0.95/1.60 { ! alpha23( X, Y ), c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.95/1.60 ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) }.
% 0.95/1.60 { ! alpha49( X, Y ), c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.95/1.60 ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) }.
% 0.95/1.60 { ! alpha49( X, Y ), Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.60 { ! alpha49( X, Y ), X = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.95/1.60 tc_Nat_Onat ) ) }.
% 0.95/1.60 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), ! X = c_Nat_OSuc(
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), alpha49( X, Y ) }.
% 0.95/1.60 { ! alpha23( X, Y ), Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.95/1.60 tc_Nat_Onat ) ) }.
% 0.95/1.60 { ! alpha23( X, Y ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.60 { ! Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), ! X =
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha23( X, Y ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Nat_Onat ), X ), X = c_Nat_OSuc( skol36( X ) ) }.
% 0.95/1.60 { ! X = c_Nat_OSuc( Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc(
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), X =
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.60 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc(
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ), Y =
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha24( X, Y ) }.
% 0.95/1.60 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.95/1.60 { ! alpha24( X, Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.95/1.60 c_Nat_OSuc( X ) ) }.
% 0.95/1.60 { ! alpha24( X, Y ), Y = c_Nat_OSuc( skol37( Z, Y ) ) }.
% 0.95/1.60 { ! alpha24( X, Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, skol37( X
% 0.95/1.60 , Y ), X ) }.
% 0.95/1.60 { ! Y = c_Nat_OSuc( Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X
% 0.95/1.60 ), alpha24( X, Y ) }.
% 0.95/1.60 { ! class_Power_Opower( X ), ! class_Rings_Osemiring__0( X ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.95/1.60 c_Nat_OSuc( Y ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( c_Nat_OSuc(
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) ), X =
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X = c_Nat_OSuc(
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.95/1.60 { hAPP( hAPP( c_Power_Opower__class_Opower( tc_Nat_Onat ), c_Nat_OSuc(
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), X ) = c_Nat_OSuc(
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.95/1.60 { ! hAPP( hAPP( c_Power_Opower__class_Opower( tc_Nat_Onat ), Y ), X ) =
% 0.95/1.60 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X =
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y = c_Nat_OSuc(
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.95/1.60 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( tc_Nat_Onat ), Y ), X ) = c_Nat_OSuc(
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.95/1.60 { ! Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), hAPP(
% 0.95/1.60 hAPP( c_Power_Opower__class_Opower( tc_Nat_Onat ), Y ), X ) = c_Nat_OSuc
% 0.95/1.60 ( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__semidom( X ), ! hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Z ), c_Nat_OSuc( T ) ) = hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Y ), c_Nat_OSuc( T ) ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.95/1.60 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.95/1.60 X ), Y ), Z = Y }.
% 0.95/1.60 { ! class_Rings_Olinordered__semidom( X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Z ), c_Nat_OSuc( T ) ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Y ), c_Nat_OSuc( T ) ) ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.60 ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.95/1.60 ( X, c_Groups_Oone__class_Oone( X ), Y ), c_Orderings_Oord__class_Oless(
% 0.95/1.60 X, c_Groups_Oone__class_Oone( X ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Y ), c_Nat_OSuc( Z ) ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), X ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Y ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), X ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Nat_Onat ), X ), c_Nat_OSuc( c_Groups_Ominus__class_Ominus(
% 0.95/1.60 tc_Nat_Onat, X, c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) )
% 0.95/1.60 ) ) = X }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.95/1.60 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ), X ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), X ) ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), X ) ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Y ), X ) ) }.
% 0.95/1.60 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.95/1.60 tc_Nat_Onat, c_Nat_OSuc( X ) ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.60 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc(
% 0.95/1.60 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ), Z ) =
% 0.95/1.60 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( X ),
% 0.95/1.60 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.60 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, c_Nat_OSuc(
% 0.95/1.60 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) ) =
% 0.95/1.60 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.95/1.60 tc_Nat_Onat, Z, Y ), c_Nat_OSuc( X ) ) }.
% 0.95/1.60 { c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.95/1.60 tc_Nat_Onat ) ) ) = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.95/1.60 { c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( X ) ) =
% 0.95/1.60 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.60 tc_Nat_Onat, X ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( tc_Nat_Onat ), X ), Y ) ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__semidom( X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.60 ), ! c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Oone__class_Oone
% 0.95/1.60 ( X ) ), c_Orderings_Oord__class_Oless__eq( X, hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Y ), c_Nat_OSuc( Z ) ), Y ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.95/1.60 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Oone__class_Oone( X ) ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( X, hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Y ), c_Nat_OSuc( Z ) ),
% 0.95/1.60 c_Groups_Oone__class_Oone( X ) ) }.
% 0.95/1.60 { ! class_Groups_Omonoid__mult( X ), ! c_Orderings_Oord__class_Oless__eq(
% 0.95/1.60 tc_Nat_Onat, Z, Y ), hAPP( hAPP( c_Power_Opower__class_Opower( X ), T ),
% 0.95/1.60 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( Y ), Z ) ) = hAPP
% 0.95/1.60 ( hAPP( c_Groups_Otimes__class_Otimes( X ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), T ), c_Groups_Ominus__class_Ominus(
% 0.95/1.60 tc_Nat_Onat, Y, Z ) ) ), T ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Nat_Onat ), X ), X = c_Nat_OSuc( c_Groups_Ominus__class_Ominus(
% 0.95/1.60 tc_Nat_Onat, X, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Nat_Onat ), X ), c_Nat_OSuc( c_Groups_Ominus__class_Ominus(
% 0.95/1.60 tc_Nat_Onat, X, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) = X }.
% 0.95/1.60 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.95/1.60 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = X }.
% 0.95/1.60 { Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.95/1.60 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.95/1.60 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.95/1.60 tc_Nat_Onat, Y, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ), X ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X )
% 0.95/1.60 , c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.95/1.60 c_Divides_Odiv__class_Odiv( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.95/1.60 tc_Nat_Onat, Y, X ), X ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X
% 0.95/1.60 ), c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, X ) =
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X )
% 0.95/1.60 , c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.95/1.60 c_Divides_Odiv__class_Odiv( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.95/1.60 tc_Nat_Onat, Y, X ), X ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Nat__Transfer_Otsub( X, Y )
% 0.95/1.60 ) }.
% 0.95/1.60 { ! class_Groups_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero(
% 0.95/1.60 tc_Polynomial_Opoly( X ) ),
% 0.95/1.60 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize( X, Y ) =
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.60 { ! class_Groups_Ozero( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.95/1.60 tc_Polynomial_Opoly( X ) ),
% 0.95/1.60 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize( X, Y ) = c_Nat_OSuc(
% 0.95/1.60 c_Polynomial_Odegree( X, Y ) ) }.
% 0.95/1.60 { ! class_Rings_Ocomm__ring__1( X ), c_Groups_Ominus__class_Ominus( X, hAPP
% 0.95/1.60 ( hAPP( c_Power_Opower__class_Opower( X ), Z ), c_Nat_OSuc( c_Nat_OSuc(
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( X ), Y ), c_Nat_OSuc( c_Nat_OSuc(
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) ) ) = hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( X ), c_Groups_Ominus__class_Ominus( X, Z,
% 0.95/1.60 Y ) ), c_Groups_Oplus__class_Oplus( X, Z, Y ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.95/1.60 c_Nat__Transfer_Otsub( X, Y ) = c_Groups_Ominus__class_Ominus(
% 0.95/1.60 tc_Int_Oint, X, Y ) }.
% 0.95/1.60 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Z ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.60 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol38( X, Y, Z ) ) ), Z ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.60 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, T ) ), c_RealDef_Oreal(
% 0.95/1.60 tc_Nat_Onat, c_Nat_OSuc( skol48( X, Y ) ) ) ) }.
% 0.95/1.60 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.60 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol51( X, Y, Z ) ) ),
% 0.95/1.60 c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( Z ) ) ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol53( T, U ) ) }.
% 0.95/1.60 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.60 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol51( X, Y, Z ) ) ),
% 0.95/1.60 c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( Z ) ) ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.60 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, T ) ), skol53( X, Y ) ) }.
% 0.95/1.60 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Z ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.60 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol39( X, Y, Z ) ) ), Z ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, T ) ), c_RealDef_Oreal(
% 0.95/1.60 tc_Nat_Onat, c_Nat_OSuc( skol49( X, Y ) ) ) ) }.
% 0.95/1.60 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol52( X, Y, Z ) ) ),
% 0.95/1.60 c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( Z ) ) ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol54( T, U ) ) }.
% 0.95/1.60 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol52( X, Y, Z ) ) ),
% 0.95/1.60 c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( Z ) ) ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.60 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, T ) ), skol54( X, Y ) ) }.
% 0.95/1.60 { ! hBOOL( hAPP( Z, c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, X ) ) ),
% 0.95/1.60 alpha25( X, Z ), alpha50( X, Y, Z ) }.
% 0.95/1.60 { ! alpha25( X, Z ), hBOOL( hAPP( Z, c_Divides_Odiv__class_Odiv(
% 0.95/1.60 tc_Nat_Onat, Y, X ) ) ) }.
% 0.95/1.60 { ! alpha50( X, Y, Z ), hBOOL( hAPP( Z, c_Divides_Odiv__class_Odiv(
% 0.95/1.60 tc_Nat_Onat, Y, X ) ) ) }.
% 0.95/1.60 { ! alpha50( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.60 hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), skol40( X
% 0.95/1.60 , Y, T ) ), Y ) }.
% 0.95/1.60 { ! alpha50( X, Y, Z ), alpha61( X, Y, Z, skol40( X, Y, Z ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), T ), Y ), ! alpha61( X
% 0.95/1.60 , Y, Z, T ), alpha50( X, Y, Z ) }.
% 0.95/1.60 { ! alpha61( X, Y, Z, T ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.95/1.60 hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), c_Nat_OSuc
% 0.95/1.60 ( T ) ) ) }.
% 0.95/1.60 { ! alpha61( X, Y, Z, T ), hBOOL( hAPP( Z, T ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), c_Nat_OSuc( T ) ) ), !
% 0.95/1.60 hBOOL( hAPP( Z, T ) ), alpha61( X, Y, Z, T ) }.
% 0.95/1.60 { ! alpha25( X, Y ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.60 { ! alpha25( X, Y ), hBOOL( hAPP( Y, c_Groups_Ozero__class_Ozero(
% 0.95/1.60 tc_Nat_Onat ) ) ) }.
% 0.95/1.60 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), ! hBOOL( hAPP( Y,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), alpha25( X, Y ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.60 hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Z ), Y ),
% 0.95/1.60 ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), c_Nat_OSuc( Z ) ) ), Z
% 0.95/1.60 = c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, X ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Nat_Onat ), X ), ! Z = c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, X
% 0.95/1.60 ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Z ), Y ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Nat_Onat ), X ), ! Z = c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, X
% 0.95/1.60 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), c_Nat_OSuc( Z ) ) ) }
% 0.95/1.60 .
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X
% 0.95/1.60 , Y ), c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.95/1.60 c_Divides_Odiv__class_Odiv( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.95/1.60 tc_Nat_Onat, Y, X ), X ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.95/1.60 tc_Nat_Onat, skol41( X, Y ) ) ), X ), Y ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.95/1.60 tc_Nat_Onat, c_Nat_OSuc( skol41( X, Y ) ) ) ), X ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.60 tc_Nat_Onat, skol42( X ) ), X ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, c_RealDef_Oreal(
% 0.95/1.60 tc_Nat_Onat, c_Nat_OSuc( skol42( X ) ) ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol43( Z, T ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( tc_RealDef_Oreal ), skol43( X, Y ) ), X ) =
% 0.95/1.60 Y }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Z ), ! hAPP( hAPP(
% 0.95/1.60 c_Power_Opower__class_Opower( tc_RealDef_Oreal ), Z ), X ) = Y, Z =
% 0.95/1.60 skol43( X, Y ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.95/1.60 c_Transcendental_Oln( hAPP( hAPP( c_Power_Opower__class_Opower(
% 0.95/1.60 tc_RealDef_Oreal ), X ), Y ) ) = hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.95/1.60 tc_Nat_Onat, Y ) ), c_Transcendental_Oln( X ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_Transcendental_Oln( X
% 0.95/1.60 ), c_Transcendental_Oln( Y ) ), c_Orderings_Oord__class_Oless(
% 0.95/1.60 tc_RealDef_Oreal, X, Y ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, Y ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_Transcendental_Oln( X
% 0.95/1.60 ), c_Transcendental_Oln( Y ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), !
% 0.95/1.60 c_Transcendental_Oln( X ) = c_Transcendental_Oln( Y ), X = Y }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), ! X = Y,
% 0.95/1.60 c_Transcendental_Oln( X ) = c_Transcendental_Oln( Y ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_Transcendental_Oln( X
% 0.95/1.60 ), X ) }.
% 0.95/1.60 { c_Transcendental_Oln( c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) =
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_Transcendental_Oln
% 0.95/1.60 ( X ), c_Transcendental_Oln( Y ) ), c_Orderings_Oord__class_Oless__eq(
% 0.95/1.60 tc_RealDef_Oreal, X, Y ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Y ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_Transcendental_Oln
% 0.95/1.60 ( X ), c_Transcendental_Oln( Y ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_Transcendental_Oln( X
% 0.95/1.60 ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_Transcendental_Oln( X
% 0.95/1.60 ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_Transcendental_Oln( X
% 0.95/1.60 ) ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_Transcendental_Oln( X
% 0.95/1.60 ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.95/1.60 c_Transcendental_Oln( X ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal
% 0.95/1.60 ), X = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), ! X =
% 0.95/1.60 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_Transcendental_Oln( X )
% 0.95/1.60 = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_Transcendental_Oln( X
% 0.95/1.60 ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.95/1.60 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.95/1.60 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_Transcendental_Oln( X
% 0.95/1.60 ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.95/1.60 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_Transcendental_Oln( X
% 0.95/1.60 ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_Transcendental_Oln( X
% 0.95/1.60 ) ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_Transcendental_Oln( X
% 0.95/1.60 ) ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_Transcendental_Oln( X
% 0.95/1.60 ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_Transcendental_Oln( X
% 0.95/1.60 ) ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.95/1.60 c_Transcendental_Oln( hAPP( hAPP( c_Groups_Otimes__class_Otimes(
% 0.95/1.60 tc_RealDef_Oreal ), X ), Y ) ) = c_Groups_Oplus__class_Oplus(
% 0.95/1.60 tc_RealDef_Oreal, c_Transcendental_Oln( X ), c_Transcendental_Oln( Y ) )
% 0.95/1.60 }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_Transcendental_Oln
% 0.95/1.60 ( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) ), X ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.95/1.60 c_Transcendental_Oln( c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.95/1.60 X, Y ) ) = c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.95/1.60 c_Transcendental_Oln( X ), c_Transcendental_Oln( Y ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Nat_Onat ), X ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.95/1.60 c_RealDef_Oreal( tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) =
% 0.95/1.60 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.60 tc_Nat_Onat, c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, X ) ),
% 0.95/1.60 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.60 tc_Nat_Onat, c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ) ),
% 0.95/1.60 c_RealDef_Oreal( tc_Nat_Onat, X ) ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), ! hBOOL( hAPP( hAPP( Z,
% 0.95/1.60 c_Divides_Odiv__class_Odiv( tc_Int_Oint, Y, X ) ),
% 0.95/1.60 c_Divides_Odiv__class_Omod( tc_Int_Oint, Y, X ) ) ), ! alpha26( X, Y, T,
% 0.95/1.60 U ), hBOOL( hAPP( hAPP( Z, T ), U ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), alpha26( X, Y, skol44( X, Y
% 0.95/1.60 , Z ), skol50( X, Y, Z ) ), hBOOL( hAPP( hAPP( Z,
% 0.95/1.60 c_Divides_Odiv__class_Odiv( tc_Int_Oint, Y, X ) ),
% 0.95/1.60 c_Divides_Odiv__class_Omod( tc_Int_Oint, Y, X ) ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), ! hBOOL( hAPP( hAPP( Z,
% 0.95/1.60 skol44( X, Y, Z ) ), skol50( X, Y, Z ) ) ), hBOOL( hAPP( hAPP( Z,
% 0.95/1.60 c_Divides_Odiv__class_Odiv( tc_Int_Oint, Y, X ) ),
% 0.95/1.60 c_Divides_Odiv__class_Omod( tc_Int_Oint, Y, X ) ) ) }.
% 0.95/1.60 { ! alpha26( X, Y, Z, T ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, T
% 0.95/1.60 ) }.
% 0.95/1.60 { ! alpha26( X, Y, Z, T ), alpha51( X, Y, Z, T ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, T ), ! alpha51( X, Y, Z
% 0.95/1.60 , T ), alpha26( X, Y, Z, T ) }.
% 0.95/1.60 { ! alpha51( X, Y, Z, T ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 T, c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.95/1.60 { ! alpha51( X, Y, Z, T ), Y = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.95/1.60 hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint ), X ), Z ), T ) }
% 0.95/1.60 .
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, T,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), ! Y =
% 0.95/1.60 c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), X ), Z ), T ), alpha51( X,
% 0.95/1.60 Y, Z, T ) }.
% 0.95/1.60 { c_Divides_Odiv__class_Omod( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) =
% 0.95/1.60 c_Divides_Odiv__class_Omod( tc_Nat_Onat, c_Nat_OSuc(
% 0.95/1.60 c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ) ), X ) }.
% 0.95/1.60 { c_Divides_Odiv__class_Omod( tc_Nat_Onat, X, c_Nat_OSuc(
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) =
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.60 { ! c_Nat_OSuc( c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ) ) = X,
% 0.95/1.60 c_Divides_Odiv__class_Omod( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) =
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.60 { c_Nat_OSuc( c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ) ) = X,
% 0.95/1.60 c_Divides_Odiv__class_Omod( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) =
% 0.95/1.60 c_Nat_OSuc( c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ) ) }.
% 0.95/1.60 { c_Divides_Odiv__class_Odiv( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.95/1.60 tc_Int_Oint, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.95/1.60 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Divides_Odiv__class_Odiv(
% 0.95/1.60 tc_Int_Oint, Z, X ), c_Divides_Odiv__class_Odiv( tc_Int_Oint, Y, X ) ),
% 0.95/1.60 c_Divides_Odiv__class_Odiv( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.95/1.60 tc_Int_Oint, c_Divides_Odiv__class_Omod( tc_Int_Oint, Z, X ),
% 0.95/1.60 c_Divides_Odiv__class_Omod( tc_Int_Oint, Y, X ) ), X ) ) }.
% 0.95/1.60 { c_Divides_Odiv__class_Odiv( tc_Int_Oint, c_Divides_Odiv__class_Omod(
% 0.95/1.60 tc_Int_Oint, Y, X ), X ) = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.95/1.60 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Odiv( X,
% 0.95/1.60 c_Divides_Odiv__class_Omod( X, Z, Y ), Y ) = c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( X ) }.
% 0.95/1.60 { c_Divides_Odiv__class_Odiv( tc_Int_Oint, X, c_Groups_Ozero__class_Ozero(
% 0.95/1.60 tc_Int_Oint ) ) = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.95/1.60 { c_Divides_Odiv__class_Omod( tc_Int_Oint, X, c_Groups_Ozero__class_Ozero(
% 0.95/1.60 tc_Int_Oint ) ) = X }.
% 0.95/1.60 { c_Divides_Odiv__class_Omod( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.95/1.60 tc_Nat_Onat, hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), Z
% 0.95/1.60 ), Y ), X ), Y ) = c_Divides_Odiv__class_Omod( tc_Nat_Onat, X, Y ) }.
% 0.95/1.60 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.95/1.60 c_Groups_Oplus__class_Oplus( X, T, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ), Y ) =
% 0.95/1.60 c_Divides_Odiv__class_Omod( X, T, Y ) }.
% 0.95/1.60 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.95/1.60 c_Groups_Oplus__class_Oplus( X, T, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( X ), Z ), Y ) ), Z ) =
% 0.95/1.60 c_Divides_Odiv__class_Omod( X, T, Z ) }.
% 0.95/1.60 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X, hAPP
% 0.95/1.60 ( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), Y ), Z ) =
% 0.95/1.60 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.60 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X, hAPP
% 0.95/1.60 ( hAPP( c_Groups_Otimes__class_Otimes( X ), Z ), Y ), Y ) =
% 0.95/1.60 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.60 { ! c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ) =
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y = hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), skol45( X, Y ) ) }.
% 0.95/1.60 { ! Y = hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat ), X ), Z )
% 0.95/1.60 , c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ) =
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.60 { ! c_Divides_Odiv__class_Omod( tc_Int_Oint, Y, X ) =
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y = hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_Int_Oint ), X ), skol46( X, Y ) ) }.
% 0.95/1.60 { ! Y = hAPP( hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint ), X ), Z )
% 0.95/1.60 , c_Divides_Odiv__class_Omod( tc_Int_Oint, Y, X ) =
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.95/1.60 { c_Divides_Odiv__class_Odiv( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.95/1.60 tc_Nat_Onat, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.95/1.60 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Divides_Odiv__class_Odiv(
% 0.95/1.60 tc_Nat_Onat, Z, X ), c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, X ) ),
% 0.95/1.60 c_Divides_Odiv__class_Odiv( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.95/1.60 tc_Nat_Onat, c_Divides_Odiv__class_Omod( tc_Nat_Onat, Z, X ),
% 0.95/1.60 c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ) ), X ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.60 c_Divides_Odiv__class_Omod( tc_Nat_Onat, X, Y ) =
% 0.95/1.60 c_Divides_Odiv__class_Omod( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.95/1.60 tc_Nat_Onat, X, Y ), Y ) }.
% 0.95/1.60 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.60 c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ), Y ) }.
% 0.95/1.60 { c_Divides_Odiv__class_Omod( tc_Int_Oint, c_Groups_Ominus__class_Ominus(
% 0.95/1.60 tc_Int_Oint, Z, c_Divides_Odiv__class_Omod( tc_Int_Oint, Y, X ) ), X ) =
% 0.95/1.60 c_Divides_Odiv__class_Omod( tc_Int_Oint, c_Groups_Ominus__class_Ominus(
% 0.95/1.60 tc_Int_Oint, Z, Y ), X ) }.
% 0.95/1.60 { c_Divides_Odiv__class_Omod( tc_Int_Oint, c_Groups_Ominus__class_Ominus(
% 0.95/1.60 tc_Int_Oint, c_Divides_Odiv__class_Omod( tc_Int_Oint, Z, Y ), X ), Y ) =
% 0.95/1.60 c_Divides_Odiv__class_Omod( tc_Int_Oint, c_Groups_Ominus__class_Ominus(
% 0.95/1.60 tc_Int_Oint, Z, X ), Y ) }.
% 0.95/1.60 { ! class_Divides_Oring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.95/1.60 c_Groups_Ominus__class_Ominus( X, T, Z ), Y ) =
% 0.95/1.60 c_Divides_Odiv__class_Omod( X, c_Groups_Ominus__class_Ominus( X, T,
% 0.95/1.60 c_Divides_Odiv__class_Omod( X, Z, Y ) ), Y ) }.
% 0.95/1.60 { ! class_Divides_Oring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.95/1.60 c_Groups_Ominus__class_Ominus( X, T, Z ), Y ) =
% 0.95/1.60 c_Divides_Odiv__class_Omod( X, c_Groups_Ominus__class_Ominus( X,
% 0.95/1.60 c_Divides_Odiv__class_Omod( X, T, Y ), Z ), Y ) }.
% 0.95/1.60 { ! class_Divides_Oring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.95/1.60 c_Groups_Ominus__class_Ominus( X, T, Z ), Y ) =
% 0.95/1.60 c_Divides_Odiv__class_Omod( X, c_Groups_Ominus__class_Ominus( X,
% 0.95/1.60 c_Divides_Odiv__class_Omod( X, T, Y ), c_Divides_Odiv__class_Omod( X, Z,
% 0.95/1.60 Y ) ), Y ) }.
% 0.95/1.60 { ! class_Divides_Oring__div( X ), ! c_Divides_Odiv__class_Omod( X, T, Z )
% 0.95/1.60 = c_Divides_Odiv__class_Omod( X, Y, Z ), ! c_Divides_Odiv__class_Omod( X
% 0.95/1.60 , W, Z ) = c_Divides_Odiv__class_Omod( X, U, Z ),
% 0.95/1.60 c_Divides_Odiv__class_Omod( X, c_Groups_Ominus__class_Ominus( X, T, W ),
% 0.95/1.60 Z ) = c_Divides_Odiv__class_Omod( X, c_Groups_Ominus__class_Ominus( X, Y
% 0.95/1.60 , U ), Z ) }.
% 0.95/1.60 { ! class_Divides_Osemiring__div( X ), ! c_Divides_Odiv__class_Omod( X, T,
% 0.95/1.60 Z ) = c_Divides_Odiv__class_Omod( X, Y, Z ), ! c_Divides_Odiv__class_Omod
% 0.95/1.60 ( X, W, Z ) = c_Divides_Odiv__class_Omod( X, U, Z ),
% 0.95/1.60 c_Divides_Odiv__class_Omod( X, c_Groups_Oplus__class_Oplus( X, T, W ), Z
% 0.95/1.60 ) = c_Divides_Odiv__class_Omod( X, c_Groups_Oplus__class_Oplus( X, Y, U
% 0.95/1.60 ), Z ) }.
% 0.95/1.60 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.95/1.60 c_Groups_Oplus__class_Oplus( X, c_Divides_Odiv__class_Omod( X, T, Z ), Y
% 0.95/1.60 ), Z ) = c_Divides_Odiv__class_Omod( X, c_Groups_Oplus__class_Oplus( X,
% 0.95/1.60 T, Y ), Z ) }.
% 0.95/1.60 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.95/1.60 c_Groups_Oplus__class_Oplus( X, T, c_Divides_Odiv__class_Omod( X, Z, Y )
% 0.95/1.60 ), Y ) = c_Divides_Odiv__class_Omod( X, c_Groups_Oplus__class_Oplus( X,
% 0.95/1.60 T, Z ), Y ) }.
% 0.95/1.60 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.95/1.60 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Divides_Odiv__class_Omod
% 0.95/1.60 ( X, c_Groups_Oplus__class_Oplus( X, c_Divides_Odiv__class_Omod( X, T, Y
% 0.95/1.60 ), c_Divides_Odiv__class_Omod( X, Z, Y ) ), Y ) }.
% 0.95/1.60 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.95/1.60 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Divides_Odiv__class_Omod
% 0.95/1.60 ( X, c_Groups_Oplus__class_Oplus( X, c_Divides_Odiv__class_Omod( X, T, Y
% 0.95/1.60 ), Z ), Y ) }.
% 0.95/1.60 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.95/1.60 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Divides_Odiv__class_Omod
% 0.95/1.60 ( X, c_Groups_Oplus__class_Oplus( X, T, c_Divides_Odiv__class_Omod( X, Z
% 0.95/1.60 , Y ) ), Y ) }.
% 0.95/1.60 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.95/1.60 c_Groups_Oplus__class_Oplus( X, Z, Y ), Z ) = c_Divides_Odiv__class_Omod
% 0.95/1.60 ( X, Y, Z ) }.
% 0.95/1.60 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.95/1.60 c_Groups_Oplus__class_Oplus( X, Z, Y ), Y ) = c_Divides_Odiv__class_Omod
% 0.95/1.60 ( X, Z, Y ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.95/1.60 c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ), X ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.60 c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ) = Y }.
% 0.95/1.60 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.60 c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ) =
% 0.95/1.60 c_Divides_Odiv__class_Omod( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.95/1.60 tc_Nat_Onat, Y, X ), X ) }.
% 0.95/1.60 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.60 c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ) =
% 0.95/1.60 c_Divides_Odiv__class_Omod( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.95/1.60 tc_Nat_Onat, Y, X ), X ) }.
% 0.95/1.60 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X, Y, Y
% 0.95/1.60 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.60 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X, Y,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.95/1.60 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.60 }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.60 c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ) = Y }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.95/1.60 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Divides_Odiv__class_Omod
% 0.95/1.60 ( tc_Int_Oint, Y, X ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.95/1.60 ( tc_Int_Oint ), X ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.95/1.60 c_Divides_Odiv__class_Omod( tc_Int_Oint, Y, X ), X ) }.
% 0.95/1.60 { c_Divides_Odiv__class_Omod( tc_Int_Oint, X, X ) =
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.95/1.60 { c_Divides_Odiv__class_Omod( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.95/1.60 tc_Int_Oint ), X ) = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Divides_Odiv__class_Omod( tc_Int_Oint, X, Y ), X ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.60 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Divides_Odiv__class_Omod(
% 0.95/1.60 tc_Int_Oint, X, Y ) ) }.
% 0.95/1.60 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X, Y,
% 0.95/1.60 c_Groups_Oone__class_Oone( X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.60 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.95/1.60 c_Divides_Odiv__class_Omod( X, Z, Y ), Y ) = c_Divides_Odiv__class_Omod(
% 0.95/1.60 X, Z, Y ) }.
% 0.95/1.60 { ! class_Divides_Osemiring__div( X ), ! c_Divides_Odiv__class_Omod( X, T,
% 0.95/1.60 Z ) = c_Divides_Odiv__class_Omod( X, Y, Z ), ! c_Divides_Odiv__class_Omod
% 0.95/1.60 ( X, W, Z ) = c_Divides_Odiv__class_Omod( X, U, Z ),
% 0.95/1.60 c_Divides_Odiv__class_Omod( X, hAPP( hAPP( c_Groups_Otimes__class_Otimes
% 0.95/1.60 ( X ), T ), W ), Z ) = c_Divides_Odiv__class_Omod( X, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( X ), Y ), U ), Z ) }.
% 0.95/1.60 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X, hAPP
% 0.95/1.60 ( hAPP( c_Groups_Otimes__class_Otimes( X ), c_Divides_Odiv__class_Omod( X
% 0.95/1.60 , T, Z ) ), Y ), Z ) = c_Divides_Odiv__class_Omod( X, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( X ), T ), Y ), Z ) }.
% 0.95/1.60 { ! class_Groups_Ocancel__comm__monoid__add( X ),
% 0.95/1.60 class_Groups_Ocancel__comm__monoid__add( tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { class_Groups_Ocancel__comm__monoid__add( tc_Complex_Ocomplex ) }.
% 0.95/1.60 { class_Groups_Ocancel__comm__monoid__add( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Groups_Ocancel__comm__monoid__add( tc_Nat_Onat ) }.
% 0.95/1.60 { class_Groups_Ocancel__comm__monoid__add( tc_Int_Oint ) }.
% 0.95/1.60 { ! class_Orderings_Opreorder( X ), class_Orderings_Opreorder( tc_fun( Y, X
% 0.95/1.60 ) ) }.
% 0.95/1.60 { ! class_Orderings_Oorder( X ), class_Orderings_Oorder( tc_fun( Y, X ) ) }
% 0.95/1.60 .
% 0.95/1.60 { ! class_Orderings_Oord( X ), class_Orderings_Oord( tc_fun( Y, X ) ) }.
% 0.95/1.60 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.95/1.60 tc_Int_Oint ) }.
% 0.95/1.60 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_Int_Oint ) }.
% 0.95/1.60 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Int_Oint ) }.
% 0.95/1.60 { class_Rings_Olinordered__comm__semiring__strict( tc_Int_Oint ) }.
% 0.95/1.60 { class_Rings_Olinordered__semiring__1__strict( tc_Int_Oint ) }.
% 0.95/1.60 { class_Rings_Olinordered__semiring__strict( tc_Int_Oint ) }.
% 0.95/1.60 { class_Groups_Oordered__ab__semigroup__add( tc_Int_Oint ) }.
% 0.95/1.60 { class_Groups_Oordered__comm__monoid__add( tc_Int_Oint ) }.
% 0.95/1.60 { class_Groups_Olinordered__ab__group__add( tc_Int_Oint ) }.
% 0.95/1.60 { class_Groups_Ocancel__ab__semigroup__add( tc_Int_Oint ) }.
% 0.95/1.60 { class_Rings_Oring__1__no__zero__divisors( tc_Int_Oint ) }.
% 0.95/1.60 { class_Rings_Oordered__cancel__semiring( tc_Int_Oint ) }.
% 0.95/1.60 { class_Rings_Olinordered__ring__strict( tc_Int_Oint ) }.
% 0.95/1.60 { class_Rings_Oring__no__zero__divisors( tc_Int_Oint ) }.
% 0.95/1.60 { class_Rings_Oordered__comm__semiring( tc_Int_Oint ) }.
% 0.95/1.60 { class_Rings_Olinordered__semiring__1( tc_Int_Oint ) }.
% 0.95/1.60 { class_Groups_Oordered__ab__group__add( tc_Int_Oint ) }.
% 0.95/1.60 { class_Groups_Ocancel__semigroup__add( tc_Int_Oint ) }.
% 0.95/1.60 { class_Rings_Olinordered__semiring( tc_Int_Oint ) }.
% 0.95/1.60 { class_Rings_Olinordered__semidom( tc_Int_Oint ) }.
% 0.95/1.60 { class_Groups_Oab__semigroup__mult( tc_Int_Oint ) }.
% 0.95/1.60 { class_Groups_Ocomm__monoid__mult( tc_Int_Oint ) }.
% 0.95/1.60 { class_Groups_Oab__semigroup__add( tc_Int_Oint ) }.
% 0.95/1.60 { class_Rings_Oordered__semiring( tc_Int_Oint ) }.
% 0.95/1.60 { class_Rings_Ono__zero__divisors( tc_Int_Oint ) }.
% 0.95/1.60 { class_Groups_Ocomm__monoid__add( tc_Int_Oint ) }.
% 0.95/1.60 { class_Rings_Olinordered__ring( tc_Int_Oint ) }.
% 0.95/1.60 { class_Rings_Olinordered__idom( tc_Int_Oint ) }.
% 0.95/1.60 { class_Rings_Ocomm__semiring__1( tc_Int_Oint ) }.
% 0.95/1.60 { class_Rings_Ocomm__semiring__0( tc_Int_Oint ) }.
% 0.95/1.60 { class_Divides_Osemiring__div( tc_Int_Oint ) }.
% 0.95/1.60 { class_Rings_Ocomm__semiring( tc_Int_Oint ) }.
% 0.95/1.60 { class_Groups_Oab__group__add( tc_Int_Oint ) }.
% 0.95/1.60 { class_Rings_Ozero__neq__one( tc_Int_Oint ) }.
% 0.95/1.60 { class_Rings_Oordered__ring( tc_Int_Oint ) }.
% 0.95/1.60 { class_Orderings_Opreorder( tc_Int_Oint ) }.
% 0.95/1.60 { class_Orderings_Olinorder( tc_Int_Oint ) }.
% 0.95/1.60 { class_Groups_Omonoid__mult( tc_Int_Oint ) }.
% 0.95/1.60 { class_Rings_Ocomm__ring__1( tc_Int_Oint ) }.
% 0.95/1.60 { class_Groups_Omonoid__add( tc_Int_Oint ) }.
% 0.95/1.60 { class_Rings_Osemiring__0( tc_Int_Oint ) }.
% 0.95/1.60 { class_Groups_Ogroup__add( tc_Int_Oint ) }.
% 0.95/1.60 { class_Divides_Oring__div( tc_Int_Oint ) }.
% 0.95/1.60 { class_Rings_Omult__zero( tc_Int_Oint ) }.
% 0.95/1.60 { class_Rings_Ocomm__ring( tc_Int_Oint ) }.
% 0.95/1.60 { class_Orderings_Oorder( tc_Int_Oint ) }.
% 0.95/1.60 { class_Int_Oring__char__0( tc_Int_Oint ) }.
% 0.95/1.60 { class_Rings_Osemiring( tc_Int_Oint ) }.
% 0.95/1.60 { class_Orderings_Oord( tc_Int_Oint ) }.
% 0.95/1.60 { class_Rings_Oring__1( tc_Int_Oint ) }.
% 0.95/1.60 { class_Power_Opower( tc_Int_Oint ) }.
% 0.95/1.60 { class_Groups_Ozero( tc_Int_Oint ) }.
% 0.95/1.60 { class_Rings_Oring( tc_Int_Oint ) }.
% 0.95/1.60 { class_Rings_Oidom( tc_Int_Oint ) }.
% 0.95/1.60 { class_Groups_Oone( tc_Int_Oint ) }.
% 0.95/1.60 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.95/1.60 tc_Nat_Onat ) }.
% 0.95/1.60 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.95/1.60 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Nat_Onat ) }.
% 0.95/1.60 { class_Rings_Olinordered__comm__semiring__strict( tc_Nat_Onat ) }.
% 0.95/1.60 { class_Rings_Olinordered__semiring__strict( tc_Nat_Onat ) }.
% 0.95/1.60 { class_Groups_Oordered__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.95/1.60 { class_Groups_Oordered__comm__monoid__add( tc_Nat_Onat ) }.
% 0.95/1.60 { class_Groups_Ocancel__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.95/1.60 { class_Rings_Oordered__cancel__semiring( tc_Nat_Onat ) }.
% 0.95/1.60 { class_Rings_Oordered__comm__semiring( tc_Nat_Onat ) }.
% 0.95/1.60 { class_Groups_Ocancel__semigroup__add( tc_Nat_Onat ) }.
% 0.95/1.60 { class_Rings_Olinordered__semiring( tc_Nat_Onat ) }.
% 0.95/1.60 { class_Rings_Olinordered__semidom( tc_Nat_Onat ) }.
% 0.95/1.60 { class_Groups_Oab__semigroup__mult( tc_Nat_Onat ) }.
% 0.95/1.60 { class_Groups_Ocomm__monoid__mult( tc_Nat_Onat ) }.
% 0.95/1.60 { class_Groups_Oab__semigroup__add( tc_Nat_Onat ) }.
% 0.95/1.60 { class_Rings_Oordered__semiring( tc_Nat_Onat ) }.
% 0.95/1.60 { class_Rings_Ono__zero__divisors( tc_Nat_Onat ) }.
% 0.95/1.60 { class_Groups_Ocomm__monoid__add( tc_Nat_Onat ) }.
% 0.95/1.60 { class_Rings_Ocomm__semiring__1( tc_Nat_Onat ) }.
% 0.95/1.60 { class_Rings_Ocomm__semiring__0( tc_Nat_Onat ) }.
% 0.95/1.60 { class_Divides_Osemiring__div( tc_Nat_Onat ) }.
% 0.95/1.60 { class_Rings_Ocomm__semiring( tc_Nat_Onat ) }.
% 0.95/1.60 { class_Rings_Ozero__neq__one( tc_Nat_Onat ) }.
% 0.95/1.60 { class_Orderings_Opreorder( tc_Nat_Onat ) }.
% 0.95/1.60 { class_Orderings_Olinorder( tc_Nat_Onat ) }.
% 0.95/1.60 { class_Groups_Omonoid__mult( tc_Nat_Onat ) }.
% 0.95/1.60 { class_Groups_Omonoid__add( tc_Nat_Onat ) }.
% 0.95/1.60 { class_Rings_Osemiring__0( tc_Nat_Onat ) }.
% 0.95/1.60 { class_Rings_Omult__zero( tc_Nat_Onat ) }.
% 0.95/1.60 { class_Orderings_Oorder( tc_Nat_Onat ) }.
% 0.95/1.60 { class_Rings_Osemiring( tc_Nat_Onat ) }.
% 0.95/1.60 { class_Orderings_Oord( tc_Nat_Onat ) }.
% 0.95/1.60 { class_Power_Opower( tc_Nat_Onat ) }.
% 0.95/1.60 { class_Groups_Ozero( tc_Nat_Onat ) }.
% 0.95/1.60 { class_Groups_Oone( tc_Nat_Onat ) }.
% 0.95/1.60 { class_Orderings_Opreorder( tc_HOL_Obool ) }.
% 0.95/1.60 { class_Orderings_Oorder( tc_HOL_Obool ) }.
% 0.95/1.60 { class_Orderings_Oord( tc_HOL_Obool ) }.
% 0.95/1.60 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.95/1.60 tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_RealDef_Oreal ) }
% 0.95/1.60 .
% 0.95/1.60 { class_Rings_Olinordered__comm__semiring__strict( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Fields_Olinordered__field__inverse__zero( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Rings_Olinordered__semiring__1__strict( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_RealVector_Oreal__normed__div__algebra( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Rings_Olinordered__semiring__strict( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Rings_Odivision__ring__inverse__zero( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_RealVector_Oreal__normed__algebra__1( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Groups_Oordered__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_RealVector_Oreal__normed__algebra( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Groups_Oordered__comm__monoid__add( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Groups_Olinordered__ab__group__add( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Groups_Ocancel__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Rings_Oring__1__no__zero__divisors( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Rings_Oordered__cancel__semiring( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_RealVector_Oreal__normed__vector( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Rings_Olinordered__ring__strict( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_RealVector_Oreal__normed__field( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Rings_Oring__no__zero__divisors( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Rings_Oordered__comm__semiring( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Rings_Olinordered__semiring__1( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Groups_Oordered__ab__group__add( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Groups_Ocancel__semigroup__add( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Rings_Olinordered__semiring( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Fields_Ofield__inverse__zero( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Rings_Olinordered__semidom( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Groups_Oab__semigroup__mult( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Groups_Ocomm__monoid__mult( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Groups_Oab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Fields_Olinordered__field( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Rings_Oordered__semiring( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Rings_Ono__zero__divisors( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Groups_Ocomm__monoid__add( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Rings_Olinordered__ring( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Rings_Olinordered__idom( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Rings_Ocomm__semiring__1( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Rings_Ocomm__semiring__0( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_RealVector_Oreal__field( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Rings_Odivision__ring( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Rings_Ocomm__semiring( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Groups_Oab__group__add( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Rings_Ozero__neq__one( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Rings_Oordered__ring( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Orderings_Opreorder( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Orderings_Olinorder( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Groups_Omonoid__mult( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Rings_Ocomm__ring__1( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Groups_Omonoid__add( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Rings_Osemiring__0( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Groups_Ogroup__add( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Rings_Omult__zero( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Rings_Ocomm__ring( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Orderings_Oorder( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Int_Oring__char__0( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Rings_Osemiring( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Orderings_Oord( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Rings_Oring__1( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Fields_Ofield( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Power_Opower( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Groups_Ozero( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Rings_Oring( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Rings_Oidom( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Groups_Oone( tc_RealDef_Oreal ) }.
% 0.95/1.60 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.95/1.60 tc_Complex_Ocomplex ) }.
% 0.95/1.60 { class_RealVector_Oreal__normed__div__algebra( tc_Complex_Ocomplex ) }.
% 0.95/1.60 { class_Rings_Odivision__ring__inverse__zero( tc_Complex_Ocomplex ) }.
% 0.95/1.60 { class_RealVector_Oreal__normed__algebra__1( tc_Complex_Ocomplex ) }.
% 0.95/1.60 { class_RealVector_Oreal__normed__algebra( tc_Complex_Ocomplex ) }.
% 0.95/1.60 { class_Groups_Ocancel__ab__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.95/1.60 { class_Rings_Oring__1__no__zero__divisors( tc_Complex_Ocomplex ) }.
% 0.95/1.60 { class_RealVector_Oreal__normed__vector( tc_Complex_Ocomplex ) }.
% 0.95/1.60 { class_RealVector_Oreal__normed__field( tc_Complex_Ocomplex ) }.
% 0.95/1.60 { class_Rings_Oring__no__zero__divisors( tc_Complex_Ocomplex ) }.
% 0.95/1.60 { class_Groups_Ocancel__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.95/1.60 { class_Fields_Ofield__inverse__zero( tc_Complex_Ocomplex ) }.
% 0.95/1.60 { class_Groups_Oab__semigroup__mult( tc_Complex_Ocomplex ) }.
% 0.95/1.60 { class_Groups_Ocomm__monoid__mult( tc_Complex_Ocomplex ) }.
% 0.95/1.60 { class_Groups_Oab__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.95/1.60 { class_Rings_Ono__zero__divisors( tc_Complex_Ocomplex ) }.
% 0.95/1.60 { class_Groups_Ocomm__monoid__add( tc_Complex_Ocomplex ) }.
% 0.95/1.60 { class_Rings_Ocomm__semiring__1( tc_Complex_Ocomplex ) }.
% 0.95/1.60 { class_Rings_Ocomm__semiring__0( tc_Complex_Ocomplex ) }.
% 0.95/1.60 { class_RealVector_Oreal__field( tc_Complex_Ocomplex ) }.
% 0.95/1.60 { class_Rings_Odivision__ring( tc_Complex_Ocomplex ) }.
% 0.95/1.60 { class_Rings_Ocomm__semiring( tc_Complex_Ocomplex ) }.
% 0.95/1.60 { class_Groups_Oab__group__add( tc_Complex_Ocomplex ) }.
% 0.95/1.60 { class_Rings_Ozero__neq__one( tc_Complex_Ocomplex ) }.
% 0.95/1.60 { class_Groups_Omonoid__mult( tc_Complex_Ocomplex ) }.
% 0.95/1.60 { class_Rings_Ocomm__ring__1( tc_Complex_Ocomplex ) }.
% 0.95/1.60 { class_Groups_Omonoid__add( tc_Complex_Ocomplex ) }.
% 0.95/1.60 { class_Rings_Osemiring__0( tc_Complex_Ocomplex ) }.
% 0.95/1.60 { class_Groups_Ogroup__add( tc_Complex_Ocomplex ) }.
% 0.95/1.60 { class_Rings_Omult__zero( tc_Complex_Ocomplex ) }.
% 0.95/1.60 { class_Rings_Ocomm__ring( tc_Complex_Ocomplex ) }.
% 0.95/1.60 { class_Int_Oring__char__0( tc_Complex_Ocomplex ) }.
% 0.95/1.60 { class_Rings_Osemiring( tc_Complex_Ocomplex ) }.
% 0.95/1.60 { class_Rings_Oring__1( tc_Complex_Ocomplex ) }.
% 0.95/1.60 { class_Fields_Ofield( tc_Complex_Ocomplex ) }.
% 0.95/1.60 { class_Power_Opower( tc_Complex_Ocomplex ) }.
% 0.95/1.60 { class_Groups_Ozero( tc_Complex_Ocomplex ) }.
% 0.95/1.60 { class_Rings_Oring( tc_Complex_Ocomplex ) }.
% 0.95/1.60 { class_Rings_Oidom( tc_Complex_Ocomplex ) }.
% 0.95/1.60 { class_Groups_Oone( tc_Complex_Ocomplex ) }.
% 0.95/1.60 { ! class_Rings_Oidom( X ),
% 0.95/1.60 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.95/1.60 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__idom( X ),
% 0.95/1.60 class_Groups_Oordered__cancel__ab__semigroup__add( tc_Polynomial_Opoly( X
% 0.95/1.60 ) ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__idom( X ),
% 0.95/1.60 class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Polynomial_Opoly(
% 0.95/1.60 X ) ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__idom( X ),
% 0.95/1.60 class_Rings_Olinordered__comm__semiring__strict( tc_Polynomial_Opoly( X )
% 0.95/1.60 ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__idom( X ),
% 0.95/1.60 class_Rings_Olinordered__semiring__1__strict( tc_Polynomial_Opoly( X ) )
% 0.95/1.60 }.
% 0.95/1.60 { ! class_Rings_Olinordered__idom( X ),
% 0.95/1.60 class_Rings_Olinordered__semiring__strict( tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__idom( X ),
% 0.95/1.60 class_Groups_Oordered__ab__semigroup__add( tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__idom( X ),
% 0.95/1.60 class_Groups_Oordered__comm__monoid__add( tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__idom( X ),
% 0.95/1.60 class_Groups_Olinordered__ab__group__add( tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Groups_Ocancel__comm__monoid__add( X ),
% 0.95/1.60 class_Groups_Ocancel__ab__semigroup__add( tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Rings_Oidom( X ), class_Rings_Oring__1__no__zero__divisors(
% 0.95/1.60 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__idom( X ),
% 0.95/1.60 class_Rings_Oordered__cancel__semiring( tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__idom( X ),
% 0.95/1.60 class_Rings_Olinordered__ring__strict( tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Rings_Oidom( X ), class_Rings_Oring__no__zero__divisors(
% 0.95/1.60 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__idom( X ),
% 0.95/1.60 class_Rings_Oordered__comm__semiring( tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__idom( X ),
% 0.95/1.60 class_Rings_Olinordered__semiring__1( tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__idom( X ),
% 0.95/1.60 class_Groups_Oordered__ab__group__add( tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Groups_Ocancel__comm__monoid__add( X ),
% 0.95/1.60 class_Groups_Ocancel__semigroup__add( tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__idom( X ), class_Rings_Olinordered__semiring(
% 0.95/1.60 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__idom( X ), class_Rings_Olinordered__semidom(
% 0.95/1.60 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Rings_Ocomm__semiring__0( X ), class_Groups_Oab__semigroup__mult
% 0.95/1.60 ( tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Rings_Ocomm__semiring__1( X ), class_Groups_Ocomm__monoid__mult(
% 0.95/1.60 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Groups_Ocomm__monoid__add( X ), class_Groups_Oab__semigroup__add
% 0.95/1.60 ( tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__idom( X ), class_Rings_Oordered__semiring(
% 0.95/1.60 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Rings_Oidom( X ), class_Rings_Ono__zero__divisors(
% 0.95/1.60 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Groups_Ocomm__monoid__add( X ), class_Groups_Ocomm__monoid__add(
% 0.95/1.60 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__idom( X ), class_Rings_Olinordered__ring(
% 0.95/1.60 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__idom( X ), class_Rings_Olinordered__idom(
% 0.95/1.60 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Rings_Ocomm__semiring__1( X ), class_Rings_Ocomm__semiring__1(
% 0.95/1.60 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Rings_Ocomm__semiring__0( X ), class_Rings_Ocomm__semiring__0(
% 0.95/1.60 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Fields_Ofield( X ), class_Divides_Osemiring__div(
% 0.95/1.60 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Rings_Ocomm__semiring__0( X ), class_Rings_Ocomm__semiring(
% 0.95/1.60 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Groups_Oab__group__add( X ), class_Groups_Oab__group__add(
% 0.95/1.60 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Rings_Ocomm__semiring__1( X ), class_Rings_Ozero__neq__one(
% 0.95/1.60 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__idom( X ), class_Rings_Oordered__ring(
% 0.95/1.60 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__idom( X ), class_Orderings_Opreorder(
% 0.95/1.60 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__idom( X ), class_Orderings_Olinorder(
% 0.95/1.60 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Rings_Ocomm__semiring__1( X ), class_Groups_Omonoid__mult(
% 0.95/1.60 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Rings_Ocomm__ring__1( X ), class_Rings_Ocomm__ring__1(
% 0.95/1.60 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Groups_Ocomm__monoid__add( X ), class_Groups_Omonoid__add(
% 0.95/1.60 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Rings_Ocomm__semiring__0( X ), class_Rings_Osemiring__0(
% 0.95/1.60 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Groups_Oab__group__add( X ), class_Groups_Ogroup__add(
% 0.95/1.60 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Fields_Ofield( X ), class_Divides_Oring__div( tc_Polynomial_Opoly
% 0.95/1.60 ( X ) ) }.
% 0.95/1.60 { ! class_Rings_Ocomm__semiring__0( X ), class_Rings_Omult__zero(
% 0.95/1.60 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Rings_Ocomm__ring( X ), class_Rings_Ocomm__ring(
% 0.95/1.60 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__idom( X ), class_Orderings_Oorder(
% 0.95/1.60 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__idom( X ), class_Int_Oring__char__0(
% 0.95/1.60 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Rings_Ocomm__semiring__0( X ), class_Rings_Osemiring(
% 0.95/1.60 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Rings_Olinordered__idom( X ), class_Orderings_Oord(
% 0.95/1.60 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Rings_Ocomm__ring__1( X ), class_Rings_Oring__1(
% 0.95/1.60 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Rings_Ocomm__semiring__1( X ), class_Power_Opower(
% 0.95/1.60 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! class_Groups_Ozero( X ), class_Groups_Ozero( tc_Polynomial_Opoly( X ) )
% 0.95/1.60 }.
% 0.95/1.60 { ! class_Rings_Ocomm__ring( X ), class_Rings_Oring( tc_Polynomial_Opoly( X
% 0.95/1.60 ) ) }.
% 0.95/1.60 { ! class_Rings_Oidom( X ), class_Rings_Oidom( tc_Polynomial_Opoly( X ) ) }
% 0.95/1.60 .
% 0.95/1.60 { ! class_Rings_Ocomm__semiring__1( X ), class_Groups_Oone(
% 0.95/1.60 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.60 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( hAPP(
% 0.95/1.60 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal ),
% 0.95/1.60 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.95/1.60 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, v_w____, v_z ) ) ),
% 0.95/1.60 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.95/1.60 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_cs____ ),
% 0.95/1.60 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, v_w____, v_z ) ) ) )
% 0.95/1.60 , v_e ) }.
% 0.95/1.60
% 0.95/1.60 *** allocated 15000 integers for clauses
% 0.95/1.60 *** allocated 22500 integers for clauses
% 0.95/1.60 *** allocated 33750 integers for clauses
% 0.95/1.60 *** allocated 50625 integers for clauses
% 0.95/1.60 *** allocated 75937 integers for clauses
% 0.95/1.60 *** allocated 113905 integers for clauses
% 0.95/1.60 percentage equality = 0.228340, percentage horn = 0.900297
% 0.95/1.60 This is a problem with some equality
% 0.95/1.60
% 0.95/1.60
% 0.95/1.60
% 0.95/1.60 Options Used:
% 0.95/1.60
% 0.95/1.60 useres = 1
% 0.95/1.60 useparamod = 1
% 0.95/1.60 useeqrefl = 1
% 0.95/1.60 useeqfact = 1
% 0.95/1.60 usefactor = 1
% 0.95/1.60 usesimpsplitting = 0
% 0.95/1.60 usesimpdemod = 5
% 0.95/1.60 usesimpres = 3
% 0.95/1.60
% 0.95/1.60 resimpinuse = 1000
% 0.95/1.60 resimpclauses = 20000
% 0.95/1.60 substype = eqrewr
% 0.95/1.60 backwardsubs = 1
% 0.95/1.60 selectoldest = 5
% 0.95/1.60
% 0.95/1.60 litorderings [0] = split
% 0.95/1.60 litorderings [1] = extend the termordering, first sorting on arguments
% 0.95/1.60
% 0.95/1.60 termordering = kbo
% 0.95/1.60
% 0.95/1.60 litapriori = 0
% 0.95/1.60 termapriori = 1
% 0.95/1.60 litaposteriori = 0
% 0.95/1.60 termaposteriori = 0
% 0.95/1.60 demodaposteriori = 0
% 0.95/1.60 ordereqreflfact = 0
% 0.95/1.60
% 0.95/1.60 litselect = negord
% 0.95/1.60
% 0.95/1.60 maxweight = 15
% 0.95/1.60 maxdepth = 30000
% 0.95/1.60 maxlength = 115
% 0.95/1.60 maxnrvars = 195
% 0.95/1.60 excuselevel = 1
% 0.95/1.60 increasemaxweight = 1
% 0.95/1.60
% 0.95/1.60 maxselected = 10000000
% 0.95/1.60 maxnrclauses = 10000000
% 0.95/1.60
% 0.95/1.60 showgenerated = 0
% 0.95/1.60 showkept = 0
% 0.95/1.60 showselected = 0
% 0.95/1.60 showdeleted = 0
% 0.95/1.60 showresimp = 1
% 0.95/1.60 showstatus = 2000
% 0.95/1.60
% 0.95/1.60 prologoutput = 0
% 0.95/1.60 nrgoals = 5000000
% 0.95/1.60 totalproof = 1
% 0.95/1.60
% 0.95/1.60 Symbols occurring in the translation:
% 0.95/1.60
% 0.95/1.60 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.95/1.60 . [1, 2] (w:1, o:214, a:1, s:1, b:0),
% 0.95/1.60 ! [4, 1] (w:0, o:125, a:1, s:1, b:0),
% 0.95/1.60 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.95/1.60 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.95/1.60 hAPP [38, 2] (w:1, o:238, a:1, s:1, b:0),
% 0.95/1.60 v_w____ [39, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.95/1.60 v_z [40, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.95/1.60 tc_RealDef_Oreal [41, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.95/1.60 c_Groups_Ozero__class_Ozero [42, 1] (w:1, o:130, a:1, s:1, b:0),
% 0.95/1.60 v_e [43, 0] (w:1, o:26, a:1, s:1, b:0),
% 0.95/1.60 c_Orderings_Oord__class_Oless [44, 3] (w:1, o:287, a:1, s:1, b:0),
% 0.95/1.60 tc_Complex_Ocomplex [45, 0] (w:1, o:27, a:1, s:1, b:0),
% 0.95/1.60 c_Groups_Ominus__class_Ominus [46, 3] (w:1, o:288, a:1, s:1, b:0),
% 0.95/1.60 c_RealVector_Onorm__class_Onorm [47, 2] (w:1, o:239, a:1, s:1, b:0),
% 0.95/1.60
% 0.95/1.60 v_da____ [48, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.95/1.60 c_Groups_Otimes__class_Otimes [49, 1] (w:1, o:131, a:1, s:1, b:0),
% 0.95/1.60 v_m____ [50, 0] (w:1, o:28, a:1, s:1, b:0),
% 0.95/1.60 v_cs____ [53, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.95/1.60 c_Polynomial_Opoly [54, 2] (w:1, o:240, a:1, s:1, b:0),
% 0.95/1.60 class_RealVector_Oreal__normed__algebra [60, 1] (w:1, o:132, a:1, s:1
% 0.95/1.60 , b:0),
% 0.95/1.60 c_Orderings_Oord__class_Oless__eq [61, 3] (w:1, o:289, a:1, s:1, b:0)
% 0.95/1.60 ,
% 0.95/1.60 class_RealVector_Oreal__normed__div__algebra [62, 1] (w:1, o:133, a:1
% 0.95/1.60 , s:1, b:0),
% 0.95/1.60 v_q____ [64, 0] (w:1, o:63, a:1, s:1, b:0),
% 0.95/1.60 v_p [65, 0] (w:1, o:62, a:1, s:1, b:0),
% 0.95/1.60 class_Rings_Ocomm__ring [68, 1] (w:1, o:134, a:1, s:1, b:0),
% 0.95/1.60 tc_Polynomial_Opoly [69, 1] (w:1, o:140, a:1, s:1, b:0),
% 0.95/1.60 class_Rings_Ocomm__semiring__0 [70, 1] (w:1, o:142, a:1, s:1, b:0),
% 0.95/1.60 class_RealVector_Oreal__normed__vector [73, 1] (w:1, o:143, a:1, s:1
% 0.95/1.60 , b:0),
% 0.95/1.60 v_d____ [78, 0] (w:1, o:25, a:1, s:1, b:0),
% 0.95/1.60 c_Groups_Oone__class_Oone [79, 1] (w:1, o:144, a:1, s:1, b:0),
% 0.95/1.60 c_Rings_Oinverse__class_Odivide [80, 3] (w:1, o:290, a:1, s:1, b:0),
% 0.95/1.60
% 0.95/1.60 c_Polynomial_Odegree [81, 2] (w:1, o:241, a:1, s:1, b:0),
% 0.95/1.60 class_Int_Oring__char__0 [85, 1] (w:1, o:145, a:1, s:1, b:0),
% 0.95/1.60 class_Rings_Oidom [86, 1] (w:1, o:146, a:1, s:1, b:0),
% 0.95/1.60 c_Groups_Oplus__class_Oplus [88, 3] (w:1, o:291, a:1, s:1, b:0),
% 0.95/1.60 class_Rings_Olinordered__semiring__strict [92, 1] (w:1, o:149, a:1
% 0.95/1.60 , s:1, b:0),
% 0.95/1.60 class_Groups_Ozero [93, 1] (w:1, o:154, a:1, s:1, b:0),
% 0.95/1.60 tc_Nat_Onat [94, 0] (w:1, o:78, a:1, s:1, b:0),
% 0.95/1.60 class_Rings_Odivision__ring__inverse__zero [95, 1] (w:1, o:157, a:1
% 0.95/1.60 , s:1, b:0),
% 0.95/1.60 class_RealVector_Oreal__normed__field [96, 1] (w:1, o:158, a:1, s:1
% 0.95/1.60 , b:0),
% 0.95/1.60 class_Rings_Odivision__ring [97, 1] (w:1, o:159, a:1, s:1, b:0),
% 0.95/1.60 class_Rings_Olinordered__semidom [100, 1] (w:1, o:160, a:1, s:1, b:0)
% 0.95/1.60 ,
% 0.95/1.60 class_Fields_Ofield__inverse__zero [101, 1] (w:1, o:150, a:1, s:1, b:
% 0.95/1.60 0),
% 0.95/1.60 class_RealVector_Oreal__normed__algebra__1 [102, 1] (w:1, o:161, a:1
% 0.95/1.60 , s:1, b:0),
% 0.95/1.60 class_Rings_Ocomm__semiring [103, 1] (w:1, o:155, a:1, s:1, b:0),
% 0.95/1.60 class_Rings_Osemiring [105, 1] (w:1, o:166, a:1, s:1, b:0),
% 0.95/1.60 class_Rings_Ozero__neq__one [106, 1] (w:1, o:167, a:1, s:1, b:0),
% 0.95/1.60 class_Rings_Ocomm__semiring__1 [107, 1] (w:1, o:156, a:1, s:1, b:0),
% 0.95/1.60
% 0.95/1.60 class_Groups_Oab__group__add [109, 1] (w:1, o:168, a:1, s:1, b:0),
% 0.95/1.60 class_Rings_Oring__1 [110, 1] (w:1, o:162, a:1, s:1, b:0),
% 0.95/1.60 class_Rings_Olinordered__semiring__1 [113, 1] (w:1, o:169, a:1, s:1
% 0.95/1.60 , b:0),
% 0.95/1.60 class_Rings_Oring [115, 1] (w:1, o:163, a:1, s:1, b:0),
% 0.95/1.60 class_Rings_Olinordered__semiring__1__strict [120, 1] (w:1, o:170, a:
% 0.95/1.60 1, s:1, b:0),
% 0.95/1.60 class_Rings_Oordered__ring [121, 1] (w:1, o:172, a:1, s:1, b:0),
% 0.95/1.60 class_Rings_Olinordered__idom [122, 1] (w:1, o:173, a:1, s:1, b:0),
% 0.95/1.60 class_Rings_Omult__zero [130, 1] (w:1, o:176, a:1, s:1, b:0),
% 0.95/1.60 class_Rings_Oring__no__zero__divisors [131, 1] (w:1, o:164, a:1, s:1
% 0.95/1.60 , b:0),
% 0.95/1.60 class_Rings_Ono__zero__divisors [132, 1] (w:1, o:171, a:1, s:1, b:0)
% 0.95/1.60 ,
% 0.95/1.60 class_Rings_Oordered__cancel__semiring [133, 1] (w:1, o:177, a:1, s:1
% 0.95/1.60 , b:0),
% 0.95/1.60 class_Rings_Oordered__semiring [134, 1] (w:1, o:178, a:1, s:1, b:0),
% 0.95/1.60
% 0.95/1.60 class_Rings_Oordered__comm__semiring [135, 1] (w:1, o:179, a:1, s:1
% 0.95/1.61 , b:0),
% 0.95/1.61 class_Rings_Olinordered__ring__strict [136, 1] (w:1, o:147, a:1, s:1
% 0.95/1.61 , b:0),
% 0.95/1.61 class_Rings_Olinordered__ring [137, 1] (w:1, o:148, a:1, s:1, b:0),
% 0.95/1.61 class_Rings_Olinordered__comm__semiring__strict [138, 1] (w:1, o:174
% 0.95/1.61 , a:1, s:1, b:0),
% 0.95/1.61 class_Rings_Olinordered__semiring [139, 1] (w:1, o:175, a:1, s:1, b:0
% 0.95/1.61 ),
% 0.95/1.61 class_Fields_Olinordered__field__inverse__zero [143, 1] (w:1, o:151
% 0.95/1.61 , a:1, s:1, b:0),
% 0.95/1.61 class_Fields_Olinordered__field [144, 1] (w:1, o:152, a:1, s:1, b:0)
% 0.95/1.61 ,
% 0.95/1.61 class_Groups_Ocomm__monoid__add [148, 1] (w:1, o:180, a:1, s:1, b:0)
% 0.95/1.61 ,
% 0.95/1.61 class_Fields_Ofield [150, 1] (w:1, o:153, a:1, s:1, b:0),
% 0.95/1.61 class_RealVector_Oreal__field [152, 1] (w:1, o:181, a:1, s:1, b:0),
% 0.95/1.61 hBOOL [158, 1] (w:1, o:182, a:1, s:1, b:0),
% 0.95/1.61 class_Groups_Oordered__comm__monoid__add [162, 1] (w:1, o:183, a:1
% 0.95/1.61 , s:1, b:0),
% 0.95/1.61 class_Groups_Oab__semigroup__mult [164, 1] (w:1, o:184, a:1, s:1, b:0
% 0.95/1.61 ),
% 0.95/1.61 class_Groups_Oab__semigroup__add [165, 1] (w:1, o:185, a:1, s:1, b:0)
% 0.95/1.61 ,
% 0.95/1.61 class_Groups_Ocancel__semigroup__add [166, 1] (w:1, o:186, a:1, s:1
% 0.95/1.61 , b:0),
% 0.95/1.61 class_Groups_Ocancel__ab__semigroup__add [167, 1] (w:1, o:187, a:1
% 0.95/1.61 , s:1, b:0),
% 0.95/1.61 class_Groups_Oone [168, 1] (w:1, o:188, a:1, s:1, b:0),
% 0.95/1.61 class_Groups_Omonoid__add [169, 1] (w:1, o:190, a:1, s:1, b:0),
% 0.95/1.61 class_Groups_Olinordered__ab__group__add [170, 1] (w:1, o:189, a:1
% 0.95/1.61 , s:1, b:0),
% 0.95/1.61 class_Groups_Oordered__ab__semigroup__add__imp__le [171, 1] (w:1, o:
% 0.95/1.61 191, a:1, s:1, b:0),
% 0.95/1.61 class_Groups_Oordered__ab__semigroup__add [172, 1] (w:1, o:192, a:1
% 0.95/1.61 , s:1, b:0),
% 0.95/1.61 class_Groups_Oordered__cancel__ab__semigroup__add [173, 1] (w:1, o:
% 0.95/1.61 193, a:1, s:1, b:0),
% 0.95/1.61 class_Groups_Ogroup__add [174, 1] (w:1, o:194, a:1, s:1, b:0),
% 0.95/1.61 class_Groups_Oordered__ab__group__add [175, 1] (w:1, o:195, a:1, s:1
% 0.95/1.61 , b:0),
% 0.95/1.61 class_Groups_Ocomm__monoid__mult [176, 1] (w:1, o:196, a:1, s:1, b:0)
% 0.95/1.61 ,
% 0.95/1.61 class_Groups_Omonoid__mult [177, 1] (w:1, o:197, a:1, s:1, b:0),
% 0.95/1.61 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct [
% 0.95/1.61 178, 1] (w:1, o:199, a:1, s:1, b:0),
% 0.95/1.61 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize [183, 2] (w:1, o:
% 0.95/1.61 242, a:1, s:1, b:0),
% 0.95/1.61 c_Polynomial_Oorder [184, 3] (w:1, o:292, a:1, s:1, b:0),
% 0.95/1.61 class_Orderings_Opreorder [186, 1] (w:1, o:202, a:1, s:1, b:0),
% 0.95/1.61 class_Orderings_Olinorder [188, 1] (w:1, o:203, a:1, s:1, b:0),
% 0.95/1.61 class_Orderings_Oord [190, 1] (w:1, o:200, a:1, s:1, b:0),
% 0.95/1.61 tc_fun [191, 2] (w:1, o:268, a:1, s:1, b:0),
% 0.95/1.61 class_Orderings_Oorder [192, 1] (w:1, o:201, a:1, s:1, b:0),
% 0.95/1.61 c_Complex_Oii [195, 0] (w:1, o:113, a:1, s:1, b:0),
% 0.95/1.61 c_Polynomial_Opcompose [196, 3] (w:1, o:293, a:1, s:1, b:0),
% 0.95/1.61 c_Polynomial_Opdivmod__rel [198, 5] (w:1, o:382, a:1, s:1, b:0),
% 0.95/1.61 c_Polynomial_Osynthetic__div [206, 3] (w:1, o:294, a:1, s:1, b:0),
% 0.95/1.61 c_Complex_Oexpi [207, 1] (w:1, o:204, a:1, s:1, b:0),
% 0.95/1.61 c_RComplete_Onatceiling [208, 1] (w:1, o:205, a:1, s:1, b:0),
% 0.95/1.61 c_RComplete_Onatfloor [211, 1] (w:1, o:206, a:1, s:1, b:0),
% 0.95/1.61 c_RealDef_Oreal [212, 2] (w:1, o:269, a:1, s:1, b:0),
% 0.95/1.61 c_SEQ_Odecseq [213, 2] (w:1, o:270, a:1, s:1, b:0),
% 0.95/1.61 c_Divides_Odiv__class_Odiv [214, 3] (w:1, o:295, a:1, s:1, b:0),
% 0.95/1.61 c_Power_Opower__class_Opower [215, 1] (w:1, o:207, a:1, s:1, b:0),
% 0.95/1.61 class_Power_Opower [216, 1] (w:1, o:208, a:1, s:1, b:0),
% 0.95/1.61 tc_Int_Oint [218, 0] (w:1, o:118, a:1, s:1, b:0),
% 0.95/1.61 class_Rings_Oring__1__no__zero__divisors [219, 1] (w:1, o:165, a:1
% 0.95/1.61 , s:1, b:0),
% 0.95/1.61 class_Divides_Osemiring__div [220, 1] (w:1, o:210, a:1, s:1, b:0),
% 0.95/1.61 class_Rings_Osemiring__0 [221, 1] (w:1, o:198, a:1, s:1, b:0),
% 0.95/1.61 c_Power_Opower_Opower [223, 3] (w:1, o:296, a:1, s:1, b:0),
% 0.95/1.61 c_Complex_Orcis [229, 2] (w:1, o:271, a:1, s:1, b:0),
% 0.95/1.61 c_Nat_OSuc [233, 1] (w:1, o:211, a:1, s:1, b:0),
% 0.95/1.61 c_Nat__Transfer_Otsub [234, 2] (w:1, o:272, a:1, s:1, b:0),
% 0.95/1.61 class_Rings_Ocomm__ring__1 [239, 1] (w:1, o:141, a:1, s:1, b:0),
% 0.95/1.61 c_Transcendental_Oln [242, 1] (w:1, o:212, a:1, s:1, b:0),
% 0.95/1.61 c_Divides_Odiv__class_Omod [243, 3] (w:1, o:297, a:1, s:1, b:0),
% 0.95/1.61 class_Divides_Oring__div [244, 1] (w:1, o:209, a:1, s:1, b:0),
% 0.95/1.61 class_Groups_Ocancel__comm__monoid__add [246, 1] (w:1, o:213, a:1, s:
% 0.95/1.61 1, b:0),
% 0.95/1.61 tc_HOL_Obool [248, 0] (w:1, o:117, a:1, s:1, b:0),
% 0.95/1.61 alpha1 [249, 2] (w:1, o:273, a:1, s:1, b:1),
% 0.95/1.61 alpha2 [250, 3] (w:1, o:307, a:1, s:1, b:1),
% 0.95/1.61 alpha3 [251, 3] (w:1, o:310, a:1, s:1, b:1),
% 0.95/1.61 alpha4 [252, 4] (w:1, o:357, a:1, s:1, b:1),
% 0.95/1.61 alpha5 [253, 4] (w:1, o:360, a:1, s:1, b:1),
% 0.95/1.61 alpha6 [254, 3] (w:1, o:315, a:1, s:1, b:1),
% 0.95/1.61 alpha7 [255, 3] (w:1, o:318, a:1, s:1, b:1),
% 0.95/1.61 alpha8 [256, 3] (w:1, o:323, a:1, s:1, b:1),
% 0.95/1.61 alpha9 [257, 3] (w:1, o:325, a:1, s:1, b:1),
% 0.95/1.61 alpha10 [258, 3] (w:1, o:298, a:1, s:1, b:1),
% 0.95/1.61 alpha11 [259, 3] (w:1, o:299, a:1, s:1, b:1),
% 0.95/1.61 alpha12 [260, 3] (w:1, o:300, a:1, s:1, b:1),
% 0.95/1.61 alpha13 [261, 3] (w:1, o:301, a:1, s:1, b:1),
% 0.95/1.61 alpha14 [262, 3] (w:1, o:302, a:1, s:1, b:1),
% 0.95/1.61 alpha15 [263, 3] (w:1, o:303, a:1, s:1, b:1),
% 0.95/1.61 alpha16 [264, 3] (w:1, o:304, a:1, s:1, b:1),
% 0.95/1.61 alpha17 [265, 3] (w:1, o:305, a:1, s:1, b:1),
% 0.95/1.61 alpha18 [266, 3] (w:1, o:306, a:1, s:1, b:1),
% 0.95/1.61 alpha19 [267, 2] (w:1, o:274, a:1, s:1, b:1),
% 0.95/1.61 alpha20 [268, 2] (w:1, o:275, a:1, s:1, b:1),
% 0.95/1.61 alpha21 [269, 2] (w:1, o:276, a:1, s:1, b:1),
% 0.95/1.61 alpha22 [270, 2] (w:1, o:277, a:1, s:1, b:1),
% 0.95/1.61 alpha23 [271, 2] (w:1, o:278, a:1, s:1, b:1),
% 0.95/1.61 alpha24 [272, 2] (w:1, o:279, a:1, s:1, b:1),
% 0.95/1.61 alpha25 [273, 2] (w:1, o:280, a:1, s:1, b:1),
% 0.95/1.61 alpha26 [274, 4] (w:1, o:361, a:1, s:1, b:1),
% 0.95/1.61 alpha27 [275, 2] (w:1, o:281, a:1, s:1, b:1),
% 0.95/1.61 alpha28 [276, 3] (w:1, o:308, a:1, s:1, b:1),
% 0.95/1.61 alpha29 [277, 3] (w:1, o:309, a:1, s:1, b:1),
% 0.95/1.61 alpha30 [278, 4] (w:1, o:351, a:1, s:1, b:1),
% 0.95/1.61 alpha31 [279, 4] (w:1, o:352, a:1, s:1, b:1),
% 0.95/1.61 alpha32 [280, 4] (w:1, o:353, a:1, s:1, b:1),
% 0.95/1.61 alpha33 [281, 4] (w:1, o:354, a:1, s:1, b:1),
% 0.95/1.61 alpha34 [282, 3] (w:1, o:326, a:1, s:1, b:1),
% 0.95/1.61 alpha35 [283, 3] (w:1, o:327, a:1, s:1, b:1),
% 0.95/1.61 alpha36 [284, 3] (w:1, o:328, a:1, s:1, b:1),
% 0.95/1.61 alpha37 [285, 3] (w:1, o:329, a:1, s:1, b:1),
% 0.95/1.61 alpha38 [286, 4] (w:1, o:355, a:1, s:1, b:1),
% 0.95/1.61 alpha39 [287, 4] (w:1, o:356, a:1, s:1, b:1),
% 0.95/1.61 alpha40 [288, 4] (w:1, o:358, a:1, s:1, b:1),
% 0.95/1.61 alpha41 [289, 4] (w:1, o:359, a:1, s:1, b:1),
% 0.95/1.61 alpha42 [290, 3] (w:1, o:330, a:1, s:1, b:1),
% 0.95/1.61 alpha43 [291, 3] (w:1, o:331, a:1, s:1, b:1),
% 0.95/1.61 alpha44 [292, 3] (w:1, o:332, a:1, s:1, b:1),
% 0.95/1.61 alpha45 [293, 3] (w:1, o:333, a:1, s:1, b:1),
% 0.95/1.61 alpha46 [294, 3] (w:1, o:334, a:1, s:1, b:1),
% 0.95/1.61 alpha47 [295, 2] (w:1, o:282, a:1, s:1, b:1),
% 0.95/1.61 alpha48 [296, 2] (w:1, o:283, a:1, s:1, b:1),
% 0.95/1.61 alpha49 [297, 2] (w:1, o:284, a:1, s:1, b:1),
% 0.95/1.61 alpha50 [298, 3] (w:1, o:311, a:1, s:1, b:1),
% 0.95/1.61 alpha51 [299, 4] (w:1, o:362, a:1, s:1, b:1),
% 0.95/1.61 alpha52 [300, 4] (w:1, o:363, a:1, s:1, b:1),
% 10.64/11.03 alpha53 [301, 4] (w:1, o:364, a:1, s:1, b:1),
% 10.64/11.03 alpha54 [302, 4] (w:1, o:365, a:1, s:1, b:1),
% 10.64/11.03 alpha55 [303, 4] (w:1, o:366, a:1, s:1, b:1),
% 10.64/11.03 alpha56 [304, 4] (w:1, o:367, a:1, s:1, b:1),
% 10.64/11.03 alpha57 [305, 3] (w:1, o:312, a:1, s:1, b:1),
% 10.64/11.03 alpha58 [306, 3] (w:1, o:313, a:1, s:1, b:1),
% 10.64/11.03 alpha59 [307, 3] (w:1, o:314, a:1, s:1, b:1),
% 10.64/11.03 alpha60 [308, 2] (w:1, o:285, a:1, s:1, b:1),
% 10.64/11.03 alpha61 [309, 4] (w:1, o:368, a:1, s:1, b:1),
% 10.64/11.03 alpha62 [310, 4] (w:1, o:369, a:1, s:1, b:1),
% 10.64/11.03 alpha63 [311, 4] (w:1, o:370, a:1, s:1, b:1),
% 10.64/11.03 alpha64 [312, 4] (w:1, o:371, a:1, s:1, b:1),
% 10.64/11.03 alpha65 [313, 4] (w:1, o:372, a:1, s:1, b:1),
% 10.64/11.03 alpha66 [314, 4] (w:1, o:373, a:1, s:1, b:1),
% 10.64/11.03 alpha67 [315, 3] (w:1, o:316, a:1, s:1, b:1),
% 10.64/11.03 alpha68 [316, 3] (w:1, o:317, a:1, s:1, b:1),
% 10.64/11.03 alpha69 [317, 4] (w:1, o:374, a:1, s:1, b:1),
% 10.64/11.03 alpha70 [318, 4] (w:1, o:375, a:1, s:1, b:1),
% 10.64/11.03 alpha71 [319, 4] (w:1, o:376, a:1, s:1, b:1),
% 10.64/11.03 alpha72 [320, 4] (w:1, o:377, a:1, s:1, b:1),
% 10.64/11.03 alpha73 [321, 3] (w:1, o:319, a:1, s:1, b:1),
% 10.64/11.03 alpha74 [322, 3] (w:1, o:320, a:1, s:1, b:1),
% 10.64/11.03 alpha75 [323, 3] (w:1, o:321, a:1, s:1, b:1),
% 10.64/11.03 alpha76 [324, 4] (w:1, o:378, a:1, s:1, b:1),
% 10.64/11.03 alpha77 [325, 4] (w:1, o:379, a:1, s:1, b:1),
% 10.64/11.03 alpha78 [326, 3] (w:1, o:322, a:1, s:1, b:1),
% 10.64/11.03 alpha79 [327, 2] (w:1, o:286, a:1, s:1, b:1),
% 10.64/11.03 alpha80 [328, 3] (w:1, o:324, a:1, s:1, b:1),
% 10.64/11.03 skol1 [329, 2] (w:1, o:243, a:1, s:1, b:1),
% 10.64/11.03 skol2 [330, 0] (w:1, o:18, a:1, s:1, b:1),
% 10.64/11.03 skol3 [331, 0] (w:1, o:19, a:1, s:1, b:1),
% 10.64/11.03 skol4 [332, 0] (w:1, o:20, a:1, s:1, b:1),
% 10.64/11.03 skol5 [333, 0] (w:1, o:21, a:1, s:1, b:1),
% 10.64/11.03 skol6 [334, 2] (w:1, o:246, a:1, s:1, b:1),
% 10.64/11.03 skol7 [335, 2] (w:1, o:247, a:1, s:1, b:1),
% 10.64/11.03 skol8 [336, 3] (w:1, o:335, a:1, s:1, b:1),
% 10.64/11.03 skol9 [337, 3] (w:1, o:336, a:1, s:1, b:1),
% 10.64/11.03 skol10 [338, 0] (w:1, o:16, a:1, s:1, b:1),
% 10.64/11.03 skol11 [339, 0] (w:1, o:17, a:1, s:1, b:1),
% 10.64/11.03 skol12 [340, 2] (w:1, o:248, a:1, s:1, b:1),
% 10.64/11.03 skol13 [341, 2] (w:1, o:249, a:1, s:1, b:1),
% 10.64/11.03 skol14 [342, 3] (w:1, o:337, a:1, s:1, b:1),
% 10.64/11.03 skol15 [343, 1] (w:1, o:135, a:1, s:1, b:1),
% 10.64/11.03 skol16 [344, 2] (w:1, o:250, a:1, s:1, b:1),
% 10.64/11.03 skol17 [345, 2] (w:1, o:251, a:1, s:1, b:1),
% 10.64/11.03 skol18 [346, 2] (w:1, o:252, a:1, s:1, b:1),
% 10.64/11.03 skol19 [347, 2] (w:1, o:253, a:1, s:1, b:1),
% 10.64/11.03 skol20 [348, 2] (w:1, o:254, a:1, s:1, b:1),
% 10.64/11.03 skol21 [349, 2] (w:1, o:255, a:1, s:1, b:1),
% 10.64/11.03 skol22 [350, 1] (w:1, o:136, a:1, s:1, b:1),
% 10.64/11.03 skol23 [351, 3] (w:1, o:338, a:1, s:1, b:1),
% 10.64/11.03 skol24 [352, 4] (w:1, o:380, a:1, s:1, b:1),
% 10.64/11.03 skol25 [353, 2] (w:1, o:256, a:1, s:1, b:1),
% 10.64/11.03 skol26 [354, 1] (w:1, o:137, a:1, s:1, b:1),
% 10.64/11.03 skol27 [355, 3] (w:1, o:339, a:1, s:1, b:1),
% 10.64/11.03 skol28 [356, 4] (w:1, o:381, a:1, s:1, b:1),
% 10.64/11.03 skol29 [357, 2] (w:1, o:257, a:1, s:1, b:1),
% 10.64/11.03 skol30 [358, 3] (w:1, o:340, a:1, s:1, b:1),
% 10.64/11.03 skol31 [359, 3] (w:1, o:341, a:1, s:1, b:1),
% 10.64/11.03 skol32 [360, 3] (w:1, o:342, a:1, s:1, b:1),
% 10.64/11.03 skol33 [361, 3] (w:1, o:343, a:1, s:1, b:1),
% 10.64/11.03 skol34 [362, 2] (w:1, o:258, a:1, s:1, b:1),
% 10.64/11.03 skol35 [363, 2] (w:1, o:259, a:1, s:1, b:1),
% 10.64/11.03 skol36 [364, 1] (w:1, o:138, a:1, s:1, b:1),
% 10.64/11.03 skol37 [365, 2] (w:1, o:260, a:1, s:1, b:1),
% 10.64/11.03 skol38 [366, 3] (w:1, o:344, a:1, s:1, b:1),
% 10.64/11.03 skol39 [367, 3] (w:1, o:345, a:1, s:1, b:1),
% 10.64/11.03 skol40 [368, 3] (w:1, o:346, a:1, s:1, b:1),
% 10.64/11.03 skol41 [369, 2] (w:1, o:261, a:1, s:1, b:1),
% 10.64/11.03 skol42 [370, 1] (w:1, o:139, a:1, s:1, b:1),
% 10.64/11.03 skol43 [371, 2] (w:1, o:262, a:1, s:1, b:1),
% 10.64/11.03 skol44 [372, 3] (w:1, o:347, a:1, s:1, b:1),
% 10.64/11.03 skol45 [373, 2] (w:1, o:263, a:1, s:1, b:1),
% 10.64/11.03 skol46 [374, 2] (w:1, o:264, a:1, s:1, b:1),
% 10.64/11.03 skol47 [375, 2] (w:1, o:265, a:1, s:1, b:1),
% 10.64/11.03 skol48 [376, 2] (w:1, o:266, a:1, s:1, b:1),
% 10.64/11.03 skol49 [377, 2] (w:1, o:267, a:1, s:1, b:1),
% 10.64/11.03 skol50 [378, 3] (w:1, o:348, a:1, s:1, b:1),
% 10.64/11.03 skol51 [379, 3] (w:1, o:349, a:1, s:1, b:1),
% 37.16/37.51 skol52 [380, 3] (w:1, o:350, a:1, s:1, b:1),
% 37.16/37.51 skol53 [381, 2] (w:1, o:244, a:1, s:1, b:1),
% 37.16/37.51 skol54 [382, 2] (w:1, o:245, a:1, s:1, b:1).
% 37.16/37.51
% 37.16/37.51
% 37.16/37.51 Starting Search:
% 37.16/37.51
% 37.16/37.51 *** allocated 170857 integers for clauses
% 37.16/37.51 Resimplifying inuse:
% 37.16/37.51 Done
% 37.16/37.51
% 37.16/37.51
% 37.16/37.51 Intermediate Status:
% 37.16/37.51 Generated: 2744
% 37.16/37.51 Kept: 2008
% 37.16/37.51 Inuse: 6
% 37.16/37.51 Deleted: 0
% 37.16/37.51 Deletedinuse: 0
% 37.16/37.51
% 37.16/37.51 *** allocated 256285 integers for clauses
% 37.16/37.51 *** allocated 170857 integers for termspace/termends
% 37.16/37.51 Resimplifying inuse:
% 37.16/37.51 Done
% 37.16/37.51
% 37.16/37.51 *** allocated 384427 integers for clauses
% 37.16/37.51
% 37.16/37.51 Intermediate Status:
% 37.16/37.51 Generated: 6802
% 37.16/37.51 Kept: 4039
% 37.16/37.51 Inuse: 192
% 37.16/37.51 Deleted: 5
% 37.16/37.51 Deletedinuse: 1
% 37.16/37.51
% 37.16/37.51 Resimplifying inuse:
% 37.16/37.51 Done
% 37.16/37.51
% 37.16/37.51 *** allocated 256285 integers for termspace/termends
% 37.16/37.51 Resimplifying inuse:
% 37.16/37.51 Done
% 37.16/37.51
% 37.16/37.51
% 37.16/37.51 Intermediate Status:
% 37.16/37.51 Generated: 10570
% 37.16/37.51 Kept: 6047
% 37.16/37.51 Inuse: 293
% 37.16/37.51 Deleted: 7
% 37.16/37.51 Deletedinuse: 2
% 37.16/37.51
% 37.16/37.51 *** allocated 576640 integers for clauses
% 37.16/37.51 Resimplifying inuse:
% 37.16/37.51 Done
% 37.16/37.51
% 37.16/37.51 *** allocated 384427 integers for termspace/termends
% 37.16/37.51
% 37.16/37.51 Intermediate Status:
% 37.16/37.51 Generated: 15875
% 37.16/37.51 Kept: 8912
% 37.16/37.51 Inuse: 311
% 37.16/37.51 Deleted: 7
% 37.16/37.51 Deletedinuse: 2
% 37.16/37.51
% 37.16/37.51 Resimplifying inuse:
% 37.16/37.51 Done
% 37.16/37.51
% 37.16/37.51 Resimplifying inuse:
% 37.16/37.51 Done
% 37.16/37.51
% 37.16/37.51 *** allocated 864960 integers for clauses
% 37.16/37.51
% 37.16/37.51 Intermediate Status:
% 37.16/37.51 Generated: 20594
% 37.16/37.51 Kept: 10920
% 37.16/37.51 Inuse: 382
% 37.16/37.51 Deleted: 7
% 37.16/37.51 Deletedinuse: 2
% 37.16/37.51
% 37.16/37.51 Resimplifying inuse:
% 37.16/37.51 Done
% 37.16/37.51
% 37.16/37.51 Resimplifying inuse:
% 37.16/37.51 Done
% 37.16/37.51
% 37.16/37.51
% 37.16/37.51 Intermediate Status:
% 37.16/37.51 Generated: 26200
% 37.16/37.51 Kept: 13050
% 37.16/37.51 Inuse: 431
% 37.16/37.51 Deleted: 7
% 37.16/37.51 Deletedinuse: 2
% 37.16/37.51
% 37.16/37.51 Resimplifying inuse:
% 37.16/37.51 Done
% 37.16/37.51
% 37.16/37.51 *** allocated 576640 integers for termspace/termends
% 37.16/37.51
% 37.16/37.51 Intermediate Status:
% 37.16/37.51 Generated: 33557
% 37.16/37.51 Kept: 15302
% 37.16/37.51 Inuse: 456
% 37.16/37.51 Deleted: 7
% 37.16/37.51 Deletedinuse: 2
% 37.16/37.51
% 37.16/37.51 Resimplifying inuse:
% 37.16/37.51 Done
% 37.16/37.51
% 37.16/37.51 *** allocated 1297440 integers for clauses
% 37.16/37.51 Resimplifying inuse:
% 37.16/37.51 Done
% 37.16/37.51
% 37.16/37.51
% 37.16/37.51 Intermediate Status:
% 37.16/37.51 Generated: 41545
% 37.16/37.51 Kept: 17303
% 37.16/37.51 Inuse: 477
% 37.16/37.51 Deleted: 7
% 37.16/37.51 Deletedinuse: 2
% 37.16/37.51
% 37.16/37.51 Resimplifying inuse:
% 37.16/37.51 Done
% 37.16/37.51
% 37.16/37.51 *** allocated 864960 integers for termspace/termends
% 37.16/37.51
% 37.16/37.51 Intermediate Status:
% 37.16/37.51 Generated: 48010
% 37.16/37.51 Kept: 19318
% 37.16/37.51 Inuse: 508
% 37.16/37.51 Deleted: 7
% 37.16/37.51 Deletedinuse: 2
% 37.16/37.51
% 37.16/37.51 Resimplifying inuse:
% 37.16/37.51 Done
% 37.16/37.51
% 37.16/37.51 Resimplifying clauses:
% 37.16/37.51 Done
% 37.16/37.51
% 37.16/37.51 Resimplifying inuse:
% 37.16/37.51 Done
% 37.16/37.51
% 37.16/37.51
% 37.16/37.51 Intermediate Status:
% 37.16/37.51 Generated: 54023
% 37.16/37.51 Kept: 21371
% 37.16/37.51 Inuse: 571
% 37.16/37.51 Deleted: 508
% 37.16/37.51 Deletedinuse: 3
% 37.16/37.51
% 37.16/37.51 Resimplifying inuse:
% 37.16/37.51 Done
% 37.16/37.51
% 37.16/37.51 Resimplifying inuse:
% 37.16/37.51 Done
% 37.16/37.51
% 37.16/37.51
% 37.16/37.51 Intermediate Status:
% 37.16/37.51 Generated: 58459
% 37.16/37.51 Kept: 23588
% 37.16/37.51 Inuse: 606
% 37.16/37.51 Deleted: 508
% 37.16/37.51 Deletedinuse: 3
% 37.16/37.51
% 37.16/37.51 Resimplifying inuse:
% 37.16/37.51 Done
% 37.16/37.51
% 37.16/37.51 *** allocated 1946160 integers for clauses
% 37.16/37.51 Resimplifying inuse:
% 37.16/37.51 Done
% 37.16/37.51
% 37.16/37.51
% 37.16/37.51 Intermediate Status:
% 37.16/37.51 Generated: 67534
% 37.16/37.51 Kept: 26441
% 37.16/37.51 Inuse: 641
% 37.16/37.51 Deleted: 508
% 37.16/37.51 Deletedinuse: 3
% 37.16/37.51
% 37.16/37.51 Resimplifying inuse:
% 37.16/37.51 Done
% 37.16/37.51
% 37.16/37.51 *** allocated 1297440 integers for termspace/termends
% 37.16/37.51 Resimplifying inuse:
% 37.16/37.51 Done
% 37.16/37.51
% 37.16/37.51
% 37.16/37.51 Intermediate Status:
% 37.16/37.51 Generated: 74979
% 37.16/37.51 Kept: 28567
% 37.16/37.51 Inuse: 661
% 37.16/37.51 Deleted: 508
% 37.16/37.51 Deletedinuse: 3
% 37.16/37.51
% 37.16/37.51 Resimplifying inuse:
% 37.16/37.51 Done
% 37.16/37.51
% 37.16/37.51
% 37.16/37.51 Intermediate Status:
% 37.16/37.51 Generated: 85685
% 37.16/37.51 Kept: 31247
% 37.16/37.51 Inuse: 681
% 37.16/37.51 Deleted: 508
% 37.16/37.51 Deletedinuse: 3
% 37.16/37.51
% 37.16/37.51 Resimplifying inuse:
% 37.16/37.51 Done
% 37.16/37.51
% 37.16/37.51
% 37.16/37.51 Intermediate Status:
% 37.16/37.51 Generated: 96902
% 37.16/37.51 Kept: 33757
% 37.16/37.51 Inuse: 696
% 37.16/37.51 Deleted: 508
% 37.16/37.51 Deletedinuse: 3
% 37.16/37.51
% 37.16/37.51 Resimplifying inuse:
% 37.16/37.51 Done
% 37.16/37.51
% 37.16/37.51
% 37.16/37.51 Intermediate Status:
% 37.16/37.51 Generated: 104123
% 37.16/37.51 Kept: 37831
% 37.16/37.51 Inuse: 721
% 37.16/37.51 Deleted: 508
% 37.16/37.51 Deletedinuse: 3
% 37.16/37.51
% 37.16/37.51 Resimplifying inuse:
% 37.16/37.51 Done
% 37.16/37.51
% 37.16/37.51 *** allocated 2919240 integers for clauses
% 37.16/37.51
% 37.16/37.51 Intermediate Status:
% 37.16/37.51 Generated: 119436
% 37.16/37.51 Kept: 40050
% 37.16/37.51 Inuse: 731
% 37.16/37.51 Deleted: 508
% 37.16/37.51 Deletedinuse: 3
% 37.16/37.51
% 37.16/37.51 Resimplifying inuse:
% 37.16/37.51 Done
% 37.16/37.51
% 37.16/37.51 Resimplifying clauses:
% 37.16/37.51 Done
% 37.16/37.51
% 37.16/37.51 Resimplifying inuse:
% 37.16/37.51 Done
% 37.16/37.51
% 37.16/37.51 *** allocated 1946160 integers for termspace/termends
% 37.16/37.51
% 37.16/37.51 Intermediate Status:
% 37.16/37.51 Generated: 142138
% 37.16/37.51 Kept: 43331
% 37.16/37.51 Inuse: 741
% 37.16/37.51 Deleted: 690
% 37.16/37.51 Deletedinuse: 3
% 37.16/37.51
% 37.16/37.51 Resimplifying inuse:
% 37.16/37.51 Done
% 37.16/37.51
% 37.16/37.51 Resimplifying inuse:
% 37.16/37.51 Done
% 37.16/37.51
% 37.16/37.51
% 37.16/37.51 Intermediate Status:
% 37.16/37.51 Generated: 153633
% 37.16/37.51 Kept: 45480
% 37.16/37.51 Inuse: 761
% 37.16/37.51 Deleted: 690
% 37.16/37.51 Deletedinuse: 3
% 37.16/37.51
% 37.16/37.51 Resimplifying inuse:
% 37.16/37.51 Done
% 37.16/37.51
% 37.16/37.51 Resimplifying inuse:
% 37.16/37.51 Done
% 37.16/37.51
% 37.16/37.51
% 37.16/37.51 Intermediate Status:
% 37.16/37.51 Generated: 165784
% 37.16/37.51 Kept: 47681
% 37.16/37.51 Inuse: 791
% 37.16/37.51 Deleted: 690
% 37.16/37.51 Deletedinuse: 3
% 200.20/200.59
% 200.20/200.59 Resimplifying inuse:
% 200.20/200.59 Done
% 200.20/200.59
% 200.20/200.59 Resimplifying inuse:
% 200.20/200.59 Done
% 200.20/200.59
% 200.20/200.59
% 200.20/200.59 Intermediate Status:
% 200.20/200.59 Generated: 172030
% 200.20/200.59 Kept: 49766
% 200.20/200.59 Inuse: 826
% 200.20/200.59 Deleted: 690
% 200.20/200.59 Deletedinuse: 3
% 200.20/200.59
% 200.20/200.59 Resimplifying inuse:
% 200.20/200.59 Done
% 200.20/200.59
% 200.20/200.59 Resimplifying inuse:
% 200.20/200.59 Done
% 200.20/200.59
% 200.20/200.59
% 200.20/200.59 Intermediate Status:
% 200.20/200.59 Generated: 176931
% 200.20/200.59 Kept: 51857
% 200.20/200.59 Inuse: 886
% 200.20/200.59 Deleted: 690
% 200.20/200.59 Deletedinuse: 3
% 200.20/200.59
% 200.20/200.59 Resimplifying inuse:
% 200.20/200.59 Done
% 200.20/200.59
% 200.20/200.59 Resimplifying inuse:
% 200.20/200.59 Done
% 200.20/200.59
% 200.20/200.59
% 200.20/200.59 Intermediate Status:
% 200.20/200.59 Generated: 182594
% 200.20/200.59 Kept: 53886
% 200.20/200.59 Inuse: 941
% 200.20/200.59 Deleted: 690
% 200.20/200.59 Deletedinuse: 3
% 200.20/200.59
% 200.20/200.59 Resimplifying inuse:
% 200.20/200.59 Done
% 200.20/200.59
% 200.20/200.59 Resimplifying inuse:
% 200.20/200.59 Done
% 200.20/200.59
% 200.20/200.59
% 200.20/200.59 Intermediate Status:
% 200.20/200.59 Generated: 190459
% 200.20/200.59 Kept: 56137
% 200.20/200.59 Inuse: 1001
% 200.20/200.59 Deleted: 690
% 200.20/200.59 Deletedinuse: 3
% 200.20/200.59
% 200.20/200.59 Resimplifying inuse:
% 200.20/200.59 Done
% 200.20/200.59
% 200.20/200.59 Resimplifying inuse:
% 200.20/200.59 Done
% 200.20/200.59
% 200.20/200.59
% 200.20/200.59 Intermediate Status:
% 200.20/200.59 Generated: 198243
% 200.20/200.59 Kept: 58167
% 200.20/200.59 Inuse: 1031
% 200.20/200.59 Deleted: 690
% 200.20/200.59 Deletedinuse: 3
% 200.20/200.59
% 200.20/200.59 Resimplifying inuse:
% 200.20/200.59 Done
% 200.20/200.59
% 200.20/200.59 Resimplifying inuse:
% 200.20/200.59 Done
% 200.20/200.59
% 200.20/200.59 Resimplifying clauses:
% 200.20/200.59 Done
% 200.20/200.59
% 200.20/200.59
% 200.20/200.59 Intermediate Status:
% 200.20/200.59 Generated: 205718
% 200.20/200.59 Kept: 60173
% 200.20/200.59 Inuse: 1058
% 200.20/200.59 Deleted: 915
% 200.20/200.59 Deletedinuse: 3
% 200.20/200.59
% 200.20/200.59 Resimplifying inuse:
% 200.20/200.59 Done
% 200.20/200.59
% 200.20/200.59 *** allocated 4378860 integers for clauses
% 200.20/200.59 Resimplifying inuse:
% 200.20/200.59 Done
% 200.20/200.59
% 200.20/200.59
% 200.20/200.59 Intermediate Status:
% 200.20/200.59 Generated: 214899
% 200.20/200.59 Kept: 62386
% 200.20/200.59 Inuse: 1086
% 200.20/200.59 Deleted: 915
% 200.20/200.59 Deletedinuse: 3
% 200.20/200.59
% 200.20/200.59 Resimplifying inuse:
% 200.20/200.59 Done
% 200.20/200.59
% 200.20/200.59 *** allocated 2919240 integers for termspace/termends
% 200.20/200.59 Resimplifying inuse:
% 200.20/200.59 Done
% 200.20/200.59
% 200.20/200.59
% 200.20/200.59 Intermediate Status:
% 200.20/200.59 Generated: 222848
% 200.20/200.59 Kept: 64493
% 200.20/200.59 Inuse: 1111
% 200.20/200.59 Deleted: 915
% 200.20/200.59 Deletedinuse: 3
% 200.20/200.59
% 200.20/200.59 Resimplifying inuse:
% 200.20/200.59 Done
% 200.20/200.59
% 200.20/200.59 Resimplifying inuse:
% 200.20/200.59 Done
% 200.20/200.59
% 200.20/200.59
% 200.20/200.59 Intermediate Status:
% 200.20/200.59 Generated: 231508
% 200.20/200.59 Kept: 66597
% 200.20/200.59 Inuse: 1131
% 200.20/200.59 Deleted: 915
% 200.20/200.59 Deletedinuse: 3
% 200.20/200.59
% 200.20/200.59
% 200.20/200.59 Intermediate Status:
% 200.20/200.59 Generated: 241788
% 200.20/200.59 Kept: 69163
% 200.20/200.59 Inuse: 1140
% 200.20/200.59 Deleted: 915
% 200.20/200.59 Deletedinuse: 3
% 200.20/200.59
% 200.20/200.59 Resimplifying inuse:
% 200.20/200.59 Done
% 200.20/200.59
% 200.20/200.59 Resimplifying inuse:
% 200.20/200.59 Done
% 200.20/200.59
% 200.20/200.59
% 200.20/200.59 Intermediate Status:
% 200.20/200.59 Generated: 247949
% 200.20/200.59 Kept: 71268
% 200.20/200.59 Inuse: 1206
% 200.20/200.59 Deleted: 916
% 200.20/200.59 Deletedinuse: 4
% 200.20/200.59
% 200.20/200.59 Resimplifying inuse:
% 200.20/200.59 Done
% 200.20/200.59
% 200.20/200.59 Resimplifying inuse:
% 200.20/200.59 Done
% 200.20/200.59
% 200.20/200.59
% 200.20/200.59 Intermediate Status:
% 200.20/200.59 Generated: 253169
% 200.20/200.59 Kept: 73268
% 200.20/200.59 Inuse: 1269
% 200.20/200.59 Deleted: 916
% 200.20/200.59 Deletedinuse: 4
% 200.20/200.59
% 200.20/200.59 Resimplifying inuse:
% 200.20/200.59 Done
% 200.20/200.59
% 200.20/200.59 Resimplifying inuse:
% 200.20/200.59 Done
% 200.20/200.59
% 200.20/200.59
% 200.20/200.59 Intermediate Status:
% 200.20/200.59 Generated: 258085
% 200.20/200.59 Kept: 75274
% 200.20/200.59 Inuse: 1336
% 200.20/200.59 Deleted: 916
% 200.20/200.59 Deletedinuse: 4
% 200.20/200.59
% 200.20/200.59 Resimplifying inuse:
% 200.20/200.59 Done
% 200.20/200.59
% 200.20/200.59 Resimplifying inuse:
% 200.20/200.59 Done
% 200.20/200.59
% 200.20/200.59
% 200.20/200.59 Intermediate Status:
% 200.20/200.59 Generated: 262738
% 200.20/200.59 Kept: 77500
% 200.20/200.59 Inuse: 1366
% 200.20/200.59 Deleted: 916
% 200.20/200.59 Deletedinuse: 4
% 200.20/200.59
% 200.20/200.59 Resimplifying inuse:
% 200.20/200.59 Done
% 200.20/200.59
% 200.20/200.59 Resimplifying inuse:
% 200.20/200.59 Done
% 200.20/200.59
% 200.20/200.59
% 200.20/200.59 Intermediate Status:
% 200.20/200.59 Generated: 269233
% 200.20/200.59 Kept: 79504
% 200.20/200.59 Inuse: 1409
% 200.20/200.59 Deleted: 916
% 200.20/200.59 Deletedinuse: 4
% 200.20/200.59
% 200.20/200.59 Resimplifying inuse:
% 200.20/200.59 Done
% 200.20/200.59
% 200.20/200.59 Resimplifying clauses:
% 200.20/200.59 Done
% 200.20/200.59
% 200.20/200.59 Resimplifying inuse:
% 200.20/200.59 Done
% 200.20/200.59
% 200.20/200.59
% 200.20/200.59 Intermediate Status:
% 200.20/200.59 Generated: 281487
% 200.20/200.59 Kept: 82738
% 200.20/200.59 Inuse: 1441
% 200.20/200.59 Deleted: 1256
% 200.20/200.59 Deletedinuse: 4
% 200.20/200.59
% 200.20/200.59 Resimplifying inuse:
% 200.20/200.59 Done
% 200.20/200.59
% 200.20/200.59 Resimplifying inuse:
% 200.20/200.59 Done
% 200.20/200.59
% 200.20/200.59
% 200.20/200.59 Intermediate Status:
% 200.20/200.59 Generated: 289010
% 200.20/200.59 Kept: 84847
% 200.20/200.59 Inuse: 1451
% 200.20/200.59 Deleted: 1256
% 200.20/200.59 Deletedinuse: 4
% 200.20/200.59
% 200.20/200.59
% 200.20/200.59 Intermediate Status:
% 200.20/200.59 Generated: 308760
% 200.20/200.59 Kept: 88698
% 200.20/200.59 Inuse: 1466
% 200.20/200.59 Deleted: 1256
% 200.20/200.59 Deletedinuse: 4
% 200.20/200.59
% 200.20/200.59 Resimplifying inuse:
% 200.20/200.59 Done
% 200.20/200.59
% 200.20/200.59 Resimplifying inuse:
% 200.20/200.59 Done
% 200.20/200.59
% 200.20/200.59
% 200.20/200.59 Intermediate Status:
% 200.20/200.59 Generated: 313783
% 200.20/200.59 Kept: 90801
% 200.20/200.59 Inuse: 1516
% 200.20/200.59 Deleted: 1256
% 200.20/200.59 Deletedinuse: 4
% 200.20/200.59
% 200.20/200.59 Resimplifying inuse:
% 200.20/200.59 Done
% 200.20/200.59
% 200.20/200.59 *** allocated 4378860 integers for termspace/termends
% 200.20/200.59 Resimplifying inuse:
% 200.20/200.59 Done
% 200.20/200.59
% 200.20/200.59
% 200.20/200.59 Intermediate Status:
% 200.20/200.59 Generated: 318084
% 200.20/200.59 Kept: 92942
% 200.20/200.59 Inuse: 1571
% 200.20/200.59 Deleted: 1256
% 200.20/200.59 Deletedinuse: 4
% 200.20/200.59
% 200.20/200.59 Resimplifying inuse:
% 200.20/200.59 Done
% 200.20/200.59
% 200.20/200.59 Resimplifying inuse:
% 200.20/200.59 Done
% 200.20/200.59
% 200.20/200.59
% 200.20/200.59 Intermediate Status:
% 200.20/200.59 Generated: 321364
% 200.20/200.59 Kept: 94962
% 200.20/200.59 Inuse: 1636
% 200.20/200.59 Deleted: 1256
% 200.20/200.59 Deletedinuse: 4
% 200.20/200.59
% 200.20/200.59 Resimplifying inuse:
% 200.20/200.59 Done
% 200.20/200.59
% 200.20/200.59 *** allocated 6568290 integers for clauses
% 200.20/200.59 Resimplifying inuse:
% 200.20/200.59 Done
% 200.20/200.59
% 200.20/200.59
% 200.20/200.59 Intermediate Status:
% 200.20/200.59 Generated: 326572
% 200.20/200.59 Kept: 97136
% 200.20/200.59 Inuse: 1686
% 200.20/200.59 Deleted: 1259
% 200.20/200.59 Deletedinuse: 7
% 200.20/200.59
% 200.20/200.59 Resimplifying inuse:
% 200.20/200.59 Done
% 200.20/200.59
% 200.20/200.59
% 200.20/200.59 Intermediate Status:
% 200.20/200.59 Generated: 332560
% 200.20/200.59 Kept: 99155
% 200.20/200.59 Inuse: 1706
% 200.20/200.59 Deleted: 1259
% 200.20/200.59 Deletedinuse: 7
% 200.20/200.59
% 200.20/200.59 Resimplifying inuse:
% 200.20/200.59 Done
% 200.20/200.59
% 200.20/200.59
% 200.20/200.59 IntermeCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------