TSTP Solution File: SWW214+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWW214+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 23:21:17 EDT 2022
% Result : Timeout 300.02s 300.44s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWW214+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Sun Jun 5 13:04:48 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.96/1.48 *** allocated 10000 integers for termspace/termends
% 0.96/1.48 *** allocated 10000 integers for clauses
% 0.96/1.48 *** allocated 10000 integers for justifications
% 0.96/1.48 *** allocated 15000 integers for termspace/termends
% 0.96/1.48 *** allocated 22500 integers for termspace/termends
% 0.96/1.48 *** allocated 33750 integers for termspace/termends
% 0.96/1.48 Bliksem 1.12
% 0.96/1.48
% 0.96/1.48
% 0.96/1.48 Automatic Strategy Selection
% 0.96/1.48
% 0.96/1.48 *** allocated 50625 integers for termspace/termends
% 0.96/1.48 *** allocated 75937 integers for termspace/termends
% 0.96/1.48 *** allocated 113905 integers for termspace/termends
% 0.96/1.48
% 0.96/1.48 Clauses:
% 0.96/1.48
% 0.96/1.48 { ! hAPP( Y, skol1( X, Y ) ) = hAPP( X, skol1( X, Y ) ), Y = X }.
% 0.96/1.48 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.48 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), v_e ) }.
% 0.96/1.48 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.48 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), v_d____ ) }.
% 0.96/1.48 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.48 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), v_m____ ) }.
% 0.96/1.48 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.48 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol2 ) }.
% 0.96/1.48 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.48 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.96/1.48 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.96/1.48 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z ) ) ), !
% 0.96/1.48 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.48 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.96/1.48 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z ) ), skol2 ),
% 0.96/1.48 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.48 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.96/1.48 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, hAPP(
% 0.96/1.48 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_cs____ ),
% 0.96/1.48 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z ) ), hAPP(
% 0.96/1.48 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_cs____ ),
% 0.96/1.48 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, v_z, v_z ) ) ) ), v_e
% 0.96/1.48 ) }.
% 0.96/1.48 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.96/1.48 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.48 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.96/1.48 c_RealVector_Onorm__class_Onorm( X, Y ) ), ! Y =
% 0.96/1.48 c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.48 { ! class_RealVector_Oreal__normed__vector( X ), Y =
% 0.96/1.48 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless(
% 0.96/1.48 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.96/1.48 c_RealVector_Onorm__class_Onorm( X, Y ) ) }.
% 0.96/1.48 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.96/1.48 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.48 c_RealVector_Onorm__class_Onorm( X, Y ), c_Groups_Ozero__class_Ozero(
% 0.96/1.48 tc_RealDef_Oreal ) ) }.
% 0.96/1.48 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.96/1.48 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.96/1.48 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.96/1.48 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.96/1.48 c_RealVector_Onorm__class_Onorm( X, Y ) = c_Groups_Ozero__class_Ozero(
% 0.96/1.48 tc_RealDef_Oreal ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.48 { ! class_RealVector_Oreal__normed__vector( X ), ! Y =
% 0.96/1.48 c_Groups_Ozero__class_Ozero( X ), c_RealVector_Onorm__class_Onorm( X, Y )
% 0.96/1.48 = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.96/1.48 { hAPP( c_Polynomial_Opoly( tc_Complex_Ocomplex, v_q____ ),
% 0.96/1.48 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z ) ) = hAPP(
% 0.96/1.48 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), X ) }.
% 0.96/1.48 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.96/1.48 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.96/1.48 X, c_Groups_Ominus__class_Ominus( X, Z, Y ), c_Groups_Ozero__class_Ozero
% 0.96/1.48 ( X ) ) }.
% 0.96/1.48 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.96/1.48 c_Orderings_Oord__class_Oless( X, c_Groups_Ominus__class_Ominus( X, Z, Y
% 0.96/1.48 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.96/1.48 , Z, Y ) }.
% 0.96/1.48 { ! class_Rings_Ocomm__ring( X ), hAPP( c_Polynomial_Opoly( X,
% 0.96/1.48 c_Groups_Ominus__class_Ominus( tc_Polynomial_Opoly( X ), T, Z ) ), Y ) =
% 0.96/1.48 c_Groups_Ominus__class_Ominus( X, hAPP( c_Polynomial_Opoly( X, T ), Y ),
% 0.96/1.48 hAPP( c_Polynomial_Opoly( X, Z ), Y ) ) }.
% 0.96/1.48 { ! class_Rings_Ocomm__semiring__0( X ), hAPP( c_Polynomial_Opoly( X,
% 0.96/1.48 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ), Y ) =
% 0.96/1.48 c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.48 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus(
% 0.96/1.48 tc_Polynomial_Opoly( X ), c_Polynomial_OpCons( X, U, T ),
% 0.96/1.48 c_Polynomial_OpCons( X, Z, Y ) ) = c_Polynomial_OpCons( X,
% 0.96/1.48 c_Groups_Ominus__class_Ominus( X, U, Z ), c_Groups_Ominus__class_Ominus(
% 0.96/1.48 tc_Polynomial_Opoly( X ), T, Y ) ) }.
% 0.96/1.48 { ! class_Groups_Ozero( X ), c_Polynomial_OpCons( X,
% 0.96/1.48 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ozero__class_Ozero(
% 0.96/1.48 tc_Polynomial_Opoly( X ) ) ) = c_Groups_Ozero__class_Ozero(
% 0.96/1.48 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.48 { ! class_Groups_Ozero( X ), ! c_Polynomial_OpCons( X, Z, Y ) =
% 0.96/1.48 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), Z =
% 0.96/1.48 c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.48 { ! class_Groups_Ozero( X ), ! c_Polynomial_OpCons( X, Z, Y ) =
% 0.96/1.48 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), Y =
% 0.96/1.48 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.48 { ! class_Groups_Ozero( X ), ! Z = c_Groups_Ozero__class_Ozero( X ), ! Y =
% 0.96/1.48 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ),
% 0.96/1.48 c_Polynomial_OpCons( X, Z, Y ) = c_Groups_Ozero__class_Ozero(
% 0.96/1.48 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.48 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.96/1.48 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X, Z,
% 0.96/1.48 Y ) ) = c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus
% 0.96/1.48 ( X, Y, Z ) ) }.
% 0.96/1.48 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, v_d____,
% 0.96/1.48 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.96/1.48 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, v_d____,
% 0.96/1.48 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, v_e, v_m____ ) ) }.
% 0.96/1.48 { c_Polynomial_Odegree( tc_Complex_Ocomplex, v_q____ ) =
% 0.96/1.48 c_Polynomial_Odegree( tc_Complex_Ocomplex, v_p ) }.
% 0.96/1.48 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus(
% 0.96/1.48 tc_Polynomial_Opoly( X ), Y, c_Groups_Ozero__class_Ozero(
% 0.96/1.48 tc_Polynomial_Opoly( X ) ) ) = Y }.
% 0.96/1.48 { ! class_Int_Oring__char__0( X ), ! class_Rings_Oidom( X ), !
% 0.96/1.48 c_Polynomial_Opoly( X, Y ) = c_Polynomial_Opoly( X,
% 0.96/1.48 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ), Y =
% 0.96/1.48 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.48 { ! class_Int_Oring__char__0( X ), ! class_Rings_Oidom( X ), ! Y =
% 0.96/1.48 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ),
% 0.96/1.48 c_Polynomial_Opoly( X, Y ) = c_Polynomial_Opoly( X,
% 0.96/1.48 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ) }.
% 0.96/1.48 { ! class_Groups_Ozero( X ), ! c_Groups_Ozero__class_Ozero( X ) = Y, Y =
% 0.96/1.48 c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.48 { ! class_Groups_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.96/1.48 c_Groups_Ozero__class_Ozero( X ) = Y }.
% 0.96/1.48 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.96/1.48 U, T ) = c_Groups_Ominus__class_Ominus( X, Z, Y ), ! U = T, Z = Y }.
% 0.96/1.48 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.96/1.48 U, T ) = c_Groups_Ominus__class_Ominus( X, Z, Y ), ! Z = Y, U = T }.
% 0.96/1.48 { ! class_Groups_Ozero( X ), ! c_Polynomial_OpCons( X, U, T ) =
% 0.96/1.48 c_Polynomial_OpCons( X, Z, Y ), U = Z }.
% 0.96/1.48 { ! class_Groups_Ozero( X ), ! c_Polynomial_OpCons( X, U, T ) =
% 0.96/1.48 c_Polynomial_OpCons( X, Z, Y ), T = Y }.
% 0.96/1.48 { ! class_Groups_Ozero( X ), ! U = Z, ! T = Y, c_Polynomial_OpCons( X, U, T
% 0.96/1.48 ) = c_Polynomial_OpCons( X, Z, Y ) }.
% 0.96/1.48 { ! class_Int_Oring__char__0( X ), ! class_Rings_Oidom( X ), !
% 0.96/1.48 c_Polynomial_Opoly( X, Z ) = c_Polynomial_Opoly( X, Y ), Z = Y }.
% 0.96/1.48 { ! class_Int_Oring__char__0( X ), ! class_Rings_Oidom( X ), ! Z = Y,
% 0.96/1.48 c_Polynomial_Opoly( X, Z ) = c_Polynomial_Opoly( X, Y ) }.
% 0.96/1.48 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ominus__class_Ominus( X, Z, Y
% 0.96/1.48 ) = c_Groups_Ozero__class_Ozero( X ), Z = Y }.
% 0.96/1.48 { ! class_Groups_Ogroup__add( X ), ! Z = Y, c_Groups_Ominus__class_Ominus(
% 0.96/1.48 X, Z, Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.48 { ! class_Groups_Oab__group__add( X ), ! Z = Y,
% 0.96/1.48 c_Groups_Ominus__class_Ominus( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.96/1.48 ) }.
% 0.96/1.48 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.96/1.48 Z, Y ) = c_Groups_Ozero__class_Ozero( X ), Z = Y }.
% 0.96/1.48 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Y, Y )
% 0.96/1.48 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.48 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Y,
% 0.96/1.48 c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.96/1.48 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.96/1.48 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.96/1.48 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, U, T ),
% 0.96/1.48 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.96/1.48 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.96/1.48 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.96/1.48 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, Z, Y ),
% 0.96/1.48 c_Orderings_Oord__class_Oless( X, U, T ) }.
% 0.96/1.48 { hAPP( c_Polynomial_Opoly( tc_Complex_Ocomplex, v_q____ ), X ) = hAPP(
% 0.96/1.48 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ),
% 0.96/1.48 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, v_z, X ) ) }.
% 0.96/1.48 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.48 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_d____, v_m____ ), v_e
% 0.96/1.48 ) }.
% 0.96/1.48 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_d____, v_m____ ) ) }.
% 0.96/1.49 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, v_e, v_m____ ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__idom( X ), ! c_Polynomial_Opos__poly( X,
% 0.96/1.49 c_Polynomial_OpCons( X, Z, Y ) ), c_Polynomial_Opos__poly( X, Y ), alpha1
% 0.96/1.49 ( X, Y, Z ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__idom( X ), ! c_Polynomial_Opos__poly( X, Y ),
% 0.96/1.49 c_Polynomial_Opos__poly( X, c_Polynomial_OpCons( X, Z, Y ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__idom( X ), ! alpha1( X, Y, Z ),
% 0.96/1.49 c_Polynomial_Opos__poly( X, c_Polynomial_OpCons( X, Z, Y ) ) }.
% 0.96/1.49 { ! alpha1( X, Y, Z ), Y = c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly
% 0.96/1.49 ( X ) ) }.
% 0.96/1.49 { ! alpha1( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.96/1.49 { ! Y = c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.96/1.49 alpha1( X, Y, Z ) }.
% 0.96/1.49 { ! class_Rings_Oidom( X ), ! hAPP( c_Polynomial_Opoly( X, Z ), Y ) =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Polynomial_Opoly( X ) ), ! c_Polynomial_Oorder( X, Y, Z ) =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.96/1.49 { ! class_Rings_Oidom( X ), ! Z = c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Polynomial_Opoly( X ) ), hAPP( c_Polynomial_Opoly( X, Z ), Y ) =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.49 { ! class_Rings_Oidom( X ), c_Polynomial_Oorder( X, Y, Z ) =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hAPP( c_Polynomial_Opoly( X,
% 0.96/1.49 Z ), Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.49 { ! class_Groups_Ozero( X ), ! hAPP( hAPP( hAPP( Z,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ), c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Polynomial_Opoly( X ) ) ), Y ) = Y, c_Polynomial_Opoly__rec( W, X, Y,
% 0.96/1.49 Z, c_Polynomial_OpCons( X, U, T ) ) = hAPP( hAPP( hAPP( Z, U ), T ),
% 0.96/1.49 c_Polynomial_Opoly__rec( W, X, Y, Z, T ) ) }.
% 0.96/1.49 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.96/1.49 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ),
% 0.96/1.49 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.96/1.49 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_cs____ ), X ) ), v_m____ ) }.
% 0.96/1.49 { ! class_Groups_Ozero( X ), !
% 0.96/1.49 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize( X, Y ) =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.49 { ! class_Groups_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Polynomial_Opoly( X ) ),
% 0.96/1.49 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize( X, Y ) =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.96/1.49 { ! class_Groups_Ozero( X ), c_Polynomial_Opoly__rec( W, X, U, T,
% 0.96/1.49 c_Polynomial_OpCons( X, Z, Y ) ) = hAPP( hAPP( hAPP( T, Z ), Y ), c_If( W
% 0.96/1.49 , c_fequal( Y, c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) )
% 0.96/1.49 , U, c_Polynomial_Opoly__rec( W, X, U, T, Y ) ) ) }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__0( X ),
% 0.96/1.49 c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly( X,
% 0.96/1.49 c_Polynomial_OpCons( X, Z, c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Polynomial_Opoly( X ) ) ), Y ) = c_Polynomial_OpCons( X, Z,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.96/1.49 ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.96/1.49 ( X, Y ) ) ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.96/1.49 Y ) ), c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.96/1.49 ( X, Y ) ) ) }.
% 0.96/1.49 { ! class_Groups_Omonoid__mult( X ), c_Groups_Otimes__class_Otimes( X,
% 0.96/1.49 c_Groups_Oone__class_Oone( X ), Y ) = Y }.
% 0.96/1.49 { ! class_Groups_Ocomm__monoid__mult( X ), c_Groups_Otimes__class_Otimes( X
% 0.96/1.49 , c_Groups_Oone__class_Oone( X ), Y ) = Y }.
% 0.96/1.49 { ! class_Groups_Oone( X ), ! c_Groups_Oone__class_Oone( X ) = Y, Y =
% 0.96/1.49 c_Groups_Oone__class_Oone( X ) }.
% 0.96/1.49 { ! class_Groups_Oone( X ), ! Y = c_Groups_Oone__class_Oone( X ),
% 0.96/1.49 c_Groups_Oone__class_Oone( X ) = Y }.
% 0.96/1.49 { ! class_Groups_Omonoid__mult( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.96/1.49 c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.96/1.49 { ! class_Groups_Ocomm__monoid__mult( X ), c_Groups_Otimes__class_Otimes( X
% 0.96/1.49 , Y, c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.96/1.49 ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.96/1.49 T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.96/1.49 ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.96/1.49 T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.96/1.49 { ! class_Groups_Oab__semigroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.96/1.49 ( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y ) ) }.
% 0.96/1.49 { ! class_Groups_Oab__semigroup__mult( X ), c_Groups_Otimes__class_Otimes(
% 0.96/1.49 X, c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.96/1.49 , Y ) ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.96/1.49 , Y ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.96/1.49 , T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.96/1.49 , Y ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.96/1.49 , T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__field( X ),
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, T, Z
% 0.96/1.49 ), Y ) = c_Groups_Oplus__class_Oplus( X, c_Rings_Oinverse__class_Odivide
% 0.96/1.49 ( X, T, Y ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.96/1.49 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 T, Y ), Z = Y }.
% 0.96/1.49 { ! class_Groups_Ocancel__semigroup__add( X ), ! Z = Y,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 T, Y ) }.
% 0.96/1.49 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 Y, Z ), T = Y }.
% 0.96/1.49 { ! class_Groups_Ocancel__semigroup__add( X ), ! T = Y,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 Y, Z ) }.
% 0.96/1.49 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.96/1.49 Z ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.96/1.49 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.96/1.49 Z ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.96/1.49 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.96/1.49 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.96/1.49 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.96/1.49 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.96/1.49 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.96/1.49 T ), c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.96/1.49 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.96/1.49 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.96/1.49 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.96/1.49 U ), c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.96/1.49 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 T, Y ), Z = Y }.
% 0.96/1.49 { ! class_Groups_Ocancel__ab__semigroup__add( X ), !
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 T, Y ), Z = Y }.
% 0.96/1.49 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, Z, T ) = c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 Y, T ), Z = Y }.
% 0.96/1.49 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.96/1.49 T ), c_Groups_Oplus__class_Oplus( X, Y, T ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.96/1.49 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.96/1.49 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__0( X ), c_Polynomial_Odegree( X,
% 0.96/1.49 c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly( X, Z, Y ) ) =
% 0.96/1.49 c_Polynomial_Odegree( X, Z ) }.
% 0.96/1.49 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.96/1.49 , c_Groups_Oplus__class_Oplus( X, Y, Z ), c_Groups_Ozero__class_Ozero( X
% 0.96/1.49 ) ) }.
% 0.96/1.49 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.96/1.49 ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 Z, Y ) ) }.
% 0.96/1.49 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.96/1.49 ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 Y, Z ) ) }.
% 0.96/1.49 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.96/1.49 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.96/1.49 X ), Z ), ! c_Groups_Oplus__class_Oplus( X, Y, Z ) =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.96/1.49 .
% 0.96/1.49 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.96/1.49 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.96/1.49 X ), Z ), ! c_Groups_Oplus__class_Oplus( X, Y, Z ) =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.96/1.49 .
% 0.96/1.49 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.96/1.49 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.96/1.49 X ), Z ), ! Y = c_Groups_Ozero__class_Ozero( X ), ! Z =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Z )
% 0.96/1.49 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.49 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.96/1.49 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.96/1.49 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Z )
% 0.96/1.49 ) }.
% 0.96/1.49 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Y,
% 0.96/1.49 Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 ) }.
% 0.96/1.49 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X
% 0.96/1.49 , Y, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.96/1.49 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, Y, Y ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.96/1.49 ) }.
% 0.96/1.49 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.96/1.49 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.96/1.49 ), c_Groups_Oplus__class_Oplus( X, Y, Y ) ) }.
% 0.96/1.49 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, U, T ), c_Orderings_Oord__class_Oless(
% 0.96/1.49 X, c_Groups_Oplus__class_Oplus( X, Z, U ), c_Groups_Oplus__class_Oplus( X
% 0.96/1.49 , Y, T ) ) }.
% 0.96/1.49 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Z, U )
% 0.96/1.49 , c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.96/1.49 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, U, T
% 0.96/1.49 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, U, Z
% 0.96/1.49 ), c_Groups_Ominus__class_Ominus( X, T, Y ) ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, U, Z
% 0.96/1.49 ), Y ) ), c_Groups_Otimes__class_Otimes( X, Z,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( X, T, Y ) ) ) }.
% 0.96/1.49 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.96/1.49 class_RealVector_Oreal__normed__field( X ),
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.96/1.49 , Y ) ) = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.96/1.49 ( X, Y ) ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.96/1.49 ( X, Y ) ), c_RealVector_Onorm__class_Onorm( X,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, Z, Y ) ) ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__div__algebra( X ),
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.96/1.49 Y ) ) = c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.96/1.49 ( X, Y ) ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__algebra__1( X ),
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( X, c_Groups_Oone__class_Oone( X ) ) =
% 0.96/1.49 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.96/1.49 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus(
% 0.96/1.49 tc_Polynomial_Opoly( X ), c_Polynomial_OpCons( X, U, T ),
% 0.96/1.49 c_Polynomial_OpCons( X, Z, Y ) ) = c_Polynomial_OpCons( X,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, U, Z ), c_Groups_Oplus__class_Oplus(
% 0.96/1.49 tc_Polynomial_Opoly( X ), T, Y ) ) }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__0( X ), hAPP( c_Polynomial_Opoly( X,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Polynomial_Opoly( X ), T, Z ) ), Y ) =
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, hAPP( c_Polynomial_Opoly( X, T ), Y ),
% 0.96/1.49 hAPP( c_Polynomial_Opoly( X, Z ), Y ) ) }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__0( X ), hAPP( c_Polynomial_Opoly( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Polynomial_Opoly( X ), T, Z ) ), Y ) =
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, hAPP( c_Polynomial_Opoly( X, T ), Y ),
% 0.96/1.49 hAPP( c_Polynomial_Opoly( X, Z ), Y ) ) }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( c_Polynomial_Opoly( X,
% 0.96/1.49 c_Groups_Oone__class_Oone( tc_Polynomial_Opoly( X ) ) ), Y ) =
% 0.96/1.49 c_Groups_Oone__class_Oone( X ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.96/1.49 , Y ) ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X, U,
% 0.96/1.49 Z ) ), c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus
% 0.96/1.49 ( X, T, Y ) ) ) ) }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__0( X ), hAPP( c_Polynomial_Opoly( X,
% 0.96/1.49 c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly( X, T, Z ) ), Y
% 0.96/1.49 ) = hAPP( c_Polynomial_Opoly( X, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.96/1.49 , Y ) ) }.
% 0.96/1.49 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.96/1.49 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.96/1.49 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.96/1.49 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.96/1.49 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.96/1.49 ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.96/1.49 ) ) }.
% 0.96/1.49 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.96/1.49 ), ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.96/1.49 ) ) }.
% 0.96/1.49 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.96/1.49 ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.96/1.49 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.96/1.49 , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.96/1.49 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.96/1.49 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.96/1.49 , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__field( X ), Y =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), c_RealVector_Onorm__class_Onorm( X,
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.96/1.49 ( X, Y ) ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( X, Z ), Y ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( X, U ), T ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( X, c_Groups_Oplus__class_Oplus( X, Z, U
% 0.96/1.49 ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, T ) ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__algebra( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( X, Z ), Y ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( X, U ), T ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.96/1.49 U ) ), c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, T ) ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__field( X ),
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.96/1.49 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oone__class_Oone(
% 0.96/1.49 tc_Polynomial_Opoly( X ) ) = c_Polynomial_OpCons( X,
% 0.96/1.49 c_Groups_Oone__class_Oone( X ), c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Polynomial_Opoly( X ) ) ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__field( X ),
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X, T,
% 0.96/1.49 Z ), Y ) = c_Groups_Ominus__class_Ominus( X,
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, T, Y ),
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__0( X ), hAPP( c_Polynomial_Opoly( X,
% 0.96/1.49 c_Polynomial_OpCons( X, T, Z ) ), Y ) = c_Groups_Oplus__class_Oplus( X, T
% 0.96/1.49 , c_Groups_Otimes__class_Otimes( X, Y, hAPP( c_Polynomial_Opoly( X, Z ),
% 0.96/1.49 Y ) ) ) }.
% 0.96/1.49 { ! class_Groups_Omonoid__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.96/1.49 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.96/1.49 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) = c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.96/1.49 , Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.49 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ozero__class_Ozero( X ) =
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 0.96/1.49 { ! class_Groups_Omonoid__add( X ), c_Groups_Oplus__class_Oplus( X, Y,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.96/1.49 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.96/1.49 , c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.96/1.49 { ! class_Groups_Ozero( X ), c_Polynomial_Odegree( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ) =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.96/1.49 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.96/1.49 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ), c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, T, Y ) }.
% 0.96/1.49 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, T, Y ), c_Orderings_Oord__class_Oless(
% 0.96/1.49 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.96/1.49 , Y, Z ) ) }.
% 0.96/1.49 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.96/1.49 , c_Groups_Oplus__class_Oplus( X, T, Y ) ), c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, Z, Y ) }.
% 0.96/1.49 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.96/1.49 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.96/1.49 , T, Y ) ) }.
% 0.96/1.49 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.96/1.49 X, c_Groups_Oplus__class_Oplus( X, Z, T ), c_Groups_Oplus__class_Oplus( X
% 0.96/1.49 , Y, T ) ) }.
% 0.96/1.49 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.96/1.49 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.96/1.49 , T, Y ) ) }.
% 0.96/1.49 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, U, T ), c_Orderings_Oord__class_Oless( X,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, Z, U ), c_Groups_Oplus__class_Oplus( X, Y
% 0.96/1.49 , T ) ) }.
% 0.96/1.49 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Z, T )
% 0.96/1.49 , c_Groups_Oplus__class_Oplus( X, Y, T ) ), c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, Z, Y ) }.
% 0.96/1.49 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.96/1.49 , c_Groups_Oplus__class_Oplus( X, T, Y ) ), c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, Z, Y ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, c_Groups_Ozero__class_Ozero( X ), Y ) =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, c_Groups_Ozero__class_Ozero( X ), Y ) =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Y, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Y, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.49 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( X, Z, Y ), Y ) = Z }.
% 0.96/1.49 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, Z, Y ), Y ) = Z }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Ominus__class_Ominus( X, Z
% 0.96/1.49 , Y ) ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.96/1.49 ( X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Ominus__class_Ominus( X, Z
% 0.96/1.49 , Y ) ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.96/1.49 ( X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, T, Z
% 0.96/1.49 ), Y ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.96/1.49 ( X, T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, T, Z
% 0.96/1.49 ), Y ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.96/1.49 ( X, T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.96/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.96/1.49 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.96/1.49 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.96/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.96/1.49 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.96/1.49 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, U, T ) }.
% 0.96/1.49 { ! class_Groups_Oab__group__add( X ), ! c_Orderings_Oord__class_Oless(
% 0.96/1.49 tc_Nat_Onat, c_Polynomial_Odegree( X, Z ), Y ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Polynomial_Odegree( X, T )
% 0.96/1.49 , Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Polynomial_Odegree(
% 0.96/1.49 X, c_Groups_Ominus__class_Ominus( tc_Polynomial_Opoly( X ), Z, T ) ), Y )
% 0.96/1.49 }.
% 0.96/1.49 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, Y, Y ) ), c_Orderings_Oord__class_Oless(
% 0.96/1.49 X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.96/1.49 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, Y, Y ) ) }.
% 0.96/1.49 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.96/1.49 , c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Y
% 0.96/1.49 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.96/1.49 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.96/1.49 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.96/1.49 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.96/1.49 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.96/1.49 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.96/1.49 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.96/1.49 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.96/1.49 , c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.96/1.49 ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.96/1.49 { ! class_Groups_Ozero( X ), c_Polynomial_Odegree( X, c_Polynomial_OpCons(
% 0.96/1.49 X, Y, c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ) ) =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.96/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X, Z
% 0.96/1.49 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.96/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X, Z
% 0.96/1.49 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__idom( X ), ! c_Polynomial_Opos__poly( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.96/1.49 ( X, Y ) ), c_RealVector_Onorm__class_Onorm( X,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( X, Y ) ) }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__0( X ), !
% 0.96/1.49 c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly( X, Z, Y ) =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), Z =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__0( X ), ! Z = c_Groups_Ozero__class_Ozero
% 0.96/1.49 ( tc_Polynomial_Opoly( X ) ),
% 0.96/1.49 c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly( X, Z, Y ) =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__0( X ),
% 0.96/1.49 c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), Y ) =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless(
% 0.96/1.49 tc_Polynomial_Opoly( X ), Z, Y ), c_Polynomial_Opos__poly( X,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Polynomial_Opoly( X ), Y, Z ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__idom( X ), ! c_Polynomial_Opos__poly( X,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Polynomial_Opoly( X ), Y, Z ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Polynomial_Opoly( X ), Z, Y ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( X, Y ), c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_RealDef_Oreal ) ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__vector( X ), ! Y =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless__eq(
% 0.96/1.49 tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( X, Y ),
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.96/1.49 { ! class_Groups_Ozero( X ), ! hAPP( hAPP( hAPP( Z,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ), c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Polynomial_Opoly( X ) ) ), Y ) = Y, c_Polynomial_Opoly__rec( T, X, Y,
% 0.96/1.49 Z, c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ) = Y }.
% 0.96/1.49 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol3 ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ),
% 0.96/1.49 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.96/1.49 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_cs____ ), X ) ), skol3 ) }.
% 0.96/1.49 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol4 ) }.
% 0.96/1.49 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, skol4,
% 0.96/1.49 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.96/1.49 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, skol4,
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, v_e, v_m____ ) ) }.
% 0.96/1.49 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol5 ) }.
% 0.96/1.49 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, skol5,
% 0.96/1.49 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.96/1.49 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, skol5,
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, v_e, v_m____ ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__semiring__1__strict( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, T, Y ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), U ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), W
% 0.96/1.49 ), ! c_Groups_Oplus__class_Oplus( X, U, W ) = c_Groups_Oone__class_Oone
% 0.96/1.49 ( X ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.96/1.49 X, W, T ) ), Y ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( X, Z ), c_Groups_Otimes__class_Otimes(
% 0.96/1.49 tc_RealDef_Oreal, Y, c_RealVector_Onorm__class_Onorm( X, T ) ) ), Z =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 , c_Groups_Otimes__class_Otimes( X, Z, Y ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.96/1.49 , T, Z ), c_Rings_Oinverse__class_Odivide( X, T, Y ) ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.96/1.49 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 , c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.96/1.49 , T, Y ), c_Rings_Oinverse__class_Odivide( X, T, Z ) ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.96/1.49 X, Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.96/1.49 , T, Y ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Z, Y ), T ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.96/1.49 X, Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.96/1.49 , Y ), T ), c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.96/1.49 X, Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.96/1.49 ( X, Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.96/1.49 X, Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Otimes__class_Otimes( X
% 0.96/1.49 , T, Y ) ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.96/1.49 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 0.96/1.49 , Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.96/1.49 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes( X
% 0.96/1.49 , Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__0( X ), c_Orderings_Oord__class_Oless__eq
% 0.96/1.49 ( tc_Nat_Onat, c_Polynomial_Odegree( X, c_Groups_Otimes__class_Otimes(
% 0.96/1.49 tc_Polynomial_Opoly( X ), Z, Y ) ), c_Groups_Oplus__class_Oplus(
% 0.96/1.49 tc_Nat_Onat, c_Polynomial_Odegree( X, Z ), c_Polynomial_Odegree( X, Y ) )
% 0.96/1.49 ) }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__0( X ), c_Groups_Otimes__class_Otimes(
% 0.96/1.49 tc_Polynomial_Opoly( X ), c_Groups_Oplus__class_Oplus(
% 0.96/1.49 tc_Polynomial_Opoly( X ), T, Z ), Y ) = c_Groups_Oplus__class_Oplus(
% 0.96/1.49 tc_Polynomial_Opoly( X ), c_Groups_Otimes__class_Otimes(
% 0.96/1.49 tc_Polynomial_Opoly( X ), T, Y ), c_Groups_Otimes__class_Otimes(
% 0.96/1.49 tc_Polynomial_Opoly( X ), Z, Y ) ) }.
% 0.96/1.49 { ! class_Groups_Ocomm__monoid__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Polynomial_Odegree( X,
% 0.96/1.49 Z ), Y ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.49 c_Polynomial_Odegree( X, T ), Y ), c_Orderings_Oord__class_Oless__eq(
% 0.96/1.49 tc_Nat_Onat, c_Polynomial_Odegree( X, c_Groups_Oplus__class_Oplus(
% 0.96/1.49 tc_Polynomial_Opoly( X ), Z, T ) ), Y ) }.
% 0.96/1.49 { ! class_Rings_Oidom( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Polynomial_Opoly( X ) ), Z = c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Polynomial_Opoly( X ) ), c_Polynomial_Odegree( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Polynomial_Opoly( X ), Y, Z ) ) =
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Polynomial_Odegree( X, Y ),
% 0.96/1.49 c_Polynomial_Odegree( X, Z ) ) }.
% 0.96/1.49 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus(
% 0.96/1.49 tc_Polynomial_Opoly( X ), c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Polynomial_Opoly( X ) ), Y ) = Y }.
% 0.96/1.49 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus(
% 0.96/1.49 tc_Polynomial_Opoly( X ), Y, c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Polynomial_Opoly( X ) ) ) = Y }.
% 0.96/1.49 { ! class_Groups_Ocomm__monoid__add( X ), ! c_Orderings_Oord__class_Oless(
% 0.96/1.49 tc_Nat_Onat, c_Polynomial_Odegree( X, Z ), c_Polynomial_Odegree( X, Y ) )
% 0.96/1.49 , c_Polynomial_Odegree( X, c_Groups_Oplus__class_Oplus(
% 0.96/1.49 tc_Polynomial_Opoly( X ), Y, Z ) ) = c_Polynomial_Odegree( X, Y ) }.
% 0.96/1.49 { ! class_Groups_Ocomm__monoid__add( X ), ! c_Orderings_Oord__class_Oless(
% 0.96/1.49 tc_Nat_Onat, c_Polynomial_Odegree( X, Z ), c_Polynomial_Odegree( X, Y ) )
% 0.96/1.49 , c_Polynomial_Odegree( X, c_Groups_Oplus__class_Oplus(
% 0.96/1.49 tc_Polynomial_Opoly( X ), Z, Y ) ) = c_Polynomial_Odegree( X, Y ) }.
% 0.96/1.49 { ! class_Groups_Ocomm__monoid__add( X ), ! c_Orderings_Oord__class_Oless(
% 0.96/1.49 tc_Nat_Onat, c_Polynomial_Odegree( X, Z ), Y ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Polynomial_Odegree( X, T )
% 0.96/1.49 , Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Polynomial_Odegree(
% 0.96/1.49 X, c_Groups_Oplus__class_Oplus( tc_Polynomial_Opoly( X ), Z, T ) ), Y ) }
% 0.96/1.49 .
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__0( X ), c_Groups_Otimes__class_Otimes(
% 0.96/1.49 tc_Polynomial_Opoly( X ), c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Polynomial_Opoly( X ) ), Y ) = c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__0( X ), c_Groups_Otimes__class_Otimes(
% 0.96/1.49 tc_Polynomial_Opoly( X ), Y, c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Polynomial_Opoly( X ) ) ) = c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__idom( X ), ! c_Polynomial_Opos__poly( X, Y ),
% 0.96/1.49 ! c_Polynomial_Opos__poly( X, Z ), c_Polynomial_Opos__poly( X,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Polynomial_Opoly( X ), Y, Z ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__idom( X ), ! c_Polynomial_Opos__poly( X, Y ),
% 0.96/1.49 ! c_Polynomial_Opos__poly( X, Z ), c_Polynomial_Opos__poly( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Polynomial_Opoly( X ), Y, Z ) ) }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__1( X ), c_Polynomial_Odegree( X,
% 0.96/1.49 c_Groups_Oone__class_Oone( tc_Polynomial_Opoly( X ) ) ) =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.96/1.49 { ! class_Groups_Oab__group__add( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.96/1.49 ( tc_Nat_Onat, c_Polynomial_Odegree( X, Z ), Y ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Polynomial_Odegree( X,
% 0.96/1.49 T ), Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.49 c_Polynomial_Odegree( X, c_Groups_Ominus__class_Ominus(
% 0.96/1.49 tc_Polynomial_Opoly( X ), Z, T ) ), Y ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.96/1.49 ( tc_Polynomial_Opoly( X ), Z, Y ), Z = Y, c_Polynomial_Opos__poly( X,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Polynomial_Opoly( X ), Y, Z ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__idom( X ), ! Z = Y,
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Polynomial_Opoly( X ), Z, Y ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__idom( X ), ! c_Polynomial_Opos__poly( X,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Polynomial_Opoly( X ), Y, Z ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Polynomial_Opoly( X ), Z, Y ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X, Z,
% 0.96/1.49 Y ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.96/1.49 ( X, Y ) ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__idom( X ), Z = Y,
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.96/1.49 X, Y, Z ) }.
% 0.96/1.49 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ),
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, Y, X ) ),
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ) ) }.
% 0.96/1.49 { ! class_Rings_Oidom( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Polynomial_Opoly( X ) ), c_Orderings_Oord__class_Oless__eq(
% 0.96/1.49 tc_Nat_Onat, c_Polynomial_Oorder( X, Z, Y ), c_Polynomial_Odegree( X, Y )
% 0.96/1.49 ) }.
% 0.96/1.49 { ! class_Rings_Ono__zero__divisors( X ), ! c_Groups_Otimes__class_Otimes(
% 0.96/1.49 X, Z, Y ) = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.96/1.49 .
% 0.96/1.49 { ! class_Rings_Ono__zero__divisors( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.96/1.49 X ), Z = c_Groups_Ozero__class_Ozero( X ), !
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Y, Z ) = c_Groups_Ozero__class_Ozero( X
% 0.96/1.49 ) }.
% 0.96/1.49 { ! class_Rings_Oring__no__zero__divisors( X ), !
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.96/1.49 ), Z = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero
% 0.96/1.49 ( X ) }.
% 0.96/1.49 { ! class_Rings_Oring__no__zero__divisors( X ), ! Z =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.96/1.49 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.49 { ! class_Rings_Oring__no__zero__divisors( X ), ! Y =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.96/1.49 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.49 { ! class_Rings_Omult__zero( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.49 { ! class_Rings_Omult__zero( X ), c_Groups_Otimes__class_Otimes( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 }.
% 0.96/1.49 { ! class_Rings_Ozero__neq__one( X ), ! c_Groups_Ozero__class_Ozero( X ) =
% 0.96/1.49 c_Groups_Oone__class_Oone( X ) }.
% 0.96/1.49 { ! class_Rings_Ozero__neq__one( X ), ! c_Groups_Oone__class_Oone( X ) =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.96/1.49 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.96/1.49 { ! class_Rings_Osemiring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Oplus__class_Oplus( X
% 0.96/1.49 , c_Groups_Otimes__class_Otimes( X, Z, T ), Y ) ) =
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, U, Z ), T ), Y ) }.
% 0.96/1.49 { ! class_Rings_Odivision__ring__inverse__zero( X ),
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.96/1.49 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.49 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 }.
% 0.96/1.49 { ! class_Rings_Odivision__ring( X ), c_Groups_Otimes__class_Otimes( X, T,
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.96/1.49 Z ), Y ) }.
% 0.96/1.49 { ! class_Fields_Ofield__inverse__zero( X ), c_Groups_Otimes__class_Otimes
% 0.96/1.49 ( X, c_Rings_Oinverse__class_Odivide( X, U, T ),
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, c_Groups_Otimes__class_Otimes( X, U,
% 0.96/1.49 Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.96/1.49 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.96/1.49 ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ),
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.96/1.49 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( X, T, Z ), Y ) =
% 0.96/1.49 c_Groups_Ominus__class_Ominus( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.96/1.49 Y ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.96/1.49 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X, Y
% 0.96/1.49 , c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.96/1.49 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.96/1.49 ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.96/1.49 , c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero(
% 0.96/1.49 X ) ) }.
% 0.96/1.49 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.96/1.49 X ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero( X
% 0.96/1.49 ) ) }.
% 0.96/1.49 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.96/1.49 , c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.96/1.49 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.96/1.49 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.96/1.49 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.96/1.49 , Z, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.96/1.49 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.96/1.49 { ! class_Rings_Oordered__semiring( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.96/1.49 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.96/1.49 X ), U ), c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Z, U ), c_Groups_Otimes__class_Otimes(
% 0.96/1.49 X, Y, T ) ) }.
% 0.96/1.49 { ! class_Rings_Oordered__semiring( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.96/1.49 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.96/1.49 X ), U ), c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Z, U ), c_Groups_Otimes__class_Otimes(
% 0.96/1.49 X, Y, T ) ) }.
% 0.96/1.49 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.96/1.49 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.96/1.49 , c_Groups_Otimes__class_Otimes( X, T, Y ), c_Groups_Otimes__class_Otimes
% 0.96/1.49 ( X, T, Z ) ) }.
% 0.96/1.49 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.96/1.49 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.96/1.49 , c_Groups_Otimes__class_Otimes( X, Y, T ), c_Groups_Otimes__class_Otimes
% 0.96/1.49 ( X, Z, T ) ) }.
% 0.96/1.49 { ! class_Rings_Oordered__comm__semiring( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.96/1.49 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 0.96/1.49 X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.96/1.49 { ! class_Rings_Oordered__semiring( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.96/1.49 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 0.96/1.49 X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.96/1.49 { ! class_Rings_Oordered__semiring( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.96/1.49 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 0.96/1.49 X, Z, T ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.96/1.49 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.96/1.49 , Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.96/1.49 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.96/1.49 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.96/1.49 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Y, Z ), c_Groups_Ozero__class_Ozero( X
% 0.96/1.49 ) ) }.
% 0.96/1.49 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.96/1.49 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.96/1.49 , c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero(
% 0.96/1.49 X ) ) }.
% 0.96/1.49 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.96/1.49 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.96/1.49 , c_Groups_Otimes__class_Otimes( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 0.96/1.49 X ) ) }.
% 0.96/1.49 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.96/1.49 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.96/1.49 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Y, Z
% 0.96/1.49 ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.96/1.49 , Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha2( X, Y, Z ), alpha24( X
% 0.96/1.49 , Y, Z ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha2( X, Y, Z ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.96/1.49 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha24( X, Y, Z ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.96/1.49 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.96/1.49 { ! alpha24( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.96/1.49 { ! alpha24( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.96/1.49 ) ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.96/1.49 ( X ), Y ), alpha24( X, Y, Z ) }.
% 0.96/1.49 { ! alpha2( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.96/1.49 { ! alpha2( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 , Z ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ), alpha2( X, Y, Z ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), alpha3( X, Y, Z ), alpha25( X
% 0.96/1.49 , Y, Z ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha3( X, Y, Z ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha25( X, Y, Z ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.96/1.49 { ! alpha25( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.96/1.49 { ! alpha25( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.96/1.49 ) ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ), alpha25( X, Y, Z ) }.
% 0.96/1.49 { ! alpha3( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.96/1.49 { ! alpha3( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 , Z ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), Y ), alpha3( X, Y, Z ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__ring( X ), c_Orderings_Oord__class_Oless__eq(
% 0.96/1.49 X, c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Y
% 0.96/1.49 , Y ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, T, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, T, Z ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, T, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Z, T ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__comm__semiring__strict( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, c_Groups_Otimes__class_Otimes( X, Z, T ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.96/1.49 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.96/1.49 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.96/1.49 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.96/1.49 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.96/1.49 Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.96/1.49 ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.96/1.49 T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.96/1.49 ! c_Orderings_Oord__class_Oless( X, Z, T ), c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ) }
% 0.96/1.49 .
% 0.96/1.49 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ) }
% 0.96/1.49 .
% 0.96/1.49 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.96/1.49 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.96/1.49 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.96/1.49 Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.96/1.49 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.96/1.49 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.96/1.49 Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.96/1.49 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.96/1.49 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.96/1.49 ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.96/1.49 T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, T, Z ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.96/1.49 ! c_Orderings_Oord__class_Oless( X, T, Z ), c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.96/1.49 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ), alpha4( X, Y, Z, T ),
% 0.96/1.49 alpha26( X, Y, Z, T ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha4( X, Y, Z, T ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.96/1.49 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha26( X, Y, Z, T ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.96/1.49 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.96/1.49 { ! alpha26( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.96/1.49 { ! alpha26( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Ozero__class_Ozero( X ) )
% 0.96/1.49 , ! c_Orderings_Oord__class_Oless( X, Y, Z ), alpha26( X, Y, Z, T ) }.
% 0.96/1.49 { ! alpha4( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), T ) }.
% 0.96/1.49 { ! alpha4( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T )
% 0.96/1.49 , ! c_Orderings_Oord__class_Oless( X, Z, Y ), alpha4( X, Y, Z, T ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.96/1.49 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ), alpha5( X, Y, Z, T ),
% 0.96/1.49 alpha27( X, Y, Z, T ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha5( X, Y, Z, T ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.96/1.49 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha27( X, Y, Z, T ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.96/1.49 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.96/1.49 { ! alpha27( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Z,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.96/1.49 { ! alpha27( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Y, T ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.96/1.49 , ! c_Orderings_Oord__class_Oless( X, Y, T ), alpha27( X, Y, Z, T ) }.
% 0.96/1.49 { ! alpha5( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.96/1.49 { ! alpha5( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.96/1.49 , ! c_Orderings_Oord__class_Oless( X, T, Y ), alpha5( X, Y, Z, T ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__ring( X ), ! c_Orderings_Oord__class_Oless( X
% 0.96/1.49 , c_Groups_Otimes__class_Otimes( X, Y, Y ), c_Groups_Ozero__class_Ozero(
% 0.96/1.49 X ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, T, Z ), c_Orderings_Oord__class_Oless(
% 0.96/1.49 X, T, c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__semidom( X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.96/1.49 c_Groups_Oone__class_Oone( X ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__semidom( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.96/1.49 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, c_Groups_Oone__class_Oone( X ), c_Groups_Ozero__class_Ozero( X ) ) }
% 0.96/1.49 .
% 0.96/1.49 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, c_Groups_Oone__class_Oone( X ), Z ), c_Orderings_Oord__class_Oless(
% 0.96/1.49 X, c_Groups_Oone__class_Oone( X ), c_Groups_Otimes__class_Otimes( X, Y, Z
% 0.96/1.49 ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.96/1.49 , Y, c_Groups_Oplus__class_Oplus( X, Y, c_Groups_Oone__class_Oone( X ) )
% 0.96/1.49 ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.96/1.49 ( X, Y, T ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.96/1.49 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.96/1.49 ( X, Z, T ), c_Rings_Oinverse__class_Odivide( X, Y, T ) ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.96/1.49 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha6( X, Y, Z ), alpha28
% 0.96/1.49 ( X, Y, Z ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha6( X, Y, Z
% 0.96/1.49 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.96/1.49 ( X, Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha28( X, Y, Z
% 0.96/1.49 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.96/1.49 ( X, Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.96/1.49 { ! alpha28( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.96/1.49 { ! alpha28( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.96/1.49 ) ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.96/1.49 ( X ), Y ), alpha28( X, Y, Z ) }.
% 0.96/1.49 { ! alpha6( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.96/1.49 { ! alpha6( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 , Z ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ), alpha6( X, Y, Z ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ), alpha7( X, Y, Z ), alpha29
% 0.96/1.49 ( X, Y, Z ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha7( X, Y, Z
% 0.96/1.49 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.96/1.49 ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha29( X, Y, Z
% 0.96/1.49 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.96/1.49 ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.96/1.49 { ! alpha29( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.96/1.49 { ! alpha29( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.96/1.49 ) ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ), alpha29( X, Y, Z ) }.
% 0.96/1.49 { ! alpha7( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.96/1.49 { ! alpha7( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 , Z ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), Y ), alpha7( X, Y, Z ) }.
% 0.96/1.49 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.96/1.49 , Y ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ) = Y }.
% 0.96/1.49 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, W, Z
% 0.96/1.49 ), U ), T ) = Y, c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.96/1.49 , Y ) }.
% 0.96/1.49 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.96/1.49 , Y ), T = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes
% 0.96/1.49 ( X, c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) }.
% 0.96/1.49 { ! class_Rings_Oring( X ), ! T = c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, Z, W
% 0.96/1.49 ), U ), Y ), c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.96/1.49 , Y ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.96/1.49 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, Y, T ),
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.96/1.49 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless( X,
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, Z, T ),
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, Y, T ) ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.96/1.49 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, Z, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X
% 0.96/1.49 , Y, Z ) ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.96/1.49 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, c_Rings_Oinverse__class_Odivide( X, Y, Z ),
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.96/1.49 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, Z, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, c_Rings_Oinverse__class_Odivide( X, Y, Z ),
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.96/1.49 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X
% 0.96/1.49 , Y, Z ) ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Z,
% 0.96/1.49 Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha8( X, Y, Z ), alpha30( X, Y
% 0.96/1.49 , Z ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha8( X, Y, Z
% 0.96/1.49 ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X
% 0.96/1.49 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha30( X, Y, Z
% 0.96/1.49 ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X
% 0.96/1.49 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.96/1.49 { ! alpha30( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.96/1.49 { ! alpha30( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.96/1.49 , ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.96/1.49 ), alpha30( X, Y, Z ) }.
% 0.96/1.49 { ! alpha8( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.96/1.49 { ! alpha8( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.96/1.49 , ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 ), alpha8( X, Y, Z ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ), alpha9( X, Y, Z ), alpha31
% 0.96/1.49 ( X, Y, Z ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha9( X, Y, Z
% 0.96/1.49 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha31( X, Y, Z
% 0.96/1.49 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.96/1.49 { ! alpha31( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.96/1.49 { ! alpha31( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.96/1.49 , ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 ), alpha31( X, Y, Z ) }.
% 0.96/1.49 { ! alpha9( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.96/1.49 { ! alpha9( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.96/1.49 , ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.96/1.49 ), alpha9( X, Y, Z ) }.
% 0.96/1.49 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 , ! c_Groups_Otimes__class_Otimes( X, T, Y ) = Z, T =
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.96/1.49 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 , ! T = c_Groups_Otimes__class_Otimes( X, Z, Y ),
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z }.
% 0.96/1.49 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), ! c_Rings_Oinverse__class_Odivide( X, U
% 0.96/1.49 , Y ) = c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, U, Z ) = c_Groups_Otimes__class_Otimes
% 0.96/1.49 ( X, T, Y ) }.
% 0.96/1.49 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), ! c_Groups_Otimes__class_Otimes( X, U,
% 0.96/1.49 Z ) = c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, U, Y ) =
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.96/1.49 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Y, T ), c_Groups_Otimes__class_Otimes(
% 0.96/1.49 X, Y, Z ) ) = c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.96/1.49 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, T, Y ), c_Groups_Otimes__class_Otimes(
% 0.96/1.49 X, Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.96/1.49 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 , ! c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z, T =
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Z, Y ) }.
% 0.96/1.49 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 , ! T = c_Groups_Otimes__class_Otimes( X, Z, Y ),
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z }.
% 0.96/1.49 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 , ! T = c_Rings_Oinverse__class_Odivide( X, Z, Y ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, T, Y ) = Z }.
% 0.96/1.49 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 , ! c_Groups_Otimes__class_Otimes( X, T, Y ) = Z, T =
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.96/1.49 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y, alpha32( X, Y, Z, T ) }.
% 0.96/1.49 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y, alpha10( X, Y, Z ) }.
% 0.96/1.49 { ! class_Fields_Ofield__inverse__zero( X ), ! alpha32( X, Y, Z, T ), !
% 0.96/1.49 alpha10( X, Y, Z ), c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y }.
% 0.96/1.49 { ! alpha32( X, Y, Z, T ), Z = c_Groups_Ozero__class_Ozero( X ), T =
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Y, Z ) }.
% 0.96/1.49 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha32( X, Y, Z, T ) }.
% 0.96/1.49 { ! T = c_Groups_Otimes__class_Otimes( X, Y, Z ), alpha32( X, Y, Z, T ) }.
% 0.96/1.49 { ! alpha10( X, Y, Z ), ! Z = c_Groups_Ozero__class_Ozero( X ), Y =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.49 { Z = c_Groups_Ozero__class_Ozero( X ), alpha10( X, Y, Z ) }.
% 0.96/1.49 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha10( X, Y, Z ) }.
% 0.96/1.49 { ! class_Fields_Ofield__inverse__zero( X ), ! T =
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha33( X, Y, Z, T ) }.
% 0.96/1.49 { ! class_Fields_Ofield__inverse__zero( X ), ! T =
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha11( X, Y, T ) }.
% 0.96/1.49 { ! class_Fields_Ofield__inverse__zero( X ), ! alpha33( X, Y, Z, T ), !
% 0.96/1.49 alpha11( X, Y, T ), T = c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.96/1.49 { ! alpha33( X, Y, Z, T ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, T, Y ) = Z }.
% 0.96/1.49 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha33( X, Y, Z, T ) }.
% 0.96/1.49 { ! c_Groups_Otimes__class_Otimes( X, T, Y ) = Z, alpha33( X, Y, Z, T ) }.
% 0.96/1.49 { ! alpha11( X, Y, Z ), ! Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.49 { Y = c_Groups_Ozero__class_Ozero( X ), alpha11( X, Y, Z ) }.
% 0.96/1.49 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha11( X, Y, Z ) }.
% 0.96/1.49 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 , ! c_Rings_Oinverse__class_Odivide( X, Z, Y ) =
% 0.96/1.49 c_Groups_Oone__class_Oone( X ), Z = Y }.
% 0.96/1.49 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 , ! Z = Y, c_Rings_Oinverse__class_Odivide( X, Z, Y ) =
% 0.96/1.49 c_Groups_Oone__class_Oone( X ) }.
% 0.96/1.49 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 , c_Rings_Oinverse__class_Odivide( X, Y, Y ) = c_Groups_Oone__class_Oone
% 0.96/1.49 ( X ) }.
% 0.96/1.49 { ! class_Rings_Odivision__ring__inverse__zero( X ), ! Y =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.96/1.49 Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.49 { ! class_Rings_Odivision__ring__inverse__zero( X ), Y =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.96/1.49 Y ) = c_Groups_Oone__class_Oone( X ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 0.96/1.49 , Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 0.96/1.49 , Z ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.96/1.49 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.96/1.49 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__semiring( X ), ! c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, T, Y ) ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.96/1.49 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.96/1.49 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.96/1.49 ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__semiring( X ), ! c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Y, Z ) ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.96/1.49 ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, U, T ), ! c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.96/1.49 ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.96/1.49 , U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.96/1.49 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 , U ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X
% 0.96/1.49 , Z, U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, U, T ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.96/1.49 ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.96/1.49 , U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, U, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.96/1.49 ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.96/1.49 , U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.96/1.49 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.96/1.49 , Y, T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.96/1.49 ! c_Orderings_Oord__class_Oless__eq( X, Z, T ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Y
% 0.96/1.49 , T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.96/1.49 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.96/1.49 , Y, T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.96/1.49 ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Y
% 0.96/1.49 , T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.96/1.49 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.96/1.49 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Oone__class_Oone
% 0.96/1.49 ( X ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Z, Y ), Y ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.96/1.49 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.96/1.49 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Oone__class_Oone
% 0.96/1.49 ( X ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Y, Z ), Y ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.96/1.49 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ) ) }.
% 0.96/1.49 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.96/1.49 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U
% 0.96/1.49 ), T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.96/1.49 , Z, U ), Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ) }.
% 0.96/1.49 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.96/1.49 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.96/1.49 , Y ) ) }.
% 0.96/1.49 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.96/1.49 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U
% 0.96/1.49 ), T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.96/1.49 , Z, U ), Y ) ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ) }.
% 0.96/1.49 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.96/1.49 , T, c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.96/1.49 , Y ) ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.96/1.49 ) ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.96/1.49 X ), c_Rings_Oinverse__class_Odivide( X, Y, Z ) ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 , Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 0.96/1.49 X ) ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.96/1.49 ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.96/1.49 ! c_Orderings_Oord__class_Oless__eq( X, T, U ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.96/1.49 , Y, U ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.96/1.49 ), ! c_Orderings_Oord__class_Oless( X, Y, Z ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.96/1.49 ! c_Orderings_Oord__class_Oless__eq( X, T, U ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Y,
% 0.96/1.49 U ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.96/1.49 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Y, Z ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.96/1.49 ! c_Orderings_Oord__class_Oless( X, T, U ), c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, c_Rings_Oinverse__class_Odivide( X, Y, U ),
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.96/1.49 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.96/1.49 ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 0.96/1.49 X ) ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.96/1.49 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 , Z ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.96/1.49 ( X ), c_Rings_Oinverse__class_Odivide( X, Y, Z ) ) }.
% 0.96/1.49 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U )
% 0.96/1.49 , T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.96/1.49 Z, U ), Y ) ), c_Orderings_Oord__class_Oless( X,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ) }.
% 0.96/1.49 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.96/1.49 , Y ) ) }.
% 0.96/1.49 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U )
% 0.96/1.49 , T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.96/1.49 Z, U ), Y ) ), c_Orderings_Oord__class_Oless( X, T,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ) }.
% 0.96/1.49 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X, T
% 0.96/1.49 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.96/1.49 , Y ) ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.96/1.49 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.96/1.49 ) ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide(
% 0.96/1.49 X, T, Z ), c_Rings_Oinverse__class_Odivide( X, T, Y ) ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.96/1.49 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), T ), ! c_Orderings_Oord__class_Oless( X
% 0.96/1.49 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.96/1.49 Z ) ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide
% 0.96/1.49 ( X, T, Y ), c_Rings_Oinverse__class_Odivide( X, T, Z ) ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.96/1.49 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.96/1.49 ), T ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.96/1.49 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, c_Groups_Otimes__class_Otimes( X, Z, Y ), T ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.96/1.49 Y ), Z ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.96/1.49 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, T, c_Rings_Oinverse__class_Odivide( X, Z, Y ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X, T
% 0.96/1.49 , Y ) ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.96/1.49 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, Z, c_Groups_Otimes__class_Otimes( X, T, Y ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.96/1.49 Z, Y ) ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.96/1.49 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ), Z ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.96/1.49 Z, Y ) ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.96/1.49 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.96/1.49 Y ), Z ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.96/1.49 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.96/1.49 , Y ) ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.96/1.49 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.96/1.49 Y ), Z ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.96/1.49 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, T, c_Rings_Oinverse__class_Odivide( X, Z, Y ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Y
% 0.96/1.49 ), Z ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.96/1.49 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ), Z ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.96/1.49 Z, Y ) ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.96/1.49 Z ), Y ), alpha34( X, Y, Z, T ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.96/1.49 Z ), Y ), alpha44( X, Y, Z, T ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha34( X, Y, Z
% 0.96/1.49 , T ), ! alpha44( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, T, Z ), Y ) }.
% 0.96/1.49 { ! alpha44( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), Z ), alpha52( X, Y, Z, T ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.96/1.49 , alpha44( X, Y, Z, T ) }.
% 0.96/1.49 { ! alpha52( X, Y, Z, T ), alpha44( X, Y, Z, T ) }.
% 0.96/1.49 { ! alpha52( X, Y, Z, T ), alpha58( X, Y, Z, T ) }.
% 0.96/1.49 { ! alpha52( X, Y, Z, T ), alpha12( X, Y, Z ) }.
% 0.96/1.49 { ! alpha58( X, Y, Z, T ), ! alpha12( X, Y, Z ), alpha52( X, Y, Z, T ) }.
% 0.96/1.49 { ! alpha58( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Y, Z ), T ) }.
% 0.96/1.49 { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 0.96/1.49 alpha58( X, Y, Z, T ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.96/1.49 Z ), T ), alpha58( X, Y, Z, T ) }.
% 0.96/1.49 { ! alpha34( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless( X,
% 0.96/1.49 T, c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.96/1.49 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.96/1.49 alpha34( X, Y, Z, T ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X,
% 0.96/1.49 Y, Z ) ), alpha34( X, Y, Z, T ) }.
% 0.96/1.49 { ! alpha12( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.96/1.49 , alpha12( X, Y, Z ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.96/1.49 , alpha12( X, Y, Z ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.96/1.49 Z, Y ) ), alpha35( X, Y, Z, T ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.96/1.49 Z, Y ) ), alpha45( X, Y, Z, T ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha35( X, Y, Z
% 0.96/1.49 , T ), ! alpha45( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T,
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.96/1.49 { ! alpha45( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), Y ), alpha53( X, Y, Z, T ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.96/1.49 , alpha45( X, Y, Z, T ) }.
% 0.96/1.49 { ! alpha53( X, Y, Z, T ), alpha45( X, Y, Z, T ) }.
% 0.96/1.49 { ! alpha53( X, Y, Z, T ), alpha59( X, Y, Z, T ) }.
% 0.96/1.49 { ! alpha53( X, Y, Z, T ), alpha13( X, Y, T ) }.
% 0.96/1.49 { ! alpha59( X, Y, Z, T ), ! alpha13( X, Y, T ), alpha53( X, Y, Z, T ) }.
% 0.96/1.49 { ! alpha59( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Z,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.96/1.49 { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.96/1.49 alpha59( X, Y, Z, T ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X,
% 0.96/1.49 T, Y ) ), alpha59( X, Y, Z, T ) }.
% 0.96/1.49 { ! alpha35( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, T, Y ), Z ) }.
% 0.96/1.49 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.96/1.49 alpha35( X, Y, Z, T ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.96/1.49 Y ), Z ), alpha35( X, Y, Z, T ) }.
% 0.96/1.49 { ! alpha13( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Z,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.96/1.49 , alpha13( X, Y, Z ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.96/1.49 , alpha13( X, Y, Z ) }.
% 0.96/1.49 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, U, Y ),
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, T, Z ) ) =
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.96/1.49 X, T, Y ) ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.96/1.49 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, c_Rings_Oinverse__class_Odivide( X, T, Y
% 0.96/1.49 ), Z ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus
% 0.96/1.49 ( X, T, c_Groups_Otimes__class_Otimes( X, Y, Z ) ), Y ) }.
% 0.96/1.49 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) =
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), Y ) }.
% 0.96/1.49 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, T, c_Rings_Oinverse__class_Odivide( X, Z
% 0.96/1.49 , Y ) ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus
% 0.96/1.49 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ), Z ), Y ) }.
% 0.96/1.49 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, T,
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, T, Y ) ), Y ) }.
% 0.96/1.49 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ominus__class_Ominus( X,
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, U, Y ),
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, T, Z ) ) =
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.96/1.49 X, T, Y ) ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.96/1.49 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.96/1.49 c_Groups_Ominus__class_Ominus( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.96/1.49 Y ), Z ) = c_Rings_Oinverse__class_Odivide( X,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( X, T, c_Groups_Otimes__class_Otimes( X, Y
% 0.96/1.49 , Z ) ), Y ) }.
% 0.96/1.49 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.96/1.49 c_Groups_Ominus__class_Ominus( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.96/1.49 Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, Y, T
% 0.96/1.49 ), Z ), Y ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.96/1.49 X, Z, Y ), c_Orderings_Oord__class_Oless( X,
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.96/1.49 ), c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.96/1.49 c_Groups_Oone__class_Oone( X ) ) ), Y ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.96/1.49 X, Z, Y ), c_Orderings_Oord__class_Oless( X, Z,
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.96/1.49 ), c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.96/1.49 c_Groups_Oone__class_Oone( X ) ) ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__semiring__1( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, T, Y ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.96/1.49 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.96/1.49 X ), W ), ! c_Groups_Oplus__class_Oplus( X, U, W ) =
% 0.96/1.49 c_Groups_Oone__class_Oone( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Z )
% 0.96/1.49 , c_Groups_Otimes__class_Otimes( X, W, T ) ), Y ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.96/1.49 ( X, Z, Y ) ), alpha36( X, Y, Z, T ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.96/1.49 ( X, Z, Y ) ), alpha46( X, Y, Z, T ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha36( X, Y, Z
% 0.96/1.49 , T ), ! alpha46( X, Y, Z, T ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.96/1.49 { ! alpha46( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), Y ), alpha54( X, Y, Z, T ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.96/1.49 , alpha46( X, Y, Z, T ) }.
% 0.96/1.49 { ! alpha54( X, Y, Z, T ), alpha46( X, Y, Z, T ) }.
% 0.96/1.49 { ! alpha54( X, Y, Z, T ), alpha60( X, Y, Z, T ) }.
% 0.96/1.49 { ! alpha54( X, Y, Z, T ), alpha14( X, Y, T ) }.
% 0.96/1.49 { ! alpha60( X, Y, Z, T ), ! alpha14( X, Y, T ), alpha54( X, Y, Z, T ) }.
% 0.96/1.49 { ! alpha60( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.96/1.49 , Z, c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.96/1.49 { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.96/1.49 alpha60( X, Y, Z, T ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Otimes__class_Otimes
% 0.96/1.49 ( X, T, Y ) ), alpha60( X, Y, Z, T ) }.
% 0.96/1.49 { ! alpha36( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless__eq
% 0.96/1.49 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ), Z ) }.
% 0.96/1.49 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.96/1.49 alpha36( X, Y, Z, T ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.96/1.49 , T, Y ), Z ), alpha36( X, Y, Z, T ) }.
% 0.96/1.49 { ! alpha14( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.96/1.49 , Z, c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.96/1.49 , alpha14( X, Y, Z ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.96/1.49 ) ), alpha14( X, Y, Z ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.96/1.49 , T, Z ), Y ), alpha37( X, Y, Z, T ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.96/1.49 , T, Z ), Y ), alpha47( X, Y, Z, T ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha37( X, Y, Z
% 0.96/1.49 , T ), ! alpha47( X, Y, Z, T ), c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, T, Z ), Y ) }.
% 0.96/1.49 { ! alpha47( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), Z ), alpha55( X, Y, Z, T ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.96/1.49 , alpha47( X, Y, Z, T ) }.
% 0.96/1.49 { ! alpha55( X, Y, Z, T ), alpha47( X, Y, Z, T ) }.
% 0.96/1.49 { ! alpha55( X, Y, Z, T ), alpha61( X, Y, Z, T ) }.
% 0.96/1.49 { ! alpha55( X, Y, Z, T ), alpha15( X, Y, Z ) }.
% 0.96/1.49 { ! alpha61( X, Y, Z, T ), ! alpha15( X, Y, Z ), alpha55( X, Y, Z, T ) }.
% 0.96/1.49 { ! alpha61( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.96/1.49 , c_Groups_Otimes__class_Otimes( X, Y, Z ), T ) }.
% 0.96/1.49 { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 0.96/1.49 alpha61( X, Y, Z, T ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.96/1.49 , Y, Z ), T ), alpha61( X, Y, Z, T ) }.
% 0.96/1.49 { ! alpha37( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless__eq
% 0.96/1.49 ( X, T, c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.96/1.49 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.96/1.49 alpha37( X, Y, Z, T ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes
% 0.96/1.49 ( X, Y, Z ) ), alpha37( X, Y, Z, T ) }.
% 0.96/1.49 { ! alpha15( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.96/1.49 , c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.96/1.49 , alpha15( X, Y, Z ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 , Y ), alpha15( X, Y, Z ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.96/1.49 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.96/1.49 ( X, Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, T, Y ), Z ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.96/1.49 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 0.96/1.49 , Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.96/1.49 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.96/1.49 , T, Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.96/1.49 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes( X
% 0.96/1.49 , Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.96/1.49 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, Y, X ) ),
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ) ),
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__field( X ), c_Rings_Oinverse__class_Odivide( X
% 0.96/1.49 , c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, W,
% 0.96/1.49 U ), c_Groups_Otimes__class_Otimes( X, T, Z ) ), Y ) =
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W,
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X, U,
% 0.96/1.49 Z ), Y ) ), c_Groups_Otimes__class_Otimes( X,
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X, W,
% 0.96/1.49 T ), Y ), Z ) ) }.
% 0.96/1.49 { ! class_Rings_Oring__1( X ), c_Groups_Ominus__class_Ominus( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Y, Y ), c_Groups_Oone__class_Oone( X )
% 0.96/1.49 ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.96/1.49 , c_Groups_Oone__class_Oone( X ) ), c_Groups_Ominus__class_Ominus( X, Y,
% 0.96/1.49 c_Groups_Oone__class_Oone( X ) ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z )
% 0.96/1.49 , c_Groups_Otimes__class_Otimes( X, Y, Y ) ) ), ! Z =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 }.
% 0.96/1.49 { ! class_Rings_Olinordered__ring__strict( X ), Z =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.96/1.49 X, Y, Y ) ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__ring__strict( X ), Y =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.96/1.49 X, Y, Y ) ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__ring( X ), ! c_Orderings_Oord__class_Oless( X
% 0.96/1.49 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z
% 0.96/1.49 ), c_Groups_Otimes__class_Otimes( X, Y, Y ) ),
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.96/1.49 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.96/1.49 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ), Y ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.96/1.49 tc_Nat_Onat, Z, Y ), X ) }.
% 0.96/1.49 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.96/1.49 tc_Nat_Onat, Y, X ), X ) = Y }.
% 0.96/1.49 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.96/1.49 tc_Nat_Onat, Y, X ), Y ) = X }.
% 0.96/1.49 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.96/1.49 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.96/1.49 Z, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X ) }.
% 0.96/1.49 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.96/1.49 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) =
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) }.
% 0.96/1.49 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.96/1.49 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) =
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.96/1.49 tc_Nat_Onat, X, Z ), Y ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ),
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, Z ),
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) = Y }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) = X }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.96/1.49 tc_Nat_Onat, Z, X ), Y ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.96/1.49 tc_Nat_Onat, X, Y ), Y ) = X }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) = Z, X =
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), ! X =
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) = Z }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.96/1.49 tc_Nat_Onat, Z, X ), Y ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.96/1.49 tc_Nat_Onat, X, Y ), Z ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ), Y ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.96/1.49 tc_Nat_Onat, X, Z ), Y ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), Z ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X = Z }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), ! X = Z,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ),
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.96/1.49 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.96/1.49 ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ),
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ),
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ), X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, T ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, T ),
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Y ), Y = X }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, Z ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.96/1.49 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.96/1.49 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ), Z = X }.
% 0.96/1.49 { ! Z = X, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) }.
% 0.96/1.49 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ), Y = X }.
% 0.96/1.49 { ! Y = X, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) }.
% 0.96/1.49 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.96/1.49 tc_Nat_Onat, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.96/1.49 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.96/1.49 tc_Nat_Onat, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.96/1.49 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) =
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.96/1.49 tc_Nat_Onat, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) )
% 0.96/1.49 }.
% 0.96/1.49 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, c_Groups_Oplus__class_Oplus
% 0.96/1.49 ( tc_Nat_Onat, Y, X ) ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.96/1.49 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Y ) }.
% 0.96/1.49 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), X =
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol6( X, Y ) ) }.
% 0.96/1.49 { ! X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), X =
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol7( X, Y ) ) }.
% 0.96/1.49 { ! X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.96/1.49 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, X ) ) ) }.
% 0.96/1.49 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.96/1.49 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) }.
% 0.96/1.49 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, X ) ) }.
% 0.96/1.49 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, X ) }.
% 0.96/1.49 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Nat_Onat ), X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.96/1.49 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) = X }.
% 0.96/1.49 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, X ) =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.96/1.49 { ! c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), !
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y = X }.
% 0.96/1.49 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.96/1.49 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.96/1.49 { ! c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.96/1.49 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Nat_Onat ), X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.96/1.49 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.96/1.49 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.96/1.49 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.96/1.49 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.96/1.49 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ), Y = X, Z =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.96/1.49 { ! Y = X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 0.96/1.49 { ! Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 0.96/1.49 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ), Z = X, Y =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.96/1.49 { ! Z = X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 0.96/1.49 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 0.96/1.49 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Nat_Onat ), X ) = X }.
% 0.96/1.49 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, c_Groups_Ozero__class_Ozero
% 0.96/1.49 ( tc_Nat_Onat ) ) = X }.
% 0.96/1.49 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.96/1.49 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.96/1.49 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.96/1.49 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), ! X =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.96/1.49 tc_Nat_Onat, Y, X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.96/1.49 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = Y, X =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.96/1.49 { ! Y = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ), X =
% 0.96/1.49 c_Groups_Oone__class_Oone( tc_Nat_Onat ), Y = c_Groups_Ozero__class_Ozero
% 0.96/1.49 ( tc_Nat_Onat ) }.
% 0.96/1.49 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.96/1.49 { Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.96/1.49 ( tc_Nat_Onat, Y, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ), X ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Y ), Y = X }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Z ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, Z ) }.
% 0.96/1.49 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Y ) }.
% 0.96/1.49 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, X ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, X ) }.
% 0.96/1.49 { Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ), ! Y = X }.
% 0.96/1.49 { Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, X ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! X = Y }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.96/1.49 ( tc_Nat_Onat, Y, Z ), X ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.96/1.49 ( tc_Nat_Onat, Z, X ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.96/1.49 ) }.
% 0.96/1.49 { alpha62( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z ),
% 0.96/1.49 hBOOL( hAPP( hAPP( X, Y ), Z ) ) }.
% 0.96/1.49 { alpha62( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP
% 0.96/1.49 ( X, Y ), Z ) ) }.
% 0.96/1.49 { ! alpha62( X, Y, Z ), alpha63( X, Y, Z ), Z = Y }.
% 0.96/1.49 { ! alpha62( X, Y, Z ), alpha63( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z
% 0.96/1.49 ) ) }.
% 0.96/1.49 { ! alpha63( X, Y, Z ), alpha62( X, Y, Z ) }.
% 0.96/1.49 { ! Z = Y, hBOOL( hAPP( hAPP( X, Y ), Z ) ), alpha62( X, Y, Z ) }.
% 0.96/1.49 { ! alpha63( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y )
% 0.96/1.49 }.
% 0.96/1.49 { ! alpha63( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ), hBOOL( hAPP( hAPP(
% 0.96/1.49 X, Y ), Z ) ), alpha63( X, Y, Z ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.96/1.49 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.96/1.49 ( tc_Nat_Onat, Y, Z ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y
% 0.96/1.49 , X ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, T, X ) =
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.96/1.49 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.96/1.49 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.96/1.49 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.96/1.49 ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.96/1.49 tc_Nat_Onat, Y, T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }
% 0.96/1.49 .
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.96/1.49 ( tc_Nat_Onat, Y, Z ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z )
% 0.96/1.49 ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = X,
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.96/1.49 tc_Nat_Onat, Y, Z ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }
% 0.96/1.49 .
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.96/1.49 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) = Y }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.96/1.49 ( tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) )
% 0.96/1.49 , c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.96/1.49 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }
% 0.96/1.49 .
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.96/1.49 tc_Nat_Onat, Z, X ), Y ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.96/1.49 ( tc_Nat_Onat, Z, X ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z
% 0.96/1.49 , c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), Y = X }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.96/1.49 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = X,
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.96/1.49 ( tc_Nat_Onat, Y, X ), X ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.96/1.49 ( tc_Nat_Onat, Y, X ), Y ) }.
% 0.96/1.49 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, Y ), X ) =
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.96/1.49 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) =
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) }.
% 0.96/1.49 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.96/1.49 , Y ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Ominus__class_Ominus(
% 0.96/1.49 X, U, Z ), c_Groups_Ominus__class_Ominus( X, T, Y ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.96/1.49 { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Nat_Onat ), X ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.96/1.49 ( tc_Nat_Onat ), X ), ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }
% 0.96/1.49 .
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.96/1.49 ( tc_Nat_Onat ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Nat_Onat ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.96/1.49 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.96/1.49 ( tc_Nat_Onat, Y, X ), Y ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! X =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.96/1.49 { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Nat_Onat ), X ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.96/1.49 ( tc_Nat_Onat ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Nat_Onat ), Y ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.96/1.49 ( tc_Nat_Onat ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Nat_Onat ), X ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.96/1.49 ( tc_Nat_Onat ), Y ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Nat_Onat ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Nat_Onat ), Z ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.96/1.49 ( tc_Nat_Onat ), Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X
% 0.96/1.49 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Nat_Onat ), Y ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.96/1.49 ( tc_Nat_Onat ), Y ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X
% 0.96/1.49 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, Z ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.96/1.49 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.96/1.49 , ! alpha16( X, Y, Z ) }.
% 0.96/1.49 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.96/1.49 , ! alpha38( X, Y, Z ) }.
% 0.96/1.49 { alpha16( X, Y, Z ), alpha38( X, Y, Z ), hBOOL( hAPP( Z,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) ) }.
% 0.96/1.49 { ! alpha38( X, Y, Z ), ! hBOOL( hAPP( Z, skol8( T, U, Z ) ) ) }.
% 0.96/1.49 { ! alpha38( X, Y, Z ), Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.96/1.49 skol8( X, Y, Z ) ) }.
% 0.96/1.49 { ! Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, T ), hBOOL( hAPP( Z, T
% 0.96/1.49 ) ), alpha38( X, Y, Z ) }.
% 0.96/1.49 { ! alpha16( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X )
% 0.96/1.49 }.
% 0.96/1.49 { ! alpha16( X, Y, Z ), ! hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Nat_Onat ) ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), hBOOL( hAPP( Z,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), alpha16( X, Y, Z ) }.
% 0.96/1.49 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.96/1.49 , alpha17( X, Y, Z ) }.
% 0.96/1.49 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.96/1.49 , alpha39( X, Y, Z ) }.
% 0.96/1.49 { ! alpha17( X, Y, Z ), ! alpha39( X, Y, Z ), hBOOL( hAPP( Z,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) ) }.
% 0.96/1.49 { ! alpha39( X, Y, Z ), ! Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.96/1.49 T ), hBOOL( hAPP( Z, T ) ) }.
% 0.96/1.49 { ! hBOOL( hAPP( Z, skol9( T, U, Z ) ) ), alpha39( X, Y, Z ) }.
% 0.96/1.49 { Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, skol9( X, Y, Z ) ),
% 0.96/1.49 alpha39( X, Y, Z ) }.
% 0.96/1.49 { ! alpha17( X, Y, Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X
% 0.96/1.49 ), hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) }.
% 0.96/1.49 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), alpha17( X, Y, Z ) }
% 0.96/1.49 .
% 0.96/1.49 { ! hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), alpha17
% 0.96/1.49 ( X, Y, Z ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.96/1.49 ( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.96/1.49 ( tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.96/1.49 tc_Nat_Onat, Y, X ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.96/1.49 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.96/1.49 tc_Nat_Onat, Y, X ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X
% 0.96/1.49 ) }.
% 0.96/1.49 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X
% 0.96/1.49 ) }.
% 0.96/1.49 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), ! Y = X }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), Y = X,
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), Y = X }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.96/1.49 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.96/1.49 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ) =
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ), Z = Y }.
% 0.96/1.49 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! Z = Y,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ) =
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) }.
% 0.96/1.49 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ) =
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ), Z = Y }.
% 0.96/1.49 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! Z = Y,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ) =
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) }.
% 0.96/1.49 { ! c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) =
% 0.96/1.49 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, Y ),
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, X ) ) }.
% 0.96/1.49 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) = X }.
% 0.96/1.49 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, Y ), X ) =
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z )
% 0.96/1.49 , c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.96/1.49 .
% 0.96/1.49 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z )
% 0.96/1.49 , c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.96/1.49 .
% 0.96/1.49 { ! class_Rings_Olinordered__ring__strict( X ), ! Z =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z
% 0.96/1.49 ), c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.49 { ! class_Rings_Oring( X ), c_Groups_Ominus__class_Ominus( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.96/1.49 X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, U, c_Groups_Ominus__class_Ominus( X, T
% 0.96/1.49 , Y ) ), c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus
% 0.96/1.49 ( X, U, Z ), Y ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ), alpha18( X,
% 0.96/1.49 Y ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ), alpha40( X,
% 0.96/1.49 Y ) }.
% 0.96/1.49 { ! alpha18( X, Y ), ! alpha40( X, Y ), c_Orderings_Oord__class_Oless__eq(
% 0.96/1.49 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ) }.
% 0.96/1.49 { ! alpha40( X, Y ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), alpha40( X, Y ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), alpha40( X, Y ) }.
% 0.96/1.49 { ! alpha18( X, Y ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y
% 0.96/1.49 , c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), alpha18( X, Y ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), alpha18( X, Y ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ),
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ),
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.96/1.49 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.96/1.49 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.96/1.49 { ! Y = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! X =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.96/1.49 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, Y ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ), hAPP( Z, Y
% 0.96/1.49 ) ), c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y ) ), Y ) ) =
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ), hAPP( Z, Y
% 0.96/1.49 ) ), c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y ) ), X ) ) }
% 0.96/1.49 .
% 0.96/1.49 { ! class_Rings_Olinordered__ring( X ), c_Orderings_Oord__class_Oless__eq(
% 0.96/1.49 X, c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.96/1.49 X, Y, Y ) ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.96/1.49 X, Y, Y ) ), c_Groups_Ozero__class_Ozero( X ) ), Z =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.96/1.49 X, Y, Y ) ), c_Groups_Ozero__class_Ozero( X ) ), Y =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__ring__strict( X ), ! Z =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 , c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.96/1.49 X, Y, Y ) ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.96/1.49 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), T ),
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.96/1.49 tc_Nat_Onat, Y, U ), Z ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.96/1.49 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.96/1.49 , Z ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.96/1.49 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T ), Z ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.96/1.49 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), T ),
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.96/1.49 tc_Nat_Onat, Y, U ), Z ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.96/1.49 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), T ),
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.96/1.49 tc_Nat_Onat, X, U ), Z ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, T
% 0.96/1.49 , c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 0.96/1.49 ( tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z
% 0.96/1.49 ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.96/1.49 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 0.96/1.49 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.96/1.49 tc_Nat_Onat, Y, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ) ) }.
% 0.96/1.49 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ), X =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.96/1.49 { ! X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.96/1.49 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.96/1.49 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z
% 0.96/1.49 , Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__0( X ), c_Polynomial_Opcompose( X,
% 0.96/1.49 c_Polynomial_OpCons( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus(
% 0.96/1.49 tc_Polynomial_Opoly( X ), c_Polynomial_OpCons( X, T,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Polynomial_Opoly( X ), Y,
% 0.96/1.49 c_Polynomial_Opcompose( X, Z, Y ) ) ) }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Z, Y ), Y ) =
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.96/1.49 c_Groups_Oone__class_Oone( X ) ), Y ) }.
% 0.96/1.49 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) =
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 0.96/1.49 ( tc_Nat_Onat, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X )
% 0.96/1.49 ) }.
% 0.96/1.49 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.96/1.49 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.96/1.49 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 0.96/1.49 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.96/1.49 Z, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.96/1.49 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.96/1.49 c_Groups_Oone__class_Oone( tc_Nat_Onat ), Y = c_Groups_Oone__class_Oone(
% 0.96/1.49 tc_Nat_Onat ) }.
% 0.96/1.49 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.96/1.49 c_Groups_Oone__class_Oone( tc_Nat_Onat ), X = c_Groups_Oone__class_Oone(
% 0.96/1.49 tc_Nat_Onat ) }.
% 0.96/1.49 { ! Y = c_Groups_Oone__class_Oone( tc_Nat_Onat ), ! X =
% 0.96/1.49 c_Groups_Oone__class_Oone( tc_Nat_Onat ), c_Groups_Otimes__class_Otimes(
% 0.96/1.49 tc_Nat_Onat, Y, X ) = c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.96/1.49 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 0.96/1.49 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, c_Groups_Oone__class_Oone
% 0.96/1.49 ( tc_Nat_Onat ) ) = X }.
% 0.96/1.49 { ! c_Groups_Oone__class_Oone( tc_Nat_Onat ) =
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ), Y =
% 0.96/1.49 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.96/1.49 { ! c_Groups_Oone__class_Oone( tc_Nat_Onat ) =
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ), X =
% 0.96/1.49 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.96/1.49 { ! Y = c_Groups_Oone__class_Oone( tc_Nat_Onat ), ! X =
% 0.96/1.49 c_Groups_Oone__class_Oone( tc_Nat_Onat ), c_Groups_Oone__class_Oone(
% 0.96/1.49 tc_Nat_Onat ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) }.
% 0.96/1.49 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Oone__class_Oone(
% 0.96/1.49 tc_Nat_Onat ), X ) = X }.
% 0.96/1.49 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.96/1.49 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ), Y ) }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__0( X ), c_Polynomial_Opcompose( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), Y ) =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__0( X ), hAPP( c_Polynomial_Opoly( X,
% 0.96/1.49 c_Polynomial_Opcompose( X, T, Z ) ), Y ) = hAPP( c_Polynomial_Opoly( X, T
% 0.96/1.49 ), hAPP( c_Polynomial_Opoly( X, Z ), Y ) ) }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.96/1.49 Z, Y ) = c_Groups_Otimes__class_Otimes( X, Y, Z ) }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.96/1.49 T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Otimes__class_Otimes( X, T
% 0.96/1.49 , Y ) ) }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.96/1.49 T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.96/1.49 ), Y ) }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.96/1.49 , Y ) ) }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, T, Y
% 0.96/1.49 ), Z ) }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.96/1.49 X, Z, Y ) ) = c_Groups_Otimes__class_Otimes( X, U,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.96/1.49 , Y ) ) ) }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.96/1.49 X, Z, Y ) ) = c_Groups_Otimes__class_Otimes( X, Z,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, U, T
% 0.96/1.49 ), Y ) ) }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.96/1.49 X, Z, Y ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.96/1.49 X, T, Y ) ) }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Z
% 0.96/1.49 , Y ) = c_Groups_Oplus__class_Oplus( X, Y, Z ) }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, T
% 0.96/1.49 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.96/1.49 ( X, Z, c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, T
% 0.96/1.49 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.96/1.49 ( X, c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.96/1.49 ( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y ) ) }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.96/1.49 ( X, c_Groups_Oplus__class_Oplus( X, T, Y ), Z ) }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.96/1.49 , Y ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X
% 0.96/1.49 , U, Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.96/1.49 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ), Z =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y = X }.
% 0.96/1.49 { ! Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 0.96/1.49 { ! Y = X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 0.96/1.49 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.96/1.49 tc_Nat_Onat, T, Z ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, Z ), X ) ) =
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.96/1.49 tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, T, Y ), Z ), X ) }
% 0.96/1.49 .
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__0( X ), c_Orderings_Oord__class_Oless__eq
% 0.96/1.49 ( tc_Nat_Onat, c_Polynomial_Odegree( X, c_Polynomial_Opcompose( X, Z, Y )
% 0.96/1.49 ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Polynomial_Odegree( X,
% 0.96/1.49 Z ), c_Polynomial_Odegree( X, Y ) ) ) }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.96/1.49 Y, c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 }.
% 0.96/1.49 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.96/1.49 ( X ), ! Z = c_Groups_Oplus__class_Oplus( X, Z, Y ), Y =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.49 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.96/1.49 ( X ), ! Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, Z, Y ) }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.96/1.49 , c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.96/1.49 T, c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.96/1.49 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.96/1.49 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.96/1.49 ( X ), U = T, Z = Y, ! c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.96/1.49 X, T, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, U, Y ), c_Groups_Otimes__class_Otimes(
% 0.96/1.49 X, T, Z ) ) }.
% 0.96/1.49 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.96/1.49 ( X ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.96/1.49 U, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) =
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Y )
% 0.96/1.49 , c_Groups_Otimes__class_Otimes( X, T, Z ) ), ! U = T }.
% 0.96/1.49 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.96/1.49 ( X ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.96/1.49 U, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) =
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Y )
% 0.96/1.49 , c_Groups_Otimes__class_Otimes( X, T, Z ) ), ! Z = Y }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.96/1.49 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Groups_Otimes__class_Otimes(
% 0.96/1.49 X, Y, Z ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, T, Y ), Z ) }.
% 0.96/1.49 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.96/1.49 ( X ), ! c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.96/1.49 , U, T ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Y )
% 0.96/1.49 , c_Groups_Otimes__class_Otimes( X, Z, T ) ), U = Z, T = Y }.
% 0.96/1.49 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.96/1.49 ( X ), ! U = Z, c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.96/1.49 X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, U, Y ), c_Groups_Otimes__class_Otimes(
% 0.96/1.49 X, Z, T ) ) }.
% 0.96/1.49 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.96/1.49 ( X ), ! T = Y, c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.96/1.49 X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, U, Y ), c_Groups_Otimes__class_Otimes(
% 0.96/1.49 X, Z, T ) ) }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.96/1.49 c_Groups_Oone__class_Oone( X ), Y ) = Y }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.96/1.49 Y, c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.96/1.49 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.96/1.49 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y
% 0.96/1.49 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.96/1.49 ( tc_Nat_Onat ), X ), ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z
% 0.96/1.49 ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ), Z = Y }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.96/1.49 ( tc_Nat_Onat ), X ), ! Z = Y, c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 0.96/1.49 , X, Z ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.96/1.49 tc_Nat_Onat, X, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), Z ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.96/1.49 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.96/1.49 , Z ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.96/1.49 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.96/1.49 , Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.96/1.49 tc_Nat_Onat, X, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), Z ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.96/1.49 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), T ),
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.96/1.49 tc_Nat_Onat, Y, U ), Z ) ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.96/1.49 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.96/1.49 , Z ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.96/1.49 tc_Nat_Onat, X, U ), T ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), Z ),
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.96/1.49 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.96/1.49 = Z }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.96/1.49 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.96/1.49 = Z, c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), T ) =
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.96/1.49 tc_Nat_Onat, Y, U ), Z ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.96/1.49 tc_Nat_Onat, Y, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.96/1.49 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 0.96/1.49 ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.96/1.49 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 0.96/1.49 ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.96/1.49 tc_Nat_Onat, Y, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.96/1.49 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), T ),
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.96/1.49 tc_Nat_Onat, X, U ), Z ) ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.96/1.49 T, c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.96/1.49 ( tc_Nat_Onat, X, Y ), U ), Z ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.96/1.49 tc_Nat_Onat, Y, U ), T ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ), T =
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.96/1.49 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 0.96/1.49 }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), ! T =
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.96/1.49 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 0.96/1.49 , c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 0.96/1.49 ( tc_Nat_Onat, Y, U ), T ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ) }.
% 0.96/1.49 { c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ) ) =
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, Y ) }.
% 0.96/1.49 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.96/1.49 ( X ), Y = c_Groups_Ozero__class_Ozero( X ), ! W = U, T = Z, !
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, W, c_Groups_Otimes__class_Otimes( X, Y, T
% 0.96/1.49 ) ) = c_Groups_Oplus__class_Oplus( X, U, c_Groups_Otimes__class_Otimes(
% 0.96/1.49 X, Y, Z ) ) }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.96/1.49 , Y ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X
% 0.96/1.49 , c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ), Y ) }
% 0.96/1.49 .
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Z
% 0.96/1.49 , c_Groups_Otimes__class_Otimes( X, Y, Z ) ) =
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, Y,
% 0.96/1.49 c_Groups_Oone__class_Oone( X ) ), Z ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.96/1.49 , c_Groups_Oplus__class_Oplus( X, Y, Y ), c_Groups_Ozero__class_Ozero( X
% 0.96/1.49 ) ), c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X
% 0.96/1.49 ) ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.96/1.49 , Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.96/1.49 , c_Groups_Oplus__class_Oplus( X, Y, Y ), c_Groups_Ozero__class_Ozero( X
% 0.96/1.49 ) ) }.
% 0.96/1.49 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol10 ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ),
% 0.96/1.49 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.96/1.49 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_cs____ ), X ) ), skol10 ) }.
% 0.96/1.49 { c_Polynomial_Odegree( tc_Complex_Ocomplex, skol11 ) =
% 0.96/1.49 c_Polynomial_Odegree( tc_Complex_Ocomplex, v_p ) }.
% 0.96/1.49 { hAPP( c_Polynomial_Opoly( tc_Complex_Ocomplex, skol11 ), X ) = hAPP(
% 0.96/1.49 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ),
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, v_z, X ) ) }.
% 0.96/1.49 { ! class_Orderings_Opreorder( X ), c_Orderings_Oord__class_Oless__eq( X, Y
% 0.96/1.49 , Y ) }.
% 0.96/1.49 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.96/1.49 , Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.96/1.49 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.96/1.49 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.96/1.49 hAPP( Y, U ) ) }.
% 0.96/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.96/1.49 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.96/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.96/1.49 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Y = Z }.
% 0.96/1.49 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.96/1.49 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, T ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.96/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.96/1.49 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Z = Y }.
% 0.96/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.96/1.49 , Y ), ! Z = T, c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.96/1.49 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y
% 0.96/1.49 ), ! Y = T, c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.96/1.49 { ! class_Orderings_Oorder( X ), ! Z = Y, !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.96/1.49 { ! class_Orderings_Oord( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.96/1.49 ( X, Y, T ), c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.96/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.96/1.49 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Y = Z }.
% 0.96/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.96/1.49 , Y ), ! Y = Z, c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.96/1.49 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.96/1.49 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.96/1.49 hAPP( Y, U ) ) }.
% 0.96/1.49 { ! class_Orderings_Opreorder( X ), ! Z = Y,
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.96/1.49 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.96/1.49 ( X, Z, Y ) }.
% 0.96/1.49 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.96/1.49 ( X, Y, Z ) }.
% 0.96/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.96/1.49 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Z = Y }.
% 0.96/1.49 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.96/1.49 , Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.96/1.49 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.96/1.49 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.96/1.49 hAPP( Y, U ) ) }.
% 0.96/1.49 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, hAPP
% 0.96/1.49 ( Z, skol12( X, Y, Z ) ), hAPP( Y, skol12( X, Y, Z ) ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ) }.
% 0.96/1.49 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.96/1.49 Y ) }.
% 0.96/1.49 { ! class_Orderings_Olinorder( X ), Z = Y, c_Orderings_Oord__class_Oless( X
% 0.96/1.49 , Z, Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.96/1.49 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.96/1.49 Y ), ! Z = Y }.
% 0.96/1.49 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.96/1.49 Z ), ! Z = Y }.
% 0.96/1.49 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.96/1.49 ), c_Orderings_Oord__class_Oless( X, Y, Z ), Z = Y }.
% 0.96/1.49 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.96/1.49 Z ), ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.96/1.49 { ! class_Orderings_Olinorder( X ), ! Z = Y, !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.96/1.49 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.96/1.49 ), Z = Y, c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.96/1.49 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.96/1.49 ), c_Orderings_Oord__class_Oless( X, Y, Z ), Y = Z }.
% 0.96/1.49 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.96/1.49 ), ! Y = Z, ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.96/1.49 { ! class_Orderings_Olinorder( X ), Z = Y, c_Orderings_Oord__class_Oless( X
% 0.96/1.49 , Z, Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.96/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.96/1.49 , ! Z = Y }.
% 0.96/1.49 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.96/1.49 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.96/1.49 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.96/1.49 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.96/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.96/1.49 , ! Z = Y }.
% 0.96/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.96/1.49 , ! Y = Z }.
% 0.96/1.49 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.96/1.49 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.96/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.96/1.49 , ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.96/1.49 { ! class_Orderings_Oord( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless( X
% 0.96/1.49 , Y, T ), c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.96/1.49 { ! class_Orderings_Oorder( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless(
% 0.96/1.49 X, T, Y ), c_Orderings_Oord__class_Oless( X, T, Z ) }.
% 0.96/1.49 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y ),
% 0.96/1.49 ! Y = T, c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.96/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.96/1.49 , ! Z = T, c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.96/1.49 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.96/1.49 Y ), ! c_Orderings_Oord__class_Oless( X, Y, T ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.96/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.96/1.49 , ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.96/1.49 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.96/1.49 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.96/1.49 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.96/1.49 ), Z = Y, c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.96/1.49 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.96/1.49 ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.96/1.49 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.96/1.49 , Y, Z ), ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.96/1.49 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.96/1.49 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.96/1.49 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.96/1.49 Z ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.96/1.49 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.96/1.49 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.96/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.96/1.49 , c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.96/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.96/1.49 , ! Z = Y }.
% 0.96/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.96/1.49 , Y ), Z = Y, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.96/1.49 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.96/1.49 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.96/1.49 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.96/1.49 Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.96/1.49 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.96/1.49 , Z, Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.96/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.96/1.49 , Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.96/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.96/1.49 , c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.96/1.49 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.96/1.49 ( X, Z, Y ) }.
% 0.96/1.49 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.96/1.49 ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.96/1.49 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.96/1.49 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.96/1.49 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.96/1.49 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ), Z = Y }.
% 0.96/1.49 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.96/1.49 ), ! Z = Y, c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.96/1.49 { ! class_Orderings_Oorder( X ), Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.96/1.49 ( X, Z, Y ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.96/1.49 { ! class_Orderings_Oorder( X ), Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.96/1.49 ( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.96/1.49 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.96/1.49 , Z, Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.96/1.49 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.96/1.49 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.96/1.49 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.96/1.49 , Z, Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.96/1.49 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.96/1.49 , Z, Y ), ! Z = Y, ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.96/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.96/1.49 , Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.96/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.96/1.49 , Y ), Z = Y, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.96/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.96/1.49 , Y ), Y = Z, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.96/1.49 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.96/1.49 Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, T ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.96/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.96/1.49 , ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.96/1.49 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.96/1.49 , Z, Y ), ! c_Orderings_Oord__class_Oless( X, Y, T ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.96/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.96/1.49 , Y ), ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.96/1.49 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, Y, Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 , Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.49 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.96/1.49 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__field( X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol13( Z, T ) ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__field( X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.96/1.49 , Y ) ), c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( X, Z ), skol13( X, Y ) ) ) }.
% 0.96/1.49 { ! c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) =
% 0.96/1.49 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, X,
% 0.96/1.49 c_Groups_Oone__class_Oone( tc_Complex_Ocomplex ) ) ),
% 0.96/1.49 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X,
% 0.96/1.49 c_Groups_Oone__class_Oone( tc_Complex_Ocomplex ) ) ),
% 0.96/1.49 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, X, c_Complex_Oii ) ),
% 0.96/1.49 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, c_Complex_Oii ) )
% 0.96/1.49 , c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol14( Y ) ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.96/1.49 Z ) ), c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( X, Y ), c_RealVector_Onorm__class_Onorm
% 0.96/1.49 ( X, Z ) ), skol14( X ) ) ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol15( Z, T ) ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.96/1.49 Z ) ), c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( X, Z ), skol15( X, Y ) ) ) }.
% 0.96/1.49 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( tc_fun( T,
% 0.96/1.49 X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ) }
% 0.96/1.49 .
% 0.96/1.49 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( tc_fun( T,
% 0.96/1.49 X ), Z, Y ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Y, Z )
% 0.96/1.49 }.
% 0.96/1.49 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.96/1.49 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Y, Z
% 0.96/1.49 ), c_Orderings_Oord__class_Oless( tc_fun( T, X ), Z, Y ) }.
% 0.96/1.49 { ! c_Complex_Oii = c_Groups_Ozero__class_Ozero( tc_Complex_Ocomplex ) }.
% 0.96/1.49 { ! c_Complex_Oii = c_Groups_Oone__class_Oone( tc_Complex_Ocomplex ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol16( Z, T ) ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.96/1.49 Y ) ), c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( X, Z ), skol16( X, Y ) ) ) }.
% 0.96/1.49 { ! class_Fields_Ofield( X ), ! c_Polynomial_Opdivmod__rel( X, U, T, Z, Y )
% 0.96/1.49 , U = c_Groups_Oplus__class_Oplus( tc_Polynomial_Opoly( X ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Polynomial_Opoly( X ), Z, T ), Y ) }.
% 0.96/1.49 { ! class_Fields_Ofield( X ), ! c_Polynomial_Opdivmod__rel( X, U, T, Z, Y )
% 0.96/1.49 , alpha48( X, Y, Z, T ) }.
% 0.96/1.49 { ! class_Fields_Ofield( X ), ! U = c_Groups_Oplus__class_Oplus(
% 0.96/1.49 tc_Polynomial_Opoly( X ), c_Groups_Otimes__class_Otimes(
% 0.96/1.49 tc_Polynomial_Opoly( X ), Z, T ), Y ), ! alpha48( X, Y, Z, T ),
% 0.96/1.49 c_Polynomial_Opdivmod__rel( X, U, T, Z, Y ) }.
% 0.96/1.49 { ! alpha48( X, Y, Z, T ), alpha19( X, Z, T ) }.
% 0.96/1.49 { ! alpha48( X, Y, Z, T ), alpha41( X, Y, T ) }.
% 0.96/1.49 { ! alpha19( X, Z, T ), ! alpha41( X, Y, T ), alpha48( X, Y, Z, T ) }.
% 0.96/1.49 { ! alpha41( X, Y, Z ), Z = c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Polynomial_Opoly( X ) ), alpha49( X, Y, Z ) }.
% 0.96/1.49 { ! Z = c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), alpha41( X
% 0.96/1.49 , Y, Z ) }.
% 0.96/1.49 { ! alpha49( X, Y, Z ), alpha41( X, Y, Z ) }.
% 0.96/1.49 { ! alpha49( X, Y, Z ), Y = c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Polynomial_Opoly( X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.96/1.49 c_Polynomial_Odegree( X, Y ), c_Polynomial_Odegree( X, Z ) ) }.
% 0.96/1.49 { ! Y = c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), alpha49( X
% 0.96/1.49 , Y, Z ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Polynomial_Odegree( X, Y
% 0.96/1.49 ), c_Polynomial_Odegree( X, Z ) ), alpha49( X, Y, Z ) }.
% 0.96/1.49 { ! alpha19( X, Y, Z ), ! Z = c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Polynomial_Opoly( X ) ), Y = c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.49 { Z = c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), alpha19( X,
% 0.96/1.49 Y, Z ) }.
% 0.96/1.49 { ! Y = c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), alpha19( X
% 0.96/1.49 , Y, Z ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.96/1.49 { ! class_Fields_Ofield( X ), ! c_Polynomial_Opdivmod__rel( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), T, Z, Y ), Z =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.49 { ! class_Fields_Ofield( X ), ! c_Polynomial_Opdivmod__rel( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), T, Z, Y ), Y =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.49 { ! class_Fields_Ofield( X ), ! Z = c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Polynomial_Opoly( X ) ), ! Y = c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Polynomial_Opoly( X ) ), c_Polynomial_Opdivmod__rel( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), T, Z, Y ) }.
% 0.96/1.49 { ! class_Fields_Ofield( X ), ! c_Polynomial_Opdivmod__rel( X, T,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), Z, Y ), Z =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.49 { ! class_Fields_Ofield( X ), ! c_Polynomial_Opdivmod__rel( X, T,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), Z, Y ), Y = T }
% 0.96/1.49 .
% 0.96/1.49 { ! class_Fields_Ofield( X ), ! Z = c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Polynomial_Opoly( X ) ), ! Y = T, c_Polynomial_Opdivmod__rel( X, T,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), Z, Y ) }.
% 0.96/1.49 { ! class_Fields_Ofield( X ), c_Polynomial_Opdivmod__rel( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), Y,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ),
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ) }.
% 0.96/1.49 { ! class_Fields_Ofield( X ), c_Polynomial_Opdivmod__rel( X, Y,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ),
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), Y ) }.
% 0.96/1.49 { ! class_Fields_Ofield( X ), ! c_Polynomial_Opdivmod__rel( X, T, Z, Y, U )
% 0.96/1.49 , ! c_Polynomial_Opdivmod__rel( X, T, Z, W, V0 ), Y = W }.
% 0.96/1.49 { ! class_Fields_Ofield( X ), ! c_Polynomial_Opdivmod__rel( X, T, Z, U, Y )
% 0.96/1.49 , ! c_Polynomial_Opdivmod__rel( X, T, Z, V0, W ), Y = W }.
% 0.96/1.49 { ! class_Fields_Ofield( X ), ! c_Polynomial_Opdivmod__rel( X, U, T, Z, Y )
% 0.96/1.49 , ! c_Polynomial_Opdivmod__rel( X, U, T, V0, W ), Z = V0 }.
% 0.96/1.49 { ! class_Fields_Ofield( X ), ! c_Polynomial_Opdivmod__rel( X, U, T, Z, Y )
% 0.96/1.49 , ! c_Polynomial_Opdivmod__rel( X, U, T, V0, W ), Y = W }.
% 0.96/1.49 { ! class_Fields_Ofield( X ), ! c_Polynomial_Opdivmod__rel( X, U, T, Z, Y )
% 0.96/1.49 , ! c_Polynomial_Opdivmod__rel( X, Z, V1, V0, W ),
% 0.96/1.49 c_Polynomial_Opdivmod__rel( X, U, c_Groups_Otimes__class_Otimes(
% 0.96/1.49 tc_Polynomial_Opoly( X ), T, V1 ), V0, c_Groups_Oplus__class_Oplus(
% 0.96/1.49 tc_Polynomial_Opoly( X ), c_Groups_Otimes__class_Otimes(
% 0.96/1.49 tc_Polynomial_Opoly( X ), T, W ), Y ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.96/1.49 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol17( Z, T ) ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Z ), Y ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.96/1.49 c_Polynomial_Opoly( tc_Complex_Ocomplex, X ), Z ) ), skol17( X, Y ) ) }.
% 0.96/1.49 { hBOOL( hAPP( X, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), ! hBOOL(
% 0.96/1.49 hAPP( X, Y ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, skol18( Z, Y
% 0.96/1.49 ), Y ) }.
% 0.96/1.49 { hBOOL( hAPP( X, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), ! hBOOL(
% 0.96/1.49 hAPP( X, Y ) ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.96/1.49 skol18( X, Y ) ), ! hBOOL( hAPP( X, Z ) ) }.
% 0.96/1.49 { hBOOL( hAPP( X, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), ! hBOOL(
% 0.96/1.49 hAPP( X, Y ) ), hBOOL( hAPP( X, c_Groups_Oplus__class_Oplus( tc_Nat_Onat
% 0.96/1.49 , skol18( X, Y ), c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__field( X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol19( Z, T ) ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__field( X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.96/1.49 , Y ) ), c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( X, Z ), skol19( X, Y ) ) ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol20( Y ) ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.96/1.49 Z ) ), c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( X, Y ), c_RealVector_Onorm__class_Onorm
% 0.96/1.49 ( X, Z ) ), skol20( X ) ) ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol21( Z, T ) ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.96/1.49 Z ) ), c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( X, Z ), skol21( X, Y ) ) ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol22( Z, T ) ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.96/1.49 Y ) ), c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( X, Z ), skol22( X, Y ) ) ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.96/1.49 skol23( X, T, U ) ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, skol23( X, T, U ),
% 0.96/1.49 c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.96/1.49 , Y ) }.
% 0.96/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X,
% 0.96/1.49 skol23( X, Y, Z ), Z ), Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y )
% 0.96/1.49 }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__0( X ), c_Polynomial_Odegree( X,
% 0.96/1.49 c_Polynomial_Osynthetic__div( X, Z, Y ) ) = c_Groups_Ominus__class_Ominus
% 0.96/1.49 ( tc_Nat_Onat, c_Polynomial_Odegree( X, Z ), c_Groups_Oone__class_Oone(
% 0.96/1.49 tc_Nat_Onat ) ) }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__0( X ), ! c_Polynomial_Osynthetic__div( X
% 0.96/1.49 , Z, Y ) = c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ),
% 0.96/1.49 c_Polynomial_Odegree( X, Z ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.96/1.49 }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__0( X ), ! c_Polynomial_Odegree( X, Z ) =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Polynomial_Osynthetic__div
% 0.96/1.49 ( X, Z, Y ) = c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__0( X ), c_Polynomial_Osynthetic__div( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), Y ) =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.49 { ! class_Rings_Ocomm__semiring__0( X ), c_Polynomial_Osynthetic__div( X,
% 0.96/1.49 c_Polynomial_OpCons( X, T, Z ), Y ) = c_Polynomial_OpCons( X, hAPP(
% 0.96/1.49 c_Polynomial_Opoly( X, Z ), Y ), c_Polynomial_Osynthetic__div( X, Z, Y )
% 0.96/1.49 ) }.
% 0.96/1.49 { ! class_Rings_Ocomm__ring__1( X ), c_Groups_Oplus__class_Oplus(
% 0.96/1.49 tc_Polynomial_Opoly( X ), c_Groups_Otimes__class_Otimes(
% 0.96/1.49 tc_Polynomial_Opoly( X ), c_Polynomial_OpCons( X,
% 0.96/1.49 c_Groups_Ouminus__class_Ouminus( X, Z ), c_Polynomial_OpCons( X,
% 0.96/1.49 c_Groups_Oone__class_Oone( X ), c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Polynomial_Opoly( X ) ) ) ), c_Polynomial_Osynthetic__div( X, Y, Z ) )
% 0.96/1.49 , c_Polynomial_OpCons( X, hAPP( c_Polynomial_Opoly( X, Y ), Z ),
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ) ) = Y }.
% 0.96/1.49 { c_Complex_Oexpi( c_Groups_Ozero__class_Ozero( tc_Complex_Ocomplex ) ) =
% 0.96/1.49 c_Groups_Oone__class_Oone( tc_Complex_Ocomplex ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.96/1.49 c_RComplete_Onatceiling( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X
% 0.96/1.49 , c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) ) =
% 0.96/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_RComplete_Onatceiling( X ),
% 0.96/1.49 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) }.
% 0.96/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ouminus__class_Ouminus
% 0.96/1.49 ( X, Y ) ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.96/1.49 c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.96/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ouminus__class_Ouminus
% 0.96/1.49 ( X, Z ) ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.96/1.49 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.96/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.96/1.49 , Z ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.49 c_Groups_Ouminus__class_Ouminus( X, Y ), Z ) }.
% 0.96/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.96/1.49 , Y ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.49 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) }.
% 0.96/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.96/1.49 , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.96/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Y, Z ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.96/1.49 , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.96/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.96/1.49 , Y ), c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.96/1.49 { c_Groups_Otimes__class_Otimes( tc_Complex_Ocomplex, c_Complex_Oii,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( tc_Complex_Ocomplex, c_Complex_Oii, X ) )
% 0.96/1.49 = c_Groups_Ouminus__class_Ouminus( tc_Complex_Ocomplex, X ) }.
% 0.96/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_RComplete_Onatceiling(
% 0.96/1.49 Y ), c_RComplete_Onatceiling( X ) ) }.
% 0.96/1.49 { ! class_Rings_Oring( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.96/1.49 Y ) ) }.
% 0.96/1.49 { ! class_Rings_Oring( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.96/1.49 , Y ) }.
% 0.96/1.49 { ! class_Rings_Oring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.96/1.49 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) =
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.96/1.49 Y ) ) }.
% 0.96/1.49 { ! class_Rings_Oring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.96/1.49 c_Groups_Ouminus__class_Ouminus( X, Z ), c_Groups_Ouminus__class_Ouminus
% 0.96/1.49 ( X, Y ) ) = c_Groups_Otimes__class_Otimes( X, Z, Y ) }.
% 0.96/1.49 { ! class_Rings_Oidom( X ), ! c_Groups_Otimes__class_Otimes( X, Z, Z ) =
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Y, Y ), Z = Y, Z =
% 0.96/1.49 c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.96/1.49 { ! class_Rings_Oidom( X ), ! Z = Y, c_Groups_Otimes__class_Otimes( X, Z, Z
% 0.96/1.49 ) = c_Groups_Otimes__class_Otimes( X, Y, Y ) }.
% 0.96/1.49 { ! class_Rings_Oidom( X ), ! Z = c_Groups_Ouminus__class_Ouminus( X, Y ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Z, Z ) = c_Groups_Otimes__class_Otimes
% 0.96/1.49 ( X, Y, Y ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.96/1.49 , Y ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes
% 0.96/1.49 ( X, Z, Y ) ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.96/1.49 , Y ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes
% 0.96/1.49 ( X, Z, Y ) ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.96/1.49 Y ) ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes
% 0.96/1.49 ( X, Z, Y ) ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.96/1.49 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.96/1.49 Y ) ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes
% 0.96/1.49 ( X, Z, Y ) ) }.
% 0.96/1.49 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 c_Groups_Ouminus__class_Ouminus( X, Z ), c_Groups_Oplus__class_Oplus( X,
% 0.96/1.49 Z, Y ) ) = Y }.
% 0.96/1.49 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X, Z,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, c_Groups_Ouminus__class_Ouminus( X, Z ),
% 0.96/1.49 Y ) ) = Y }.
% 0.96/1.49 { ! class_Groups_Ogroup__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X
% 0.96/1.49 , c_Groups_Ouminus__class_Ouminus( X, Y ),
% 0.96/1.49 c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.96/1.49 { ! class_Groups_Oab__group__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.96/1.49 c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X
% 0.96/1.49 , c_Groups_Ouminus__class_Ouminus( X, Z ),
% 0.96/1.49 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.96/1.49 { ! class_Groups_Oab__group__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.96/1.49 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) =
% 0.96/1.49 c_Groups_Ominus__class_Ominus( X, Y, Z ) }.
% 0.96/1.49 { ! class_Fields_Ofield__inverse__zero( X ),
% 0.96/1.49 c_Groups_Ouminus__class_Ouminus( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.96/1.49 , Y ) ) = c_Rings_Oinverse__class_Odivide( X, Z,
% 0.96/1.49 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.96/1.49 { ! class_Rings_Odivision__ring( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X, Z
% 0.96/1.49 ), Y ) }.
% 0.96/1.49 { ! class_Fields_Ofield__inverse__zero( X ),
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X, Z
% 0.96/1.49 ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) =
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__field( X ),
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X, Z
% 0.96/1.49 ), Y ) = c_Groups_Ouminus__class_Ouminus( X,
% 0.96/1.49 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.96/1.49 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.96/1.49 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ouminus__class_Ouminus( X, Y
% 0.96/1.49 ) ) = c_RealVector_Onorm__class_Onorm( X, Y ) }.
% 0.96/1.49 { ! class_Groups_Oab__group__add( X ), c_Polynomial_Odegree( X,
% 0.96/1.49 c_Groups_Ouminus__class_Ouminus( tc_Polynomial_Opoly( X ), Y ) ) =
% 0.96/1.49 c_Polynomial_Odegree( X, Y ) }.
% 0.96/1.49 { ! class_Groups_Oab__group__add( X ), c_Groups_Ouminus__class_Ouminus(
% 0.96/1.49 tc_Polynomial_Opoly( X ), c_Polynomial_OpCons( X, Z, Y ) ) =
% 0.96/1.49 c_Polynomial_OpCons( X, c_Groups_Ouminus__class_Ouminus( X, Z ),
% 0.96/1.49 c_Groups_Ouminus__class_Ouminus( tc_Polynomial_Opoly( X ), Y ) ) }.
% 0.96/1.49 { ! class_Groups_Oab__group__add( X ), c_Groups_Ouminus__class_Ouminus(
% 0.96/1.49 tc_Polynomial_Opoly( X ), c_Polynomial_OpCons( X, Z, Y ) ) =
% 0.96/1.49 c_Polynomial_OpCons( X, c_Groups_Ouminus__class_Ouminus( X, Z ),
% 0.96/1.49 c_Groups_Ouminus__class_Ouminus( tc_Polynomial_Opoly( X ), Y ) ) }.
% 0.96/1.49 { ! class_Rings_Ocomm__ring( X ), hAPP( c_Polynomial_Opoly( X,
% 0.96/1.49 c_Groups_Ouminus__class_Ouminus( tc_Polynomial_Opoly( X ), Z ) ), Y ) =
% 0.96/1.49 c_Groups_Ouminus__class_Ouminus( X, hAPP( c_Polynomial_Opoly( X, Z ), Y )
% 0.96/1.49 ) }.
% 0.96/1.49 { ! class_Groups_Ogroup__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.96/1.49 c_Groups_Ouminus__class_Ouminus( X, Y ) ) = Y }.
% 0.96/1.49 { ! class_Groups_Ogroup__add( X ), ! Z = c_Groups_Ouminus__class_Ouminus( X
% 0.96/1.49 , Y ), Y = c_Groups_Ouminus__class_Ouminus( X, Z ) }.
% 0.96/1.49 { ! class_Groups_Ogroup__add( X ), ! Y = c_Groups_Ouminus__class_Ouminus( X
% 0.96/1.49 , Z ), Z = c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.96/1.49 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ouminus__class_Ouminus( X, Z
% 0.96/1.49 ) = Y, c_Groups_Ouminus__class_Ouminus( X, Y ) = Z }.
% 0.96/1.49 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ouminus__class_Ouminus( X, Y
% 0.96/1.49 ) = Z, c_Groups_Ouminus__class_Ouminus( X, Z ) = Y }.
% 0.96/1.49 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ouminus__class_Ouminus( X, Z
% 0.96/1.49 ) = c_Groups_Ouminus__class_Ouminus( X, Y ), Z = Y }.
% 0.96/1.49 { ! class_Groups_Ogroup__add( X ), ! Z = Y, c_Groups_Ouminus__class_Ouminus
% 0.96/1.49 ( X, Z ) = c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.96/1.49 { c_RComplete_Onatceiling( c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) )
% 0.96/1.49 = c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.96/1.49 { ! class_Groups_Oab__group__add( X ), c_Groups_Ouminus__class_Ouminus(
% 0.96/1.49 tc_Polynomial_Opoly( X ), c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Polynomial_Opoly( X ) ) ) = c_Groups_Ozero__class_Ozero(
% 0.96/1.49 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.96/1.49 Y ) ), c_Orderings_Oord__class_Oless( X, Y,
% 0.96/1.49 c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.96/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ouminus__class_Ouminus( X,
% 0.96/1.49 Z ) ), c_Orderings_Oord__class_Oless( X, Z,
% 0.96/1.49 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.96/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.96/1.49 , Y ), c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus
% 0.96/1.49 ( X, Y ), Z ) }.
% 0.96/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.96/1.49 , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus
% 0.96/1.49 ( X, Z ), Y ) }.
% 0.96/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.96/1.49 , c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.96/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, Y, Z ), c_Orderings_Oord__class_Oless(
% 0.96/1.49 X, c_Groups_Ouminus__class_Ouminus( X, Z ),
% 0.96/1.49 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.96/1.49 { ! class_Groups_Ogroup__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.49 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ozero__class_Ozero( X ) =
% 0.96/1.49 c_Groups_Ouminus__class_Ouminus( X, Y ), c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 = Y }.
% 0.96/1.49 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ozero__class_Ozero( X ) = Y,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) = c_Groups_Ouminus__class_Ouminus( X, Y
% 0.96/1.49 ) }.
% 0.96/1.49 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.96/1.49 c_Groups_Ouminus__class_Ouminus( X, Y ), Y = c_Groups_Ozero__class_Ozero
% 0.96/1.49 ( X ) }.
% 0.96/1.49 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ouminus__class_Ouminus( X
% 0.96/1.49 , Y ) }.
% 0.96/1.49 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ouminus__class_Ouminus( X, Y
% 0.96/1.49 ) = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X
% 0.96/1.49 ) }.
% 0.96/1.49 { ! class_Groups_Ogroup__add( X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.96/1.49 c_Groups_Ouminus__class_Ouminus( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.96/1.49 ) }.
% 0.96/1.49 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.96/1.49 c_Groups_Ouminus__class_Ouminus( X, Y ) = Y, Y =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.49 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.96/1.49 = Y }.
% 0.96/1.49 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_RComplete_Onatceiling( X )
% 0.96/1.49 ) }.
% 0.96/1.49 { c_RComplete_Onatceiling( c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal )
% 0.96/1.49 ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.96/1.49 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.96/1.49 , Y ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.96/1.49 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.96/1.49 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus
% 0.96/1.49 ( X, Y ), Y ) }.
% 0.96/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.96/1.49 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.96/1.49 ) }.
% 0.96/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.96/1.49 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus
% 0.96/1.49 ( X, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.96/1.49 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ouminus__class_Ouminus
% 0.96/1.49 ( X, Y ) ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.96/1.49 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.96/1.49 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.96/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.96/1.49 c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 ) }.
% 0.96/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.96/1.49 ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.96/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.96/1.49 c_Groups_Ouminus__class_Ouminus( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.96/1.49 ( X, Y, c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.96/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.96/1.49 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.96/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.96/1.49 , c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.96/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.96/1.49 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.96/1.49 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.96/1.49 , Y ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.96/1.49 , Y ) }.
% 0.96/1.49 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.96/1.49 , Y ) }.
% 0.96/1.49 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.96/1.49 , Y, c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 0.96/1.49 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ) }
% 0.96/1.49 .
% 0.96/1.49 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.96/1.49 , Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.96/1.49 , Y, c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.96/1.49 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Oplus__class_Oplus( X, Z, Y )
% 0.96/1.49 = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ouminus__class_Ouminus
% 0.96/1.49 ( X, Z ) }.
% 0.96/1.49 { ! class_Groups_Ogroup__add( X ), ! Y = c_Groups_Ouminus__class_Ouminus( X
% 0.96/1.49 , Z ), c_Groups_Oplus__class_Oplus( X, Z, Y ) =
% 0.96/1.49 c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.49 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Oplus__class_Oplus( X, Z, Y )
% 0.96/1.49 = c_Groups_Ozero__class_Ozero( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.96/1.50 Z ) = Y }.
% 0.96/1.50 { ! class_Groups_Oab__group__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.96/1.50 c_Groups_Ouminus__class_Ouminus( X, Y ), Y ) =
% 0.96/1.50 c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.50 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.96/1.50 c_Groups_Ouminus__class_Ouminus( X, Y ), Y ) =
% 0.96/1.50 c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.50 { ! class_Groups_Ogroup__add( X ), ! Z = c_Groups_Ouminus__class_Ouminus( X
% 0.96/1.50 , Y ), c_Groups_Oplus__class_Oplus( X, Z, Y ) =
% 0.96/1.50 c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.50 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Oplus__class_Oplus( X, Z, Y )
% 0.96/1.50 = c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ouminus__class_Ouminus
% 0.96/1.50 ( X, Y ) }.
% 0.96/1.50 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X, Y,
% 0.96/1.50 c_Groups_Ouminus__class_Ouminus( X, Y ) ) = c_Groups_Ozero__class_Ozero(
% 0.96/1.50 X ) }.
% 0.96/1.50 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ouminus__class_Ouminus(
% 0.96/1.50 X, Y ) }.
% 0.96/1.50 { ! class_Rings_Oring__1__no__zero__divisors( X ), !
% 0.96/1.50 c_Groups_Otimes__class_Otimes( X, Y, Y ) = c_Groups_Oone__class_Oone( X )
% 0.96/1.50 , Y = c_Groups_Oone__class_Oone( X ), Y = c_Groups_Ouminus__class_Ouminus
% 0.96/1.50 ( X, c_Groups_Oone__class_Oone( X ) ) }.
% 0.96/1.50 { ! class_Rings_Oring__1__no__zero__divisors( X ), ! Y =
% 0.96/1.50 c_Groups_Oone__class_Oone( X ), c_Groups_Otimes__class_Otimes( X, Y, Y )
% 0.96/1.50 = c_Groups_Oone__class_Oone( X ) }.
% 0.96/1.50 { ! class_Rings_Oring__1__no__zero__divisors( X ), ! Y =
% 0.96/1.50 c_Groups_Ouminus__class_Ouminus( X, c_Groups_Oone__class_Oone( X ) ),
% 0.96/1.50 c_Groups_Otimes__class_Otimes( X, Y, Y ) = c_Groups_Oone__class_Oone( X )
% 0.96/1.50 }.
% 0.96/1.50 { ! class_Rings_Ocomm__ring__1( X ), c_Groups_Ouminus__class_Ouminus( X, Y
% 0.96/1.50 ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X
% 0.96/1.50 , c_Groups_Oone__class_Oone( X ) ), Y ) }.
% 0.96/1.50 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Z,
% 0.96/1.50 c_Groups_Ouminus__class_Ouminus( X, Y ) ) = c_Groups_Oplus__class_Oplus(
% 0.96/1.50 X, Z, Y ) }.
% 0.96/1.50 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus( X, Z
% 0.96/1.50 , Y ) = c_Groups_Oplus__class_Oplus( X, Z,
% 0.96/1.50 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.96/1.50 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Z, Y )
% 0.96/1.50 = c_Groups_Oplus__class_Oplus( X, Z, c_Groups_Ouminus__class_Ouminus( X
% 0.96/1.50 , Y ) ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__ring__1( X ), c_Groups_Ominus__class_Ominus( X, Z, Y
% 0.96/1.50 ) = c_Groups_Oplus__class_Oplus( X, Z, c_Groups_Ouminus__class_Ouminus(
% 0.96/1.50 X, Y ) ) }.
% 0.96/1.50 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.96/1.50 , c_Groups_Ouminus__class_Ouminus( X, c_Rings_Oinverse__class_Odivide( X
% 0.96/1.50 , Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X, Z,
% 0.96/1.50 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.96/1.50 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.96/1.50 , c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X
% 0.96/1.50 , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) =
% 0.96/1.50 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.96/1.50 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ) ),
% 0.96/1.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) }.
% 0.96/1.50 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y,
% 0.96/1.50 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) =
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y = X }.
% 0.96/1.50 { ! Y = X, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y,
% 0.96/1.50 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) =
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.96/1.50 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) =
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X =
% 0.96/1.50 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) }.
% 0.96/1.50 { ! X = c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ),
% 0.96/1.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) =
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.96/1.50 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ) =
% 0.96/1.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y,
% 0.96/1.50 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) }.
% 0.96/1.50 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ) =
% 0.96/1.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y,
% 0.96/1.50 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) }.
% 0.96/1.50 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.96/1.50 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ),
% 0.96/1.50 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ) }.
% 0.96/1.50 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus(
% 0.96/1.50 tc_Polynomial_Opoly( X ), c_Groups_Ozero__class_Ozero(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ), Y ) = c_Groups_Ouminus__class_Ouminus(
% 0.96/1.50 tc_Polynomial_Opoly( X ), Y ) }.
% 0.96/1.50 { ! class_Rings_Olinordered__idom( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ), c_Polynomial_Opos__poly( X, Y ),
% 0.96/1.50 c_Polynomial_Opos__poly( X, c_Groups_Ouminus__class_Ouminus(
% 0.96/1.50 tc_Polynomial_Opoly( X ), Y ) ) }.
% 0.96/1.50 { c_Groups_Otimes__class_Otimes( tc_Complex_Ocomplex, c_Complex_Oii,
% 0.96/1.50 c_Complex_Oii ) = c_Groups_Ouminus__class_Ouminus( tc_Complex_Ocomplex,
% 0.96/1.50 c_Groups_Oone__class_Oone( tc_Complex_Ocomplex ) ) }.
% 0.96/1.50 { c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, Y, X ) =
% 0.96/1.50 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, Y,
% 0.96/1.50 c_Groups_Ouminus__class_Ouminus( tc_Complex_Ocomplex, X ) ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.96/1.50 c_RComplete_Onatceiling( X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.96/1.50 }.
% 0.96/1.50 { c_Complex_Oexpi( c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, Y, X )
% 0.96/1.50 ) = c_Groups_Otimes__class_Otimes( tc_Complex_Ocomplex, c_Complex_Oexpi
% 0.96/1.50 ( Y ), c_Complex_Oexpi( X ) ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.96/1.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ),
% 0.96/1.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), X ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), X ),
% 0.96/1.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.96/1.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.96/1.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.96/1.50 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.96/1.50 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ),
% 0.96/1.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.96/1.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ),
% 0.96/1.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), X ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), X ),
% 0.96/1.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.96/1.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.96/1.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.96/1.50 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.96/1.50 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ),
% 0.96/1.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_RComplete_Onatceiling
% 0.96/1.50 ( X ), c_Groups_Oone__class_Oone( tc_Nat_Onat ) ),
% 0.96/1.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.96/1.50 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.96/1.50 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.96/1.50 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_RComplete_Onatceiling(
% 0.96/1.50 X ), c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.96/1.50 c_RComplete_Onatfloor( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X,
% 0.96/1.50 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) ) =
% 0.96/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_RComplete_Onatfloor( X ),
% 0.96/1.50 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.96/1.50 tc_Nat_Onat, Y ), X ), ! c_Orderings_Oord__class_Oless__eq(
% 0.96/1.50 tc_RealDef_Oreal, X, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.96/1.50 c_RealDef_Oreal( tc_Nat_Onat, Y ), c_Groups_Oone__class_Oone(
% 0.96/1.50 tc_RealDef_Oreal ) ) ), c_RComplete_Onatceiling( X ) =
% 0.96/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, c_Groups_Oone__class_Oone(
% 0.96/1.50 tc_Nat_Onat ) ) }.
% 0.96/1.50 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.96/1.50 c_Groups_Ouminus__class_Ouminus( X, Z ), c_Groups_Ouminus__class_Ouminus
% 0.96/1.50 ( X, Y ) ) = c_Groups_Ouminus__class_Ouminus( X,
% 0.96/1.50 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) }.
% 0.96/1.50 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.96/1.50 tc_Nat_Onat, X ) ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.96/1.50 tc_Nat_Onat, Y ), X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 0.96/1.50 , c_RComplete_Onatfloor( X ) ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.96/1.50 tc_Nat_Onat, Y ), X ), c_RComplete_Onatfloor(
% 0.96/1.50 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, c_RealDef_Oreal(
% 0.96/1.50 tc_Nat_Onat, Y ) ) ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.96/1.50 c_RComplete_Onatfloor( X ), Y ) }.
% 0.96/1.50 { c_RComplete_Onatceiling( c_RealDef_Oreal( tc_Nat_Onat, X ) ) = X }.
% 0.96/1.50 { c_RComplete_Onatfloor( c_RealDef_Oreal( tc_Nat_Onat, X ) ) = X }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.96/1.50 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_RComplete_Onatfloor
% 0.96/1.50 ( X ) ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.50 c_RealDef_Oreal( tc_Nat_Onat, Y ), X ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.96/1.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.96/1.50 tc_Nat_Onat, Y ), X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 0.96/1.50 , c_RComplete_Onatfloor( X ) ) }.
% 0.96/1.50 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.96/1.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.96/1.50 tc_Nat_Onat, c_RComplete_Onatfloor( X ) ), c_Groups_Oone__class_Oone(
% 0.96/1.50 tc_RealDef_Oreal ) ) ) }.
% 0.96/1.50 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X,
% 0.96/1.50 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), c_RealDef_Oreal(
% 0.96/1.50 tc_Nat_Onat, c_RComplete_Onatfloor( X ) ) ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.96/1.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.96/1.50 tc_Nat_Onat, c_RComplete_Onatfloor( X ) ), X ) }.
% 0.96/1.50 { ! c_RealDef_Oreal( tc_Nat_Onat, Y ) = c_RealDef_Oreal( tc_Nat_Onat, X ),
% 0.96/1.50 Y = X }.
% 0.96/1.50 { ! Y = X, c_RealDef_Oreal( tc_Nat_Onat, Y ) = c_RealDef_Oreal( tc_Nat_Onat
% 0.96/1.50 , X ) }.
% 0.96/1.50 { c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.96/1.50 ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.96/1.50 { ! c_RealDef_Oreal( tc_Nat_Onat, X ) = c_Groups_Ozero__class_Ozero(
% 0.96/1.50 tc_RealDef_Oreal ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.96/1.50 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_RealDef_Oreal(
% 0.96/1.50 tc_Nat_Onat, X ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.96/1.50 tc_Nat_Onat, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.96/1.50 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ),
% 0.96/1.50 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.96/1.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.96/1.50 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.96/1.50 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ),
% 0.96/1.50 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.96/1.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.96/1.50 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.96/1.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, c_RealDef_Oreal(
% 0.96/1.50 tc_Nat_Onat, Y ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.96/1.50 c_RComplete_Onatfloor( X ), Y ) }.
% 0.96/1.50 { c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 0.96/1.50 , Y, X ) ) = c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.96/1.50 c_RealDef_Oreal( tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }
% 0.96/1.50 .
% 0.96/1.50 { c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y
% 0.96/1.50 , X ) ) = c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal
% 0.96/1.50 ( tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.96/1.50 c_RComplete_Onatfloor( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X,
% 0.96/1.50 c_RealDef_Oreal( tc_Nat_Onat, Y ) ) ) = c_Groups_Oplus__class_Oplus(
% 0.96/1.50 tc_Nat_Onat, c_RComplete_Onatfloor( X ), Y ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_RComplete_Onatfloor( Y ),
% 0.96/1.50 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ), X ),
% 0.96/1.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, c_RealDef_Oreal(
% 0.96/1.50 tc_Nat_Onat, X ) ) }.
% 0.96/1.50 { c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Oone__class_Oone( tc_Nat_Onat ) )
% 0.96/1.50 = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.96/1.50 tc_Nat_Onat, Y ), X ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal
% 0.96/1.50 , X, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.96/1.50 tc_Nat_Onat, Y ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) ),
% 0.96/1.50 c_RComplete_Onatfloor( X ) = Y }.
% 0.96/1.50 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, c_RealDef_Oreal(
% 0.96/1.50 tc_Nat_Onat, c_RComplete_Onatceiling( X ) ) ) }.
% 0.96/1.50 { c_RComplete_Onatfloor( c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) )
% 0.96/1.50 = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.96/1.50 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_RComplete_Onatfloor( X ) )
% 0.96/1.50 }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.96/1.50 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_RComplete_Onatfloor( Y
% 0.96/1.50 ), c_RComplete_Onatfloor( X ) ) }.
% 0.96/1.50 { c_RComplete_Onatfloor( c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) =
% 0.96/1.50 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.96/1.50 tc_Nat_Onat, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), X =
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.96/1.50 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.96/1.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.96/1.50 tc_Nat_Onat, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), c_RealDef_Oreal
% 0.96/1.50 ( tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 0.96/1.50 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.96/1.50 tc_Nat_Onat, X ), c_RealDef_Oreal( tc_Nat_Onat, Y ) ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, c_RealDef_Oreal
% 0.96/1.50 ( tc_Nat_Onat, X ) ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.50 c_RComplete_Onatceiling( Y ), X ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), c_RComplete_Onatfloor
% 0.96/1.50 ( X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.96/1.50 tc_Nat_Onat, X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.96/1.50 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.96/1.50 tc_Nat_Onat, X ) ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.96/1.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.96/1.50 tc_Nat_Onat, Y ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.96/1.50 c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.96/1.50 tc_Nat_Onat, Y ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.96/1.50 c_RealDef_Oreal( tc_Nat_Onat, X ) ), c_Orderings_Oord__class_Oless(
% 0.96/1.50 tc_Nat_Onat, Y, X ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.96/1.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.96/1.50 tc_Nat_Onat, Y ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.96/1.50 c_RealDef_Oreal( tc_Nat_Onat, X ), c_Groups_Oone__class_Oone(
% 0.96/1.50 tc_RealDef_Oreal ) ) ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.96/1.50 tc_Nat_Onat, Y ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.96/1.50 c_RealDef_Oreal( tc_Nat_Onat, X ), c_Groups_Oone__class_Oone(
% 0.96/1.50 tc_RealDef_Oreal ) ) ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 0.96/1.50 , X ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.96/1.50 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_RComplete_Onatceiling(
% 0.96/1.50 X ), Y ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.96/1.50 c_RealDef_Oreal( tc_Nat_Onat, Y ) ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.96/1.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, c_RealDef_Oreal(
% 0.96/1.50 tc_Nat_Onat, Y ) ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.50 c_RComplete_Onatceiling( X ), Y ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.96/1.50 tc_Nat_Onat, Y ), X ), c_RComplete_Onatceiling(
% 0.96/1.50 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, c_RealDef_Oreal(
% 0.96/1.50 tc_Nat_Onat, Y ) ) ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.96/1.50 c_RComplete_Onatceiling( X ), Y ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.50 c_Groups_Oone__class_Oone( tc_Nat_Onat ), c_RComplete_Onatfloor( X ) ),
% 0.96/1.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ),
% 0.96/1.50 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Groups_Oone__class_Oone
% 0.96/1.50 ( tc_Nat_Onat ), c_RComplete_Onatfloor( X ) ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.96/1.50 c_RComplete_Onatceiling( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X
% 0.96/1.50 , c_RealDef_Oreal( tc_Nat_Onat, Y ) ) ) = c_Groups_Oplus__class_Oplus(
% 0.96/1.50 tc_Nat_Onat, c_RComplete_Onatceiling( X ), Y ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.96/1.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.96/1.50 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_RComplete_Onatfloor( X ),
% 0.96/1.50 c_RComplete_Onatfloor( Y ) ), c_RComplete_Onatfloor(
% 0.96/1.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.96/1.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.96/1.50 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, skol24( X ),
% 0.96/1.50 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ), X ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.96/1.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, c_RealDef_Oreal(
% 0.96/1.50 tc_Nat_Onat, skol24( X ) ) ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ), !
% 0.96/1.50 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.96/1.50 tc_Nat_Onat ), Y ), c_RComplete_Onatfloor(
% 0.96/1.50 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, c_RealDef_Oreal(
% 0.96/1.50 tc_Nat_Onat, Y ) ) ) = c_Divides_Odiv__class_Odiv( tc_Nat_Onat,
% 0.96/1.50 c_RComplete_Onatfloor( X ), Y ) }.
% 0.96/1.50 { ! class_Lattices_Oboolean__algebra( X ), !
% 0.96/1.50 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.96/1.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.96/1.50 , Y ), c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.96/1.50 { ! Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.96/1.50 c_Divides_Odiv__class_Odiv( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.96/1.50 tc_Nat_Onat, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) )
% 0.96/1.50 = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.96/1.50 { Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.96/1.50 c_Divides_Odiv__class_Odiv( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.96/1.50 tc_Nat_Onat, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) )
% 0.96/1.50 = c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, X ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.96/1.50 ( tc_Nat_Onat ), X ), c_Divides_Odiv__class_Odiv( tc_Nat_Onat,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 0.96/1.50 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) =
% 0.96/1.50 c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Z, Y ) }.
% 0.96/1.50 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.96/1.50 tc_Nat_Onat, c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, X ) ),
% 0.96/1.50 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.96/1.50 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) ) }.
% 0.96/1.50 { ! class_Lattices_Oab__semigroup__idem__mult( X ),
% 0.96/1.50 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Otimes__class_Otimes( X, Z
% 0.96/1.50 , Y ) ) = c_Groups_Otimes__class_Otimes( X, Z, Y ) }.
% 0.96/1.50 { ! class_Lattices_Oab__semigroup__idem__mult( X ),
% 0.96/1.50 c_Groups_Otimes__class_Otimes( X, Y, Y ) = Y }.
% 0.96/1.50 { ! class_Lattices_Oab__semigroup__idem__mult( X ),
% 0.96/1.50 c_Groups_Otimes__class_Otimes( X, Y, Y ) = Y }.
% 0.96/1.50 { ! class_Groups_Ominus( X ), hAPP( c_Groups_Ominus__class_Ominus( tc_fun(
% 0.96/1.50 U, X ), T, Z ), Y ) = c_Groups_Ominus__class_Ominus( X, hAPP( T, Y ),
% 0.96/1.50 hAPP( Z, Y ) ) }.
% 0.96/1.50 { ! class_Lattices_Oboolean__algebra( X ), !
% 0.96/1.50 c_Groups_Ouminus__class_Ouminus( X, Z ) = c_Groups_Ouminus__class_Ouminus
% 0.96/1.50 ( X, Y ), Z = Y }.
% 0.96/1.50 { ! class_Lattices_Oboolean__algebra( X ), ! Z = Y,
% 0.96/1.50 c_Groups_Ouminus__class_Ouminus( X, Z ) = c_Groups_Ouminus__class_Ouminus
% 0.96/1.50 ( X, Y ) }.
% 0.96/1.50 { ! class_Groups_Ouminus( X ), hAPP( c_Groups_Ouminus__class_Ouminus(
% 0.96/1.50 tc_fun( T, X ), Z ), Y ) = c_Groups_Ouminus__class_Ouminus( X, hAPP( Z, Y
% 0.96/1.50 ) ) }.
% 0.96/1.50 { ! class_Lattices_Oboolean__algebra( X ), c_Groups_Ouminus__class_Ouminus
% 0.96/1.50 ( X, c_Groups_Ouminus__class_Ouminus( X, Y ) ) = Y }.
% 0.96/1.50 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.96/1.50 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.96/1.50 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.96/1.50 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ), c_RealDef_Oreal(
% 0.96/1.50 tc_Nat_Onat, c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, X ) ) ) ) }.
% 0.96/1.50 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.96/1.50 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.96/1.50 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ), c_RealDef_Oreal(
% 0.96/1.50 tc_Nat_Onat, c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, X ) ) ),
% 0.96/1.50 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.96/1.50 { ! class_Lattices_Oboolean__algebra( X ), !
% 0.96/1.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.96/1.50 , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 0.96/1.50 c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.96/1.50 { ! class_Lattices_Oboolean__algebra( X ), !
% 0.96/1.50 c_Orderings_Oord__class_Oless__eq( X, Y, Z ),
% 0.96/1.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.96/1.50 , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.96/1.50 { ! hBOOL( hAPP( Z, c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, X ) ) ),
% 0.96/1.50 alpha20( X, Z ) }.
% 0.96/1.50 { ! hBOOL( hAPP( Z, c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, X ) ) ),
% 0.96/1.50 alpha42( X, Y, Z ) }.
% 0.96/1.50 { ! alpha20( X, Z ), ! alpha42( X, Y, Z ), hBOOL( hAPP( Z,
% 0.96/1.50 c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, X ) ) ) }.
% 0.96/1.50 { ! alpha42( X, Y, Z ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.96/1.50 alpha50( X, Y, Z ) }.
% 0.96/1.50 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha42( X, Y, Z ) }.
% 0.96/1.50 { ! alpha50( X, Y, Z ), alpha42( X, Y, Z ) }.
% 0.96/1.50 { ! alpha50( X, Y, Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, X
% 0.96/1.50 ), alpha56( X, Y, Z, T ) }.
% 0.96/1.50 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, skol25( X, T, U ), X ),
% 0.96/1.50 alpha50( X, Y, Z ) }.
% 0.96/1.50 { ! alpha56( X, Y, Z, skol25( X, Y, Z ) ), alpha50( X, Y, Z ) }.
% 0.96/1.50 { ! alpha56( X, Y, Z, T ), ! Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), T ), hBOOL( hAPP( Z,
% 0.96/1.50 U ) ) }.
% 0.96/1.50 { ! hBOOL( hAPP( Z, skol26( U, W, Z, V0 ) ) ), alpha56( X, Y, Z, T ) }.
% 0.96/1.50 { Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, skol26( X, Y, Z, T ) ), T
% 0.96/1.50 ), alpha56( X, Y, Z, T ) }.
% 0.96/1.50 { ! alpha20( X, Y ), ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.96/1.50 hBOOL( hAPP( Y, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) }.
% 0.96/1.50 { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha20( X, Y ) }.
% 0.96/1.50 { ! hBOOL( hAPP( Y, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), alpha20
% 0.96/1.50 ( X, Y ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oone__class_Oone(
% 0.96/1.50 tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ),
% 0.96/1.50 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Divides_Odiv__class_Odiv(
% 0.96/1.50 tc_Nat_Onat, Y, X ), Y ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Odiv( X, Y,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Odiv( X,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.96/1.50 }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Odiv( X, Y,
% 0.96/1.50 c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.96/1.50 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.50 c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, X ), Y ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.96/1.50 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.50 c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, Z ),
% 0.96/1.50 c_Divides_Odiv__class_Odiv( tc_Nat_Onat, X, Z ) ) }.
% 0.96/1.50 { c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Z, c_Groups_Otimes__class_Otimes
% 0.96/1.50 ( tc_Nat_Onat, Y, X ) ) = c_Divides_Odiv__class_Odiv( tc_Nat_Onat,
% 0.96/1.50 c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Z, Y ), X ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), ! T = c_Groups_Ozero__class_Ozero( X
% 0.96/1.50 ), c_Divides_Odiv__class_Odiv( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.96/1.50 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) =
% 0.96/1.50 c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), T = c_Groups_Ozero__class_Ozero( X )
% 0.96/1.50 , c_Divides_Odiv__class_Odiv( X, c_Groups_Otimes__class_Otimes( X, T, Z )
% 0.96/1.50 , c_Groups_Otimes__class_Otimes( X, T, Y ) ) = c_Divides_Odiv__class_Odiv
% 0.96/1.50 ( X, Z, Y ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.96/1.50 , c_Divides_Odiv__class_Odiv( X, c_Groups_Otimes__class_Otimes( X, Z, Y )
% 0.96/1.50 , Y ) = Z }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.96/1.50 , c_Divides_Odiv__class_Odiv( X, c_Groups_Otimes__class_Otimes( X, Y, Z )
% 0.96/1.50 , Y ) = Z }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.96/1.50 , c_Divides_Odiv__class_Odiv( X, c_Groups_Otimes__class_Otimes( X, T, Y )
% 0.96/1.50 , c_Groups_Otimes__class_Otimes( X, Z, Y ) ) = c_Divides_Odiv__class_Odiv
% 0.96/1.50 ( X, T, Z ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.96/1.50 , c_Divides_Odiv__class_Odiv( X, c_Groups_Otimes__class_Otimes( X, Y, T )
% 0.96/1.50 , c_Groups_Otimes__class_Otimes( X, Y, Z ) ) = c_Divides_Odiv__class_Odiv
% 0.96/1.50 ( X, T, Z ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.96/1.50 , c_Divides_Odiv__class_Odiv( X, Y, Y ) = c_Groups_Oone__class_Oone( X )
% 0.96/1.50 }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.96/1.50 c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, X ) =
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.96/1.50 , c_Divides_Odiv__class_Odiv( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( X, Y, Z ) ), Y ) =
% 0.96/1.50 c_Groups_Oplus__class_Oplus( X, Z, c_Divides_Odiv__class_Odiv( X, T, Y )
% 0.96/1.50 ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.96/1.50 , c_Divides_Odiv__class_Odiv( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), Y ) =
% 0.96/1.50 c_Groups_Oplus__class_Oplus( X, Z, c_Divides_Odiv__class_Odiv( X, T, Y )
% 0.96/1.50 ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.96/1.50 , c_Divides_Odiv__class_Odiv( X, c_Groups_Oplus__class_Oplus( X, Z, Y ),
% 0.96/1.50 Y ) = c_Groups_Oplus__class_Oplus( X, c_Divides_Odiv__class_Odiv( X, Z, Y
% 0.96/1.50 ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.96/1.50 , c_Divides_Odiv__class_Odiv( X, c_Groups_Oplus__class_Oplus( X, Y, Z ),
% 0.96/1.50 Y ) = c_Groups_Oplus__class_Oplus( X, c_Divides_Odiv__class_Odiv( X, Z, Y
% 0.96/1.50 ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.96/1.50 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X
% 0.96/1.50 , Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.50 c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Z, Y ),
% 0.96/1.50 c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Z, X ) ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.96/1.50 ( tc_Nat_Onat ), X ), c_Divides_Odiv__class_Odiv( tc_Nat_Onat,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ), X ) = Y }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.96/1.50 ( tc_Nat_Onat ), X ), c_Divides_Odiv__class_Odiv( tc_Nat_Onat,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ), X ) = Y }.
% 0.96/1.50 { ! class_Rings_Olinordered__idom( X ), ! Y = c_Groups_Ozero__class_Ozero(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ), c_Groups_Osgn__class_Osgn(
% 0.96/1.50 tc_Polynomial_Opoly( X ), Y ) = c_Groups_Ozero__class_Ozero(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Rings_Olinordered__idom( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ), ! c_Orderings_Oord__class_Oless(
% 0.96/1.50 tc_Polynomial_Opoly( X ), c_Groups_Ozero__class_Ozero(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ), Y ), c_Groups_Osgn__class_Osgn(
% 0.96/1.50 tc_Polynomial_Opoly( X ), Y ) = c_Groups_Oone__class_Oone(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Rings_Olinordered__idom( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ), c_Orderings_Oord__class_Oless(
% 0.96/1.50 tc_Polynomial_Opoly( X ), c_Groups_Ozero__class_Ozero(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ), Y ), c_Groups_Osgn__class_Osgn(
% 0.96/1.50 tc_Polynomial_Opoly( X ), Y ) = c_Groups_Ouminus__class_Ouminus(
% 0.96/1.50 tc_Polynomial_Opoly( X ), c_Groups_Oone__class_Oone( tc_Polynomial_Opoly
% 0.96/1.50 ( X ) ) ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.96/1.50 ( tc_Nat_Onat ), X ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.96/1.50 c_RealDef_Oreal( tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) =
% 0.96/1.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.96/1.50 tc_Nat_Onat, c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, X ) ),
% 0.96/1.50 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.96/1.50 tc_Nat_Onat, c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ) ),
% 0.96/1.50 c_RealDef_Oreal( tc_Nat_Onat, X ) ) ) }.
% 0.96/1.50 { ! class_Fields_Ofield( X ), c_Divides_Odiv__class_Odiv(
% 0.96/1.50 tc_Polynomial_Opoly( X ), Z, c_Groups_Ouminus__class_Ouminus(
% 0.96/1.50 tc_Polynomial_Opoly( X ), Y ) ) = c_Groups_Ouminus__class_Ouminus(
% 0.96/1.50 tc_Polynomial_Opoly( X ), c_Divides_Odiv__class_Odiv( tc_Polynomial_Opoly
% 0.96/1.50 ( X ), Z, Y ) ) }.
% 0.96/1.50 { ! class_Fields_Ofield( X ), c_Divides_Odiv__class_Odiv(
% 0.96/1.50 tc_Polynomial_Opoly( X ), c_Groups_Ouminus__class_Ouminus(
% 0.96/1.50 tc_Polynomial_Opoly( X ), Z ), Y ) = c_Groups_Ouminus__class_Ouminus(
% 0.96/1.50 tc_Polynomial_Opoly( X ), c_Divides_Odiv__class_Odiv( tc_Polynomial_Opoly
% 0.96/1.50 ( X ), Z, Y ) ) }.
% 0.96/1.50 { c_Divides_Odiv__class_Odiv( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.96/1.50 tc_Nat_Onat, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.96/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Divides_Odiv__class_Odiv(
% 0.96/1.50 tc_Nat_Onat, Z, X ), c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, X ) ),
% 0.96/1.50 c_Divides_Odiv__class_Odiv( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.96/1.50 tc_Nat_Onat, c_Divides_Odiv__class_Omod( tc_Nat_Onat, Z, X ),
% 0.96/1.50 c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ) ), X ) ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Odiv( X,
% 0.96/1.50 c_Divides_Odiv__class_Omod( X, Z, Y ), Y ) = c_Groups_Ozero__class_Ozero
% 0.96/1.50 ( X ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X, Y,
% 0.96/1.50 c_Groups_Oone__class_Oone( X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.96/1.50 c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ) = Y }.
% 0.96/1.50 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.96/1.50 c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ) =
% 0.96/1.50 c_Divides_Odiv__class_Omod( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.96/1.50 tc_Nat_Onat, Y, X ), X ) }.
% 0.96/1.50 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.96/1.50 c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ) =
% 0.96/1.50 c_Divides_Odiv__class_Omod( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.96/1.50 tc_Nat_Onat, Y, X ), X ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.96/1.50 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.96/1.50 c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ), X ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.96/1.50 c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ) = Y }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X, Y, Y
% 0.96/1.50 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X, Y,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.96/1.50 }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.96/1.50 c_Groups_Oplus__class_Oplus( X, Z, Y ), Y ) = c_Divides_Odiv__class_Omod
% 0.96/1.50 ( X, Z, Y ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.96/1.50 c_Groups_Oplus__class_Oplus( X, Z, Y ), Z ) = c_Divides_Odiv__class_Omod
% 0.96/1.50 ( X, Y, Z ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.96/1.50 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Divides_Odiv__class_Omod
% 0.96/1.50 ( X, c_Groups_Oplus__class_Oplus( X, T, c_Divides_Odiv__class_Omod( X, Z
% 0.96/1.50 , Y ) ), Y ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.96/1.50 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Divides_Odiv__class_Omod
% 0.96/1.50 ( X, c_Groups_Oplus__class_Oplus( X, c_Divides_Odiv__class_Omod( X, T, Y
% 0.96/1.50 ), Z ), Y ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.96/1.50 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Divides_Odiv__class_Omod
% 0.96/1.50 ( X, c_Groups_Oplus__class_Oplus( X, c_Divides_Odiv__class_Omod( X, T, Y
% 0.96/1.50 ), c_Divides_Odiv__class_Omod( X, Z, Y ) ), Y ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.96/1.50 c_Groups_Oplus__class_Oplus( X, T, c_Divides_Odiv__class_Omod( X, Z, Y )
% 0.96/1.50 ), Y ) = c_Divides_Odiv__class_Omod( X, c_Groups_Oplus__class_Oplus( X,
% 0.96/1.50 T, Z ), Y ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.96/1.50 c_Groups_Oplus__class_Oplus( X, c_Divides_Odiv__class_Omod( X, T, Z ), Y
% 0.96/1.50 ), Z ) = c_Divides_Odiv__class_Omod( X, c_Groups_Oplus__class_Oplus( X,
% 0.96/1.50 T, Y ), Z ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), ! c_Divides_Odiv__class_Omod( X, T,
% 0.96/1.50 Z ) = c_Divides_Odiv__class_Omod( X, Y, Z ), ! c_Divides_Odiv__class_Omod
% 0.96/1.50 ( X, W, Z ) = c_Divides_Odiv__class_Omod( X, U, Z ),
% 0.96/1.50 c_Divides_Odiv__class_Omod( X, c_Groups_Oplus__class_Oplus( X, T, W ), Z
% 0.96/1.50 ) = c_Divides_Odiv__class_Omod( X, c_Groups_Oplus__class_Oplus( X, Y, U
% 0.96/1.50 ), Z ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.96/1.50 c_Divides_Odiv__class_Omod( X, Z, Y ), Y ) = c_Divides_Odiv__class_Omod(
% 0.96/1.50 X, Z, Y ) }.
% 0.96/1.50 { ! class_Divides_Oring__div( X ), ! c_Divides_Odiv__class_Omod( X, T, Z )
% 0.96/1.50 = c_Divides_Odiv__class_Omod( X, Y, Z ), ! c_Divides_Odiv__class_Omod( X
% 0.96/1.50 , W, Z ) = c_Divides_Odiv__class_Omod( X, U, Z ),
% 0.96/1.50 c_Divides_Odiv__class_Omod( X, c_Groups_Ominus__class_Ominus( X, T, W ),
% 0.96/1.50 Z ) = c_Divides_Odiv__class_Omod( X, c_Groups_Ominus__class_Ominus( X, Y
% 0.96/1.50 , U ), Z ) }.
% 0.96/1.50 { ! class_Divides_Oring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.96/1.50 c_Groups_Ominus__class_Ominus( X, T, Z ), Y ) =
% 0.96/1.50 c_Divides_Odiv__class_Omod( X, c_Groups_Ominus__class_Ominus( X,
% 0.96/1.50 c_Divides_Odiv__class_Omod( X, T, Y ), c_Divides_Odiv__class_Omod( X, Z,
% 0.96/1.50 Y ) ), Y ) }.
% 0.96/1.50 { ! class_Divides_Oring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.96/1.50 c_Groups_Ominus__class_Ominus( X, T, Z ), Y ) =
% 0.96/1.50 c_Divides_Odiv__class_Omod( X, c_Groups_Ominus__class_Ominus( X,
% 0.96/1.50 c_Divides_Odiv__class_Omod( X, T, Y ), Z ), Y ) }.
% 0.96/1.50 { ! class_Divides_Oring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.96/1.50 c_Groups_Ominus__class_Ominus( X, T, Z ), Y ) =
% 0.96/1.50 c_Divides_Odiv__class_Omod( X, c_Groups_Ominus__class_Ominus( X, T,
% 0.96/1.50 c_Divides_Odiv__class_Omod( X, Z, Y ) ), Y ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.96/1.50 c_Divides_Odiv__class_Omod( tc_Nat_Onat, X, Y ) =
% 0.96/1.50 c_Divides_Odiv__class_Omod( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.96/1.50 tc_Nat_Onat, X, Y ), Y ) }.
% 0.96/1.50 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.50 c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ), Y ) }.
% 0.96/1.50 { c_Divides_Odiv__class_Omod( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.96/1.50 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ), X ), Y )
% 0.96/1.50 = c_Divides_Odiv__class_Omod( tc_Nat_Onat, X, Y ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), ! c_Divides_Odiv__class_Omod( X, T,
% 0.96/1.50 Z ) = c_Divides_Odiv__class_Omod( X, Y, Z ), ! c_Divides_Odiv__class_Omod
% 0.96/1.50 ( X, W, Z ) = c_Divides_Odiv__class_Omod( X, U, Z ),
% 0.96/1.50 c_Divides_Odiv__class_Omod( X, c_Groups_Otimes__class_Otimes( X, T, W ),
% 0.96/1.50 Z ) = c_Divides_Odiv__class_Omod( X, c_Groups_Otimes__class_Otimes( X, Y
% 0.96/1.50 , U ), Z ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( X, c_Divides_Odiv__class_Omod( X, T, Z ),
% 0.96/1.50 Y ), Z ) = c_Divides_Odiv__class_Omod( X, c_Groups_Otimes__class_Otimes(
% 0.96/1.50 X, T, Y ), Z ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Groups_Otimes__class_Otimes(
% 0.96/1.50 X, Y, Z ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.96/1.50 c_Divides_Odiv__class_Omod( X, T, Y ), Z ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Groups_Otimes__class_Otimes(
% 0.96/1.50 X, T, Y ) ) = c_Groups_Otimes__class_Otimes( X, T,
% 0.96/1.50 c_Divides_Odiv__class_Omod( X, Z, Y ) ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.96/1.50 c_Divides_Odiv__class_Omod( X, c_Groups_Otimes__class_Otimes( X,
% 0.96/1.50 c_Divides_Odiv__class_Omod( X, T, Y ), c_Divides_Odiv__class_Omod( X, Z,
% 0.96/1.50 Y ) ), Y ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.96/1.50 c_Divides_Odiv__class_Omod( X, c_Groups_Otimes__class_Otimes( X,
% 0.96/1.50 c_Divides_Odiv__class_Omod( X, T, Y ), Z ), Y ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.96/1.50 c_Divides_Odiv__class_Omod( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.96/1.50 c_Divides_Odiv__class_Omod( X, Z, Y ) ), Y ) }.
% 0.96/1.50 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, c_Divides_Odiv__class_Omod
% 0.96/1.50 ( tc_Nat_Onat, Y, X ) ) = c_Divides_Odiv__class_Omod( tc_Nat_Onat,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.96/1.50 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.96/1.50 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Divides_Odiv__class_Omod(
% 0.96/1.50 tc_Nat_Onat, Z, Y ), X ) = c_Divides_Odiv__class_Omod( tc_Nat_Onat,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ),
% 0.96/1.50 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.96/1.50 c_Groups_Oplus__class_Oplus( X, T, c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.96/1.50 ) ), Z ) = c_Divides_Odiv__class_Omod( X, T, Z ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.96/1.50 c_Groups_Oplus__class_Oplus( X, T, c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.96/1.50 ) ), Y ) = c_Divides_Odiv__class_Omod( X, T, Y ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( X, Z, Y ), Y ) =
% 0.96/1.50 c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( X, Z, Y ), Z ) =
% 0.96/1.50 c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.50 { ! c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ) =
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y =
% 0.96/1.50 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, skol27( X, Y ) ) }.
% 0.96/1.50 { ! Y = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 0.96/1.50 c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ) =
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.96/1.50 { ! class_Divides_Oring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.96/1.50 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) = c_Divides_Odiv__class_Omod
% 0.96/1.50 ( X, c_Groups_Ouminus__class_Ouminus( X, c_Divides_Odiv__class_Omod( X, Z
% 0.96/1.50 , Y ) ), Y ) }.
% 0.96/1.50 { ! class_Divides_Oring__div( X ), ! c_Divides_Odiv__class_Omod( X, T, Z )
% 0.96/1.50 = c_Divides_Odiv__class_Omod( X, Y, Z ), c_Divides_Odiv__class_Omod( X,
% 0.96/1.50 c_Groups_Ouminus__class_Ouminus( X, T ), Z ) = c_Divides_Odiv__class_Omod
% 0.96/1.50 ( X, c_Groups_Ouminus__class_Ouminus( X, Y ), Z ) }.
% 0.96/1.50 { ! class_RealVector_Oreal__normed__vector( X ), c_Groups_Osgn__class_Osgn
% 0.96/1.50 ( X, c_Groups_Ouminus__class_Ouminus( X, Y ) ) =
% 0.96/1.50 c_Groups_Ouminus__class_Ouminus( X, c_Groups_Osgn__class_Osgn( X, Y ) ) }
% 0.96/1.50 .
% 0.96/1.50 { ! class_RealVector_Oreal__normed__div__algebra( X ),
% 0.96/1.50 c_Groups_Osgn__class_Osgn( X, c_Groups_Otimes__class_Otimes( X, Z, Y ) )
% 0.96/1.50 = c_Groups_Otimes__class_Otimes( X, c_Groups_Osgn__class_Osgn( X, Z ),
% 0.96/1.50 c_Groups_Osgn__class_Osgn( X, Y ) ) }.
% 0.96/1.50 { ! class_Rings_Olinordered__idom( X ), c_Groups_Osgn__class_Osgn( X,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.96/1.50 c_Groups_Otimes__class_Otimes( X, c_Groups_Osgn__class_Osgn( X, Z ),
% 0.96/1.50 c_Groups_Osgn__class_Osgn( X, Y ) ) }.
% 0.96/1.50 { ! class_RealVector_Oreal__normed__algebra__1( X ),
% 0.96/1.50 c_Groups_Osgn__class_Osgn( X, c_Groups_Oone__class_Oone( X ) ) =
% 0.96/1.50 c_Groups_Oone__class_Oone( X ) }.
% 0.96/1.50 { ! class_Rings_Olinordered__idom( X ), c_Groups_Osgn__class_Osgn( X,
% 0.96/1.50 c_Groups_Osgn__class_Osgn( X, Y ) ) = c_Groups_Osgn__class_Osgn( X, Y ) }
% 0.96/1.50 .
% 0.96/1.50 { ! class_Groups_Osgn__if( X ), c_Groups_Osgn__class_Osgn( X,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.50 { ! class_RealVector_Oreal__normed__vector( X ), c_Groups_Osgn__class_Osgn
% 0.96/1.50 ( X, c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X
% 0.96/1.50 ) }.
% 0.96/1.50 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.96/1.50 c_Groups_Osgn__class_Osgn( X, Y ) = c_Groups_Ozero__class_Ozero( X ), Y =
% 0.96/1.50 c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.50 { ! class_RealVector_Oreal__normed__vector( X ), ! Y =
% 0.96/1.50 c_Groups_Ozero__class_Ozero( X ), c_Groups_Osgn__class_Osgn( X, Y ) =
% 0.96/1.50 c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.50 { ! class_Rings_Olinordered__idom( X ), ! c_Groups_Osgn__class_Osgn( X, Y )
% 0.96/1.50 = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.96/1.50 }.
% 0.96/1.50 { ! class_Rings_Olinordered__idom( X ), ! Y = c_Groups_Ozero__class_Ozero(
% 0.96/1.50 X ), c_Groups_Osgn__class_Osgn( X, Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.96/1.50 }.
% 0.96/1.50 { ! class_Fields_Ofield( X ), ! c_Polynomial_Opdivmod__rel( X, T, Z, Y, U )
% 0.96/1.50 , c_Divides_Odiv__class_Odiv( tc_Polynomial_Opoly( X ), T, Z ) = Y }.
% 0.96/1.50 { ! class_Fields_Ofield( X ), c_Divides_Odiv__class_Odiv(
% 0.96/1.50 tc_Polynomial_Opoly( X ), T, c_Groups_Otimes__class_Otimes(
% 0.96/1.50 tc_Polynomial_Opoly( X ), Z, Y ) ) = c_Divides_Odiv__class_Odiv(
% 0.96/1.50 tc_Polynomial_Opoly( X ), c_Divides_Odiv__class_Odiv( tc_Polynomial_Opoly
% 0.96/1.50 ( X ), T, Z ), Y ) }.
% 0.96/1.50 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.96/1.50 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Osgn__class_Osgn( X, Y ) ),
% 0.96/1.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ) }
% 0.96/1.50 .
% 0.96/1.50 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.96/1.50 , c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X
% 0.96/1.50 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Osgn__class_Osgn( X, Y ) ) }
% 0.96/1.50 .
% 0.96/1.50 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.96/1.50 , c_Groups_Osgn__class_Osgn( X, Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.96/1.50 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ) }
% 0.96/1.50 .
% 0.96/1.50 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.96/1.50 , Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.96/1.50 , c_Groups_Osgn__class_Osgn( X, Y ), c_Groups_Ozero__class_Ozero( X ) ) }
% 0.96/1.50 .
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), c_Groups_Oplus__class_Oplus( X,
% 0.96/1.50 c_Divides_Odiv__class_Omod( X, Z, Y ), c_Groups_Otimes__class_Otimes( X,
% 0.96/1.50 c_Divides_Odiv__class_Odiv( X, Z, Y ), Y ) ) = Z }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), c_Groups_Oplus__class_Oplus( X,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( X, Z, c_Divides_Odiv__class_Odiv( X, Y, Z
% 0.96/1.50 ) ), c_Divides_Odiv__class_Omod( X, Y, Z ) ) = Y }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), c_Groups_Oplus__class_Oplus( X,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( X, c_Divides_Odiv__class_Odiv( X, Z, Y ),
% 0.96/1.50 Y ), c_Divides_Odiv__class_Omod( X, Z, Y ) ) = Z }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), c_Groups_Oplus__class_Oplus( X,
% 0.96/1.50 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.96/1.50 c_Divides_Odiv__class_Odiv( X, Z, T ) ), c_Divides_Odiv__class_Omod( X, Z
% 0.96/1.50 , T ) ), Y ) = c_Groups_Oplus__class_Oplus( X, Z, Y ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), c_Groups_Oplus__class_Oplus( X,
% 0.96/1.50 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.96/1.50 c_Divides_Odiv__class_Odiv( X, T, Z ), Z ), c_Divides_Odiv__class_Omod( X
% 0.96/1.50 , T, Z ) ), Y ) = c_Groups_Oplus__class_Oplus( X, T, Y ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.96/1.50 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.96/1.50 c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ), X ) }.
% 0.96/1.50 { c_Divides_Odiv__class_Odiv( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.96/1.50 tc_Nat_Onat, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, c_Divides_Odiv__class_Odiv
% 0.96/1.50 ( tc_Nat_Onat, Y, X ) ), c_Divides_Odiv__class_Odiv( tc_Nat_Onat,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, c_Divides_Odiv__class_Omod
% 0.96/1.50 ( tc_Nat_Onat, Y, X ) ), X ) ) }.
% 0.96/1.50 { c_Divides_Odiv__class_Omod( tc_Nat_Onat, Z, c_Groups_Otimes__class_Otimes
% 0.96/1.50 ( tc_Nat_Onat, Y, X ) ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, c_Divides_Odiv__class_Omod
% 0.96/1.50 ( tc_Nat_Onat, c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Z, Y ), X ) ),
% 0.96/1.50 c_Divides_Odiv__class_Omod( tc_Nat_Onat, Z, Y ) ) }.
% 0.96/1.50 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Divides_Odiv__class_Odiv(
% 0.96/1.50 tc_Nat_Onat, Y, X ), X ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y
% 0.96/1.50 , c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ) ) }.
% 0.96/1.50 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, c_Divides_Odiv__class_Odiv
% 0.96/1.50 ( tc_Nat_Onat, X, Y ) ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 0.96/1.50 c_Divides_Odiv__class_Omod( tc_Nat_Onat, X, Y ) ) }.
% 0.96/1.50 { c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ) =
% 0.96/1.50 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Divides_Odiv__class_Odiv(
% 0.96/1.50 tc_Nat_Onat, Y, X ), X ) ) }.
% 0.96/1.50 { ! class_Fields_Ofield( X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 0.96/1.50 , c_Polynomial_Odegree( X, Z ), c_Polynomial_Odegree( X, Y ) ),
% 0.96/1.50 c_Divides_Odiv__class_Odiv( tc_Polynomial_Opoly( X ), Z, Y ) =
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Rings_Olinordered__idom( X ), ! c_Groups_Osgn__class_Osgn( X, Y )
% 0.96/1.50 = c_Groups_Oone__class_Oone( X ), c_Orderings_Oord__class_Oless( X,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.96/1.50 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.96/1.50 , c_Groups_Ozero__class_Ozero( X ), Y ), c_Groups_Osgn__class_Osgn( X, Y
% 0.96/1.50 ) = c_Groups_Oone__class_Oone( X ) }.
% 0.96/1.50 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.96/1.50 , c_Groups_Ozero__class_Ozero( X ), Y ), c_Groups_Osgn__class_Osgn( X, Y
% 0.96/1.50 ) = c_Groups_Oone__class_Oone( X ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.96/1.50 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y
% 0.96/1.50 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.96/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.96/1.50 tc_Nat_Onat, Y, c_Divides_Odiv__class_Omod( tc_Nat_Onat, T, X ) ), Z ),
% 0.96/1.50 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.96/1.50 { ! hBOOL( hAPP( Z, c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ) ) ),
% 0.96/1.50 alpha21( X, Y, Z ) }.
% 0.96/1.50 { ! hBOOL( hAPP( Z, c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ) ) ),
% 0.96/1.50 alpha43( X, Y, Z ) }.
% 0.96/1.50 { ! alpha21( X, Y, Z ), ! alpha43( X, Y, Z ), hBOOL( hAPP( Z,
% 0.96/1.50 c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ) ) ) }.
% 0.96/1.50 { ! alpha43( X, Y, Z ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.96/1.50 alpha51( X, Y, Z ) }.
% 0.96/1.50 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha43( X, Y, Z ) }.
% 0.96/1.50 { ! alpha51( X, Y, Z ), alpha43( X, Y, Z ) }.
% 0.96/1.50 { ! alpha51( X, Y, Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, X
% 0.96/1.50 ), alpha57( X, Y, Z, T ) }.
% 0.96/1.50 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, skol28( X, T, U ), X ),
% 0.96/1.50 alpha51( X, Y, Z ) }.
% 0.96/1.50 { ! alpha57( X, Y, Z, skol28( X, Y, Z ) ), alpha51( X, Y, Z ) }.
% 0.96/1.50 { ! alpha57( X, Y, Z, T ), ! Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), T ), hBOOL( hAPP( Z,
% 0.96/1.50 T ) ) }.
% 0.96/1.50 { Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, skol29( X, Y, T ) ), T ),
% 0.96/1.50 alpha57( X, Y, Z, T ) }.
% 0.96/1.50 { ! hBOOL( hAPP( Z, T ) ), alpha57( X, Y, Z, T ) }.
% 0.96/1.50 { ! alpha21( X, Y, Z ), ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.96/1.50 hBOOL( hAPP( Z, Y ) ) }.
% 0.96/1.50 { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha21( X, Y, Z ) }.
% 0.96/1.50 { ! hBOOL( hAPP( Z, Y ) ), alpha21( X, Y, Z ) }.
% 0.96/1.50 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.96/1.50 , Y, c_Groups_Ozero__class_Ozero( X ) ), c_Groups_Osgn__class_Osgn( X, Y
% 0.96/1.50 ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Oone__class_Oone( X ) )
% 0.96/1.50 }.
% 0.96/1.50 { ! class_Rings_Olinordered__idom( X ), ! c_Groups_Osgn__class_Osgn( X, Y )
% 0.96/1.50 = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Oone__class_Oone( X ) ),
% 0.96/1.50 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ) }
% 0.96/1.50 .
% 0.96/1.50 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.96/1.50 , Y, c_Groups_Ozero__class_Ozero( X ) ), c_Groups_Osgn__class_Osgn( X, Y
% 0.96/1.50 ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Oone__class_Oone( X ) )
% 0.96/1.50 }.
% 0.96/1.50 { ! class_Groups_Osgn__if( X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.96/1.50 c_Groups_Osgn__class_Osgn( X, Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.50 { ! class_Groups_Osgn__if( X ), Y = c_Groups_Ozero__class_Ozero( X ), !
% 0.96/1.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.96/1.50 c_Groups_Osgn__class_Osgn( X, Y ) = c_Groups_Oone__class_Oone( X ) }.
% 0.96/1.50 { ! class_Groups_Osgn__if( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.96/1.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.96/1.50 c_Groups_Osgn__class_Osgn( X, Y ) = c_Groups_Ouminus__class_Ouminus( X,
% 0.96/1.50 c_Groups_Oone__class_Oone( X ) ) }.
% 0.96/1.50 { ! class_RealVector_Oreal__normed__vector( X ), ! Y =
% 0.96/1.50 c_Groups_Ozero__class_Ozero( X ), c_RealVector_Onorm__class_Onorm( X,
% 0.96/1.50 c_Groups_Osgn__class_Osgn( X, Y ) ) = c_Groups_Ozero__class_Ozero(
% 0.96/1.50 tc_RealDef_Oreal ) }.
% 0.96/1.50 { ! class_RealVector_Oreal__normed__vector( X ), Y =
% 0.96/1.50 c_Groups_Ozero__class_Ozero( X ), c_RealVector_Onorm__class_Onorm( X,
% 0.96/1.50 c_Groups_Osgn__class_Osgn( X, Y ) ) = c_Groups_Oone__class_Oone(
% 0.96/1.50 tc_RealDef_Oreal ) }.
% 0.96/1.50 { ! class_Rings_Oidom( X ), ! hAPP( c_Polynomial_Opoly( X, Z ), Y ) =
% 0.96/1.50 c_Groups_Ozero__class_Ozero( X ), c_Rings_Odvd__class_Odvd(
% 0.96/1.50 tc_Polynomial_Opoly( X ), c_Polynomial_OpCons( X,
% 0.96/1.50 c_Groups_Ouminus__class_Ouminus( X, Y ), c_Polynomial_OpCons( X,
% 0.96/1.50 c_Groups_Oone__class_Oone( X ), c_Groups_Ozero__class_Ozero(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ) ) ), Z ) }.
% 0.96/1.50 { ! class_Rings_Oidom( X ), ! c_Rings_Odvd__class_Odvd( tc_Polynomial_Opoly
% 0.96/1.50 ( X ), c_Polynomial_OpCons( X, c_Groups_Ouminus__class_Ouminus( X, Y ),
% 0.96/1.50 c_Polynomial_OpCons( X, c_Groups_Oone__class_Oone( X ),
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ) ), Z ), hAPP(
% 0.96/1.50 c_Polynomial_Opoly( X, Z ), Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.50 { ! class_Rings_Oidom( X ), ! c_Rings_Odvd__class_Odvd( tc_Polynomial_Opoly
% 0.96/1.50 ( X ), c_Polynomial_OpCons( X, Z, c_Polynomial_OpCons( X,
% 0.96/1.50 c_Groups_Oone__class_Oone( X ), c_Groups_Ozero__class_Ozero(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ) ) ), Y ), hAPP( c_Polynomial_Opoly( X, Y ),
% 0.96/1.50 c_Groups_Ouminus__class_Ouminus( X, Z ) ) = c_Groups_Ozero__class_Ozero(
% 0.96/1.50 X ) }.
% 0.96/1.50 { ! class_Rings_Oidom( X ), ! hAPP( c_Polynomial_Opoly( X, Y ),
% 0.96/1.50 c_Groups_Ouminus__class_Ouminus( X, Z ) ) = c_Groups_Ozero__class_Ozero(
% 0.96/1.50 X ), c_Rings_Odvd__class_Odvd( tc_Polynomial_Opoly( X ),
% 0.96/1.50 c_Polynomial_OpCons( X, Z, c_Polynomial_OpCons( X,
% 0.96/1.50 c_Groups_Oone__class_Oone( X ), c_Groups_Ozero__class_Ozero(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ) ) ), Y ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__semiring__1( X ), c_Rings_Odvd__class_Odvd( X, Y,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.96/1.50 { ! class_Divides_Oring__div( X ), ! c_Rings_Odvd__class_Odvd( X, Z, Y ),
% 0.96/1.50 c_Divides_Odiv__class_Odiv( X, c_Groups_Ouminus__class_Ouminus( X, Y ), Z
% 0.96/1.50 ) = c_Groups_Ouminus__class_Ouminus( X, c_Divides_Odiv__class_Odiv( X, Y
% 0.96/1.50 , Z ) ) }.
% 0.96/1.50 { ! class_Divides_Oring__div( X ), ! c_Rings_Odvd__class_Odvd( X, Z, Y ),
% 0.96/1.50 c_Divides_Odiv__class_Odiv( X, Y, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.96/1.50 ) = c_Groups_Ouminus__class_Ouminus( X, c_Divides_Odiv__class_Odiv( X, Y
% 0.96/1.50 , Z ) ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), ! c_Rings_Odvd__class_Odvd( X, Z, Y
% 0.96/1.50 ), ! c_Rings_Odvd__class_Odvd( X, U, T ), c_Groups_Otimes__class_Otimes
% 0.96/1.50 ( X, c_Divides_Odiv__class_Odiv( X, Y, Z ), c_Divides_Odiv__class_Odiv( X
% 0.96/1.50 , T, U ) ) = c_Divides_Odiv__class_Odiv( X, c_Groups_Otimes__class_Otimes
% 0.96/1.50 ( X, Y, T ), c_Groups_Otimes__class_Otimes( X, Z, U ) ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), ! c_Rings_Odvd__class_Odvd( X, Z, Y
% 0.96/1.50 ), c_Groups_Otimes__class_Otimes( X, c_Divides_Odiv__class_Odiv( X, Y, Z
% 0.96/1.50 ), T ) = c_Divides_Odiv__class_Odiv( X, c_Groups_Otimes__class_Otimes( X
% 0.96/1.50 , Y, T ), Z ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), ! c_Rings_Odvd__class_Odvd( X, Z, Y
% 0.96/1.50 ), c_Groups_Otimes__class_Otimes( X, c_Divides_Odiv__class_Odiv( X, Y, Z
% 0.96/1.50 ), Z ) = Y }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), ! c_Rings_Odvd__class_Odvd( X, Z, Y
% 0.96/1.50 ), c_Groups_Otimes__class_Otimes( X, T, c_Divides_Odiv__class_Odiv( X, Y
% 0.96/1.50 , Z ) ) = c_Divides_Odiv__class_Odiv( X, c_Groups_Otimes__class_Otimes( X
% 0.96/1.50 , T, Y ), Z ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), ! c_Rings_Odvd__class_Odvd( X, Z, Y
% 0.96/1.50 ), c_Groups_Otimes__class_Otimes( X, Z, c_Divides_Odiv__class_Odiv( X, Y
% 0.96/1.50 , Z ) ) = Y }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), ! c_Rings_Odvd__class_Odvd( X, Z, Y
% 0.96/1.50 ), ! c_Rings_Odvd__class_Odvd( X, Z, T ), ! c_Rings_Odvd__class_Odvd( X
% 0.96/1.50 , c_Divides_Odiv__class_Odiv( X, Y, Z ), c_Divides_Odiv__class_Odiv( X, T
% 0.96/1.50 , Z ) ), c_Rings_Odvd__class_Odvd( X, Y, T ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), ! c_Rings_Odvd__class_Odvd( X, Z, Y
% 0.96/1.50 ), ! c_Rings_Odvd__class_Odvd( X, Z, T ), ! c_Rings_Odvd__class_Odvd( X
% 0.96/1.50 , Y, T ), c_Rings_Odvd__class_Odvd( X, c_Divides_Odiv__class_Odiv( X, Y,
% 0.96/1.50 Z ), c_Divides_Odiv__class_Odiv( X, T, Z ) ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), ! c_Rings_Odvd__class_Odvd( X, Z, Y
% 0.96/1.50 ), ! c_Rings_Odvd__class_Odvd( X, Z, T ), c_Divides_Odiv__class_Odiv( X
% 0.96/1.50 , c_Groups_Oplus__class_Oplus( X, Y, T ), Z ) =
% 0.96/1.50 c_Groups_Oplus__class_Oplus( X, c_Divides_Odiv__class_Odiv( X, Y, Z ),
% 0.96/1.50 c_Divides_Odiv__class_Odiv( X, T, Z ) ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), ! c_Rings_Odvd__class_Odvd( X, Z, Y
% 0.96/1.50 ), c_Divides_Odiv__class_Omod( X, Y, Z ) = c_Groups_Ozero__class_Ozero(
% 0.96/1.50 X ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), ! c_Rings_Odvd__class_Odvd( X, Z, Y
% 0.96/1.50 ), c_Divides_Odiv__class_Omod( X, Y, Z ) = c_Groups_Ozero__class_Ozero(
% 0.96/1.50 X ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), ! c_Divides_Odiv__class_Omod( X, Y,
% 0.96/1.50 Z ) = c_Groups_Ozero__class_Ozero( X ), c_Rings_Odvd__class_Odvd( X, Z, Y
% 0.96/1.50 ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), ! c_Rings_Odvd__class_Odvd( X, Z, Y
% 0.96/1.50 ), ! c_Rings_Odvd__class_Odvd( X, Z, c_Divides_Odiv__class_Omod( X, T, Y
% 0.96/1.50 ) ), c_Rings_Odvd__class_Odvd( X, Z, T ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), ! c_Rings_Odvd__class_Odvd( X, Z, Y
% 0.96/1.50 ), ! c_Rings_Odvd__class_Odvd( X, Z, T ), c_Rings_Odvd__class_Odvd( X, Z
% 0.96/1.50 , c_Divides_Odiv__class_Omod( X, T, Y ) ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), ! c_Rings_Odvd__class_Odvd( X, Z, Y
% 0.96/1.50 ), c_Divides_Odiv__class_Omod( X, c_Divides_Odiv__class_Omod( X, T, Y )
% 0.96/1.50 , Z ) = c_Divides_Odiv__class_Omod( X, T, Z ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), ! c_Rings_Odvd__class_Odvd( X, Z, Y
% 0.96/1.50 ), ! c_Rings_Odvd__class_Odvd( X, Z, T ), c_Rings_Odvd__class_Odvd( X, Z
% 0.96/1.50 , c_Divides_Odiv__class_Omod( X, Y, T ) ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), ! c_Rings_Odvd__class_Odvd( X, T,
% 0.96/1.50 c_Divides_Odiv__class_Omod( X, Z, Y ) ), ! c_Rings_Odvd__class_Odvd( X, T
% 0.96/1.50 , Y ), c_Rings_Odvd__class_Odvd( X, T, Z ) }.
% 0.96/1.50 { ! class_Fields_Ofield( X ), c_Divides_Odiv__class_Omod(
% 0.96/1.50 tc_Polynomial_Opoly( X ), c_Groups_Ouminus__class_Ouminus(
% 0.96/1.50 tc_Polynomial_Opoly( X ), Z ), Y ) = c_Groups_Ouminus__class_Ouminus(
% 0.96/1.50 tc_Polynomial_Opoly( X ), c_Divides_Odiv__class_Omod( tc_Polynomial_Opoly
% 0.96/1.50 ( X ), Z, Y ) ) }.
% 0.96/1.50 { ! class_Fields_Ofield( X ), c_Divides_Odiv__class_Omod(
% 0.96/1.50 tc_Polynomial_Opoly( X ), Z, c_Groups_Ouminus__class_Ouminus(
% 0.96/1.50 tc_Polynomial_Opoly( X ), Y ) ) = c_Divides_Odiv__class_Omod(
% 0.96/1.50 tc_Polynomial_Opoly( X ), Z, Y ) }.
% 0.96/1.50 { ! class_Fields_Ofield( X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 0.96/1.50 , c_Polynomial_Odegree( X, Z ), c_Polynomial_Odegree( X, Y ) ),
% 0.96/1.50 c_Divides_Odiv__class_Omod( tc_Polynomial_Opoly( X ), Z, Y ) = Z }.
% 0.96/1.50 { ! class_Fields_Ofield( X ), ! c_Polynomial_Opdivmod__rel( X, T, Z, U, Y )
% 0.96/1.50 , c_Divides_Odiv__class_Omod( tc_Polynomial_Opoly( X ), T, Z ) = Y }.
% 0.96/1.50 { ! class_Fields_Ofield( X ), c_Polynomial_Opdivmod__rel( X, Z, Y,
% 0.96/1.50 c_Divides_Odiv__class_Odiv( tc_Polynomial_Opoly( X ), Z, Y ),
% 0.96/1.50 c_Divides_Odiv__class_Omod( tc_Polynomial_Opoly( X ), Z, Y ) ) }.
% 0.96/1.50 { ! class_Fields_Ofield( X ), c_Divides_Odiv__class_Omod(
% 0.96/1.50 tc_Polynomial_Opoly( X ), T, c_Groups_Otimes__class_Otimes(
% 0.96/1.50 tc_Polynomial_Opoly( X ), Z, Y ) ) = c_Groups_Oplus__class_Oplus(
% 0.96/1.50 tc_Polynomial_Opoly( X ), c_Groups_Otimes__class_Otimes(
% 0.96/1.50 tc_Polynomial_Opoly( X ), Z, c_Divides_Odiv__class_Omod(
% 0.96/1.50 tc_Polynomial_Opoly( X ), c_Divides_Odiv__class_Odiv( tc_Polynomial_Opoly
% 0.96/1.50 ( X ), T, Z ), Y ) ), c_Divides_Odiv__class_Omod( tc_Polynomial_Opoly( X
% 0.96/1.50 ), T, Z ) ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__semiring__1( X ), ! c_Rings_Odvd__class_Odvd( X,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( X ), Y ), Y = c_Groups_Ozero__class_Ozero( X
% 0.96/1.50 ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__semiring__1( X ), ! c_Rings_Odvd__class_Odvd( X, Z,
% 0.96/1.50 Y ), ! c_Rings_Odvd__class_Odvd( X, Y, T ), c_Rings_Odvd__class_Odvd( X,
% 0.96/1.50 Z, T ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__semiring__1( X ), c_Rings_Odvd__class_Odvd( X, Y, Y
% 0.96/1.50 ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__semiring__1( X ), ! c_Rings_Odvd__class_Odvd( X, Z,
% 0.96/1.50 Y ), ! c_Rings_Odvd__class_Odvd( X, Z, T ), c_Rings_Odvd__class_Odvd( X,
% 0.96/1.50 Z, c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__semiring__1( X ), c_Rings_Odvd__class_Odvd( X,
% 0.96/1.50 c_Groups_Oone__class_Oone( X ), Y ) }.
% 0.96/1.50 { ! class_Rings_Oidom( X ), ! c_Rings_Odvd__class_Odvd( X,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Groups_Otimes__class_Otimes(
% 0.96/1.50 X, T, Y ) ), T = c_Groups_Ozero__class_Ozero( X ),
% 0.96/1.50 c_Rings_Odvd__class_Odvd( X, Z, Y ) }.
% 0.96/1.50 { ! class_Rings_Oidom( X ), ! T = c_Groups_Ozero__class_Ozero( X ),
% 0.96/1.50 c_Rings_Odvd__class_Odvd( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.96/1.50 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.96/1.50 { ! class_Rings_Oidom( X ), ! c_Rings_Odvd__class_Odvd( X, Z, Y ),
% 0.96/1.50 c_Rings_Odvd__class_Odvd( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.96/1.50 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.96/1.50 { ! class_Rings_Oidom( X ), ! c_Rings_Odvd__class_Odvd( X,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Groups_Otimes__class_Otimes(
% 0.96/1.50 X, Y, Z ) ), Z = c_Groups_Ozero__class_Ozero( X ),
% 0.96/1.50 c_Rings_Odvd__class_Odvd( X, T, Y ) }.
% 0.96/1.50 { ! class_Rings_Oidom( X ), ! Z = c_Groups_Ozero__class_Ozero( X ),
% 0.96/1.50 c_Rings_Odvd__class_Odvd( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.96/1.50 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.96/1.50 { ! class_Rings_Oidom( X ), ! c_Rings_Odvd__class_Odvd( X, T, Y ),
% 0.96/1.50 c_Rings_Odvd__class_Odvd( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.96/1.50 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__semiring__1( X ), c_Rings_Odvd__class_Odvd( X, Z,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__semiring__1( X ), c_Rings_Odvd__class_Odvd( X, Z,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__semiring__1( X ), ! c_Rings_Odvd__class_Odvd( X, Z,
% 0.96/1.50 Y ), c_Rings_Odvd__class_Odvd( X, Z, c_Groups_Otimes__class_Otimes( X, Y
% 0.96/1.50 , T ) ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__semiring__1( X ), ! c_Rings_Odvd__class_Odvd( X, Z,
% 0.96/1.50 Y ), c_Rings_Odvd__class_Odvd( X, Z, c_Groups_Otimes__class_Otimes( X, T
% 0.96/1.50 , Y ) ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__semiring__1( X ), ! c_Rings_Odvd__class_Odvd( X, Z,
% 0.96/1.50 Y ), ! c_Rings_Odvd__class_Odvd( X, U, T ), c_Rings_Odvd__class_Odvd( X,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( X, Z, U ), c_Groups_Otimes__class_Otimes(
% 0.96/1.50 X, Y, T ) ) }.
% 0.96/1.50 { ! class_Rings_Odvd( X ), ! Z = c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.96/1.50 c_Rings_Odvd__class_Odvd( X, Y, Z ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__semiring__1( X ), ! c_Rings_Odvd__class_Odvd( X,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( X, Z, T ), Y ), c_Rings_Odvd__class_Odvd(
% 0.96/1.50 X, Z, Y ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__semiring__1( X ), ! c_Rings_Odvd__class_Odvd( X,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ), c_Rings_Odvd__class_Odvd(
% 0.96/1.50 X, Z, Y ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__ring__1( X ), ! c_Rings_Odvd__class_Odvd( X, Z,
% 0.96/1.50 c_Groups_Ouminus__class_Ouminus( X, Y ) ), c_Rings_Odvd__class_Odvd( X, Z
% 0.96/1.50 , Y ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__ring__1( X ), ! c_Rings_Odvd__class_Odvd( X, Z, Y )
% 0.96/1.50 , c_Rings_Odvd__class_Odvd( X, Z, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.96/1.50 ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__ring__1( X ), ! c_Rings_Odvd__class_Odvd( X,
% 0.96/1.50 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ), c_Rings_Odvd__class_Odvd( X
% 0.96/1.50 , Z, Y ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__ring__1( X ), ! c_Rings_Odvd__class_Odvd( X, Z, Y )
% 0.96/1.50 , c_Rings_Odvd__class_Odvd( X, c_Groups_Ouminus__class_Ouminus( X, Z ), Y
% 0.96/1.50 ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__ring__1( X ), ! c_Rings_Odvd__class_Odvd( X, Z, Y )
% 0.96/1.50 , ! c_Rings_Odvd__class_Odvd( X, Z, T ), c_Rings_Odvd__class_Odvd( X, Z,
% 0.96/1.50 c_Groups_Ominus__class_Ominus( X, Y, T ) ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.96/1.50 , Z = c_Groups_Ozero__class_Ozero( X ), ! c_Rings_Odvd__class_Odvd( X, Y
% 0.96/1.50 , T ), ! c_Rings_Odvd__class_Odvd( X, Z, U ), !
% 0.96/1.50 c_Divides_Odiv__class_Odiv( X, T, Y ) = c_Divides_Odiv__class_Odiv( X, U
% 0.96/1.50 , Z ), c_Groups_Otimes__class_Otimes( X, T, Z ) =
% 0.96/1.50 c_Groups_Otimes__class_Otimes( X, Y, U ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.96/1.50 , Z = c_Groups_Ozero__class_Ozero( X ), ! c_Rings_Odvd__class_Odvd( X, Y
% 0.96/1.50 , T ), ! c_Rings_Odvd__class_Odvd( X, Z, U ), !
% 0.96/1.50 c_Groups_Otimes__class_Otimes( X, T, Z ) = c_Groups_Otimes__class_Otimes
% 0.96/1.50 ( X, Y, U ), c_Divides_Odiv__class_Odiv( X, T, Y ) =
% 0.96/1.50 c_Divides_Odiv__class_Odiv( X, U, Z ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.96/1.50 , ! c_Rings_Odvd__class_Odvd( X, Y, Z ), ! c_Divides_Odiv__class_Odiv( X
% 0.96/1.50 , Z, Y ) = T, Z = c_Groups_Otimes__class_Otimes( X, T, Y ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.96/1.50 , ! c_Rings_Odvd__class_Odvd( X, Y, Z ), ! Z =
% 0.96/1.50 c_Groups_Otimes__class_Otimes( X, T, Y ), c_Divides_Odiv__class_Odiv( X,
% 0.96/1.50 Z, Y ) = T }.
% 0.96/1.50 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ), c_Divides_Odiv__class_Omod(
% 0.96/1.50 tc_Polynomial_Opoly( X ), Z, Y ) = c_Groups_Ozero__class_Ozero(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.96/1.50 c_Polynomial_Odegree( X, c_Divides_Odiv__class_Omod( tc_Polynomial_Opoly
% 0.96/1.50 ( X ), Z, Y ) ), c_Polynomial_Odegree( X, Y ) ) }.
% 0.96/1.50 { ! class_Rings_Oidom( X ), ! c_Rings_Odvd__class_Odvd( tc_Polynomial_Opoly
% 0.96/1.50 ( X ), Z, Y ), Y = c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X )
% 0.96/1.50 ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Polynomial_Odegree
% 0.96/1.50 ( X, Z ), c_Polynomial_Odegree( X, Y ) ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.96/1.50 c_Groups_Osgn__class_Osgn( tc_RealDef_Oreal, X ) =
% 0.96/1.50 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.96/1.50 { ! X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.96/1.50 c_Groups_Osgn__class_Osgn( tc_RealDef_Oreal, X ) =
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.96/1.50 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.96/1.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.96/1.50 c_Groups_Osgn__class_Osgn( tc_RealDef_Oreal, X ) =
% 0.96/1.50 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.96/1.50 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.96/1.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.96/1.50 c_Groups_Osgn__class_Osgn( tc_RealDef_Oreal, X ) =
% 0.96/1.50 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.96/1.50 { ! X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.96/1.50 c_Groups_Osgn__class_Osgn( tc_RealDef_Oreal, X ) =
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.96/1.50 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.96/1.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.96/1.50 c_Groups_Osgn__class_Osgn( tc_RealDef_Oreal, X ) =
% 0.96/1.50 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.96/1.50 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.96/1.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.96/1.50 c_Groups_Osgn__class_Osgn( tc_RealDef_Oreal, X ) =
% 0.96/1.50 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__ring( X ), ! class_Rings_Odvd( X ), !
% 0.96/1.50 c_Rings_Odvd__class_Odvd( X, Z, Y ), ! c_Rings_Odvd__class_Odvd( X, Z,
% 0.96/1.50 c_Groups_Oplus__class_Oplus( X, U, T ) ), c_Rings_Odvd__class_Odvd( X, Z
% 0.96/1.50 , c_Groups_Oplus__class_Oplus( X, c_Groups_Ominus__class_Ominus( X, U,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( X, W, Y ) ), T ) ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__ring( X ), ! class_Rings_Odvd( X ), !
% 0.96/1.50 c_Rings_Odvd__class_Odvd( X, Z, Y ), ! c_Rings_Odvd__class_Odvd( X, Z,
% 0.96/1.50 c_Groups_Oplus__class_Oplus( X, c_Groups_Ominus__class_Ominus( X, U,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( X, W, Y ) ), T ) ),
% 0.96/1.50 c_Rings_Odvd__class_Odvd( X, Z, c_Groups_Oplus__class_Oplus( X, U, T ) )
% 0.96/1.50 }.
% 0.96/1.50 { ! class_Rings_Ocomm__ring( X ), ! class_Rings_Odvd( X ), !
% 0.96/1.50 c_Rings_Odvd__class_Odvd( X, Z, Y ), ! c_Rings_Odvd__class_Odvd( X, Z,
% 0.96/1.50 c_Groups_Oplus__class_Oplus( X, U, T ) ), c_Rings_Odvd__class_Odvd( X, Z
% 0.96/1.50 , c_Groups_Oplus__class_Oplus( X, c_Groups_Ominus__class_Ominus( X, U,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( X, W, Y ) ), T ) ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__ring( X ), ! class_Rings_Odvd( X ), !
% 0.96/1.50 c_Rings_Odvd__class_Odvd( X, Z, Y ), ! c_Rings_Odvd__class_Odvd( X, Z,
% 0.96/1.50 c_Groups_Oplus__class_Oplus( X, c_Groups_Ominus__class_Ominus( X, U,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( X, W, Y ) ), T ) ),
% 0.96/1.50 c_Rings_Odvd__class_Odvd( X, Z, c_Groups_Oplus__class_Oplus( X, U, T ) )
% 0.96/1.50 }.
% 0.96/1.50 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, c_Groups_Oplus__class_Oplus(
% 0.96/1.50 tc_Nat_Onat, X, Y ) ), c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ) }.
% 0.96/1.50 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), c_Rings_Odvd__class_Odvd
% 0.96/1.50 ( tc_Nat_Onat, Y, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) }.
% 0.96/1.50 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, c_Groups_Oone__class_Oone(
% 0.96/1.50 tc_Nat_Onat ) ), X = c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.96/1.50 { ! X = c_Groups_Oone__class_Oone( tc_Nat_Onat ), c_Rings_Odvd__class_Odvd
% 0.96/1.50 ( tc_Nat_Onat, X, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) }.
% 0.96/1.50 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.96/1.50 tc_Nat_Onat, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) )
% 0.96/1.50 , Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.96/1.50 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ) }.
% 0.96/1.50 { ! Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.96/1.50 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.96/1.50 tc_Nat_Onat, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) )
% 0.96/1.50 }.
% 0.96/1.50 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), c_Rings_Odvd__class_Odvd
% 0.96/1.50 ( tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.96/1.50 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.96/1.50 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y
% 0.96/1.50 ), ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ) }.
% 0.96/1.50 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Z, c_Groups_Ominus__class_Ominus
% 0.96/1.50 ( tc_Nat_Onat, Y, X ) ), ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Z, X )
% 0.96/1.50 , ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Y ),
% 0.96/1.50 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Z, Y ) }.
% 0.96/1.50 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Z, c_Groups_Ominus__class_Ominus
% 0.96/1.50 ( tc_Nat_Onat, Y, X ) ), ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Z, Y )
% 0.96/1.50 , ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Y ),
% 0.96/1.50 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Z, X ) }.
% 0.96/1.50 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), !
% 0.96/1.50 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, Z ), c_Rings_Odvd__class_Odvd(
% 0.96/1.50 tc_Nat_Onat, Y, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z ) ) }.
% 0.96/1.50 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), !
% 0.96/1.50 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.96/1.50 tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X
% 0.96/1.50 ) }.
% 0.96/1.50 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.96/1.50 tc_Nat_Onat, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) )
% 0.96/1.50 , ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Z ), c_Rings_Odvd__class_Odvd
% 0.96/1.50 ( tc_Nat_Onat, Y, X ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.96/1.50 ( tc_Nat_Onat ), X ), ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 0.96/1.50 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 0.96/1.50 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Z, Y ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.96/1.50 ( tc_Nat_Onat ), X ), ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Z, Y ),
% 0.96/1.50 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.96/1.50 tc_Nat_Onat, X, Z ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) )
% 0.96/1.50 }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.96/1.50 ( tc_Nat_Onat ), X ), ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ), X ), Y =
% 0.96/1.50 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.96/1.50 ( tc_Nat_Onat ), X ), ! Y = c_Groups_Oone__class_Oone( tc_Nat_Onat ),
% 0.96/1.50 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.96/1.50 tc_Nat_Onat, Y, X ), X ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.96/1.50 ( tc_Nat_Onat ), X ), ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ), X ), Y =
% 0.96/1.50 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.96/1.50 ( tc_Nat_Onat ), X ), ! Y = c_Groups_Oone__class_Oone( tc_Nat_Onat ),
% 0.96/1.50 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.96/1.50 tc_Nat_Onat, X, Y ), X ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.96/1.50 ( tc_Nat_Onat ), X ), ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Y ),
% 0.96/1.50 c_RealDef_Oreal( tc_Nat_Onat, c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y
% 0.96/1.50 , X ) ) = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.96/1.50 c_RealDef_Oreal( tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }
% 0.96/1.50 .
% 0.96/1.50 { ! class_Rings_Odvd( X ), ! class_Rings_Osemiring__0( X ), ! hBOOL( hAPP(
% 0.96/1.50 Z, c_Groups_Otimes__class_Otimes( X, Y, T ) ) ), hBOOL( hAPP( Z, skol30(
% 0.96/1.50 U, W, Z ) ) ) }.
% 0.96/1.50 { ! class_Rings_Odvd( X ), ! class_Rings_Osemiring__0( X ), ! hBOOL( hAPP(
% 0.96/1.50 Z, c_Groups_Otimes__class_Otimes( X, Y, T ) ) ), c_Rings_Odvd__class_Odvd
% 0.96/1.50 ( X, Y, c_Groups_Oplus__class_Oplus( X, skol30( X, Y, Z ),
% 0.96/1.50 c_Groups_Ozero__class_Ozero( X ) ) ) }.
% 0.96/1.50 { ! class_Rings_Odvd( X ), ! class_Rings_Osemiring__0( X ), !
% 0.96/1.50 c_Rings_Odvd__class_Odvd( X, Y, c_Groups_Oplus__class_Oplus( X, T,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( X ) ) ), ! hBOOL( hAPP( Z, T ) ), hBOOL(
% 0.96/1.50 hAPP( Z, c_Groups_Otimes__class_Otimes( X, Y, skol32( X, Y, Z ) ) ) ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.96/1.50 ( tc_Nat_Onat ), X ), ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ),
% 0.96/1.50 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.96/1.50 tc_Nat_Onat ), Y ) }.
% 0.96/1.50 { ! class_Rings_Oidom( X ), c_Rings_Odvd__class_Odvd( tc_Polynomial_Opoly(
% 0.96/1.50 X ), c_Power_Opower__class_Opower( tc_Polynomial_Opoly( X ),
% 0.96/1.50 c_Polynomial_OpCons( X, c_Groups_Ouminus__class_Ouminus( X, Z ),
% 0.96/1.50 c_Polynomial_OpCons( X, c_Groups_Oone__class_Oone( X ),
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ) ),
% 0.96/1.50 c_Polynomial_Oorder( X, Z, Y ) ), Y ) }.
% 0.96/1.50 { c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, X ) }.
% 0.96/1.50 { ! class_Divides_Osemiring__div( X ), ! c_Rings_Odvd__class_Odvd( X, Z, Y
% 0.96/1.50 ), c_Power_Opower__class_Opower( X, c_Divides_Odiv__class_Odiv( X, Y, Z
% 0.96/1.50 ), T ) = c_Divides_Odiv__class_Odiv( X, c_Power_Opower__class_Opower( X
% 0.96/1.50 , Y, T ), c_Power_Opower__class_Opower( X, Z, T ) ) }.
% 0.96/1.50 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), c_Rings_Odvd__class_Odvd
% 0.96/1.50 ( tc_Nat_Onat, X, Y ), ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Y ),
% 0.96/1.50 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ) }.
% 0.96/1.50 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), c_Rings_Odvd__class_Odvd
% 0.96/1.50 ( tc_Nat_Onat, X, Y ), ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Z ),
% 0.96/1.50 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Z, X ), c_Rings_Odvd__class_Odvd(
% 0.96/1.50 tc_Nat_Onat, Y, Z ) }.
% 0.96/1.50 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), c_Rings_Odvd__class_Odvd
% 0.96/1.50 ( tc_Nat_Onat, X, Y ), ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Z ),
% 0.96/1.50 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Z, X ), ! c_Rings_Odvd__class_Odvd
% 0.96/1.50 ( tc_Nat_Onat, Z, Y ) }.
% 0.96/1.50 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), c_Rings_Odvd__class_Odvd
% 0.96/1.50 ( tc_Nat_Onat, X, Y ), ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Y ),
% 0.96/1.50 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ) }.
% 0.96/1.50 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), c_Rings_Odvd__class_Odvd
% 0.96/1.50 ( tc_Nat_Onat, X, Y ), ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Z ),
% 0.96/1.50 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, Z ) }.
% 0.96/1.50 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), c_Rings_Odvd__class_Odvd
% 0.96/1.50 ( tc_Nat_Onat, X, Y ), ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Z ), !
% 0.96/1.50 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Z, Y ) }.
% 0.96/1.50 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), c_Rings_Odvd__class_Odvd
% 0.96/1.50 ( tc_Nat_Onat, X, Y ), ! X = Z, c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y
% 0.96/1.50 , Z ) }.
% 0.96/1.50 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), c_Rings_Odvd__class_Odvd
% 0.96/1.50 ( tc_Nat_Onat, X, Y ), ! X = Z, ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat,
% 0.96/1.50 Z, Y ) }.
% 0.96/1.50 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), c_Rings_Odvd__class_Odvd
% 0.96/1.50 ( tc_Nat_Onat, X, Y ), ! X = Y }.
% 0.96/1.50 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), c_Rings_Odvd__class_Odvd
% 0.96/1.50 ( tc_Nat_Onat, X, Y ), ! Y = X }.
% 0.96/1.50 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), c_Rings_Odvd__class_Odvd
% 0.96/1.50 ( tc_Nat_Onat, X, Y ), ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Y ),
% 0.96/1.50 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ) }.
% 0.96/1.50 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), c_Rings_Odvd__class_Odvd
% 0.96/1.50 ( tc_Nat_Onat, X, Y ), c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ) }.
% 0.96/1.50 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), c_Rings_Odvd__class_Odvd
% 0.96/1.50 ( tc_Nat_Onat, X, Y ), ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Y ),
% 0.96/1.50 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ) }.
% 0.96/1.50 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), c_Rings_Odvd__class_Odvd
% 0.96/1.50 ( tc_Nat_Onat, X, Y ), ! Y = X }.
% 0.96/1.50 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), !
% 0.96/1.50 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Z ), c_Rings_Odvd__class_Odvd(
% 0.96/1.50 tc_Nat_Onat, Z, X ), c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, Z ) }.
% 0.96/1.50 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), !
% 0.96/1.50 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Z ), c_Rings_Odvd__class_Odvd(
% 0.96/1.50 tc_Nat_Onat, Z, X ), ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Z, Y ) }.
% 0.96/1.50 { ! Y = X, ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Z ),
% 0.96/1.50 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Z, X ), c_Rings_Odvd__class_Odvd(
% 0.96/1.50 tc_Nat_Onat, Y, Z ) }.
% 0.96/1.50 { ! Y = X, ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Z ),
% 0.96/1.50 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Z, X ), ! c_Rings_Odvd__class_Odvd
% 0.96/1.50 ( tc_Nat_Onat, Z, Y ) }.
% 0.96/1.50 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), !
% 0.96/1.50 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Z ), c_Rings_Odvd__class_Odvd(
% 0.96/1.50 tc_Nat_Onat, Y, Z ) }.
% 0.96/1.50 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), !
% 0.96/1.50 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Y ), Y = X }.
% 0.96/1.50 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), !
% 0.96/1.50 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Y ), Y = X }.
% 0.96/1.50 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), ! X = Z,
% 0.96/1.50 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, Z ) }.
% 0.96/1.50 { ! Y = X, ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Z ),
% 0.96/1.50 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, Z ) }.
% 0.96/1.50 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), Y = X,
% 0.96/1.50 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ) }.
% 0.96/1.50 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), Y = X, !
% 0.96/1.50 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Y ) }.
% 0.96/1.50 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), c_Rings_Odvd__class_Odvd
% 0.96/1.50 ( tc_Nat_Onat, Y, X ), Y = X }.
% 0.96/1.50 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), !
% 0.96/1.50 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Y ), Y = X }.
% 0.96/1.50 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), !
% 0.96/1.50 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Y ), X = Y }.
% 0.96/1.50 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), ! X = Y,
% 0.96/1.50 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Y ) }.
% 0.96/1.50 { ! Y = X, c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ) }.
% 0.96/1.50 { Y = X, ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ),
% 0.96/1.50 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ) }.
% 0.96/1.50 { Y = X, ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), !
% 0.96/1.50 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Y ) }.
% 0.96/1.50 { ! alpha22( X, Y ), c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ) }.
% 0.96/1.50 { ! alpha22( X, Y ), ! Y = X }.
% 0.96/1.50 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), Y = X, alpha22( X, Y ) }
% 0.96/1.50 .
% 0.96/1.50 { ! alpha22( X, Y ), c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ) }.
% 0.96/1.50 { ! alpha22( X, Y ), ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Y ) }.
% 0.96/1.50 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), c_Rings_Odvd__class_Odvd
% 0.96/1.50 ( tc_Nat_Onat, X, Y ), alpha22( X, Y ) }.
% 0.96/1.50 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), alpha23( X, Y ), Y = X }
% 0.96/1.50 .
% 0.96/1.50 { ! alpha23( X, Y ), c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ) }.
% 0.96/1.50 { ! Y = X, c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ) }.
% 0.96/1.50 { ! alpha23( X, Y ), c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ) }.
% 0.96/1.50 { ! alpha23( X, Y ), ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Y ) }.
% 0.96/1.50 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), c_Rings_Odvd__class_Odvd
% 0.96/1.50 ( tc_Nat_Onat, X, Y ), alpha23( X, Y ) }.
% 0.96/1.50 { ! Y = X, c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ) }.
% 0.96/1.50 { ! Y = X, c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Y ) }.
% 0.96/1.50 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), !
% 0.96/1.50 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Y ), Y = X }.
% 0.96/1.50 { ! class_Rings_Ocomm__semiring__1( X ), c_Orderings_Oord__class_Oless__eq
% 0.96/1.50 ( tc_Nat_Onat, c_Polynomial_Odegree( X, c_Power_Opower__class_Opower(
% 0.96/1.50 tc_Polynomial_Opoly( X ), Z, Y ) ), c_Groups_Otimes__class_Otimes(
% 0.96/1.50 tc_Nat_Onat, c_Polynomial_Odegree( X, Z ), Y ) ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( c_Polynomial_Opoly( X,
% 0.96/1.50 c_Power_Opower__class_Opower( tc_Polynomial_Opoly( X ), T, Z ) ), Y ) =
% 0.96/1.50 c_Power_Opower__class_Opower( X, hAPP( c_Polynomial_Opoly( X, T ), Y ), Z
% 0.96/1.50 ) }.
% 0.96/1.50 { ! class_RealVector_Oreal__normed__div__algebra( X ),
% 0.96/1.50 c_RealVector_Onorm__class_Onorm( X, c_Power_Opower__class_Opower( X, Z, Y
% 0.96/1.50 ) ) = c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.96/1.50 c_RealVector_Onorm__class_Onorm( X, Z ), Y ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__semiring__1( X ), c_Power_Opower__class_Opower( X, Y
% 0.96/1.50 , c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) = Y }.
% 0.96/1.50 { ! class_RealVector_Oreal__normed__algebra__1( X ),
% 0.96/1.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.96/1.50 c_RealVector_Onorm__class_Onorm( X, c_Power_Opower__class_Opower( X, Z, Y
% 0.96/1.50 ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.96/1.50 c_RealVector_Onorm__class_Onorm( X, Z ), Y ) ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.96/1.50 c_Power_Opower__class_Opower( X, T, Z ), c_Power_Opower__class_Opower( X
% 0.96/1.50 , T, Y ) ) = c_Power_Opower__class_Opower( X, T,
% 0.96/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__semiring__1( X ), c_Power_Opower__class_Opower( X, Y
% 0.96/1.50 , c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 0.96/1.50 c_Groups_Oone__class_Oone( X ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__semiring__1( X ), c_Power_Opower__class_Opower( X,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.96/1.50 c_Groups_Otimes__class_Otimes( X, c_Power_Opower__class_Opower( X, T, Y )
% 0.96/1.50 , c_Power_Opower__class_Opower( X, Z, Y ) ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__semiring__1( X ), c_Power_Opower__class_Opower( X,
% 0.96/1.50 c_Power_Opower__class_Opower( X, T, Z ), Y ) =
% 0.96/1.50 c_Power_Opower__class_Opower( X, T, c_Groups_Otimes__class_Otimes(
% 0.96/1.50 tc_Nat_Onat, Z, Y ) ) }.
% 0.96/1.50 { c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, c_Groups_Ozero__class_Ozero(
% 0.96/1.50 tc_Nat_Onat ) ) }.
% 0.96/1.50 { c_Rings_Odvd__class_Odvd( tc_Nat_Onat, c_Groups_Oone__class_Oone(
% 0.96/1.50 tc_Nat_Onat ), X ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__semiring__1( X ), c_Polynomial_Odegree( X,
% 0.96/1.50 c_Power_Opower__class_Opower( tc_Polynomial_Opoly( X ),
% 0.96/1.50 c_Polynomial_OpCons( X, Z, c_Polynomial_OpCons( X,
% 0.96/1.50 c_Groups_Oone__class_Oone( X ), c_Groups_Ozero__class_Ozero(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ) ) ), Y ) ) = Y }.
% 0.96/1.50 { ! class_Groups_Omonoid__mult( X ), ! c_Orderings_Oord__class_Oless(
% 0.96/1.50 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ),
% 0.96/1.50 c_Groups_Otimes__class_Otimes( X, c_Power_Opower__class_Opower( X, Z,
% 0.96/1.50 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, c_Groups_Oone__class_Oone
% 0.96/1.50 ( tc_Nat_Onat ) ) ), Z ) = c_Power_Opower__class_Opower( X, Z, Y ) }.
% 0.96/1.50 { ! class_Power_Opower( X ), ! Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat
% 0.96/1.50 ), c_Power_Opower__class_Opower( X, Y, Z ) = c_Groups_Oone__class_Oone(
% 0.96/1.50 X ) }.
% 0.96/1.50 { ! class_Power_Opower( X ), Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.96/1.50 , c_Power_Opower__class_Opower( X, Y, Z ) = c_Groups_Otimes__class_Otimes
% 0.96/1.50 ( X, Y, c_Power_Opower__class_Opower( X, Y, c_Groups_Ominus__class_Ominus
% 0.96/1.50 ( tc_Nat_Onat, Z, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) ) }.
% 0.96/1.50 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.96/1.50 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( X ), Z ), ! c_Orderings_Oord__class_Oless(
% 0.96/1.50 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), T ),
% 0.96/1.50 c_Orderings_Oord__class_Oless( X, c_Power_Opower__class_Opower( X, Z, T )
% 0.96/1.50 , c_Power_Opower__class_Opower( X, Y, T ) ) }.
% 0.96/1.50 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, c_Power_Opower__class_Opower(
% 0.96/1.50 tc_Nat_Onat, Z, Y ), c_Power_Opower__class_Opower( tc_Nat_Onat, Z, X ) )
% 0.96/1.50 , ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oone__class_Oone
% 0.96/1.50 ( tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.96/1.50 X ) }.
% 0.96/1.50 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, c_Power_Opower__class_Opower(
% 0.96/1.50 tc_Nat_Onat, Z, Y ), c_Power_Opower__class_Opower( tc_Nat_Onat, X, Y ) )
% 0.96/1.50 , Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.96/1.50 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Z, X ) }.
% 0.96/1.50 { ! c_Rings_Odvd__class_Odvd( tc_Int_Oint, c_Power_Opower__class_Opower(
% 0.96/1.50 tc_Int_Oint, Z, Y ), c_Power_Opower__class_Opower( tc_Int_Oint, X, Y ) )
% 0.96/1.50 , Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.96/1.50 c_Rings_Odvd__class_Odvd( tc_Int_Oint, Z, X ) }.
% 0.96/1.50 { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), !
% 0.96/1.50 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, c_Power_Opower__class_Opower(
% 0.96/1.50 tc_Nat_Onat, Z, X ), c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) )
% 0.96/1.50 , c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Z, Y ) }.
% 0.96/1.50 { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), !
% 0.96/1.50 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Z, Y ), c_Rings_Odvd__class_Odvd(
% 0.96/1.50 tc_Nat_Onat, c_Power_Opower__class_Opower( tc_Nat_Onat, Z, X ),
% 0.96/1.50 c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) ) }.
% 0.96/1.50 { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), !
% 0.96/1.50 c_Rings_Odvd__class_Odvd( tc_Int_Oint, c_Power_Opower__class_Opower(
% 0.96/1.50 tc_Int_Oint, Z, X ), c_Power_Opower__class_Opower( tc_Int_Oint, Y, X ) )
% 0.96/1.50 , c_Rings_Odvd__class_Odvd( tc_Int_Oint, Z, Y ) }.
% 0.96/1.50 { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), !
% 0.96/1.50 c_Rings_Odvd__class_Odvd( tc_Int_Oint, Z, Y ), c_Rings_Odvd__class_Odvd(
% 0.96/1.50 tc_Int_Oint, c_Power_Opower__class_Opower( tc_Int_Oint, Z, X ),
% 0.96/1.50 c_Power_Opower__class_Opower( tc_Int_Oint, Y, X ) ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.96/1.50 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.96/1.50 c_Power_Opower__class_Opower( tc_Nat_Onat, X, Z ),
% 0.96/1.50 c_Power_Opower__class_Opower( tc_Nat_Onat, X, Y ) ),
% 0.96/1.50 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.96/1.50 ( tc_Nat_Onat ), c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) ),
% 0.96/1.50 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.96/1.50 tc_Nat_Onat ), Y ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.96/1.50 ( tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.96/1.50 ( tc_Nat_Onat, Y, X ) ) }.
% 0.96/1.50 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.96/1.50 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.96/1.50 tc_Nat_Onat ), c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) ) }.
% 0.96/1.50 { c_RealDef_Oreal( tc_Nat_Onat, c_Power_Opower__class_Opower( tc_Nat_Onat,
% 0.96/1.50 Y, X ) ) = c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.96/1.50 c_RealDef_Oreal( tc_Nat_Onat, Y ), X ) }.
% 0.96/1.50 { c_Power_Opower__class_Opower( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.96/1.50 tc_Nat_Onat, Y ), X ) = c_RealDef_Oreal( tc_Nat_Onat,
% 0.96/1.50 c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) ) }.
% 0.96/1.50 { c_Power_Opower__class_Opower( tc_Int_Oint, c_Power_Opower__class_Opower(
% 0.96/1.50 tc_Int_Oint, Z, Y ), X ) = c_Power_Opower__class_Opower( tc_Int_Oint, Z,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.96/1.50 { c_Power_Opower__class_Opower( tc_Int_Oint, Z, c_Groups_Oplus__class_Oplus
% 0.96/1.50 ( tc_Nat_Onat, Y, X ) ) = c_Groups_Otimes__class_Otimes( tc_Int_Oint,
% 0.96/1.50 c_Power_Opower__class_Opower( tc_Int_Oint, Z, Y ),
% 0.96/1.50 c_Power_Opower__class_Opower( tc_Int_Oint, Z, X ) ) }.
% 0.96/1.50 { ! X = c_RealDef_Oreal( tc_Nat_Onat, c_RComplete_Onatfloor( X ) ),
% 0.96/1.50 c_RComplete_Onatfloor( c_Power_Opower__class_Opower( tc_RealDef_Oreal, X
% 0.96/1.50 , Y ) ) = c_Power_Opower__class_Opower( tc_Nat_Onat,
% 0.96/1.50 c_RComplete_Onatfloor( X ), Y ) }.
% 0.96/1.50 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.96/1.50 c_Power_Opower__class_Opower( tc_Nat_Onat, X, Y ) =
% 0.96/1.50 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.96/1.50 { Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.96/1.50 c_Power_Opower__class_Opower( tc_Nat_Onat, X, Y ) =
% 0.96/1.50 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X,
% 0.96/1.50 c_Power_Opower__class_Opower( tc_Nat_Onat, X,
% 0.96/1.50 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, c_Groups_Oone__class_Oone
% 0.96/1.50 ( tc_Nat_Onat ) ) ) ) }.
% 0.96/1.50 { ! class_Rings_Oring__1__no__zero__divisors( X ), Y =
% 0.96/1.50 c_Groups_Ozero__class_Ozero( X ), ! c_Power_Opower__class_Opower( X, Y, Z
% 0.96/1.50 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.50 { ! class_Groups_Omonoid__mult( X ), c_Groups_Otimes__class_Otimes( X,
% 0.96/1.50 c_Power_Opower__class_Opower( X, Z, Y ), Z ) =
% 0.96/1.50 c_Groups_Otimes__class_Otimes( X, Z, c_Power_Opower__class_Opower( X, Z,
% 0.96/1.50 Y ) ) }.
% 0.96/1.50 { ! class_Groups_Ocomm__monoid__mult( X ), c_Power_Opower__class_Opower( X
% 0.96/1.50 , c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.96/1.50 c_Groups_Otimes__class_Otimes( X, c_Power_Opower__class_Opower( X, T, Y )
% 0.96/1.50 , c_Power_Opower__class_Opower( X, Z, Y ) ) }.
% 0.96/1.50 { ! class_Groups_Omonoid__mult( X ), c_Power_Opower__class_Opower( X,
% 0.96/1.50 c_Groups_Oone__class_Oone( X ), Y ) = c_Groups_Oone__class_Oone( X ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__semiring__1( X ), ! c_Rings_Odvd__class_Odvd( X, Z,
% 0.96/1.50 Y ), c_Rings_Odvd__class_Odvd( X, c_Power_Opower__class_Opower( X, Z, T )
% 0.96/1.50 , c_Power_Opower__class_Opower( X, Y, T ) ) }.
% 0.96/1.50 { ! class_Fields_Ofield__inverse__zero( X ), c_Power_Opower__class_Opower(
% 0.96/1.50 X, c_Rings_Oinverse__class_Odivide( X, T, Z ), Y ) =
% 0.96/1.50 c_Rings_Oinverse__class_Odivide( X, c_Power_Opower__class_Opower( X, T, Y
% 0.96/1.50 ), c_Power_Opower__class_Opower( X, Z, Y ) ) }.
% 0.96/1.50 { ! class_Groups_Omonoid__mult( X ), c_Power_Opower__class_Opower( X, T,
% 0.96/1.50 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) ) =
% 0.96/1.50 c_Power_Opower__class_Opower( X, c_Power_Opower__class_Opower( X, T, Z )
% 0.96/1.50 , Y ) }.
% 0.96/1.50 { ! class_Groups_Omonoid__mult( X ), c_Power_Opower__class_Opower( X, Y,
% 0.96/1.50 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) = Y }.
% 0.96/1.50 { ! class_Rings_Olinordered__semidom( X ), !
% 0.96/1.50 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.96/1.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.96/1.50 ), c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X
% 0.96/1.50 , Z, T ), c_Power_Opower__class_Opower( X, Y, T ) ) }.
% 0.96/1.50 { ! class_Rings_Olinordered__semidom( X ), !
% 0.96/1.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.96/1.50 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.96/1.50 ), c_Power_Opower__class_Opower( X, Y, Z ) ) }.
% 0.96/1.50 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.96/1.50 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless
% 0.96/1.50 ( X, c_Groups_Ozero__class_Ozero( X ), c_Power_Opower__class_Opower( X, Y
% 0.96/1.50 , Z ) ) }.
% 0.96/1.50 { ! class_Rings_Olinordered__semidom( X ), !
% 0.96/1.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ), Y )
% 0.96/1.50 , c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.96/1.50 c_Power_Opower__class_Opower( X, Y, Z ) ) }.
% 0.96/1.50 { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), !
% 0.96/1.50 class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.96/1.50 , ! c_Power_Opower__class_Opower( X, Z, Y ) = c_Groups_Ozero__class_Ozero
% 0.96/1.50 ( X ), Z = c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.50 { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), !
% 0.96/1.50 class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.96/1.50 , ! c_Power_Opower__class_Opower( X, Z, Y ) = c_Groups_Ozero__class_Ozero
% 0.96/1.50 ( X ), ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.96/1.50 { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), !
% 0.96/1.50 class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.96/1.50 , ! Z = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero
% 0.96/1.50 ( tc_Nat_Onat ), c_Power_Opower__class_Opower( X, Z, Y ) =
% 0.96/1.50 c_Groups_Ozero__class_Ozero( X ) }.
% 0.96/1.50 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.96/1.50 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Power_Opower__class_Opower
% 0.96/1.50 ( X, Y, T ) = c_Power_Opower__class_Opower( X, Y, Z ), T = Z }.
% 0.96/1.50 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.96/1.50 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! T = Z,
% 0.96/1.50 c_Power_Opower__class_Opower( X, Y, T ) = c_Power_Opower__class_Opower( X
% 0.96/1.50 , Y, Z ) }.
% 0.96/1.50 { ! class_Groups_Ocancel__comm__monoid__add( X ),
% 0.96/1.50 class_Groups_Ocancel__comm__monoid__add( tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { class_Groups_Ocancel__comm__monoid__add( tc_Complex_Ocomplex ) }.
% 0.96/1.50 { class_Groups_Ocancel__comm__monoid__add( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Groups_Ocancel__comm__monoid__add( tc_Nat_Onat ) }.
% 0.96/1.50 { class_Groups_Ocancel__comm__monoid__add( tc_Int_Oint ) }.
% 0.96/1.50 { ! class_Lattices_Oboolean__algebra( X ), class_Lattices_Oboolean__algebra
% 0.96/1.50 ( tc_fun( Y, X ) ) }.
% 0.96/1.50 { ! class_Orderings_Opreorder( X ), class_Orderings_Opreorder( tc_fun( Y, X
% 0.96/1.50 ) ) }.
% 0.96/1.50 { ! class_Orderings_Oorder( X ), class_Orderings_Oorder( tc_fun( Y, X ) ) }
% 0.96/1.50 .
% 0.96/1.50 { ! class_Orderings_Oord( X ), class_Orderings_Oord( tc_fun( Y, X ) ) }.
% 0.96/1.50 { ! class_Groups_Ouminus( X ), class_Groups_Ouminus( tc_fun( Y, X ) ) }.
% 0.96/1.50 { ! class_Groups_Ominus( X ), class_Groups_Ominus( tc_fun( Y, X ) ) }.
% 0.96/1.50 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.96/1.50 tc_Int_Oint ) }.
% 0.96/1.50 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_Int_Oint ) }.
% 0.96/1.50 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Int_Oint ) }.
% 0.96/1.50 { class_Rings_Olinordered__comm__semiring__strict( tc_Int_Oint ) }.
% 0.96/1.50 { class_Rings_Olinordered__semiring__1__strict( tc_Int_Oint ) }.
% 0.96/1.50 { class_Rings_Olinordered__semiring__strict( tc_Int_Oint ) }.
% 0.96/1.50 { class_Groups_Oordered__ab__semigroup__add( tc_Int_Oint ) }.
% 0.96/1.50 { class_Groups_Oordered__comm__monoid__add( tc_Int_Oint ) }.
% 0.96/1.50 { class_Groups_Olinordered__ab__group__add( tc_Int_Oint ) }.
% 0.96/1.50 { class_Groups_Ocancel__ab__semigroup__add( tc_Int_Oint ) }.
% 0.96/1.50 { class_Rings_Oring__1__no__zero__divisors( tc_Int_Oint ) }.
% 0.96/1.50 { class_Rings_Oordered__cancel__semiring( tc_Int_Oint ) }.
% 0.96/1.50 { class_Rings_Olinordered__ring__strict( tc_Int_Oint ) }.
% 0.96/1.50 { class_Rings_Oring__no__zero__divisors( tc_Int_Oint ) }.
% 0.96/1.50 { class_Rings_Oordered__comm__semiring( tc_Int_Oint ) }.
% 0.96/1.50 { class_Rings_Olinordered__semiring__1( tc_Int_Oint ) }.
% 0.96/1.50 { class_Groups_Oordered__ab__group__add( tc_Int_Oint ) }.
% 0.96/1.50 { class_Groups_Ocancel__semigroup__add( tc_Int_Oint ) }.
% 0.96/1.50 { class_Rings_Olinordered__semiring( tc_Int_Oint ) }.
% 0.96/1.50 { class_Rings_Olinordered__semidom( tc_Int_Oint ) }.
% 0.96/1.50 { class_Groups_Oab__semigroup__mult( tc_Int_Oint ) }.
% 0.96/1.50 { class_Groups_Ocomm__monoid__mult( tc_Int_Oint ) }.
% 0.96/1.50 { class_Groups_Oab__semigroup__add( tc_Int_Oint ) }.
% 0.96/1.50 { class_Rings_Oordered__semiring( tc_Int_Oint ) }.
% 0.96/1.50 { class_Rings_Ono__zero__divisors( tc_Int_Oint ) }.
% 0.96/1.50 { class_Groups_Ocomm__monoid__add( tc_Int_Oint ) }.
% 0.96/1.50 { class_Rings_Olinordered__ring( tc_Int_Oint ) }.
% 0.96/1.50 { class_Rings_Olinordered__idom( tc_Int_Oint ) }.
% 0.96/1.50 { class_Rings_Ocomm__semiring__1( tc_Int_Oint ) }.
% 0.96/1.50 { class_Rings_Ocomm__semiring__0( tc_Int_Oint ) }.
% 0.96/1.50 { class_Divides_Osemiring__div( tc_Int_Oint ) }.
% 0.96/1.50 { class_Rings_Ocomm__semiring( tc_Int_Oint ) }.
% 0.96/1.50 { class_Groups_Oab__group__add( tc_Int_Oint ) }.
% 0.96/1.50 { class_Rings_Ozero__neq__one( tc_Int_Oint ) }.
% 0.96/1.50 { class_Rings_Oordered__ring( tc_Int_Oint ) }.
% 0.96/1.50 { class_Orderings_Opreorder( tc_Int_Oint ) }.
% 0.96/1.50 { class_Orderings_Olinorder( tc_Int_Oint ) }.
% 0.96/1.50 { class_Groups_Omonoid__mult( tc_Int_Oint ) }.
% 0.96/1.50 { class_Rings_Ocomm__ring__1( tc_Int_Oint ) }.
% 0.96/1.50 { class_Groups_Omonoid__add( tc_Int_Oint ) }.
% 0.96/1.50 { class_Rings_Osemiring__0( tc_Int_Oint ) }.
% 0.96/1.50 { class_Groups_Ogroup__add( tc_Int_Oint ) }.
% 0.96/1.50 { class_Divides_Oring__div( tc_Int_Oint ) }.
% 0.96/1.50 { class_Rings_Omult__zero( tc_Int_Oint ) }.
% 0.96/1.50 { class_Rings_Ocomm__ring( tc_Int_Oint ) }.
% 0.96/1.50 { class_Orderings_Oorder( tc_Int_Oint ) }.
% 0.96/1.50 { class_Int_Oring__char__0( tc_Int_Oint ) }.
% 0.96/1.50 { class_Rings_Osemiring( tc_Int_Oint ) }.
% 0.96/1.50 { class_Orderings_Oord( tc_Int_Oint ) }.
% 0.96/1.50 { class_Groups_Ouminus( tc_Int_Oint ) }.
% 0.96/1.50 { class_Groups_Osgn__if( tc_Int_Oint ) }.
% 0.96/1.50 { class_Rings_Oring__1( tc_Int_Oint ) }.
% 0.96/1.50 { class_Groups_Ominus( tc_Int_Oint ) }.
% 0.96/1.50 { class_Power_Opower( tc_Int_Oint ) }.
% 0.96/1.50 { class_Groups_Ozero( tc_Int_Oint ) }.
% 0.96/1.50 { class_Rings_Oring( tc_Int_Oint ) }.
% 0.96/1.50 { class_Rings_Oidom( tc_Int_Oint ) }.
% 0.96/1.50 { class_Groups_Oone( tc_Int_Oint ) }.
% 0.96/1.50 { class_Rings_Odvd( tc_Int_Oint ) }.
% 0.96/1.50 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.96/1.50 tc_Nat_Onat ) }.
% 0.96/1.50 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.96/1.50 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Nat_Onat ) }.
% 0.96/1.50 { class_Rings_Olinordered__comm__semiring__strict( tc_Nat_Onat ) }.
% 0.96/1.50 { class_Rings_Olinordered__semiring__strict( tc_Nat_Onat ) }.
% 0.96/1.50 { class_Groups_Oordered__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.96/1.50 { class_Groups_Oordered__comm__monoid__add( tc_Nat_Onat ) }.
% 0.96/1.50 { class_Groups_Ocancel__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.96/1.50 { class_Rings_Oordered__cancel__semiring( tc_Nat_Onat ) }.
% 0.96/1.50 { class_Rings_Oordered__comm__semiring( tc_Nat_Onat ) }.
% 0.96/1.50 { class_Groups_Ocancel__semigroup__add( tc_Nat_Onat ) }.
% 0.96/1.50 { class_Rings_Olinordered__semiring( tc_Nat_Onat ) }.
% 0.96/1.50 { class_Rings_Olinordered__semidom( tc_Nat_Onat ) }.
% 0.96/1.50 { class_Groups_Oab__semigroup__mult( tc_Nat_Onat ) }.
% 0.96/1.50 { class_Groups_Ocomm__monoid__mult( tc_Nat_Onat ) }.
% 0.96/1.50 { class_Groups_Oab__semigroup__add( tc_Nat_Onat ) }.
% 0.96/1.50 { class_Rings_Oordered__semiring( tc_Nat_Onat ) }.
% 0.96/1.50 { class_Rings_Ono__zero__divisors( tc_Nat_Onat ) }.
% 0.96/1.50 { class_Groups_Ocomm__monoid__add( tc_Nat_Onat ) }.
% 0.96/1.50 { class_Rings_Ocomm__semiring__1( tc_Nat_Onat ) }.
% 0.96/1.50 { class_Rings_Ocomm__semiring__0( tc_Nat_Onat ) }.
% 0.96/1.50 { class_Divides_Osemiring__div( tc_Nat_Onat ) }.
% 0.96/1.50 { class_Rings_Ocomm__semiring( tc_Nat_Onat ) }.
% 0.96/1.50 { class_Rings_Ozero__neq__one( tc_Nat_Onat ) }.
% 0.96/1.50 { class_Orderings_Opreorder( tc_Nat_Onat ) }.
% 0.96/1.50 { class_Orderings_Olinorder( tc_Nat_Onat ) }.
% 0.96/1.50 { class_Groups_Omonoid__mult( tc_Nat_Onat ) }.
% 0.96/1.50 { class_Groups_Omonoid__add( tc_Nat_Onat ) }.
% 0.96/1.50 { class_Rings_Osemiring__0( tc_Nat_Onat ) }.
% 0.96/1.50 { class_Rings_Omult__zero( tc_Nat_Onat ) }.
% 0.96/1.50 { class_Orderings_Oorder( tc_Nat_Onat ) }.
% 0.96/1.50 { class_Rings_Osemiring( tc_Nat_Onat ) }.
% 0.96/1.50 { class_Orderings_Oord( tc_Nat_Onat ) }.
% 0.96/1.50 { class_Groups_Ominus( tc_Nat_Onat ) }.
% 0.96/1.50 { class_Power_Opower( tc_Nat_Onat ) }.
% 0.96/1.50 { class_Groups_Ozero( tc_Nat_Onat ) }.
% 0.96/1.50 { class_Groups_Oone( tc_Nat_Onat ) }.
% 0.96/1.50 { class_Rings_Odvd( tc_Nat_Onat ) }.
% 0.96/1.50 { class_Lattices_Oboolean__algebra( tc_HOL_Obool ) }.
% 0.96/1.50 { class_Orderings_Opreorder( tc_HOL_Obool ) }.
% 0.96/1.50 { class_Orderings_Oorder( tc_HOL_Obool ) }.
% 0.96/1.50 { class_Orderings_Oord( tc_HOL_Obool ) }.
% 0.96/1.50 { class_Groups_Ouminus( tc_HOL_Obool ) }.
% 0.96/1.50 { class_Groups_Ominus( tc_HOL_Obool ) }.
% 0.96/1.50 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.96/1.50 tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_RealDef_Oreal ) }
% 0.96/1.50 .
% 0.96/1.50 { class_Rings_Olinordered__comm__semiring__strict( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Fields_Olinordered__field__inverse__zero( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Rings_Olinordered__semiring__1__strict( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_RealVector_Oreal__normed__div__algebra( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Rings_Olinordered__semiring__strict( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Rings_Odivision__ring__inverse__zero( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_RealVector_Oreal__normed__algebra__1( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Groups_Oordered__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_RealVector_Oreal__normed__algebra( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Groups_Oordered__comm__monoid__add( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Groups_Olinordered__ab__group__add( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Groups_Ocancel__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Rings_Oring__1__no__zero__divisors( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Rings_Oordered__cancel__semiring( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_RealVector_Oreal__normed__vector( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Rings_Olinordered__ring__strict( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_RealVector_Oreal__normed__field( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Rings_Oring__no__zero__divisors( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Rings_Oordered__comm__semiring( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Rings_Olinordered__semiring__1( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Groups_Oordered__ab__group__add( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Groups_Ocancel__semigroup__add( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Rings_Olinordered__semiring( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Fields_Ofield__inverse__zero( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Rings_Olinordered__semidom( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Groups_Oab__semigroup__mult( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Groups_Ocomm__monoid__mult( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Groups_Oab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Fields_Olinordered__field( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Rings_Oordered__semiring( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Rings_Ono__zero__divisors( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Groups_Ocomm__monoid__add( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Rings_Olinordered__ring( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Rings_Olinordered__idom( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Rings_Ocomm__semiring__1( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Rings_Ocomm__semiring__0( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_RealVector_Oreal__field( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Rings_Odivision__ring( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Rings_Ocomm__semiring( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Groups_Oab__group__add( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Rings_Ozero__neq__one( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Rings_Oordered__ring( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Orderings_Opreorder( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Orderings_Olinorder( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Groups_Omonoid__mult( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Rings_Ocomm__ring__1( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Groups_Omonoid__add( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Rings_Osemiring__0( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Groups_Ogroup__add( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Rings_Omult__zero( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Rings_Ocomm__ring( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Orderings_Oorder( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Int_Oring__char__0( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Rings_Osemiring( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Orderings_Oord( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Groups_Ouminus( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Groups_Osgn__if( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Rings_Oring__1( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Groups_Ominus( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Fields_Ofield( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Power_Opower( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Groups_Ozero( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Rings_Oring( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Rings_Oidom( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Groups_Oone( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Rings_Odvd( tc_RealDef_Oreal ) }.
% 0.96/1.50 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.96/1.50 tc_Complex_Ocomplex ) }.
% 0.96/1.50 { class_RealVector_Oreal__normed__div__algebra( tc_Complex_Ocomplex ) }.
% 0.96/1.50 { class_Rings_Odivision__ring__inverse__zero( tc_Complex_Ocomplex ) }.
% 0.96/1.50 { class_RealVector_Oreal__normed__algebra__1( tc_Complex_Ocomplex ) }.
% 0.96/1.50 { class_RealVector_Oreal__normed__algebra( tc_Complex_Ocomplex ) }.
% 0.96/1.50 { class_Groups_Ocancel__ab__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.96/1.50 { class_Rings_Oring__1__no__zero__divisors( tc_Complex_Ocomplex ) }.
% 0.96/1.50 { class_RealVector_Oreal__normed__vector( tc_Complex_Ocomplex ) }.
% 0.96/1.50 { class_RealVector_Oreal__normed__field( tc_Complex_Ocomplex ) }.
% 0.96/1.50 { class_Rings_Oring__no__zero__divisors( tc_Complex_Ocomplex ) }.
% 0.96/1.50 { class_Groups_Ocancel__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.96/1.50 { class_Fields_Ofield__inverse__zero( tc_Complex_Ocomplex ) }.
% 0.96/1.50 { class_Groups_Oab__semigroup__mult( tc_Complex_Ocomplex ) }.
% 0.96/1.50 { class_Groups_Ocomm__monoid__mult( tc_Complex_Ocomplex ) }.
% 0.96/1.50 { class_Groups_Oab__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.96/1.50 { class_Rings_Ono__zero__divisors( tc_Complex_Ocomplex ) }.
% 0.96/1.50 { class_Groups_Ocomm__monoid__add( tc_Complex_Ocomplex ) }.
% 0.96/1.50 { class_Rings_Ocomm__semiring__1( tc_Complex_Ocomplex ) }.
% 0.96/1.50 { class_Rings_Ocomm__semiring__0( tc_Complex_Ocomplex ) }.
% 0.96/1.50 { class_RealVector_Oreal__field( tc_Complex_Ocomplex ) }.
% 0.96/1.50 { class_Rings_Odivision__ring( tc_Complex_Ocomplex ) }.
% 0.96/1.50 { class_Rings_Ocomm__semiring( tc_Complex_Ocomplex ) }.
% 0.96/1.50 { class_Groups_Oab__group__add( tc_Complex_Ocomplex ) }.
% 0.96/1.50 { class_Rings_Ozero__neq__one( tc_Complex_Ocomplex ) }.
% 0.96/1.50 { class_Groups_Omonoid__mult( tc_Complex_Ocomplex ) }.
% 0.96/1.50 { class_Rings_Ocomm__ring__1( tc_Complex_Ocomplex ) }.
% 0.96/1.50 { class_Groups_Omonoid__add( tc_Complex_Ocomplex ) }.
% 0.96/1.50 { class_Rings_Osemiring__0( tc_Complex_Ocomplex ) }.
% 0.96/1.50 { class_Groups_Ogroup__add( tc_Complex_Ocomplex ) }.
% 0.96/1.50 { class_Rings_Omult__zero( tc_Complex_Ocomplex ) }.
% 0.96/1.50 { class_Rings_Ocomm__ring( tc_Complex_Ocomplex ) }.
% 0.96/1.50 { class_Int_Oring__char__0( tc_Complex_Ocomplex ) }.
% 0.96/1.50 { class_Rings_Osemiring( tc_Complex_Ocomplex ) }.
% 0.96/1.50 { class_Groups_Ouminus( tc_Complex_Ocomplex ) }.
% 0.96/1.50 { class_Rings_Oring__1( tc_Complex_Ocomplex ) }.
% 0.96/1.50 { class_Groups_Ominus( tc_Complex_Ocomplex ) }.
% 0.96/1.50 { class_Fields_Ofield( tc_Complex_Ocomplex ) }.
% 0.96/1.50 { class_Power_Opower( tc_Complex_Ocomplex ) }.
% 0.96/1.50 { class_Groups_Ozero( tc_Complex_Ocomplex ) }.
% 0.96/1.50 { class_Rings_Oring( tc_Complex_Ocomplex ) }.
% 0.96/1.50 { class_Rings_Oidom( tc_Complex_Ocomplex ) }.
% 0.96/1.50 { class_Groups_Oone( tc_Complex_Ocomplex ) }.
% 0.96/1.50 { class_Rings_Odvd( tc_Complex_Ocomplex ) }.
% 0.96/1.50 { ! class_Rings_Oidom( X ),
% 0.96/1.50 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Rings_Olinordered__idom( X ),
% 0.96/1.50 class_Groups_Oordered__cancel__ab__semigroup__add( tc_Polynomial_Opoly( X
% 0.96/1.50 ) ) }.
% 0.96/1.50 { ! class_Rings_Olinordered__idom( X ),
% 0.96/1.50 class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Polynomial_Opoly(
% 0.96/1.50 X ) ) }.
% 0.96/1.50 { ! class_Rings_Olinordered__idom( X ),
% 0.96/1.50 class_Rings_Olinordered__comm__semiring__strict( tc_Polynomial_Opoly( X )
% 0.96/1.50 ) }.
% 0.96/1.50 { ! class_Rings_Olinordered__idom( X ),
% 0.96/1.50 class_Rings_Olinordered__semiring__1__strict( tc_Polynomial_Opoly( X ) )
% 0.96/1.50 }.
% 0.96/1.50 { ! class_Rings_Olinordered__idom( X ),
% 0.96/1.50 class_Rings_Olinordered__semiring__strict( tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Rings_Olinordered__idom( X ),
% 0.96/1.50 class_Groups_Oordered__ab__semigroup__add( tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Rings_Olinordered__idom( X ),
% 0.96/1.50 class_Groups_Oordered__comm__monoid__add( tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Rings_Olinordered__idom( X ),
% 0.96/1.50 class_Groups_Olinordered__ab__group__add( tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Groups_Ocancel__comm__monoid__add( X ),
% 0.96/1.50 class_Groups_Ocancel__ab__semigroup__add( tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Rings_Oidom( X ), class_Rings_Oring__1__no__zero__divisors(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Rings_Olinordered__idom( X ),
% 0.96/1.50 class_Rings_Oordered__cancel__semiring( tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Rings_Olinordered__idom( X ),
% 0.96/1.50 class_Rings_Olinordered__ring__strict( tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Rings_Oidom( X ), class_Rings_Oring__no__zero__divisors(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Rings_Olinordered__idom( X ),
% 0.96/1.50 class_Rings_Oordered__comm__semiring( tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Rings_Olinordered__idom( X ),
% 0.96/1.50 class_Rings_Olinordered__semiring__1( tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Rings_Olinordered__idom( X ),
% 0.96/1.50 class_Groups_Oordered__ab__group__add( tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Groups_Ocancel__comm__monoid__add( X ),
% 0.96/1.50 class_Groups_Ocancel__semigroup__add( tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Rings_Olinordered__idom( X ), class_Rings_Olinordered__semiring(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Rings_Olinordered__idom( X ), class_Rings_Olinordered__semidom(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__semiring__0( X ), class_Groups_Oab__semigroup__mult
% 0.96/1.50 ( tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__semiring__1( X ), class_Groups_Ocomm__monoid__mult(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Groups_Ocomm__monoid__add( X ), class_Groups_Oab__semigroup__add
% 0.96/1.50 ( tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Rings_Olinordered__idom( X ), class_Rings_Oordered__semiring(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Rings_Oidom( X ), class_Rings_Ono__zero__divisors(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Groups_Ocomm__monoid__add( X ), class_Groups_Ocomm__monoid__add(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Rings_Olinordered__idom( X ), class_Rings_Olinordered__ring(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Rings_Olinordered__idom( X ), class_Rings_Olinordered__idom(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__semiring__1( X ), class_Rings_Ocomm__semiring__1(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__semiring__0( X ), class_Rings_Ocomm__semiring__0(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Fields_Ofield( X ), class_Divides_Osemiring__div(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__semiring__0( X ), class_Rings_Ocomm__semiring(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Groups_Oab__group__add( X ), class_Groups_Oab__group__add(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__semiring__1( X ), class_Rings_Ozero__neq__one(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Rings_Olinordered__idom( X ), class_Rings_Oordered__ring(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Rings_Olinordered__idom( X ), class_Orderings_Opreorder(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Rings_Olinordered__idom( X ), class_Orderings_Olinorder(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__semiring__1( X ), class_Groups_Omonoid__mult(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__ring__1( X ), class_Rings_Ocomm__ring__1(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Groups_Ocomm__monoid__add( X ), class_Groups_Omonoid__add(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__semiring__0( X ), class_Rings_Osemiring__0(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Groups_Oab__group__add( X ), class_Groups_Ogroup__add(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Fields_Ofield( X ), class_Divides_Oring__div( tc_Polynomial_Opoly
% 0.96/1.50 ( X ) ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__semiring__0( X ), class_Rings_Omult__zero(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__ring( X ), class_Rings_Ocomm__ring(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Rings_Olinordered__idom( X ), class_Orderings_Oorder(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Rings_Olinordered__idom( X ), class_Int_Oring__char__0(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__semiring__0( X ), class_Rings_Osemiring(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Rings_Olinordered__idom( X ), class_Orderings_Oord(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Groups_Oab__group__add( X ), class_Groups_Ouminus(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Rings_Olinordered__idom( X ), class_Groups_Osgn__if(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__ring__1( X ), class_Rings_Oring__1(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Groups_Oab__group__add( X ), class_Groups_Ominus(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__semiring__1( X ), class_Power_Opower(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Groups_Ozero( X ), class_Groups_Ozero( tc_Polynomial_Opoly( X ) )
% 0.96/1.50 }.
% 0.96/1.50 { ! class_Rings_Ocomm__ring( X ), class_Rings_Oring( tc_Polynomial_Opoly( X
% 0.96/1.50 ) ) }.
% 0.96/1.50 { ! class_Rings_Oidom( X ), class_Rings_Oidom( tc_Polynomial_Opoly( X ) ) }
% 0.96/1.50 .
% 0.96/1.50 { ! class_Rings_Ocomm__semiring__1( X ), class_Groups_Oone(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! class_Rings_Ocomm__semiring__1( X ), class_Rings_Odvd(
% 0.96/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.96/1.50 { ! hBOOL( c_fequal( Y, X ) ), Y = X }.
% 0.96/1.50 { ! Y = X, hBOOL( c_fequal( Y, X ) ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.96/1.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.96/1.50 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.96/1.50 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, skol31( Y ), v_z ) )
% 0.96/1.50 ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.96/1.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.50 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.96/1.50 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, hAPP(
% 0.96/1.50 c_Polynomial_Opoly( tc_Complex_Ocomplex, c_Polynomial_OpCons(
% 0.96/1.50 tc_Complex_Ocomplex, v_c____, v_cs____ ) ), c_Groups_Ominus__class_Ominus
% 0.96/1.50 ( tc_Complex_Ocomplex, skol31( Y ), v_z ) ), hAPP( c_Polynomial_Opoly(
% 0.96/1.50 tc_Complex_Ocomplex, c_Polynomial_OpCons( tc_Complex_Ocomplex, v_c____,
% 0.96/1.50 v_cs____ ) ), c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, v_z,
% 0.96/1.50 v_z ) ) ) ), v_e ) }.
% 0.96/1.50 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.96/1.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.96/1.50 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.96/1.50 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, skol31( X ), v_z ) )
% 0.96/1.50 , X ) }.
% 0.96/1.50
% 0.96/1.50 *** allocated 15000 integers for clauses
% 0.96/1.50 *** allocated 22500 integers for clauses
% 0.96/1.50 *** allocated 33750 integers for clauses
% 0.96/1.50 *** allocated 50625 integers for clauses
% 0.96/1.50 *** allocated 75937 integers for clauses
% 0.96/1.50 percentage equality = 0.243250, percentage horn = 0.899700
% 0.96/1.50 This is a problem with some equality
% 0.96/1.50
% 0.96/1.50
% 0.96/1.50
% 0.96/1.50 Options Used:
% 0.96/1.50
% 0.96/1.50 useres = 1
% 0.96/1.50 useparamod = 1
% 0.96/1.50 useeqrefl = 1
% 0.96/1.50 useeqfact = 1
% 0.96/1.50 usefactor = 1
% 0.96/1.50 usesimpsplitting = 0
% 0.96/1.50 usesimpdemod = 5
% 0.96/1.50 usesimpres = 3
% 0.96/1.50
% 0.96/1.50 resimpinuse = 1000
% 0.96/1.50 resimpclauses = 20000
% 0.96/1.50 substype = eqrewr
% 0.96/1.50 backwardsubs = 1
% 0.96/1.50 selectoldest = 5
% 0.96/1.50
% 0.96/1.50 litorderings [0] = split
% 0.96/1.50 litorderings [1] = extend the termordering, first sorting on arguments
% 0.96/1.50
% 0.96/1.50 termordering = kbo
% 0.96/1.50
% 0.96/1.50 litapriori = 0
% 0.96/1.50 termapriori = 1
% 0.96/1.50 litaposteriori = 0
% 0.96/1.50 termaposteriori = 0
% 0.96/1.50 demodaposteriori = 0
% 0.96/1.50 ordereqreflfact = 0
% 0.96/1.50
% 0.96/1.50 litselect = negord
% 0.96/1.50
% 0.96/1.50 maxweight = 15
% 0.96/1.50 maxdepth = 30000
% 0.96/1.50 maxlength = 115
% 0.96/1.50 maxnrvars = 195
% 0.96/1.50 excuselevel = 1
% 0.96/1.50 increasemaxweight = 1
% 0.96/1.50
% 0.96/1.50 maxselected = 10000000
% 0.96/1.50 maxnrclauses = 10000000
% 0.96/1.50
% 0.96/1.50 showgenerated = 0
% 0.96/1.50 showkept = 0
% 0.96/1.50 showselected = 0
% 0.96/1.50 showdeleted = 0
% 0.96/1.50 showresimp = 1
% 0.96/1.50 showstatus = 2000
% 0.96/1.50
% 0.96/1.50 prologoutput = 0
% 0.96/1.50 nrgoals = 5000000
% 0.96/1.50 totalproof = 1
% 0.96/1.50
% 0.96/1.50 Symbols occurring in the translation:
% 0.96/1.50
% 0.96/1.50 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.96/1.50 . [1, 2] (w:1, o:201, a:1, s:1, b:0),
% 0.96/1.50 ! [4, 1] (w:0, o:111, a:1, s:1, b:0),
% 0.96/1.50 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.96/1.50 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.96/1.50 hAPP [38, 2] (w:1, o:225, a:1, s:1, b:0),
% 0.96/1.50 tc_RealDef_Oreal [39, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.96/1.50 c_Groups_Ozero__class_Ozero [40, 1] (w:1, o:116, a:1, s:1, b:0),
% 0.96/1.50 v_e [41, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.96/1.50 c_Orderings_Oord__class_Oless [42, 3] (w:1, o:253, a:1, s:1, b:0),
% 0.96/1.50 v_d____ [43, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.96/1.50 v_m____ [44, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.96/1.50 tc_Complex_Ocomplex [47, 0] (w:1, o:25, a:1, s:1, b:0),
% 0.96/1.50 v_z [48, 0] (w:1, o:26, a:1, s:1, b:0),
% 0.96/1.50 c_Groups_Ominus__class_Ominus [49, 3] (w:1, o:255, a:1, s:1, b:0),
% 0.96/1.50 c_RealVector_Onorm__class_Onorm [50, 2] (w:1, o:226, a:1, s:1, b:0),
% 0.96/1.50
% 0.96/1.50 v_cs____ [51, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.96/1.50 c_Polynomial_Opoly [52, 2] (w:1, o:227, a:1, s:1, b:0),
% 0.96/1.50 class_RealVector_Oreal__normed__vector [55, 1] (w:1, o:117, a:1, s:1
% 0.96/1.50 , b:0),
% 0.96/1.50 v_q____ [58, 0] (w:1, o:36, a:1, s:1, b:0),
% 0.96/1.50 v_p [59, 0] (w:1, o:35, a:1, s:1, b:0),
% 0.96/1.50 class_Groups_Oordered__ab__group__add [62, 1] (w:1, o:122, a:1, s:1
% 0.96/1.50 , b:0),
% 0.96/1.50 class_Rings_Ocomm__ring [65, 1] (w:1, o:123, a:1, s:1, b:0),
% 0.96/1.50 tc_Polynomial_Opoly [66, 1] (w:1, o:128, a:1, s:1, b:0),
% 0.96/1.50 class_Rings_Ocomm__semiring__0 [67, 1] (w:1, o:130, a:1, s:1, b:0),
% 0.96/1.50 class_Groups_Oab__group__add [70, 1] (w:1, o:131, a:1, s:1, b:0),
% 0.96/1.50 c_Polynomial_OpCons [71, 3] (w:1, o:258, a:1, s:1, b:0),
% 0.96/1.50 class_Groups_Ozero [72, 1] (w:1, o:132, a:1, s:1, b:0),
% 0.96/1.50 c_Groups_Oone__class_Oone [74, 1] (w:1, o:133, a:1, s:1, b:0),
% 0.96/1.50 c_Rings_Oinverse__class_Odivide [75, 3] (w:1, o:259, a:1, s:1, b:0),
% 0.96/1.50
% 0.96/1.50 c_Polynomial_Odegree [76, 2] (w:1, o:228, a:1, s:1, b:0),
% 0.96/1.50 class_Int_Oring__char__0 [77, 1] (w:1, o:134, a:1, s:1, b:0),
% 0.96/1.50 class_Rings_Oidom [78, 1] (w:1, o:135, a:1, s:1, b:0),
% 0.96/1.50 class_Groups_Ogroup__add [82, 1] (w:1, o:136, a:1, s:1, b:0),
% 0.96/1.50 c_Groups_Oplus__class_Oplus [83, 3] (w:1, o:260, a:1, s:1, b:0),
% 0.96/1.50 c_Groups_Otimes__class_Otimes [84, 3] (w:1, o:261, a:1, s:1, b:0),
% 0.96/1.50 class_Rings_Olinordered__idom [85, 1] (w:1, o:137, a:1, s:1, b:0),
% 0.96/1.50 c_Polynomial_Opos__poly [86, 2] (w:1, o:229, a:1, s:1, b:0),
% 0.96/1.50 c_Polynomial_Oorder [87, 3] (w:1, o:257, a:1, s:1, b:0),
% 0.96/1.50 tc_Nat_Onat [88, 0] (w:1, o:50, a:1, s:1, b:0),
% 0.96/1.50 c_Polynomial_Opoly__rec [91, 5] (w:1, o:337, a:1, s:1, b:0),
% 0.96/1.50 c_Orderings_Oord__class_Oless__eq [93, 3] (w:1, o:256, a:1, s:1, b:0)
% 0.96/1.50 ,
% 0.96/1.50 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize [94, 2] (w:1, o:230
% 0.96/1.50 , a:1, s:1, b:0),
% 0.96/1.50 c_fequal [95, 2] (w:1, o:231, a:1, s:1, b:0),
% 0.96/1.50 c_If [96, 4] (w:1, o:310, a:1, s:1, b:0),
% 0.96/1.50 c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly [98, 3] (w:1
% 0.96/1.50 , o:254, a:1, s:1, b:0),
% 0.96/1.50 class_RealVector_Oreal__normed__algebra [100, 1] (w:1, o:138, a:1, s:
% 0.96/1.50 1, b:0),
% 0.96/1.50 class_Groups_Omonoid__mult [101, 1] (w:1, o:140, a:1, s:1, b:0),
% 0.96/1.50 class_Groups_Ocomm__monoid__mult [102, 1] (w:1, o:141, a:1, s:1, b:0)
% 0.96/1.50 ,
% 0.96/1.50 class_Groups_Oone [103, 1] (w:1, o:142, a:1, s:1, b:0),
% 0.96/1.50 class_Groups_Oab__semigroup__add [107, 1] (w:1, o:143, a:1, s:1, b:0)
% 0.96/1.50 ,
% 0.96/1.50 class_Groups_Oab__semigroup__mult [108, 1] (w:1, o:144, a:1, s:1, b:0
% 0.96/1.50 ),
% 0.96/1.50 class_RealVector_Oreal__normed__field [111, 1] (w:1, o:145, a:1, s:1
% 0.96/1.50 , b:0),
% 0.96/1.50 class_Groups_Ocancel__semigroup__add [112, 1] (w:1, o:146, a:1, s:1
% 0.96/1.50 , b:0),
% 0.96/1.50 class_Groups_Oordered__ab__semigroup__add__imp__le [113, 1] (w:1, o:
% 0.96/1.50 147, a:1, s:1, b:0),
% 0.96/1.50 class_Groups_Oordered__ab__semigroup__add [114, 1] (w:1, o:148, a:1
% 0.96/1.50 , s:1, b:0),
% 0.96/1.50 class_Groups_Ocancel__ab__semigroup__add [116, 1] (w:1, o:149, a:1
% 0.96/1.50 , s:1, b:0),
% 0.96/1.50 class_Groups_Oordered__comm__monoid__add [117, 1] (w:1, o:150, a:1
% 0.96/1.50 , s:1, b:0),
% 0.96/1.50 class_Groups_Olinordered__ab__group__add [119, 1] (w:1, o:139, a:1
% 0.96/1.50 , s:1, b:0),
% 0.96/1.50 class_Groups_Oordered__cancel__ab__semigroup__add [120, 1] (w:1, o:
% 0.96/1.50 151, a:1, s:1, b:0),
% 0.96/1.50 class_Fields_Ofield__inverse__zero [121, 1] (w:1, o:118, a:1, s:1, b:
% 0.96/1.50 0),
% 0.96/1.50 class_RealVector_Oreal__normed__div__algebra [122, 1] (w:1, o:152, a:
% 0.96/1.50 1, s:1, b:0),
% 0.96/1.50 class_RealVector_Oreal__normed__algebra__1 [123, 1] (w:1, o:153, a:1
% 0.96/1.50 , s:1, b:0),
% 0.96/1.50 class_Groups_Ocomm__monoid__add [124, 1] (w:1, o:154, a:1, s:1, b:0)
% 0.96/1.50 ,
% 0.96/1.50 class_Rings_Ocomm__semiring__1 [125, 1] (w:1, o:155, a:1, s:1, b:0),
% 0.96/1.50
% 0.96/1.50 class_Groups_Omonoid__add [128, 1] (w:1, o:156, a:1, s:1, b:0),
% 0.96/1.50 class_Rings_Olinordered__semiring__1__strict [136, 1] (w:1, o:159, a:
% 0.96/1.50 1, s:1, b:0),
% 0.96/1.50 class_Fields_Olinordered__field__inverse__zero [137, 1] (w:1, o:119
% 0.96/1.50 , a:1, s:1, b:0),
% 0.96/1.50 class_Fields_Olinordered__field [138, 1] (w:1, o:120, a:1, s:1, b:0)
% 0.96/1.50 ,
% 0.96/1.50 class_Rings_Ono__zero__divisors [140, 1] (w:1, o:166, a:1, s:1, b:0)
% 0.96/1.50 ,
% 0.96/1.50 class_Rings_Oring__no__zero__divisors [141, 1] (w:1, o:167, a:1, s:1
% 0.96/1.50 , b:0),
% 0.96/1.50 class_Rings_Omult__zero [142, 1] (w:1, o:165, a:1, s:1, b:0),
% 0.96/1.50 class_Rings_Ozero__neq__one [143, 1] (w:1, o:168, a:1, s:1, b:0),
% 0.96/1.50 class_Rings_Ocomm__semiring [144, 1] (w:1, o:169, a:1, s:1, b:0),
% 0.96/1.50 class_Rings_Osemiring [146, 1] (w:1, o:173, a:1, s:1, b:0),
% 0.96/1.50 class_Rings_Odivision__ring__inverse__zero [147, 1] (w:1, o:174, a:1
% 0.96/1.50 , s:1, b:0),
% 0.96/1.50 class_Rings_Odivision__ring [148, 1] (w:1, o:175, a:1, s:1, b:0),
% 0.96/1.50 class_Rings_Oordered__cancel__semiring [149, 1] (w:1, o:176, a:1, s:1
% 0.96/1.50 , b:0),
% 0.96/1.50 class_Rings_Oordered__ring [150, 1] (w:1, o:177, a:1, s:1, b:0),
% 0.96/1.50 class_Rings_Oordered__semiring [151, 1] (w:1, o:178, a:1, s:1, b:0),
% 0.96/1.50
% 0.96/1.50 class_Rings_Oordered__comm__semiring [152, 1] (w:1, o:179, a:1, s:1
% 0.96/1.50 , b:0),
% 0.96/1.50 class_Rings_Olinordered__ring__strict [153, 1] (w:1, o:157, a:1, s:1
% 0.96/1.50 , b:0),
% 0.96/1.50 class_Rings_Olinordered__ring [154, 1] (w:1, o:158, a:1, s:1, b:0),
% 0.96/1.50 class_Rings_Olinordered__comm__semiring__strict [155, 1] (w:1, o:160
% 0.96/1.50 , a:1, s:1, b:0),
% 0.96/1.50 class_Rings_Olinordered__semiring__strict [156, 1] (w:1, o:161, a:1
% 0.96/1.50 , s:1, b:0),
% 0.96/1.50 class_Rings_Olinordered__semidom [157, 1] (w:1, o:162, a:1, s:1, b:0)
% 0.96/1.50 ,
% 0.96/1.50 class_Rings_Oring [160, 1] (w:1, o:170, a:1, s:1, b:0),
% 0.96/1.50 class_Fields_Ofield [161, 1] (w:1, o:121, a:1, s:1, b:0),
% 0.96/1.50 class_Rings_Olinordered__semiring [162, 1] (w:1, o:163, a:1, s:1, b:0
% 0.96/1.50 ),
% 0.96/1.50 class_Rings_Olinordered__semiring__1 [163, 1] (w:1, o:164, a:1, s:1
% 0.96/1.50 , b:0),
% 0.96/1.50 class_RealVector_Oreal__field [164, 1] (w:1, o:180, a:1, s:1, b:0),
% 0.96/1.50 class_Rings_Oring__1 [165, 1] (w:1, o:171, a:1, s:1, b:0),
% 0.96/1.50 hBOOL [180, 1] (w:1, o:181, a:1, s:1, b:0),
% 0.96/1.50 c_Polynomial_Opcompose [185, 3] (w:1, o:262, a:1, s:1, b:0),
% 0.96/1.50 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct [
% 0.96/1.50 190, 1] (w:1, o:184, a:1, s:1, b:0),
% 0.96/1.50 class_Orderings_Opreorder [192, 1] (w:1, o:187, a:1, s:1, b:0),
% 0.96/1.50 class_Orderings_Olinorder [193, 1] (w:1, o:188, a:1, s:1, b:0),
% 0.96/1.50 class_Orderings_Oord [194, 1] (w:1, o:185, a:1, s:1, b:0),
% 0.96/1.50 tc_fun [195, 2] (w:1, o:244, a:1, s:1, b:0),
% 0.96/1.50 class_Orderings_Oorder [196, 1] (w:1, o:186, a:1, s:1, b:0),
% 0.96/1.50 c_Complex_Oii [198, 0] (w:1, o:100, a:1, s:1, b:0),
% 0.96/1.50 c_Polynomial_Opdivmod__rel [202, 5] (w:1, o:338, a:1, s:1, b:0),
% 0.96/1.50 c_Polynomial_Osynthetic__div [210, 3] (w:1, o:263, a:1, s:1, b:0),
% 0.96/1.50 class_Rings_Ocomm__ring__1 [211, 1] (w:1, o:129, a:1, s:1, b:0),
% 0.96/1.50 c_Groups_Ouminus__class_Ouminus [212, 2] (w:1, o:245, a:1, s:1, b:0)
% 0.96/1.50 ,
% 0.96/1.50 c_Complex_Oexpi [213, 1] (w:1, o:189, a:1, s:1, b:0),
% 0.96/1.50 c_RComplete_Onatceiling [214, 1] (w:1, o:190, a:1, s:1, b:0),
% 0.96/1.50 class_Rings_Oring__1__no__zero__divisors [215, 1] (w:1, o:172, a:1
% 0.96/1.50 , s:1, b:0),
% 0.96/1.50 c_RComplete_Onatfloor [216, 1] (w:1, o:191, a:1, s:1, b:0),
% 0.96/1.50 c_RealDef_Oreal [217, 2] (w:1, o:246, a:1, s:1, b:0),
% 0.96/1.50 c_Divides_Odiv__class_Odiv [218, 3] (w:1, o:264, a:1, s:1, b:0),
% 0.96/1.50 class_Lattices_Oboolean__algebra [219, 1] (w:1, o:193, a:1, s:1, b:0)
% 0.96/1.50 ,
% 0.96/1.50 class_Lattices_Oab__semigroup__idem__mult [220, 1] (w:1, o:192, a:1
% 0.96/1.50 , s:1, b:0),
% 0.96/1.50 class_Groups_Ominus [223, 1] (w:1, o:194, a:1, s:1, b:0),
% 0.96/1.50 class_Groups_Ouminus [224, 1] (w:1, o:195, a:1, s:1, b:0),
% 0.96/1.50 class_Divides_Osemiring__div [226, 1] (w:1, o:197, a:1, s:1, b:0),
% 0.96/1.50 c_Groups_Osgn__class_Osgn [227, 2] (w:1, o:247, a:1, s:1, b:0),
% 0.96/1.50 c_Divides_Odiv__class_Omod [228, 3] (w:1, o:265, a:1, s:1, b:0),
% 0.96/1.50 class_Divides_Oring__div [229, 1] (w:1, o:196, a:1, s:1, b:0),
% 0.96/1.50 class_Groups_Osgn__if [230, 1] (w:1, o:198, a:1, s:1, b:0),
% 0.96/1.50 c_Rings_Odvd__class_Odvd [231, 3] (w:1, o:266, a:1, s:1, b:0),
% 0.96/1.50 class_Rings_Odvd [232, 1] (w:1, o:182, a:1, s:1, b:0),
% 0.96/1.50 class_Rings_Osemiring__0 [235, 1] (w:1, o:183, a:1, s:1, b:0),
% 0.96/1.50 c_Power_Opower__class_Opower [236, 3] (w:1, o:267, a:1, s:1, b:0),
% 0.96/1.50 class_Power_Opower [237, 1] (w:1, o:199, a:1, s:1, b:0),
% 0.96/1.50 tc_Int_Oint [238, 0] (w:1, o:108, a:1, s:1, b:0),
% 0.96/1.50 class_Groups_Ocancel__comm__monoid__add [240, 1] (w:1, o:200, a:1, s:
% 0.96/1.50 1, b:0),
% 0.96/1.50 tc_HOL_Obool [242, 0] (w:1, o:107, a:1, s:1, b:0),
% 2.59/3.00 v_c____ [243, 0] (w:1, o:20, a:1, s:1, b:0),
% 2.59/3.00 alpha1 [244, 3] (w:1, o:268, a:1, s:1, b:1),
% 2.59/3.00 alpha2 [245, 3] (w:1, o:278, a:1, s:1, b:1),
% 2.59/3.00 alpha3 [246, 3] (w:1, o:284, a:1, s:1, b:1),
% 2.59/3.00 alpha4 [247, 4] (w:1, o:317, a:1, s:1, b:1),
% 2.59/3.00 alpha5 [248, 4] (w:1, o:323, a:1, s:1, b:1),
% 2.59/3.00 alpha6 [249, 3] (w:1, o:287, a:1, s:1, b:1),
% 2.59/3.00 alpha7 [250, 3] (w:1, o:290, a:1, s:1, b:1),
% 2.59/3.00 alpha8 [251, 3] (w:1, o:291, a:1, s:1, b:1),
% 2.59/3.00 alpha9 [252, 3] (w:1, o:292, a:1, s:1, b:1),
% 2.59/3.00 alpha10 [253, 3] (w:1, o:269, a:1, s:1, b:1),
% 2.59/3.00 alpha11 [254, 3] (w:1, o:270, a:1, s:1, b:1),
% 2.59/3.00 alpha12 [255, 3] (w:1, o:271, a:1, s:1, b:1),
% 2.59/3.00 alpha13 [256, 3] (w:1, o:272, a:1, s:1, b:1),
% 2.59/3.00 alpha14 [257, 3] (w:1, o:273, a:1, s:1, b:1),
% 2.59/3.00 alpha15 [258, 3] (w:1, o:274, a:1, s:1, b:1),
% 2.59/3.00 alpha16 [259, 3] (w:1, o:275, a:1, s:1, b:1),
% 2.59/3.00 alpha17 [260, 3] (w:1, o:276, a:1, s:1, b:1),
% 2.59/3.00 alpha18 [261, 2] (w:1, o:248, a:1, s:1, b:1),
% 2.59/3.00 alpha19 [262, 3] (w:1, o:277, a:1, s:1, b:1),
% 2.59/3.00 alpha20 [263, 2] (w:1, o:249, a:1, s:1, b:1),
% 2.59/3.00 alpha21 [264, 3] (w:1, o:279, a:1, s:1, b:1),
% 2.59/3.00 alpha22 [265, 2] (w:1, o:250, a:1, s:1, b:1),
% 2.59/3.00 alpha23 [266, 2] (w:1, o:251, a:1, s:1, b:1),
% 2.59/3.00 alpha24 [267, 3] (w:1, o:280, a:1, s:1, b:1),
% 2.59/3.00 alpha25 [268, 3] (w:1, o:281, a:1, s:1, b:1),
% 2.59/3.00 alpha26 [269, 4] (w:1, o:324, a:1, s:1, b:1),
% 2.59/3.00 alpha27 [270, 4] (w:1, o:325, a:1, s:1, b:1),
% 2.59/3.00 alpha28 [271, 3] (w:1, o:282, a:1, s:1, b:1),
% 2.59/3.00 alpha29 [272, 3] (w:1, o:283, a:1, s:1, b:1),
% 2.59/3.00 alpha30 [273, 3] (w:1, o:293, a:1, s:1, b:1),
% 2.59/3.00 alpha31 [274, 3] (w:1, o:294, a:1, s:1, b:1),
% 2.59/3.00 alpha32 [275, 4] (w:1, o:311, a:1, s:1, b:1),
% 2.59/3.00 alpha33 [276, 4] (w:1, o:312, a:1, s:1, b:1),
% 2.59/3.00 alpha34 [277, 4] (w:1, o:313, a:1, s:1, b:1),
% 2.59/3.00 alpha35 [278, 4] (w:1, o:314, a:1, s:1, b:1),
% 2.59/3.00 alpha36 [279, 4] (w:1, o:315, a:1, s:1, b:1),
% 2.59/3.00 alpha37 [280, 4] (w:1, o:316, a:1, s:1, b:1),
% 2.59/3.00 alpha38 [281, 3] (w:1, o:295, a:1, s:1, b:1),
% 2.59/3.00 alpha39 [282, 3] (w:1, o:296, a:1, s:1, b:1),
% 2.59/3.00 alpha40 [283, 2] (w:1, o:252, a:1, s:1, b:1),
% 2.59/3.00 alpha41 [284, 3] (w:1, o:297, a:1, s:1, b:1),
% 2.59/3.00 alpha42 [285, 3] (w:1, o:298, a:1, s:1, b:1),
% 2.59/3.00 alpha43 [286, 3] (w:1, o:299, a:1, s:1, b:1),
% 2.59/3.00 alpha44 [287, 4] (w:1, o:318, a:1, s:1, b:1),
% 2.59/3.00 alpha45 [288, 4] (w:1, o:319, a:1, s:1, b:1),
% 2.59/3.00 alpha46 [289, 4] (w:1, o:320, a:1, s:1, b:1),
% 2.59/3.00 alpha47 [290, 4] (w:1, o:321, a:1, s:1, b:1),
% 2.59/3.00 alpha48 [291, 4] (w:1, o:322, a:1, s:1, b:1),
% 2.59/3.00 alpha49 [292, 3] (w:1, o:300, a:1, s:1, b:1),
% 2.59/3.00 alpha50 [293, 3] (w:1, o:285, a:1, s:1, b:1),
% 2.59/3.00 alpha51 [294, 3] (w:1, o:286, a:1, s:1, b:1),
% 2.59/3.00 alpha52 [295, 4] (w:1, o:326, a:1, s:1, b:1),
% 2.59/3.00 alpha53 [296, 4] (w:1, o:327, a:1, s:1, b:1),
% 2.59/3.00 alpha54 [297, 4] (w:1, o:328, a:1, s:1, b:1),
% 2.59/3.00 alpha55 [298, 4] (w:1, o:329, a:1, s:1, b:1),
% 2.59/3.00 alpha56 [299, 4] (w:1, o:330, a:1, s:1, b:1),
% 2.59/3.00 alpha57 [300, 4] (w:1, o:331, a:1, s:1, b:1),
% 2.59/3.00 alpha58 [301, 4] (w:1, o:332, a:1, s:1, b:1),
% 2.59/3.00 alpha59 [302, 4] (w:1, o:333, a:1, s:1, b:1),
% 2.59/3.00 alpha60 [303, 4] (w:1, o:334, a:1, s:1, b:1),
% 2.59/3.00 alpha61 [304, 4] (w:1, o:335, a:1, s:1, b:1),
% 2.59/3.00 alpha62 [305, 3] (w:1, o:288, a:1, s:1, b:1),
% 2.59/3.00 alpha63 [306, 3] (w:1, o:289, a:1, s:1, b:1),
% 2.59/3.00 skol1 [307, 2] (w:1, o:232, a:1, s:1, b:1),
% 2.59/3.00 skol2 [308, 0] (w:1, o:14, a:1, s:1, b:1),
% 2.59/3.00 skol3 [309, 0] (w:1, o:15, a:1, s:1, b:1),
% 2.59/3.00 skol4 [310, 0] (w:1, o:16, a:1, s:1, b:1),
% 2.59/3.00 skol5 [311, 0] (w:1, o:17, a:1, s:1, b:1),
% 2.59/3.00 skol6 [312, 2] (w:1, o:233, a:1, s:1, b:1),
% 2.59/3.00 skol7 [313, 2] (w:1, o:234, a:1, s:1, b:1),
% 2.59/3.00 skol8 [314, 3] (w:1, o:301, a:1, s:1, b:1),
% 2.59/3.00 skol9 [315, 3] (w:1, o:302, a:1, s:1, b:1),
% 2.59/3.00 skol10 [316, 0] (w:1, o:12, a:1, s:1, b:1),
% 2.59/3.00 skol11 [317, 0] (w:1, o:13, a:1, s:1, b:1),
% 2.59/3.00 skol12 [318, 3] (w:1, o:303, a:1, s:1, b:1),
% 2.59/3.00 skol13 [319, 2] (w:1, o:235, a:1, s:1, b:1),
% 2.59/3.00 skol14 [320, 1] (w:1, o:124, a:1, s:1, b:1),
% 14.06/14.45 skol15 [321, 2] (w:1, o:236, a:1, s:1, b:1),
% 14.06/14.45 skol16 [322, 2] (w:1, o:237, a:1, s:1, b:1),
% 14.06/14.45 skol17 [323, 2] (w:1, o:238, a:1, s:1, b:1),
% 14.06/14.45 skol18 [324, 2] (w:1, o:239, a:1, s:1, b:1),
% 14.06/14.45 skol19 [325, 2] (w:1, o:240, a:1, s:1, b:1),
% 14.06/14.45 skol20 [326, 1] (w:1, o:125, a:1, s:1, b:1),
% 14.06/14.45 skol21 [327, 2] (w:1, o:241, a:1, s:1, b:1),
% 14.06/14.45 skol22 [328, 2] (w:1, o:242, a:1, s:1, b:1),
% 14.06/14.45 skol23 [329, 3] (w:1, o:304, a:1, s:1, b:1),
% 14.06/14.45 skol24 [330, 1] (w:1, o:126, a:1, s:1, b:1),
% 14.06/14.45 skol25 [331, 3] (w:1, o:305, a:1, s:1, b:1),
% 14.06/14.45 skol26 [332, 4] (w:1, o:336, a:1, s:1, b:1),
% 14.06/14.45 skol27 [333, 2] (w:1, o:243, a:1, s:1, b:1),
% 14.06/14.45 skol28 [334, 3] (w:1, o:306, a:1, s:1, b:1),
% 14.06/14.45 skol29 [335, 3] (w:1, o:307, a:1, s:1, b:1),
% 14.06/14.45 skol30 [336, 3] (w:1, o:308, a:1, s:1, b:1),
% 14.06/14.45 skol31 [337, 1] (w:1, o:127, a:1, s:1, b:1),
% 14.06/14.45 skol32 [338, 3] (w:1, o:309, a:1, s:1, b:1).
% 14.06/14.45
% 14.06/14.45
% 14.06/14.45 Starting Search:
% 14.06/14.45
% 14.06/14.45 *** allocated 113905 integers for clauses
% 14.06/14.45 *** allocated 170857 integers for clauses
% 14.06/14.45 Resimplifying inuse:
% 14.06/14.45 Done
% 14.06/14.45
% 14.06/14.45
% 14.06/14.45 Intermediate Status:
% 14.06/14.45 Generated: 2800
% 14.06/14.45 Kept: 2001
% 14.06/14.45 Inuse: 12
% 14.06/14.45 Deleted: 0
% 14.06/14.45 Deletedinuse: 0
% 14.06/14.45
% 14.06/14.45 *** allocated 256285 integers for clauses
% 14.06/14.45 Resimplifying inuse:
% 14.06/14.45 Done
% 14.06/14.45
% 14.06/14.45 *** allocated 170857 integers for termspace/termends
% 14.06/14.45
% 14.06/14.45 Intermediate Status:
% 14.06/14.45 Generated: 6956
% 14.06/14.45 Kept: 4041
% 14.06/14.45 Inuse: 160
% 14.06/14.45 Deleted: 7
% 14.06/14.45 Deletedinuse: 1
% 14.06/14.45
% 14.06/14.45 Resimplifying inuse:
% 14.06/14.45 Done
% 14.06/14.45
% 14.06/14.45 *** allocated 384427 integers for clauses
% 14.06/14.45 Resimplifying inuse:
% 14.06/14.45 Done
% 14.06/14.45
% 14.06/14.45
% 14.06/14.45 Intermediate Status:
% 14.06/14.45 Generated: 10776
% 14.06/14.45 Kept: 6094
% 14.06/14.45 Inuse: 219
% 14.06/14.45 Deleted: 8
% 14.06/14.45 Deletedinuse: 1
% 14.06/14.45
% 14.06/14.45 Resimplifying inuse:
% 14.06/14.45 Done
% 14.06/14.45
% 14.06/14.45 *** allocated 256285 integers for termspace/termends
% 14.06/14.45 Resimplifying inuse:
% 14.06/14.45 Done
% 14.06/14.45
% 14.06/14.45 *** allocated 576640 integers for clauses
% 14.06/14.45
% 14.06/14.45 Intermediate Status:
% 14.06/14.45 Generated: 14330
% 14.06/14.45 Kept: 8277
% 14.06/14.45 Inuse: 279
% 14.06/14.45 Deleted: 8
% 14.06/14.45 Deletedinuse: 1
% 14.06/14.45
% 14.06/14.45 Resimplifying inuse:
% 14.06/14.45 Done
% 14.06/14.45
% 14.06/14.45 Resimplifying inuse:
% 14.06/14.45 Done
% 14.06/14.45
% 14.06/14.45 *** allocated 384427 integers for termspace/termends
% 14.06/14.45
% 14.06/14.45 Intermediate Status:
% 14.06/14.45 Generated: 17863
% 14.06/14.45 Kept: 10299
% 14.06/14.45 Inuse: 317
% 14.06/14.45 Deleted: 8
% 14.06/14.45 Deletedinuse: 1
% 14.06/14.45
% 14.06/14.45 Resimplifying inuse:
% 14.06/14.45 Done
% 14.06/14.45
% 14.06/14.45 *** allocated 864960 integers for clauses
% 14.06/14.45 Resimplifying inuse:
% 14.06/14.45 Done
% 14.06/14.45
% 14.06/14.45
% 14.06/14.45 Intermediate Status:
% 14.06/14.45 Generated: 21250
% 14.06/14.45 Kept: 12317
% 14.06/14.45 Inuse: 364
% 14.06/14.45 Deleted: 8
% 14.06/14.45 Deletedinuse: 1
% 14.06/14.45
% 14.06/14.45 Resimplifying inuse:
% 14.06/14.45 Done
% 14.06/14.45
% 14.06/14.45 Resimplifying inuse:
% 14.06/14.45 Done
% 14.06/14.45
% 14.06/14.45
% 14.06/14.45 Intermediate Status:
% 14.06/14.45 Generated: 26638
% 14.06/14.45 Kept: 14317
% 14.06/14.45 Inuse: 388
% 14.06/14.45 Deleted: 8
% 14.06/14.45 Deletedinuse: 1
% 14.06/14.45
% 14.06/14.45 Resimplifying inuse:
% 14.06/14.45 Done
% 14.06/14.45
% 14.06/14.45 Resimplifying inuse:
% 14.06/14.45 Done
% 14.06/14.45
% 14.06/14.45
% 14.06/14.45 Intermediate Status:
% 14.06/14.45 Generated: 31991
% 14.06/14.45 Kept: 16676
% 14.06/14.45 Inuse: 429
% 14.06/14.45 Deleted: 8
% 14.06/14.45 Deletedinuse: 1
% 14.06/14.45
% 14.06/14.45 Resimplifying inuse:
% 14.06/14.45 Done
% 14.06/14.45
% 14.06/14.45 *** allocated 576640 integers for termspace/termends
% 14.06/14.45 *** allocated 1297440 integers for clauses
% 14.06/14.45 Resimplifying inuse:
% 14.06/14.45 Done
% 14.06/14.45
% 14.06/14.45
% 14.06/14.45 Intermediate Status:
% 14.06/14.45 Generated: 38006
% 14.06/14.45 Kept: 19056
% 14.06/14.45 Inuse: 459
% 14.06/14.45 Deleted: 8
% 14.06/14.45 Deletedinuse: 1
% 14.06/14.45
% 14.06/14.45 Resimplifying inuse:
% 14.06/14.45 Done
% 14.06/14.45
% 14.06/14.45 Resimplifying clauses:
% 14.06/14.45 Done
% 14.06/14.45
% 14.06/14.45 Resimplifying inuse:
% 14.06/14.45 Done
% 14.06/14.45
% 14.06/14.45
% 14.06/14.45 Intermediate Status:
% 14.06/14.45 Generated: 42689
% 14.06/14.45 Kept: 21104
% 14.06/14.45 Inuse: 495
% 14.06/14.45 Deleted: 233
% 14.06/14.45 Deletedinuse: 1
% 14.06/14.45
% 14.06/14.45 Resimplifying inuse:
% 14.06/14.45 Done
% 14.06/14.45
% 14.06/14.45 Resimplifying inuse:
% 14.06/14.45 Done
% 14.06/14.45
% 14.06/14.45
% 14.06/14.45 Intermediate Status:
% 14.06/14.45 Generated: 46947
% 14.06/14.45 Kept: 23118
% 14.06/14.45 Inuse: 529
% 14.06/14.45 Deleted: 233
% 14.06/14.45 Deletedinuse: 1
% 14.06/14.45
% 14.06/14.45 Resimplifying inuse:
% 14.06/14.45 Done
% 14.06/14.45
% 14.06/14.45 Resimplifying inuse:
% 14.06/14.45 Done
% 14.06/14.45
% 14.06/14.45
% 14.06/14.45 Intermediate Status:
% 14.06/14.45 Generated: 50908
% 14.06/14.45 Kept: 25157
% 14.06/14.45 Inuse: 559
% 14.06/14.45 Deleted: 233
% 14.06/14.45 Deletedinuse: 1
% 14.06/14.45
% 14.06/14.45 Resimplifying inuse:
% 14.06/14.45 Done
% 14.06/14.45
% 14.06/14.45 *** allocated 864960 integers for termspace/termends
% 14.06/14.45 Resimplifying inuse:
% 14.06/14.45 Done
% 14.06/14.45
% 14.06/14.45 *** allocated 1946160 integers for clauses
% 14.06/14.45
% 14.06/14.45 Intermediate Status:
% 14.06/14.45 Generated: 55583
% 14.06/14.45 Kept: 27190
% 14.06/14.45 Inuse: 582
% 14.06/14.45 Deleted: 233
% 14.06/14.45 Deletedinuse: 1
% 14.06/14.45
% 14.06/14.45 Resimplifying inuse:
% 14.06/14.45 Done
% 14.06/14.45
% 14.06/14.45 Resimplifying inuse:
% 14.06/14.45 Done
% 14.06/14.45
% 14.06/14.45
% 14.06/14.45 Intermediate Status:
% 14.06/14.45 Generated: 61344
% 14.06/14.45 Kept: 30314
% 14.06/14.45 Inuse: 619
% 14.06/14.45 Deleted: 233
% 14.06/14.45 Deletedinuse: 1
% 14.06/14.45
% 14.06/14.45 Resimplifying inuse:
% 14.06/14.45 Done
% 14.06/14.45
% 14.06/14.45 Resimplifying inuse:
% 14.06/14.45 Done
% 14.06/14.45
% 14.06/14.45
% 14.06/14.45 Intermediate Status:
% 14.06/14.45 Generated: 65372
% 14.06/14.45 Kept: 32319
% 14.06/14.45 Inuse: 656
% 14.06/14.45 Deleted: 233
% 14.06/14.45 Deletedinuse: 1
% 14.06/14.45
% 14.06/14.45 Resimplifying inuse:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38 Resimplifying inuse:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38
% 70.95/71.38 Intermediate Status:
% 70.95/71.38 Generated: 69411
% 70.95/71.38 Kept: 34360
% 70.95/71.38 Inuse: 694
% 70.95/71.38 Deleted: 233
% 70.95/71.38 Deletedinuse: 1
% 70.95/71.38
% 70.95/71.38 Resimplifying inuse:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38 Resimplifying inuse:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38
% 70.95/71.38 Intermediate Status:
% 70.95/71.38 Generated: 73622
% 70.95/71.38 Kept: 36396
% 70.95/71.38 Inuse: 730
% 70.95/71.38 Deleted: 233
% 70.95/71.38 Deletedinuse: 1
% 70.95/71.38
% 70.95/71.38 Resimplifying inuse:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38 Resimplifying inuse:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38
% 70.95/71.38 Intermediate Status:
% 70.95/71.38 Generated: 77842
% 70.95/71.38 Kept: 38409
% 70.95/71.38 Inuse: 766
% 70.95/71.38 Deleted: 233
% 70.95/71.38 Deletedinuse: 1
% 70.95/71.38
% 70.95/71.38 Resimplifying inuse:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38 *** allocated 1297440 integers for termspace/termends
% 70.95/71.38 Resimplifying inuse:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38 Resimplifying clauses:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38
% 70.95/71.38 Intermediate Status:
% 70.95/71.38 Generated: 81589
% 70.95/71.38 Kept: 40412
% 70.95/71.38 Inuse: 780
% 70.95/71.38 Deleted: 374
% 70.95/71.38 Deletedinuse: 1
% 70.95/71.38
% 70.95/71.38 Resimplifying inuse:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38 *** allocated 2919240 integers for clauses
% 70.95/71.38
% 70.95/71.38 Intermediate Status:
% 70.95/71.38 Generated: 86723
% 70.95/71.38 Kept: 43488
% 70.95/71.38 Inuse: 804
% 70.95/71.38 Deleted: 374
% 70.95/71.38 Deletedinuse: 1
% 70.95/71.38
% 70.95/71.38 Resimplifying inuse:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38 Resimplifying inuse:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38
% 70.95/71.38 Intermediate Status:
% 70.95/71.38 Generated: 92300
% 70.95/71.38 Kept: 45508
% 70.95/71.38 Inuse: 830
% 70.95/71.38 Deleted: 374
% 70.95/71.38 Deletedinuse: 1
% 70.95/71.38
% 70.95/71.38 Resimplifying inuse:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38 Resimplifying inuse:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38
% 70.95/71.38 Intermediate Status:
% 70.95/71.38 Generated: 98266
% 70.95/71.38 Kept: 47552
% 70.95/71.38 Inuse: 847
% 70.95/71.38 Deleted: 374
% 70.95/71.38 Deletedinuse: 1
% 70.95/71.38
% 70.95/71.38 Resimplifying inuse:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38 Resimplifying inuse:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38
% 70.95/71.38 Intermediate Status:
% 70.95/71.38 Generated: 102975
% 70.95/71.38 Kept: 49579
% 70.95/71.38 Inuse: 876
% 70.95/71.38 Deleted: 374
% 70.95/71.38 Deletedinuse: 1
% 70.95/71.38
% 70.95/71.38 Resimplifying inuse:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38
% 70.95/71.38 Intermediate Status:
% 70.95/71.38 Generated: 116817
% 70.95/71.38 Kept: 52776
% 70.95/71.38 Inuse: 894
% 70.95/71.38 Deleted: 374
% 70.95/71.38 Deletedinuse: 1
% 70.95/71.38
% 70.95/71.38 Resimplifying inuse:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38 Resimplifying inuse:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38
% 70.95/71.38 Intermediate Status:
% 70.95/71.38 Generated: 122698
% 70.95/71.38 Kept: 54844
% 70.95/71.38 Inuse: 924
% 70.95/71.38 Deleted: 374
% 70.95/71.38 Deletedinuse: 1
% 70.95/71.38
% 70.95/71.38 Resimplifying inuse:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38 *** allocated 1946160 integers for termspace/termends
% 70.95/71.38 Resimplifying inuse:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38
% 70.95/71.38 Intermediate Status:
% 70.95/71.38 Generated: 133320
% 70.95/71.38 Kept: 58298
% 70.95/71.38 Inuse: 954
% 70.95/71.38 Deleted: 374
% 70.95/71.38 Deletedinuse: 1
% 70.95/71.38
% 70.95/71.38 Resimplifying inuse:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38 Resimplifying inuse:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38
% 70.95/71.38 Intermediate Status:
% 70.95/71.38 Generated: 143608
% 70.95/71.38 Kept: 61201
% 70.95/71.38 Inuse: 974
% 70.95/71.38 Deleted: 374
% 70.95/71.38 Deletedinuse: 1
% 70.95/71.38
% 70.95/71.38 Resimplifying inuse:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38 Resimplifying clauses:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38 Resimplifying inuse:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38 *** allocated 4378860 integers for clauses
% 70.95/71.38
% 70.95/71.38 Intermediate Status:
% 70.95/71.38 Generated: 159733
% 70.95/71.38 Kept: 65169
% 70.95/71.38 Inuse: 989
% 70.95/71.38 Deleted: 455
% 70.95/71.38 Deletedinuse: 1
% 70.95/71.38
% 70.95/71.38 Resimplifying inuse:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38
% 70.95/71.38 Intermediate Status:
% 70.95/71.38 Generated: 170597
% 70.95/71.38 Kept: 67313
% 70.95/71.38 Inuse: 994
% 70.95/71.38 Deleted: 455
% 70.95/71.38 Deletedinuse: 1
% 70.95/71.38
% 70.95/71.38 Resimplifying inuse:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38 Resimplifying inuse:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38
% 70.95/71.38 Intermediate Status:
% 70.95/71.38 Generated: 177266
% 70.95/71.38 Kept: 69318
% 70.95/71.38 Inuse: 1032
% 70.95/71.38 Deleted: 455
% 70.95/71.38 Deletedinuse: 1
% 70.95/71.38
% 70.95/71.38 Resimplifying inuse:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38 Resimplifying inuse:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38
% 70.95/71.38 Intermediate Status:
% 70.95/71.38 Generated: 183990
% 70.95/71.38 Kept: 71455
% 70.95/71.38 Inuse: 1079
% 70.95/71.38 Deleted: 457
% 70.95/71.38 Deletedinuse: 3
% 70.95/71.38
% 70.95/71.38 Resimplifying inuse:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38 Resimplifying inuse:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38
% 70.95/71.38 Intermediate Status:
% 70.95/71.38 Generated: 193278
% 70.95/71.38 Kept: 73481
% 70.95/71.38 Inuse: 1104
% 70.95/71.38 Deleted: 457
% 70.95/71.38 Deletedinuse: 3
% 70.95/71.38
% 70.95/71.38 Resimplifying inuse:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38 Resimplifying inuse:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38
% 70.95/71.38 Intermediate Status:
% 70.95/71.38 Generated: 199734
% 70.95/71.38 Kept: 75485
% 70.95/71.38 Inuse: 1135
% 70.95/71.38 Deleted: 459
% 70.95/71.38 Deletedinuse: 3
% 70.95/71.38
% 70.95/71.38 Resimplifying inuse:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38 Resimplifying inuse:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38
% 70.95/71.38 Intermediate Status:
% 70.95/71.38 Generated: 205670
% 70.95/71.38 Kept: 77546
% 70.95/71.38 Inuse: 1182
% 70.95/71.38 Deleted: 459
% 70.95/71.38 Deletedinuse: 3
% 70.95/71.38
% 70.95/71.38 Resimplifying inuse:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38 Resimplifying inuse:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38
% 70.95/71.38 Intermediate Status:
% 70.95/71.38 Generated: 211294
% 70.95/71.38 Kept: 79612
% 70.95/71.38 Inuse: 1222
% 70.95/71.38 Deleted: 459
% 70.95/71.38 Deletedinuse: 3
% 70.95/71.38
% 70.95/71.38 *** allocated 2919240 integers for termspace/termends
% 70.95/71.38 Resimplifying inuse:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38 Resimplifying clauses:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38 Resimplifying inuse:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38
% 70.95/71.38 Intermediate Status:
% 70.95/71.38 Generated: 218370
% 70.95/71.38 Kept: 81752
% 70.95/71.38 Inuse: 1257
% 70.95/71.38 Deleted: 643
% 70.95/71.38 Deletedinuse: 3
% 70.95/71.38
% 70.95/71.38 Resimplifying inuse:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38 Resimplifying inuse:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38
% 70.95/71.38 Intermediate Status:
% 70.95/71.38 Generated: 225870
% 70.95/71.38 Kept: 83769
% 70.95/71.38 Inuse: 1288
% 70.95/71.38 Deleted: 643
% 70.95/71.38 Deletedinuse: 3
% 70.95/71.38
% 70.95/71.38 Resimplifying inuse:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38 Resimplifying inuse:
% 70.95/71.38 Done
% 70.95/71.38
% 70.95/71.38
% 70.95/71.38 Intermediate Status:
% 70.95/71.38 Generated: 232309
% 70.95/71.38 Kept: 85819
% 70.95/71.38 Inuse: 1337
% 172.27/172.70 Deleted: 643
% 172.27/172.70 Deletedinuse: 3
% 172.27/172.70
% 172.27/172.70 Resimplifying inuse:
% 172.27/172.70 Done
% 172.27/172.70
% 172.27/172.70 Resimplifying inuse:
% 172.27/172.70 Done
% 172.27/172.70
% 172.27/172.70
% 172.27/172.70 Intermediate Status:
% 172.27/172.70 Generated: 238576
% 172.27/172.70 Kept: 87824
% 172.27/172.70 Inuse: 1385
% 172.27/172.70 Deleted: 643
% 172.27/172.70 Deletedinuse: 3
% 172.27/172.70
% 172.27/172.70 Resimplifying inuse:
% 172.27/172.70 Done
% 172.27/172.70
% 172.27/172.70
% 172.27/172.70 Intermediate Status:
% 172.27/172.70 Generated: 245684
% 172.27/172.70 Kept: 89886
% 172.27/172.70 Inuse: 1422
% 172.27/172.70 Deleted: 643
% 172.27/172.70 Deletedinuse: 3
% 172.27/172.70
% 172.27/172.70 Resimplifying inuse:
% 172.27/172.70 Done
% 172.27/172.70
% 172.27/172.70 Resimplifying inuse:
% 172.27/172.70 Done
% 172.27/172.70
% 172.27/172.70
% 172.27/172.70 Intermediate Status:
% 172.27/172.70 Generated: 253152
% 172.27/172.70 Kept: 91895
% 172.27/172.70 Inuse: 1456
% 172.27/172.70 Deleted: 643
% 172.27/172.70 Deletedinuse: 3
% 172.27/172.70
% 172.27/172.70 Resimplifying inuse:
% 172.27/172.70 Done
% 172.27/172.70
% 172.27/172.70 Resimplifying inuse:
% 172.27/172.70 Done
% 172.27/172.70
% 172.27/172.70
% 172.27/172.70 Intermediate Status:
% 172.27/172.70 Generated: 260405
% 172.27/172.70 Kept: 94021
% 172.27/172.70 Inuse: 1492
% 172.27/172.70 Deleted: 643
% 172.27/172.70 Deletedinuse: 3
% 172.27/172.70
% 172.27/172.70 Resimplifying inuse:
% 172.27/172.70 Done
% 172.27/172.70
% 172.27/172.70 Resimplifying inuse:
% 172.27/172.70 Done
% 172.27/172.70
% 172.27/172.70
% 172.27/172.70 Intermediate Status:
% 172.27/172.70 Generated: 272398
% 172.27/172.70 Kept: 96996
% 172.27/172.70 Inuse: 1522
% 172.27/172.70 Deleted: 643
% 172.27/172.70 Deletedinuse: 3
% 172.27/172.70
% 172.27/172.70 Resimplifying inuse:
% 172.27/172.70 Done
% 172.27/172.70
% 172.27/172.70 Resimplifying inuse:
% 172.27/172.70 Done
% 172.27/172.70
% 172.27/172.70 *** allocated 6568290 integers for clauses
% 172.27/172.70
% 172.27/172.70 Intermediate Status:
% 172.27/172.70 Generated: 280276
% 172.27/172.70 Kept: 99020
% 172.27/172.70 Inuse: 1544
% 172.27/172.70 Deleted: 643
% 172.27/172.70 Deletedinuse: 3
% 172.27/172.70
% 172.27/172.70 Resimplifying inuse:
% 172.27/172.70 Done
% 172.27/172.70
% 172.27/172.70 Resimplifying inuse:
% 172.27/172.70 Done
% 172.27/172.70
% 172.27/172.70
% 172.27/172.70 Intermediate Status:
% 172.27/172.70 Generated: 288244
% 172.27/172.70 Kept: 101058
% 172.27/172.70 Inuse: 1574
% 172.27/172.70 Deleted: 643
% 172.27/172.70 Deletedinuse: 3
% 172.27/172.70
% 172.27/172.70 Resimplifying inuse:
% 172.27/172.70 Done
% 172.27/172.70
% 172.27/172.70 Resimplifying clauses:
% 172.27/172.70 Done
% 172.27/172.70
% 172.27/172.70 Resimplifying inuse:
% 172.27/172.70 Done
% 172.27/172.70
% 172.27/172.70
% 172.27/172.70 Intermediate Status:
% 172.27/172.70 Generated: 293384
% 172.27/172.70 Kept: 103116
% 172.27/172.70 Inuse: 1622
% 172.27/172.70 Deleted: 790
% 172.27/172.70 Deletedinuse: 6
% 172.27/172.70
% 172.27/172.70 Resimplifying inuse:
% 172.27/172.70 Done
% 172.27/172.70
% 172.27/172.70
% 172.27/172.70 Intermediate Status:
% 172.27/172.70 Generated: 311506
% 172.27/172.70 Kept: 106870
% 172.27/172.70 Inuse: 1652
% 172.27/172.70 Deleted: 790
% 172.27/172.70 Deletedinuse: 6
% 172.27/172.70
% 172.27/172.70 Resimplifying inuse:
% 172.27/172.70 Done
% 172.27/172.70
% 172.27/172.70 Resimplifying inuse:
% 172.27/172.70 Done
% 172.27/172.70
% 172.27/172.70
% 172.27/172.70 Intermediate Status:
% 172.27/172.70 Generated: 355853
% 172.27/172.70 Kept: 110223
% 172.27/172.70 Inuse: 1662
% 172.27/172.70 Deleted: 790
% 172.27/172.70 Deletedinuse: 6
% 172.27/172.70
% 172.27/172.70 Resimplifying inuse:
% 172.27/172.70 Done
% 172.27/172.70
% 172.27/172.70 Resimplifying inuse:
% 172.27/172.70 Done
% 172.27/172.70
% 172.27/172.70
% 172.27/172.70 Intermediate Status:
% 172.27/172.70 Generated: 370015
% 172.27/172.70 Kept: 113673
% 172.27/172.70 Inuse: 1672
% 172.27/172.70 Deleted: 790
% 172.27/172.70 Deletedinuse: 6
% 172.27/172.70
% 172.27/172.70 Resimplifying inuse:
% 172.27/172.70 Done
% 172.27/172.70
% 172.27/172.70 *** allocated 4378860 integers for termspace/termends
% 172.27/172.70
% 172.27/172.70 Intermediate Status:
% 172.27/172.70 Generated: 389391
% 172.27/172.70 Kept: 117104
% 172.27/172.70 Inuse: 1677
% 172.27/172.70 Deleted: 790
% 172.27/172.70 Deletedinuse: 6
% 172.27/172.70
% 172.27/172.70 Resimplifying inuse:
% 172.27/172.70 Done
% 172.27/172.70
% 172.27/172.70
% 172.27/172.70 Intermediate Status:
% 172.27/172.70 Generated: 397073
% 172.27/172.70 Kept: 119121
% 172.27/172.70 Inuse: 1692
% 172.27/172.70 Deleted: 790
% 172.27/172.70 Deletedinuse: 6
% 172.27/172.70
% 172.27/172.70 Resimplifying inuse:
% 172.27/172.70 Done
% 172.27/172.70
% 172.27/172.70
% 172.27/172.70 Intermediate Status:
% 172.27/172.70 Generated: 413241
% 172.27/172.70 Kept: 122585
% 172.27/172.70 Inuse: 1697
% 172.27/172.70 Deleted: 790
% 172.27/172.70 Deletedinuse: 6
% 172.27/172.70
% 172.27/172.70 Resimplifying inuse:
% 172.27/172.70 Done
% 172.27/172.70
% 172.27/172.70 Resimplifying clauses:
% 172.27/172.70 Done
% 172.27/172.70
% 172.27/172.70
% 172.27/172.70 Intermediate Status:
% 172.27/172.70 Generated: 425216
% 172.27/172.70 Kept: 125880
% 172.27/172.70 Inuse: 1700
% 172.27/172.70 Deleted: 1010
% 172.27/172.70 Deletedinuse: 6
% 172.27/172.70
% 172.27/172.70 Resimplifying inuse:
% 172.27/172.70 Done
% 172.27/172.70
% 172.27/172.70
% 172.27/172.70 Intermediate Status:
% 172.27/172.70 Generated: 437191
% 172.27/172.70 Kept: 134176
% 172.27/172.70 Inuse: 1712
% 172.27/172.70 Deleted: 1012
% 172.27/172.70 Deletedinuse: 8
% 172.27/172.70
% 172.27/172.70 Resimplifying inuse:
% 172.27/172.70 Done
% 172.27/172.70
% 172.27/172.70
% 172.27/172.70 Intermediate Status:
% 172.27/172.70 Generated: 443324
% 172.27/172.70 Kept: 138640
% 172.27/172.70 Inuse: 1717
% 172.27/172.70 Deleted: 1012
% 172.27/172.70 Deletedinuse: 8
% 172.27/172.70
% 172.27/172.70 Resimplifying inuse:
% 172.27/172.70 Done
% 172.27/172.70
% 172.27/172.70 Resimplifying inuse:
% 172.27/172.70 Done
% 172.27/172.70
% 172.27/172.70
% 172.27/172.70 Intermediate Status:
% 172.27/172.70 Generated: 465941
% 172.27/172.70 Kept: 143736
% 172.27/172.70 Inuse: 1742
% 172.27/172.70 Deleted: 1012
% 172.27/172.70 Deletedinuse: 8
% 172.27/172.70
% 172.27/172.70 Resimplifying inuse:
% 172.27/172.70 Done
% 172.27/172.70
% 172.27/172.70 Resimplifying clauses:
% 172.27/172.70 Done
% 172.27/172.70
% 172.27/172.70 *** allocated 9852435 integers for clauses
% 172.27/172.70
% 172.27/172.70 Intermediate Status:
% 172.27/172.70 Generated: 478453
% 172.27/172.70 Kept: 152145
% 172.27/172.70 Inuse: 1757
% 172.27/172.70 Deleted: 7710
% 172.27/172.70 Deletedinuse: 8
% 172.27/172.70
% 172.27/172.70 Resimplifying inuse:
% 172.27/172.70 Done
% 172.27/172.70
% 172.27/172.70
% 172.27/172.70 Intermediate Status:
% 172.27/172.70 Generated: 484835
% 172.27/172.70 Kept: 156696
% 172.27/172.70 Inuse: 1762
% 172.27/172.70 Deleted: 7710
% 172.27/172.70 Deletedinuse: 8
% 172.27/172.70
% 172.27/172.70 Resimplifying inuse:
% 172.27/172.70 Done
% 172.27/172.70
% 172.27/172.70
% 172.27/172.70 Intermediate Status:
% 172.27/172.70 Generated: 507925
% 172.27/172.70 Kept: 160737
% 172.27/172.70 Inuse: 1772
% 172.27/172.70 Deleted: 7710
% 172.27/172.70 Deletedinuse: 8
% 172.27/172.70
% 172.27/172.70 Resimplifying inuse:
% 172.27/172.70 Done
% 172.27/172.70
% 172.27/172.70 Resimplifying inuse:
% 172.27/172.70 Done
% 172.27/172.70
% 172.27/172.70
% 172.27/172.70 Intermediate Status:
% 172.27/172.70 Generated: 517168
% 172.27/172.70 Kept: 162755
% 172.27/172.70 Inuse: 1780
% 172.27/172.70 Deleted: 7710
% 172.27/172.70 Deletedinuse: 8
% 172.27/172.70
% 172.27/172.70
% 172.27/172.70 Intermediate Status:
% 172.27/172.70 Generated: 523904
% 172.27/172.70 Kept: 165013
% 172.27/172.70 Inuse: 1782
% 172.27/172.70 Deleted: 7710
% 172.27/172.70 Deletedinuse: 8
% 172.27/172.70
% 172.27/172.70 Resimplifying inuse:
% 172.27/172.70 Done
% 172.27/172.70
% 172.27/172.70 Resimplifying clauses:
% 172.27/172.70 Done
% 172.27/172.70
% 172.27/172.70
% 172.27/172.70 Intermediate Status:
% 172.27/172.70 Generated: 530987
% 172.27/172.70 Kept: 167604
% 172.27/172.70 Inuse: 1787
% 172.27/172.70 Deleted: 7726
% 172.27/172.70 Deletedinuse: 8
% 172.27/172.70
% 172.27/172.70 Resimplifying inuse:
% 172.27/172.70 Done
% 172.27/172.70
% 172.27/172.70 ResimplifCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------