TSTP Solution File: SWW189+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWW189+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.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 23:21:08 EDT 2022
% Result : Timeout 300.08s 300.53s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWW189+1 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Mon Jun 6 02:37:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.90/1.53 *** allocated 10000 integers for termspace/termends
% 0.90/1.53 *** allocated 10000 integers for clauses
% 0.90/1.53 *** allocated 10000 integers for justifications
% 0.90/1.53 *** allocated 15000 integers for termspace/termends
% 0.90/1.53 *** allocated 22500 integers for termspace/termends
% 0.90/1.53 *** allocated 33750 integers for termspace/termends
% 0.90/1.53 Bliksem 1.12
% 0.90/1.53
% 0.90/1.53
% 0.90/1.53 Automatic Strategy Selection
% 0.90/1.53
% 0.90/1.53 *** allocated 50625 integers for termspace/termends
% 0.90/1.53 *** allocated 75937 integers for termspace/termends
% 0.90/1.53 *** allocated 113905 integers for termspace/termends
% 0.90/1.53
% 0.90/1.53 Clauses:
% 0.90/1.53
% 0.90/1.53 { ! hAPP( Y, skol1( X, Y ) ) = hAPP( X, skol1( X, Y ) ), Y = X }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__0( X ), hAPP( c_Polynomial_Opoly( X,
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Polynomial_Opoly( X ), T, Z ) ), Y ) =
% 0.90/1.53 c_Groups_Oplus__class_Oplus( X, hAPP( c_Polynomial_Opoly( X, T ), Y ),
% 0.90/1.53 hAPP( c_Polynomial_Opoly( X, Z ), Y ) ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__0( X ), hAPP( c_Polynomial_Opoly( X,
% 0.90/1.53 c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly( X, T, Z ) ), Y
% 0.90/1.53 ) = hAPP( c_Polynomial_Opoly( X, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.90/1.53 , Y ) ) }.
% 0.90/1.53 { ! class_Int_Oring__char__0( X ), ! class_Rings_Oidom( X ), !
% 0.90/1.53 c_Polynomial_Opoly( X, Z ) = c_Polynomial_Opoly( X, Y ), Z = Y }.
% 0.90/1.53 { ! class_Int_Oring__char__0( X ), ! class_Rings_Oidom( X ), ! Z = Y,
% 0.90/1.53 c_Polynomial_Opoly( X, Z ) = c_Polynomial_Opoly( X, Y ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Z
% 0.90/1.53 , Y ) = c_Groups_Oplus__class_Oplus( X, Y, Z ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, T
% 0.90/1.53 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.90/1.53 ( X, Z, c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, T
% 0.90/1.53 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.90/1.53 ( X, c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.53 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.90/1.53 ( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y ) ) }.
% 0.90/1.53 { ! class_Groups_Oab__semigroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.53 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.90/1.53 ( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y ) ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.53 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.90/1.53 ( X, c_Groups_Oplus__class_Oplus( X, T, Y ), Z ) }.
% 0.90/1.53 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.90/1.53 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.90/1.53 T, Y ), Z = Y }.
% 0.90/1.53 { ! class_Groups_Ocancel__semigroup__add( X ), ! Z = Y,
% 0.90/1.53 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.90/1.53 T, Y ) }.
% 0.90/1.53 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.90/1.53 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.90/1.53 Y, Z ), T = Y }.
% 0.90/1.53 { ! class_Groups_Ocancel__semigroup__add( X ), ! T = Y,
% 0.90/1.53 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.90/1.53 Y, Z ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.53 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.90/1.53 , Y ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X
% 0.90/1.53 , U, Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.90/1.53 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.90/1.53 c_Groups_Oplus__class_Oplus( X, Z, T ) = c_Groups_Oplus__class_Oplus( X,
% 0.90/1.53 Y, T ), Z = Y }.
% 0.90/1.53 { ! class_Groups_Ocancel__ab__semigroup__add( X ), !
% 0.90/1.53 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.90/1.53 T, Y ), Z = Y }.
% 0.90/1.53 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.90/1.53 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.90/1.53 T, Y ), Z = Y }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__0( X ), hAPP( c_Polynomial_Opoly( X,
% 0.90/1.53 c_Polynomial_Opcompose( X, T, Z ) ), Y ) = hAPP( c_Polynomial_Opoly( X, T
% 0.90/1.53 ), hAPP( c_Polynomial_Opoly( X, Z ), Y ) ) }.
% 0.90/1.53 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus(
% 0.90/1.53 tc_Polynomial_Opoly( X ), c_Polynomial_Omonom( X, T, Z ),
% 0.90/1.53 c_Polynomial_Omonom( X, Y, Z ) ) = c_Polynomial_Omonom( X,
% 0.90/1.53 c_Groups_Oplus__class_Oplus( X, T, Y ), Z ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__idom( X ), ! c_Polynomial_Opos__poly( X, Y ),
% 0.90/1.53 ! c_Polynomial_Opos__poly( X, Z ), c_Polynomial_Opos__poly( X,
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Polynomial_Opoly( X ), Y, Z ) ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__0( X ), c_Polynomial_Osmult( X,
% 0.90/1.53 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.90/1.53 ( tc_Polynomial_Opoly( X ), c_Polynomial_Osmult( X, T, Y ),
% 0.90/1.53 c_Polynomial_Osmult( X, Z, Y ) ) }.
% 0.90/1.53 { ! class_Groups_Ocomm__monoid__add( X ), hAPP( c_Polynomial_Ocoeff( X,
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Polynomial_Opoly( X ), T, Z ) ), Y ) =
% 0.90/1.53 c_Groups_Oplus__class_Oplus( X, hAPP( c_Polynomial_Ocoeff( X, T ), Y ),
% 0.90/1.53 hAPP( c_Polynomial_Ocoeff( X, Z ), Y ) ) }.
% 0.90/1.53 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus(
% 0.90/1.53 tc_Polynomial_Opoly( X ), c_Polynomial_OpCons( X, U, T ),
% 0.90/1.53 c_Polynomial_OpCons( X, Z, Y ) ) = c_Polynomial_OpCons( X,
% 0.90/1.53 c_Groups_Oplus__class_Oplus( X, U, Z ), c_Groups_Oplus__class_Oplus(
% 0.90/1.53 tc_Polynomial_Opoly( X ), T, Y ) ) }.
% 0.90/1.53 { ! c_Groups_Osemigroup( Y, X ), hAPP( hAPP( X, hAPP( hAPP( X, U ), T ) ),
% 0.90/1.53 Z ) = hAPP( hAPP( X, U ), hAPP( hAPP( X, T ), Z ) ) }.
% 0.90/1.53 { ! c_Groups_Ocomm__monoid( Z, Y, X ), hAPP( hAPP( Y, T ), X ) = T }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__0( X ),
% 0.90/1.53 c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly( X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), Y ) =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__0( X ), !
% 0.90/1.53 c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly( X, Z, Y ) =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), Z =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__0( X ), ! Z = c_Groups_Ozero__class_Ozero
% 0.90/1.53 ( tc_Polynomial_Opoly( X ) ),
% 0.90/1.53 c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly( X, Z, Y ) =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.53 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus(
% 0.90/1.53 tc_Polynomial_Opoly( X ), c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Polynomial_Opoly( X ) ), Y ) = Y }.
% 0.90/1.53 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus(
% 0.90/1.53 tc_Polynomial_Opoly( X ), Y, c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Polynomial_Opoly( X ) ) ) = Y }.
% 0.90/1.53 { ! class_Rings_Olinordered__idom( X ), ! c_Polynomial_Opos__poly( X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), c_Polynomial_OpCons( X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Polynomial_Opoly( X ) ) ) = c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), hAPP( c_Polynomial_Ocoeff( X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ), Y ) =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), c_Polynomial_Omonom( X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__0( X ), c_Polynomial_Osmult( X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__0( X ), c_Polynomial_Opcompose( X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), Y ) =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), ! c_Groups_Ozero__class_Ozero( X ) = Y, Y =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ) = Y }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__0( X ), c_Polynomial_Osmult( X, Y,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ) =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), ! Z = Y, hAPP( c_Polynomial_Ocoeff( X, Z ), T
% 0.90/1.53 ) = hAPP( c_Polynomial_Ocoeff( X, Y ), T ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), ! hAPP( c_Polynomial_Ocoeff( X, Z ), skol2( X
% 0.90/1.53 , Y, Z ) ) = hAPP( c_Polynomial_Ocoeff( X, Y ), skol2( X, Y, Z ) ), Z = Y
% 0.90/1.53 }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), ! c_Polynomial_Ocoeff( X, Z ) =
% 0.90/1.53 c_Polynomial_Ocoeff( X, Y ), Z = Y }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), ! Z = Y, c_Polynomial_Ocoeff( X, Z ) =
% 0.90/1.53 c_Polynomial_Ocoeff( X, Y ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), ! c_Polynomial_Omonom( X, Z, Y ) =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), Z =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), ! Z = c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.53 c_Polynomial_Omonom( X, Z, Y ) = c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), ! c_Polynomial_OpCons( X, Z, Y ) =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), Z =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), ! c_Polynomial_OpCons( X, Z, Y ) =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), Y =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), ! Z = c_Groups_Ozero__class_Ozero( X ), ! Y =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ),
% 0.90/1.53 c_Polynomial_OpCons( X, Z, Y ) = c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.53 { ! class_Rings_Oidom( X ), ! c_Polynomial_Osmult( X, Z, Y ) =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), Z =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.53 { ! class_Rings_Oidom( X ), ! Z = c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.53 c_Polynomial_Osmult( X, Z, Y ) = c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.53 { ! class_Rings_Oidom( X ), ! Y = c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Polynomial_Opoly( X ) ), c_Polynomial_Osmult( X, Z, Y ) =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), ! T = Z, hAPP( c_Polynomial_Ocoeff( X,
% 0.90/1.53 c_Polynomial_Omonom( X, Y, T ) ), Z ) = Y }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), T = Z, hAPP( c_Polynomial_Ocoeff( X,
% 0.90/1.53 c_Polynomial_Omonom( X, Y, T ) ), Z ) = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.53 }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), ! c_Polynomial_Omonom( X, T, Z ) =
% 0.90/1.53 c_Polynomial_Omonom( X, Y, Z ), T = Y }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), ! T = Y, c_Polynomial_Omonom( X, T, Z ) =
% 0.90/1.53 c_Polynomial_Omonom( X, Y, Z ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), ! c_Polynomial_OpCons( X, U, T ) =
% 0.90/1.53 c_Polynomial_OpCons( X, Z, Y ), U = Z }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), ! c_Polynomial_OpCons( X, U, T ) =
% 0.90/1.53 c_Polynomial_OpCons( X, Z, Y ), T = Y }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), ! U = Z, ! T = Y, c_Polynomial_OpCons( X, U, T
% 0.90/1.53 ) = c_Polynomial_OpCons( X, Z, Y ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__0( X ), ! c_Polynomial_Osmult( X, T, Y ) =
% 0.90/1.53 c_Polynomial_OpCons( X, Z, Y ), Y = c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__0( X ), ! c_Groups_Oplus__class_Oplus(
% 0.90/1.53 tc_Polynomial_Opoly( X ), c_Polynomial_Osmult( X, T, Y ),
% 0.90/1.53 c_Polynomial_OpCons( X, Z, Y ) ) = c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Polynomial_Opoly( X ) ), Y = c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__0( X ), hAPP( c_Polynomial_Opoly( X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ), Y ) =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__0( X ),
% 0.90/1.53 c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly( X,
% 0.90/1.53 c_Polynomial_OpCons( X, Z, c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Polynomial_Opoly( X ) ) ), Y ) = c_Polynomial_OpCons( X, Z,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__0( X ),
% 0.90/1.53 c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly( X,
% 0.90/1.53 c_Polynomial_OpCons( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus(
% 0.90/1.53 tc_Polynomial_Opoly( X ), c_Polynomial_Osmult( X, Y,
% 0.90/1.53 c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly( X, Z, Y ) ),
% 0.90/1.53 c_Polynomial_OpCons( X, T,
% 0.90/1.53 c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly( X, Z, Y ) ) ) }
% 0.90/1.53 .
% 0.90/1.53 { ! class_Groups_Omonoid__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.90/1.53 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.90/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ) = c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.90/1.53 , Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ozero__class_Ozero( X ) =
% 0.90/1.53 c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 0.90/1.53 { ! class_Groups_Omonoid__add( X ), c_Groups_Oplus__class_Oplus( X, Y,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.90/1.53 , c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.90/1.53 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.90/1.53 , c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.90/1.53 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.90/1.53 ( X ), ! Z = c_Groups_Oplus__class_Oplus( X, Z, Y ), Y =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.53 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.90/1.53 ( X ), ! Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.90/1.53 c_Groups_Oplus__class_Oplus( X, Z, Y ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__0( X ), c_Polynomial_Osmult( X, T,
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Polynomial_Opoly( X ), Z, Y ) ) =
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Polynomial_Opoly( X ),
% 0.90/1.53 c_Polynomial_Osmult( X, T, Z ), c_Polynomial_Osmult( X, T, Y ) ) }.
% 0.90/1.53 { ! class_Int_Oring__char__0( X ), ! class_Rings_Oidom( X ), !
% 0.90/1.53 c_Polynomial_Opoly( X, Y ) = c_Polynomial_Opoly( X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ), Y =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.53 { ! class_Int_Oring__char__0( X ), ! class_Rings_Oidom( X ), ! Y =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ),
% 0.90/1.53 c_Polynomial_Opoly( X, Y ) = c_Polynomial_Opoly( X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__0( X ), ! c_Groups_Oplus__class_Oplus(
% 0.90/1.53 tc_Polynomial_Opoly( X ), U, c_Polynomial_Osmult( X, T, Z ) ) =
% 0.90/1.53 c_Polynomial_OpCons( X, Y, Z ), Y = hAPP( c_Polynomial_Opoly( X, U ), T )
% 0.90/1.53 }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__0( X ), ! c_Groups_Oplus__class_Oplus(
% 0.90/1.53 tc_Polynomial_Opoly( X ), U, c_Polynomial_Osmult( X, T, Z ) ) =
% 0.90/1.53 c_Polynomial_OpCons( X, Y, Z ), Z = c_Polynomial_Osynthetic__div( X, U, T
% 0.90/1.53 ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__0( X ), c_Groups_Oplus__class_Oplus(
% 0.90/1.53 tc_Polynomial_Opoly( X ), Z, c_Polynomial_Osmult( X, Y,
% 0.90/1.53 c_Polynomial_Osynthetic__div( X, Z, Y ) ) ) = c_Polynomial_OpCons( X,
% 0.90/1.53 hAPP( c_Polynomial_Opoly( X, Z ), Y ), c_Polynomial_Osynthetic__div( X, Z
% 0.90/1.53 , Y ) ) }.
% 0.90/1.53 { ! class_Rings_Oidom( X ), ! hAPP( c_Polynomial_Opoly( X, Z ), Y ) =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Polynomial_Opoly( X ) ), ! c_Polynomial_Oorder( X, Y, Z ) =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.53 { ! class_Rings_Oidom( X ), ! Z = c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Polynomial_Opoly( X ) ), hAPP( c_Polynomial_Opoly( X, Z ), Y ) =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.53 { ! class_Rings_Oidom( X ), c_Polynomial_Oorder( X, Y, Z ) =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hAPP( c_Polynomial_Opoly( X,
% 0.90/1.53 Z ), Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.90/1.53 c_Groups_Oplus__class_Oplus( X, Y, Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.53 , Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.90/1.53 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), ! hAPP( hAPP( hAPP( Z,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Polynomial_Opoly( X ) ) ), Y ) = Y, c_Polynomial_Opoly__rec( W, X, Y,
% 0.90/1.53 Z, c_Polynomial_OpCons( X, U, T ) ) = hAPP( hAPP( hAPP( Z, U ), T ),
% 0.90/1.53 c_Polynomial_Opoly__rec( W, X, Y, Z, T ) ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__0( X ), c_Polynomial_Opcompose( X,
% 0.90/1.53 c_Polynomial_OpCons( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus(
% 0.90/1.53 tc_Polynomial_Opoly( X ), c_Polynomial_OpCons( X, T,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Polynomial_Opoly( X ), Y,
% 0.90/1.53 c_Polynomial_Opcompose( X, Z, Y ) ) ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), c_Polynomial_Opoly__rec( W, X, U, T,
% 0.90/1.53 c_Polynomial_OpCons( X, Z, Y ) ) = hAPP( hAPP( hAPP( T, Z ), Y ), c_If( W
% 0.90/1.53 , c_fequal( Y, c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) )
% 0.90/1.53 , U, c_Polynomial_Opoly__rec( W, X, U, T, Y ) ) ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__idom( X ), ! c_Polynomial_Opos__poly( X,
% 0.90/1.53 c_Polynomial_OpCons( X, Z, Y ) ), c_Polynomial_Opos__poly( X, Y ), alpha1
% 0.90/1.53 ( X, Y, Z ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__idom( X ), ! c_Polynomial_Opos__poly( X, Y ),
% 0.90/1.53 c_Polynomial_Opos__poly( X, c_Polynomial_OpCons( X, Z, Y ) ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__idom( X ), ! alpha1( X, Y, Z ),
% 0.90/1.53 c_Polynomial_Opos__poly( X, c_Polynomial_OpCons( X, Z, Y ) ) }.
% 0.90/1.53 { ! alpha1( X, Y, Z ), Y = c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly
% 0.90/1.53 ( X ) ) }.
% 0.90/1.53 { ! alpha1( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.90/1.53 { ! Y = c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.90/1.53 alpha1( X, Y, Z ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__0( X ), c_Groups_Otimes__class_Otimes(
% 0.90/1.53 tc_Polynomial_Opoly( X ), T, c_Polynomial_OpCons( X, Z, Y ) ) =
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Polynomial_Opoly( X ),
% 0.90/1.53 c_Polynomial_Osmult( X, Z, T ), c_Polynomial_OpCons( X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes(
% 0.90/1.53 tc_Polynomial_Opoly( X ), T, Y ) ) ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__0( X ), c_Groups_Otimes__class_Otimes(
% 0.90/1.53 tc_Polynomial_Opoly( X ), c_Polynomial_OpCons( X, T, Z ), Y ) =
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Polynomial_Opoly( X ),
% 0.90/1.53 c_Polynomial_Osmult( X, T, Y ), c_Polynomial_OpCons( X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes(
% 0.90/1.53 tc_Polynomial_Opoly( X ), Z, Y ) ) ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__0( X ), c_Polynomial_Osynthetic__div( X,
% 0.90/1.53 c_Polynomial_OpCons( X, T, Z ), Y ) = c_Polynomial_OpCons( X, hAPP(
% 0.90/1.53 c_Polynomial_Opoly( X, Z ), Y ), c_Polynomial_Osynthetic__div( X, Z, Y )
% 0.90/1.53 ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.90/1.53 X, Z, Y ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.90/1.53 X, T, Y ) ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.90/1.53 X, Z, Y ) ) = c_Groups_Otimes__class_Otimes( X, Z,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, U, T
% 0.90/1.53 ), Y ) ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.90/1.53 X, Z, Y ) ) = c_Groups_Otimes__class_Otimes( X, U,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.90/1.53 , Y ) ) ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, T, Y
% 0.90/1.53 ), Z ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.90/1.53 , Y ) ) }.
% 0.90/1.53 { ! class_Groups_Oab__semigroup__mult( X ), c_Groups_Otimes__class_Otimes(
% 0.90/1.53 X, c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.90/1.53 , Y ) ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.53 T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.90/1.53 ), Y ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.53 T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Otimes__class_Otimes( X, T
% 0.90/1.53 , Y ) ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.53 Z, Y ) = c_Groups_Otimes__class_Otimes( X, Y, Z ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__0( X ), hAPP( c_Polynomial_Opoly( X,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Polynomial_Opoly( X ), T, Z ) ), Y ) =
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, hAPP( c_Polynomial_Opoly( X, T ), Y ),
% 0.90/1.53 hAPP( c_Polynomial_Opoly( X, Z ), Y ) ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__0( X ), c_Groups_Otimes__class_Otimes(
% 0.90/1.53 tc_Polynomial_Opoly( X ), c_Polynomial_Omonom( X, U, T ),
% 0.90/1.53 c_Polynomial_Omonom( X, Z, Y ) ) = c_Polynomial_Omonom( X,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Oplus__class_Oplus(
% 0.90/1.53 tc_Nat_Onat, T, Y ) ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.53 Y, c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.53 }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.53 }.
% 0.90/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.90/1.53 , c_Groups_Oplus__class_Oplus( X, T, Y ) ), c_Orderings_Oord__class_Oless
% 0.90/1.53 ( X, Z, Y ) }.
% 0.90/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Z, T )
% 0.90/1.53 , c_Groups_Oplus__class_Oplus( X, Y, T ) ), c_Orderings_Oord__class_Oless
% 0.90/1.53 ( X, Z, Y ) }.
% 0.90/1.53 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.90/1.53 ( X, U, T ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.53 c_Groups_Oplus__class_Oplus( X, Z, U ), c_Groups_Oplus__class_Oplus( X, Y
% 0.90/1.53 , T ) ) }.
% 0.90/1.53 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.90/1.53 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.90/1.53 , T, Y ) ) }.
% 0.90/1.53 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.90/1.53 X, c_Groups_Oplus__class_Oplus( X, Z, T ), c_Groups_Oplus__class_Oplus( X
% 0.90/1.53 , Y, T ) ) }.
% 0.90/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.90/1.53 , c_Groups_Oplus__class_Oplus( X, T, Y ) ), c_Orderings_Oord__class_Oless
% 0.90/1.53 ( X, Z, Y ) }.
% 0.90/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.90/1.53 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.90/1.53 , T, Y ) ) }.
% 0.90/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.90/1.53 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ), c_Orderings_Oord__class_Oless
% 0.90/1.53 ( X, T, Y ) }.
% 0.90/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, T, Y ), c_Orderings_Oord__class_Oless(
% 0.90/1.53 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.90/1.53 , Y, Z ) ) }.
% 0.90/1.53 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.90/1.53 ( X ), ! c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.90/1.53 , U, T ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.90/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Y )
% 0.90/1.53 , c_Groups_Otimes__class_Otimes( X, Z, T ) ), U = Z, T = Y }.
% 0.90/1.53 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.90/1.53 ( X ), ! U = Z, c_Groups_Oplus__class_Oplus( X,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.90/1.53 X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, U, Y ), c_Groups_Otimes__class_Otimes(
% 0.90/1.53 X, Z, T ) ) }.
% 0.90/1.53 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.90/1.53 ( X ), ! T = Y, c_Groups_Oplus__class_Oplus( X,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.90/1.53 X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, U, Y ), c_Groups_Otimes__class_Otimes(
% 0.90/1.53 X, Z, T ) ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Groups_Otimes__class_Otimes(
% 0.90/1.53 X, Y, Z ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.90/1.53 c_Groups_Oplus__class_Oplus( X, T, Y ), Z ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.53 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.90/1.53 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.90/1.53 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.90/1.53 ( X ), U = T, Z = Y, ! c_Groups_Oplus__class_Oplus( X,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.90/1.53 X, T, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, U, Y ), c_Groups_Otimes__class_Otimes(
% 0.90/1.53 X, T, Z ) ) }.
% 0.90/1.53 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.90/1.53 ( X ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.53 U, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) =
% 0.90/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Y )
% 0.90/1.53 , c_Groups_Otimes__class_Otimes( X, T, Z ) ), ! U = T }.
% 0.90/1.53 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.90/1.53 ( X ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.53 U, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) =
% 0.90/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Y )
% 0.90/1.53 , c_Groups_Otimes__class_Otimes( X, T, Z ) ), ! Z = Y }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.53 T, c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.90/1.53 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__0( X ), c_Groups_Otimes__class_Otimes(
% 0.90/1.53 tc_Polynomial_Opoly( X ), Y, c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Polynomial_Opoly( X ) ) ) = c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__0( X ), c_Groups_Otimes__class_Otimes(
% 0.90/1.53 tc_Polynomial_Opoly( X ), c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Polynomial_Opoly( X ) ), Y ) = c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.90/1.53 , c_Groups_Oplus__class_Oplus( X, Y, Y ), c_Groups_Ozero__class_Ozero( X
% 0.90/1.53 ) ), c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X
% 0.90/1.53 ) ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.90/1.53 , Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.90/1.53 , c_Groups_Oplus__class_Oplus( X, Y, Y ), c_Groups_Ozero__class_Ozero( X
% 0.90/1.53 ) ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__0( X ), c_Polynomial_Osmult( X, T,
% 0.90/1.53 c_Polynomial_Osmult( X, Z, Y ) ) = c_Polynomial_Osmult( X,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__0( X ), c_Groups_Otimes__class_Otimes(
% 0.90/1.53 tc_Polynomial_Opoly( X ), c_Polynomial_Osmult( X, T, Z ), Y ) =
% 0.90/1.53 c_Polynomial_Osmult( X, T, c_Groups_Otimes__class_Otimes(
% 0.90/1.53 tc_Polynomial_Opoly( X ), Z, Y ) ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__0( X ), c_Groups_Otimes__class_Otimes(
% 0.90/1.53 tc_Polynomial_Opoly( X ), T, c_Polynomial_Osmult( X, Z, Y ) ) =
% 0.90/1.53 c_Polynomial_Osmult( X, Z, c_Groups_Otimes__class_Otimes(
% 0.90/1.53 tc_Polynomial_Opoly( X ), T, Y ) ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__0( X ), c_Groups_Otimes__class_Otimes(
% 0.90/1.53 tc_Polynomial_Opoly( X ), c_Groups_Oplus__class_Oplus(
% 0.90/1.53 tc_Polynomial_Opoly( X ), T, Z ), Y ) = c_Groups_Oplus__class_Oplus(
% 0.90/1.53 tc_Polynomial_Opoly( X ), c_Groups_Otimes__class_Otimes(
% 0.90/1.53 tc_Polynomial_Opoly( X ), T, Y ), c_Groups_Otimes__class_Otimes(
% 0.90/1.53 tc_Polynomial_Opoly( X ), Z, Y ) ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__idom( X ), ! c_Polynomial_Opos__poly( X, Y ),
% 0.90/1.53 ! c_Polynomial_Opos__poly( X, Z ), c_Polynomial_Opos__poly( X,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Polynomial_Opoly( X ), Y, Z ) ) }.
% 0.90/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.53 c_Groups_Oplus__class_Oplus( X, Y, Y ) ), c_Orderings_Oord__class_Oless(
% 0.90/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.90/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.53 c_Groups_Oplus__class_Oplus( X, Y, Y ) ) }.
% 0.90/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.90/1.53 , c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Y
% 0.90/1.53 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.90/1.53 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.90/1.53 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.90/1.53 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.53 c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.90/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.90/1.53 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.90/1.53 , c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.90/1.53 ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.53 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.90/1.53 ( X ), Y = c_Groups_Ozero__class_Ozero( X ), ! W = U, T = Z, !
% 0.90/1.53 c_Groups_Oplus__class_Oplus( X, W, c_Groups_Otimes__class_Otimes( X, Y, T
% 0.90/1.53 ) ) = c_Groups_Oplus__class_Oplus( X, U, c_Groups_Otimes__class_Otimes(
% 0.90/1.53 X, Y, Z ) ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__0( X ), c_Polynomial_Osynthetic__div( X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), Y ) =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__0( X ), c_Polynomial_Osmult( X, T,
% 0.90/1.53 c_Polynomial_OpCons( X, Z, Y ) ) = c_Polynomial_OpCons( X,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Polynomial_Osmult( X, T, Y )
% 0.90/1.53 ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__0( X ), hAPP( c_Polynomial_Ocoeff( X,
% 0.90/1.53 c_Polynomial_Osmult( X, T, Z ) ), Y ) = c_Groups_Otimes__class_Otimes( X
% 0.90/1.53 , T, hAPP( c_Polynomial_Ocoeff( X, Z ), Y ) ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__0( X ), hAPP( c_Polynomial_Opoly( X,
% 0.90/1.53 c_Polynomial_Osmult( X, T, Z ) ), Y ) = c_Groups_Otimes__class_Otimes( X
% 0.90/1.53 , T, hAPP( c_Polynomial_Opoly( X, Z ), Y ) ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__0( X ), c_Polynomial_Osmult( X, T,
% 0.90/1.53 c_Polynomial_Omonom( X, Z, Y ) ) = c_Polynomial_Omonom( X,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), hAPP( c_Polynomial_Ocoeff( X,
% 0.90/1.53 c_Polynomial_OpCons( X, Z, Y ) ), c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Nat_Onat ) ) = Z }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__0( X ), hAPP( c_Polynomial_Opoly( X,
% 0.90/1.53 c_Polynomial_OpCons( X, T, Z ) ), Y ) = c_Groups_Oplus__class_Oplus( X, T
% 0.90/1.53 , c_Groups_Otimes__class_Otimes( X, Y, hAPP( c_Polynomial_Opoly( X, Z ),
% 0.90/1.53 Y ) ) ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), !
% 0.90/1.53 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize( X, Y ) =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Polynomial_Opoly( X ) ),
% 0.90/1.53 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize( X, Y ) =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), c_Polynomial_Omonom( X, Y,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) = c_Polynomial_OpCons( X, Y
% 0.90/1.53 , c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), ! hAPP( hAPP( hAPP( Z,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Polynomial_Opoly( X ) ) ), Y ) = Y, c_Polynomial_Opoly__rec( T, X, Y,
% 0.90/1.53 Z, c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ) = Y }.
% 0.90/1.53 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z )
% 0.90/1.53 , c_Groups_Otimes__class_Otimes( X, Y, Y ) ) ), ! Z =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.53 }.
% 0.90/1.53 { ! class_Rings_Olinordered__ring__strict( X ), Z =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.90/1.53 X, Y, Y ) ) ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__ring__strict( X ), Y =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.90/1.53 X, Y, Y ) ) ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__ring( X ), ! c_Orderings_Oord__class_Oless( X
% 0.90/1.53 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z
% 0.90/1.53 ), c_Groups_Otimes__class_Otimes( X, Y, Y ) ),
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.90/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z )
% 0.90/1.53 , c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.90/1.53 .
% 0.90/1.53 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.90/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z )
% 0.90/1.53 , c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.90/1.53 .
% 0.90/1.53 { ! class_Rings_Olinordered__ring__strict( X ), ! Z =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.53 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z
% 0.90/1.53 ), c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.90/1.53 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, T, Z ), c_Orderings_Oord__class_Oless(
% 0.90/1.53 X, T, c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.90/1.53 ( X, T, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.90/1.53 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, T, Z ) ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.90/1.53 ( X, T, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.90/1.53 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, Z, T ) ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__comm__semiring__strict( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.90/1.53 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.90/1.53 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.90/1.53 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.90/1.53 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.90/1.53 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.90/1.53 ( X, c_Groups_Otimes__class_Otimes( X, Z, T ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.90/1.53 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.90/1.53 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__idom( X ), Z = Y,
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.90/1.53 X, Y, Z ) }.
% 0.90/1.53 { ! class_Rings_Ono__zero__divisors( X ), ! c_Groups_Otimes__class_Otimes(
% 0.90/1.53 X, Z, Y ) = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.90/1.53 .
% 0.90/1.53 { ! class_Rings_Ono__zero__divisors( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.90/1.53 X ), Z = c_Groups_Ozero__class_Ozero( X ), !
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, Y, Z ) = c_Groups_Ozero__class_Ozero( X
% 0.90/1.53 ) }.
% 0.90/1.53 { ! class_Rings_Oring__no__zero__divisors( X ), !
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.90/1.53 ), Z = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero
% 0.90/1.53 ( X ) }.
% 0.90/1.53 { ! class_Rings_Oring__no__zero__divisors( X ), ! Z =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.90/1.53 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.53 { ! class_Rings_Oring__no__zero__divisors( X ), ! Y =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.90/1.53 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.53 { ! class_Rings_Omult__zero( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.53 { ! class_Rings_Omult__zero( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.53 }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.53 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.90/1.53 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.90/1.53 { ! class_Rings_Osemiring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Oplus__class_Oplus( X
% 0.90/1.53 , c_Groups_Otimes__class_Otimes( X, Z, T ), Y ) ) =
% 0.90/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.53 c_Groups_Oplus__class_Oplus( X, U, Z ), T ), Y ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__ring( X ), ! c_Orderings_Oord__class_Oless( X
% 0.90/1.53 , c_Groups_Otimes__class_Otimes( X, Y, Y ), c_Groups_Ozero__class_Ozero(
% 0.90/1.53 X ) ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.90/1.53 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ), alpha2( X, Y, Z, T ),
% 0.90/1.53 alpha26( X, Y, Z, T ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha2( X, Y, Z, T ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.90/1.53 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha26( X, Y, Z, T ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.90/1.53 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.90/1.53 { ! alpha26( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.53 { ! alpha26( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Y, T ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.90/1.53 , ! c_Orderings_Oord__class_Oless( X, Y, T ), alpha26( X, Y, Z, T ) }.
% 0.90/1.53 { ! alpha2( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.90/1.53 { ! alpha2( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.90/1.53 , ! c_Orderings_Oord__class_Oless( X, T, Y ), alpha2( X, Y, Z, T ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.90/1.53 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ), alpha3( X, Y, Z, T ),
% 0.90/1.53 alpha27( X, Y, Z, T ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha3( X, Y, Z, T ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.90/1.53 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha27( X, Y, Z, T ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.90/1.53 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.90/1.53 { ! alpha27( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.53 { ! alpha27( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Ozero__class_Ozero( X ) )
% 0.90/1.53 , ! c_Orderings_Oord__class_Oless( X, Y, Z ), alpha27( X, Y, Z, T ) }.
% 0.90/1.53 { ! alpha3( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ), T ) }.
% 0.90/1.53 { ! alpha3( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T )
% 0.90/1.53 , ! c_Orderings_Oord__class_Oless( X, Z, Y ), alpha3( X, Y, Z, T ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.90/1.53 ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.90/1.53 T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, T, Z ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.90/1.53 ! c_Orderings_Oord__class_Oless( X, T, Z ), c_Orderings_Oord__class_Oless
% 0.90/1.53 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.90/1.53 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.90/1.53 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.90/1.53 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.90/1.53 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.90/1.53 Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.90/1.53 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.90/1.53 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.90/1.53 Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ) }
% 0.90/1.53 .
% 0.90/1.53 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ) }
% 0.90/1.53 .
% 0.90/1.53 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.90/1.53 ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.90/1.53 T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.90/1.53 ! c_Orderings_Oord__class_Oless( X, Z, T ), c_Orderings_Oord__class_Oless
% 0.90/1.53 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.90/1.53 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.90/1.53 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.90/1.53 Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.90/1.53 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = Y, X =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.53 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.53 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.53 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), ! X =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.90/1.53 tc_Nat_Onat, Y, X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.53 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, c_Groups_Ozero__class_Ozero
% 0.90/1.53 ( tc_Nat_Onat ) ) = X }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.53 ( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.53 ( tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.90/1.53 tc_Nat_Onat, Y, X ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.53 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.90/1.53 tc_Nat_Onat, Y, X ) ) }.
% 0.90/1.53 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Nat_Onat ), X ) = X }.
% 0.90/1.53 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.90/1.53 ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.53 T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.90/1.53 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.90/1.53 ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.53 T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.90/1.53 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.90/1.53 , Y ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.90/1.53 , T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.90/1.53 { alpha63( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z ),
% 0.90/1.53 hBOOL( hAPP( hAPP( X, Y ), Z ) ) }.
% 0.90/1.53 { alpha63( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP
% 0.90/1.53 ( X, Y ), Z ) ) }.
% 0.90/1.53 { ! alpha63( X, Y, Z ), alpha65( X, Y, Z ), Z = Y }.
% 0.90/1.53 { ! alpha63( X, Y, Z ), alpha65( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z
% 0.90/1.53 ) ) }.
% 0.90/1.53 { ! alpha65( X, Y, Z ), alpha63( X, Y, Z ) }.
% 0.90/1.53 { ! Z = Y, hBOOL( hAPP( hAPP( X, Y ), Z ) ), alpha63( X, Y, Z ) }.
% 0.90/1.53 { ! alpha65( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y )
% 0.90/1.53 }.
% 0.90/1.53 { ! alpha65( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ), hBOOL( hAPP( hAPP(
% 0.90/1.53 X, Y ), Z ) ), alpha65( X, Y, Z ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! X = Y }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, X ) }.
% 0.90/1.53 { Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.90/1.53 { Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ), ! Y = X }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, X ) }.
% 0.90/1.53 { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Nat_Onat ), X ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! X =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.90/1.53 { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Nat_Onat ), X ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.53 ( tc_Nat_Onat ), X ), ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }
% 0.90/1.53 .
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, Z ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ) ) }.
% 0.90/1.53 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ), Z = X, Y =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.53 { ! Z = X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 0.90/1.53 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 0.90/1.53 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ), Y = X, Z =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.53 { ! Y = X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 0.90/1.53 { ! Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Nat_Onat ), Y ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.53 ( tc_Nat_Onat ), Y ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X
% 0.90/1.53 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Nat_Onat ), Z ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.53 ( tc_Nat_Onat ), Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X
% 0.90/1.53 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.90/1.53 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.53 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.53 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.53 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.53 ( tc_Nat_Onat ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Nat_Onat ), Y ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.53 ( tc_Nat_Onat ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Nat_Onat ), X ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.53 ( tc_Nat_Onat ), Y ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Nat_Onat ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.90/1.53 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Nat_Onat ), X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.53 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ), Z = X }.
% 0.90/1.53 { ! Z = X, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) }.
% 0.90/1.53 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ), Y = X }.
% 0.90/1.53 { ! Y = X, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) }.
% 0.90/1.53 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.53 tc_Nat_Onat, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.90/1.53 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, c_Groups_Oplus__class_Oplus
% 0.90/1.53 ( tc_Nat_Onat, Y, X ) ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.90/1.53 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.90/1.53 ( tc_Nat_Onat, Y, X ), Y ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.90/1.53 ( tc_Nat_Onat, Y, X ), X ) }.
% 0.90/1.53 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z,
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) =
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.53 tc_Nat_Onat, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) )
% 0.90/1.53 }.
% 0.90/1.53 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.53 tc_Nat_Onat, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.90/1.53 ( tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) )
% 0.90/1.53 , c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.53 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }
% 0.90/1.53 .
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.53 tc_Nat_Onat, Y, Z ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }
% 0.90/1.53 .
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.53 tc_Nat_Onat, Y, T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }
% 0.90/1.53 .
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, T, X ) =
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.90/1.53 ( tc_Nat_Onat, Y, Z ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y
% 0.90/1.53 , X ) }.
% 0.90/1.53 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, c_Groups_Ozero__class_Ozero( X ), Y ) =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.53 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, c_Groups_Ozero__class_Ozero( X ), Y ) =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.53 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, Y, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.53 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, Y, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.53 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.90/1.53 , Y ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.90/1.53 , T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.53 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.53 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y
% 0.90/1.53 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.53 ( tc_Nat_Onat ), X ), ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z
% 0.90/1.53 ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ), Z = Y }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.53 ( tc_Nat_Onat ), X ), ! Z = Y, c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 0.90/1.53 , X, Z ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), c_Polynomial_Ocoeff( X, c_Polynomial_OpCons( X
% 0.90/1.53 , Z, Y ) ) = c_Nat_Onat_Onat__case( X, Z, c_Polynomial_Ocoeff( X, Y ) ) }
% 0.90/1.53 .
% 0.90/1.53 { ! class_Rings_Olinordered__idom( X ), ! c_Polynomial_Opos__poly( X, Y ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), hAPP
% 0.90/1.53 ( c_Polynomial_Ocoeff( X, Y ), c_Polynomial_Odegree( X, Y ) ) ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.90/1.53 , c_Groups_Ozero__class_Ozero( X ), hAPP( c_Polynomial_Ocoeff( X, Y ),
% 0.90/1.53 c_Polynomial_Odegree( X, Y ) ) ), c_Polynomial_Opos__poly( X, Y ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__0( X ), hAPP( c_Polynomial_Ocoeff( X,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Polynomial_Opoly( X ), Z, Y ) ),
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Polynomial_Odegree( X, Z ),
% 0.90/1.53 c_Polynomial_Odegree( X, Y ) ) ) = c_Groups_Otimes__class_Otimes( X, hAPP
% 0.90/1.53 ( c_Polynomial_Ocoeff( X, Z ), c_Polynomial_Odegree( X, Z ) ), hAPP(
% 0.90/1.53 c_Polynomial_Ocoeff( X, Y ), c_Polynomial_Odegree( X, Y ) ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Nat_Onat ), skol3( Z, T ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol3( X, Y ) ) = X }.
% 0.90/1.53 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 0.90/1.53 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 0.90/1.53 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.90/1.53 Z, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__0( X ), c_Polynomial_Odegree( X,
% 0.90/1.53 c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly( X, Z, Y ) ) =
% 0.90/1.53 c_Polynomial_Odegree( X, Z ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), c_Polynomial_Odegree( X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ) =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.53 c_Polynomial_Odegree( X, c_Polynomial_Omonom( X, Y, Z ) ) = Z }.
% 0.90/1.53 { ! class_Groups_Ocomm__monoid__add( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.53 tc_Nat_Onat, c_Polynomial_Odegree( X, Z ), c_Polynomial_Odegree( X, Y ) )
% 0.90/1.53 , c_Polynomial_Odegree( X, c_Groups_Oplus__class_Oplus(
% 0.90/1.53 tc_Polynomial_Opoly( X ), Y, Z ) ) = c_Polynomial_Odegree( X, Y ) }.
% 0.90/1.53 { ! class_Groups_Ocomm__monoid__add( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.53 tc_Nat_Onat, c_Polynomial_Odegree( X, Z ), c_Polynomial_Odegree( X, Y ) )
% 0.90/1.53 , c_Polynomial_Odegree( X, c_Groups_Oplus__class_Oplus(
% 0.90/1.53 tc_Polynomial_Opoly( X ), Z, Y ) ) = c_Polynomial_Odegree( X, Y ) }.
% 0.90/1.53 { ! class_Groups_Ocomm__monoid__add( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.53 tc_Nat_Onat, c_Polynomial_Odegree( X, Z ), Y ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Polynomial_Odegree( X, T )
% 0.90/1.53 , Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Polynomial_Odegree(
% 0.90/1.53 X, c_Groups_Oplus__class_Oplus( tc_Polynomial_Opoly( X ), Z, T ) ), Y ) }
% 0.90/1.53 .
% 0.90/1.53 { hAPP( c_Nat_Onat_Onat__case( Z, Y, X ), c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Nat_Onat ) ) = Y }.
% 0.90/1.53 { ! class_Rings_Oidom( X ), ! Z = c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.53 c_Polynomial_Odegree( X, c_Polynomial_Osmult( X, Z, Y ) ) =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.53 { ! class_Rings_Oidom( X ), Z = c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.53 c_Polynomial_Odegree( X, c_Polynomial_Osmult( X, Z, Y ) ) =
% 0.90/1.53 c_Polynomial_Odegree( X, Y ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.53 c_Polynomial_Odegree( X, Z ), Y ), hAPP( c_Polynomial_Ocoeff( X, Z ), Y )
% 0.90/1.53 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), ! hAPP( c_Polynomial_Ocoeff( X, Y ),
% 0.90/1.53 c_Polynomial_Odegree( X, Y ) ) = c_Groups_Ozero__class_Ozero( X ), Y =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Polynomial_Opoly( X ) ), hAPP( c_Polynomial_Ocoeff( X, Y ),
% 0.90/1.53 c_Polynomial_Odegree( X, Y ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Polynomial_Opoly( X ) ), ! hAPP( c_Polynomial_Ocoeff( X, Y ),
% 0.90/1.53 c_Polynomial_Odegree( X, Y ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), c_Polynomial_Odegree( X, c_Polynomial_OpCons(
% 0.90/1.53 X, Y, c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ) ) =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.53 { ! class_Rings_Oidom( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Polynomial_Opoly( X ) ), Z = c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Polynomial_Opoly( X ) ), c_Polynomial_Odegree( X,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Polynomial_Opoly( X ), Y, Z ) ) =
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Polynomial_Odegree( X, Y ),
% 0.90/1.53 c_Polynomial_Odegree( X, Z ) ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__0( X ), ! c_Polynomial_Osynthetic__div( X
% 0.90/1.53 , Z, Y ) = c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ),
% 0.90/1.53 c_Polynomial_Odegree( X, Z ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.90/1.53 }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__0( X ), ! c_Polynomial_Odegree( X, Z ) =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Polynomial_Osynthetic__div
% 0.90/1.53 ( X, Z, Y ) = c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.53 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ), Z =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y = X }.
% 0.90/1.53 { ! Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 0.90/1.53 { ! Y = X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 0.90/1.53 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.53 tc_Nat_Onat, T, Z ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, Z ), X ) ) =
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.53 tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, T, Y ), Z ), X ) }
% 0.90/1.53 .
% 0.90/1.53 { ! class_Fields_Ofield( X ), ! c_Polynomial_Opdivmod__rel( X, U, T, Z, Y )
% 0.90/1.53 , U = c_Groups_Oplus__class_Oplus( tc_Polynomial_Opoly( X ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Polynomial_Opoly( X ), Z, T ), Y ) }.
% 0.90/1.53 { ! class_Fields_Ofield( X ), ! c_Polynomial_Opdivmod__rel( X, U, T, Z, Y )
% 0.90/1.53 , alpha47( X, Y, Z, T ) }.
% 0.90/1.53 { ! class_Fields_Ofield( X ), ! U = c_Groups_Oplus__class_Oplus(
% 0.90/1.53 tc_Polynomial_Opoly( X ), c_Groups_Otimes__class_Otimes(
% 0.90/1.53 tc_Polynomial_Opoly( X ), Z, T ), Y ), ! alpha47( X, Y, Z, T ),
% 0.90/1.53 c_Polynomial_Opdivmod__rel( X, U, T, Z, Y ) }.
% 0.90/1.53 { ! alpha47( X, Y, Z, T ), alpha4( X, Z, T ) }.
% 0.90/1.53 { ! alpha47( X, Y, Z, T ), alpha28( X, Y, T ) }.
% 0.90/1.53 { ! alpha4( X, Z, T ), ! alpha28( X, Y, T ), alpha47( X, Y, Z, T ) }.
% 0.90/1.53 { ! alpha28( X, Y, Z ), Z = c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Polynomial_Opoly( X ) ), alpha48( X, Y, Z ) }.
% 0.90/1.53 { ! Z = c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), alpha28( X
% 0.90/1.53 , Y, Z ) }.
% 0.90/1.53 { ! alpha48( X, Y, Z ), alpha28( X, Y, Z ) }.
% 0.90/1.53 { ! alpha48( X, Y, Z ), Y = c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Polynomial_Opoly( X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.53 c_Polynomial_Odegree( X, Y ), c_Polynomial_Odegree( X, Z ) ) }.
% 0.90/1.53 { ! Y = c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), alpha48( X
% 0.90/1.53 , Y, Z ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Polynomial_Odegree( X, Y
% 0.90/1.53 ), c_Polynomial_Odegree( X, Z ) ), alpha48( X, Y, Z ) }.
% 0.90/1.53 { ! alpha4( X, Y, Z ), ! Z = c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Polynomial_Opoly( X ) ), Y = c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.53 { Z = c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), alpha4( X, Y
% 0.90/1.53 , Z ) }.
% 0.90/1.53 { ! Y = c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), alpha4( X
% 0.90/1.53 , Y, Z ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), ! c_Orderings_Oord__class_Oless__eq(
% 0.90/1.53 tc_Nat_Onat, c_Polynomial_Odegree( X, Z ), Y ), ! hAPP(
% 0.90/1.53 c_Polynomial_Ocoeff( X, Z ), Y ) = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Polynomial_Odegree( X, Z )
% 0.90/1.53 , Y ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), c_Polynomial_OpCons( X, Z, Y ) =
% 0.90/1.53 c_Polynomial_OAbs__poly( X, c_Nat_Onat_Onat__case( X, Z,
% 0.90/1.53 c_Polynomial_Ocoeff( X, Y ) ) ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Polynomial_Opoly( X ) ),
% 0.90/1.53 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize( X, Y ) =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Polynomial_Opoly( X ) ),
% 0.90/1.53 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize( X, Y ) = c_Nat_OSuc(
% 0.90/1.53 c_Polynomial_Odegree( X, Y ) ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.53 Z, c_Polynomial_Odegree( X, Y ) ), c_Orderings_Oord__class_Oless(
% 0.90/1.53 tc_Nat_Onat, Z, skol4( T, U, Z ) ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.53 Z, c_Polynomial_Odegree( X, Y ) ), ! hAPP( c_Polynomial_Ocoeff( X, Y ),
% 0.90/1.53 skol4( X, Y, Z ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), ! Z = c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Polynomial_Opoly( X ) ), c_Polynomial_Odegree( X, c_Polynomial_OpCons
% 0.90/1.53 ( X, Y, Z ) ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), Z = c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Polynomial_Opoly( X ) ), c_Polynomial_Odegree( X, c_Polynomial_OpCons
% 0.90/1.53 ( X, Y, Z ) ) = c_Nat_OSuc( c_Polynomial_Odegree( X, Z ) ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__0( X ), c_Orderings_Oord__class_Oless__eq
% 0.90/1.53 ( tc_Nat_Onat, c_Polynomial_Odegree( X, c_Polynomial_Opcompose( X, Z, Y )
% 0.90/1.53 ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Polynomial_Odegree( X,
% 0.90/1.53 Z ), c_Polynomial_Odegree( X, Y ) ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc(
% 0.90/1.53 X ) ) }.
% 0.90/1.53 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( X ) ) }.
% 0.90/1.53 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.90/1.53 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Nat_Onat ), c_Nat_OSuc( X ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), X ) ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), X ) ) }.
% 0.90/1.53 { ! class_Fields_Ofield( X ), ! c_Polynomial_Opdivmod__rel( X, U, T, Z, Y )
% 0.90/1.53 , ! c_Polynomial_Opdivmod__rel( X, U, T, V0, W ), Z = V0 }.
% 0.90/1.53 { ! class_Fields_Ofield( X ), ! c_Polynomial_Opdivmod__rel( X, U, T, Z, Y )
% 0.90/1.53 , ! c_Polynomial_Opdivmod__rel( X, U, T, V0, W ), Y = W }.
% 0.90/1.53 { ! class_Fields_Ofield( X ), ! c_Polynomial_Opdivmod__rel( X, T, Z, U, Y )
% 0.90/1.53 , ! c_Polynomial_Opdivmod__rel( X, T, Z, V0, W ), Y = W }.
% 0.90/1.53 { ! class_Fields_Ofield( X ), ! c_Polynomial_Opdivmod__rel( X, T, Z, Y, U )
% 0.90/1.53 , ! c_Polynomial_Opdivmod__rel( X, T, Z, W, V0 ), Y = W }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ), X = Y }
% 0.90/1.53 .
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), ! X = Y,
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.90/1.53 { ! c_Nat_OSuc( Y ) = c_Nat_OSuc( X ), Y = X }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = c_Nat_OSuc( X
% 0.90/1.53 ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Y ), Y = X }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.90/1.53 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ),
% 0.90/1.53 c_Nat_OSuc( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X )
% 0.90/1.53 }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ),
% 0.90/1.53 c_Nat_OSuc( X ) ) }.
% 0.90/1.53 { ! c_Nat_OSuc( Y ) = c_Nat_OSuc( X ), Y = X }.
% 0.90/1.53 { ! Y = X, c_Nat_OSuc( Y ) = c_Nat_OSuc( X ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = c_Nat_OSuc( X
% 0.90/1.53 ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.90/1.53 { ! Y = c_Nat_OSuc( X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 0.90/1.53 , c_Nat_OSuc( X ) ) }.
% 0.90/1.53 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Y ) }.
% 0.90/1.53 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( X ), Y ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( X ), Y ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.90/1.53 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, X ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( X ), X ) }
% 0.90/1.53 .
% 0.90/1.53 { ! c_Nat_OSuc( X ) = X }.
% 0.90/1.53 { ! X = c_Nat_OSuc( X ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat
% 0.90/1.53 , c_Polynomial_Odegree( X, c_Polynomial_OpCons( X, Z, Y ) ), c_Nat_OSuc(
% 0.90/1.53 c_Polynomial_Odegree( X, Y ) ) ) }.
% 0.90/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.90/1.53 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.90/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.90/1.53 T ), c_Groups_Oplus__class_Oplus( X, Y, T ) ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.90/1.53 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.90/1.53 U ), c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.90/1.53 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.90/1.53 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.90/1.53 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.90/1.53 T ), c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.90/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.90/1.53 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.90/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.90/1.53 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.90/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.90/1.53 Z ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.90/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.90/1.53 Z ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.90/1.53 { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) = c_Nat_OSuc( X ) }.
% 0.90/1.53 { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) = c_Nat_OSuc( X ) }.
% 0.90/1.53 { ! c_Nat_OSuc( X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.53 { ! c_Nat_OSuc( X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.53 { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) = c_Nat_OSuc( X ) }.
% 0.90/1.53 { ! c_Nat_OSuc( X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc
% 0.90/1.53 ( X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), Y = X }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), Z ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), c_Nat_OSuc( Y ) = X
% 0.90/1.53 , c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.90/1.53 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ), X = Y }
% 0.90/1.53 .
% 0.90/1.53 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ), Y = X }
% 0.90/1.53 .
% 0.90/1.53 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X,
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc
% 0.90/1.53 ( X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc(
% 0.90/1.53 X ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), Y = X }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.90/1.53 { ! Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) )
% 0.90/1.53 }.
% 0.90/1.53 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.90/1.53 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) =
% 0.90/1.53 c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.90/1.53 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) =
% 0.90/1.53 c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.90/1.53 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) =
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.90/1.53 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.53 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.90/1.53 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ) =
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), X ), Y = X }
% 0.90/1.53 .
% 0.90/1.53 { ! Y = X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), Y )
% 0.90/1.53 = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), X ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.90/1.53 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = X,
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), Y = X }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.90/1.53 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = X,
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ), X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, T ),
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), X =
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol5( X, Y ) ) }.
% 0.90/1.53 { ! X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.90/1.53 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.90/1.53 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, T ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, Z ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ) ) }.
% 0.90/1.53 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, X ) ) ) }.
% 0.90/1.53 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, X ) ) }.
% 0.90/1.53 { hAPP( c_Nat_Onat_Onat__case( T, Z, Y ), c_Nat_OSuc( X ) ) = hAPP( Y, X )
% 0.90/1.53 }.
% 0.90/1.53 { ! class_Fields_Ofield( X ), c_Polynomial_Opdivmod__rel( X, Y,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ),
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), Y ) }.
% 0.90/1.53 { ! class_Fields_Ofield( X ), c_Polynomial_Opdivmod__rel( X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), Y,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ),
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ) }.
% 0.90/1.53 { ! class_Fields_Ofield( X ), ! c_Polynomial_Opdivmod__rel( X, T,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), Z, Y ), Z =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.53 { ! class_Fields_Ofield( X ), ! c_Polynomial_Opdivmod__rel( X, T,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), Z, Y ), Y = T }
% 0.90/1.53 .
% 0.90/1.53 { ! class_Fields_Ofield( X ), ! Z = c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Polynomial_Opoly( X ) ), ! Y = T, c_Polynomial_Opdivmod__rel( X, T,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), Z, Y ) }.
% 0.90/1.53 { ! class_Fields_Ofield( X ), ! c_Polynomial_Opdivmod__rel( X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), T, Z, Y ), Z =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.53 { ! class_Fields_Ofield( X ), ! c_Polynomial_Opdivmod__rel( X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), T, Z, Y ), Y =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.53 { ! class_Fields_Ofield( X ), ! Z = c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Polynomial_Opoly( X ) ), ! Y = c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Polynomial_Opoly( X ) ), c_Polynomial_Opdivmod__rel( X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), T, Z, Y ) }.
% 0.90/1.53 { ! class_Fields_Ofield( X ), ! c_Polynomial_Opdivmod__rel( X, U, T, Z, Y )
% 0.90/1.53 , c_Polynomial_Opdivmod__rel( X, c_Polynomial_Osmult( X, W, U ), T,
% 0.90/1.53 c_Polynomial_Osmult( X, W, Z ), c_Polynomial_Osmult( X, W, Y ) ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), c_Polynomial_OAbs__poly( X,
% 0.90/1.53 c_Polynomial_Ocoeff( X, Y ) ) = Y }.
% 0.90/1.53 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.90/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.53 , c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero(
% 0.90/1.53 X ) ) }.
% 0.90/1.53 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.90/1.53 X ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero( X
% 0.90/1.53 ) ) }.
% 0.90/1.53 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.53 , c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.53 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.90/1.53 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.90/1.53 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.53 , Z, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.53 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.90/1.53 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.90/1.53 { ! class_Rings_Oordered__semiring( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.90/1.53 X ), U ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, Z, U ), c_Groups_Otimes__class_Otimes(
% 0.90/1.53 X, Y, T ) ) }.
% 0.90/1.53 { ! class_Rings_Oordered__semiring( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.90/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.90/1.53 X ), U ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, Z, U ), c_Groups_Otimes__class_Otimes(
% 0.90/1.53 X, Y, T ) ) }.
% 0.90/1.53 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.53 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.53 , c_Groups_Otimes__class_Otimes( X, T, Y ), c_Groups_Otimes__class_Otimes
% 0.90/1.53 ( X, T, Z ) ) }.
% 0.90/1.53 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.53 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.53 , c_Groups_Otimes__class_Otimes( X, Y, T ), c_Groups_Otimes__class_Otimes
% 0.90/1.53 ( X, Z, T ) ) }.
% 0.90/1.53 { ! class_Rings_Oordered__comm__semiring( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.90/1.53 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 0.90/1.53 X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.90/1.53 { ! class_Rings_Oordered__semiring( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.90/1.53 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 0.90/1.53 X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.90/1.53 { ! class_Rings_Oordered__semiring( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.90/1.53 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 0.90/1.53 X, Z, T ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.90/1.53 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.53 , Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.53 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.90/1.53 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.90/1.53 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.90/1.53 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, Y, Z ), c_Groups_Ozero__class_Ozero( X
% 0.90/1.53 ) ) }.
% 0.90/1.53 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.53 , c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero(
% 0.90/1.53 X ) ) }.
% 0.90/1.53 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.53 , c_Groups_Otimes__class_Otimes( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 0.90/1.53 X ) ) }.
% 0.90/1.53 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.90/1.53 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Y, Z
% 0.90/1.53 ) ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.90/1.53 , Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha5( X, Y, Z ), alpha29( X
% 0.90/1.53 , Y, Z ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha5( X, Y, Z ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.90/1.53 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha29( X, Y, Z ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.90/1.53 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.53 { ! alpha29( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.53 { ! alpha29( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.90/1.53 ) ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.90/1.53 ( X ), Y ), alpha29( X, Y, Z ) }.
% 0.90/1.53 { ! alpha5( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.90/1.53 { ! alpha5( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.53 , Z ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ) ), alpha5( X, Y, Z ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), alpha6( X, Y, Z ), alpha30( X
% 0.90/1.53 , Y, Z ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha6( X, Y, Z ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha30( X, Y, Z ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.90/1.53 { ! alpha30( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.53 { ! alpha30( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.90/1.53 ) ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ) ), alpha30( X, Y, Z ) }.
% 0.90/1.53 { ! alpha6( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.90/1.53 { ! alpha6( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.53 , Z ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ), Y ), alpha6( X, Y, Z ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__ring( X ), c_Orderings_Oord__class_Oless__eq(
% 0.90/1.53 X, c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Y
% 0.90/1.53 , Y ) ) }.
% 0.90/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.53 c_Groups_Oplus__class_Oplus( X, Y, Y ) ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.53 ) }.
% 0.90/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.53 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.90/1.53 ), c_Groups_Oplus__class_Oplus( X, Y, Y ) ) }.
% 0.90/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Y,
% 0.90/1.53 Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.53 ) }.
% 0.90/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.53 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X
% 0.90/1.53 , Y, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.90/1.53 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Z )
% 0.90/1.53 ) }.
% 0.90/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.90/1.53 X ), Z ), ! c_Groups_Oplus__class_Oplus( X, Y, Z ) =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.90/1.53 .
% 0.90/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.90/1.53 X ), Z ), ! c_Groups_Oplus__class_Oplus( X, Y, Z ) =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.90/1.53 .
% 0.90/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.90/1.53 X ), Z ), ! Y = c_Groups_Ozero__class_Ozero( X ), ! Z =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Z )
% 0.90/1.53 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oplus__class_Oplus( X,
% 0.90/1.53 Y, Z ) ) }.
% 0.90/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oplus__class_Oplus( X,
% 0.90/1.53 Z, Y ) ) }.
% 0.90/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.53 , c_Groups_Oplus__class_Oplus( X, Y, Z ), c_Groups_Ozero__class_Ozero( X
% 0.90/1.53 ) ) }.
% 0.90/1.53 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Z, U )
% 0.90/1.53 , c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.90/1.53 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, U, T ), c_Orderings_Oord__class_Oless(
% 0.90/1.53 X, c_Groups_Oplus__class_Oplus( X, Z, U ), c_Groups_Oplus__class_Oplus( X
% 0.90/1.53 , Y, T ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.53 ( tc_Nat_Onat ), X ), X = c_Nat_OSuc( skol6( X ) ) }.
% 0.90/1.53 { ! X = c_Nat_OSuc( Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc(
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), X =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.53 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc(
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ), Y =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha7( X, Y ) }.
% 0.90/1.53 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.90/1.53 { ! alpha7( X, Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.90/1.53 c_Nat_OSuc( X ) ) }.
% 0.90/1.53 { ! alpha7( X, Y ), Y = c_Nat_OSuc( skol7( Z, Y ) ) }.
% 0.90/1.53 { ! alpha7( X, Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, skol7( X, Y
% 0.90/1.53 ), X ) }.
% 0.90/1.53 { ! Y = c_Nat_OSuc( Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X
% 0.90/1.53 ), alpha7( X, Y ) }.
% 0.90/1.53 { ! c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ), alpha8( X, Y ), alpha31
% 0.90/1.53 ( X, Y ) }.
% 0.90/1.53 { ! alpha8( X, Y ), c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.90/1.53 ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) }.
% 0.90/1.53 { ! alpha31( X, Y ), c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.90/1.53 ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) }.
% 0.90/1.53 { ! alpha31( X, Y ), Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.53 { ! alpha31( X, Y ), X = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Nat_Onat ) ) }.
% 0.90/1.53 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), ! X = c_Nat_OSuc(
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), alpha31( X, Y ) }.
% 0.90/1.53 { ! alpha8( X, Y ), Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Nat_Onat ) ) }.
% 0.90/1.53 { ! alpha8( X, Y ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.53 { ! Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), ! X =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha8( X, Y ) }.
% 0.90/1.53 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), alpha9( X, Y ), alpha32( X
% 0.90/1.53 , Y ) }.
% 0.90/1.53 { ! alpha9( X, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.90/1.53 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.90/1.53 { ! alpha32( X, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.90/1.53 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.90/1.53 { ! alpha32( X, Y ), Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.53 { ! alpha32( X, Y ), X = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Nat_Onat ) ) }.
% 0.90/1.53 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), ! X = c_Nat_OSuc(
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), alpha32( X, Y ) }.
% 0.90/1.53 { ! alpha9( X, Y ), Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Nat_Onat ) ) }.
% 0.90/1.53 { ! alpha9( X, Y ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.53 { ! Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), ! X =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha9( X, Y ) }.
% 0.90/1.53 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y = c_Nat_OSuc(
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.90/1.53 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X = c_Nat_OSuc(
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.90/1.53 { ! Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), ! X =
% 0.90/1.53 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), X = c_Nat_OSuc(
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol8( X, Y ) ) ) }.
% 0.90/1.53 { ! X = c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ) ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.90/1.53 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc(
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) ) }.
% 0.90/1.53 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc(
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), X ) ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 0.90/1.53 ( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ), c_Groups_Otimes__class_Otimes(
% 0.90/1.53 tc_Nat_Onat, c_Nat_OSuc( Z ), X ) ) }.
% 0.90/1.53 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) =
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.90/1.53 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) =
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), hAPP( c_Polynomial_Ocoeff( X,
% 0.90/1.53 c_Polynomial_OpCons( X, T, Z ) ), c_Nat_OSuc( Y ) ) = hAPP(
% 0.90/1.53 c_Polynomial_Ocoeff( X, Z ), Y ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__0( X ), c_Orderings_Oord__class_Oless__eq
% 0.90/1.53 ( tc_Nat_Onat, c_Polynomial_Odegree( X, c_Polynomial_Osmult( X, Z, Y ) )
% 0.90/1.53 , c_Polynomial_Odegree( X, Y ) ) }.
% 0.90/1.53 { ! class_Groups_Ocomm__monoid__add( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Polynomial_Odegree( X,
% 0.90/1.53 Z ), Y ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.53 c_Polynomial_Odegree( X, T ), Y ), c_Orderings_Oord__class_Oless__eq(
% 0.90/1.53 tc_Nat_Onat, c_Polynomial_Odegree( X, c_Groups_Oplus__class_Oplus(
% 0.90/1.53 tc_Polynomial_Opoly( X ), Z, T ) ), Y ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat
% 0.90/1.53 , c_Polynomial_Odegree( X, c_Polynomial_Omonom( X, Z, Y ) ), Y ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 0.90/1.53 , Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 0.90/1.53 , Z ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.90/1.53 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.90/1.53 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__semiring( X ), ! c_Orderings_Oord__class_Oless
% 0.90/1.53 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, T, Y ) ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.90/1.53 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.90/1.53 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.90/1.53 ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__semiring( X ), ! c_Orderings_Oord__class_Oless
% 0.90/1.53 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, Y, Z ) ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.90/1.53 ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, U, T ), ! c_Orderings_Oord__class_Oless
% 0.90/1.53 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.90/1.53 ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.90/1.53 , U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.90/1.53 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.53 , U ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X
% 0.90/1.53 , Z, U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.90/1.53 ( X, U, T ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.90/1.53 ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.90/1.53 , U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.90/1.53 ( X, U, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.90/1.53 ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.90/1.53 , U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.90/1.53 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.90/1.53 , Y, T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.90/1.53 ! c_Orderings_Oord__class_Oless__eq( X, Z, T ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Y
% 0.90/1.53 , T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.90/1.53 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.90/1.53 , Y, T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.90/1.53 ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Y
% 0.90/1.53 , T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.90/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.53 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.90/1.53 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.90/1.53 , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.90/1.53 ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.90/1.53 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.90/1.53 , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.53 ), ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.90/1.53 ) ) }.
% 0.90/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.90/1.53 ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.90/1.53 ) ) }.
% 0.90/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.53 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.53 , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.53 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.90/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.90/1.53 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.53 , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.53 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.90/1.53 X, Y, Y ) ), c_Groups_Ozero__class_Ozero( X ) ), Z =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.90/1.53 X, Y, Y ) ), c_Groups_Ozero__class_Ozero( X ) ), Y =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__ring__strict( X ), ! Z =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.53 , c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.90/1.53 X, Y, Y ) ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__ring( X ), c_Orderings_Oord__class_Oless__eq(
% 0.90/1.53 X, c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.90/1.53 X, Y, Y ) ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X
% 0.90/1.53 ) }.
% 0.90/1.53 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X
% 0.90/1.53 ) }.
% 0.90/1.53 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.53 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.53 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z
% 0.90/1.53 , Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.90/1.53 { ! class_Fields_Ofield( X ), ! c_Polynomial_Opdivmod__rel( X, U, T, Z, Y )
% 0.90/1.53 , ! c_Polynomial_Opdivmod__rel( X, Z, V1, V0, W ),
% 0.90/1.53 c_Polynomial_Opdivmod__rel( X, U, c_Groups_Otimes__class_Otimes(
% 0.90/1.53 tc_Polynomial_Opoly( X ), T, V1 ), V0, c_Groups_Oplus__class_Oplus(
% 0.90/1.53 tc_Polynomial_Opoly( X ), c_Groups_Otimes__class_Otimes(
% 0.90/1.53 tc_Polynomial_Opoly( X ), T, W ), Y ) ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), hAPP( c_Polynomial_Ocoeff( X, Z ), Y ) =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless__eq(
% 0.90/1.53 tc_Nat_Onat, Y, c_Polynomial_Odegree( X, Z ) ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Polynomial_Opoly( X ) ), c_Polynomial_Odegree( X, c_Polynomial_OpCons
% 0.90/1.53 ( X, Z, Y ) ) = c_Nat_OSuc( c_Polynomial_Odegree( X, Y ) ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), c_Polynomial_Omonom( X, Z, c_Nat_OSuc( Y ) ) =
% 0.90/1.53 c_Polynomial_OpCons( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.53 c_Polynomial_Omonom( X, Z, Y ) ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__0( X ), c_Orderings_Oord__class_Oless__eq
% 0.90/1.53 ( tc_Nat_Onat, c_Polynomial_Odegree( X, c_Groups_Otimes__class_Otimes(
% 0.90/1.53 tc_Polynomial_Opoly( X ), Z, Y ) ), c_Groups_Oplus__class_Oplus(
% 0.90/1.53 tc_Nat_Onat, c_Polynomial_Odegree( X, Z ), c_Polynomial_Odegree( X, Y ) )
% 0.90/1.53 ) }.
% 0.90/1.53 { ! class_Rings_Oidom( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Polynomial_Opoly( X ) ), c_Orderings_Oord__class_Oless__eq(
% 0.90/1.53 tc_Nat_Onat, c_Polynomial_Oorder( X, Z, Y ), c_Polynomial_Odegree( X, Y )
% 0.90/1.53 ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( c_Nat_OSuc(
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) ), X =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X = c_Nat_OSuc(
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.90/1.53 { ! class_Orderings_Opreorder( X ), c_Orderings_Oord__class_Oless__eq( X, Y
% 0.90/1.53 , Y ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), X =
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol9( X, Y ) ) }.
% 0.90/1.53 { ! X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.90/1.53 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.90/1.53 ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.90/1.53 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.53 , Y, Z ), ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.90/1.53 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.90/1.53 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.90/1.53 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.90/1.53 Z ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.90/1.53 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.90/1.53 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.90/1.53 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.90/1.53 , c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.90/1.53 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.90/1.53 , ! Z = Y }.
% 0.90/1.53 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.90/1.53 , Y ), Z = Y, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.90/1.53 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.90/1.53 , Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.90/1.53 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.90/1.53 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.90/1.53 hAPP( Y, U ) ) }.
% 0.90/1.53 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.90/1.53 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.90/1.53 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.90/1.53 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Y = Z }.
% 0.90/1.53 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.53 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, T ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.90/1.53 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.90/1.53 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Z = Y }.
% 0.90/1.53 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.90/1.53 , Y ), ! Z = T, c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.90/1.53 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y
% 0.90/1.53 ), ! Y = T, c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.90/1.53 { ! class_Orderings_Oorder( X ), ! Z = Y, !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.90/1.53 { ! class_Orderings_Oord( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.90/1.53 ( X, Y, T ), c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.90/1.53 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.90/1.53 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Y = Z }.
% 0.90/1.53 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.90/1.53 , Y ), ! Y = Z, c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.90/1.53 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.90/1.53 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.90/1.53 hAPP( Y, U ) ) }.
% 0.90/1.53 { ! class_Orderings_Opreorder( X ), ! Z = Y,
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.90/1.53 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.90/1.53 ( X, Z, Y ) }.
% 0.90/1.53 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.90/1.53 ( X, Y, Z ) }.
% 0.90/1.53 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.90/1.53 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Z = Y }.
% 0.90/1.53 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.90/1.53 , Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.90/1.53 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.90/1.53 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.90/1.53 hAPP( Y, U ) ) }.
% 0.90/1.53 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, hAPP
% 0.90/1.53 ( Z, skol10( X, Y, Z ) ), hAPP( Y, skol10( X, Y, Z ) ) ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ) }.
% 0.90/1.53 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.90/1.53 ), Z = Y, c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.90/1.53 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.53 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.90/1.53 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.90/1.53 , ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.90/1.53 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.53 Y ), ! c_Orderings_Oord__class_Oless( X, Y, T ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.90/1.53 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.90/1.53 , ! Z = T, c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.90/1.53 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y ),
% 0.90/1.53 ! Y = T, c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.90/1.53 { ! class_Orderings_Oorder( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless(
% 0.90/1.53 X, T, Y ), c_Orderings_Oord__class_Oless( X, T, Z ) }.
% 0.90/1.53 { ! class_Orderings_Oord( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless( X
% 0.90/1.53 , Y, T ), c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.90/1.53 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.90/1.53 , ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.90/1.53 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.53 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.90/1.53 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.90/1.53 , ! Y = Z }.
% 0.90/1.53 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.90/1.53 , ! Z = Y }.
% 0.90/1.53 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.53 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.90/1.53 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.53 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.90/1.53 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.90/1.53 , ! Z = Y }.
% 0.90/1.53 { ! class_Orderings_Olinorder( X ), Z = Y, c_Orderings_Oord__class_Oless( X
% 0.90/1.53 , Z, Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.90/1.53 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.90/1.53 ), c_Orderings_Oord__class_Oless( X, Y, Z ), Y = Z }.
% 0.90/1.53 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.90/1.53 ), ! Y = Z, ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.90/1.53 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.90/1.53 ), Z = Y, c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.90/1.53 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.90/1.53 ), c_Orderings_Oord__class_Oless( X, Y, Z ), Z = Y }.
% 0.90/1.53 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.90/1.53 Z ), ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.90/1.53 { ! class_Orderings_Olinorder( X ), ! Z = Y, !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.90/1.53 { ! class_Orderings_Olinorder( X ), Z = Y, c_Orderings_Oord__class_Oless( X
% 0.90/1.53 , Z, Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.90/1.53 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.53 Y ), ! Z = Y }.
% 0.90/1.53 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.90/1.53 Z ), ! Z = Y }.
% 0.90/1.53 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.90/1.53 Y ) }.
% 0.90/1.53 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.90/1.53 , Y ), ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.90/1.53 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.53 , Z, Y ), ! c_Orderings_Oord__class_Oless( X, Y, T ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.90/1.53 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.90/1.53 , ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.90/1.53 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.53 Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, T ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.90/1.53 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.90/1.53 , Y ), Y = Z, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.90/1.53 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.90/1.53 , Y ), Z = Y, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.90/1.53 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.90/1.53 , Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.90/1.53 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.53 , Z, Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.90/1.53 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.53 , Z, Y ), ! Z = Y, ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.90/1.53 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.53 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.90/1.53 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.53 , Z, Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.90/1.53 { ! class_Orderings_Oorder( X ), Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.90/1.53 ( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.90/1.53 { ! class_Orderings_Oorder( X ), Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.90/1.53 ( X, Z, Y ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.90/1.53 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.90/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ), Z = Y }.
% 0.90/1.53 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.90/1.53 ), ! Z = Y, c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.90/1.53 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.90/1.53 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.90/1.53 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.90/1.53 ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.90/1.53 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.90/1.53 , Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.90/1.53 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.90/1.53 , c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.90/1.53 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.90/1.53 ( X, Z, Y ) }.
% 0.90/1.53 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.53 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.90/1.53 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.53 Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.90/1.53 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.53 , Z, Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z
% 0.90/1.53 , skol11( T, U, Z ) ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.53 c_Polynomial_Odegree( X, Y ), Z ) }.
% 0.90/1.53 { ! class_Groups_Ozero( X ), ! hAPP( c_Polynomial_Ocoeff( X, Y ), skol11( X
% 0.90/1.53 , Y, Z ) ) = c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Polynomial_Odegree( X,
% 0.90/1.53 Y ), Z ) }.
% 0.90/1.53 { ! class_Rings_Olinordered__semiring__1__strict( X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.90/1.53 ( X, T, Y ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ), U ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), W
% 0.90/1.53 ), ! c_Groups_Oplus__class_Oplus( X, U, W ) = c_Groups_Oone__class_Oone
% 0.90/1.53 ( X ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.90/1.53 X, W, T ) ), Y ) }.
% 0.90/1.53 { c_Nat_Onat_Onat__size( c_Nat_OSuc( X ) ) = c_Groups_Oplus__class_Oplus(
% 0.90/1.53 tc_Nat_Onat, c_Nat_Onat_Onat__size( X ), c_Nat_OSuc(
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.53 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), T ),
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.53 tc_Nat_Onat, X, U ), Z ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, T
% 0.90/1.53 , c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 0.90/1.53 ( tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z
% 0.90/1.53 ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T,
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.53 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 0.90/1.53 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.53 tc_Nat_Onat, Y, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.53 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), T ),
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.53 tc_Nat_Onat, Y, U ), Z ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.53 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.90/1.53 , Z ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.53 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T ), Z ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.53 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), T ),
% 0.90/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.53 tc_Nat_Onat, Y, U ), Z ) ) }.
% 0.90/1.53 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( tc_fun( T,
% 0.90/1.53 X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ) }
% 0.90/1.53 .
% 0.90/1.53 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( tc_fun( T,
% 0.90/1.53 X ), Z, Y ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Y, Z )
% 0.90/1.53 }.
% 0.90/1.53 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.90/1.53 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Y, Z
% 0.90/1.53 ), c_Orderings_Oord__class_Oless( tc_fun( T, X ), Z, Y ) }.
% 0.90/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Y,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.90/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Y, Y )
% 0.90/1.53 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.53 { ! class_Groups_Oab__group__add( X ), ! Z = Y,
% 0.90/1.53 c_Groups_Ominus__class_Ominus( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.90/1.53 ) }.
% 0.90/1.53 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.90/1.53 Z, Y ) = c_Groups_Ozero__class_Ozero( X ), Z = Y }.
% 0.90/1.53 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ominus__class_Ominus( X, Z, Y
% 0.90/1.53 ) = c_Groups_Ozero__class_Ozero( X ), Z = Y }.
% 0.90/1.53 { ! class_Groups_Ogroup__add( X ), ! Z = Y, c_Groups_Ominus__class_Ominus(
% 0.90/1.53 X, Z, Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.90/1.53 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.90/1.53 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.90/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.90/1.53 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.90/1.53 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( X, U, T ) }.
% 0.90/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.90/1.53 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.90/1.53 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, U, T ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.90/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.90/1.53 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.90/1.53 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, Z, Y ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( X, U, T ) }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oone__class_Oone(
% 0.90/1.53 tc_Polynomial_Opoly( X ) ) = c_Polynomial_OpCons( X,
% 0.90/1.53 c_Groups_Oone__class_Oone( X ), c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Polynomial_Opoly( X ) ) ) }.
% 0.90/1.53 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Ominus__class_Ominus( X, Z
% 0.90/1.53 , Y ) ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.90/1.53 ( X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.90/1.53 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Ominus__class_Ominus( X, Z
% 0.90/1.53 , Y ) ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.90/1.53 ( X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.90/1.53 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, T, Z
% 0.90/1.53 ), Y ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.90/1.53 ( X, T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.90/1.53 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.90/1.53 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, T, Z
% 0.90/1.53 ), Y ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.90/1.53 ( X, T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.90/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.53 c_Groups_Ominus__class_Ominus( X, Z, Y ), Y ) = Z }.
% 0.90/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.90/1.53 c_Groups_Oplus__class_Oplus( X, Z, Y ), Y ) = Z }.
% 0.90/1.53 { ! class_Rings_Ozero__neq__one( X ), ! c_Groups_Ozero__class_Ozero( X ) =
% 0.90/1.53 c_Groups_Oone__class_Oone( X ) }.
% 0.90/1.53 { ! class_Rings_Ozero__neq__one( X ), ! c_Groups_Oone__class_Oone( X ) =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.53 { ! c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), !
% 0.90/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y = X }.
% 0.90/1.53 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, X ) =
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.53 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 0.90/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) = X }.
% 0.90/1.53 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.53 tc_Nat_Onat ), X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.53 { ! class_Groups_Omonoid__mult( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.53 c_Groups_Oone__class_Oone( X ), Y ) = Y }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.53 c_Groups_Oone__class_Oone( X ), Y ) = Y }.
% 0.90/1.53 { ! class_Groups_Ocomm__monoid__mult( X ), c_Groups_Otimes__class_Otimes( X
% 0.90/1.53 , c_Groups_Oone__class_Oone( X ), Y ) = Y }.
% 0.90/1.53 { ! class_Groups_Omonoid__mult( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.90/1.53 c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.90/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.53 Y, c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.90/1.53 { ! class_Groups_Ocomm__monoid__mult( X ), c_Groups_Otimes__class_Otimes( X
% 0.90/1.53 , Y, c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.90/1.53 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc(
% 0.90/1.53 X ) ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) }.
% 0.90/1.53 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.90/1.53 ( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ), c_Nat_OSuc( X ) ) =
% 0.90/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.90/1.53 ( tc_Nat_Onat, Z, Y ), X ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.90/1.53 ( tc_Nat_Onat, Y, Z ), X ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z ),
% 0.90/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.90/1.53 ( tc_Nat_Onat, Z, X ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.90/1.53 ) }.
% 0.90/1.53 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.53 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) =
% 0.90/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ) }.
% 0.90/1.53 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.53 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) =
% 0.90/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) }.
% 0.90/1.53 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.90/1.53 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.90/1.53 Z, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.90/1.53 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.53 tc_Nat_Onat, Y, X ), Y ) = X }.
% 0.90/1.53 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.53 tc_Nat_Onat, Y, X ), X ) = Y }.
% 0.90/1.53 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ), Y ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ),
% 0.90/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, Z ),
% 0.90/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z ) ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 0.90/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) = Y }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.90/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.90/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X = Z }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), ! X = Z,
% 0.90/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.90/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ),
% 0.90/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.90/1.53 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.90/1.53 ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ),
% 0.90/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ) }.
% 0.90/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ),
% 0.90/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ),
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ) }.
% 0.90/1.54 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) =
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 0.90/1.54 ( tc_Nat_Onat, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X )
% 0.90/1.54 ) }.
% 0.90/1.54 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.90/1.54 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ),
% 0.90/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.90/1.54 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus(
% 0.90/1.54 tc_Polynomial_Opoly( X ), c_Polynomial_OpCons( X, U, T ),
% 0.90/1.54 c_Polynomial_OpCons( X, Z, Y ) ) = c_Polynomial_OpCons( X,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( X, U, Z ), c_Groups_Ominus__class_Ominus(
% 0.90/1.54 tc_Polynomial_Opoly( X ), T, Y ) ) }.
% 0.90/1.54 { ! class_Groups_Oab__group__add( X ), hAPP( c_Polynomial_Ocoeff( X,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Polynomial_Opoly( X ), T, Z ) ), Y ) =
% 0.90/1.54 c_Groups_Ominus__class_Ominus( X, hAPP( c_Polynomial_Ocoeff( X, T ), Y )
% 0.90/1.54 , hAPP( c_Polynomial_Ocoeff( X, Z ), Y ) ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__ring( X ), c_Polynomial_Osmult( X,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( X, T, Z ), Y ) =
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Polynomial_Opoly( X ),
% 0.90/1.54 c_Polynomial_Osmult( X, T, Y ), c_Polynomial_Osmult( X, Z, Y ) ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__ring( X ), hAPP( c_Polynomial_Opoly( X,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Polynomial_Opoly( X ), T, Z ) ), Y ) =
% 0.90/1.54 c_Groups_Ominus__class_Ominus( X, hAPP( c_Polynomial_Opoly( X, T ), Y ),
% 0.90/1.54 hAPP( c_Polynomial_Opoly( X, Z ), Y ) ) }.
% 0.90/1.54 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus(
% 0.90/1.54 tc_Polynomial_Opoly( X ), c_Polynomial_Omonom( X, T, Z ),
% 0.90/1.54 c_Polynomial_Omonom( X, Y, Z ) ) = c_Polynomial_Omonom( X,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( X, T, Y ), Z ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( c_Polynomial_Opoly( X,
% 0.90/1.54 c_Groups_Oone__class_Oone( tc_Polynomial_Opoly( X ) ) ), Y ) =
% 0.90/1.54 c_Groups_Oone__class_Oone( X ) }.
% 0.90/1.54 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.90/1.54 U, T ) = c_Groups_Ominus__class_Ominus( X, Z, Y ), ! U = T, Z = Y }.
% 0.90/1.54 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.90/1.54 U, T ) = c_Groups_Ominus__class_Ominus( X, Z, Y ), ! Z = Y, U = T }.
% 0.90/1.54 { ! class_Groups_Oone( X ), ! c_Groups_Oone__class_Oone( X ) = Y, Y =
% 0.90/1.54 c_Groups_Oone__class_Oone( X ) }.
% 0.90/1.54 { ! class_Groups_Oone( X ), ! Y = c_Groups_Oone__class_Oone( X ),
% 0.90/1.54 c_Groups_Oone__class_Oone( X ) = Y }.
% 0.90/1.54 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.90/1.54 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ), Y ) }.
% 0.90/1.54 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( X ),
% 0.90/1.54 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) = X }.
% 0.90/1.54 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) =
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.90/1.54 ( tc_Nat_Onat, Y, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ), X ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__0( X ), c_Polynomial_Odegree( X,
% 0.90/1.54 c_Polynomial_Osynthetic__div( X, Z, Y ) ) = c_Groups_Ominus__class_Ominus
% 0.90/1.54 ( tc_Nat_Onat, c_Polynomial_Odegree( X, Z ), c_Groups_Oone__class_Oone(
% 0.90/1.54 tc_Nat_Onat ) ) }.
% 0.90/1.54 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.90/1.54 c_Groups_Oone__class_Oone( tc_Nat_Onat ), Y = c_Groups_Oone__class_Oone(
% 0.90/1.54 tc_Nat_Onat ) }.
% 0.90/1.54 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.90/1.54 c_Groups_Oone__class_Oone( tc_Nat_Onat ), X = c_Groups_Oone__class_Oone(
% 0.90/1.54 tc_Nat_Onat ) }.
% 0.90/1.54 { ! Y = c_Groups_Oone__class_Oone( tc_Nat_Onat ), ! X =
% 0.90/1.54 c_Groups_Oone__class_Oone( tc_Nat_Onat ), c_Groups_Otimes__class_Otimes(
% 0.90/1.54 tc_Nat_Onat, Y, X ) = c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.90/1.54 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, c_Groups_Oone__class_Oone
% 0.90/1.54 ( tc_Nat_Onat ) ) = X }.
% 0.90/1.54 { ! c_Groups_Oone__class_Oone( tc_Nat_Onat ) =
% 0.90/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ), Y =
% 0.90/1.54 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.90/1.54 { ! c_Groups_Oone__class_Oone( tc_Nat_Onat ) =
% 0.90/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ), X =
% 0.90/1.54 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.90/1.54 { ! Y = c_Groups_Oone__class_Oone( tc_Nat_Onat ), ! X =
% 0.90/1.54 c_Groups_Oone__class_Oone( tc_Nat_Onat ), c_Groups_Oone__class_Oone(
% 0.90/1.54 tc_Nat_Onat ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) }.
% 0.90/1.54 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Oone__class_Oone(
% 0.90/1.54 tc_Nat_Onat ), X ) = X }.
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Polynomial_Osmult( X,
% 0.90/1.54 c_Groups_Oone__class_Oone( X ), Y ) = Y }.
% 0.90/1.54 { c_Nat_Onat_Onat__size( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.54 ( tc_Nat_Onat ), X ), c_Nat_OSuc( c_Groups_Ominus__class_Ominus(
% 0.90/1.54 tc_Nat_Onat, X, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) = X }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.54 ( tc_Nat_Onat ), X ), X = c_Nat_OSuc( c_Groups_Ominus__class_Ominus(
% 0.90/1.54 tc_Nat_Onat, X, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) }.
% 0.90/1.54 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.90/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = X }.
% 0.90/1.54 { Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.90/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.90/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.90/1.54 tc_Nat_Onat, Y, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ), X ) ) }.
% 0.90/1.54 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.90/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.54 { Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.90/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.90/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.90/1.54 ( tc_Nat_Onat, Y, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ), X ) ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__1( X ), ! Y = c_Groups_Ozero__class_Ozero
% 0.90/1.54 ( tc_Nat_Onat ), hAPP( c_Polynomial_Ocoeff( X, c_Groups_Oone__class_Oone
% 0.90/1.54 ( tc_Polynomial_Opoly( X ) ) ), Y ) = c_Groups_Oone__class_Oone( X ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__1( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.90/1.54 tc_Nat_Onat ), hAPP( c_Polynomial_Ocoeff( X, c_Groups_Oone__class_Oone(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) ), Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.54 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X, Z
% 0.90/1.54 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.54 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X, Z
% 0.90/1.54 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.90/1.54 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, c_Groups_Ominus__class_Ominus( X, Z, Y ), c_Groups_Ozero__class_Ozero
% 0.90/1.54 ( X ) ) }.
% 0.90/1.54 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ominus__class_Ominus( X, Z, Y
% 0.90/1.54 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.90/1.54 , Z, Y ) }.
% 0.90/1.54 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.90/1.54 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, U, T
% 0.90/1.54 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.90/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, U, Z
% 0.90/1.54 ), c_Groups_Ominus__class_Ominus( X, T, Y ) ),
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, U, Z
% 0.90/1.54 ), Y ) ), c_Groups_Otimes__class_Otimes( X, Z,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( X, T, Y ) ) ) }.
% 0.90/1.54 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.90/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.90/1.54 , Y ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ) = Y }.
% 0.90/1.54 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, W, Z
% 0.90/1.54 ), U ), T ) = Y, c_Groups_Oplus__class_Oplus( X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.90/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.90/1.54 , Y ) }.
% 0.90/1.54 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.90/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.90/1.54 , Y ), T = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes
% 0.90/1.54 ( X, c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) }.
% 0.90/1.54 { ! class_Rings_Oring( X ), ! T = c_Groups_Oplus__class_Oplus( X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, Z, W
% 0.90/1.54 ), U ), Y ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.90/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.90/1.54 , Y ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__semidom( X ),
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.54 c_Groups_Oone__class_Oone( X ) ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__semidom( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.90/1.54 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.90/1.54 ( X, c_Groups_Oone__class_Oone( X ), c_Groups_Ozero__class_Ozero( X ) ) }
% 0.90/1.54 .
% 0.90/1.54 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.90/1.54 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.90/1.54 ( X, c_Groups_Oone__class_Oone( X ), Z ), c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, c_Groups_Oone__class_Oone( X ), c_Groups_Otimes__class_Otimes( X, Y, Z
% 0.90/1.54 ) ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.90/1.54 , Y, c_Groups_Oplus__class_Oplus( X, Y, c_Groups_Oone__class_Oone( X ) )
% 0.90/1.54 ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.90/1.54 , Y ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X
% 0.90/1.54 , c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ), Y ) }
% 0.90/1.54 .
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Z
% 0.90/1.54 , c_Groups_Otimes__class_Otimes( X, Y, Z ) ) =
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, Y,
% 0.90/1.54 c_Groups_Oone__class_Oone( X ) ), Z ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ), Y ) =
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.90/1.54 c_Groups_Oone__class_Oone( X ) ), Y ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.54 ( tc_Nat_Onat ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ),
% 0.90/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ),
% 0.90/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.54 tc_Nat_Onat ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.54 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ),
% 0.90/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.90/1.54 ( tc_Nat_Onat, Y, X ), Y ) }.
% 0.90/1.54 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.90/1.54 ( tc_Nat_Onat, Y, X ), c_Nat_OSuc( Y ) ) }.
% 0.90/1.54 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y,
% 0.90/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.54 { ! c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( X ), Y ) =
% 0.90/1.54 c_Nat_OSuc( c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 0.90/1.54 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) = Y }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ),
% 0.90/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.54 tc_Nat_Onat, Z, X ), Y ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.90/1.54 ( tc_Nat_Onat, Z, X ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z
% 0.90/1.54 , c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ),
% 0.90/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.90/1.54 ( tc_Nat_Onat, Y, Z ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z )
% 0.90/1.54 ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.90/1.54 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.90/1.54 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ),
% 0.90/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.90/1.54 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.90/1.54 ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.54 tc_Nat_Onat, X, Z ), Y ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), Z ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.90/1.54 tc_Nat_Onat, X, Y ), Z ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.90/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ), Y ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.54 tc_Nat_Onat, Z, X ), Y ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) = Z, X =
% 0.90/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), ! X =
% 0.90/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) = Z }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.90/1.54 tc_Nat_Onat, X, Y ), Y ) = X }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ),
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.54 tc_Nat_Onat, Z, X ), Y ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) = X }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.54 tc_Nat_Onat, X, Z ), Y ) ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X ),
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.90/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.90/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ),
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.54 tc_Nat_Onat, Z, Y ), X ) }.
% 0.90/1.54 { c_Groups_Oone__class_Oone( tc_Nat_Onat ) = c_Nat_OSuc(
% 0.90/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.90/1.54 { c_Nat_OSuc( X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.90/1.54 c_Groups_Oone__class_Oone( tc_Nat_Onat ), X ) }.
% 0.90/1.54 { c_Nat_OSuc( X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.90/1.54 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) }.
% 0.90/1.54 { ! Y = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ), X =
% 0.90/1.54 c_Groups_Oone__class_Oone( tc_Nat_Onat ), Y = c_Groups_Ozero__class_Ozero
% 0.90/1.54 ( tc_Nat_Onat ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Polynomial_Odegree( X,
% 0.90/1.54 c_Groups_Oone__class_Oone( tc_Polynomial_Opoly( X ) ) ) =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.54 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.54 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U
% 0.90/1.54 ), T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.90/1.54 , Z, U ), Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ) }.
% 0.90/1.54 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.54 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ),
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.90/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.90/1.54 , Y ) ) }.
% 0.90/1.54 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.54 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U
% 0.90/1.54 ), T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.90/1.54 , Z, U ), Y ) ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.90/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ) }.
% 0.90/1.54 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.54 , T, c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ),
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.90/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.90/1.54 , Y ) ) }.
% 0.90/1.54 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U )
% 0.90/1.54 , T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.54 Z, U ), Y ) ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ) }.
% 0.90/1.54 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ),
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.90/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.90/1.54 , Y ) ) }.
% 0.90/1.54 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U )
% 0.90/1.54 , T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.54 Z, U ), Y ) ), c_Orderings_Oord__class_Oless( X, T,
% 0.90/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ) }.
% 0.90/1.54 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X, T
% 0.90/1.54 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ),
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.90/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.90/1.54 , Y ) ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.90/1.54 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.90/1.54 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Oone__class_Oone
% 0.90/1.54 ( X ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ), Y ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.90/1.54 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.90/1.54 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Oone__class_Oone
% 0.90/1.54 ( X ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, Y, Z ), Y ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.90/1.54 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.54 c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ) ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.54 ( tc_Nat_Onat ), X ), c_Nat_OSuc( c_Groups_Ominus__class_Ominus(
% 0.90/1.54 tc_Nat_Onat, X, c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) )
% 0.90/1.54 ) ) = X }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.54 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ), X ) }.
% 0.90/1.54 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.90/1.54 , ! alpha10( X, Y, Z ) }.
% 0.90/1.54 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.90/1.54 , ! alpha33( X, Y, Z ) }.
% 0.90/1.54 { alpha10( X, Y, Z ), alpha33( X, Y, Z ), hBOOL( hAPP( Z,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) ) }.
% 0.90/1.54 { ! alpha33( X, Y, Z ), ! hBOOL( hAPP( Z, skol12( T, U, Z ) ) ) }.
% 0.90/1.54 { ! alpha33( X, Y, Z ), Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.90/1.54 skol12( X, Y, Z ) ) }.
% 0.90/1.54 { ! Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, T ), hBOOL( hAPP( Z, T
% 0.90/1.54 ) ), alpha33( X, Y, Z ) }.
% 0.90/1.54 { ! alpha10( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X )
% 0.90/1.54 }.
% 0.90/1.54 { ! alpha10( X, Y, Z ), ! hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero(
% 0.90/1.54 tc_Nat_Onat ) ) ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), hBOOL( hAPP( Z,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), alpha10( X, Y, Z ) }.
% 0.90/1.54 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.90/1.54 , alpha11( X, Y, Z ) }.
% 0.90/1.54 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.90/1.54 , alpha34( X, Y, Z ) }.
% 0.90/1.54 { ! alpha11( X, Y, Z ), ! alpha34( X, Y, Z ), hBOOL( hAPP( Z,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) ) }.
% 0.90/1.54 { ! alpha34( X, Y, Z ), ! Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.90/1.54 T ), hBOOL( hAPP( Z, T ) ) }.
% 0.90/1.54 { ! hBOOL( hAPP( Z, skol13( T, U, Z ) ) ), alpha34( X, Y, Z ) }.
% 0.90/1.54 { Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, skol13( X, Y, Z ) ),
% 0.90/1.54 alpha34( X, Y, Z ) }.
% 0.90/1.54 { ! alpha11( X, Y, Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X
% 0.90/1.54 ), hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) }.
% 0.90/1.54 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), alpha11( X, Y, Z ) }
% 0.90/1.54 .
% 0.90/1.54 { ! hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), alpha11
% 0.90/1.54 ( X, Y, Z ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc(
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ), Z ) =
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( X ),
% 0.90/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ) ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, c_Nat_OSuc(
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) ) =
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.54 tc_Nat_Onat, Z, Y ), c_Nat_OSuc( X ) ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.54 tc_Nat_Onat, X, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), Z ) ),
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.54 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.90/1.54 , Z ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.54 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.90/1.54 , Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.54 tc_Nat_Onat, X, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), Z ) ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.54 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), T ),
% 0.90/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.54 tc_Nat_Onat, Y, U ), Z ) ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.90/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.54 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.90/1.54 , Z ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.54 tc_Nat_Onat, X, U ), T ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), Z ),
% 0.90/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.54 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.90/1.54 = Z }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.54 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.90/1.54 = Z, c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), T ) =
% 0.90/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.54 tc_Nat_Onat, Y, U ), Z ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.54 tc_Nat_Onat, Y, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ) ),
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T,
% 0.90/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.54 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 0.90/1.54 ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T,
% 0.90/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.54 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 0.90/1.54 ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.54 tc_Nat_Onat, Y, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ) ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.54 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), T ),
% 0.90/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.54 tc_Nat_Onat, X, U ), Z ) ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.90/1.54 T, c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.90/1.54 ( tc_Nat_Onat, X, Y ), U ), Z ) ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.90/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.54 tc_Nat_Onat, Y, U ), T ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ), T =
% 0.90/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.54 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 0.90/1.54 }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), ! T =
% 0.90/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.54 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 0.90/1.54 , c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 0.90/1.54 ( tc_Nat_Onat, Y, U ), T ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__semiring__1( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, T, Y ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.90/1.54 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.90/1.54 X ), W ), ! c_Groups_Oplus__class_Oplus( X, U, W ) =
% 0.90/1.54 c_Groups_Oone__class_Oone( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Z )
% 0.90/1.54 , c_Groups_Otimes__class_Otimes( X, W, T ) ), Y ) }.
% 0.90/1.54 { ! class_Rings_Oring__1( X ), c_Groups_Ominus__class_Ominus( X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, Y, Y ), c_Groups_Oone__class_Oone( X )
% 0.90/1.54 ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.90/1.54 , c_Groups_Oone__class_Oone( X ) ), c_Groups_Ominus__class_Ominus( X, Y,
% 0.90/1.54 c_Groups_Oone__class_Oone( X ) ) ) }.
% 0.90/1.54 { ! class_Rings_Oring( X ), c_Groups_Ominus__class_Ominus( X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.90/1.54 X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, U, c_Groups_Ominus__class_Ominus( X, T
% 0.90/1.54 , Y ) ), c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus
% 0.90/1.54 ( X, U, Z ), Y ) ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__ring__1( X ), c_Groups_Oplus__class_Oplus(
% 0.90/1.54 tc_Polynomial_Opoly( X ), c_Groups_Otimes__class_Otimes(
% 0.90/1.54 tc_Polynomial_Opoly( X ), c_Polynomial_OpCons( X,
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, Z ), c_Polynomial_OpCons( X,
% 0.90/1.54 c_Groups_Oone__class_Oone( X ), c_Groups_Ozero__class_Ozero(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) ) ), c_Polynomial_Osynthetic__div( X, Y, Z ) )
% 0.90/1.54 , c_Polynomial_OpCons( X, hAPP( c_Polynomial_Opoly( X, Y ), Z ),
% 0.90/1.54 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ) ) = Y }.
% 0.90/1.54 { c_Nat_Osize__class_Osize( tc_Nat_Onat, c_Nat_OSuc( X ) ) =
% 0.90/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Nat_Osize__class_Osize(
% 0.90/1.54 tc_Nat_Onat, X ), c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.90/1.54 ) ) }.
% 0.90/1.54 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ouminus__class_Ouminus
% 0.90/1.54 ( X, Y ) ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.90/1.54 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ouminus__class_Ouminus
% 0.90/1.54 ( X, Z ) ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.90/1.54 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.90/1.54 , Z ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, Y ), Z ) }.
% 0.90/1.54 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.90/1.54 , Y ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) }.
% 0.90/1.54 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.90/1.54 , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.90/1.54 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, Y, Z ),
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.90/1.54 , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.90/1.54 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.90/1.54 , Y ), c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.90/1.54 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus(
% 0.90/1.54 tc_Polynomial_Opoly( X ), Y, c_Groups_Ozero__class_Ozero(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) ) = Y }.
% 0.90/1.54 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus(
% 0.90/1.54 tc_Polynomial_Opoly( X ), c_Groups_Ozero__class_Ozero(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ), Y ) = c_Groups_Ouminus__class_Ouminus(
% 0.90/1.54 tc_Polynomial_Opoly( X ), Y ) }.
% 0.90/1.54 { c_Nat_Osize__class_Osize( tc_Nat_Onat, X ) = X }.
% 0.90/1.54 { ! class_Groups_Oab__group__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) =
% 0.90/1.54 c_Groups_Ominus__class_Ominus( X, Y, Z ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__ring( X ), c_Polynomial_Osmult( X, T,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Polynomial_Opoly( X ), Z, Y ) ) =
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Polynomial_Opoly( X ),
% 0.90/1.54 c_Polynomial_Osmult( X, T, Z ), c_Polynomial_Osmult( X, T, Y ) ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__ring( X ), c_Polynomial_Osmult( X, Z,
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( tc_Polynomial_Opoly( X ), Y ) ) =
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( tc_Polynomial_Opoly( X ),
% 0.90/1.54 c_Polynomial_Osmult( X, Z, Y ) ) }.
% 0.90/1.54 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Oplus__class_Oplus( X, Z, Y )
% 0.90/1.54 = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ouminus__class_Ouminus
% 0.90/1.54 ( X, Z ) }.
% 0.90/1.54 { ! class_Groups_Ogroup__add( X ), ! Y = c_Groups_Ouminus__class_Ouminus( X
% 0.90/1.54 , Z ), c_Groups_Oplus__class_Oplus( X, Z, Y ) =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.54 { ! class_Groups_Ogroup__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, Y ) ) = Y }.
% 0.90/1.54 { ! class_Groups_Ogroup__add( X ), ! Z = c_Groups_Ouminus__class_Ouminus( X
% 0.90/1.54 , Y ), Y = c_Groups_Ouminus__class_Ouminus( X, Z ) }.
% 0.90/1.54 { ! class_Groups_Ogroup__add( X ), ! Y = c_Groups_Ouminus__class_Ouminus( X
% 0.90/1.54 , Z ), Z = c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.90/1.54 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ouminus__class_Ouminus( X, Z
% 0.90/1.54 ) = Y, c_Groups_Ouminus__class_Ouminus( X, Y ) = Z }.
% 0.90/1.54 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ouminus__class_Ouminus( X, Y
% 0.90/1.54 ) = Z, c_Groups_Ouminus__class_Ouminus( X, Z ) = Y }.
% 0.90/1.54 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ouminus__class_Ouminus( X, Z
% 0.90/1.54 ) = c_Groups_Ouminus__class_Ouminus( X, Y ), Z = Y }.
% 0.90/1.54 { ! class_Groups_Ogroup__add( X ), ! Z = Y, c_Groups_Ouminus__class_Ouminus
% 0.90/1.54 ( X, Z ) = c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.90/1.54 { ! class_Groups_Oab__group__add( X ), c_Groups_Ouminus__class_Ouminus(
% 0.90/1.54 tc_Polynomial_Opoly( X ), c_Polynomial_Omonom( X, Z, Y ) ) =
% 0.90/1.54 c_Polynomial_Omonom( X, c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__ring( X ), hAPP( c_Polynomial_Opoly( X,
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( tc_Polynomial_Opoly( X ), Z ) ), Y ) =
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, hAPP( c_Polynomial_Opoly( X, Z ), Y )
% 0.90/1.54 ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__ring( X ), c_Polynomial_Osmult( X,
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) =
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( tc_Polynomial_Opoly( X ),
% 0.90/1.54 c_Polynomial_Osmult( X, Z, Y ) ) }.
% 0.90/1.54 { ! class_Groups_Oab__group__add( X ), hAPP( c_Polynomial_Ocoeff( X,
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( tc_Polynomial_Opoly( X ), Z ) ), Y ) =
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, hAPP( c_Polynomial_Ocoeff( X, Z ), Y
% 0.90/1.54 ) ) }.
% 0.90/1.54 { ! class_Groups_Oab__group__add( X ), c_Groups_Ouminus__class_Ouminus(
% 0.90/1.54 tc_Polynomial_Opoly( X ), c_Polynomial_OpCons( X, Z, Y ) ) =
% 0.90/1.54 c_Polynomial_OpCons( X, c_Groups_Ouminus__class_Ouminus( X, Z ),
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( tc_Polynomial_Opoly( X ), Y ) ) }.
% 0.90/1.54 { ! class_Groups_Oab__group__add( X ), c_Groups_Ouminus__class_Ouminus(
% 0.90/1.54 tc_Polynomial_Opoly( X ), c_Polynomial_OpCons( X, Z, Y ) ) =
% 0.90/1.54 c_Polynomial_OpCons( X, c_Groups_Ouminus__class_Ouminus( X, Z ),
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( tc_Polynomial_Opoly( X ), Y ) ) }.
% 0.90/1.54 { ! class_Groups_Oab__group__add( X ), c_Polynomial_Odegree( X,
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( tc_Polynomial_Opoly( X ), Y ) ) =
% 0.90/1.54 c_Polynomial_Odegree( X, Y ) }.
% 0.90/1.54 { ! class_Groups_Oab__group__add( X ), c_Groups_Ouminus__class_Ouminus(
% 0.90/1.54 tc_Polynomial_Opoly( X ), c_Groups_Ozero__class_Ozero(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) ) = c_Groups_Ozero__class_Ozero(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, Z ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.54 Z, Y ) ) = Y }.
% 0.90/1.54 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X, Z,
% 0.90/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Ouminus__class_Ouminus( X, Z ),
% 0.90/1.54 Y ) ) = Y }.
% 0.90/1.54 { ! class_Groups_Ogroup__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.90/1.54 c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X
% 0.90/1.54 , c_Groups_Ouminus__class_Ouminus( X, Y ),
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.90/1.54 { ! class_Groups_Oab__group__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.90/1.54 c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X
% 0.90/1.54 , c_Groups_Ouminus__class_Ouminus( X, Z ),
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.90/1.54 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.90/1.54 , Y ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes
% 0.90/1.54 ( X, Z, Y ) ) }.
% 0.90/1.54 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.90/1.54 , Y ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes
% 0.90/1.54 ( X, Z, Y ) ) }.
% 0.90/1.54 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.90/1.54 Y ) ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes
% 0.90/1.54 ( X, Z, Y ) ) }.
% 0.90/1.54 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.90/1.54 Y ) ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes
% 0.90/1.54 ( X, Z, Y ) ) }.
% 0.90/1.54 { ! class_Rings_Oring( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.90/1.54 Y ) ) }.
% 0.90/1.54 { ! class_Rings_Oring( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.90/1.54 , Y ) }.
% 0.90/1.54 { ! class_Rings_Oring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) =
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.90/1.54 Y ) ) }.
% 0.90/1.54 { ! class_Rings_Oring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, Z ), c_Groups_Ouminus__class_Ouminus
% 0.90/1.54 ( X, Y ) ) = c_Groups_Otimes__class_Otimes( X, Z, Y ) }.
% 0.90/1.54 { ! class_Rings_Oidom( X ), ! c_Groups_Otimes__class_Otimes( X, Z, Z ) =
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, Y, Y ), Z = Y, Z =
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.90/1.54 { ! class_Rings_Oidom( X ), ! Z = Y, c_Groups_Otimes__class_Otimes( X, Z, Z
% 0.90/1.54 ) = c_Groups_Otimes__class_Otimes( X, Y, Y ) }.
% 0.90/1.54 { ! class_Rings_Oidom( X ), ! Z = c_Groups_Ouminus__class_Ouminus( X, Y ),
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, Z, Z ) = c_Groups_Otimes__class_Otimes
% 0.90/1.54 ( X, Y, Y ) }.
% 0.90/1.54 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.90/1.54 , c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.90/1.54 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, Y, Z ), c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, c_Groups_Ouminus__class_Ouminus( X, Z ),
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.90/1.54 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.90/1.54 , Y ), c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus
% 0.90/1.54 ( X, Y ), Z ) }.
% 0.90/1.54 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.90/1.54 , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus
% 0.90/1.54 ( X, Z ), Y ) }.
% 0.90/1.54 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.90/1.54 Y ) ), c_Orderings_Oord__class_Oless( X, Y,
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.90/1.54 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ouminus__class_Ouminus( X,
% 0.90/1.54 Z ) ), c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.90/1.54 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, Y ) = Y, Y =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.54 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.90/1.54 = Y }.
% 0.90/1.54 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ouminus__class_Ouminus( X, Y
% 0.90/1.54 ) = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X
% 0.90/1.54 ) }.
% 0.90/1.54 { ! class_Groups_Ogroup__add( X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.90/1.54 ) }.
% 0.90/1.54 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, Y ), Y = c_Groups_Ozero__class_Ozero
% 0.90/1.54 ( X ) }.
% 0.90/1.54 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ouminus__class_Ouminus( X
% 0.90/1.54 , Y ) }.
% 0.90/1.54 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ozero__class_Ozero( X ) =
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, Y ), c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 = Y }.
% 0.90/1.54 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ozero__class_Ozero( X ) = Y,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) = c_Groups_Ouminus__class_Ouminus( X, Y
% 0.90/1.54 ) }.
% 0.90/1.54 { ! class_Groups_Ogroup__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.90/1.54 ( tc_Polynomial_Opoly( X ), Z, Y ), Z = Y, c_Polynomial_Opos__poly( X,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Polynomial_Opoly( X ), Y, Z ) ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ), ! Z = Y,
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( tc_Polynomial_Opoly( X ), Z, Y ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ), ! c_Polynomial_Opos__poly( X,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Polynomial_Opoly( X ), Y, Z ) ),
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( tc_Polynomial_Opoly( X ), Z, Y ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.54 tc_Polynomial_Opoly( X ), Z, Y ), c_Polynomial_Opos__poly( X,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Polynomial_Opoly( X ), Y, Z ) ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ), ! c_Polynomial_Opos__poly( X,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Polynomial_Opoly( X ), Y, Z ) ),
% 0.90/1.54 c_Orderings_Oord__class_Oless( tc_Polynomial_Opoly( X ), Z, Y ) }.
% 0.90/1.54 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.90/1.54 , Y ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.90/1.54 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.54 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus
% 0.90/1.54 ( X, Y ), Y ) }.
% 0.90/1.54 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.90/1.54 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.54 ) }.
% 0.90/1.54 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.54 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus
% 0.90/1.54 ( X, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.54 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ouminus__class_Ouminus
% 0.90/1.54 ( X, Y ) ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.54 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.90/1.54 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 ) }.
% 0.90/1.54 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.90/1.54 ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.90/1.54 , Y, c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ) }
% 0.90/1.54 .
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.90/1.54 , Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.90/1.54 , Y, c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.90/1.54 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.90/1.54 ( X, Y, c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.54 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.90/1.54 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.90/1.54 , c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.90/1.54 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.90/1.54 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.54 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.90/1.54 , Y ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 , Y ) }.
% 0.90/1.54 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.90/1.54 , Y ) }.
% 0.90/1.54 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Oplus__class_Oplus( X, Z, Y )
% 0.90/1.54 = c_Groups_Ozero__class_Ozero( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.90/1.54 Z ) = Y }.
% 0.90/1.54 { ! class_Groups_Oab__group__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, Y ), Y ) =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.54 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, Y ), Y ) =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.54 { ! class_Groups_Ogroup__add( X ), ! Z = c_Groups_Ouminus__class_Ouminus( X
% 0.90/1.54 , Y ), c_Groups_Oplus__class_Oplus( X, Z, Y ) =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.54 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Oplus__class_Oplus( X, Z, Y )
% 0.90/1.54 = c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ouminus__class_Ouminus
% 0.90/1.54 ( X, Y ) }.
% 0.90/1.54 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X, Y,
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, Y ) ) = c_Groups_Ozero__class_Ozero(
% 0.90/1.54 X ) }.
% 0.90/1.54 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ouminus__class_Ouminus(
% 0.90/1.54 X, Y ) }.
% 0.90/1.54 { ! class_Rings_Oring__1__no__zero__divisors( X ), !
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, Y, Y ) = c_Groups_Oone__class_Oone( X )
% 0.90/1.54 , Y = c_Groups_Oone__class_Oone( X ), Y = c_Groups_Ouminus__class_Ouminus
% 0.90/1.54 ( X, c_Groups_Oone__class_Oone( X ) ) }.
% 0.90/1.54 { ! class_Rings_Oring__1__no__zero__divisors( X ), ! Y =
% 0.90/1.54 c_Groups_Oone__class_Oone( X ), c_Groups_Otimes__class_Otimes( X, Y, Y )
% 0.90/1.54 = c_Groups_Oone__class_Oone( X ) }.
% 0.90/1.54 { ! class_Rings_Oring__1__no__zero__divisors( X ), ! Y =
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, c_Groups_Oone__class_Oone( X ) ),
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, Y, Y ) = c_Groups_Oone__class_Oone( X )
% 0.90/1.54 }.
% 0.90/1.54 { ! class_Rings_Ocomm__ring__1( X ), c_Groups_Ouminus__class_Ouminus( X, Y
% 0.90/1.54 ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X
% 0.90/1.54 , c_Groups_Oone__class_Oone( X ) ), Y ) }.
% 0.90/1.54 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Z,
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, Y ) ) = c_Groups_Oplus__class_Oplus(
% 0.90/1.54 X, Z, Y ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__ring__1( X ), c_Groups_Ominus__class_Ominus( X, Z, Y
% 0.90/1.54 ) = c_Groups_Oplus__class_Oplus( X, Z, c_Groups_Ouminus__class_Ouminus(
% 0.90/1.54 X, Y ) ) }.
% 0.90/1.54 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus( X, Z
% 0.90/1.54 , Y ) = c_Groups_Oplus__class_Oplus( X, Z,
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.90/1.54 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Z, Y )
% 0.90/1.54 = c_Groups_Oplus__class_Oplus( X, Z, c_Groups_Ouminus__class_Ouminus( X
% 0.90/1.54 , Y ) ) }.
% 0.90/1.54 { ! class_Groups_Oab__group__add( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.54 tc_Nat_Onat, c_Polynomial_Odegree( X, Z ), Y ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Polynomial_Odegree( X, T )
% 0.90/1.54 , Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Polynomial_Odegree(
% 0.90/1.54 X, c_Groups_Ominus__class_Ominus( tc_Polynomial_Opoly( X ), Z, T ) ), Y )
% 0.90/1.54 }.
% 0.90/1.54 { ! class_Groups_Oab__group__add( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.90/1.54 ( tc_Nat_Onat, c_Polynomial_Odegree( X, Z ), Y ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Polynomial_Odegree( X,
% 0.90/1.54 T ), Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.54 c_Polynomial_Odegree( X, c_Groups_Ominus__class_Ominus(
% 0.90/1.54 tc_Polynomial_Opoly( X ), Z, T ) ), Y ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ), c_Polynomial_Opos__poly( X, Y ),
% 0.90/1.54 c_Polynomial_Opos__poly( X, c_Groups_Ouminus__class_Ouminus(
% 0.90/1.54 tc_Polynomial_Opoly( X ), Y ) ) }.
% 0.90/1.54 { c_Nat_Osize__class_Osize( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.54 tc_Nat_Onat ) ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), ! c_Polynomial_Opdivmod__rel( X, U, T, Z, Y )
% 0.90/1.54 , T = c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), ! V0 =
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, hAPP( c_Polynomial_Ocoeff( X,
% 0.90/1.54 c_Polynomial_OpCons( X, W, Y ) ), c_Polynomial_Odegree( X, T ) ), hAPP(
% 0.90/1.54 c_Polynomial_Ocoeff( X, T ), c_Polynomial_Odegree( X, T ) ) ),
% 0.90/1.54 c_Polynomial_Opdivmod__rel( X, c_Polynomial_OpCons( X, W, U ), T,
% 0.90/1.54 c_Polynomial_OpCons( X, V0, Z ), c_Groups_Ominus__class_Ominus(
% 0.90/1.54 tc_Polynomial_Opoly( X ), c_Polynomial_OpCons( X, W, Y ),
% 0.90/1.54 c_Polynomial_Osmult( X, V0, T ) ) ) }.
% 0.90/1.54 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, Z ), c_Groups_Ouminus__class_Ouminus
% 0.90/1.54 ( X, Y ) ) = c_Groups_Ouminus__class_Ouminus( X,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) }.
% 0.90/1.54 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.90/1.54 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.90/1.54 , Y ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Ominus__class_Ominus(
% 0.90/1.54 X, U, Z ), c_Groups_Ominus__class_Ominus( X, T, Y ) ) }.
% 0.90/1.54 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( X, T, Z ), Y ) =
% 0.90/1.54 c_Groups_Ominus__class_Ominus( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.90/1.54 Y ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.90/1.54 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X, Y
% 0.90/1.54 , c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.90/1.54 { ! class_RealVector_Oreal__normed__field( X ),
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X, T,
% 0.90/1.54 Z ), Y ) = c_Groups_Ominus__class_Ominus( X,
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, T, Y ),
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.90/1.54 { ! class_RealVector_Oreal__normed__field( X ),
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X, Z
% 0.90/1.54 ), Y ) = c_Groups_Ouminus__class_Ouminus( X,
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.90/1.54 { ! class_Rings_Odivision__ring( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X, Z
% 0.90/1.54 ), Y ) }.
% 0.90/1.54 { ! class_Rings_Odivision__ring__inverse__zero( X ),
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.90/1.54 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.54 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 }.
% 0.90/1.54 { ! class_RealVector_Oreal__normed__field( X ),
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.90/1.54 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.54 { ! class_Rings_Odivision__ring( X ), c_Groups_Otimes__class_Otimes( X, T,
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.90/1.54 Z ), Y ) }.
% 0.90/1.54 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.90/1.54 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.90/1.54 ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ),
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.90/1.54 { ! class_RealVector_Oreal__normed__field( X ),
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, T, Z
% 0.90/1.54 ), Y ) = c_Groups_Oplus__class_Oplus( X, c_Rings_Oinverse__class_Odivide
% 0.90/1.54 ( X, T, Y ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.90/1.54 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 , ! c_Groups_Otimes__class_Otimes( X, T, Y ) = Z, T =
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.90/1.54 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 , ! T = c_Groups_Otimes__class_Otimes( X, Z, Y ),
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z }.
% 0.90/1.54 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 , ! c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z, T =
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ) }.
% 0.90/1.54 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 , ! T = c_Groups_Otimes__class_Otimes( X, Z, Y ),
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z }.
% 0.90/1.54 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 , ! T = c_Rings_Oinverse__class_Odivide( X, Z, Y ),
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, T, Y ) = Z }.
% 0.90/1.54 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 , ! c_Groups_Otimes__class_Otimes( X, T, Y ) = Z, T =
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.90/1.54 { ! class_RealVector_Oreal__field( X ), c_Rings_Oinverse__class_Odivide( X
% 0.90/1.54 , c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, W,
% 0.90/1.54 U ), c_Groups_Otimes__class_Otimes( X, T, Z ) ), Y ) =
% 0.90/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W,
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X, U,
% 0.90/1.54 Z ), Y ) ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X, W,
% 0.90/1.54 T ), Y ), Z ) ) }.
% 0.90/1.54 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 , ! c_Rings_Oinverse__class_Odivide( X, Z, Y ) =
% 0.90/1.54 c_Groups_Oone__class_Oone( X ), Z = Y }.
% 0.90/1.54 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 , ! Z = Y, c_Rings_Oinverse__class_Odivide( X, Z, Y ) =
% 0.90/1.54 c_Groups_Oone__class_Oone( X ) }.
% 0.90/1.54 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 , c_Rings_Oinverse__class_Odivide( X, Y, Y ) = c_Groups_Oone__class_Oone
% 0.90/1.54 ( X ) }.
% 0.90/1.54 { ! class_Rings_Odivision__ring__inverse__zero( X ), ! Y =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.90/1.54 Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.54 { ! class_Rings_Odivision__ring__inverse__zero( X ), Y =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.90/1.54 Y ) = c_Groups_Oone__class_Oone( X ) }.
% 0.90/1.54 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 , c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X
% 0.90/1.54 , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) =
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.90/1.54 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 , c_Groups_Ouminus__class_Ouminus( X, c_Rings_Oinverse__class_Odivide( X
% 0.90/1.54 , Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X, Z,
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 , c_Groups_Otimes__class_Otimes( X, Z, Y ) ),
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.90/1.54 , T, Z ), c_Rings_Oinverse__class_Odivide( X, T, Y ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.90/1.54 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 , c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.90/1.54 , T, Y ), c_Rings_Oinverse__class_Odivide( X, T, Z ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.90/1.54 , T, Y ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ), T ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.90/1.54 , Y ), T ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) }.
% 0.90/1.54 { ! class_Fields_Ofield__inverse__zero( X ), c_Groups_Otimes__class_Otimes
% 0.90/1.54 ( X, c_Rings_Oinverse__class_Odivide( X, U, T ),
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, c_Groups_Otimes__class_Otimes( X, U,
% 0.90/1.54 Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.90/1.54 { ! class_Fields_Ofield__inverse__zero( X ),
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.90/1.54 , Y ) ) = c_Rings_Oinverse__class_Odivide( X, Z,
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.90/1.54 { ! class_Fields_Ofield__inverse__zero( X ),
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X, Z
% 0.90/1.54 ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) =
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.90/1.54 ( X, Y, T ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.90/1.54 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.90/1.54 ( X, Z, T ), c_Rings_Oinverse__class_Odivide( X, Y, T ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.90/1.54 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha12( X, Y, Z ), alpha35
% 0.90/1.54 ( X, Y, Z ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha12( X, Y, Z
% 0.90/1.54 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.90/1.54 ( X, Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha35( X, Y, Z
% 0.90/1.54 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.90/1.54 ( X, Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.54 { ! alpha35( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.54 { ! alpha35( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.90/1.54 ) ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.90/1.54 ( X ), Y ), alpha35( X, Y, Z ) }.
% 0.90/1.54 { ! alpha12( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.90/1.54 { ! alpha12( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 , Z ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) ), alpha12( X, Y, Z ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ), alpha13( X, Y, Z ), alpha36
% 0.90/1.54 ( X, Y, Z ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha13( X, Y, Z
% 0.90/1.54 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.90/1.54 ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha36( X, Y, Z
% 0.90/1.54 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.90/1.54 ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.90/1.54 { ! alpha36( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.54 { ! alpha36( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.90/1.54 ) ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) ), alpha36( X, Y, Z ) }.
% 0.90/1.54 { ! alpha13( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.90/1.54 { ! alpha13( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 , Z ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), Y ), alpha13( X, Y, Z ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ), alpha14( X, Y, Z ), alpha37
% 0.90/1.54 ( X, Y, Z ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha14( X, Y, Z
% 0.90/1.54 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha37( X, Y, Z
% 0.90/1.54 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.90/1.54 { ! alpha37( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.54 { ! alpha37( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.90/1.54 , ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 ), alpha37( X, Y, Z ) }.
% 0.90/1.54 { ! alpha14( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.90/1.54 { ! alpha14( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.90/1.54 , ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.54 ), alpha14( X, Y, Z ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Z,
% 0.90/1.54 Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha15( X, Y, Z ), alpha38( X,
% 0.90/1.54 Y, Z ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha15( X, Y, Z
% 0.90/1.54 ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X
% 0.90/1.54 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha38( X, Y, Z
% 0.90/1.54 ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X
% 0.90/1.54 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.54 { ! alpha38( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.54 { ! alpha38( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.90/1.54 , ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.54 ), alpha38( X, Y, Z ) }.
% 0.90/1.54 { ! alpha15( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.90/1.54 { ! alpha15( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.90/1.54 , ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 ), alpha15( X, Y, Z ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.90/1.54 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless
% 0.90/1.54 ( X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X
% 0.90/1.54 , Y, Z ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.90/1.54 ( X, Z, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.90/1.54 ( X, c_Rings_Oinverse__class_Odivide( X, Y, Z ),
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.90/1.54 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless
% 0.90/1.54 ( X, c_Rings_Oinverse__class_Odivide( X, Y, Z ),
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.90/1.54 ( X, Z, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.90/1.54 ( X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X
% 0.90/1.54 , Y, Z ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, Z, T ),
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, Y, T ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, Y, T ),
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), ! c_Rings_Oinverse__class_Odivide( X, U
% 0.90/1.54 , Y ) = c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, U, Z ) = c_Groups_Otimes__class_Otimes
% 0.90/1.54 ( X, T, Y ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), ! c_Groups_Otimes__class_Otimes( X, U,
% 0.90/1.54 Z ) = c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, U, Y ) =
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.90/1.54 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, Y, T ), c_Groups_Otimes__class_Otimes(
% 0.90/1.54 X, Y, Z ) ) = c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.90/1.54 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, T, Y ), c_Groups_Otimes__class_Otimes(
% 0.90/1.54 X, Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.90/1.54 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y, alpha39( X, Y, Z, T ) }.
% 0.90/1.54 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y, alpha16( X, Y, Z ) }.
% 0.90/1.54 { ! class_Fields_Ofield__inverse__zero( X ), ! alpha39( X, Y, Z, T ), !
% 0.90/1.54 alpha16( X, Y, Z ), c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y }.
% 0.90/1.54 { ! alpha39( X, Y, Z, T ), Z = c_Groups_Ozero__class_Ozero( X ), T =
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, Y, Z ) }.
% 0.90/1.54 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha39( X, Y, Z, T ) }.
% 0.90/1.54 { ! T = c_Groups_Otimes__class_Otimes( X, Y, Z ), alpha39( X, Y, Z, T ) }.
% 0.90/1.54 { ! alpha16( X, Y, Z ), ! Z = c_Groups_Ozero__class_Ozero( X ), Y =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.54 { Z = c_Groups_Ozero__class_Ozero( X ), alpha16( X, Y, Z ) }.
% 0.90/1.54 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha16( X, Y, Z ) }.
% 0.90/1.54 { ! class_Fields_Ofield__inverse__zero( X ), ! T =
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha40( X, Y, Z, T ) }.
% 0.90/1.54 { ! class_Fields_Ofield__inverse__zero( X ), ! T =
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha17( X, Y, T ) }.
% 0.90/1.54 { ! class_Fields_Ofield__inverse__zero( X ), ! alpha40( X, Y, Z, T ), !
% 0.90/1.54 alpha17( X, Y, T ), T = c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.90/1.54 { ! alpha40( X, Y, Z, T ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, T, Y ) = Z }.
% 0.90/1.54 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha40( X, Y, Z, T ) }.
% 0.90/1.54 { ! c_Groups_Otimes__class_Otimes( X, T, Y ) = Z, alpha40( X, Y, Z, T ) }.
% 0.90/1.54 { ! alpha17( X, Y, Z ), ! Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.54 { Y = c_Groups_Ozero__class_Ozero( X ), alpha17( X, Y, Z ) }.
% 0.90/1.54 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha17( X, Y, Z ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.90/1.54 ) ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.90/1.54 X ), c_Rings_Oinverse__class_Odivide( X, Y, Z ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 , Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 0.90/1.54 X ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.54 ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.90/1.54 ! c_Orderings_Oord__class_Oless__eq( X, T, U ),
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.90/1.54 , Y, U ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.54 ), ! c_Orderings_Oord__class_Oless( X, Y, Z ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.90/1.54 ! c_Orderings_Oord__class_Oless__eq( X, T, U ),
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Y,
% 0.90/1.54 U ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, Y, Z ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.90/1.54 ! c_Orderings_Oord__class_Oless( X, T, U ), c_Orderings_Oord__class_Oless
% 0.90/1.54 ( X, c_Rings_Oinverse__class_Odivide( X, Y, U ),
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.54 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.90/1.54 ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 0.90/1.54 X ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.54 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 , Z ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.90/1.54 ( X ), c_Rings_Oinverse__class_Odivide( X, Y, Z ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.90/1.54 Z, Y ) ), alpha41( X, Y, Z, T ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.90/1.54 Z, Y ) ), alpha49( X, Y, Z, T ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha41( X, Y, Z
% 0.90/1.54 , T ), ! alpha49( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T,
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.90/1.54 { ! alpha49( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), Y ), alpha54( X, Y, Z, T ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.90/1.54 , alpha49( X, Y, Z, T ) }.
% 0.90/1.54 { ! alpha54( X, Y, Z, T ), alpha49( X, Y, Z, T ) }.
% 0.90/1.54 { ! alpha54( X, Y, Z, T ), alpha59( X, Y, Z, T ) }.
% 0.90/1.54 { ! alpha54( X, Y, Z, T ), alpha18( X, Y, T ) }.
% 0.90/1.54 { ! alpha59( X, Y, Z, T ), ! alpha18( X, Y, T ), alpha54( X, Y, Z, T ) }.
% 0.90/1.54 { ! alpha59( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.90/1.54 { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.90/1.54 alpha59( X, Y, Z, T ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.54 T, Y ) ), alpha59( X, Y, Z, T ) }.
% 0.90/1.54 { ! alpha41( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, T, Y ), Z ) }.
% 0.90/1.54 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.90/1.54 alpha41( X, Y, Z, T ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.90/1.54 Y ), Z ), alpha41( X, Y, Z, T ) }.
% 0.90/1.54 { ! alpha18( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.90/1.54 , alpha18( X, Y, Z ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.90/1.54 , alpha18( X, Y, Z ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.90/1.54 Z ), Y ), alpha42( X, Y, Z, T ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.90/1.54 Z ), Y ), alpha50( X, Y, Z, T ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha42( X, Y, Z
% 0.90/1.54 , T ), ! alpha50( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, T, Z ), Y ) }.
% 0.90/1.54 { ! alpha50( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), Z ), alpha55( X, Y, Z, T ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.90/1.54 , alpha50( X, Y, Z, T ) }.
% 0.90/1.54 { ! alpha55( X, Y, Z, T ), alpha50( X, Y, Z, T ) }.
% 0.90/1.54 { ! alpha55( X, Y, Z, T ), alpha60( X, Y, Z, T ) }.
% 0.90/1.54 { ! alpha55( X, Y, Z, T ), alpha19( X, Y, Z ) }.
% 0.90/1.54 { ! alpha60( X, Y, Z, T ), ! alpha19( X, Y, Z ), alpha55( X, Y, Z, T ) }.
% 0.90/1.54 { ! alpha60( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, Y, Z ), T ) }.
% 0.90/1.54 { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 0.90/1.54 alpha60( X, Y, Z, T ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.90/1.54 Z ), T ), alpha60( X, Y, Z, T ) }.
% 0.90/1.54 { ! alpha42( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.54 T, c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.90/1.54 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.90/1.54 alpha42( X, Y, Z, T ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.54 Y, Z ) ), alpha42( X, Y, Z, T ) }.
% 0.90/1.54 { ! alpha19( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.90/1.54 , alpha19( X, Y, Z ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.90/1.54 , alpha19( X, Y, Z ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.90/1.54 ( X, T, c_Rings_Oinverse__class_Odivide( X, Z, Y ) ),
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Y
% 0.90/1.54 ), Z ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.90/1.54 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ), Z ),
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.90/1.54 Z, Y ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.90/1.54 ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ),
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.90/1.54 , Y ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.90/1.54 ( X, T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ),
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.90/1.54 Y ), Z ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.90/1.54 ( X, T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ),
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.90/1.54 Y ), Z ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.90/1.54 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ), Z ),
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.90/1.54 Z, Y ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.90/1.54 ( X, T, c_Rings_Oinverse__class_Odivide( X, Z, Y ) ),
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X, T
% 0.90/1.54 , Y ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.90/1.54 ( X, Z, c_Groups_Otimes__class_Otimes( X, T, Y ) ),
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.90/1.54 Z, Y ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.90/1.54 ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ),
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.90/1.54 ), T ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.90/1.54 ( X, c_Groups_Otimes__class_Otimes( X, Z, Y ), T ),
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.90/1.54 Y ), Z ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), T ), ! c_Orderings_Oord__class_Oless( X
% 0.90/1.54 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.90/1.54 Z ) ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide
% 0.90/1.54 ( X, T, Y ), c_Rings_Oinverse__class_Odivide( X, T, Z ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.90/1.54 ) ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide(
% 0.90/1.54 X, T, Z ), c_Rings_Oinverse__class_Odivide( X, T, Y ) ) }.
% 0.90/1.54 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, T,
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, T, Y ) ), Y ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.54 c_Groups_Oplus__class_Oplus( X, T, c_Rings_Oinverse__class_Odivide( X, Z
% 0.90/1.54 , Y ) ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus
% 0.90/1.54 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ), Z ), Y ) }.
% 0.90/1.54 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) =
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), Y ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.54 c_Groups_Oplus__class_Oplus( X, c_Rings_Oinverse__class_Odivide( X, T, Y
% 0.90/1.54 ), Z ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus
% 0.90/1.54 ( X, T, c_Groups_Otimes__class_Otimes( X, Y, Z ) ), Y ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, U, Y ),
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, T, Z ) ) =
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.90/1.54 X, T, Y ) ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.54 c_Groups_Ominus__class_Ominus( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.90/1.54 Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, Y, T
% 0.90/1.54 ), Z ), Y ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.54 c_Groups_Ominus__class_Ominus( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.90/1.54 Y ), Z ) = c_Rings_Oinverse__class_Odivide( X,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( X, T, c_Groups_Otimes__class_Otimes( X, Y
% 0.90/1.54 , Z ) ), Y ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ominus__class_Ominus( X,
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, U, Y ),
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, T, Z ) ) =
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.90/1.54 X, T, Y ) ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, Z, Y ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.90/1.54 ), c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.90/1.54 c_Groups_Oone__class_Oone( X ) ) ), Y ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, Z, Y ), c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.90/1.54 ), c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.90/1.54 c_Groups_Oone__class_Oone( X ) ) ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.90/1.54 ( X, Z, Y ) ), alpha43( X, Y, Z, T ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.90/1.54 ( X, Z, Y ) ), alpha51( X, Y, Z, T ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha43( X, Y, Z
% 0.90/1.54 , T ), ! alpha51( X, Y, Z, T ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.90/1.54 { ! alpha51( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), Y ), alpha56( X, Y, Z, T ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.90/1.54 , alpha51( X, Y, Z, T ) }.
% 0.90/1.54 { ! alpha56( X, Y, Z, T ), alpha51( X, Y, Z, T ) }.
% 0.90/1.54 { ! alpha56( X, Y, Z, T ), alpha61( X, Y, Z, T ) }.
% 0.90/1.54 { ! alpha56( X, Y, Z, T ), alpha20( X, Y, T ) }.
% 0.90/1.54 { ! alpha61( X, Y, Z, T ), ! alpha20( X, Y, T ), alpha56( X, Y, Z, T ) }.
% 0.90/1.54 { ! alpha61( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.54 , Z, c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.90/1.54 { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.90/1.54 alpha61( X, Y, Z, T ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Otimes__class_Otimes
% 0.90/1.54 ( X, T, Y ) ), alpha61( X, Y, Z, T ) }.
% 0.90/1.54 { ! alpha43( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless__eq
% 0.90/1.54 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ), Z ) }.
% 0.90/1.54 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.90/1.54 alpha43( X, Y, Z, T ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.90/1.54 , T, Y ), Z ), alpha43( X, Y, Z, T ) }.
% 0.90/1.54 { ! alpha20( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.54 , Z, c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.90/1.54 , alpha20( X, Y, Z ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.90/1.54 ) ), alpha20( X, Y, Z ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.90/1.54 , T, Z ), Y ), alpha44( X, Y, Z, T ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.90/1.54 , T, Z ), Y ), alpha52( X, Y, Z, T ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha44( X, Y, Z
% 0.90/1.54 , T ), ! alpha52( X, Y, Z, T ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, T, Z ), Y ) }.
% 0.90/1.54 { ! alpha52( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), Z ), alpha57( X, Y, Z, T ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.90/1.54 , alpha52( X, Y, Z, T ) }.
% 0.90/1.54 { ! alpha57( X, Y, Z, T ), alpha52( X, Y, Z, T ) }.
% 0.90/1.54 { ! alpha57( X, Y, Z, T ), alpha62( X, Y, Z, T ) }.
% 0.90/1.54 { ! alpha57( X, Y, Z, T ), alpha21( X, Y, Z ) }.
% 0.90/1.54 { ! alpha62( X, Y, Z, T ), ! alpha21( X, Y, Z ), alpha57( X, Y, Z, T ) }.
% 0.90/1.54 { ! alpha62( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.54 , c_Groups_Otimes__class_Otimes( X, Y, Z ), T ) }.
% 0.90/1.54 { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 0.90/1.54 alpha62( X, Y, Z, T ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.90/1.54 , Y, Z ), T ), alpha62( X, Y, Z, T ) }.
% 0.90/1.54 { ! alpha44( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless__eq
% 0.90/1.54 ( X, T, c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.90/1.54 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.90/1.54 alpha44( X, Y, Z, T ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes
% 0.90/1.54 ( X, Y, Z ) ), alpha44( X, Y, Z, T ) }.
% 0.90/1.54 { ! alpha21( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.90/1.54 , c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.90/1.54 , alpha21( X, Y, Z ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 , Y ), alpha21( X, Y, Z ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.90/1.54 ( X, Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, T, Y ), Z ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 0.90/1.54 , Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.90/1.54 , T, Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes( X
% 0.90/1.54 , Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes( X
% 0.90/1.54 , Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 0.90/1.54 , Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.90/1.54 ( X, Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Otimes__class_Otimes( X
% 0.90/1.54 , T, Y ) ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ), c_Divides_Odiv__class_Omod(
% 0.90/1.54 tc_Polynomial_Opoly( X ), c_Polynomial_OpCons( X, T, Z ), Y ) =
% 0.90/1.54 c_Groups_Ominus__class_Ominus( tc_Polynomial_Opoly( X ),
% 0.90/1.54 c_Polynomial_OpCons( X, T, c_Divides_Odiv__class_Omod(
% 0.90/1.54 tc_Polynomial_Opoly( X ), Z, Y ) ), c_Polynomial_Osmult( X,
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, hAPP( c_Polynomial_Ocoeff( X,
% 0.90/1.54 c_Polynomial_OpCons( X, T, c_Divides_Odiv__class_Omod(
% 0.90/1.54 tc_Polynomial_Opoly( X ), Z, Y ) ) ), c_Polynomial_Odegree( X, Y ) ),
% 0.90/1.54 hAPP( c_Polynomial_Ocoeff( X, Y ), c_Polynomial_Odegree( X, Y ) ) ), Y )
% 0.90/1.54 ) }.
% 0.90/1.54 { ! class_Lattices_Oboolean__algebra( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.90/1.54 , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.90/1.54 { ! class_Lattices_Oboolean__algebra( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, Y, Z ),
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.90/1.54 , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.90/1.54 { ! class_Lattices_Oboolean__algebra( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.90/1.54 , Y ), c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), c_Divides_Odiv__class_Omod(
% 0.90/1.54 tc_Polynomial_Opoly( X ), c_Polynomial_Osmult( X, T, Z ), Y ) =
% 0.90/1.54 c_Polynomial_Osmult( X, T, c_Divides_Odiv__class_Omod(
% 0.90/1.54 tc_Polynomial_Opoly( X ), Z, Y ) ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), ! c_Polynomial_Opdivmod__rel( X, T, Z, U, Y )
% 0.90/1.54 , c_Divides_Odiv__class_Omod( tc_Polynomial_Opoly( X ), T, Z ) = Y }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 0.90/1.54 , c_Polynomial_Odegree( X, Z ), c_Polynomial_Odegree( X, Y ) ),
% 0.90/1.54 c_Divides_Odiv__class_Omod( tc_Polynomial_Opoly( X ), Z, Y ) = Z }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.54 c_Divides_Odiv__class_Omod( tc_Polynomial_Opoly( X ), T,
% 0.90/1.54 c_Polynomial_Osmult( X, Y, Z ) ) = c_Divides_Odiv__class_Omod(
% 0.90/1.54 tc_Polynomial_Opoly( X ), T, Z ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), c_Divides_Odiv__class_Omod(
% 0.90/1.54 tc_Polynomial_Opoly( X ), c_Groups_Ouminus__class_Ouminus(
% 0.90/1.54 tc_Polynomial_Opoly( X ), Z ), Y ) = c_Groups_Ouminus__class_Ouminus(
% 0.90/1.54 tc_Polynomial_Opoly( X ), c_Divides_Odiv__class_Omod( tc_Polynomial_Opoly
% 0.90/1.54 ( X ), Z, Y ) ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), c_Divides_Odiv__class_Omod(
% 0.90/1.54 tc_Polynomial_Opoly( X ), Z, c_Groups_Ouminus__class_Ouminus(
% 0.90/1.54 tc_Polynomial_Opoly( X ), Y ) ) = c_Divides_Odiv__class_Omod(
% 0.90/1.54 tc_Polynomial_Opoly( X ), Z, Y ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ), c_Divides_Odiv__class_Omod(
% 0.90/1.54 tc_Polynomial_Opoly( X ), Z, Y ) = c_Groups_Ozero__class_Ozero(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.54 c_Polynomial_Odegree( X, c_Divides_Odiv__class_Omod( tc_Polynomial_Opoly
% 0.90/1.54 ( X ), Z, Y ) ), c_Polynomial_Odegree( X, Y ) ) }.
% 0.90/1.54 { ! class_Lattices_Oab__semigroup__idem__mult( X ),
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, Y, Y ) = Y }.
% 0.90/1.54 { ! class_Lattices_Oab__semigroup__idem__mult( X ),
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, Y, Y ) = Y }.
% 0.90/1.54 { ! class_Lattices_Oab__semigroup__idem__mult( X ),
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Otimes__class_Otimes( X, Z
% 0.90/1.54 , Y ) ) = c_Groups_Otimes__class_Otimes( X, Z, Y ) }.
% 0.90/1.54 { ! class_Groups_Ominus( X ), hAPP( c_Groups_Ominus__class_Ominus( tc_fun(
% 0.90/1.54 U, X ), T, Z ), Y ) = c_Groups_Ominus__class_Ominus( X, hAPP( T, Y ),
% 0.90/1.54 hAPP( Z, Y ) ) }.
% 0.90/1.54 { ! class_Lattices_Oboolean__algebra( X ), c_Groups_Ouminus__class_Ouminus
% 0.90/1.54 ( X, c_Groups_Ouminus__class_Ouminus( X, Y ) ) = Y }.
% 0.90/1.54 { ! class_Groups_Ouminus( X ), hAPP( c_Groups_Ouminus__class_Ouminus(
% 0.90/1.54 tc_fun( T, X ), Z ), Y ) = c_Groups_Ouminus__class_Ouminus( X, hAPP( Z, Y
% 0.90/1.54 ) ) }.
% 0.90/1.54 { ! class_Lattices_Oboolean__algebra( X ), !
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, Z ) = c_Groups_Ouminus__class_Ouminus
% 0.90/1.54 ( X, Y ), Z = Y }.
% 0.90/1.54 { ! class_Lattices_Oboolean__algebra( X ), ! Z = Y,
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, Z ) = c_Groups_Ouminus__class_Ouminus
% 0.90/1.54 ( X, Y ) }.
% 0.90/1.54 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.90/1.54 c_Groups_Oplus__class_Oplus( X, T, c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.90/1.54 ) ), Z ) = c_Divides_Odiv__class_Omod( X, T, Z ) }.
% 0.90/1.54 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.90/1.54 c_Groups_Oplus__class_Oplus( X, T, c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.90/1.54 ) ), Y ) = c_Divides_Odiv__class_Omod( X, T, Y ) }.
% 0.90/1.54 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Divides_Odiv__class_Omod(
% 0.90/1.54 tc_Nat_Onat, Z, Y ), X ) = c_Divides_Odiv__class_Omod( tc_Nat_Onat,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ),
% 0.90/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.90/1.54 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, c_Divides_Odiv__class_Omod
% 0.90/1.54 ( tc_Nat_Onat, Y, X ) ) = c_Divides_Odiv__class_Omod( tc_Nat_Onat,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.90/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.90/1.54 { c_Divides_Odiv__class_Omod( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) =
% 0.90/1.54 c_Divides_Odiv__class_Omod( tc_Nat_Onat, c_Nat_OSuc(
% 0.90/1.54 c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ) ), X ) }.
% 0.90/1.54 { c_Divides_Odiv__class_Omod( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.90/1.54 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ), X ), Y )
% 0.90/1.54 = c_Divides_Odiv__class_Omod( tc_Nat_Onat, X, Y ) }.
% 0.90/1.54 { ! c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ) =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y =
% 0.90/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, skol14( X, Y ) ) }.
% 0.90/1.54 { ! Y = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 0.90/1.54 c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ) =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.54 { ! c_Nat_OSuc( c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ) ) = X,
% 0.90/1.54 c_Divides_Odiv__class_Omod( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.54 { c_Nat_OSuc( c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ) ) = X,
% 0.90/1.54 c_Divides_Odiv__class_Omod( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) =
% 0.90/1.54 c_Nat_OSuc( c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ) ) }.
% 0.90/1.54 { c_Divides_Odiv__class_Omod( tc_Nat_Onat, X, c_Nat_OSuc(
% 0.90/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.90/1.54 { c_Divides_Odiv__class_Omod( tc_Nat_Onat, c_Nat_OSuc(
% 0.90/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.54 tc_Nat_Onat, Z, Y ), X ) ), Y ) = c_Divides_Odiv__class_Omod( tc_Nat_Onat
% 0.90/1.54 , c_Nat_OSuc( X ), Y ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.54 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.54 c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ), X ) }.
% 0.90/1.54 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.90/1.54 c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ), Y ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.54 c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ) = Y }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.54 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.54 c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ), X ) }.
% 0.90/1.54 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.54 c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ) =
% 0.90/1.54 c_Divides_Odiv__class_Omod( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.90/1.54 tc_Nat_Onat, Y, X ), X ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.54 c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ) = Y }.
% 0.90/1.54 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.90/1.54 c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ) =
% 0.90/1.54 c_Divides_Odiv__class_Omod( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.90/1.54 tc_Nat_Onat, Y, X ), X ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.90/1.54 c_Divides_Odiv__class_Omod( tc_Nat_Onat, X, Y ) =
% 0.90/1.54 c_Divides_Odiv__class_Omod( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.90/1.54 tc_Nat_Onat, X, Y ), Y ) }.
% 0.90/1.54 { ! hBOOL( hAPP( Z, c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ) ) ),
% 0.90/1.54 alpha22( X, Y, Z ) }.
% 0.90/1.54 { ! hBOOL( hAPP( Z, c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ) ) ),
% 0.90/1.54 alpha45( X, Y, Z ) }.
% 0.90/1.54 { ! alpha22( X, Y, Z ), ! alpha45( X, Y, Z ), hBOOL( hAPP( Z,
% 0.90/1.54 c_Divides_Odiv__class_Omod( tc_Nat_Onat, Y, X ) ) ) }.
% 0.90/1.54 { ! alpha45( X, Y, Z ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.90/1.54 alpha53( X, Y, Z ) }.
% 0.90/1.54 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha45( X, Y, Z ) }.
% 0.90/1.54 { ! alpha53( X, Y, Z ), alpha45( X, Y, Z ) }.
% 0.90/1.54 { ! alpha53( X, Y, Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, X
% 0.90/1.54 ), alpha58( X, Y, Z, T ) }.
% 0.90/1.54 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, skol15( X, T, U ), X ),
% 0.90/1.54 alpha53( X, Y, Z ) }.
% 0.90/1.54 { ! alpha58( X, Y, Z, skol15( X, Y, Z ) ), alpha53( X, Y, Z ) }.
% 0.90/1.54 { ! alpha58( X, Y, Z, T ), ! Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), T ), hBOOL( hAPP( Z,
% 0.90/1.54 T ) ) }.
% 0.90/1.54 { Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, skol16( X, Y, T ) ), T ),
% 0.90/1.54 alpha58( X, Y, Z, T ) }.
% 0.90/1.54 { ! hBOOL( hAPP( Z, T ) ), alpha58( X, Y, Z, T ) }.
% 0.90/1.54 { ! alpha22( X, Y, Z ), ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.90/1.54 hBOOL( hAPP( Z, Y ) ) }.
% 0.90/1.54 { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha22( X, Y, Z ) }.
% 0.90/1.54 { ! hBOOL( hAPP( Z, Y ) ), alpha22( X, Y, Z ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.54 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y
% 0.90/1.54 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.54 tc_Nat_Onat, Y, c_Divides_Odiv__class_Omod( tc_Nat_Onat, T, X ) ), Z ),
% 0.90/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oone__class_Oone(
% 0.90/1.54 tc_Nat_Onat ), X ), c_Divides_Odiv__class_Omod( tc_Nat_Onat, c_Nat_OSuc(
% 0.90/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ), X ) =
% 0.90/1.54 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.90/1.54 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.90/1.54 c_Divides_Odiv__class_Omod( X, Z, Y ), Y ) = c_Divides_Odiv__class_Omod(
% 0.90/1.54 X, Z, Y ) }.
% 0.90/1.54 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 }.
% 0.90/1.54 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X, Y,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.90/1.54 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X, Y, Y
% 0.90/1.54 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.54 { ! class_Divides_Osemiring__div( X ), ! c_Divides_Odiv__class_Omod( X, T,
% 0.90/1.54 Z ) = c_Divides_Odiv__class_Omod( X, Y, Z ), ! c_Divides_Odiv__class_Omod
% 0.90/1.54 ( X, W, Z ) = c_Divides_Odiv__class_Omod( X, U, Z ),
% 0.90/1.54 c_Divides_Odiv__class_Omod( X, c_Groups_Otimes__class_Otimes( X, T, W ),
% 0.90/1.54 Z ) = c_Divides_Odiv__class_Omod( X, c_Groups_Otimes__class_Otimes( X, Y
% 0.90/1.54 , U ), Z ) }.
% 0.90/1.54 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, c_Divides_Odiv__class_Omod( X, T, Z ),
% 0.90/1.54 Y ), Z ) = c_Divides_Odiv__class_Omod( X, c_Groups_Otimes__class_Otimes(
% 0.90/1.54 X, T, Y ), Z ) }.
% 0.90/1.54 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Groups_Otimes__class_Otimes(
% 0.90/1.54 X, Y, Z ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.90/1.54 c_Divides_Odiv__class_Omod( X, T, Y ), Z ) }.
% 0.90/1.54 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Groups_Otimes__class_Otimes(
% 0.90/1.54 X, T, Y ) ) = c_Groups_Otimes__class_Otimes( X, T,
% 0.90/1.54 c_Divides_Odiv__class_Omod( X, Z, Y ) ) }.
% 0.90/1.54 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.90/1.54 c_Divides_Odiv__class_Omod( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.54 c_Divides_Odiv__class_Omod( X, T, Y ), c_Divides_Odiv__class_Omod( X, Z,
% 0.90/1.54 Y ) ), Y ) }.
% 0.90/1.54 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.90/1.54 c_Divides_Odiv__class_Omod( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.54 c_Divides_Odiv__class_Omod( X, T, Y ), Z ), Y ) }.
% 0.90/1.54 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.90/1.54 c_Divides_Odiv__class_Omod( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.90/1.54 c_Divides_Odiv__class_Omod( X, Z, Y ) ), Y ) }.
% 0.90/1.54 { ! class_Divides_Osemiring__div( X ), ! c_Divides_Odiv__class_Omod( X, T,
% 0.90/1.54 Z ) = c_Divides_Odiv__class_Omod( X, Y, Z ), ! c_Divides_Odiv__class_Omod
% 0.90/1.54 ( X, W, Z ) = c_Divides_Odiv__class_Omod( X, U, Z ),
% 0.90/1.54 c_Divides_Odiv__class_Omod( X, c_Groups_Oplus__class_Oplus( X, T, W ), Z
% 0.90/1.54 ) = c_Divides_Odiv__class_Omod( X, c_Groups_Oplus__class_Oplus( X, Y, U
% 0.90/1.54 ), Z ) }.
% 0.90/1.54 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.90/1.54 c_Groups_Oplus__class_Oplus( X, c_Divides_Odiv__class_Omod( X, T, Z ), Y
% 0.90/1.54 ), Z ) = c_Divides_Odiv__class_Omod( X, c_Groups_Oplus__class_Oplus( X,
% 0.90/1.54 T, Y ), Z ) }.
% 0.90/1.54 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.90/1.54 c_Groups_Oplus__class_Oplus( X, T, c_Divides_Odiv__class_Omod( X, Z, Y )
% 0.90/1.54 ), Y ) = c_Divides_Odiv__class_Omod( X, c_Groups_Oplus__class_Oplus( X,
% 0.90/1.54 T, Z ), Y ) }.
% 0.90/1.54 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.90/1.54 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Divides_Odiv__class_Omod
% 0.90/1.54 ( X, c_Groups_Oplus__class_Oplus( X, c_Divides_Odiv__class_Omod( X, T, Y
% 0.90/1.54 ), c_Divides_Odiv__class_Omod( X, Z, Y ) ), Y ) }.
% 0.90/1.54 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.90/1.54 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Divides_Odiv__class_Omod
% 0.90/1.54 ( X, c_Groups_Oplus__class_Oplus( X, c_Divides_Odiv__class_Omod( X, T, Y
% 0.90/1.54 ), Z ), Y ) }.
% 0.90/1.54 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.90/1.54 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Divides_Odiv__class_Omod
% 0.90/1.54 ( X, c_Groups_Oplus__class_Oplus( X, T, c_Divides_Odiv__class_Omod( X, Z
% 0.90/1.54 , Y ) ), Y ) }.
% 0.90/1.54 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.90/1.54 c_Groups_Oplus__class_Oplus( X, Z, Y ), Z ) = c_Divides_Odiv__class_Omod
% 0.90/1.54 ( X, Y, Z ) }.
% 0.90/1.54 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.90/1.54 c_Groups_Oplus__class_Oplus( X, Z, Y ), Y ) = c_Divides_Odiv__class_Omod
% 0.90/1.54 ( X, Z, Y ) }.
% 0.90/1.54 { ! class_Divides_Oring__div( X ), ! c_Divides_Odiv__class_Omod( X, T, Z )
% 0.90/1.54 = c_Divides_Odiv__class_Omod( X, Y, Z ), ! c_Divides_Odiv__class_Omod( X
% 0.90/1.54 , W, Z ) = c_Divides_Odiv__class_Omod( X, U, Z ),
% 0.90/1.54 c_Divides_Odiv__class_Omod( X, c_Groups_Ominus__class_Ominus( X, T, W ),
% 0.90/1.54 Z ) = c_Divides_Odiv__class_Omod( X, c_Groups_Ominus__class_Ominus( X, Y
% 0.90/1.54 , U ), Z ) }.
% 0.90/1.54 { ! class_Divides_Oring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( X, T, Z ), Y ) =
% 0.90/1.54 c_Divides_Odiv__class_Omod( X, c_Groups_Ominus__class_Ominus( X,
% 0.90/1.54 c_Divides_Odiv__class_Omod( X, T, Y ), c_Divides_Odiv__class_Omod( X, Z,
% 0.90/1.54 Y ) ), Y ) }.
% 0.90/1.54 { ! class_Divides_Oring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( X, T, Z ), Y ) =
% 0.90/1.54 c_Divides_Odiv__class_Omod( X, c_Groups_Ominus__class_Ominus( X,
% 0.90/1.54 c_Divides_Odiv__class_Omod( X, T, Y ), Z ), Y ) }.
% 0.90/1.54 { ! class_Divides_Oring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( X, T, Z ), Y ) =
% 0.90/1.54 c_Divides_Odiv__class_Omod( X, c_Groups_Ominus__class_Ominus( X, T,
% 0.90/1.54 c_Divides_Odiv__class_Omod( X, Z, Y ) ), Y ) }.
% 0.90/1.54 { ! class_Divides_Oring__div( X ), ! c_Divides_Odiv__class_Omod( X, T, Z )
% 0.90/1.54 = c_Divides_Odiv__class_Omod( X, Y, Z ), c_Divides_Odiv__class_Omod( X,
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, T ), Z ) = c_Divides_Odiv__class_Omod
% 0.90/1.54 ( X, c_Groups_Ouminus__class_Ouminus( X, Y ), Z ) }.
% 0.90/1.54 { ! class_Divides_Oring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) = c_Divides_Odiv__class_Omod
% 0.90/1.54 ( X, c_Groups_Ouminus__class_Ouminus( X, c_Divides_Odiv__class_Omod( X, Z
% 0.90/1.54 , Y ) ), Y ) }.
% 0.90/1.54 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ), Z ) =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.54 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ), Y ) =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.54 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X, Y,
% 0.90/1.54 c_Groups_Oone__class_Oone( X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ), ! Y = c_Groups_Ozero__class_Ozero(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ), c_Groups_Osgn__class_Osgn(
% 0.90/1.54 tc_Polynomial_Opoly( X ), Y ) = c_Groups_Ozero__class_Ozero(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.54 tc_Polynomial_Opoly( X ), c_Groups_Ozero__class_Ozero(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ), Y ), c_Groups_Osgn__class_Osgn(
% 0.90/1.54 tc_Polynomial_Opoly( X ), Y ) = c_Groups_Oone__class_Oone(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ), c_Orderings_Oord__class_Oless(
% 0.90/1.54 tc_Polynomial_Opoly( X ), c_Groups_Ozero__class_Ozero(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ), Y ), c_Groups_Osgn__class_Osgn(
% 0.90/1.54 tc_Polynomial_Opoly( X ), Y ) = c_Groups_Ouminus__class_Ouminus(
% 0.90/1.54 tc_Polynomial_Opoly( X ), c_Groups_Oone__class_Oone( tc_Polynomial_Opoly
% 0.90/1.54 ( X ) ) ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), ! Z = c_Groups_Ozero__class_Ozero(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ), ! Y = c_Groups_Ozero__class_Ozero(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ), hAPP( c_Polynomial_Ocoeff( X,
% 0.90/1.54 c_Polynomial_Opoly__gcd( X, Z, Y ) ), c_Polynomial_Odegree( X,
% 0.90/1.54 c_Polynomial_Opoly__gcd( X, Z, Y ) ) ) = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), Z = c_Groups_Ozero__class_Ozero(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ), hAPP( c_Polynomial_Ocoeff( X,
% 0.90/1.54 c_Polynomial_Opoly__gcd( X, Z, Y ) ), c_Polynomial_Odegree( X,
% 0.90/1.54 c_Polynomial_Opoly__gcd( X, Z, Y ) ) ) = c_Groups_Oone__class_Oone( X ) }
% 0.90/1.54 .
% 0.90/1.54 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ), hAPP( c_Polynomial_Ocoeff( X,
% 0.90/1.54 c_Polynomial_Opoly__gcd( X, Z, Y ) ), c_Polynomial_Odegree( X,
% 0.90/1.54 c_Polynomial_Opoly__gcd( X, Z, Y ) ) ) = c_Groups_Oone__class_Oone( X ) }
% 0.90/1.54 .
% 0.90/1.54 { ! class_RealVector_Oreal__normed__vector( X ), c_Groups_Osgn__class_Osgn
% 0.90/1.54 ( X, c_Groups_Ouminus__class_Ouminus( X, Y ) ) =
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, c_Groups_Osgn__class_Osgn( X, Y ) ) }
% 0.90/1.54 .
% 0.90/1.54 { ! class_Fields_Ofield( X ), c_Polynomial_Opoly__gcd( X, Z,
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( tc_Polynomial_Opoly( X ), Y ) ) =
% 0.90/1.54 c_Polynomial_Opoly__gcd( X, Z, Y ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), c_Polynomial_Opoly__gcd( X,
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( tc_Polynomial_Opoly( X ), Z ), Y ) =
% 0.90/1.54 c_Polynomial_Opoly__gcd( X, Z, Y ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.90/1.54 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Osgn__class_Osgn( X, Y ) ),
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ) }
% 0.90/1.54 .
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.90/1.54 , c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X
% 0.90/1.54 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Osgn__class_Osgn( X, Y ) ) }
% 0.90/1.54 .
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.90/1.54 , c_Groups_Osgn__class_Osgn( X, Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ) }
% 0.90/1.54 .
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.90/1.54 , Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.90/1.54 , c_Groups_Osgn__class_Osgn( X, Y ), c_Groups_Ozero__class_Ozero( X ) ) }
% 0.90/1.54 .
% 0.90/1.54 { ! class_RealVector_Oreal__normed__algebra__1( X ),
% 0.90/1.54 c_Groups_Osgn__class_Osgn( X, c_Groups_Oone__class_Oone( X ) ) =
% 0.90/1.54 c_Groups_Oone__class_Oone( X ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), c_Polynomial_Opoly__gcd( X,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ),
% 0.90/1.54 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ) =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), ! c_Polynomial_Opoly__gcd( X, Z, Y ) =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), Z =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), ! c_Polynomial_Opoly__gcd( X, Z, Y ) =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), Y =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), ! Z = c_Groups_Ozero__class_Ozero(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ), ! Y = c_Groups_Ozero__class_Ozero(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ), c_Polynomial_Opoly__gcd( X, Z, Y ) =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ), c_Groups_Osgn__class_Osgn( X,
% 0.90/1.54 c_Groups_Osgn__class_Osgn( X, Y ) ) = c_Groups_Osgn__class_Osgn( X, Y ) }
% 0.90/1.54 .
% 0.90/1.54 { ! class_Fields_Ofield( X ), c_Polynomial_Opoly__gcd( X,
% 0.90/1.54 c_Polynomial_Opoly__gcd( X, T, Z ), Y ) = c_Polynomial_Opoly__gcd( X, T,
% 0.90/1.54 c_Polynomial_Opoly__gcd( X, Z, Y ) ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), c_Polynomial_Opoly__gcd( X, T,
% 0.90/1.54 c_Polynomial_Opoly__gcd( X, Z, Y ) ) = c_Polynomial_Opoly__gcd( X, Z,
% 0.90/1.54 c_Polynomial_Opoly__gcd( X, T, Y ) ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), c_Polynomial_Opoly__gcd( X, Z, Y ) =
% 0.90/1.54 c_Polynomial_Opoly__gcd( X, Y, Z ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ), c_Groups_Osgn__class_Osgn( X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, c_Groups_Osgn__class_Osgn( X, Z ),
% 0.90/1.54 c_Groups_Osgn__class_Osgn( X, Y ) ) }.
% 0.90/1.54 { ! class_RealVector_Oreal__normed__div__algebra( X ),
% 0.90/1.54 c_Groups_Osgn__class_Osgn( X, c_Groups_Otimes__class_Otimes( X, Z, Y ) )
% 0.90/1.54 = c_Groups_Otimes__class_Otimes( X, c_Groups_Osgn__class_Osgn( X, Z ),
% 0.90/1.54 c_Groups_Osgn__class_Osgn( X, Y ) ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ), ! c_Groups_Osgn__class_Osgn( X, Y )
% 0.90/1.54 = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ), ! Y = c_Groups_Ozero__class_Ozero(
% 0.90/1.54 X ), c_Groups_Osgn__class_Osgn( X, Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 }.
% 0.90/1.54 { ! class_Groups_Osgn__if( X ), c_Groups_Osgn__class_Osgn( X,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.54 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.90/1.54 c_Groups_Osgn__class_Osgn( X, Y ) = c_Groups_Ozero__class_Ozero( X ), Y =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.54 { ! class_RealVector_Oreal__normed__vector( X ), ! Y =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), c_Groups_Osgn__class_Osgn( X, Y ) =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.54 { ! class_RealVector_Oreal__normed__vector( X ), c_Groups_Osgn__class_Osgn
% 0.90/1.54 ( X, c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X
% 0.90/1.54 ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), c_Polynomial_Opoly__gcd( X, Y,
% 0.90/1.54 c_Groups_Oone__class_Oone( tc_Polynomial_Opoly( X ) ) ) =
% 0.90/1.54 c_Groups_Oone__class_Oone( tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), c_Polynomial_Opoly__gcd( X,
% 0.90/1.54 c_Groups_Oone__class_Oone( tc_Polynomial_Opoly( X ) ), Y ) =
% 0.90/1.54 c_Groups_Oone__class_Oone( tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ), c_Polynomial_Opoly__gcd( X, Z, Y ) =
% 0.90/1.54 c_Polynomial_Opoly__gcd( X, Y, c_Divides_Odiv__class_Omod(
% 0.90/1.54 tc_Polynomial_Opoly( X ), Z, Y ) ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ), ! c_Groups_Osgn__class_Osgn( X, Y )
% 0.90/1.54 = c_Groups_Oone__class_Oone( X ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.90/1.54 , c_Groups_Ozero__class_Ozero( X ), Y ), c_Groups_Osgn__class_Osgn( X, Y
% 0.90/1.54 ) = c_Groups_Oone__class_Oone( X ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.90/1.54 , c_Groups_Ozero__class_Ozero( X ), Y ), c_Groups_Osgn__class_Osgn( X, Y
% 0.90/1.54 ) = c_Groups_Oone__class_Oone( X ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.90/1.54 , Y, c_Groups_Ozero__class_Ozero( X ) ), c_Groups_Osgn__class_Osgn( X, Y
% 0.90/1.54 ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Oone__class_Oone( X ) )
% 0.90/1.54 }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ), ! c_Groups_Osgn__class_Osgn( X, Y )
% 0.90/1.54 = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Oone__class_Oone( X ) ),
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ) }
% 0.90/1.54 .
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.90/1.54 , Y, c_Groups_Ozero__class_Ozero( X ) ), c_Groups_Osgn__class_Osgn( X, Y
% 0.90/1.54 ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Oone__class_Oone( X ) )
% 0.90/1.54 }.
% 0.90/1.54 { ! class_Groups_Osgn__if( X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.54 c_Groups_Osgn__class_Osgn( X, Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.54 { ! class_Groups_Osgn__if( X ), Y = c_Groups_Ozero__class_Ozero( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.90/1.54 c_Groups_Osgn__class_Osgn( X, Y ) = c_Groups_Oone__class_Oone( X ) }.
% 0.90/1.54 { ! class_Groups_Osgn__if( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.90/1.54 c_Groups_Osgn__class_Osgn( X, Y ) = c_Groups_Ouminus__class_Ouminus( X,
% 0.90/1.54 c_Groups_Oone__class_Oone( X ) ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), ! Z = c_Groups_Ozero__class_Ozero(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ), c_Polynomial_Opoly__gcd( X, Y, Z ) =
% 0.90/1.54 c_Polynomial_Osmult( X, c_Rings_Oinverse__class_Oinverse( X, hAPP(
% 0.90/1.54 c_Polynomial_Ocoeff( X, Y ), c_Polynomial_Odegree( X, Y ) ) ), Y ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), Z = c_Groups_Ozero__class_Ozero(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ), c_Polynomial_Opoly__gcd( X, Y, Z ) =
% 0.90/1.54 c_Polynomial_Opoly__gcd( X, Z, c_Divides_Odiv__class_Omod(
% 0.90/1.54 tc_Polynomial_Opoly( X ), Y, Z ) ) }.
% 0.90/1.54 { hBOOL( hAPP( X, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), ! hBOOL(
% 0.90/1.54 hAPP( X, Y ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, skol17( Z, Y
% 0.90/1.54 ), Y ) }.
% 0.90/1.54 { hBOOL( hAPP( X, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), ! hBOOL(
% 0.90/1.54 hAPP( X, Y ) ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.90/1.54 skol17( X, Y ) ), ! hBOOL( hAPP( X, Z ) ) }.
% 0.90/1.54 { hBOOL( hAPP( X, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), ! hBOOL(
% 0.90/1.54 hAPP( X, Y ) ), hBOOL( hAPP( X, c_Groups_Oplus__class_Oplus( tc_Nat_Onat
% 0.90/1.54 , skol17( X, Y ), c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) ) }.
% 0.90/1.54 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Oinverse( X,
% 0.90/1.54 Y ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X )
% 0.90/1.54 , Y ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), c_Rings_Oinverse__class_Oinverse( X, Y ) =
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X ), Y ) }
% 0.90/1.54 .
% 0.90/1.54 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X, Z
% 0.90/1.54 , Y ) = c_Groups_Otimes__class_Otimes( X, Z,
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.90/1.54 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 , Z = c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Oinverse
% 0.90/1.54 ( X, c_Groups_Otimes__class_Otimes( X, Y, Z ) ) =
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, c_Rings_Oinverse__class_Oinverse( X, Z
% 0.90/1.54 ), c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.90/1.54 { ! class_Rings_Odivision__ring( X ), ! c_Groups_Otimes__class_Otimes( X, Z
% 0.90/1.54 , Y ) = c_Groups_Oone__class_Oone( X ), c_Rings_Oinverse__class_Oinverse
% 0.90/1.54 ( X, Z ) = Y }.
% 0.90/1.54 { ! class_Rings_Odivision__ring__inverse__zero( X ),
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, c_Rings_Oinverse__class_Oinverse( X
% 0.90/1.54 , Y ) ) = Y }.
% 0.90/1.54 { ! class_Rings_Odivision__ring__inverse__zero( X ), !
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, Z ) =
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, Y ), Z = Y }.
% 0.90/1.54 { ! class_Rings_Odivision__ring__inverse__zero( X ), ! Z = Y,
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, Z ) =
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, Y ) }.
% 0.90/1.54 { ! class_Rings_Odivision__ring__inverse__zero( X ), !
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, Z ) =
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, Y ), Z = Y }.
% 0.90/1.54 { ! class_Rings_Odivision__ring__inverse__zero( X ),
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.54 { ! class_Rings_Odivision__ring__inverse__zero( X ), !
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.90/1.54 ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.54 { ! class_Rings_Odivision__ring__inverse__zero( X ), ! Y =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Oinverse( X, Y
% 0.90/1.54 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.54 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 , ! c_Rings_Oinverse__class_Oinverse( X, Y ) =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.54 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 , c_Rings_Oinverse__class_Oinverse( X, c_Rings_Oinverse__class_Oinverse(
% 0.90/1.54 X, Y ) ) = Y }.
% 0.90/1.54 { ! class_Rings_Odivision__ring( X ), ! c_Rings_Oinverse__class_Oinverse( X
% 0.90/1.54 , Y ) = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero
% 0.90/1.54 ( X ) }.
% 0.90/1.54 { ! class_Rings_Odivision__ring( X ), ! c_Rings_Oinverse__class_Oinverse( X
% 0.90/1.54 , Z ) = c_Rings_Oinverse__class_Oinverse( X, Y ), Z =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z
% 0.90/1.54 = Y }.
% 0.90/1.54 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Oinverse( X,
% 0.90/1.54 c_Groups_Oone__class_Oone( X ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.90/1.54 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, Y ) = c_Groups_Oone__class_Oone( X )
% 0.90/1.54 , Y = c_Groups_Oone__class_Oone( X ) }.
% 0.90/1.54 { ! class_Fields_Ofield__inverse__zero( X ), ! Y =
% 0.90/1.54 c_Groups_Oone__class_Oone( X ), c_Rings_Oinverse__class_Oinverse( X, Y )
% 0.90/1.54 = c_Groups_Oone__class_Oone( X ) }.
% 0.90/1.54 { ! class_Fields_Ofield__inverse__zero( X ),
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.90/1.54 , Y ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, Z ),
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.90/1.54 { ! class_Fields_Ofield__inverse__zero( X ),
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse( X
% 0.90/1.54 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.90/1.54 ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, Y ) ),
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.54 ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.90/1.54 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.90/1.54 ), c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.90/1.54 { ! class_Fields_Ofield__inverse__zero( X ),
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, c_Rings_Oinverse__class_Odivide( X,
% 0.90/1.54 Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X, Y, Z ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) =
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, Z, c_Rings_Oinverse__class_Oinverse( X
% 0.90/1.54 , Y ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.90/1.54 ( X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.90/1.54 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.90/1.54 , Y, c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.90/1.54 ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Oinverse( X
% 0.90/1.54 , Y ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Oinverse( X
% 0.90/1.54 , Y ) ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ) }
% 0.90/1.54 .
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, c_Rings_Oinverse__class_Oinverse( X, Y ), c_Groups_Ozero__class_Ozero
% 0.90/1.54 ( X ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, Y ),
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, Y ),
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, c_Rings_Oinverse__class_Oinverse( X, Y ), c_Groups_Ozero__class_Ozero
% 0.90/1.54 ( X ) ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ) }
% 0.90/1.54 .
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, c_Rings_Oinverse__class_Oinverse( X, Z ),
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, Y ) ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, c_Rings_Oinverse__class_Oinverse( X, Z ),
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, Y ) ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.90/1.54 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 , c_Rings_Oinverse__class_Oinverse( X, c_Groups_Ouminus__class_Ouminus( X
% 0.90/1.54 , Y ) ) = c_Groups_Ouminus__class_Ouminus( X,
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.90/1.54 { ! class_Rings_Odivision__ring__inverse__zero( X ),
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, c_Groups_Ouminus__class_Ouminus( X,
% 0.90/1.54 Y ) ) = c_Groups_Ouminus__class_Ouminus( X,
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse( X
% 0.90/1.54 , Y ), c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse( X
% 0.90/1.54 , Y ), c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse( X
% 0.90/1.54 , Z ), c_Rings_Oinverse__class_Oinverse( X, Y ) ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse( X
% 0.90/1.54 , Z ), c_Rings_Oinverse__class_Oinverse( X, Y ) ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse( X
% 0.90/1.54 , Y ), c_Groups_Oone__class_Oone( X ) ),
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X )
% 0.90/1.54 , Y ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 ), c_Orderings_Oord__class_Oless__eq( X,
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, Y ), c_Groups_Oone__class_Oone( X )
% 0.90/1.54 ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ), Y )
% 0.90/1.54 , c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse
% 0.90/1.54 ( X, Y ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, Y ),
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, Z ) ) =
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.54 c_Groups_Oplus__class_Oplus( X, Y, Z ), c_Rings_Oinverse__class_Oinverse
% 0.90/1.54 ( X, Y ) ), c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 0.90/1.54 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 , Z = c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, Y ),
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, Z ) ) =
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, Y ), c_Groups_Oplus__class_Oplus( X
% 0.90/1.54 , Y, Z ) ), c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.90/1.54 ( X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.90/1.54 ( X, Y, c_Groups_Oone__class_Oone( X ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.90/1.54 ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Oone__class_Oone( X ) ),
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.90/1.54 ( X, Y, c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, c_Groups_Oone__class_Oone( X ), c_Rings_Oinverse__class_Oinverse( X, Y
% 0.90/1.54 ) ) }.
% 0.90/1.54 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 , Z = c_Groups_Ozero__class_Ozero( X ), c_Groups_Ominus__class_Ominus( X
% 0.90/1.54 , c_Rings_Oinverse__class_Oinverse( X, Y ),
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, Z ) ) =
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, Y ), c_Groups_Ominus__class_Ominus(
% 0.90/1.54 X, Z, Y ) ), c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.90/1.54 ), Y ) = c_Groups_Oone__class_Oone( X ) }.
% 0.90/1.54 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 , c_Groups_Otimes__class_Otimes( X, c_Rings_Oinverse__class_Oinverse( X,
% 0.90/1.54 Y ), Y ) = c_Groups_Oone__class_Oone( X ) }.
% 0.90/1.54 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 , c_Groups_Otimes__class_Otimes( X, Y, c_Rings_Oinverse__class_Oinverse(
% 0.90/1.54 X, Y ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.90/1.54 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 , c_Rings_Oinverse__class_Oinverse( X, Y ) =
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X ), Y ) }
% 0.90/1.54 .
% 0.90/1.54 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), !
% 0.90/1.54 c_Polynomial_Opdivmod__rel( X, W, U, T, Z ), c_Polynomial_Opdivmod__rel(
% 0.90/1.54 X, W, c_Polynomial_Osmult( X, Y, U ), c_Polynomial_Osmult( X,
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, Y ), T ), Z ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Oone__class_Oone( X ) )
% 0.90/1.54 , c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.90/1.54 ), c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless__eq(
% 0.90/1.54 X, Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless(
% 0.90/1.54 X, c_Groups_Oone__class_Oone( X ), Y ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X
% 0.90/1.54 , Y ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), Y ),
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.90/1.54 ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.90/1.54 ( X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, Y ) ),
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Oone__class_Oone( X ) )
% 0.90/1.54 }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.90/1.54 ! c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Oone__class_Oone( X )
% 0.90/1.54 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X )
% 0.90/1.54 , c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.90/1.54 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.90/1.54 , Z = c_Groups_Ozero__class_Ozero( X ), c_Groups_Ominus__class_Ominus( X
% 0.90/1.54 , c_Rings_Oinverse__class_Oinverse( X, Y ),
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, Z ) ) =
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.90/1.54 ), c_Groups_Ominus__class_Ominus( X, Y, Z ) ),
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, Z ) ) ) }.
% 0.90/1.54 { ! class_RealVector_Oreal__normed__field( X ), Y =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.54 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X,
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, Y ),
% 0.90/1.54 c_Rings_Oinverse__class_Oinverse( X, Z ) ), T ) =
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.90/1.54 ), c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X
% 0.90/1.54 , Y, Z ), T ) ), c_Rings_Oinverse__class_Oinverse( X, Z ) ) ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), c_Polynomial_Opoly__gcd( X, Y,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ) =
% 0.90/1.54 c_Polynomial_Osmult( X, c_Rings_Oinverse__class_Oinverse( X, hAPP(
% 0.90/1.54 c_Polynomial_Ocoeff( X, Y ), c_Polynomial_Odegree( X, Y ) ) ), Y ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ),
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.54 skol18( X, T, U ) ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ),
% 0.90/1.54 c_Orderings_Oord__class_Oless( X, skol18( X, T, U ),
% 0.90/1.54 c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.90/1.54 , Y ) }.
% 0.90/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X,
% 0.90/1.54 skol18( X, Y, Z ), Z ), Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y )
% 0.90/1.54 }.
% 0.90/1.54 { ! class_Rings_Oidom( X ), ! hAPP( c_Polynomial_Opoly( X, Z ), Y ) =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), c_Rings_Odvd__class_Odvd(
% 0.90/1.54 tc_Polynomial_Opoly( X ), c_Polynomial_OpCons( X,
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, Y ), c_Polynomial_OpCons( X,
% 0.90/1.54 c_Groups_Oone__class_Oone( X ), c_Groups_Ozero__class_Ozero(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) ) ), Z ) }.
% 0.90/1.54 { ! class_Rings_Oidom( X ), ! c_Rings_Odvd__class_Odvd( tc_Polynomial_Opoly
% 0.90/1.54 ( X ), c_Polynomial_OpCons( X, c_Groups_Ouminus__class_Ouminus( X, Y ),
% 0.90/1.54 c_Polynomial_OpCons( X, c_Groups_Oone__class_Oone( X ),
% 0.90/1.54 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ) ), Z ), hAPP(
% 0.90/1.54 c_Polynomial_Opoly( X, Z ), Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Rings_Odvd__class_Odvd( X, Y,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), c_Rings_Odvd__class_Odvd( tc_Polynomial_Opoly
% 0.90/1.54 ( X ), c_Polynomial_Opoly__gcd( X, Z, Y ), Z ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), c_Rings_Odvd__class_Odvd( tc_Polynomial_Opoly
% 0.90/1.54 ( X ), c_Polynomial_Opoly__gcd( X, Z, Y ), Y ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__ring__1( X ), ! c_Rings_Odvd__class_Odvd( X, Z,
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, Y ) ), c_Rings_Odvd__class_Odvd( X, Z
% 0.90/1.54 , Y ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__ring__1( X ), ! c_Rings_Odvd__class_Odvd( X, Z, Y )
% 0.90/1.54 , c_Rings_Odvd__class_Odvd( X, Z, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.90/1.54 ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__ring__1( X ), ! c_Rings_Odvd__class_Odvd( X,
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ), c_Rings_Odvd__class_Odvd( X
% 0.90/1.54 , Z, Y ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__ring__1( X ), ! c_Rings_Odvd__class_Odvd( X, Z, Y )
% 0.90/1.54 , c_Rings_Odvd__class_Odvd( X, c_Groups_Ouminus__class_Ouminus( X, Z ), Y
% 0.90/1.54 ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__ring__1( X ), ! c_Rings_Odvd__class_Odvd( X, Z, Y )
% 0.90/1.54 , ! c_Rings_Odvd__class_Odvd( X, Z, T ), c_Rings_Odvd__class_Odvd( X, Z,
% 0.90/1.54 c_Groups_Ominus__class_Ominus( X, Y, T ) ) }.
% 0.90/1.54 { ! class_Rings_Oidom( X ), ! hAPP( c_Polynomial_Ocoeff( X, Z ),
% 0.90/1.54 c_Polynomial_Odegree( X, Z ) ) = hAPP( c_Polynomial_Ocoeff( X, Y ),
% 0.90/1.54 c_Polynomial_Odegree( X, Y ) ), ! c_Rings_Odvd__class_Odvd(
% 0.90/1.54 tc_Polynomial_Opoly( X ), Z, Y ), ! c_Rings_Odvd__class_Odvd(
% 0.90/1.54 tc_Polynomial_Opoly( X ), Y, Z ), Z = Y }.
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Rings_Odvd__class_Odvd( X,
% 0.90/1.54 c_Groups_Oone__class_Oone( X ), Y ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__1( X ), ! c_Rings_Odvd__class_Odvd( X,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), Y ), Y = c_Groups_Ozero__class_Ozero( X
% 0.90/1.54 ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__1( X ), ! c_Rings_Odvd__class_Odvd( X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ), c_Rings_Odvd__class_Odvd(
% 0.90/1.54 X, Z, Y ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__1( X ), ! c_Rings_Odvd__class_Odvd( X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, Z, T ), Y ), c_Rings_Odvd__class_Odvd(
% 0.90/1.54 X, Z, Y ) }.
% 0.90/1.54 { ! class_Rings_Odvd( X ), ! Z = c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.90/1.54 c_Rings_Odvd__class_Odvd( X, Y, Z ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__1( X ), ! c_Rings_Odvd__class_Odvd( X, Z,
% 0.90/1.54 Y ), ! c_Rings_Odvd__class_Odvd( X, U, T ), c_Rings_Odvd__class_Odvd( X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, Z, U ), c_Groups_Otimes__class_Otimes(
% 0.90/1.54 X, Y, T ) ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__1( X ), ! c_Rings_Odvd__class_Odvd( X, Z,
% 0.90/1.54 Y ), c_Rings_Odvd__class_Odvd( X, Z, c_Groups_Otimes__class_Otimes( X, T
% 0.90/1.54 , Y ) ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__1( X ), ! c_Rings_Odvd__class_Odvd( X, Z,
% 0.90/1.54 Y ), c_Rings_Odvd__class_Odvd( X, Z, c_Groups_Otimes__class_Otimes( X, Y
% 0.90/1.54 , T ) ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Rings_Odvd__class_Odvd( X, Z,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Rings_Odvd__class_Odvd( X, Z,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__1( X ), ! c_Rings_Odvd__class_Odvd( X, Z,
% 0.90/1.54 Y ), ! c_Rings_Odvd__class_Odvd( X, Z, T ), c_Rings_Odvd__class_Odvd( X,
% 0.90/1.54 Z, c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__1( X ), ! c_Rings_Odvd__class_Odvd(
% 0.90/1.54 tc_Polynomial_Opoly( X ), Z, Y ), c_Rings_Odvd__class_Odvd(
% 0.90/1.54 tc_Polynomial_Opoly( X ), Z, c_Polynomial_Osmult( X, T, Y ) ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__1( X ), ! c_Rings_Odvd__class_Odvd(
% 0.90/1.54 tc_Polynomial_Opoly( X ), c_Polynomial_Osmult( X, T, Z ), Y ),
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Polynomial_Opoly( X ), Z, Y ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__1( X ), ! c_Rings_Odvd__class_Odvd( X, Z,
% 0.90/1.54 Y ), ! c_Rings_Odvd__class_Odvd( X, Y, T ), c_Rings_Odvd__class_Odvd( X,
% 0.90/1.54 Z, T ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Rings_Odvd__class_Odvd( X, Y, Y
% 0.90/1.54 ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), !
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Polynomial_Opoly( X ), T,
% 0.90/1.54 c_Polynomial_Osmult( X, Y, Z ) ), c_Rings_Odvd__class_Odvd(
% 0.90/1.54 tc_Polynomial_Opoly( X ), T, Z ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), !
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Polynomial_Opoly( X ), T, Z ),
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Polynomial_Opoly( X ), T,
% 0.90/1.54 c_Polynomial_Osmult( X, Y, Z ) ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), ! c_Rings_Odvd__class_Odvd(
% 0.90/1.54 tc_Polynomial_Opoly( X ), Z, Y ), T = c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Polynomial_Opoly( X ), c_Polynomial_Osmult(
% 0.90/1.54 X, T, Z ), Y ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), ! c_Rings_Odvd__class_Odvd(
% 0.90/1.54 tc_Polynomial_Opoly( X ), T, c_Polynomial_Osmult( X, Z, Y ) ), Z =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ), c_Rings_Odvd__class_Odvd(
% 0.90/1.54 tc_Polynomial_Opoly( X ), T, Y ) }.
% 0.90/1.54 { ! class_Rings_Oidom( X ), ! c_Rings_Odvd__class_Odvd( X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Groups_Otimes__class_Otimes(
% 0.90/1.54 X, Y, Z ) ), Z = c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.54 c_Rings_Odvd__class_Odvd( X, T, Y ) }.
% 0.90/1.54 { ! class_Rings_Oidom( X ), ! Z = c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.54 c_Rings_Odvd__class_Odvd( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.90/1.54 { ! class_Rings_Oidom( X ), ! c_Rings_Odvd__class_Odvd( X, T, Y ),
% 0.90/1.54 c_Rings_Odvd__class_Odvd( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.90/1.54 { ! class_Rings_Oidom( X ), ! c_Rings_Odvd__class_Odvd( X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Groups_Otimes__class_Otimes(
% 0.90/1.54 X, T, Y ) ), T = c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.54 c_Rings_Odvd__class_Odvd( X, Z, Y ) }.
% 0.90/1.54 { ! class_Rings_Oidom( X ), ! T = c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.54 c_Rings_Odvd__class_Odvd( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.90/1.54 { ! class_Rings_Oidom( X ), ! c_Rings_Odvd__class_Odvd( X, Z, Y ),
% 0.90/1.54 c_Rings_Odvd__class_Odvd( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), ! c_Rings_Odvd__class_Odvd(
% 0.90/1.54 tc_Polynomial_Opoly( X ), T, c_Polynomial_Opoly__gcd( X, Z, Y ) ),
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Polynomial_Opoly( X ), T, Z ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), ! c_Rings_Odvd__class_Odvd(
% 0.90/1.54 tc_Polynomial_Opoly( X ), T, c_Polynomial_Opoly__gcd( X, Z, Y ) ),
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Polynomial_Opoly( X ), T, Y ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), ! c_Rings_Odvd__class_Odvd(
% 0.90/1.54 tc_Polynomial_Opoly( X ), T, Z ), ! c_Rings_Odvd__class_Odvd(
% 0.90/1.54 tc_Polynomial_Opoly( X ), T, Y ), c_Rings_Odvd__class_Odvd(
% 0.90/1.54 tc_Polynomial_Opoly( X ), T, c_Polynomial_Opoly__gcd( X, Z, Y ) ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), ! c_Rings_Odvd__class_Odvd(
% 0.90/1.54 tc_Polynomial_Opoly( X ), Z, Y ), ! c_Rings_Odvd__class_Odvd(
% 0.90/1.54 tc_Polynomial_Opoly( X ), Z, T ), c_Rings_Odvd__class_Odvd(
% 0.90/1.54 tc_Polynomial_Opoly( X ), Z, c_Polynomial_Opoly__gcd( X, Y, T ) ) }.
% 0.90/1.54 { ! class_Divides_Osemiring__div( X ), ! c_Rings_Odvd__class_Odvd( X, Z, Y
% 0.90/1.54 ), c_Divides_Odiv__class_Omod( X, Y, Z ) = c_Groups_Ozero__class_Ozero(
% 0.90/1.54 X ) }.
% 0.90/1.54 { ! class_Divides_Osemiring__div( X ), ! c_Rings_Odvd__class_Odvd( X, Z, Y
% 0.90/1.54 ), c_Divides_Odiv__class_Omod( X, Y, Z ) = c_Groups_Ozero__class_Ozero(
% 0.90/1.54 X ) }.
% 0.90/1.54 { ! class_Divides_Osemiring__div( X ), ! c_Divides_Odiv__class_Omod( X, Y,
% 0.90/1.54 Z ) = c_Groups_Ozero__class_Ozero( X ), c_Rings_Odvd__class_Odvd( X, Z, Y
% 0.90/1.54 ) }.
% 0.90/1.54 { ! class_Divides_Osemiring__div( X ), ! c_Rings_Odvd__class_Odvd( X, T,
% 0.90/1.54 c_Divides_Odiv__class_Omod( X, Z, Y ) ), ! c_Rings_Odvd__class_Odvd( X, T
% 0.90/1.54 , Y ), c_Rings_Odvd__class_Odvd( X, T, Z ) }.
% 0.90/1.54 { ! class_Divides_Osemiring__div( X ), ! c_Rings_Odvd__class_Odvd( X, Z, Y
% 0.90/1.54 ), ! c_Rings_Odvd__class_Odvd( X, Z, T ), c_Rings_Odvd__class_Odvd( X, Z
% 0.90/1.54 , c_Divides_Odiv__class_Omod( X, Y, T ) ) }.
% 0.90/1.54 { ! class_Divides_Osemiring__div( X ), ! c_Rings_Odvd__class_Odvd( X, Z, Y
% 0.90/1.54 ), c_Divides_Odiv__class_Omod( X, c_Divides_Odiv__class_Omod( X, T, Y )
% 0.90/1.54 , Z ) = c_Divides_Odiv__class_Omod( X, T, Z ) }.
% 0.90/1.54 { ! class_Divides_Osemiring__div( X ), ! c_Rings_Odvd__class_Odvd( X, Z, Y
% 0.90/1.54 ), ! c_Rings_Odvd__class_Odvd( X, Z, c_Divides_Odiv__class_Omod( X, T, Y
% 0.90/1.54 ) ), c_Rings_Odvd__class_Odvd( X, Z, T ) }.
% 0.90/1.54 { ! class_Divides_Osemiring__div( X ), ! c_Rings_Odvd__class_Odvd( X, Z, Y
% 0.90/1.54 ), ! c_Rings_Odvd__class_Odvd( X, Z, T ), c_Rings_Odvd__class_Odvd( X, Z
% 0.90/1.54 , c_Divides_Odiv__class_Omod( X, T, Y ) ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), ! c_Rings_Odvd__class_Odvd(
% 0.90/1.54 tc_Polynomial_Opoly( X ), c_Polynomial_Osmult( X, T, Z ), Y ), alpha23( X
% 0.90/1.54 , Y, T ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), ! c_Rings_Odvd__class_Odvd(
% 0.90/1.54 tc_Polynomial_Opoly( X ), c_Polynomial_Osmult( X, T, Z ), Y ), alpha46( X
% 0.90/1.54 , Y, Z, T ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), ! alpha23( X, Y, T ), ! alpha46( X, Y, Z, T )
% 0.90/1.54 , c_Rings_Odvd__class_Odvd( tc_Polynomial_Opoly( X ), c_Polynomial_Osmult
% 0.90/1.54 ( X, T, Z ), Y ) }.
% 0.90/1.54 { ! alpha46( X, Y, Z, T ), T = c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Polynomial_Opoly( X ), Z, Y ) }.
% 0.90/1.54 { ! T = c_Groups_Ozero__class_Ozero( X ), alpha46( X, Y, Z, T ) }.
% 0.90/1.54 { ! c_Rings_Odvd__class_Odvd( tc_Polynomial_Opoly( X ), Z, Y ), alpha46( X
% 0.90/1.54 , Y, Z, T ) }.
% 0.90/1.54 { ! alpha23( X, Y, Z ), ! Z = c_Groups_Ozero__class_Ozero( X ), Y =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { Z = c_Groups_Ozero__class_Ozero( X ), alpha23( X, Y, Z ) }.
% 0.90/1.54 { ! Y = c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), alpha23( X
% 0.90/1.54 , Y, Z ) }.
% 0.90/1.54 { ! class_Rings_Oidom( X ), ! c_Rings_Odvd__class_Odvd( tc_Polynomial_Opoly
% 0.90/1.54 ( X ), Z, Y ), Y = c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X )
% 0.90/1.54 ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Polynomial_Odegree
% 0.90/1.54 ( X, Z ), c_Polynomial_Odegree( X, Y ) ) }.
% 0.90/1.54 { ! class_Rings_Oidom( X ), ! c_Rings_Odvd__class_Odvd( tc_Polynomial_Opoly
% 0.90/1.54 ( X ), c_Polynomial_OpCons( X, Z, c_Polynomial_OpCons( X,
% 0.90/1.54 c_Groups_Oone__class_Oone( X ), c_Groups_Ozero__class_Ozero(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) ) ), Y ), hAPP( c_Polynomial_Opoly( X, Y ),
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, Z ) ) = c_Groups_Ozero__class_Ozero(
% 0.90/1.54 X ) }.
% 0.90/1.54 { ! class_Rings_Oidom( X ), ! hAPP( c_Polynomial_Opoly( X, Y ),
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, Z ) ) = c_Groups_Ozero__class_Ozero(
% 0.90/1.54 X ), c_Rings_Odvd__class_Odvd( tc_Polynomial_Opoly( X ),
% 0.90/1.54 c_Polynomial_OpCons( X, Z, c_Polynomial_OpCons( X,
% 0.90/1.54 c_Groups_Oone__class_Oone( X ), c_Groups_Ozero__class_Ozero(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) ) ), Y ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__ring( X ), ! class_Rings_Odvd( X ), !
% 0.90/1.54 c_Rings_Odvd__class_Odvd( X, Z, Y ), ! c_Rings_Odvd__class_Odvd( X, Z,
% 0.90/1.54 c_Groups_Oplus__class_Oplus( X, U, T ) ), c_Rings_Odvd__class_Odvd( X, Z
% 0.90/1.54 , c_Groups_Oplus__class_Oplus( X, c_Groups_Ominus__class_Ominus( X, U,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, W, Y ) ), T ) ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__ring( X ), ! class_Rings_Odvd( X ), !
% 0.90/1.54 c_Rings_Odvd__class_Odvd( X, Z, Y ), ! c_Rings_Odvd__class_Odvd( X, Z,
% 0.90/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Ominus__class_Ominus( X, U,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, W, Y ) ), T ) ),
% 0.90/1.54 c_Rings_Odvd__class_Odvd( X, Z, c_Groups_Oplus__class_Oplus( X, U, T ) )
% 0.90/1.54 }.
% 0.90/1.54 { ! class_Rings_Ocomm__ring( X ), ! class_Rings_Odvd( X ), !
% 0.90/1.54 c_Rings_Odvd__class_Odvd( X, Z, Y ), ! c_Rings_Odvd__class_Odvd( X, Z,
% 0.90/1.54 c_Groups_Oplus__class_Oplus( X, U, T ) ), c_Rings_Odvd__class_Odvd( X, Z
% 0.90/1.54 , c_Groups_Oplus__class_Oplus( X, c_Groups_Ominus__class_Ominus( X, U,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, W, Y ) ), T ) ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__ring( X ), ! class_Rings_Odvd( X ), !
% 0.90/1.54 c_Rings_Odvd__class_Odvd( X, Z, Y ), ! c_Rings_Odvd__class_Odvd( X, Z,
% 0.90/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Ominus__class_Ominus( X, U,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, W, Y ) ), T ) ),
% 0.90/1.54 c_Rings_Odvd__class_Odvd( X, Z, c_Groups_Oplus__class_Oplus( X, U, T ) )
% 0.90/1.54 }.
% 0.90/1.54 { c_Rings_Odvd__class_Odvd( tc_Nat_Onat, c_Nat_OSuc(
% 0.90/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ) }.
% 0.90/1.54 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), !
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, Z ), c_Rings_Odvd__class_Odvd(
% 0.90/1.54 tc_Nat_Onat, Y, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z ) ) }.
% 0.90/1.54 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Z, c_Groups_Ominus__class_Ominus
% 0.90/1.54 ( tc_Nat_Onat, Y, X ) ), ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Z, X )
% 0.90/1.54 , ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Y ),
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Z, Y ) }.
% 0.90/1.54 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Z, c_Groups_Ominus__class_Ominus
% 0.90/1.54 ( tc_Nat_Onat, Y, X ) ), ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Z, Y )
% 0.90/1.54 , ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Y ),
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Z, X ) }.
% 0.90/1.54 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, c_Nat_OSuc(
% 0.90/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), X = c_Nat_OSuc(
% 0.90/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.90/1.54 { ! X = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, c_Nat_OSuc(
% 0.90/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.54 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y
% 0.90/1.54 ), ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ) }.
% 0.90/1.54 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.54 tc_Nat_Onat, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) )
% 0.90/1.54 , Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ) }.
% 0.90/1.54 { ! Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.54 tc_Nat_Onat, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) )
% 0.90/1.54 }.
% 0.90/1.54 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), c_Rings_Odvd__class_Odvd
% 0.90/1.54 ( tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.90/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.90/1.54 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, c_Groups_Oone__class_Oone(
% 0.90/1.54 tc_Nat_Onat ) ), X = c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.90/1.54 { ! X = c_Groups_Oone__class_Oone( tc_Nat_Onat ), c_Rings_Odvd__class_Odvd
% 0.90/1.54 ( tc_Nat_Onat, X, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) }.
% 0.90/1.54 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, c_Groups_Oplus__class_Oplus(
% 0.90/1.54 tc_Nat_Onat, X, Y ) ), c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ) }.
% 0.90/1.54 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), c_Rings_Odvd__class_Odvd
% 0.90/1.54 ( tc_Nat_Onat, Y, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) }.
% 0.90/1.54 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), !
% 0.90/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.90/1.54 tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X
% 0.90/1.54 ) }.
% 0.90/1.54 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.54 tc_Nat_Onat, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) )
% 0.90/1.54 , ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Z ), c_Rings_Odvd__class_Odvd
% 0.90/1.54 ( tc_Nat_Onat, Y, X ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.54 ( tc_Nat_Onat ), X ), ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 0.90/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Z, Y ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.54 ( tc_Nat_Onat ), X ), ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Z, Y ),
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.54 tc_Nat_Onat, X, Z ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) )
% 0.90/1.54 }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.54 ( tc_Nat_Onat ), X ), ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ), X ), Y =
% 0.90/1.54 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.54 ( tc_Nat_Onat ), X ), ! Y = c_Groups_Oone__class_Oone( tc_Nat_Onat ),
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.54 tc_Nat_Onat, X, Y ), X ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.54 ( tc_Nat_Onat ), X ), ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ), X ), Y =
% 0.90/1.54 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.90/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.90/1.54 ( tc_Nat_Onat ), X ), ! Y = c_Groups_Oone__class_Oone( tc_Nat_Onat ),
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.90/1.54 tc_Nat_Onat, Y, X ), X ) }.
% 0.90/1.54 { ! class_Rings_Odvd( X ), ! class_Rings_Osemiring__0( X ), ! hBOOL( hAPP(
% 0.90/1.54 Z, c_Groups_Otimes__class_Otimes( X, Y, T ) ) ), hBOOL( hAPP( Z, skol19(
% 0.90/1.54 U, W, Z ) ) ) }.
% 0.90/1.54 { ! class_Rings_Odvd( X ), ! class_Rings_Osemiring__0( X ), ! hBOOL( hAPP(
% 0.90/1.54 Z, c_Groups_Otimes__class_Otimes( X, Y, T ) ) ), c_Rings_Odvd__class_Odvd
% 0.90/1.54 ( X, Y, c_Groups_Oplus__class_Oplus( X, skol19( X, Y, Z ),
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) ) ) }.
% 0.90/1.54 { ! class_Rings_Odvd( X ), ! class_Rings_Osemiring__0( X ), !
% 0.90/1.54 c_Rings_Odvd__class_Odvd( X, Y, c_Groups_Oplus__class_Oplus( X, T,
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) ) ), ! hBOOL( hAPP( Z, T ) ), hBOOL(
% 0.90/1.54 hAPP( Z, c_Groups_Otimes__class_Otimes( X, Y, skol22( X, Y, Z ) ) ) ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), ! c_Rings_Odvd__class_Odvd(
% 0.90/1.54 tc_Polynomial_Opoly( X ), Z, Y ), alpha66( X, Y, Z, T ), ! Y =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), ! T =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ),
% 0.90/1.54 c_Polynomial_Opoly__gcd( X, Y, T ) = Z }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), ! c_Rings_Odvd__class_Odvd(
% 0.90/1.54 tc_Polynomial_Opoly( X ), Z, Y ), alpha66( X, Y, Z, T ), ! hAPP(
% 0.90/1.54 c_Polynomial_Ocoeff( X, Z ), c_Polynomial_Odegree( X, Z ) ) =
% 0.90/1.54 c_Groups_Oone__class_Oone( X ), c_Polynomial_Opoly__gcd( X, Y, T ) = Z }
% 0.90/1.54 .
% 0.90/1.54 { ! alpha66( X, Y, Z, T ), alpha67( X, Y, Z, T ), alpha64( X, Y, T ) }.
% 0.90/1.54 { ! alpha66( X, Y, Z, T ), alpha67( X, Y, Z, T ), ! hAPP(
% 0.90/1.54 c_Polynomial_Ocoeff( X, Z ), c_Polynomial_Odegree( X, Z ) ) =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( X ) }.
% 0.90/1.54 { ! alpha67( X, Y, Z, T ), alpha66( X, Y, Z, T ) }.
% 0.90/1.54 { ! alpha64( X, Y, T ), hAPP( c_Polynomial_Ocoeff( X, Z ),
% 0.90/1.54 c_Polynomial_Odegree( X, Z ) ) = c_Groups_Ozero__class_Ozero( X ),
% 0.90/1.54 alpha66( X, Y, Z, T ) }.
% 0.90/1.54 { ! alpha67( X, Y, Z, T ), ! c_Rings_Odvd__class_Odvd( tc_Polynomial_Opoly
% 0.90/1.54 ( X ), Z, T ), alpha68( X, Y, Z, T ) }.
% 0.90/1.54 { c_Rings_Odvd__class_Odvd( tc_Polynomial_Opoly( X ), Z, T ), alpha67( X, Y
% 0.90/1.54 , Z, T ) }.
% 0.90/1.54 { ! alpha68( X, Y, Z, T ), alpha67( X, Y, Z, T ) }.
% 0.90/1.54 { ! alpha68( X, Y, Z, T ), c_Rings_Odvd__class_Odvd( tc_Polynomial_Opoly( X
% 0.90/1.54 ), skol20( X, Y, U, W ), Y ) }.
% 0.90/1.54 { ! alpha68( X, Y, Z, T ), c_Rings_Odvd__class_Odvd( tc_Polynomial_Opoly( X
% 0.90/1.54 ), skol20( X, Y, U, T ), T ) }.
% 0.90/1.54 { ! alpha68( X, Y, Z, T ), ! c_Rings_Odvd__class_Odvd( tc_Polynomial_Opoly
% 0.90/1.54 ( X ), skol20( X, Y, Z, T ), Z ) }.
% 0.90/1.54 { ! c_Rings_Odvd__class_Odvd( tc_Polynomial_Opoly( X ), U, Y ), !
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Polynomial_Opoly( X ), U, T ),
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Polynomial_Opoly( X ), U, Z ), alpha68( X, Y
% 0.90/1.54 , Z, T ) }.
% 0.90/1.54 { ! alpha64( X, Y, Z ), Y = c_Groups_Ozero__class_Ozero(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! alpha64( X, Y, Z ), Z = c_Groups_Ozero__class_Ozero(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! Y = c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), ! Z =
% 0.90/1.54 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ), alpha64( X, Y, Z
% 0.90/1.54 ) }.
% 0.90/1.54 { ! class_Rings_Oidom( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ), c_Rings_Odvd__class_Odvd( tc_Polynomial_Opoly
% 0.90/1.54 ( X ), c_Power_Opower__class_Opower( tc_Polynomial_Opoly( X ),
% 0.90/1.54 c_Polynomial_OpCons( X, c_Groups_Ouminus__class_Ouminus( X, Z ),
% 0.90/1.54 c_Polynomial_OpCons( X, c_Groups_Oone__class_Oone( X ),
% 0.90/1.54 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ) ),
% 0.90/1.54 c_Polynomial_Oorder( X, Z, Y ) ), Y ) }.
% 0.90/1.54 { ! class_Rings_Oidom( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ), ! c_Rings_Odvd__class_Odvd(
% 0.90/1.54 tc_Polynomial_Opoly( X ), c_Power_Opower__class_Opower(
% 0.90/1.54 tc_Polynomial_Opoly( X ), c_Polynomial_OpCons( X,
% 0.90/1.54 c_Groups_Ouminus__class_Ouminus( X, Z ), c_Polynomial_OpCons( X,
% 0.90/1.54 c_Groups_Oone__class_Oone( X ), c_Groups_Ozero__class_Ozero(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) ) ), c_Nat_OSuc( c_Polynomial_Oorder( X, Z, Y
% 0.90/1.54 ) ) ), Y ) }.
% 0.90/1.54 { c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, X ) }.
% 0.90/1.54 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), c_Rings_Odvd__class_Odvd
% 0.90/1.54 ( tc_Nat_Onat, X, Y ), ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Y ),
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ) }.
% 0.90/1.54 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), c_Rings_Odvd__class_Odvd
% 0.90/1.54 ( tc_Nat_Onat, X, Y ), ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Z ),
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Z, X ), c_Rings_Odvd__class_Odvd(
% 0.90/1.54 tc_Nat_Onat, Y, Z ) }.
% 0.90/1.54 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), c_Rings_Odvd__class_Odvd
% 0.90/1.54 ( tc_Nat_Onat, X, Y ), ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Z ),
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Z, X ), ! c_Rings_Odvd__class_Odvd
% 0.90/1.54 ( tc_Nat_Onat, Z, Y ) }.
% 0.90/1.54 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), c_Rings_Odvd__class_Odvd
% 0.90/1.54 ( tc_Nat_Onat, X, Y ), ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Y ),
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ) }.
% 0.90/1.54 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), c_Rings_Odvd__class_Odvd
% 0.90/1.54 ( tc_Nat_Onat, X, Y ), ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Z ),
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, Z ) }.
% 0.90/1.54 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), c_Rings_Odvd__class_Odvd
% 0.90/1.54 ( tc_Nat_Onat, X, Y ), ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Z ), !
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Z, Y ) }.
% 0.90/1.54 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), c_Rings_Odvd__class_Odvd
% 0.90/1.54 ( tc_Nat_Onat, X, Y ), ! X = Z, c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y
% 0.90/1.54 , Z ) }.
% 0.90/1.54 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), c_Rings_Odvd__class_Odvd
% 0.90/1.54 ( tc_Nat_Onat, X, Y ), ! X = Z, ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat,
% 0.90/1.54 Z, Y ) }.
% 0.90/1.54 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), c_Rings_Odvd__class_Odvd
% 0.90/1.54 ( tc_Nat_Onat, X, Y ), ! X = Y }.
% 0.90/1.54 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), c_Rings_Odvd__class_Odvd
% 0.90/1.54 ( tc_Nat_Onat, X, Y ), ! Y = X }.
% 0.90/1.54 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), c_Rings_Odvd__class_Odvd
% 0.90/1.54 ( tc_Nat_Onat, X, Y ), ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Y ),
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ) }.
% 0.90/1.54 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), c_Rings_Odvd__class_Odvd
% 0.90/1.54 ( tc_Nat_Onat, X, Y ), c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ) }.
% 0.90/1.54 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), c_Rings_Odvd__class_Odvd
% 0.90/1.54 ( tc_Nat_Onat, X, Y ), ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Y ),
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ) }.
% 0.90/1.54 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), c_Rings_Odvd__class_Odvd
% 0.90/1.54 ( tc_Nat_Onat, X, Y ), ! Y = X }.
% 0.90/1.54 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), !
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Z ), c_Rings_Odvd__class_Odvd(
% 0.90/1.54 tc_Nat_Onat, Z, X ), c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, Z ) }.
% 0.90/1.54 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), !
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Z ), c_Rings_Odvd__class_Odvd(
% 0.90/1.54 tc_Nat_Onat, Z, X ), ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Z, Y ) }.
% 0.90/1.54 { ! Y = X, ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Z ),
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Z, X ), c_Rings_Odvd__class_Odvd(
% 0.90/1.54 tc_Nat_Onat, Y, Z ) }.
% 0.90/1.54 { ! Y = X, ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Z ),
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Z, X ), ! c_Rings_Odvd__class_Odvd
% 0.90/1.54 ( tc_Nat_Onat, Z, Y ) }.
% 0.90/1.54 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), !
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Z ), c_Rings_Odvd__class_Odvd(
% 0.90/1.54 tc_Nat_Onat, Y, Z ) }.
% 0.90/1.54 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), !
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Y ), Y = X }.
% 0.90/1.54 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), !
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Y ), Y = X }.
% 0.90/1.54 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), ! X = Z,
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, Z ) }.
% 0.90/1.54 { ! Y = X, ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Z ),
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, Z ) }.
% 0.90/1.54 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), Y = X,
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ) }.
% 0.90/1.54 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), Y = X, !
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Y ) }.
% 0.90/1.54 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), c_Rings_Odvd__class_Odvd
% 0.90/1.54 ( tc_Nat_Onat, Y, X ), Y = X }.
% 0.90/1.54 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), !
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Y ), Y = X }.
% 0.90/1.54 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), !
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Y ), X = Y }.
% 0.90/1.54 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), ! X = Y,
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Y ) }.
% 0.90/1.54 { ! Y = X, c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ) }.
% 0.90/1.54 { Y = X, ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ),
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ) }.
% 0.90/1.54 { Y = X, ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), !
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Y ) }.
% 0.90/1.54 { ! alpha24( X, Y ), c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ) }.
% 0.90/1.54 { ! alpha24( X, Y ), ! Y = X }.
% 0.90/1.54 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), Y = X, alpha24( X, Y ) }
% 0.90/1.54 .
% 0.90/1.54 { ! alpha24( X, Y ), c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ) }.
% 0.90/1.54 { ! alpha24( X, Y ), ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Y ) }.
% 0.90/1.54 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), c_Rings_Odvd__class_Odvd
% 0.90/1.54 ( tc_Nat_Onat, X, Y ), alpha24( X, Y ) }.
% 0.90/1.54 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), alpha25( X, Y ), Y = X }
% 0.90/1.54 .
% 0.90/1.54 { ! alpha25( X, Y ), c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ) }.
% 0.90/1.54 { ! Y = X, c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ) }.
% 0.90/1.54 { ! alpha25( X, Y ), c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ) }.
% 0.90/1.54 { ! alpha25( X, Y ), ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Y ) }.
% 0.90/1.54 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), c_Rings_Odvd__class_Odvd
% 0.90/1.54 ( tc_Nat_Onat, X, Y ), alpha25( X, Y ) }.
% 0.90/1.54 { ! Y = X, c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ) }.
% 0.90/1.54 { ! Y = X, c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Y ) }.
% 0.90/1.54 { ! c_Rings_Odvd__class_Odvd( tc_Nat_Onat, Y, X ), !
% 0.90/1.54 c_Rings_Odvd__class_Odvd( tc_Nat_Onat, X, Y ), Y = X }.
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Orderings_Oord__class_Oless__eq
% 0.90/1.54 ( tc_Nat_Onat, c_Polynomial_Odegree( X, c_Power_Opower__class_Opower(
% 0.90/1.54 tc_Polynomial_Opoly( X ), Z, Y ) ), c_Groups_Otimes__class_Otimes(
% 0.90/1.54 tc_Nat_Onat, c_Polynomial_Odegree( X, Z ), Y ) ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Power_Opower__class_Opower( X, Y
% 0.90/1.54 , c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) = Y }.
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Power_Opower__class_Opower( X,
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.90/1.54 c_Groups_Otimes__class_Otimes( X, c_Power_Opower__class_Opower( X, T, Y )
% 0.90/1.54 , c_Power_Opower__class_Opower( X, Z, Y ) ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Power_Opower__class_Opower( X,
% 0.90/1.54 c_Power_Opower__class_Opower( X, T, Z ), Y ) =
% 0.90/1.54 c_Power_Opower__class_Opower( X, T, c_Groups_Otimes__class_Otimes(
% 0.90/1.54 tc_Nat_Onat, Z, Y ) ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( c_Polynomial_Opoly( X,
% 0.90/1.54 c_Power_Opower__class_Opower( tc_Polynomial_Opoly( X ), T, Z ) ), Y ) =
% 0.90/1.54 c_Power_Opower__class_Opower( X, hAPP( c_Polynomial_Opoly( X, T ), Y ), Z
% 0.90/1.54 ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.54 c_Power_Opower__class_Opower( X, T, Z ), c_Power_Opower__class_Opower( X
% 0.90/1.54 , T, Y ) ) = c_Power_Opower__class_Opower( X, T,
% 0.90/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Power_Opower__class_Opower( X, Y
% 0.90/1.54 , c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 0.90/1.54 c_Groups_Oone__class_Oone( X ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.54 c_Power_Opower__class_Opower( X, Z, Y ), Z ) =
% 0.90/1.54 c_Power_Opower__class_Opower( X, Z, c_Nat_OSuc( Y ) ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.90/1.54 Z, c_Power_Opower__class_Opower( X, Z, Y ) ) =
% 0.90/1.54 c_Power_Opower__class_Opower( X, Z, c_Nat_OSuc( Y ) ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Power_Opower__class_Opower( X, Z
% 0.90/1.54 , c_Nat_OSuc( Y ) ) = c_Groups_Otimes__class_Otimes( X, Z,
% 0.90/1.54 c_Power_Opower__class_Opower( X, Z, Y ) ) }.
% 0.90/1.54 { ! class_Groups_Ocancel__comm__monoid__add( X ),
% 0.90/1.54 class_Groups_Ocancel__comm__monoid__add( tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { class_Groups_Ocancel__comm__monoid__add( tc_Complex_Ocomplex ) }.
% 0.90/1.54 { class_Groups_Ocancel__comm__monoid__add( tc_Nat_Onat ) }.
% 0.90/1.54 { ! class_Lattices_Oboolean__algebra( X ), class_Lattices_Oboolean__algebra
% 0.90/1.54 ( tc_fun( Y, X ) ) }.
% 0.90/1.54 { ! class_Orderings_Opreorder( X ), class_Orderings_Opreorder( tc_fun( Y, X
% 0.90/1.54 ) ) }.
% 0.90/1.54 { ! class_Orderings_Oorder( X ), class_Orderings_Oorder( tc_fun( Y, X ) ) }
% 0.90/1.54 .
% 0.90/1.54 { ! class_Orderings_Oord( X ), class_Orderings_Oord( tc_fun( Y, X ) ) }.
% 0.90/1.54 { ! class_Groups_Ouminus( X ), class_Groups_Ouminus( tc_fun( Y, X ) ) }.
% 0.90/1.54 { ! class_Groups_Ominus( X ), class_Groups_Ominus( tc_fun( Y, X ) ) }.
% 0.90/1.54 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.90/1.54 tc_Nat_Onat ) }.
% 0.90/1.54 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.90/1.54 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Nat_Onat ) }.
% 0.90/1.54 { class_Rings_Olinordered__comm__semiring__strict( tc_Nat_Onat ) }.
% 0.90/1.54 { class_Rings_Olinordered__semiring__strict( tc_Nat_Onat ) }.
% 0.90/1.54 { class_Groups_Oordered__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.90/1.54 { class_Groups_Oordered__comm__monoid__add( tc_Nat_Onat ) }.
% 0.90/1.54 { class_Groups_Ocancel__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.90/1.54 { class_Rings_Oordered__cancel__semiring( tc_Nat_Onat ) }.
% 0.90/1.54 { class_Rings_Oordered__comm__semiring( tc_Nat_Onat ) }.
% 0.90/1.54 { class_Groups_Ocancel__semigroup__add( tc_Nat_Onat ) }.
% 0.90/1.54 { class_Rings_Olinordered__semiring( tc_Nat_Onat ) }.
% 0.90/1.54 { class_Rings_Olinordered__semidom( tc_Nat_Onat ) }.
% 0.90/1.54 { class_Groups_Oab__semigroup__mult( tc_Nat_Onat ) }.
% 0.90/1.54 { class_Groups_Ocomm__monoid__mult( tc_Nat_Onat ) }.
% 0.90/1.54 { class_Groups_Oab__semigroup__add( tc_Nat_Onat ) }.
% 0.90/1.54 { class_Rings_Oordered__semiring( tc_Nat_Onat ) }.
% 0.90/1.54 { class_Rings_Ono__zero__divisors( tc_Nat_Onat ) }.
% 0.90/1.54 { class_Groups_Ocomm__monoid__add( tc_Nat_Onat ) }.
% 0.90/1.54 { class_Rings_Ocomm__semiring__1( tc_Nat_Onat ) }.
% 0.90/1.54 { class_Rings_Ocomm__semiring__0( tc_Nat_Onat ) }.
% 0.90/1.54 { class_Divides_Osemiring__div( tc_Nat_Onat ) }.
% 0.90/1.54 { class_Rings_Ocomm__semiring( tc_Nat_Onat ) }.
% 0.90/1.54 { class_Rings_Ozero__neq__one( tc_Nat_Onat ) }.
% 0.90/1.54 { class_Orderings_Opreorder( tc_Nat_Onat ) }.
% 0.90/1.54 { class_Orderings_Olinorder( tc_Nat_Onat ) }.
% 0.90/1.54 { class_Groups_Omonoid__mult( tc_Nat_Onat ) }.
% 0.90/1.54 { class_Groups_Omonoid__add( tc_Nat_Onat ) }.
% 0.90/1.54 { class_Rings_Osemiring__0( tc_Nat_Onat ) }.
% 0.90/1.54 { class_Rings_Omult__zero( tc_Nat_Onat ) }.
% 0.90/1.54 { class_Orderings_Oorder( tc_Nat_Onat ) }.
% 0.90/1.54 { class_Rings_Osemiring( tc_Nat_Onat ) }.
% 0.90/1.54 { class_Orderings_Oord( tc_Nat_Onat ) }.
% 0.90/1.54 { class_Groups_Ominus( tc_Nat_Onat ) }.
% 0.90/1.54 { class_Groups_Ozero( tc_Nat_Onat ) }.
% 0.90/1.54 { class_Groups_Oone( tc_Nat_Onat ) }.
% 0.90/1.54 { class_Rings_Odvd( tc_Nat_Onat ) }.
% 0.90/1.54 { class_Lattices_Oboolean__algebra( tc_HOL_Obool ) }.
% 0.90/1.54 { class_Orderings_Opreorder( tc_HOL_Obool ) }.
% 0.90/1.54 { class_Orderings_Oorder( tc_HOL_Obool ) }.
% 0.90/1.54 { class_Orderings_Oord( tc_HOL_Obool ) }.
% 0.90/1.54 { class_Groups_Ouminus( tc_HOL_Obool ) }.
% 0.90/1.54 { class_Groups_Ominus( tc_HOL_Obool ) }.
% 0.90/1.54 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.90/1.54 tc_Complex_Ocomplex ) }.
% 0.90/1.54 { class_RealVector_Oreal__normed__div__algebra( tc_Complex_Ocomplex ) }.
% 0.90/1.54 { class_Rings_Odivision__ring__inverse__zero( tc_Complex_Ocomplex ) }.
% 0.90/1.54 { class_RealVector_Oreal__normed__algebra__1( tc_Complex_Ocomplex ) }.
% 0.90/1.54 { class_RealVector_Oreal__normed__algebra( tc_Complex_Ocomplex ) }.
% 0.90/1.54 { class_Groups_Ocancel__ab__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.90/1.54 { class_Rings_Oring__1__no__zero__divisors( tc_Complex_Ocomplex ) }.
% 0.90/1.54 { class_RealVector_Oreal__normed__vector( tc_Complex_Ocomplex ) }.
% 0.90/1.54 { class_RealVector_Oreal__normed__field( tc_Complex_Ocomplex ) }.
% 0.90/1.54 { class_Rings_Oring__no__zero__divisors( tc_Complex_Ocomplex ) }.
% 0.90/1.54 { class_Groups_Ocancel__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.90/1.54 { class_Fields_Ofield__inverse__zero( tc_Complex_Ocomplex ) }.
% 0.90/1.54 { class_Groups_Oab__semigroup__mult( tc_Complex_Ocomplex ) }.
% 0.90/1.54 { class_Groups_Ocomm__monoid__mult( tc_Complex_Ocomplex ) }.
% 0.90/1.54 { class_Groups_Oab__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.90/1.54 { class_Rings_Ono__zero__divisors( tc_Complex_Ocomplex ) }.
% 0.90/1.54 { class_Groups_Ocomm__monoid__add( tc_Complex_Ocomplex ) }.
% 0.90/1.54 { class_Rings_Ocomm__semiring__1( tc_Complex_Ocomplex ) }.
% 0.90/1.54 { class_Rings_Ocomm__semiring__0( tc_Complex_Ocomplex ) }.
% 0.90/1.54 { class_RealVector_Oreal__field( tc_Complex_Ocomplex ) }.
% 0.90/1.54 { class_Rings_Odivision__ring( tc_Complex_Ocomplex ) }.
% 0.90/1.54 { class_Rings_Ocomm__semiring( tc_Complex_Ocomplex ) }.
% 0.90/1.54 { class_Groups_Oab__group__add( tc_Complex_Ocomplex ) }.
% 0.90/1.54 { class_Rings_Ozero__neq__one( tc_Complex_Ocomplex ) }.
% 0.90/1.54 { class_Groups_Omonoid__mult( tc_Complex_Ocomplex ) }.
% 0.90/1.54 { class_Rings_Ocomm__ring__1( tc_Complex_Ocomplex ) }.
% 0.90/1.54 { class_Groups_Omonoid__add( tc_Complex_Ocomplex ) }.
% 0.90/1.54 { class_Rings_Osemiring__0( tc_Complex_Ocomplex ) }.
% 0.90/1.54 { class_Groups_Ogroup__add( tc_Complex_Ocomplex ) }.
% 0.90/1.54 { class_Rings_Omult__zero( tc_Complex_Ocomplex ) }.
% 0.90/1.54 { class_Rings_Ocomm__ring( tc_Complex_Ocomplex ) }.
% 0.90/1.54 { class_Int_Oring__char__0( tc_Complex_Ocomplex ) }.
% 0.90/1.54 { class_Rings_Osemiring( tc_Complex_Ocomplex ) }.
% 0.90/1.54 { class_Groups_Ouminus( tc_Complex_Ocomplex ) }.
% 0.90/1.54 { class_Rings_Oring__1( tc_Complex_Ocomplex ) }.
% 0.90/1.54 { class_Groups_Ominus( tc_Complex_Ocomplex ) }.
% 0.90/1.54 { class_Fields_Ofield( tc_Complex_Ocomplex ) }.
% 0.90/1.54 { class_Groups_Ozero( tc_Complex_Ocomplex ) }.
% 0.90/1.54 { class_Rings_Oring( tc_Complex_Ocomplex ) }.
% 0.90/1.54 { class_Rings_Oidom( tc_Complex_Ocomplex ) }.
% 0.90/1.54 { class_Groups_Oone( tc_Complex_Ocomplex ) }.
% 0.90/1.54 { class_Rings_Odvd( tc_Complex_Ocomplex ) }.
% 0.90/1.54 { ! class_Rings_Oidom( X ),
% 0.90/1.54 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ),
% 0.90/1.54 class_Groups_Oordered__cancel__ab__semigroup__add( tc_Polynomial_Opoly( X
% 0.90/1.54 ) ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ),
% 0.90/1.54 class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Polynomial_Opoly(
% 0.90/1.54 X ) ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ),
% 0.90/1.54 class_Rings_Olinordered__comm__semiring__strict( tc_Polynomial_Opoly( X )
% 0.90/1.54 ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ),
% 0.90/1.54 class_Rings_Olinordered__semiring__1__strict( tc_Polynomial_Opoly( X ) )
% 0.90/1.54 }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ),
% 0.90/1.54 class_Rings_Olinordered__semiring__strict( tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ),
% 0.90/1.54 class_Groups_Oordered__ab__semigroup__add( tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ),
% 0.90/1.54 class_Groups_Oordered__comm__monoid__add( tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ),
% 0.90/1.54 class_Groups_Olinordered__ab__group__add( tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Groups_Ocancel__comm__monoid__add( X ),
% 0.90/1.54 class_Groups_Ocancel__ab__semigroup__add( tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Rings_Oidom( X ), class_Rings_Oring__1__no__zero__divisors(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ),
% 0.90/1.54 class_Rings_Oordered__cancel__semiring( tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ),
% 0.90/1.54 class_Rings_Olinordered__ring__strict( tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Rings_Oidom( X ), class_Rings_Oring__no__zero__divisors(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ),
% 0.90/1.54 class_Rings_Oordered__comm__semiring( tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ),
% 0.90/1.54 class_Rings_Olinordered__semiring__1( tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ),
% 0.90/1.54 class_Groups_Oordered__ab__group__add( tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Groups_Ocancel__comm__monoid__add( X ),
% 0.90/1.54 class_Groups_Ocancel__semigroup__add( tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ), class_Rings_Olinordered__semiring(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ), class_Rings_Olinordered__semidom(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__0( X ), class_Groups_Oab__semigroup__mult
% 0.90/1.54 ( tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__1( X ), class_Groups_Ocomm__monoid__mult(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Groups_Ocomm__monoid__add( X ), class_Groups_Oab__semigroup__add
% 0.90/1.54 ( tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ), class_Rings_Oordered__semiring(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Rings_Oidom( X ), class_Rings_Ono__zero__divisors(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Groups_Ocomm__monoid__add( X ), class_Groups_Ocomm__monoid__add(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ), class_Rings_Olinordered__ring(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ), class_Rings_Olinordered__idom(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__1( X ), class_Rings_Ocomm__semiring__1(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__0( X ), class_Rings_Ocomm__semiring__0(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), class_Divides_Osemiring__div(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__0( X ), class_Rings_Ocomm__semiring(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Groups_Oab__group__add( X ), class_Groups_Oab__group__add(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__1( X ), class_Rings_Ozero__neq__one(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ), class_Rings_Oordered__ring(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ), class_Orderings_Opreorder(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ), class_Orderings_Olinorder(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__1( X ), class_Groups_Omonoid__mult(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__ring__1( X ), class_Rings_Ocomm__ring__1(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Groups_Ocomm__monoid__add( X ), class_Groups_Omonoid__add(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__0( X ), class_Rings_Osemiring__0(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Groups_Oab__group__add( X ), class_Groups_Ogroup__add(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Fields_Ofield( X ), class_Divides_Oring__div( tc_Polynomial_Opoly
% 0.90/1.54 ( X ) ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__0( X ), class_Rings_Omult__zero(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__ring( X ), class_Rings_Ocomm__ring(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ), class_Orderings_Oorder(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ), class_Int_Oring__char__0(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__0( X ), class_Rings_Osemiring(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ), class_Orderings_Oord(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Groups_Oab__group__add( X ), class_Groups_Ouminus(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Rings_Olinordered__idom( X ), class_Groups_Osgn__if(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__ring__1( X ), class_Rings_Oring__1(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Groups_Oab__group__add( X ), class_Groups_Ominus(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Groups_Ozero( X ), class_Groups_Ozero( tc_Polynomial_Opoly( X ) )
% 0.90/1.54 }.
% 0.90/1.54 { ! class_Rings_Ocomm__ring( X ), class_Rings_Oring( tc_Polynomial_Opoly( X
% 0.90/1.54 ) ) }.
% 0.90/1.54 { ! class_Rings_Oidom( X ), class_Rings_Oidom( tc_Polynomial_Opoly( X ) ) }
% 0.90/1.54 .
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__1( X ), class_Groups_Oone(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! class_Rings_Ocomm__semiring__1( X ), class_Rings_Odvd(
% 0.90/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.90/1.54 { ! hBOOL( c_fequal( Y, X ) ), Y = X }.
% 0.90/1.54 { ! Y = X, hBOOL( c_fequal( Y, X ) ) }.
% 0.90/1.54 { ! c_Fundamental__Theorem__Algebra__Mirabelle_Opsize( tc_Complex_Ocomplex
% 0.90/1.54 , X ) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(
% 0.90/1.54 tc_Complex_Ocomplex, v_p ), ! hAPP( c_Polynomial_Opoly(
% 0.90/1.54 tc_Complex_Ocomplex, X ), skol21( X ) ) = hAPP( c_Polynomial_Opoly(
% 0.90/1.54 tc_Complex_Ocomplex, v_p ), c_Groups_Oplus__class_Oplus(
% 0.90/1.54 tc_Complex_Ocomplex, v_a, skol21( X ) ) ) }.
% 0.90/1.54
% 0.90/1.54 *** allocated 15000 integers for clauses
% 0.90/1.54 *** allocated 22500 integers for clauses
% 0.90/1.55 *** allocated 33750 integers for clauses
% 0.90/1.55 *** allocated 50625 integers for clauses
% 0.90/1.55 *** allocated 75937 integers for clauses
% 0.90/1.55 percentage equality = 0.267424, percentage horn = 0.879243
% 0.90/1.55 This is a problem with some equality
% 0.90/1.55
% 0.90/1.55
% 0.90/1.55
% 0.90/1.55 Options Used:
% 0.90/1.55
% 0.90/1.55 useres = 1
% 0.90/1.55 useparamod = 1
% 0.90/1.55 useeqrefl = 1
% 0.90/1.55 useeqfact = 1
% 0.90/1.55 usefactor = 1
% 0.90/1.55 usesimpsplitting = 0
% 0.90/1.55 usesimpdemod = 5
% 0.90/1.55 usesimpres = 3
% 0.90/1.55
% 0.90/1.55 resimpinuse = 1000
% 0.90/1.55 resimpclauses = 20000
% 0.90/1.55 substype = eqrewr
% 0.90/1.55 backwardsubs = 1
% 0.90/1.55 selectoldest = 5
% 0.90/1.55
% 0.90/1.55 litorderings [0] = split
% 0.90/1.55 litorderings [1] = extend the termordering, first sorting on arguments
% 0.90/1.55
% 0.90/1.55 termordering = kbo
% 0.90/1.55
% 0.90/1.55 litapriori = 0
% 0.90/1.55 termapriori = 1
% 0.90/1.55 litaposteriori = 0
% 0.90/1.55 termaposteriori = 0
% 0.90/1.55 demodaposteriori = 0
% 0.90/1.55 ordereqreflfact = 0
% 0.90/1.55
% 0.90/1.55 litselect = negord
% 0.90/1.55
% 0.90/1.55 maxweight = 15
% 0.90/1.55 maxdepth = 30000
% 0.90/1.55 maxlength = 115
% 0.90/1.55 maxnrvars = 195
% 0.90/1.55 excuselevel = 1
% 0.90/1.55 increasemaxweight = 1
% 0.90/1.55
% 0.90/1.55 maxselected = 10000000
% 0.90/1.55 maxnrclauses = 10000000
% 0.90/1.55
% 0.90/1.55 showgenerated = 0
% 0.90/1.55 showkept = 0
% 0.90/1.55 showselected = 0
% 0.90/1.55 showdeleted = 0
% 0.90/1.55 showresimp = 1
% 0.90/1.55 showstatus = 2000
% 0.90/1.55
% 0.90/1.55 prologoutput = 0
% 0.90/1.55 nrgoals = 5000000
% 0.90/1.55 totalproof = 1
% 0.90/1.55
% 0.90/1.55 Symbols occurring in the translation:
% 0.90/1.55
% 0.90/1.55 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.90/1.55 . [1, 2] (w:1, o:181, a:1, s:1, b:0),
% 0.90/1.55 ! [4, 1] (w:0, o:95, a:1, s:1, b:0),
% 0.90/1.55 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.90/1.55 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.90/1.55 hAPP [38, 2] (w:1, o:205, a:1, s:1, b:0),
% 0.90/1.55 class_Rings_Ocomm__semiring__0 [43, 1] (w:1, o:102, a:1, s:1, b:0),
% 0.90/1.55 tc_Polynomial_Opoly [44, 1] (w:1, o:105, a:1, s:1, b:0),
% 0.90/1.55 c_Groups_Oplus__class_Oplus [45, 3] (w:1, o:235, a:1, s:1, b:0),
% 0.90/1.55 c_Polynomial_Opoly [46, 2] (w:1, o:206, a:1, s:1, b:0),
% 0.90/1.55 c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly [48, 3] (w:1
% 0.90/1.55 , o:234, a:1, s:1, b:0),
% 0.90/1.55 class_Int_Oring__char__0 [51, 1] (w:1, o:106, a:1, s:1, b:0),
% 0.90/1.55 class_Rings_Oidom [52, 1] (w:1, o:107, a:1, s:1, b:0),
% 0.90/1.55 class_Rings_Ocomm__semiring__1 [55, 1] (w:1, o:108, a:1, s:1, b:0),
% 0.90/1.55 class_Groups_Oab__semigroup__add [58, 1] (w:1, o:113, a:1, s:1, b:0)
% 0.90/1.55 ,
% 0.90/1.55 class_Groups_Ocancel__semigroup__add [62, 1] (w:1, o:114, a:1, s:1
% 0.90/1.55 , b:0),
% 0.90/1.55 class_Groups_Ocancel__ab__semigroup__add [63, 1] (w:1, o:115, a:1, s:
% 0.90/1.55 1, b:0),
% 0.90/1.55 c_Polynomial_Opcompose [64, 3] (w:1, o:240, a:1, s:1, b:0),
% 0.90/1.55 class_Groups_Ocomm__monoid__add [66, 1] (w:1, o:116, a:1, s:1, b:0),
% 0.90/1.55
% 0.90/1.55 c_Polynomial_Omonom [67, 3] (w:1, o:241, a:1, s:1, b:0),
% 0.90/1.55 class_Rings_Olinordered__idom [68, 1] (w:1, o:117, a:1, s:1, b:0),
% 0.90/1.55 c_Polynomial_Opos__poly [69, 2] (w:1, o:207, a:1, s:1, b:0),
% 0.90/1.55 c_Polynomial_Osmult [70, 3] (w:1, o:242, a:1, s:1, b:0),
% 0.90/1.55 c_Polynomial_Ocoeff [71, 2] (w:1, o:208, a:1, s:1, b:0),
% 0.90/1.55 c_Polynomial_OpCons [72, 3] (w:1, o:243, a:1, s:1, b:0),
% 0.90/1.55 c_Groups_Osemigroup [73, 2] (w:1, o:210, a:1, s:1, b:0),
% 0.90/1.55 c_Groups_Ocomm__monoid [75, 3] (w:1, o:244, a:1, s:1, b:0),
% 0.90/1.55 c_Groups_Ozero__class_Ozero [76, 1] (w:1, o:118, a:1, s:1, b:0),
% 0.90/1.55 class_Groups_Ozero [78, 1] (w:1, o:119, a:1, s:1, b:0),
% 0.90/1.55 class_Groups_Omonoid__add [84, 1] (w:1, o:121, a:1, s:1, b:0),
% 0.90/1.55 class_Groups_Olinordered__ab__group__add [85, 1] (w:1, o:120, a:1, s:
% 0.90/1.55 1, b:0),
% 0.90/1.55 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct [86
% 0.90/1.55 , 1] (w:1, o:153, a:1, s:1, b:0),
% 0.90/1.55 c_Polynomial_Osynthetic__div [88, 3] (w:1, o:245, a:1, s:1, b:0),
% 0.90/1.55 c_Polynomial_Oorder [89, 3] (w:1, o:239, a:1, s:1, b:0),
% 0.90/1.55 tc_Nat_Onat [90, 0] (w:1, o:58, a:1, s:1, b:0),
% 0.90/1.55 c_Polynomial_Opoly__rec [92, 5] (w:1, o:327, a:1, s:1, b:0),
% 0.90/1.55 c_Groups_Otimes__class_Otimes [93, 3] (w:1, o:246, a:1, s:1, b:0),
% 0.90/1.55 c_fequal [94, 2] (w:1, o:211, a:1, s:1, b:0),
% 0.90/1.55 c_If [95, 4] (w:1, o:297, a:1, s:1, b:0),
% 0.90/1.55 c_Orderings_Oord__class_Oless [96, 3] (w:1, o:237, a:1, s:1, b:0),
% 0.90/1.55 class_Groups_Oab__semigroup__mult [101, 1] (w:1, o:154, a:1, s:1, b:0
% 0.90/1.55 ),
% 0.90/1.55 class_Groups_Oordered__ab__semigroup__add__imp__le [102, 1] (w:1, o:
% 0.90/1.55 155, a:1, s:1, b:0),
% 0.90/1.55 class_Groups_Oordered__cancel__ab__semigroup__add [103, 1] (w:1, o:
% 0.90/1.55 156, a:1, s:1, b:0),
% 0.90/1.55 class_Groups_Oordered__comm__monoid__add [108, 1] (w:1, o:157, a:1
% 0.90/1.55 , s:1, b:0),
% 0.90/1.55 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize [109, 2] (w:1, o:
% 0.90/1.55 209, a:1, s:1, b:0),
% 0.90/1.55 class_Rings_Olinordered__ring__strict [110, 1] (w:1, o:122, a:1, s:1
% 0.90/1.55 , b:0),
% 0.90/1.55 class_Rings_Olinordered__ring [111, 1] (w:1, o:123, a:1, s:1, b:0),
% 0.90/1.55 class_Rings_Olinordered__semidom [112, 1] (w:1, o:124, a:1, s:1, b:0)
% 0.90/1.55 ,
% 0.90/1.55 class_Rings_Olinordered__comm__semiring__strict [113, 1] (w:1, o:125
% 0.90/1.55 , a:1, s:1, b:0),
% 0.90/1.55 class_Rings_Olinordered__semiring__strict [114, 1] (w:1, o:126, a:1
% 0.90/1.55 , s:1, b:0),
% 0.90/1.55 class_Rings_Ono__zero__divisors [115, 1] (w:1, o:131, a:1, s:1, b:0)
% 0.90/1.55 ,
% 0.90/1.55 class_Rings_Oring__no__zero__divisors [116, 1] (w:1, o:132, a:1, s:1
% 0.90/1.55 , b:0),
% 0.90/1.55 class_Rings_Omult__zero [117, 1] (w:1, o:130, a:1, s:1, b:0),
% 0.90/1.55 class_Rings_Ocomm__semiring [118, 1] (w:1, o:133, a:1, s:1, b:0),
% 0.90/1.55 class_Rings_Osemiring [120, 1] (w:1, o:137, a:1, s:1, b:0),
% 0.90/1.55 class_RealVector_Oreal__normed__algebra [123, 1] (w:1, o:138, a:1, s:
% 0.90/1.55 1, b:0),
% 0.90/1.55 hBOOL [127, 1] (w:1, o:158, a:1, s:1, b:0),
% 0.90/1.55 c_Nat_Onat_Onat__case [136, 3] (w:1, o:236, a:1, s:1, b:0),
% 0.90/1.55 c_Polynomial_Odegree [137, 2] (w:1, o:212, a:1, s:1, b:0),
% 0.90/1.55 class_Fields_Ofield [143, 1] (w:1, o:109, a:1, s:1, b:0),
% 0.90/1.55 c_Polynomial_Opdivmod__rel [144, 5] (w:1, o:328, a:1, s:1, b:0),
% 0.90/1.55 c_Orderings_Oord__class_Oless__eq [145, 3] (w:1, o:238, a:1, s:1, b:0
% 0.90/1.55 ),
% 0.90/1.55 c_Polynomial_OAbs__poly [146, 2] (w:1, o:213, a:1, s:1, b:0),
% 0.90/1.55 c_Nat_OSuc [147, 1] (w:1, o:159, a:1, s:1, b:0),
% 0.90/1.55 class_Groups_Oordered__ab__semigroup__add [155, 1] (w:1, o:160, a:1
% 0.90/1.55 , s:1, b:0),
% 0.90/1.55 class_Rings_Oordered__cancel__semiring [158, 1] (w:1, o:139, a:1, s:1
% 0.90/1.55 , b:0),
% 0.90/1.55 class_Rings_Oordered__ring [159, 1] (w:1, o:140, a:1, s:1, b:0),
% 0.90/1.55 class_Rings_Oordered__semiring [160, 1] (w:1, o:141, a:1, s:1, b:0),
% 0.90/1.55
% 0.90/1.55 class_Rings_Oordered__comm__semiring [161, 1] (w:1, o:142, a:1, s:1
% 0.90/1.55 , b:0),
% 0.90/1.55 class_Rings_Olinordered__semiring [164, 1] (w:1, o:127, a:1, s:1, b:0
% 0.90/1.55 ),
% 0.90/1.55 class_Orderings_Opreorder [167, 1] (w:1, o:163, a:1, s:1, b:0),
% 0.90/1.55 class_Orderings_Olinorder [169, 1] (w:1, o:164, a:1, s:1, b:0),
% 0.90/1.55 class_Orderings_Oorder [170, 1] (w:1, o:161, a:1, s:1, b:0),
% 0.90/1.55 class_Orderings_Oord [171, 1] (w:1, o:162, a:1, s:1, b:0),
% 0.90/1.55 tc_fun [172, 2] (w:1, o:222, a:1, s:1, b:0),
% 0.90/1.55 class_Rings_Olinordered__semiring__1__strict [174, 1] (w:1, o:128, a:
% 0.90/1.55 1, s:1, b:0),
% 0.90/1.55 c_Groups_Oone__class_Oone [175, 1] (w:1, o:165, a:1, s:1, b:0),
% 0.90/1.55 c_Nat_Onat_Onat__size [177, 1] (w:1, o:166, a:1, s:1, b:0),
% 0.90/1.55 c_Groups_Ominus__class_Ominus [181, 3] (w:1, o:247, a:1, s:1, b:0),
% 0.90/1.55 class_Groups_Ogroup__add [182, 1] (w:1, o:167, a:1, s:1, b:0),
% 0.90/1.55 class_Groups_Oab__group__add [183, 1] (w:1, o:168, a:1, s:1, b:0),
% 0.90/1.55 class_Groups_Oordered__ab__group__add [184, 1] (w:1, o:169, a:1, s:1
% 0.90/1.55 , b:0),
% 0.90/1.55 class_Rings_Ozero__neq__one [185, 1] (w:1, o:143, a:1, s:1, b:0),
% 0.90/1.55 class_Groups_Omonoid__mult [186, 1] (w:1, o:170, a:1, s:1, b:0),
% 0.90/1.55 class_Groups_Ocomm__monoid__mult [187, 1] (w:1, o:171, a:1, s:1, b:0)
% 0.90/1.55 ,
% 0.90/1.55 class_Rings_Ocomm__ring [188, 1] (w:1, o:100, a:1, s:1, b:0),
% 0.90/1.55 class_Groups_Oone [189, 1] (w:1, o:172, a:1, s:1, b:0),
% 0.90/1.55 class_Rings_Oring [191, 1] (w:1, o:134, a:1, s:1, b:0),
% 0.90/1.55 class_Rings_Olinordered__semiring__1 [193, 1] (w:1, o:129, a:1, s:1
% 0.90/1.55 , b:0),
% 0.90/1.55 class_Rings_Oring__1 [194, 1] (w:1, o:135, a:1, s:1, b:0),
% 0.90/1.55 class_Rings_Ocomm__ring__1 [195, 1] (w:1, o:101, a:1, s:1, b:0),
% 0.90/1.55 c_Groups_Ouminus__class_Ouminus [196, 2] (w:1, o:223, a:1, s:1, b:0)
% 0.90/1.55 ,
% 0.90/1.55 c_Nat_Osize__class_Osize [197, 2] (w:1, o:224, a:1, s:1, b:0),
% 0.90/1.55 class_Rings_Oring__1__no__zero__divisors [198, 1] (w:1, o:136, a:1
% 0.90/1.55 , s:1, b:0),
% 0.90/1.55 c_Rings_Oinverse__class_Odivide [199, 3] (w:1, o:248, a:1, s:1, b:0)
% 0.90/1.55 ,
% 0.90/1.55 class_Rings_Odivision__ring [200, 1] (w:1, o:144, a:1, s:1, b:0),
% 0.90/1.55 class_RealVector_Oreal__normed__field [201, 1] (w:1, o:145, a:1, s:1
% 0.90/1.55 , b:0),
% 0.90/1.55 class_Rings_Odivision__ring__inverse__zero [202, 1] (w:1, o:146, a:1
% 0.90/1.55 , s:1, b:0),
% 0.90/1.55 class_RealVector_Oreal__field [203, 1] (w:1, o:147, a:1, s:1, b:0),
% 0.90/1.55 class_Fields_Olinordered__field__inverse__zero [204, 1] (w:1, o:110
% 0.90/1.55 , a:1, s:1, b:0),
% 0.90/1.55 class_Fields_Olinordered__field [205, 1] (w:1, o:111, a:1, s:1, b:0)
% 0.90/1.55 ,
% 0.90/1.55 class_Fields_Ofield__inverse__zero [207, 1] (w:1, o:112, a:1, s:1, b:
% 0.90/1.55 0),
% 0.90/1.55 c_Divides_Odiv__class_Omod [208, 3] (w:1, o:249, a:1, s:1, b:0),
% 0.90/1.55 class_Lattices_Oboolean__algebra [209, 1] (w:1, o:174, a:1, s:1, b:0)
% 0.90/1.55 ,
% 0.90/1.55 class_Lattices_Oab__semigroup__idem__mult [210, 1] (w:1, o:173, a:1
% 0.90/1.55 , s:1, b:0),
% 0.90/1.55 class_Groups_Ominus [213, 1] (w:1, o:175, a:1, s:1, b:0),
% 0.90/1.55 class_Groups_Ouminus [214, 1] (w:1, o:176, a:1, s:1, b:0),
% 0.90/1.55 class_Divides_Osemiring__div [215, 1] (w:1, o:178, a:1, s:1, b:0),
% 2.75/3.16 class_Divides_Oring__div [217, 1] (w:1, o:177, a:1, s:1, b:0),
% 2.75/3.16 c_Groups_Osgn__class_Osgn [218, 2] (w:1, o:225, a:1, s:1, b:0),
% 2.75/3.16 c_Polynomial_Opoly__gcd [219, 3] (w:1, o:250, a:1, s:1, b:0),
% 2.75/3.16 class_RealVector_Oreal__normed__vector [220, 1] (w:1, o:148, a:1, s:1
% 2.75/3.16 , b:0),
% 2.75/3.16 class_RealVector_Oreal__normed__algebra__1 [221, 1] (w:1, o:149, a:1
% 2.75/3.16 , s:1, b:0),
% 2.75/3.16 class_RealVector_Oreal__normed__div__algebra [222, 1] (w:1, o:150, a:
% 2.75/3.16 1, s:1, b:0),
% 2.75/3.16 class_Groups_Osgn__if [223, 1] (w:1, o:179, a:1, s:1, b:0),
% 2.75/3.16 c_Rings_Oinverse__class_Oinverse [224, 2] (w:1, o:226, a:1, s:1, b:0)
% 2.75/3.16 ,
% 2.75/3.16 c_Rings_Odvd__class_Odvd [226, 3] (w:1, o:251, a:1, s:1, b:0),
% 2.75/3.16 class_Rings_Odvd [227, 1] (w:1, o:151, a:1, s:1, b:0),
% 2.75/3.16 class_Rings_Osemiring__0 [230, 1] (w:1, o:152, a:1, s:1, b:0),
% 2.75/3.16 c_Power_Opower__class_Opower [231, 3] (w:1, o:252, a:1, s:1, b:0),
% 2.75/3.16 class_Groups_Ocancel__comm__monoid__add [233, 1] (w:1, o:180, a:1, s:
% 2.75/3.16 1, b:0),
% 2.75/3.16 tc_Complex_Ocomplex [234, 0] (w:1, o:90, a:1, s:1, b:0),
% 2.75/3.16 tc_HOL_Obool [236, 0] (w:1, o:92, a:1, s:1, b:0),
% 2.75/3.16 v_p [237, 0] (w:1, o:93, a:1, s:1, b:0),
% 2.75/3.16 v_a [238, 0] (w:1, o:94, a:1, s:1, b:0),
% 2.75/3.16 alpha1 [239, 3] (w:1, o:253, a:1, s:1, b:1),
% 2.75/3.16 alpha2 [240, 4] (w:1, o:298, a:1, s:1, b:1),
% 2.75/3.16 alpha3 [241, 4] (w:1, o:301, a:1, s:1, b:1),
% 2.75/3.16 alpha4 [242, 3] (w:1, o:261, a:1, s:1, b:1),
% 2.75/3.16 alpha5 [243, 3] (w:1, o:264, a:1, s:1, b:1),
% 2.75/3.16 alpha6 [244, 3] (w:1, o:266, a:1, s:1, b:1),
% 2.75/3.16 alpha7 [245, 2] (w:1, o:227, a:1, s:1, b:1),
% 2.75/3.16 alpha8 [246, 2] (w:1, o:228, a:1, s:1, b:1),
% 2.75/3.16 alpha9 [247, 2] (w:1, o:229, a:1, s:1, b:1),
% 2.75/3.16 alpha10 [248, 3] (w:1, o:267, a:1, s:1, b:1),
% 2.75/3.16 alpha11 [249, 3] (w:1, o:268, a:1, s:1, b:1),
% 2.75/3.16 alpha12 [250, 3] (w:1, o:269, a:1, s:1, b:1),
% 2.75/3.16 alpha13 [251, 3] (w:1, o:270, a:1, s:1, b:1),
% 2.75/3.16 alpha14 [252, 3] (w:1, o:271, a:1, s:1, b:1),
% 2.75/3.16 alpha15 [253, 3] (w:1, o:272, a:1, s:1, b:1),
% 2.75/3.16 alpha16 [254, 3] (w:1, o:273, a:1, s:1, b:1),
% 2.75/3.16 alpha17 [255, 3] (w:1, o:274, a:1, s:1, b:1),
% 2.75/3.16 alpha18 [256, 3] (w:1, o:275, a:1, s:1, b:1),
% 2.75/3.16 alpha19 [257, 3] (w:1, o:276, a:1, s:1, b:1),
% 2.75/3.16 alpha20 [258, 3] (w:1, o:277, a:1, s:1, b:1),
% 2.75/3.16 alpha21 [259, 3] (w:1, o:278, a:1, s:1, b:1),
% 2.75/3.16 alpha22 [260, 3] (w:1, o:279, a:1, s:1, b:1),
% 2.75/3.16 alpha23 [261, 3] (w:1, o:280, a:1, s:1, b:1),
% 2.75/3.16 alpha24 [262, 2] (w:1, o:230, a:1, s:1, b:1),
% 2.75/3.16 alpha25 [263, 2] (w:1, o:231, a:1, s:1, b:1),
% 2.75/3.16 alpha26 [264, 4] (w:1, o:299, a:1, s:1, b:1),
% 2.75/3.16 alpha27 [265, 4] (w:1, o:300, a:1, s:1, b:1),
% 2.75/3.16 alpha28 [266, 3] (w:1, o:281, a:1, s:1, b:1),
% 2.75/3.16 alpha29 [267, 3] (w:1, o:282, a:1, s:1, b:1),
% 2.75/3.16 alpha30 [268, 3] (w:1, o:254, a:1, s:1, b:1),
% 2.75/3.16 alpha31 [269, 2] (w:1, o:232, a:1, s:1, b:1),
% 2.75/3.16 alpha32 [270, 2] (w:1, o:233, a:1, s:1, b:1),
% 2.75/3.16 alpha33 [271, 3] (w:1, o:255, a:1, s:1, b:1),
% 2.75/3.16 alpha34 [272, 3] (w:1, o:256, a:1, s:1, b:1),
% 2.75/3.16 alpha35 [273, 3] (w:1, o:257, a:1, s:1, b:1),
% 2.75/3.16 alpha36 [274, 3] (w:1, o:258, a:1, s:1, b:1),
% 2.75/3.16 alpha37 [275, 3] (w:1, o:259, a:1, s:1, b:1),
% 2.75/3.16 alpha38 [276, 3] (w:1, o:260, a:1, s:1, b:1),
% 2.75/3.16 alpha39 [277, 4] (w:1, o:302, a:1, s:1, b:1),
% 2.75/3.16 alpha40 [278, 4] (w:1, o:303, a:1, s:1, b:1),
% 2.75/3.16 alpha41 [279, 4] (w:1, o:304, a:1, s:1, b:1),
% 2.75/3.16 alpha42 [280, 4] (w:1, o:305, a:1, s:1, b:1),
% 2.75/3.16 alpha43 [281, 4] (w:1, o:306, a:1, s:1, b:1),
% 2.75/3.16 alpha44 [282, 4] (w:1, o:307, a:1, s:1, b:1),
% 2.75/3.16 alpha45 [283, 3] (w:1, o:262, a:1, s:1, b:1),
% 2.75/3.16 alpha46 [284, 4] (w:1, o:308, a:1, s:1, b:1),
% 2.75/3.16 alpha47 [285, 4] (w:1, o:309, a:1, s:1, b:1),
% 2.75/3.16 alpha48 [286, 3] (w:1, o:263, a:1, s:1, b:1),
% 2.75/3.16 alpha49 [287, 4] (w:1, o:310, a:1, s:1, b:1),
% 2.75/3.16 alpha50 [288, 4] (w:1, o:311, a:1, s:1, b:1),
% 2.75/3.16 alpha51 [289, 4] (w:1, o:312, a:1, s:1, b:1),
% 2.75/3.16 alpha52 [290, 4] (w:1, o:313, a:1, s:1, b:1),
% 2.75/3.16 alpha53 [291, 3] (w:1, o:265, a:1, s:1, b:1),
% 2.75/3.16 alpha54 [292, 4] (w:1, o:314, a:1, s:1, b:1),
% 2.75/3.16 alpha55 [293, 4] (w:1, o:315, a:1, s:1, b:1),
% 13.24/13.66 alpha56 [294, 4] (w:1, o:316, a:1, s:1, b:1),
% 13.24/13.66 alpha57 [295, 4] (w:1, o:317, a:1, s:1, b:1),
% 13.24/13.66 alpha58 [296, 4] (w:1, o:318, a:1, s:1, b:1),
% 13.24/13.66 alpha59 [297, 4] (w:1, o:319, a:1, s:1, b:1),
% 13.24/13.66 alpha60 [298, 4] (w:1, o:320, a:1, s:1, b:1),
% 13.24/13.66 alpha61 [299, 4] (w:1, o:321, a:1, s:1, b:1),
% 13.24/13.66 alpha62 [300, 4] (w:1, o:322, a:1, s:1, b:1),
% 13.24/13.66 alpha63 [301, 3] (w:1, o:283, a:1, s:1, b:1),
% 13.24/13.66 alpha64 [302, 3] (w:1, o:284, a:1, s:1, b:1),
% 13.24/13.66 alpha65 [303, 3] (w:1, o:285, a:1, s:1, b:1),
% 13.24/13.66 alpha66 [304, 4] (w:1, o:323, a:1, s:1, b:1),
% 13.24/13.66 alpha67 [305, 4] (w:1, o:324, a:1, s:1, b:1),
% 13.24/13.66 alpha68 [306, 4] (w:1, o:325, a:1, s:1, b:1),
% 13.24/13.66 skol1 [307, 2] (w:1, o:214, a:1, s:1, b:1),
% 13.24/13.66 skol2 [308, 3] (w:1, o:294, a:1, s:1, b:1),
% 13.24/13.66 skol3 [309, 2] (w:1, o:215, a:1, s:1, b:1),
% 13.24/13.66 skol4 [310, 3] (w:1, o:295, a:1, s:1, b:1),
% 13.24/13.66 skol5 [311, 2] (w:1, o:216, a:1, s:1, b:1),
% 13.24/13.66 skol6 [312, 1] (w:1, o:103, a:1, s:1, b:1),
% 13.24/13.66 skol7 [313, 2] (w:1, o:217, a:1, s:1, b:1),
% 13.24/13.66 skol8 [314, 2] (w:1, o:218, a:1, s:1, b:1),
% 13.24/13.66 skol9 [315, 2] (w:1, o:219, a:1, s:1, b:1),
% 13.24/13.66 skol10 [316, 3] (w:1, o:286, a:1, s:1, b:1),
% 13.24/13.66 skol11 [317, 3] (w:1, o:287, a:1, s:1, b:1),
% 13.24/13.66 skol12 [318, 3] (w:1, o:288, a:1, s:1, b:1),
% 13.24/13.66 skol13 [319, 3] (w:1, o:289, a:1, s:1, b:1),
% 13.24/13.66 skol14 [320, 2] (w:1, o:220, a:1, s:1, b:1),
% 13.24/13.66 skol15 [321, 3] (w:1, o:290, a:1, s:1, b:1),
% 13.24/13.66 skol16 [322, 3] (w:1, o:291, a:1, s:1, b:1),
% 13.24/13.66 skol17 [323, 2] (w:1, o:221, a:1, s:1, b:1),
% 13.24/13.66 skol18 [324, 3] (w:1, o:292, a:1, s:1, b:1),
% 13.24/13.66 skol19 [325, 3] (w:1, o:293, a:1, s:1, b:1),
% 13.24/13.66 skol20 [326, 4] (w:1, o:326, a:1, s:1, b:1),
% 13.24/13.66 skol21 [327, 1] (w:1, o:104, a:1, s:1, b:1),
% 13.24/13.66 skol22 [328, 3] (w:1, o:296, a:1, s:1, b:1).
% 13.24/13.66
% 13.24/13.66
% 13.24/13.66 Starting Search:
% 13.24/13.66
% 13.24/13.66 *** allocated 113905 integers for clauses
% 13.24/13.66 *** allocated 170857 integers for clauses
% 13.24/13.66 Resimplifying inuse:
% 13.24/13.66 Done
% 13.24/13.66
% 13.24/13.66
% 13.24/13.66 Intermediate Status:
% 13.24/13.66 Generated: 3166
% 13.24/13.66 Kept: 2000
% 13.24/13.66 Inuse: 46
% 13.24/13.66 Deleted: 1
% 13.24/13.66 Deletedinuse: 0
% 13.24/13.66
% 13.24/13.66 *** allocated 256285 integers for clauses
% 13.24/13.66 Resimplifying inuse:
% 13.24/13.66 Done
% 13.24/13.66
% 13.24/13.66 *** allocated 170857 integers for termspace/termends
% 13.24/13.66 Resimplifying inuse:
% 13.24/13.66 Done
% 13.24/13.66
% 13.24/13.66
% 13.24/13.66 Intermediate Status:
% 13.24/13.66 Generated: 8795
% 13.24/13.66 Kept: 4006
% 13.24/13.66 Inuse: 183
% 13.24/13.66 Deleted: 2
% 13.24/13.66 Deletedinuse: 0
% 13.24/13.66
% 13.24/13.66 *** allocated 384427 integers for clauses
% 13.24/13.66 Resimplifying inuse:
% 13.24/13.66 Done
% 13.24/13.66
% 13.24/13.66 *** allocated 256285 integers for termspace/termends
% 13.24/13.66
% 13.24/13.66 Intermediate Status:
% 13.24/13.66 Generated: 13694
% 13.24/13.66 Kept: 6012
% 13.24/13.66 Inuse: 219
% 13.24/13.66 Deleted: 3
% 13.24/13.66 Deletedinuse: 1
% 13.24/13.66
% 13.24/13.66 Resimplifying inuse:
% 13.24/13.66 Done
% 13.24/13.66
% 13.24/13.66 *** allocated 576640 integers for clauses
% 13.24/13.66 Resimplifying inuse:
% 13.24/13.66 Done
% 13.24/13.66
% 13.24/13.66
% 13.24/13.66 Intermediate Status:
% 13.24/13.66 Generated: 21645
% 13.24/13.66 Kept: 8384
% 13.24/13.66 Inuse: 254
% 13.24/13.66 Deleted: 3
% 13.24/13.66 Deletedinuse: 1
% 13.24/13.66
% 13.24/13.66 Resimplifying inuse:
% 13.24/13.66 Done
% 13.24/13.66
% 13.24/13.66 *** allocated 384427 integers for termspace/termends
% 13.24/13.66 Resimplifying inuse:
% 13.24/13.66 Done
% 13.24/13.66
% 13.24/13.66
% 13.24/13.66 Intermediate Status:
% 13.24/13.66 Generated: 28449
% 13.24/13.66 Kept: 10397
% 13.24/13.66 Inuse: 278
% 13.24/13.66 Deleted: 3
% 13.24/13.66 Deletedinuse: 1
% 13.24/13.66
% 13.24/13.66 Resimplifying inuse:
% 13.24/13.66 Done
% 13.24/13.66
% 13.24/13.66 *** allocated 864960 integers for clauses
% 13.24/13.66 Resimplifying inuse:
% 13.24/13.66 Done
% 13.24/13.66
% 13.24/13.66
% 13.24/13.66 Intermediate Status:
% 13.24/13.66 Generated: 34054
% 13.24/13.66 Kept: 12400
% 13.24/13.66 Inuse: 315
% 13.24/13.66 Deleted: 3
% 13.24/13.66 Deletedinuse: 1
% 13.24/13.66
% 13.24/13.66 Resimplifying inuse:
% 13.24/13.66 Done
% 13.24/13.66
% 13.24/13.66
% 13.24/13.66 Intermediate Status:
% 13.24/13.66 Generated: 39739
% 13.24/13.66 Kept: 14469
% 13.24/13.66 Inuse: 349
% 13.24/13.66 Deleted: 3
% 13.24/13.66 Deletedinuse: 1
% 13.24/13.66
% 13.24/13.66 Resimplifying inuse:
% 13.24/13.66 Done
% 13.24/13.66
% 13.24/13.66 *** allocated 576640 integers for termspace/termends
% 13.24/13.66 Resimplifying inuse:
% 13.24/13.66 Done
% 13.24/13.66
% 13.24/13.66
% 13.24/13.66 Intermediate Status:
% 13.24/13.66 Generated: 48068
% 13.24/13.66 Kept: 16476
% 13.24/13.66 Inuse: 380
% 13.24/13.66 Deleted: 3
% 13.24/13.66 Deletedinuse: 1
% 13.24/13.66
% 13.24/13.66 Resimplifying inuse:
% 13.24/13.66 Done
% 13.24/13.66
% 13.24/13.66 *** allocated 1297440 integers for clauses
% 13.24/13.66
% 13.24/13.66 Intermediate Status:
% 13.24/13.66 Generated: 55083
% 13.24/13.66 Kept: 18936
% 13.24/13.66 Inuse: 424
% 13.24/13.66 Deleted: 3
% 13.24/13.66 Deletedinuse: 1
% 13.24/13.66
% 13.24/13.66 Resimplifying inuse:
% 13.24/13.66 Done
% 13.24/13.66
% 13.24/13.66 Resimplifying inuse:
% 13.24/13.66 Done
% 13.24/13.66
% 13.24/13.66 Resimplifying clauses:
% 13.24/13.66 Done
% 13.24/13.66
% 13.24/13.66
% 13.24/13.66 Intermediate Status:
% 13.24/13.66 Generated: 63916
% 13.24/13.66 Kept: 21011
% 13.24/13.66 Inuse: 503
% 13.24/13.66 Deleted: 143
% 13.24/13.66 Deletedinuse: 1
% 13.24/13.66
% 13.24/13.66 Resimplifying inuse:
% 13.24/13.66 Done
% 13.24/13.66
% 13.24/13.66 *** allocated 864960 integers for termspace/termends
% 13.24/13.66
% 13.24/13.66 Intermediate Status:
% 13.24/13.66 Generated: 80687
% 55.32/55.70 Kept: 23163
% 55.32/55.70 Inuse: 533
% 55.32/55.70 Deleted: 143
% 55.32/55.70 Deletedinuse: 1
% 55.32/55.70
% 55.32/55.70 Resimplifying inuse:
% 55.32/55.70 Done
% 55.32/55.70
% 55.32/55.70 Resimplifying inuse:
% 55.32/55.70 Done
% 55.32/55.70
% 55.32/55.70
% 55.32/55.70 Intermediate Status:
% 55.32/55.70 Generated: 94483
% 55.32/55.70 Kept: 25172
% 55.32/55.70 Inuse: 597
% 55.32/55.70 Deleted: 143
% 55.32/55.70 Deletedinuse: 1
% 55.32/55.70
% 55.32/55.70 Resimplifying inuse:
% 55.32/55.70 Done
% 55.32/55.70
% 55.32/55.70 Resimplifying inuse:
% 55.32/55.70 Done
% 55.32/55.70
% 55.32/55.70 *** allocated 1946160 integers for clauses
% 55.32/55.70
% 55.32/55.70 Intermediate Status:
% 55.32/55.70 Generated: 114604
% 55.32/55.70 Kept: 27577
% 55.32/55.70 Inuse: 633
% 55.32/55.70 Deleted: 143
% 55.32/55.70 Deletedinuse: 1
% 55.32/55.70
% 55.32/55.70 Resimplifying inuse:
% 55.32/55.70 Done
% 55.32/55.70
% 55.32/55.70
% 55.32/55.70 Intermediate Status:
% 55.32/55.70 Generated: 118749
% 55.32/55.70 Kept: 29627
% 55.32/55.70 Inuse: 646
% 55.32/55.70 Deleted: 143
% 55.32/55.70 Deletedinuse: 1
% 55.32/55.70
% 55.32/55.70 Resimplifying inuse:
% 55.32/55.70 Done
% 55.32/55.70
% 55.32/55.70 Resimplifying inuse:
% 55.32/55.70 Done
% 55.32/55.70
% 55.32/55.70
% 55.32/55.70 Intermediate Status:
% 55.32/55.70 Generated: 126445
% 55.32/55.70 Kept: 31631
% 55.32/55.70 Inuse: 683
% 55.32/55.70 Deleted: 143
% 55.32/55.70 Deletedinuse: 1
% 55.32/55.70
% 55.32/55.70 *** allocated 1297440 integers for termspace/termends
% 55.32/55.70 Resimplifying inuse:
% 55.32/55.70 Done
% 55.32/55.70
% 55.32/55.70
% 55.32/55.70 Intermediate Status:
% 55.32/55.70 Generated: 134732
% 55.32/55.70 Kept: 33759
% 55.32/55.70 Inuse: 703
% 55.32/55.70 Deleted: 143
% 55.32/55.70 Deletedinuse: 1
% 55.32/55.70
% 55.32/55.70 Resimplifying inuse:
% 55.32/55.70 Done
% 55.32/55.70
% 55.32/55.70 Resimplifying inuse:
% 55.32/55.70 Done
% 55.32/55.70
% 55.32/55.70
% 55.32/55.70 Intermediate Status:
% 55.32/55.70 Generated: 143715
% 55.32/55.70 Kept: 35894
% 55.32/55.70 Inuse: 723
% 55.32/55.70 Deleted: 143
% 55.32/55.70 Deletedinuse: 1
% 55.32/55.70
% 55.32/55.70 Resimplifying inuse:
% 55.32/55.70 Done
% 55.32/55.70
% 55.32/55.70
% 55.32/55.70 Intermediate Status:
% 55.32/55.70 Generated: 154898
% 55.32/55.70 Kept: 38145
% 55.32/55.70 Inuse: 758
% 55.32/55.70 Deleted: 143
% 55.32/55.70 Deletedinuse: 1
% 55.32/55.70
% 55.32/55.70 Resimplifying inuse:
% 55.32/55.70 Done
% 55.32/55.70
% 55.32/55.70 Resimplifying inuse:
% 55.32/55.70 Done
% 55.32/55.70
% 55.32/55.70
% 55.32/55.70 Intermediate Status:
% 55.32/55.70 Generated: 167258
% 55.32/55.70 Kept: 40953
% 55.32/55.70 Inuse: 764
% 55.32/55.70 Deleted: 144
% 55.32/55.70 Deletedinuse: 1
% 55.32/55.70
% 55.32/55.70 Resimplifying inuse:
% 55.32/55.70 Done
% 55.32/55.70
% 55.32/55.70 Resimplifying clauses:
% 55.32/55.70 Done
% 55.32/55.70
% 55.32/55.70 *** allocated 2919240 integers for clauses
% 55.32/55.70 Resimplifying inuse:
% 55.32/55.70 Done
% 55.32/55.70
% 55.32/55.70
% 55.32/55.70 Intermediate Status:
% 55.32/55.70 Generated: 182057
% 55.32/55.70 Kept: 43074
% 55.32/55.70 Inuse: 792
% 55.32/55.70 Deleted: 221
% 55.32/55.70 Deletedinuse: 1
% 55.32/55.70
% 55.32/55.70 Resimplifying inuse:
% 55.32/55.70 Done
% 55.32/55.70
% 55.32/55.70 Resimplifying inuse:
% 55.32/55.70 Done
% 55.32/55.70
% 55.32/55.70
% 55.32/55.70 Intermediate Status:
% 55.32/55.70 Generated: 191101
% 55.32/55.70 Kept: 45192
% 55.32/55.70 Inuse: 862
% 55.32/55.70 Deleted: 221
% 55.32/55.70 Deletedinuse: 1
% 55.32/55.70
% 55.32/55.70 Resimplifying inuse:
% 55.32/55.70 Done
% 55.32/55.70
% 55.32/55.70 *** allocated 1946160 integers for termspace/termends
% 55.32/55.70 Resimplifying inuse:
% 55.32/55.70 Done
% 55.32/55.70
% 55.32/55.70
% 55.32/55.70 Intermediate Status:
% 55.32/55.70 Generated: 198255
% 55.32/55.70 Kept: 47274
% 55.32/55.70 Inuse: 916
% 55.32/55.70 Deleted: 227
% 55.32/55.70 Deletedinuse: 1
% 55.32/55.70
% 55.32/55.70 Resimplifying inuse:
% 55.32/55.70 Done
% 55.32/55.70
% 55.32/55.70
% 55.32/55.70 Intermediate Status:
% 55.32/55.70 Generated: 202792
% 55.32/55.70 Kept: 49614
% 55.32/55.70 Inuse: 928
% 55.32/55.70 Deleted: 230
% 55.32/55.70 Deletedinuse: 1
% 55.32/55.70
% 55.32/55.70 Resimplifying inuse:
% 55.32/55.70 Done
% 55.32/55.70
% 55.32/55.70 Resimplifying inuse:
% 55.32/55.70 Done
% 55.32/55.70
% 55.32/55.70
% 55.32/55.70 Intermediate Status:
% 55.32/55.70 Generated: 208662
% 55.32/55.70 Kept: 53035
% 55.32/55.70 Inuse: 933
% 55.32/55.70 Deleted: 230
% 55.32/55.70 Deletedinuse: 1
% 55.32/55.70
% 55.32/55.70 Resimplifying inuse:
% 55.32/55.70 Done
% 55.32/55.70
% 55.32/55.70 Resimplifying inuse:
% 55.32/55.70 Done
% 55.32/55.70
% 55.32/55.70
% 55.32/55.70 Intermediate Status:
% 55.32/55.70 Generated: 213504
% 55.32/55.70 Kept: 55093
% 55.32/55.70 Inuse: 943
% 55.32/55.70 Deleted: 230
% 55.32/55.70 Deletedinuse: 1
% 55.32/55.70
% 55.32/55.70 Resimplifying inuse:
% 55.32/55.70 Done
% 55.32/55.70
% 55.32/55.70
% 55.32/55.70 Intermediate Status:
% 55.32/55.70 Generated: 222153
% 55.32/55.70 Kept: 57094
% 55.32/55.70 Inuse: 957
% 55.32/55.70 Deleted: 230
% 55.32/55.70 Deletedinuse: 1
% 55.32/55.70
% 55.32/55.70 Resimplifying inuse:
% 55.32/55.70 Done
% 55.32/55.70
% 55.32/55.70
% 55.32/55.70 Intermediate Status:
% 55.32/55.70 Generated: 229851
% 55.32/55.70 Kept: 61102
% 55.32/55.70 Inuse: 973
% 55.32/55.70 Deleted: 230
% 55.32/55.70 Deletedinuse: 1
% 55.32/55.70
% 55.32/55.70 Resimplifying inuse:
% 55.32/55.70 Done
% 55.32/55.70
% 55.32/55.70 Resimplifying clauses:
% 55.32/55.70 Done
% 55.32/55.70
% 55.32/55.70
% 55.32/55.70 Intermediate Status:
% 55.32/55.70 Generated: 240522
% 55.32/55.70 Kept: 63829
% 55.32/55.70 Inuse: 1003
% 55.32/55.70 Deleted: 688
% 55.32/55.70 Deletedinuse: 1
% 55.32/55.70
% 55.32/55.70 Resimplifying inuse:
% 55.32/55.70 Done
% 55.32/55.70
% 55.32/55.70 Resimplifying inuse:
% 55.32/55.70 Done
% 55.32/55.70
% 55.32/55.70
% 55.32/55.70 Intermediate Status:
% 55.32/55.70 Generated: 245312
% 55.32/55.70 Kept: 65950
% 55.32/55.70 Inuse: 1013
% 55.32/55.70 Deleted: 689
% 55.32/55.70 Deletedinuse: 2
% 55.32/55.70
% 55.32/55.70 *** allocated 4378860 integers for clauses
% 55.32/55.70
% 55.32/55.70 Intermediate Status:
% 55.32/55.70 Generated: 265693
% 55.32/55.70 Kept: 68392
% 55.32/55.70 Inuse: 1028
% 55.32/55.70 Deleted: 689
% 55.32/55.70 Deletedinuse: 2
% 55.32/55.70
% 55.32/55.70 Resimplifying inuse:
% 55.32/55.70 Done
% 55.32/55.70
% 55.32/55.70
% 55.32/55.70 Intermediate Status:
% 55.32/55.70 Generated: 284891
% 55.32/55.70 Kept: 70475
% 55.32/55.70 Inuse: 1038
% 55.32/55.70 Deleted: 689
% 55.32/55.70 Deletedinuse: 2
% 55.32/55.70
% 55.32/55.70 Resimplifying inuse:
% 55.32/55.70 Done
% 55.32/55.70
% 55.32/55.70 Resimplifying inuse:
% 55.32/55.70 Done
% 55.32/55.70
% 55.32/55.70
% 55.32/55.70 Intermediate Status:
% 55.32/55.70 Generated: 303204
% 55.32/55.70 Kept: 73332
% 55.32/55.70 Inuse: 1066
% 55.32/55.70 Deleted: 691
% 55.32/55.70 Deletedinuse: 2
% 55.32/55.70
% 55.32/55.70 Resimplifying inuse:
% 55.32/55.70 Done
% 55.32/55.70
% 55.32/55.70 Resimplifying inuse:
% 55.32/55.70 Done
% 55.32/55.70
% 55.32/55.70
% 55.32/55.70 Intermediate Status:
% 55.32/55.70 Generated: 321586
% 55.32/55.70 Kept: 77113
% 55.32/55.70 Inuse: 1103
% 55.32/55.70 Deleted: 694
% 55.32/55.70 Deletedinuse: 2
% 55.32/55.70
% 55.32/55.70 Resimplifying inuse:
% 55.32/55.70 Done
% 55.32/55.70
% 55.32/55.70 *** allocated 2919240 integers for termspace/termends
% 55.32/55.70
% 55.32/55.70 Intermediate Status:
% 55.32/55.70 Generated: 333251
% 55.32/55.70 Kept: 79908
% 55.32/55.70 Inuse: 1113
% 55.32/55.70 Deleted: 694
% 55.32/55.70 Deletedinuse: 2
% 55.32/55.70
% 55.32/55.70 Resimplifying inuse:
% 55.32/55.70 Done
% 55.32/55.70
% 55.32/55.70 Resimplifying inuse:
% 55.32/55.70 Done
% 124.39/124.83
% 124.39/124.83 Resimplifying clauses:
% 124.39/124.83 Done
% 124.39/124.83
% 124.39/124.83
% 124.39/124.83 Intermediate Status:
% 124.39/124.83 Generated: 346178
% 124.39/124.83 Kept: 81925
% 124.39/124.83 Inuse: 1150
% 124.39/124.83 Deleted: 998
% 124.39/124.83 Deletedinuse: 2
% 124.39/124.83
% 124.39/124.83 Resimplifying inuse:
% 124.39/124.83 Done
% 124.39/124.83
% 124.39/124.83 Resimplifying inuse:
% 124.39/124.83 Done
% 124.39/124.83
% 124.39/124.83
% 124.39/124.83 Intermediate Status:
% 124.39/124.83 Generated: 356941
% 124.39/124.83 Kept: 83950
% 124.39/124.83 Inuse: 1182
% 124.39/124.83 Deleted: 998
% 124.39/124.83 Deletedinuse: 2
% 124.39/124.83
% 124.39/124.83 Resimplifying inuse:
% 124.39/124.83 Done
% 124.39/124.83
% 124.39/124.83 Resimplifying inuse:
% 124.39/124.83 Done
% 124.39/124.83
% 124.39/124.83
% 124.39/124.83 Intermediate Status:
% 124.39/124.83 Generated: 367160
% 124.39/124.83 Kept: 85957
% 124.39/124.83 Inuse: 1221
% 124.39/124.83 Deleted: 1000
% 124.39/124.83 Deletedinuse: 4
% 124.39/124.83
% 124.39/124.83 Resimplifying inuse:
% 124.39/124.83 Done
% 124.39/124.83
% 124.39/124.83 Resimplifying inuse:
% 124.39/124.83 Done
% 124.39/124.83
% 124.39/124.83
% 124.39/124.83 Intermediate Status:
% 124.39/124.83 Generated: 379194
% 124.39/124.83 Kept: 88598
% 124.39/124.83 Inuse: 1248
% 124.39/124.83 Deleted: 1001
% 124.39/124.83 Deletedinuse: 5
% 124.39/124.83
% 124.39/124.83 Resimplifying inuse:
% 124.39/124.83 Done
% 124.39/124.83
% 124.39/124.83 Resimplifying inuse:
% 124.39/124.83 Done
% 124.39/124.83
% 124.39/124.83
% 124.39/124.83 Intermediate Status:
% 124.39/124.83 Generated: 391944
% 124.39/124.83 Kept: 91530
% 124.39/124.83 Inuse: 1273
% 124.39/124.83 Deleted: 1001
% 124.39/124.83 Deletedinuse: 5
% 124.39/124.83
% 124.39/124.83 Resimplifying inuse:
% 124.39/124.83 Done
% 124.39/124.83
% 124.39/124.83 Resimplifying inuse:
% 124.39/124.83 Done
% 124.39/124.83
% 124.39/124.83
% 124.39/124.83 Intermediate Status:
% 124.39/124.83 Generated: 420532
% 124.39/124.83 Kept: 95467
% 124.39/124.83 Inuse: 1293
% 124.39/124.83 Deleted: 1001
% 124.39/124.83 Deletedinuse: 5
% 124.39/124.83
% 124.39/124.83 Resimplifying inuse:
% 124.39/124.83 Done
% 124.39/124.83
% 124.39/124.83 Resimplifying inuse:
% 124.39/124.83 Done
% 124.39/124.83
% 124.39/124.83
% 124.39/124.83 Intermediate Status:
% 124.39/124.83 Generated: 431217
% 124.39/124.83 Kept: 97480
% 124.39/124.83 Inuse: 1324
% 124.39/124.83 Deleted: 1001
% 124.39/124.83 Deletedinuse: 5
% 124.39/124.83
% 124.39/124.83 Resimplifying inuse:
% 124.39/124.83 Done
% 124.39/124.83
% 124.39/124.83
% 124.39/124.83 Intermediate Status:
% 124.39/124.83 Generated: 439193
% 124.39/124.83 Kept: 99483
% 124.39/124.83 Inuse: 1342
% 124.39/124.83 Deleted: 1002
% 124.39/124.83 Deletedinuse: 5
% 124.39/124.83
% 124.39/124.83
% 124.39/124.83 Intermediate Status:
% 124.39/124.83 Generated: 443110
% 124.39/124.83 Kept: 101640
% 124.39/124.83 Inuse: 1344
% 124.39/124.83 Deleted: 1002
% 124.39/124.83 Deletedinuse: 5
% 124.39/124.83
% 124.39/124.83 Resimplifying inuse:
% 124.39/124.83 Done
% 124.39/124.83
% 124.39/124.83 Resimplifying clauses:
% 124.39/124.83 Done
% 124.39/124.83
% 124.39/124.83 *** allocated 6568290 integers for clauses
% 124.39/124.83 Resimplifying inuse:
% 124.39/124.83 Done
% 124.39/124.83
% 124.39/124.83
% 124.39/124.83 Intermediate Status:
% 124.39/124.83 Generated: 451633
% 124.39/124.83 Kept: 103720
% 124.39/124.83 Inuse: 1362
% 124.39/124.83 Deleted: 1289
% 124.39/124.83 Deletedinuse: 5
% 124.39/124.83
% 124.39/124.83
% 124.39/124.83 Intermediate Status:
% 124.39/124.83 Generated: 458751
% 124.39/124.83 Kept: 105770
% 124.39/124.83 Inuse: 1367
% 124.39/124.83 Deleted: 1289
% 124.39/124.83 Deletedinuse: 5
% 124.39/124.83
% 124.39/124.83 Resimplifying inuse:
% 124.39/124.83 Done
% 124.39/124.83
% 124.39/124.83
% 124.39/124.83 Intermediate Status:
% 124.39/124.83 Generated: 464298
% 124.39/124.83 Kept: 108881
% 124.39/124.83 Inuse: 1372
% 124.39/124.83 Deleted: 1289
% 124.39/124.83 Deletedinuse: 5
% 124.39/124.83
% 124.39/124.83 Resimplifying inuse:
% 124.39/124.83 Done
% 124.39/124.83
% 124.39/124.83 Resimplifying inuse:
% 124.39/124.83 Done
% 124.39/124.83
% 124.39/124.83
% 124.39/124.83 Intermediate Status:
% 124.39/124.83 Generated: 479042
% 124.39/124.83 Kept: 112106
% 124.39/124.83 Inuse: 1387
% 124.39/124.83 Deleted: 1289
% 124.39/124.83 Deletedinuse: 5
% 124.39/124.83
% 124.39/124.83 Resimplifying inuse:
% 124.39/124.83 Done
% 124.39/124.83
% 124.39/124.83 Resimplifying inuse:
% 124.39/124.83 Done
% 124.39/124.83
% 124.39/124.83
% 124.39/124.83 Intermediate Status:
% 124.39/124.83 Generated: 490318
% 124.39/124.83 Kept: 114110
% 124.39/124.83 Inuse: 1412
% 124.39/124.83 Deleted: 1289
% 124.39/124.83 Deletedinuse: 5
% 124.39/124.83
% 124.39/124.83 Resimplifying inuse:
% 124.39/124.83 Done
% 124.39/124.83
% 124.39/124.83 *** allocated 4378860 integers for termspace/termends
% 124.39/124.83 Resimplifying inuse:
% 124.39/124.83 Done
% 124.39/124.83
% 124.39/124.83
% 124.39/124.83 Intermediate Status:
% 124.39/124.83 Generated: 511338
% 124.39/124.83 Kept: 116968
% 124.39/124.83 Inuse: 1432
% 124.39/124.83 Deleted: 1289
% 124.39/124.83 Deletedinuse: 5
% 124.39/124.83
% 124.39/124.83 Resimplifying inuse:
% 124.39/124.83 Done
% 124.39/124.83
% 124.39/124.83 Resimplifying inuse:
% 124.39/124.83 Done
% 124.39/124.83
% 124.39/124.83
% 124.39/124.83 Intermediate Status:
% 124.39/124.83 Generated: 526577
% 124.39/124.83 Kept: 122276
% 124.39/124.83 Inuse: 1457
% 124.39/124.83 Deleted: 1289
% 124.39/124.83 Deletedinuse: 5
% 124.39/124.83
% 124.39/124.83 Resimplifying inuse:
% 124.39/124.83 Done
% 124.39/124.83
% 124.39/124.83 Resimplifying clauses:
% 124.39/124.83 Done
% 124.39/124.83
% 124.39/124.83
% 124.39/124.83 Intermediate Status:
% 124.39/124.83 Generated: 538512
% 124.39/124.83 Kept: 125467
% 124.39/124.83 Inuse: 1462
% 124.39/124.83 Deleted: 1340
% 124.39/124.83 Deletedinuse: 5
% 124.39/124.83
% 124.39/124.83 Resimplifying inuse:
% 124.39/124.83 Done
% 124.39/124.83
% 124.39/124.83 Resimplifying inuse:
% 124.39/124.83 Done
% 124.39/124.83
% 124.39/124.83
% 124.39/124.83 Intermediate Status:
% 124.39/124.83 Generated: 544629
% 124.39/124.83 Kept: 127508
% 124.39/124.83 Inuse: 1473
% 124.39/124.83 Deleted: 1340
% 124.39/124.83 Deletedinuse: 5
% 124.39/124.83
% 124.39/124.83
% 124.39/124.83 Intermediate Status:
% 124.39/124.83 Generated: 556194
% 124.39/124.84 Kept: 130278
% 124.39/124.84 Inuse: 1477
% 124.39/124.84 Deleted: 1340
% 124.39/124.84 Deletedinuse: 5
% 124.39/124.84
% 124.39/124.84 Resimplifying inuse:
% 124.39/124.84 Done
% 124.39/124.84
% 124.39/124.84 Resimplifying inuse:
% 124.39/124.84 Done
% 124.39/124.84
% 124.39/124.84
% 124.39/124.84 Intermediate Status:
% 124.39/124.84 Generated: 570879
% 124.39/124.84 Kept: 137823
% 124.39/124.84 Inuse: 1504
% 124.39/124.84 Deleted: 1341
% 124.39/124.84 Deletedinuse: 5
% 124.39/124.84
% 124.39/124.84 Resimplifying inuse:
% 124.39/124.84 Done
% 124.39/124.84
% 124.39/124.84 Resimplifying inuse:
% 124.39/124.84 Done
% 124.39/124.84
% 124.39/124.84
% 124.39/124.84 Intermediate Status:
% 124.39/124.84 Generated: 579017
% 124.39/124.84 Kept: 140012
% 124.39/124.84 Inuse: 1531
% 124.39/124.84 Deleted: 1341
% 124.39/124.84 Deletedinuse: 5
% 124.39/124.84
% 124.39/124.84 Resimplifying inuse:
% 124.39/124.84 Done
% 124.39/124.84
% 124.39/124.84 Resimplifying inuse:
% 124.39/124.84 Done
% 124.39/124.84
% 124.39/124.84
% 124.39/124.84 Intermediate Status:
% 124.39/124.84 Generated: 586554
% 124.39/124.84 Kept: 142068
% 124.39/124.84 Inuse: 1556
% 124.39/124.84 Deleted: 1341
% 124.39/124.84 Deletedinuse: 5
% 124.39/124.84
% 124.39/124.84 Resimplifying clauses:
% 124.39/124.84 Done
% 124.39/124.84
% 124.39/124.84 Resimplifying inuse:
% 124.39/124.84 Done
% 124.39/124.84
% 124.39/124.84
% 124.39/124.84 Intermediate Status:
% 124.39/124.84 Generated: 600105
% 124.39/124.84 Kept: 147099
% 124.39/124.84 Inuse: 1571
% 124.39/124.84 Deleted: 1424
% 124.39/124.84 Deletedinuse: 5
% 124.39/124.84
% 124.39/124.84 Resimplifying inuse:
% 124.39/124.84 Done
% 124.39/124.84
% 124.39/124.84
% 124.39/124.84 Intermediate Status:
% 124.39/124.84 Generated: 608427
% 124.39/124.84 Kept: 149550
% 124.39/124.84 Inuse: 1581
% 124.39/124.84 Deleted: 1424
% 124.39/124.84 Deletedinuse: 5
% 124.39/124.84
% 124.39/124.84 Resimplifying inuse:
% 124.39/124.84 Done
% 124.39/124.84
% 124.39/124.84 Resimplifying inuse:
% 124.39/124.84 Done
% 124.39/124.84
% 124.39/124.84
% 124.39/124.84 Intermediate Status:
% 124.39/124.84 Generated: 617892
% 224.66/225.15 Kept: 151606
% 224.66/225.15 Inuse: 1611
% 224.66/225.15 Deleted: 1424
% 224.66/225.15 Deletedinuse: 5
% 224.66/225.15
% 224.66/225.15 Resimplifying inuse:
% 224.66/225.15 Done
% 224.66/225.15
% 224.66/225.15
% 224.66/225.15 Intermediate Status:
% 224.66/225.15 Generated: 624404
% 224.66/225.15 Kept: 154492
% 224.66/225.15 Inuse: 1616
% 224.66/225.15 Deleted: 1424
% 224.66/225.15 Deletedinuse: 5
% 224.66/225.15
% 224.66/225.15 Resimplifying inuse:
% 224.66/225.15 Done
% 224.66/225.15
% 224.66/225.15
% 224.66/225.15 Intermediate Status:
% 224.66/225.15 Generated: 636192
% 224.66/225.15 Kept: 156572
% 224.66/225.15 Inuse: 1621
% 224.66/225.15 Deleted: 1424
% 224.66/225.15 Deletedinuse: 5
% 224.66/225.15
% 224.66/225.15 Resimplifying inuse:
% 224.66/225.15 Done
% 224.66/225.15
% 224.66/225.15 *** allocated 9852435 integers for clauses
% 224.66/225.15
% 224.66/225.15 Intermediate Status:
% 224.66/225.15 Generated: 648461
% 224.66/225.15 Kept: 162505
% 224.66/225.15 Inuse: 1631
% 224.66/225.15 Deleted: 1424
% 224.66/225.15 Deletedinuse: 5
% 224.66/225.15
% 224.66/225.15 Resimplifying inuse:
% 224.66/225.15 Done
% 224.66/225.15
% 224.66/225.15 Resimplifying clauses:
% 224.66/225.15 Done
% 224.66/225.15
% 224.66/225.15 Resimplifying inuse:
% 224.66/225.15 Done
% 224.66/225.15
% 224.66/225.15
% 224.66/225.15 Intermediate Status:
% 224.66/225.15 Generated: 657821
% 224.66/225.15 Kept: 164576
% 224.66/225.15 Inuse: 1656
% 224.66/225.15 Deleted: 1513
% 224.66/225.15 Deletedinuse: 5
% 224.66/225.15
% 224.66/225.15 Resimplifying inuse:
% 224.66/225.15 Done
% 224.66/225.15
% 224.66/225.15 Resimplifying inuse:
% 224.66/225.15 Done
% 224.66/225.15
% 224.66/225.15
% 224.66/225.15 Intermediate Status:
% 224.66/225.15 Generated: 666991
% 224.66/225.15 Kept: 166620
% 224.66/225.15 Inuse: 1681
% 224.66/225.15 Deleted: 1513
% 224.66/225.15 Deletedinuse: 5
% 224.66/225.15
% 224.66/225.15 Resimplifying inuse:
% 224.66/225.15 Done
% 224.66/225.15
% 224.66/225.15 Resimplifying inuse:
% 224.66/225.15 Done
% 224.66/225.15
% 224.66/225.15
% 224.66/225.15 Intermediate Status:
% 224.66/225.15 Generated: 676597
% 224.66/225.15 Kept: 168702
% 224.66/225.15 Inuse: 1706
% 224.66/225.15 Deleted: 1513
% 224.66/225.15 Deletedinuse: 5
% 224.66/225.15
% 224.66/225.15 Resimplifying inuse:
% 224.66/225.15 Done
% 224.66/225.15
% 224.66/225.15
% 224.66/225.15 Intermediate Status:
% 224.66/225.15 Generated: 686715
% 224.66/225.15 Kept: 171087
% 224.66/225.15 Inuse: 1721
% 224.66/225.15 Deleted: 1513
% 224.66/225.15 Deletedinuse: 5
% 224.66/225.15
% 224.66/225.15 Resimplifying inuse:
% 224.66/225.15 Done
% 224.66/225.15
% 224.66/225.15
% 224.66/225.15 Intermediate Status:
% 224.66/225.15 Generated: 697857
% 224.66/225.15 Kept: 174653
% 224.66/225.15 Inuse: 1726
% 224.66/225.15 Deleted: 1513
% 224.66/225.15 Deletedinuse: 5
% 224.66/225.15
% 224.66/225.15 Resimplifying inuse:
% 224.66/225.15 Done
% 224.66/225.15
% 224.66/225.15
% 224.66/225.15 Intermediate Status:
% 224.66/225.15 Generated: 708530
% 224.66/225.15 Kept: 176889
% 224.66/225.15 Inuse: 1736
% 224.66/225.15 Deleted: 1513
% 224.66/225.15 Deletedinuse: 5
% 224.66/225.15
% 224.66/225.15 Resimplifying inuse:
% 224.66/225.15 Done
% 224.66/225.15
% 224.66/225.15 Resimplifying inuse:
% 224.66/225.15 Done
% 224.66/225.15
% 224.66/225.15
% 224.66/225.15 Intermediate Status:
% 224.66/225.15 Generated: 718496
% 224.66/225.15 Kept: 179221
% 224.66/225.15 Inuse: 1746
% 224.66/225.15 Deleted: 1513
% 224.66/225.15 Deletedinuse: 5
% 224.66/225.15
% 224.66/225.15 Resimplifying inuse:
% 224.66/225.15 Done
% 224.66/225.15
% 224.66/225.15
% 224.66/225.15 Intermediate Status:
% 224.66/225.15 Generated: 725580
% 224.66/225.15 Kept: 182775
% 224.66/225.15 Inuse: 1753
% 224.66/225.15 Deleted: 1513
% 224.66/225.15 Deletedinuse: 5
% 224.66/225.15
% 224.66/225.15 Resimplifying inuse:
% 224.66/225.15 Done
% 224.66/225.15
% 224.66/225.15 Resimplifying clauses:
% 224.66/225.15 Done
% 224.66/225.15
% 224.66/225.15 Resimplifying inuse:
% 224.66/225.15 Done
% 224.66/225.15
% 224.66/225.15 *** allocated 6568290 integers for termspace/termends
% 224.66/225.15
% 224.66/225.15 Intermediate Status:
% 224.66/225.15 Generated: 737356
% 224.66/225.15 Kept: 184910
% 224.66/225.15 Inuse: 1781
% 224.66/225.15 Deleted: 1599
% 224.66/225.15 Deletedinuse: 5
% 224.66/225.15
% 224.66/225.15 Resimplifying inuse:
% 224.66/225.15 Done
% 224.66/225.15
% 224.66/225.15 Resimplifying inuse:
% 224.66/225.15 Done
% 224.66/225.15
% 224.66/225.15
% 224.66/225.15 Intermediate Status:
% 224.66/225.15 Generated: 748921
% 224.66/225.15 Kept: 187148
% 224.66/225.15 Inuse: 1801
% 224.66/225.15 Deleted: 1599
% 224.66/225.15 Deletedinuse: 5
% 224.66/225.15
% 224.66/225.15 Resimplifying inuse:
% 224.66/225.15 Done
% 224.66/225.15
% 224.66/225.15 Resimplifying inuse:
% 224.66/225.15 Done
% 224.66/225.15
% 224.66/225.15
% 224.66/225.15 Intermediate Status:
% 224.66/225.15 Generated: 757435
% 224.66/225.15 Kept: 189155
% 224.66/225.15 Inuse: 1821
% 224.66/225.15 Deleted: 1599
% 224.66/225.15 Deletedinuse: 5
% 224.66/225.15
% 224.66/225.15 Resimplifying inuse:
% 224.66/225.15 Done
% 224.66/225.15
% 224.66/225.15 Resimplifying inuse:
% 224.66/225.15 Done
% 224.66/225.15
% 224.66/225.15
% 224.66/225.15 Intermediate Status:
% 224.66/225.15 Generated: 764877
% 224.66/225.15 Kept: 191187
% 224.66/225.15 Inuse: 1849
% 224.66/225.15 Deleted: 1599
% 224.66/225.15 Deletedinuse: 5
% 224.66/225.15
% 224.66/225.15 Resimplifying inuse:
% 224.66/225.15 Done
% 224.66/225.15
% 224.66/225.15 Resimplifying inuse:
% 224.66/225.15 Done
% 224.66/225.15
% 224.66/225.15
% 224.66/225.15 Intermediate Status:
% 224.66/225.15 Generated: 772224
% 224.66/225.15 Kept: 193347
% 224.66/225.15 Inuse: 1876
% 224.66/225.15 Deleted: 1599
% 224.66/225.15 Deletedinuse: 5
% 224.66/225.15
% 224.66/225.15 Resimplifying inuse:
% 224.66/225.15 Done
% 224.66/225.15
% 224.66/225.15 Resimplifying inuse:
% 224.66/225.15 Done
% 224.66/225.15
% 224.66/225.15
% 224.66/225.15 Intermediate Status:
% 224.66/225.15 Generated: 778508
% 224.66/225.15 Kept: 195546
% 224.66/225.15 Inuse: 1909
% 224.66/225.15 Deleted: 1606
% 224.66/225.15 Deletedinuse: 5
% 224.66/225.15
% 224.66/225.15 Resimplifying inuse:
% 224.66/225.15 Done
% 224.66/225.15
% 224.66/225.15 Resimplifying inuse:
% 224.66/225.15 Done
% 224.66/225.15
% 224.66/225.15
% 224.66/225.15 Intermediate Status:
% 224.66/225.15 Generated: 787808
% 224.66/225.15 Kept: 199985
% 224.66/225.15 Inuse: 1919
% 224.66/225.15 Deleted: 1612
% 224.66/225.15 Deletedinuse: 5
% 224.66/225.15
% 224.66/225.15 Resimplifying inuse:
% 224.66/225.15 Done
% 224.66/225.15
% 224.66/225.15 Resimplifying inuse:
% 224.66/225.15 Done
% 224.66/225.15
% 224.66/225.15
% 224.66/225.15 Intermediate Status:
% 224.66/225.15 Generated: 805126
% 224.66/225.15 Kept: 203010
% 224.66/225.15 Inuse: 1928
% 224.66/225.15 Deleted: 1612
% 224.66/225.15 Deletedinuse: 5
% 224.66/225.15
% 224.66/225.15 Resimplifying inuse:
% 224.66/225.15 Done
% 224.66/225.15
% 224.66/225.15 Resimplifying clauses:
% 224.66/225.15 Done
% 224.66/225.15
% 224.66/225.15 Resimplifying inuse:
% 224.66/225.15 Done
% 224.66/225.15
% 224.66/225.15
% 224.66/225.15 Intermediate Status:
% 224.66/225.15 Generated: 816378
% 224.66/225.15 Kept: 205176
% 224.66/225.15 Inuse: 1948
% 224.66/225.15 Deleted: 1746
% 224.66/225.15 Deletedinuse: 5
% 224.66/225.15
% 224.66/225.15 Resimplifying inuse:
% 224.66/225.15 Done
% 224.66/225.15
% 224.66/225.15 Resimplifying inuse:
% 224.66/225.15 Done
% 224.66/225.15
% 224.66/225.15
% 224.66/225.15 Intermediate Status:
% 224.66/225.15 Generated: 824733
% 224.66/225.15 Kept: 207368
% 224.66/225.15 Inuse: 1968
% 224.66/225.15 Deleted: 1746
% 224.66/225.15 Deletedinuse: 5
% 224.66/225.15
% 224.66/225.15 Resimplifying inuse:
% 224.66/225.15 Done
% 224.66/225.15
% 224.66/225.15
% 224.66/225.15 Intermediate Status:
% 224.66/225.15 Generated: 832500
% 224.66/225.15 Kept: 210124
% 224.66/225.15 Inuse: 1973
% 224.66/225.15 Deleted: 1747
% 224.66/225.15 Deletedinuse: 6
% 224.66/225.15
% 224.66/225.15 Resimplifying inuse:
% 224.66/225.15 Done
% 224.66/225.15
% 224.66/225.15 Resimplifying inuse:
% 224.66/225.15 Done
% 224.66/225.15
% 224.66/225.15
% 224.66/225.15 Intermediate Status:
% 224.66/225.15 Generated: 845478
% 224.66/225.15 Kept: 215624
% 224.66/225.15 Inuse: 2001
% 224.66/225.15 Deleted: 1749
% 224.66/225.15 Deletedinuse: 6
% 224.66/225.15
% 224.66/225.15 Resimplifying inuse:
% 224.66/225.15 Done
% 224.66/225.15
% 224.66/225.15
% 224.66/225.15 Intermediate Status:
% 224.66/225.15 Generated: 85Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------