TSTP Solution File: SWW229+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWW229+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.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 23:21:24 EDT 2022
% Result : Timeout 300.07s 300.54s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW229+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sun Jun 5 19:37:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.92/1.47 *** allocated 10000 integers for termspace/termends
% 0.92/1.47 *** allocated 10000 integers for clauses
% 0.92/1.47 *** allocated 10000 integers for justifications
% 0.92/1.47 *** allocated 15000 integers for termspace/termends
% 0.92/1.47 *** allocated 22500 integers for termspace/termends
% 0.92/1.47 Bliksem 1.12
% 0.92/1.47
% 0.92/1.47
% 0.92/1.47 Automatic Strategy Selection
% 0.92/1.47
% 0.92/1.47 *** allocated 33750 integers for termspace/termends
% 0.92/1.47 *** allocated 50625 integers for termspace/termends
% 0.92/1.47 *** allocated 75937 integers for termspace/termends
% 0.92/1.47 *** allocated 113905 integers for termspace/termends
% 0.92/1.47
% 0.92/1.47 Clauses:
% 0.92/1.47
% 0.92/1.47 { ! hAPP( Y, skol1( X, Y ) ) = hAPP( X, skol1( X, Y ) ), Y = X }.
% 0.92/1.47 { c_SEQ_Osubseq( v_f____ ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, v_g____( X ) ), v_r
% 0.92/1.47 ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, v_w____ ), v_r ) }
% 0.92/1.47 .
% 0.92/1.47 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ), hAPP(
% 0.92/1.47 v_f____, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) )
% 0.92/1.47 ) }.
% 0.92/1.47 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.92/1.47 ( X, Y ) ) ), c_RealVector_Onorm__class_Onorm( X,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) ) }.
% 0.92/1.47 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.92/1.47 ( X, Y ) ), c_RealVector_Onorm__class_Onorm( X,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) ) }.
% 0.92/1.47 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.92/1.47 ( X, Y ) ), c_RealVector_Onorm__class_Onorm( X,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( X, Z, Y ) ) ) }.
% 0.92/1.47 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.92/1.47 , Y ) ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X, U,
% 0.92/1.47 Z ) ), c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus
% 0.92/1.47 ( X, T, Y ) ) ) ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( X, Z, Y ) ), c_Groups_Oplus__class_Oplus(
% 0.92/1.47 X, c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) )
% 0.92/1.47 ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( X, c_Groups_Oplus__class_Oplus( X, U, T )
% 0.92/1.47 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) ), c_Groups_Oplus__class_Oplus
% 0.92/1.47 ( X, c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, U, Z
% 0.92/1.47 ) ), c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, T,
% 0.92/1.47 Y ) ) ) ) }.
% 0.92/1.47 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.92/1.47 ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.92/1.47 ( X, Y ) ) ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.92/1.47 c_Groups_Oabs__class_Oabs( X, Y ) ) ), c_Groups_Oabs__class_Oabs( X,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X,
% 0.92/1.47 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ),
% 0.92/1.47 c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Z, Y ) )
% 0.92/1.47 ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X,
% 0.92/1.47 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ),
% 0.92/1.47 c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Y, Z ) )
% 0.92/1.47 ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Z, Y ) ), X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, T ) ),
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs
% 0.92/1.47 ( tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Z, T
% 0.92/1.47 ) ), X ) ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), v_r ) }.
% 0.92/1.47 { c_RealVector_Onorm__class_Onorm( tc_RealDef_Oreal, X ) =
% 0.92/1.47 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ),
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, Y, X ) ),
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ) ) }.
% 0.92/1.47 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X, Z,
% 0.92/1.47 Y ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.92/1.47 ( X, Y ) ) ) }.
% 0.92/1.47 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.92/1.47 c_Groups_Oplus__class_Oplus( X, Z, T ) = c_Groups_Oplus__class_Oplus( X,
% 0.92/1.47 Y, T ), Z = Y }.
% 0.92/1.47 { ! class_Groups_Ocancel__ab__semigroup__add( X ), !
% 0.92/1.47 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.92/1.47 T, Y ), Z = Y }.
% 0.92/1.47 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.92/1.47 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.92/1.47 T, Y ), Z = Y }.
% 0.92/1.47 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.92/1.47 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.92/1.47 Y, Z ), T = Y }.
% 0.92/1.47 { ! class_Groups_Ocancel__semigroup__add( X ), ! T = Y,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.92/1.47 Y, Z ) }.
% 0.92/1.47 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.92/1.47 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.92/1.47 T, Y ), Z = Y }.
% 0.92/1.47 { ! class_Groups_Ocancel__semigroup__add( X ), ! Z = Y,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.92/1.47 T, Y ) }.
% 0.92/1.47 { ! class_Groups_Oab__semigroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.92/1.47 ( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y ) ) }.
% 0.92/1.47 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.92/1.47 U, T ) = c_Groups_Ominus__class_Ominus( X, Z, Y ), ! U = T, Z = Y }.
% 0.92/1.47 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.92/1.47 U, T ) = c_Groups_Ominus__class_Ominus( X, Z, Y ), ! Z = Y, U = T }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.92/1.47 c_Groups_Oabs__class_Oabs( X, c_Groups_Oabs__class_Oabs( X, Y ) ) =
% 0.92/1.47 c_Groups_Oabs__class_Oabs( X, Y ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.92/1.47 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.92/1.47 T ), c_Groups_Oplus__class_Oplus( X, Y, T ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.92/1.47 U ), c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.92/1.47 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.92/1.47 T ), c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.92/1.47 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.92/1.47 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.92/1.47 Z ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.92/1.47 Z ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.47 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.92/1.47 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.47 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.92/1.47 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, U, T ) }.
% 0.92/1.47 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( X, Z, Y ), Y ) = Z }.
% 0.92/1.47 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( X, Z, Y ), Y ) = Z }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.92/1.47 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Oabs__class_Oabs( X, Y
% 0.92/1.47 ) ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.92/1.47 c_Groups_Oabs__class_Oabs( X, c_Groups_Oplus__class_Oplus( X,
% 0.92/1.47 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ) )
% 0.92/1.47 = c_Groups_Oplus__class_Oplus( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.92/1.47 c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.92/1.47 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X, Z,
% 0.92/1.47 Y ) ) = c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus
% 0.92/1.47 ( X, Y, Z ) ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.92/1.47 c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Z, Y ) )
% 0.92/1.47 = c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Y, Z )
% 0.92/1.47 ) }.
% 0.92/1.47 { ! class_RealVector_Oreal__normed__vector( X ), c_Groups_Oabs__class_Oabs
% 0.92/1.47 ( tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( X, Y ) ) =
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( X, Y ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( X, Z, Y ) ), c_Groups_Oplus__class_Oplus( X
% 0.92/1.47 , c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) )
% 0.92/1.47 ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, v_N1____, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, v_g____( hAPP(
% 0.92/1.47 v_f____, X ) ), v_z____ ) ), v_d____ ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, Z ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y ) ), Z ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, Y, X ) ),
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ) ),
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ) }.
% 0.92/1.47 { ! c_SEQ_Osubseq( X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.92/1.47 hAPP( X, Y ) ) }.
% 0.92/1.47 { ! class_Orderings_Opreorder( X ), c_Orderings_Oord__class_Oless__eq( X, Y
% 0.92/1.47 , Y ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.92/1.47 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_g____( hAPP( v_f____,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ) )
% 0.92/1.47 }.
% 0.92/1.47 { ! class_Rings_Ocomm__ring( X ), hAPP( c_Polynomial_Opoly( X,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Polynomial_Opoly( X ), T, Z ) ), Y ) =
% 0.92/1.47 c_Groups_Ominus__class_Ominus( X, hAPP( c_Polynomial_Opoly( X, T ), Y ),
% 0.92/1.47 hAPP( c_Polynomial_Opoly( X, Z ), Y ) ) }.
% 0.92/1.47 { ! class_Rings_Ocomm__semiring__0( X ), hAPP( c_Polynomial_Opoly( X,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Polynomial_Opoly( X ), T, Z ) ), Y ) =
% 0.92/1.47 c_Groups_Oplus__class_Oplus( X, hAPP( c_Polynomial_Opoly( X, T ), Y ),
% 0.92/1.47 hAPP( c_Polynomial_Opoly( X, Z ), Y ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, Y ),
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, X ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.92/1.47 tc_Nat_Onat, Z, Y ), X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.92/1.47 tc_Nat_Onat, X, Z ), Y ) ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), v_d____ ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.47 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.92/1.47 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_z____ ) ),
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ), v_r ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.92/1.47 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), X ) ) ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.92/1.47 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_g____( X ) ) ) ) }.
% 0.92/1.47 { ! alpha1( Y ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, Y )
% 0.92/1.47 , c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, v_s____ ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, v_s____ ), alpha1(
% 0.92/1.47 skol2( Y ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, v_s____ ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, skol2( X ) ) }.
% 0.92/1.47 { ! alpha1( X ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol3( Y ) ), v_r )
% 0.92/1.47 }.
% 0.92/1.47 { ! alpha1( X ), c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP
% 0.92/1.47 ( c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), skol3( X ) ) ) =
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ), v_r ), !
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.92/1.47 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), Y ) ) =
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ), alpha1( X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, skol4( X ), Y ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, v_g____( hAPP(
% 0.92/1.47 v_f____, Y ) ), v_z____ ) ), X ) }.
% 0.92/1.47 { ! class_Groups_Ogroup__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.47 { ! class_Groups_Oabs__if( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ) ), c_Groups_Oabs__class_Oabs( X, Y ) =
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.92/1.47 { ! class_Groups_Oabs__if( X ), c_Orderings_Oord__class_Oless( X, Y,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ) ), c_Groups_Oabs__class_Oabs( X, Y ) = Y
% 0.92/1.47 }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.92/1.47 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) =
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.92/1.47 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) = X }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.92/1.47 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) =
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.92/1.47 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) = X }.
% 0.92/1.47 { ! class_Groups_Ogroup__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( X, Y ) ) = Y }.
% 0.92/1.47 { ! class_Groups_Ozero( X ), ! c_Groups_Ozero__class_Ozero( X ) = Y, Y =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.47 { ! class_Groups_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ) = Y }.
% 0.92/1.47 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( X, Y ) ), ! Y =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.47 { ! class_RealVector_Oreal__normed__vector( X ), Y =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless(
% 0.92/1.47 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( X, Y ) ) }.
% 0.92/1.47 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ozero__class_Ozero( X ) =
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( X, Y ), c_Groups_Ozero__class_Ozero( X )
% 0.92/1.47 = Y }.
% 0.92/1.47 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ozero__class_Ozero( X ) = Y,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ) = c_Groups_Ouminus__class_Ouminus( X, Y
% 0.92/1.47 ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.92/1.47 ( X, Y, c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ) }.
% 0.92/1.47 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( X, Y ), Y = c_Groups_Ozero__class_Ozero
% 0.92/1.47 ( X ) }.
% 0.92/1.47 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ouminus__class_Ouminus( X
% 0.92/1.47 , Y ) }.
% 0.92/1.47 { ! class_Groups_Ogroup__add( X ), ! Z = c_Groups_Ouminus__class_Ouminus( X
% 0.92/1.47 , Y ), Y = c_Groups_Ouminus__class_Ouminus( X, Z ) }.
% 0.92/1.47 { ! class_Groups_Ogroup__add( X ), ! Y = c_Groups_Ouminus__class_Ouminus( X
% 0.92/1.47 , Z ), Z = c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.92/1.47 Y ) ), c_Orderings_Oord__class_Oless( X, Y,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ouminus__class_Ouminus( X,
% 0.92/1.47 Z ) ), c_Orderings_Oord__class_Oless( X, Z,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.92/1.47 , c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.92/1.47 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.47 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ouminus__class_Ouminus( X, Y
% 0.92/1.47 ) = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X
% 0.92/1.47 ) }.
% 0.92/1.47 { ! class_Groups_Ogroup__add( X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.92/1.47 ) }.
% 0.92/1.47 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.92/1.47 , Y ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.47 , Y ) }.
% 0.92/1.47 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.92/1.47 , Y ) }.
% 0.92/1.47 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( X, Y ) = Y, Y =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.47 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.92/1.47 = Y }.
% 0.92/1.47 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ouminus__class_Ouminus( X, Z
% 0.92/1.47 ) = Y, c_Groups_Ouminus__class_Ouminus( X, Y ) = Z }.
% 0.92/1.47 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ouminus__class_Ouminus( X, Y
% 0.92/1.47 ) = Z, c_Groups_Ouminus__class_Ouminus( X, Z ) = Y }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.92/1.47 , Y ), c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus
% 0.92/1.47 ( X, Y ), Z ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.92/1.47 , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus
% 0.92/1.47 ( X, Z ), Y ) }.
% 0.92/1.47 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ouminus__class_Ouminus( X, Z
% 0.92/1.47 ) = c_Groups_Ouminus__class_Ouminus( X, Y ), Z = Y }.
% 0.92/1.47 { ! class_Groups_Ogroup__add( X ), ! Z = Y, c_Groups_Ouminus__class_Ouminus
% 0.92/1.47 ( X, Z ) = c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.92/1.47 , c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, Y, Z ), c_Orderings_Oord__class_Oless(
% 0.92/1.47 X, c_Groups_Ouminus__class_Ouminus( X, Z ),
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.92/1.47 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Oplus__class_Oplus( X, Z, Y )
% 0.92/1.47 = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ouminus__class_Ouminus
% 0.92/1.47 ( X, Z ) }.
% 0.92/1.47 { ! class_Groups_Ogroup__add( X ), ! Y = c_Groups_Ouminus__class_Ouminus( X
% 0.92/1.47 , Z ), c_Groups_Oplus__class_Oplus( X, Z, Y ) =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.47 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X =
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) }.
% 0.92/1.47 { ! X = c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ),
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.92/1.47 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.92/1.47 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ), Y ) }.
% 0.92/1.47 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y = X }.
% 0.92/1.47 { ! Y = X, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.92/1.47 c_Groups_Oabs__class_Oabs( X, Y ) = c_Groups_Ouminus__class_Ouminus( X, Y
% 0.92/1.47 ) }.
% 0.92/1.47 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.92/1.47 ), Z = Y, c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.92/1.47 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.92/1.47 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.92/1.47 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.92/1.47 , ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.92/1.47 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.92/1.47 Y ), ! c_Orderings_Oord__class_Oless( X, Y, T ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.92/1.47 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.92/1.47 , ! Z = T, c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.92/1.47 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y ),
% 0.92/1.47 ! Y = T, c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.92/1.47 { ! class_Orderings_Oorder( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless(
% 0.92/1.47 X, T, Y ), c_Orderings_Oord__class_Oless( X, T, Z ) }.
% 0.92/1.47 { ! class_Orderings_Oord( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless( X
% 0.92/1.47 , Y, T ), c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.92/1.47 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.92/1.47 , ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.92/1.47 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.92/1.47 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.92/1.47 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.92/1.47 , ! Y = Z }.
% 0.92/1.47 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.92/1.47 , ! Z = Y }.
% 0.92/1.47 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.92/1.47 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.92/1.47 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.92/1.47 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.92/1.47 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.92/1.47 , ! Z = Y }.
% 0.92/1.47 { ! class_Orderings_Olinorder( X ), Z = Y, c_Orderings_Oord__class_Oless( X
% 0.92/1.47 , Z, Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.92/1.47 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.92/1.47 ), c_Orderings_Oord__class_Oless( X, Y, Z ), Y = Z }.
% 0.92/1.47 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.92/1.47 ), ! Y = Z, ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.92/1.47 { ! class_Rings_Ocomm__ring( X ), hAPP( c_Polynomial_Opoly( X,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_Polynomial_Opoly( X ), Z ) ), Y ) =
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( X, hAPP( c_Polynomial_Opoly( X, Z ), Y )
% 0.92/1.47 ) }.
% 0.92/1.47 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.92/1.47 ), Z = Y, c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.92/1.47 { ! class_Rings_Ocomm__semiring__0( X ), hAPP( c_Polynomial_Opoly( X,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ), Y ) =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.47 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.92/1.47 ), c_Orderings_Oord__class_Oless( X, Y, Z ), Z = Y }.
% 0.92/1.47 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.92/1.47 Z ), ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.92/1.47 { ! class_Orderings_Olinorder( X ), ! Z = Y, !
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.92/1.47 { ! class_Orderings_Olinorder( X ), Z = Y, c_Orderings_Oord__class_Oless( X
% 0.92/1.47 , Z, Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.92/1.47 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.92/1.47 Y ), ! Z = Y }.
% 0.92/1.47 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.92/1.47 Z ), ! Z = Y }.
% 0.92/1.47 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.92/1.47 Y ) }.
% 0.92/1.47 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.92/1.47 , Y ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.92/1.47 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.47 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus
% 0.92/1.47 ( X, Y ), Y ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.92/1.47 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.47 ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.47 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus
% 0.92/1.47 ( X, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.47 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ouminus__class_Ouminus
% 0.92/1.47 ( X, Y ) ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.47 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.47 ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.47 ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.47 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.92/1.47 ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.92/1.47 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Oplus__class_Oplus( X, Z, Y )
% 0.92/1.47 = c_Groups_Ozero__class_Ozero( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.92/1.47 Z ) = Y }.
% 0.92/1.47 { ! class_Groups_Oab__group__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( X, Y ), Y ) =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.47 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( X, Y ), Y ) =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.47 { ! class_Groups_Ogroup__add( X ), ! Z = c_Groups_Ouminus__class_Ouminus( X
% 0.92/1.47 , Y ), c_Groups_Oplus__class_Oplus( X, Z, Y ) =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.47 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Oplus__class_Oplus( X, Z, Y )
% 0.92/1.47 = c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ouminus__class_Ouminus
% 0.92/1.47 ( X, Y ) }.
% 0.92/1.47 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X, Y,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( X, Y ) ) = c_Groups_Ozero__class_Ozero(
% 0.92/1.47 X ) }.
% 0.92/1.47 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ouminus__class_Ouminus(
% 0.92/1.47 X, Y ) }.
% 0.92/1.47 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.92/1.47 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.92/1.47 , c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.92/1.47 ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.47 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.92/1.47 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.92/1.47 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.47 c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.92/1.47 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.92/1.47 , c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Y
% 0.92/1.47 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.47 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.92/1.47 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.47 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.47 c_Groups_Oplus__class_Oplus( X, Y, Y ) ), c_Orderings_Oord__class_Oless(
% 0.92/1.47 X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.92/1.47 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.47 c_Groups_Oplus__class_Oplus( X, Y, Y ) ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.92/1.47 X, c_Groups_Ominus__class_Ominus( X, Z, Y ), c_Groups_Ozero__class_Ozero
% 0.92/1.47 ( X ) ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, c_Groups_Ominus__class_Ominus( X, Z, Y
% 0.92/1.47 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.92/1.47 , Z, Y ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.92/1.47 c_Groups_Oabs__class_Oabs( X, Y ) = Y }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.47 c_Groups_Oabs__class_Oabs( X, Y ) ), ! Y = c_Groups_Ozero__class_Ozero( X
% 0.92/1.47 ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add__abs( X ), Y =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, c_Groups_Oabs__class_Oabs( X, Y ),
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.47 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( X, Y ), c_Groups_Ozero__class_Ozero(
% 0.92/1.47 tc_RealDef_Oreal ) ) }.
% 0.92/1.47 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.92/1.47 ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.92/1.47 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.47 , Y, Z ), ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.92/1.47 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.92/1.47 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.92/1.47 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.92/1.47 Z ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.92/1.47 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.92/1.47 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.92/1.47 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.92/1.47 , c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.92/1.47 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.92/1.47 , ! Z = Y }.
% 0.92/1.47 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.92/1.47 , Y ), Z = Y, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.92/1.47 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.92/1.47 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.92/1.47 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.92/1.47 Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.92/1.47 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.47 , Z, Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.92/1.47 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.92/1.47 , Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.92/1.47 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.92/1.47 , c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.92/1.47 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.92/1.47 ( X, Z, Y ) }.
% 0.92/1.47 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.92/1.47 ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.92/1.47 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.92/1.47 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.92/1.47 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.92/1.47 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ), Z = Y }.
% 0.92/1.47 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.92/1.47 ), ! Z = Y, c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.92/1.47 { ! class_Orderings_Oorder( X ), Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.92/1.47 ( X, Z, Y ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.92/1.47 { ! class_Orderings_Oorder( X ), Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.92/1.47 ( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.92/1.47 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.47 , Z, Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.92/1.47 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.92/1.47 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.92/1.47 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.47 , Z, Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.92/1.47 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.47 , Z, Y ), ! Z = Y, ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.92/1.47 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.92/1.47 , Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.92/1.47 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.92/1.47 , Y ), Z = Y, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.92/1.47 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.92/1.47 , Y ), Y = Z, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.92/1.47 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.92/1.47 Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, T ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.92/1.47 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.92/1.47 , ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.92/1.47 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.47 , Z, Y ), ! c_Orderings_Oord__class_Oless( X, Y, T ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.92/1.47 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.92/1.47 , Y ), ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.92/1.47 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( X, Y ) = c_Groups_Ozero__class_Ozero(
% 0.92/1.47 tc_RealDef_Oreal ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.47 { ! class_RealVector_Oreal__normed__vector( X ), ! Y =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ), c_RealVector_Onorm__class_Onorm( X, Y )
% 0.92/1.47 = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.92/1.47 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), ! Y = X }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), Y = X,
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), Y = X }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.92/1.47 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ) }.
% 0.92/1.47 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.92/1.47 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.47 , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.47 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.92/1.47 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.47 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.47 , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.47 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.92/1.47 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.92/1.47 ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.92/1.47 ) ) }.
% 0.92/1.47 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.47 ), ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.92/1.47 ) ) }.
% 0.92/1.47 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.92/1.47 ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.92/1.47 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.92/1.47 , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.47 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.47 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.92/1.47 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.92/1.47 , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.92/1.47 , c_Groups_Oabs__class_Oabs( X, Y ) ), c_Groups_Ozero__class_Ozero( X ) )
% 0.92/1.47 }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.47 ), c_Groups_Oabs__class_Oabs( X, Y ) = c_Groups_Ouminus__class_Ouminus(
% 0.92/1.47 X, Y ) }.
% 0.92/1.47 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( X, Y ), c_Groups_Ozero__class_Ozero(
% 0.92/1.47 tc_RealDef_Oreal ) ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.47 { ! class_RealVector_Oreal__normed__vector( X ), ! Y =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless__eq(
% 0.92/1.47 tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( X, Y ),
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ouminus__class_Ouminus
% 0.92/1.47 ( X, Y ) ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ouminus__class_Ouminus
% 0.92/1.47 ( X, Z ) ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.92/1.47 , Z ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( X, Y ), Z ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.92/1.47 , Y ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.92/1.47 , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, Y, Z ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.92/1.47 , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.92/1.47 , Y ), c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.92/1.47 { ! class_Groups_Oab__group__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X
% 0.92/1.47 , c_Groups_Ouminus__class_Ouminus( X, Z ),
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.92/1.47 { ! class_Groups_Ogroup__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X
% 0.92/1.47 , c_Groups_Ouminus__class_Ouminus( X, Y ),
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.92/1.47 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X, Z,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( X, c_Groups_Ouminus__class_Ouminus( X, Z ),
% 0.92/1.47 Y ) ) = Y }.
% 0.92/1.47 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( X, Z ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.47 Z, Y ) ) = Y }.
% 0.92/1.47 { ! class_Groups_Oab__group__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) =
% 0.92/1.47 c_Groups_Ominus__class_Ominus( X, Y, Z ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.92/1.47 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ), c_Orderings_Oord__class_Oless
% 0.92/1.47 ( X, T, Y ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, T, Y ), c_Orderings_Oord__class_Oless(
% 0.92/1.47 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.92/1.47 , Y, Z ) ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.92/1.47 , c_Groups_Oplus__class_Oplus( X, T, Y ) ), c_Orderings_Oord__class_Oless
% 0.92/1.47 ( X, Z, Y ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.92/1.47 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.92/1.47 , T, Y ) ) }.
% 0.92/1.47 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.92/1.47 X, c_Groups_Oplus__class_Oplus( X, Z, T ), c_Groups_Oplus__class_Oplus( X
% 0.92/1.47 , Y, T ) ) }.
% 0.92/1.47 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.92/1.47 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.92/1.47 , T, Y ) ) }.
% 0.92/1.47 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.92/1.47 ( X, U, T ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( X, Z, U ), c_Groups_Oplus__class_Oplus( X, Y
% 0.92/1.47 , T ) ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Z, T )
% 0.92/1.47 , c_Groups_Oplus__class_Oplus( X, Y, T ) ), c_Orderings_Oord__class_Oless
% 0.92/1.47 ( X, Z, Y ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.92/1.47 , c_Groups_Oplus__class_Oplus( X, T, Y ) ), c_Orderings_Oord__class_Oless
% 0.92/1.47 ( X, Z, Y ) }.
% 0.92/1.47 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ouminus__class_Ouminus( X, Y
% 0.92/1.47 ) ) = c_RealVector_Onorm__class_Onorm( X, Y ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.92/1.47 c_Groups_Oabs__class_Oabs( X, c_Groups_Ouminus__class_Ouminus( X, Y ) ) =
% 0.92/1.47 c_Groups_Oabs__class_Oabs( X, Y ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.47 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.92/1.47 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, U, T ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.47 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.92/1.47 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, Z, Y ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, U, T ) }.
% 0.92/1.47 { ! class_Groups_Omonoid__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.92/1.47 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.92/1.47 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ) = c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.92/1.47 , Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.47 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ozero__class_Ozero( X ) =
% 0.92/1.47 c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 0.92/1.47 { ! class_Groups_Omonoid__add( X ), c_Groups_Oplus__class_Oplus( X, Y,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.92/1.47 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.92/1.47 , c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.92/1.47 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Y,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.92/1.47 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Y, Y )
% 0.92/1.47 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.47 { ! class_Groups_Oab__group__add( X ), ! Z = Y,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.92/1.47 ) }.
% 0.92/1.47 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.92/1.47 Z, Y ) = c_Groups_Ozero__class_Ozero( X ), Z = Y }.
% 0.92/1.47 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ominus__class_Ominus( X, Z, Y
% 0.92/1.47 ) = c_Groups_Ozero__class_Ozero( X ), Z = Y }.
% 0.92/1.47 { ! class_Groups_Ogroup__add( X ), ! Z = Y, c_Groups_Ominus__class_Ominus(
% 0.92/1.47 X, Z, Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.92/1.47 c_Groups_Oabs__class_Oabs( X, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.92/1.47 c_Groups_Oabs__class_Oabs( X, Y ) = c_Groups_Ozero__class_Ozero( X ), Y =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add__abs( X ), ! Y =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oabs__class_Oabs( X, Y ) =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ),
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ), X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ), Y ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ), X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ), Y ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ), X ) }.
% 0.92/1.47 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ) =
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) }.
% 0.92/1.47 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ) =
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) }.
% 0.92/1.47 { c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus
% 0.92/1.47 ( tc_RealDef_Oreal, Y, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal
% 0.92/1.47 , X ) ) ) = c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ),
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ),
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.92/1.47 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Z, Y )
% 0.92/1.47 = c_Groups_Oplus__class_Oplus( X, Z, c_Groups_Ouminus__class_Ouminus( X
% 0.92/1.47 , Y ) ) }.
% 0.92/1.47 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus( X, Z
% 0.92/1.47 , Y ) = c_Groups_Oplus__class_Oplus( X, Z,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.92/1.47 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Z,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( X, Y ) ) = c_Groups_Oplus__class_Oplus(
% 0.92/1.47 X, Z, Y ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.92/1.47 , Y ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.92/1.47 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.92/1.47 Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.92/1.47 , Z ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.47 c_Groups_Oabs__class_Oabs( X, Z ), Y ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.92/1.47 , Z ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.47 c_Groups_Oabs__class_Oabs( X, Z ), Y ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.92/1.47 Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) }.
% 0.92/1.47 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Z, U )
% 0.92/1.47 , c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.92/1.47 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, U, T ), c_Orderings_Oord__class_Oless(
% 0.92/1.47 X, c_Groups_Oplus__class_Oplus( X, Z, U ), c_Groups_Oplus__class_Oplus( X
% 0.92/1.47 , Y, T ) ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus
% 0.92/1.47 ( tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, T, Z )
% 0.92/1.47 , c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ),
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) ) ),
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs
% 0.92/1.47 ( tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, T,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ) ),
% 0.92/1.47 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus
% 0.92/1.47 ( tc_RealDef_Oreal, Z, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal
% 0.92/1.47 , X ) ) ) ) ) }.
% 0.92/1.47 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.47 c_Groups_Oplus__class_Oplus( X, Y, Y ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.47 ) }.
% 0.92/1.47 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.47 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.92/1.47 ), c_Groups_Oplus__class_Oplus( X, Y, Y ) ) }.
% 0.92/1.47 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Y,
% 0.92/1.47 Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.47 ) }.
% 0.92/1.47 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.47 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X
% 0.92/1.47 , Y, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.47 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.47 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.92/1.47 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Z )
% 0.92/1.47 ) }.
% 0.92/1.47 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.47 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.92/1.47 X ), Z ), ! c_Groups_Oplus__class_Oplus( X, Y, Z ) =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.92/1.47 .
% 0.92/1.47 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.47 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.92/1.47 X ), Z ), ! c_Groups_Oplus__class_Oplus( X, Y, Z ) =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.92/1.47 .
% 0.92/1.47 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.47 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.92/1.47 X ), Z ), ! Y = c_Groups_Ozero__class_Ozero( X ), ! Z =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Z )
% 0.92/1.47 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.47 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.47 ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oplus__class_Oplus( X,
% 0.92/1.47 Y, Z ) ) }.
% 0.92/1.47 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.47 ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oplus__class_Oplus( X,
% 0.92/1.47 Z, Y ) ) }.
% 0.92/1.47 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.47 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.47 , c_Groups_Oplus__class_Oplus( X, Y, Z ), c_Groups_Ozero__class_Ozero( X
% 0.92/1.47 ) ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X, Z
% 0.92/1.47 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X, Z
% 0.92/1.47 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.47 c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Y ),
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ) ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.47 }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add__abs( X ), ! Y =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.47 c_Groups_Oabs__class_Oabs( X, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.47 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.47 ), c_Groups_Oabs__class_Oabs( X, Y ) = Y }.
% 0.92/1.47 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( X, Y ) ) }.
% 0.92/1.47 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.92/1.47 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.92/1.47 hAPP( Y, U ) ) }.
% 0.92/1.47 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, hAPP
% 0.92/1.47 ( Z, skol5( X, Y, Z ) ), hAPP( Y, skol5( X, Y, Z ) ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ) }.
% 0.92/1.47 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.92/1.47 , Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.92/1.47 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.92/1.47 ( X, Z, Y ) }.
% 0.92/1.47 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.92/1.47 ( X, Y, Z ) }.
% 0.92/1.47 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.92/1.47 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Z = Y }.
% 0.92/1.47 { ! class_Orderings_Opreorder( X ), ! Z = Y,
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.92/1.47 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.92/1.47 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.92/1.47 hAPP( Y, U ) ) }.
% 0.92/1.47 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.92/1.47 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Y = Z }.
% 0.92/1.47 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.92/1.47 , Y ), ! Y = Z, c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.92/1.47 { ! class_Orderings_Oord( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.92/1.47 ( X, Y, T ), c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.92/1.47 { ! class_Orderings_Oorder( X ), ! Z = Y, !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.92/1.47 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y
% 0.92/1.47 ), ! Y = T, c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.92/1.47 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.92/1.47 , Y ), ! Z = T, c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.92/1.47 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.92/1.47 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Z = Y }.
% 0.92/1.47 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.47 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, T ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.92/1.47 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.92/1.47 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Y = Z }.
% 0.92/1.47 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.92/1.47 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.92/1.47 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.92/1.47 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.92/1.47 hAPP( Y, U ) ) }.
% 0.92/1.47 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.92/1.47 , Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.92/1.47 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( X, Z ), Y ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( X, U ), T ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( X, c_Groups_Oplus__class_Oplus( X, Z, U
% 0.92/1.47 ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, T ) ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, X ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Y ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Z ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, Z ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Y ), Y = X }.
% 0.92/1.47 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) }.
% 0.92/1.47 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, c_Groups_Oplus__class_Oplus
% 0.92/1.47 ( tc_Nat_Onat, Y, X ) ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.92/1.47 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.92/1.47 tc_Nat_Onat, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.92/1.47 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ), Y = X }.
% 0.92/1.47 { ! Y = X, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) }.
% 0.92/1.47 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ), Z = X }.
% 0.92/1.47 { ! Z = X, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) }.
% 0.92/1.47 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.92/1.47 tc_Nat_Onat, Y, X ), X ) = Y }.
% 0.92/1.47 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.92/1.47 tc_Nat_Onat, Y, X ), Y ) = X }.
% 0.92/1.47 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.92/1.47 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.92/1.47 Z, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.92/1.47 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.92/1.47 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) =
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) }.
% 0.92/1.47 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.92/1.47 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) =
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ),
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ),
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ),
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.92/1.47 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.92/1.47 ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X = Z }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), ! X = Z,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Y ), Y = X }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) = Y }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, Z ),
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ),
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ) }.
% 0.92/1.47 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Y ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ), Y ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, X ) }.
% 0.92/1.47 { ! class_Int_Oring__char__0( X ), ! class_Rings_Oidom( X ), !
% 0.92/1.47 c_Polynomial_Opoly( X, Z ) = c_Polynomial_Opoly( X, Y ), Z = Y }.
% 0.92/1.47 { ! class_Int_Oring__char__0( X ), ! class_Rings_Oidom( X ), ! Z = Y,
% 0.92/1.47 c_Polynomial_Opoly( X, Z ) = c_Polynomial_Opoly( X, Y ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), X =
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol6( X, Y ) ) }.
% 0.92/1.47 { ! X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, T ),
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ), X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.92/1.47 tc_Nat_Onat, X, Z ), Y ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), Z ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.92/1.47 tc_Nat_Onat, X, Y ), Z ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ), Y ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.92/1.47 tc_Nat_Onat, Z, X ), Y ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) = Z, X =
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), ! X =
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) = Z }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.92/1.47 tc_Nat_Onat, X, Y ), Y ) = X }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.92/1.47 tc_Nat_Onat, Z, X ), Y ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) = X }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, skol7, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, v_g____( hAPP(
% 0.92/1.47 v_f____, X ) ), v_z____ ) ), v_d____ ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ), v_r ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.92/1.47 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), Y ) ) ) ), X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ), X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ), X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol8( Y ) ), v_r )
% 0.92/1.47 }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ), X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.92/1.47 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), skol8( X ) ) ) ) ), X ) }
% 0.92/1.47 .
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ), v_r ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.92/1.47 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), Y ) ), X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ), X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ), X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol9( Y ) ), v_r )
% 0.92/1.47 }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ), X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.92/1.47 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), skol9( X ) ) ), X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ), v_r ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.92/1.47 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), X ) ),
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol10 ), v_r ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.92/1.47 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), skol10 ) ),
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ), v_r ), !
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.92/1.47 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), Y ) ) =
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, skol11 ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), v_r ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ), v_r ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.92/1.47 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), skol12 ) ),
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.92/1.47 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), X ) ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ), v_r ), !
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.92/1.47 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), X ) ) =
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y,
% 0.92/1.47 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Complex_Ocomplex ) ), v_r ) }.
% 0.92/1.47 { c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.92/1.47 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ),
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Complex_Ocomplex ) ) ) =
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.92/1.47 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ),
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Complex_Ocomplex ) ) ) ) ) }.
% 0.92/1.47 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.92/1.47 , c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, T, Z )
% 0.92/1.47 ), Y ), c_Orderings_Oord__class_Oless( X, c_Groups_Ominus__class_Ominus
% 0.92/1.47 ( X, Z, Y ), T ) }.
% 0.92/1.47 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.92/1.47 , c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, T, Z )
% 0.92/1.47 ), Y ), c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus
% 0.92/1.47 ( X, Z, Y ) ) }.
% 0.92/1.47 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.92/1.47 , c_Groups_Ominus__class_Ominus( X, Z, Y ), T ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.92/1.47 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oabs__class_Oabs( X,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( X, T, Z ) ), Y ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, skol13, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, v_g____( hAPP(
% 0.92/1.47 v_f____, X ) ), v_z____ ) ), v_d____ ) }.
% 0.92/1.47 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.92/1.47 , c_Groups_Oabs__class_Oabs( X, Z ), Y ), c_Orderings_Oord__class_Oless(
% 0.92/1.47 X, Z, Y ) }.
% 0.92/1.47 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.92/1.47 , c_Groups_Oabs__class_Oabs( X, Z ), Y ), c_Orderings_Oord__class_Oless(
% 0.92/1.47 X, c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) }.
% 0.92/1.47 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.92/1.47 , Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, c_Groups_Oabs__class_Oabs( X, Z ), Y )
% 0.92/1.47 }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_Groups_Oone__class_Oone
% 0.92/1.47 ( tc_RealDef_Oreal ) ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.47 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.92/1.47 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.47 tc_Polynomial_Opoly( X ), Y, c_Groups_Ozero__class_Ozero(
% 0.92/1.47 tc_Polynomial_Opoly( X ) ) ), c_Groups_Oabs__class_Oabs(
% 0.92/1.47 tc_Polynomial_Opoly( X ), Y ) = c_Groups_Ouminus__class_Ouminus(
% 0.92/1.47 tc_Polynomial_Opoly( X ), Y ) }.
% 0.92/1.47 { ! class_Rings_Olinordered__idom( X ), c_Orderings_Oord__class_Oless(
% 0.92/1.47 tc_Polynomial_Opoly( X ), Y, c_Groups_Ozero__class_Ozero(
% 0.92/1.47 tc_Polynomial_Opoly( X ) ) ), c_Groups_Oabs__class_Oabs(
% 0.92/1.47 tc_Polynomial_Opoly( X ), Y ) = Y }.
% 0.92/1.47 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( tc_fun( T,
% 0.92/1.47 X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ) }
% 0.92/1.47 .
% 0.92/1.47 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( tc_fun( T,
% 0.92/1.47 X ), Z, Y ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Y, Z )
% 0.92/1.47 }.
% 0.92/1.47 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.92/1.47 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Y, Z
% 0.92/1.47 ), c_Orderings_Oord__class_Oless( tc_fun( T, X ), Z, Y ) }.
% 0.92/1.47 { ! class_Groups_Oab__group__add( X ), c_Groups_Ouminus__class_Ouminus(
% 0.92/1.47 tc_Polynomial_Opoly( X ), c_Groups_Ozero__class_Ozero(
% 0.92/1.47 tc_Polynomial_Opoly( X ) ) ) = c_Groups_Ozero__class_Ozero(
% 0.92/1.47 tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.47 { ! class_Groups_Oone( X ), ! c_Groups_Oone__class_Oone( X ) = Y, Y =
% 0.92/1.47 c_Groups_Oone__class_Oone( X ) }.
% 0.92/1.47 { ! class_Groups_Oone( X ), ! Y = c_Groups_Oone__class_Oone( X ),
% 0.92/1.47 c_Groups_Oone__class_Oone( X ) = Y }.
% 0.92/1.47 { ! class_RealVector_Oreal__normed__algebra__1( X ),
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( X, c_Groups_Oone__class_Oone( X ) ) =
% 0.92/1.47 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.92/1.47 ( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.92/1.47 tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.92/1.47 ( tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.92/1.47 tc_Nat_Onat, Y, X ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.92/1.47 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.92/1.47 tc_Nat_Onat, Y, X ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.92/1.47 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.92/1.47 ( tc_Nat_Onat, Y, X ), Y ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.92/1.47 ( tc_Nat_Onat ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.92/1.47 tc_Nat_Onat ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) }.
% 0.92/1.47 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( c_Polynomial_Opoly( X,
% 0.92/1.47 c_Groups_Oone__class_Oone( tc_Polynomial_Opoly( X ) ) ), Y ) =
% 0.92/1.47 c_Groups_Oone__class_Oone( X ) }.
% 0.92/1.47 { ! class_Rings_Ozero__neq__one( X ), ! c_Groups_Oone__class_Oone( X ) =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.47 { ! class_Rings_Ozero__neq__one( X ), ! c_Groups_Ozero__class_Ozero( X ) =
% 0.92/1.47 c_Groups_Oone__class_Oone( X ) }.
% 0.92/1.47 { ! class_Rings_Olinordered__idom( X ), c_Groups_Oabs__class_Oabs( X,
% 0.92/1.47 c_Groups_Oone__class_Oone( X ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.92/1.47 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus(
% 0.92/1.47 tc_Polynomial_Opoly( X ), c_Groups_Ozero__class_Ozero(
% 0.92/1.47 tc_Polynomial_Opoly( X ) ), Y ) = c_Groups_Ouminus__class_Ouminus(
% 0.92/1.47 tc_Polynomial_Opoly( X ), Y ) }.
% 0.92/1.47 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.92/1.47 , alpha2( X, Y, Z ) }.
% 0.92/1.47 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.92/1.47 , alpha21( X, Y, Z ) }.
% 0.92/1.47 { ! alpha2( X, Y, Z ), ! alpha21( X, Y, Z ), hBOOL( hAPP( Z,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) ) }.
% 0.92/1.47 { ! alpha21( X, Y, Z ), ! Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.92/1.47 T ), hBOOL( hAPP( Z, T ) ) }.
% 0.92/1.47 { ! hBOOL( hAPP( Z, skol14( T, U, Z ) ) ), alpha21( X, Y, Z ) }.
% 0.92/1.47 { Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, skol14( X, Y, Z ) ),
% 0.92/1.47 alpha21( X, Y, Z ) }.
% 0.92/1.47 { ! alpha2( X, Y, Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X )
% 0.92/1.47 , hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), alpha2( X, Y, Z ) }.
% 0.92/1.47 { ! hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), alpha2
% 0.92/1.47 ( X, Y, Z ) }.
% 0.92/1.47 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.92/1.47 , ! alpha3( X, Y, Z ) }.
% 0.92/1.47 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.92/1.47 , ! alpha22( X, Y, Z ) }.
% 0.92/1.47 { alpha3( X, Y, Z ), alpha22( X, Y, Z ), hBOOL( hAPP( Z,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) ) }.
% 0.92/1.47 { ! alpha22( X, Y, Z ), ! hBOOL( hAPP( Z, skol15( T, U, Z ) ) ) }.
% 0.92/1.47 { ! alpha22( X, Y, Z ), Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.92/1.47 skol15( X, Y, Z ) ) }.
% 0.92/1.47 { ! Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, T ), hBOOL( hAPP( Z, T
% 0.92/1.47 ) ), alpha22( X, Y, Z ) }.
% 0.92/1.47 { ! alpha3( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }
% 0.92/1.47 .
% 0.92/1.47 { ! alpha3( X, Y, Z ), ! hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero(
% 0.92/1.47 tc_Nat_Onat ) ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), hBOOL( hAPP( Z,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), alpha3( X, Y, Z ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.92/1.47 ( tc_Nat_Onat, Y, Z ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y
% 0.92/1.47 , X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, T, X ) =
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.92/1.47 tc_Nat_Onat, Y, T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }
% 0.92/1.47 .
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.92/1.47 tc_Nat_Onat, Y, Z ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }
% 0.92/1.47 .
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.92/1.47 ( tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) )
% 0.92/1.47 , c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.92/1.47 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }
% 0.92/1.47 .
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.92/1.47 ( tc_Nat_Onat, Y, X ), X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.92/1.47 ( tc_Nat_Onat, Y, X ), Y ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = X,
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), Y = X }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.92/1.47 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = X,
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.92/1.47 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.92/1.47 { ! c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) =
% 0.92/1.47 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.92/1.47 ( tc_Nat_Onat, Z, X ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.92/1.47 ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.92/1.47 ( tc_Nat_Onat, Y, Z ), X ) }.
% 0.92/1.47 { ! class_Rings_Olinordered__semidom( X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.47 c_Groups_Oone__class_Oone( X ) ) }.
% 0.92/1.47 { ! class_Rings_Olinordered__semidom( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.47 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = Y, X =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.47 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.47 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.47 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), ! X =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.92/1.47 tc_Nat_Onat, Y, X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.47 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, c_Groups_Ozero__class_Ozero
% 0.92/1.47 ( tc_Nat_Onat ) ) = X }.
% 0.92/1.47 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.92/1.47 tc_Nat_Onat ), X ) = X }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.47 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.92/1.47 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.92/1.47 ( X, c_Groups_Oone__class_Oone( X ), c_Groups_Ozero__class_Ozero( X ) ) }
% 0.92/1.47 .
% 0.92/1.47 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.92/1.47 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.92/1.47 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.92/1.47 , Y, c_Groups_Oplus__class_Oplus( X, Y, c_Groups_Oone__class_Oone( X ) )
% 0.92/1.47 ) }.
% 0.92/1.47 { ! c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), !
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y = X }.
% 0.92/1.47 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, X ) =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.47 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) = X }.
% 0.92/1.47 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.92/1.47 tc_Nat_Onat ), X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.47 { ! class_Int_Oring__char__0( X ), ! class_Rings_Oidom( X ), !
% 0.92/1.47 c_Polynomial_Opoly( X, Y ) = c_Polynomial_Opoly( X,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ), Y =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.47 { ! class_Int_Oring__char__0( X ), ! class_Rings_Oidom( X ), ! Y =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ),
% 0.92/1.47 c_Polynomial_Opoly( X, Y ) = c_Polynomial_Opoly( X,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ) }.
% 0.92/1.47 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus(
% 0.92/1.47 tc_Polynomial_Opoly( X ), Y, c_Groups_Ozero__class_Ozero(
% 0.92/1.47 tc_Polynomial_Opoly( X ) ) ) = Y }.
% 0.92/1.47 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus(
% 0.92/1.47 tc_Polynomial_Opoly( X ), c_Groups_Ozero__class_Ozero(
% 0.92/1.47 tc_Polynomial_Opoly( X ) ), Y ) = Y }.
% 0.92/1.47 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus(
% 0.92/1.47 tc_Polynomial_Opoly( X ), Y, c_Groups_Ozero__class_Ozero(
% 0.92/1.47 tc_Polynomial_Opoly( X ) ) ) = Y }.
% 0.92/1.47 { ! c_SEQ_Osubseq( X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z
% 0.92/1.47 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X, Y ), hAPP( X, Z
% 0.92/1.47 ) ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, skol16( X ), skol38( X ) ),
% 0.92/1.47 c_SEQ_Osubseq( X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X, skol16( X ) ),
% 0.92/1.47 hAPP( X, skol38( X ) ) ), c_SEQ_Osubseq( X ) }.
% 0.92/1.47 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.92/1.47 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.47 c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.92/1.47 tc_Nat_Onat, Z, X ), Y ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.92/1.47 ( tc_Nat_Onat, Z, X ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z
% 0.92/1.47 , c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) = Y }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.92/1.47 ( tc_Nat_Onat, Y, Z ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z )
% 0.92/1.47 ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.92/1.47 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.92/1.47 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.92/1.47 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.92/1.47 ) }.
% 0.92/1.47 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.47 { ! c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.47 { c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, Y, X ) =
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, Y,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_Complex_Ocomplex, X ) ) }.
% 0.92/1.47 { ! class_Rings_Olinordered__idom( X ), Z = Y,
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.92/1.47 X, Y, Z ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs
% 0.92/1.47 ( tc_RealDef_Oreal, X ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) )
% 0.92/1.47 , X ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oone__class_Oone
% 0.92/1.47 ( tc_RealDef_Oreal ), c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) )
% 0.92/1.47 ) }.
% 0.92/1.47 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.92/1.47 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, T, Z ), c_Orderings_Oord__class_Oless(
% 0.92/1.47 X, T, c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.92/1.47 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.92/1.47 , Y, c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ) }
% 0.92/1.47 .
% 0.92/1.47 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.92/1.47 , Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.92/1.47 , Y, c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.92/1.47 { ! class_Rings_Ocomm__ring__1( X ), c_Groups_Ominus__class_Ominus( X, Z, Y
% 0.92/1.47 ) = c_Groups_Oplus__class_Oplus( X, Z, c_Groups_Ouminus__class_Ouminus(
% 0.92/1.47 X, Y ) ) }.
% 0.92/1.47 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.92/1.47 , c_Groups_Oplus__class_Oplus( X, Y, Y ), c_Groups_Ozero__class_Ozero( X
% 0.92/1.47 ) ), c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X
% 0.92/1.47 ) ) }.
% 0.92/1.47 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.92/1.47 , Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.92/1.47 , c_Groups_Oplus__class_Oplus( X, Y, Y ), c_Groups_Ozero__class_Ozero( X
% 0.92/1.47 ) ) }.
% 0.92/1.47 { ! alpha4( Y ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, Y )
% 0.92/1.47 , c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, skol17 ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, skol17 ), alpha4(
% 0.92/1.47 skol39( Y ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, skol17 ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, skol39( X ) ) }.
% 0.92/1.47 { ! alpha4( X ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol18( Y ) ), v_r
% 0.92/1.47 ) }.
% 0.92/1.47 { ! alpha4( X ), c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP
% 0.92/1.47 ( c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), skol18( X ) ) ) =
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ), v_r ), !
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.92/1.47 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), Y ) ) =
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ), alpha4( X ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.92/1.47 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_g____( hAPP( v_f____,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ),
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) ),
% 0.92/1.47 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.92/1.47 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.92/1.47 v_N1____, v_N2____ ) ) ) ) ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol19 ), v_r ) }.
% 0.92/1.47 { c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.92/1.47 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), skol19 ) ) =
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, skol40 ) }.
% 0.92/1.47 { ! class_RealVector_Oreal__normed__vector( Y ), ! class_Orderings_Oord( X
% 0.92/1.47 ), c_Orderings_Oord__class_Oless__eq( X, T, skol20( X, U, W, T ) ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, T, V0 ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( Y, hAPP( Z, V0 ) ),
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oone__class_Oone
% 0.92/1.47 ( tc_RealDef_Oreal ), c_RealVector_Onorm__class_Onorm( Y, hAPP( Z, T ) )
% 0.92/1.47 ) ) }.
% 0.92/1.47 { ! class_RealVector_Oreal__normed__vector( Y ), ! class_Orderings_Oord( X
% 0.92/1.47 ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( Y, c_Groups_Ominus__class_Ominus( Y,
% 0.92/1.47 hAPP( Z, T ), hAPP( Z, skol20( X, Y, Z, T ) ) ) ),
% 0.92/1.47 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( X, T, U ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( Y, hAPP( Z, U ) ),
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oone__class_Oone
% 0.92/1.47 ( tc_RealDef_Oreal ), c_RealVector_Onorm__class_Onorm( Y, hAPP( Z, T ) )
% 0.92/1.47 ) ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.92/1.47 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_g____( X ) ) ),
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.92/1.47 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.92/1.47 tc_Nat_Onat, c_Nat_OSuc( X ) ) ) ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc(
% 0.92/1.47 X ) ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( X ) ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.92/1.47 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.92/1.47 v_N1____, v_N2____ ) ) ) ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.92/1.47 tc_Nat_Onat, c_Nat_OSuc( hAPP( v_f____, c_Groups_Oplus__class_Oplus(
% 0.92/1.47 tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ),
% 0.92/1.47 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.92/1.47 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.92/1.47 v_N1____, v_N2____ ) ) ) ) ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.92/1.47 tc_Nat_Onat ), c_Nat_OSuc( X ) ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.92/1.47 tc_Nat_Onat, X ) ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.92/1.47 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.92/1.47 tc_Nat_Onat, c_Nat_OSuc( hAPP( v_f____, c_Groups_Oplus__class_Oplus(
% 0.92/1.47 tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ) ), c_Groups_Oplus__class_Oplus
% 0.92/1.47 ( tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.92/1.47 v_s____ ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.92/1.47 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.92/1.47 v_N1____, v_N2____ ) ) ) ) ) ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.92/1.47 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_g____( hAPP( v_f____,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ),
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.92/1.47 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.92/1.47 tc_Nat_Onat, c_Nat_OSuc( hAPP( v_f____, c_Groups_Oplus__class_Oplus(
% 0.92/1.47 tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ) ) ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.92/1.47 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_g____( hAPP( v_f____,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ),
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.92/1.47 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.92/1.47 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.92/1.47 v_N1____, v_N2____ ) ) ) ) ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.92/1.47 ( tc_Nat_Onat ), X ), c_Nat_OSuc( c_Groups_Ominus__class_Ominus(
% 0.92/1.47 tc_Nat_Onat, X, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) = X }.
% 0.92/1.47 { alpha38( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z ),
% 0.92/1.47 hBOOL( hAPP( hAPP( X, Y ), Z ) ) }.
% 0.92/1.47 { alpha38( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP
% 0.92/1.47 ( X, Y ), Z ) ) }.
% 0.92/1.47 { ! alpha38( X, Y, Z ), alpha39( X, Y, Z ), Z = Y }.
% 0.92/1.47 { ! alpha38( X, Y, Z ), alpha39( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z
% 0.92/1.47 ) ) }.
% 0.92/1.47 { ! alpha39( X, Y, Z ), alpha38( X, Y, Z ) }.
% 0.92/1.47 { ! Z = Y, hBOOL( hAPP( hAPP( X, Y ), Z ) ), alpha38( X, Y, Z ) }.
% 0.92/1.47 { ! alpha39( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y )
% 0.92/1.47 }.
% 0.92/1.47 { ! alpha39( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ), hBOOL( hAPP( hAPP(
% 0.92/1.47 X, Y ), Z ) ), alpha39( X, Y, Z ) }.
% 0.92/1.47 { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.92/1.47 tc_Nat_Onat ), X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc
% 0.92/1.47 ( X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.92/1.47 { ! c_Nat_OSuc( X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), Y = X }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), Z ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), c_Nat_OSuc( Y ) = X
% 0.92/1.47 , c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! X = Y }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! X =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, X ) }.
% 0.92/1.47 { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) = c_Nat_OSuc( X ) }.
% 0.92/1.47 { Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ), X = Y }
% 0.92/1.47 .
% 0.92/1.47 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ), Y = X }
% 0.92/1.47 .
% 0.92/1.47 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X,
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc
% 0.92/1.47 ( X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc(
% 0.92/1.47 X ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), Y = X }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.92/1.47 { ! Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) )
% 0.92/1.47 }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ), Y =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha5( X, Y ) }.
% 0.92/1.47 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.92/1.47 { ! alpha5( X, Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.92/1.47 c_Nat_OSuc( X ) ) }.
% 0.92/1.47 { ! alpha5( X, Y ), Y = c_Nat_OSuc( skol21( Z, Y ) ) }.
% 0.92/1.47 { ! alpha5( X, Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, skol21( X,
% 0.92/1.47 Y ), X ) }.
% 0.92/1.47 { ! Y = c_Nat_OSuc( Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X
% 0.92/1.47 ), alpha5( X, Y ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc(
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), X =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.47 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc(
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.92/1.47 ( tc_Nat_Onat ), X ), X = c_Nat_OSuc( skol22( X ) ) }.
% 0.92/1.47 { ! X = c_Nat_OSuc( Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.92/1.47 { Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ), ! Y = X }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.92/1.47 { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.92/1.47 tc_Nat_Onat ), X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.92/1.47 ( tc_Nat_Onat ), X ), ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }
% 0.92/1.47 .
% 0.92/1.47 { c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.92/1.47 tc_Nat_Onat ) ) ) = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.92/1.47 { c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Oone__class_Oone( tc_Nat_Onat ) )
% 0.92/1.47 = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.92/1.47 { c_Groups_Oone__class_Oone( tc_Nat_Onat ) = c_Nat_OSuc(
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.92/1.47 { ! c_Nat_OSuc( X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.47 { ! c_Nat_OSuc( X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.92/1.47 { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) = c_Nat_OSuc( X ) }.
% 0.92/1.47 { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) = c_Nat_OSuc( X ) }.
% 0.92/1.47 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.92/1.47 class_RealVector_Oreal__normed__field( X ),
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.92/1.47 , Y ) ) = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.92/1.47 ( X, Y ) ) }.
% 0.92/1.47 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( X ),
% 0.92/1.47 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) = X }.
% 0.92/1.47 { ! class_RealVector_Oreal__normed__field( X ), Y =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ), c_RealVector_Onorm__class_Onorm( X,
% 0.92/1.47 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.92/1.47 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.92/1.47 ( X, Y ) ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.92/1.47 tc_Nat_Onat, c_Nat_OSuc( X ) ) ) }.
% 0.92/1.47 { ! X = c_Nat_OSuc( X ) }.
% 0.92/1.47 { ! c_Nat_OSuc( X ) = X }.
% 0.92/1.47 { ! c_Nat_OSuc( Y ) = c_Nat_OSuc( X ), Y = X }.
% 0.92/1.47 { ! Y = X, c_Nat_OSuc( Y ) = c_Nat_OSuc( X ) }.
% 0.92/1.47 { ! c_RealDef_Oreal( tc_Nat_Onat, Y ) = c_RealDef_Oreal( tc_Nat_Onat, X ),
% 0.92/1.47 Y = X }.
% 0.92/1.47 { ! Y = X, c_RealDef_Oreal( tc_Nat_Onat, Y ) = c_RealDef_Oreal( tc_Nat_Onat
% 0.92/1.47 , X ) }.
% 0.92/1.47 { ! c_Nat_OSuc( Y ) = c_Nat_OSuc( X ), Y = X }.
% 0.92/1.47 { c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( X ) ) =
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.92/1.47 tc_Nat_Onat, X ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.92/1.47 { ! class_RealVector_Oreal__normed__field( X ),
% 0.92/1.47 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.92/1.47 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.47 { ! class_Rings_Odivision__ring__inverse__zero( X ),
% 0.92/1.47 c_Rings_Oinverse__class_Odivide( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.92/1.47 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.47 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.47 }.
% 0.92/1.47 { ! class_RealVector_Oreal__normed__field( X ),
% 0.92/1.47 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, T, Z
% 0.92/1.47 ), Y ) = c_Groups_Oplus__class_Oplus( X, c_Rings_Oinverse__class_Odivide
% 0.92/1.47 ( X, T, Y ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.92/1.47 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.92/1.47 ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ),
% 0.92/1.47 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.92/1.47 { ! class_RealVector_Oreal__normed__field( X ),
% 0.92/1.47 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X, T,
% 0.92/1.47 Z ), Y ) = c_Groups_Ominus__class_Ominus( X,
% 0.92/1.47 c_Rings_Oinverse__class_Odivide( X, T, Y ),
% 0.92/1.47 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.92/1.47 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( X, T, Z ), Y ) =
% 0.92/1.47 c_Groups_Ominus__class_Ominus( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.92/1.47 Y ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.92/1.47 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X, Y
% 0.92/1.47 , c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.92/1.47 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.92/1.47 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.92/1.47 { ! c_RealDef_Oreal( tc_Nat_Onat, X ) = c_Groups_Ozero__class_Ozero(
% 0.92/1.47 tc_RealDef_Oreal ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.47 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_RealDef_Oreal(
% 0.92/1.47 tc_Nat_Onat, X ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.92/1.47 { c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.92/1.47 ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.92/1.47 { ! class_RealVector_Oreal__normed__field( X ),
% 0.92/1.47 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X, Z
% 0.92/1.47 ), Y ) = c_Groups_Ouminus__class_Ouminus( X,
% 0.92/1.47 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.92/1.47 { ! class_Rings_Odivision__ring( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.92/1.47 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.92/1.47 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X, Z
% 0.92/1.47 ), Y ) }.
% 0.92/1.47 { c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, c_RealDef_Oreal( tc_Nat_Onat
% 0.92/1.47 , X ) ) = c_RealDef_Oreal( tc_Nat_Onat, X ) }.
% 0.92/1.47 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) =
% 0.92/1.47 c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.92/1.47 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) =
% 0.92/1.47 c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.92/1.47 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) =
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.92/1.47 { ! c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ), alpha6( X, Y ), alpha23
% 0.92/1.47 ( X, Y ) }.
% 0.92/1.47 { ! alpha6( X, Y ), c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.92/1.47 ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) }.
% 0.92/1.47 { ! alpha23( X, Y ), c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.92/1.47 ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) }.
% 0.92/1.47 { ! alpha23( X, Y ), Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.47 { ! alpha23( X, Y ), X = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.92/1.47 tc_Nat_Onat ) ) }.
% 0.92/1.47 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), ! X = c_Nat_OSuc(
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), alpha23( X, Y ) }.
% 0.92/1.47 { ! alpha6( X, Y ), Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.92/1.47 tc_Nat_Onat ) ) }.
% 0.92/1.47 { ! alpha6( X, Y ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.47 { ! Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), ! X =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha6( X, Y ) }.
% 0.92/1.47 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), alpha7( X, Y ), alpha24( X
% 0.92/1.47 , Y ) }.
% 0.92/1.47 { ! alpha7( X, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.92/1.47 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.92/1.47 { ! alpha24( X, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.92/1.47 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.92/1.47 { ! alpha24( X, Y ), Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.47 { ! alpha24( X, Y ), X = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.92/1.47 tc_Nat_Onat ) ) }.
% 0.92/1.47 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), ! X = c_Nat_OSuc(
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), alpha24( X, Y ) }.
% 0.92/1.47 { ! alpha7( X, Y ), Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.92/1.47 tc_Nat_Onat ) ) }.
% 0.92/1.47 { ! alpha7( X, Y ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.47 { ! Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), ! X =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha7( X, Y ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc(
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc(
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), X = c_Nat_OSuc(
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol23( X, Y ) ) ) }.
% 0.92/1.47 { ! X = c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = c_Nat_OSuc( X
% 0.92/1.47 ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ),
% 0.92/1.47 c_Nat_OSuc( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X )
% 0.92/1.47 }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ),
% 0.92/1.47 c_Nat_OSuc( X ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = c_Nat_OSuc( X
% 0.92/1.47 ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.92/1.47 { ! Y = c_Nat_OSuc( X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 0.92/1.47 , c_Nat_OSuc( X ) ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( X ), Y ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( X ), Y ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( X ), X ) }
% 0.92/1.47 .
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ), X = Y }
% 0.92/1.47 .
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), ! X = Y,
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.92/1.47 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc(
% 0.92/1.47 X ) ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) }.
% 0.92/1.47 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.92/1.47 ( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ), c_Nat_OSuc( X ) ) =
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.92/1.47 ( tc_Nat_Onat, Z, Y ), X ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.92/1.47 ( tc_Nat_Onat, Y, X ), c_Nat_OSuc( Y ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.92/1.47 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ), X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.92/1.47 ( tc_Nat_Onat ), X ), c_Nat_OSuc( c_Groups_Ominus__class_Ominus(
% 0.92/1.47 tc_Nat_Onat, X, c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) )
% 0.92/1.47 ) ) = X }.
% 0.92/1.47 { ! c_SEQ_Osubseq( X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X
% 0.92/1.47 , Y ), hAPP( X, c_Nat_OSuc( Y ) ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X, skol24( X ) ),
% 0.92/1.47 hAPP( X, c_Nat_OSuc( skol24( X ) ) ) ), c_SEQ_Osubseq( X ) }.
% 0.92/1.47 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Z ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol25( X, Y, Z ) ) ), Z ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, T ) ), c_RealDef_Oreal(
% 0.92/1.47 tc_Nat_Onat, c_Nat_OSuc( skol41( X, Y ) ) ) ) }.
% 0.92/1.47 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol44( X, Y, Z ) ) ),
% 0.92/1.47 c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( Z ) ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol46( T, U ) ) }.
% 0.92/1.47 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol44( X, Y, Z ) ) ),
% 0.92/1.47 c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( Z ) ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, T ) ), skol46( X, Y ) ) }.
% 0.92/1.47 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Z ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol26( X, Y, Z ) ) ), Z ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, T ) ), c_RealDef_Oreal(
% 0.92/1.47 tc_Nat_Onat, c_Nat_OSuc( skol42( X, Y ) ) ) ) }.
% 0.92/1.47 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol45( X, Y, Z ) ) ),
% 0.92/1.47 c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( Z ) ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol47( T, U ) ) }.
% 0.92/1.47 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol45( X, Y, Z ) ) ),
% 0.92/1.47 c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( Z ) ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, T ) ), skol47( X, Y ) ) }.
% 0.92/1.47 { ! class_Rings_Odivision__ring__inverse__zero( X ), ! Y =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.92/1.47 Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.47 { ! class_Rings_Odivision__ring__inverse__zero( X ), Y =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.92/1.47 Y ) = c_Groups_Oone__class_Oone( X ) }.
% 0.92/1.47 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.47 , c_Rings_Oinverse__class_Odivide( X, Y, Y ) = c_Groups_Oone__class_Oone
% 0.92/1.47 ( X ) }.
% 0.92/1.47 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.47 , ! c_Rings_Oinverse__class_Odivide( X, Z, Y ) =
% 0.92/1.47 c_Groups_Oone__class_Oone( X ), Z = Y }.
% 0.92/1.47 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.47 , ! Z = Y, c_Rings_Oinverse__class_Odivide( X, Z, Y ) =
% 0.92/1.47 c_Groups_Oone__class_Oone( X ) }.
% 0.92/1.47 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.47 , c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X
% 0.92/1.47 , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) =
% 0.92/1.47 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.92/1.47 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.47 , c_Groups_Ouminus__class_Ouminus( X, c_Rings_Oinverse__class_Odivide( X
% 0.92/1.47 , Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X, Z,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.92/1.47 tc_Nat_Onat, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), X =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.47 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.92/1.47 tc_Nat_Onat, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.92/1.47 tc_Nat_Onat, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.92/1.47 tc_Nat_Onat, X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.92/1.47 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.92/1.47 tc_Nat_Onat, X ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.92/1.47 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.92/1.47 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.92/1.47 { c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y
% 0.92/1.47 , X ) ) = c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal
% 0.92/1.47 ( tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.47 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ), alpha8( X, Y
% 0.92/1.47 ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.47 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ), alpha25( X,
% 0.92/1.47 Y ) }.
% 0.92/1.47 { ! alpha8( X, Y ), ! alpha25( X, Y ), c_Orderings_Oord__class_Oless__eq(
% 0.92/1.47 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.47 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ) }.
% 0.92/1.47 { ! alpha25( X, Y ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), alpha25( X, Y ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), alpha25( X, Y ) }.
% 0.92/1.47 { ! alpha8( X, Y ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y
% 0.92/1.47 , c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), alpha8( X, Y ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), alpha8( X, Y ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( X ), Y ) =
% 0.92/1.47 c_Nat_OSuc( c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.92/1.47 tc_Nat_Onat, Y ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.92/1.47 c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.92/1.47 tc_Nat_Onat, Y ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.92/1.47 c_RealDef_Oreal( tc_Nat_Onat, X ) ), c_Orderings_Oord__class_Oless(
% 0.92/1.47 tc_Nat_Onat, Y, X ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), c_RealDef_Oreal
% 0.92/1.47 ( tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.92/1.47 tc_Nat_Onat, X ), c_RealDef_Oreal( tc_Nat_Onat, Y ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc(
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ), Z ) =
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( X ),
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, c_Nat_OSuc(
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) ) =
% 0.92/1.47 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.92/1.47 tc_Nat_Onat, Z, Y ), c_Nat_OSuc( X ) ) }.
% 0.92/1.47 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Z
% 0.92/1.47 , Y ) = c_Groups_Oplus__class_Oplus( X, Y, Z ) }.
% 0.92/1.47 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, T
% 0.92/1.47 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.92/1.47 ( X, Z, c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.92/1.47 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, T
% 0.92/1.47 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.92/1.47 ( X, c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) }.
% 0.92/1.47 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.92/1.47 ( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y ) ) }.
% 0.92/1.47 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.92/1.47 ( X, c_Groups_Oplus__class_Oplus( X, T, Y ), Z ) }.
% 0.92/1.47 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.47 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.92/1.47 , Y ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X
% 0.92/1.47 , U, Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.47 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.92/1.47 tc_Nat_Onat, Y ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.92/1.47 c_RealDef_Oreal( tc_Nat_Onat, X ), c_Groups_Oone__class_Oone(
% 0.92/1.47 tc_RealDef_Oreal ) ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.92/1.47 tc_Nat_Onat, Y ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.92/1.47 c_RealDef_Oreal( tc_Nat_Onat, X ), c_Groups_Oone__class_Oone(
% 0.92/1.47 tc_RealDef_Oreal ) ) ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 0.92/1.47 , X ) }.
% 0.92/1.47 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.92/1.47 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.92/1.47 , c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.92/1.47 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.92/1.47 ( X ), ! Z = c_Groups_Oplus__class_Oplus( X, Z, Y ), Y =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.47 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.92/1.47 ( X ), ! Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.92/1.47 c_Groups_Oplus__class_Oplus( X, Z, Y ) }.
% 0.92/1.47 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.92/1.47 c_Groups_Oplus__class_Oplus( X, Y, Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.47 , Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.47 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.92/1.47 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.92/1.47 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol27( Y ) ), v_r
% 0.92/1.47 ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.92/1.47 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), skol27( X ) ) ),
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.92/1.47 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.92/1.47 tc_Nat_Onat, c_Nat_OSuc( X ) ) ) ) ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP( skol28, X ) )
% 0.92/1.47 , v_r ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.92/1.47 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), hAPP( skol28, X ) ) ),
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.92/1.47 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.92/1.47 tc_Nat_Onat, c_Nat_OSuc( X ) ) ) ) ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol29( Y ) ), v_r
% 0.92/1.47 ) }.
% 0.92/1.47 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.47 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.92/1.47 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), skol29( X ) ) ),
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.92/1.47 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.47 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.92/1.47 tc_Nat_Onat, c_Nat_OSuc( X ) ) ) ) ) }.
% 0.92/1.47 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = X }.
% 0.92/1.47 { Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.92/1.47 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.92/1.47 tc_Nat_Onat, Y, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ), X ) ) }.
% 0.92/1.47 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.92/1.47 ( tc_Nat_Onat ), X ), X = c_Nat_OSuc( c_Groups_Ominus__class_Ominus(
% 0.92/1.47 tc_Nat_Onat, X, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) }.
% 0.92/1.47 { c_Nat_OSuc( X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.92/1.47 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) }.
% 0.92/1.47 { c_Nat_OSuc( X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.92/1.48 c_Groups_Oone__class_Oone( tc_Nat_Onat ), X ) }.
% 0.92/1.48 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) =
% 0.92/1.48 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.92/1.48 ( tc_Nat_Onat, Y, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ), X ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oabs__class_Oabs( X, Z ), Y
% 0.92/1.48 ) = c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.92/1.48 , Y ) ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.48 X, Z, Y ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.92/1.48 ), c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.92/1.48 c_Groups_Oone__class_Oone( X ) ) ), Y ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.48 X, Z, Y ), c_Orderings_Oord__class_Oless( X, Z,
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.92/1.48 ), c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.92/1.48 c_Groups_Oone__class_Oone( X ) ) ) ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.48 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.92/1.48 ) ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.92/1.48 X ), c_Rings_Oinverse__class_Odivide( X, Y, Z ) ) }.
% 0.92/1.48 { ! class_Fields_Ofield__inverse__zero( X ),
% 0.92/1.48 c_Groups_Ouminus__class_Ouminus( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.92/1.48 , Y ) ) = c_Rings_Oinverse__class_Odivide( X, Z,
% 0.92/1.48 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.92/1.48 { ! class_Fields_Ofield__inverse__zero( X ),
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X, Z
% 0.92/1.48 ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) =
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field__inverse__zero( X ),
% 0.92/1.48 c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Odivide( X, Z, Y )
% 0.92/1.48 ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oabs__class_Oabs( X, Z
% 0.92/1.48 ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ), alpha9( X, Y, Z ), alpha26
% 0.92/1.48 ( X, Y, Z ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha9( X, Y, Z
% 0.92/1.48 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.92/1.48 ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha26( X, Y, Z
% 0.92/1.48 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.92/1.48 ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.92/1.48 { ! alpha26( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.48 { ! alpha26( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.92/1.48 ) ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ) ), alpha26( X, Y, Z ) }.
% 0.92/1.48 { ! alpha9( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.92/1.48 { ! alpha9( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.48 , Z ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), Y ), alpha9( X, Y, Z ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.92/1.48 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha10( X, Y, Z ), alpha27
% 0.92/1.48 ( X, Y, Z ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha10( X, Y, Z
% 0.92/1.48 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.92/1.48 ( X, Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha27( X, Y, Z
% 0.92/1.48 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.92/1.48 ( X, Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.48 { ! alpha27( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.48 { ! alpha27( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.92/1.48 ) ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.92/1.48 ( X ), Y ), alpha27( X, Y, Z ) }.
% 0.92/1.48 { ! alpha10( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.92/1.48 { ! alpha10( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.48 , Z ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ) ), alpha10( X, Y, Z ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.92/1.48 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.92/1.48 ( X, Z, T ), c_Rings_Oinverse__class_Odivide( X, Y, T ) ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.48 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.92/1.48 ( X, Y, T ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.48 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( X, Y, T ),
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.48 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( X, Z, T ),
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( X, Y, T ) ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.48 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.92/1.48 ( X, Z, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.92/1.48 ( X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X
% 0.92/1.48 , Y, Z ) ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.48 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.92/1.48 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless
% 0.92/1.48 ( X, c_Rings_Oinverse__class_Odivide( X, Y, Z ),
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.48 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.92/1.48 ( X, Z, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.92/1.48 ( X, c_Rings_Oinverse__class_Odivide( X, Y, Z ),
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.48 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.92/1.48 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless
% 0.92/1.48 ( X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X
% 0.92/1.48 , Y, Z ) ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Z,
% 0.92/1.48 Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha11( X, Y, Z ), alpha28( X,
% 0.92/1.48 Y, Z ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha11( X, Y, Z
% 0.92/1.48 ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X
% 0.92/1.48 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha28( X, Y, Z
% 0.92/1.48 ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X
% 0.92/1.48 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.48 { ! alpha28( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.48 { ! alpha28( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.92/1.48 , ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.48 ), alpha28( X, Y, Z ) }.
% 0.92/1.48 { ! alpha11( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.92/1.48 { ! alpha11( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.92/1.48 , ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.48 ), alpha11( X, Y, Z ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ), alpha12( X, Y, Z ), alpha29
% 0.92/1.48 ( X, Y, Z ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha12( X, Y, Z
% 0.92/1.48 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha29( X, Y, Z
% 0.92/1.48 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.92/1.48 { ! alpha29( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.48 { ! alpha29( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.92/1.48 , ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.48 ), alpha29( X, Y, Z ) }.
% 0.92/1.48 { ! alpha12( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.92/1.48 { ! alpha12( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.92/1.48 , ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.48 ), alpha12( X, Y, Z ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.92/1.48 X ), c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.92/1.48 , Y ) ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oabs__class_Oabs(
% 0.92/1.48 X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.48 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.48 , Z ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.92/1.48 ( X ), c_Rings_Oinverse__class_Odivide( X, Y, Z ) ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.48 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.92/1.48 ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 0.92/1.48 X ) ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.48 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, Y, Z ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.92/1.48 ! c_Orderings_Oord__class_Oless( X, T, U ), c_Orderings_Oord__class_Oless
% 0.92/1.48 ( X, c_Rings_Oinverse__class_Odivide( X, Y, U ),
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.48 ), ! c_Orderings_Oord__class_Oless( X, Y, Z ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.92/1.48 ! c_Orderings_Oord__class_Oless__eq( X, T, U ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Y,
% 0.92/1.48 U ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.48 ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.92/1.48 ! c_Orderings_Oord__class_Oless__eq( X, T, U ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.92/1.48 , Y, U ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.48 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.48 , Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 0.92/1.48 X ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( c_Nat_OSuc(
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) ), X =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X = c_Nat_OSuc(
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.92/1.48 tc_Nat_Onat, Y ), X ), ! c_Orderings_Oord__class_Oless__eq(
% 0.92/1.48 tc_RealDef_Oreal, X, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.92/1.48 c_RealDef_Oreal( tc_Nat_Onat, Y ), c_Groups_Oone__class_Oone(
% 0.92/1.48 tc_RealDef_Oreal ) ) ), c_RComplete_Onatceiling( X ) =
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, c_Groups_Oone__class_Oone(
% 0.92/1.48 tc_Nat_Onat ) ) }.
% 0.92/1.48 { ! class_Groups_Ozero( X ), !
% 0.92/1.48 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize( X, Y ) =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.48 { ! class_Groups_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero(
% 0.92/1.48 tc_Polynomial_Opoly( X ) ),
% 0.92/1.48 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize( X, Y ) =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.48 { ! class_Rings_Oidom( X ), ! hAPP( c_Polynomial_Opoly( X, Z ), Y ) =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero(
% 0.92/1.48 tc_Polynomial_Opoly( X ) ), ! c_Polynomial_Oorder( X, Y, Z ) =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.48 { ! class_Rings_Oidom( X ), ! Z = c_Groups_Ozero__class_Ozero(
% 0.92/1.48 tc_Polynomial_Opoly( X ) ), hAPP( c_Polynomial_Opoly( X, Z ), Y ) =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.48 { ! class_Rings_Oidom( X ), c_Polynomial_Oorder( X, Y, Z ) =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hAPP( c_Polynomial_Opoly( X,
% 0.92/1.48 Z ), Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.48 { c_RComplete_Onatceiling( c_RealDef_Oreal( tc_Nat_Onat, X ) ) = X }.
% 0.92/1.48 { c_RComplete_Onatceiling( c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal )
% 0.92/1.48 ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.48 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_RComplete_Onatceiling( X )
% 0.92/1.48 ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_RComplete_Onatceiling(
% 0.92/1.48 Y ), c_RComplete_Onatceiling( X ) ) }.
% 0.92/1.48 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, c_RealDef_Oreal(
% 0.92/1.48 tc_Nat_Onat, c_RComplete_Onatceiling( X ) ) ) }.
% 0.92/1.48 { c_RComplete_Onatceiling( c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) )
% 0.92/1.48 = c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.92/1.48 c_RComplete_Onatceiling( X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.92/1.48 }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, c_RealDef_Oreal
% 0.92/1.48 ( tc_Nat_Onat, X ) ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.48 c_RComplete_Onatceiling( Y ), X ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_RComplete_Onatceiling(
% 0.92/1.48 X ), Y ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.48 c_RealDef_Oreal( tc_Nat_Onat, Y ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, c_RealDef_Oreal(
% 0.92/1.48 tc_Nat_Onat, Y ) ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.48 c_RComplete_Onatceiling( X ), Y ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_RComplete_Onatceiling
% 0.92/1.48 ( X ), c_Groups_Oone__class_Oone( tc_Nat_Onat ) ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.48 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.48 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_RComplete_Onatceiling(
% 0.92/1.48 X ), c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.92/1.48 tc_Nat_Onat, Y ), X ), c_RComplete_Onatceiling(
% 0.92/1.48 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, c_RealDef_Oreal(
% 0.92/1.48 tc_Nat_Onat, Y ) ) ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.92/1.48 c_RComplete_Onatceiling( X ), Y ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.92/1.48 c_RComplete_Onatceiling( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X
% 0.92/1.48 , c_RealDef_Oreal( tc_Nat_Onat, Y ) ) ) = c_Groups_Oplus__class_Oplus(
% 0.92/1.48 tc_Nat_Onat, c_RComplete_Onatceiling( X ), Y ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.92/1.48 c_RComplete_Onatceiling( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X
% 0.92/1.48 , c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) ) =
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_RComplete_Onatceiling( X ),
% 0.92/1.48 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) }.
% 0.92/1.48 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.48 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP( skol30, X ) )
% 0.92/1.48 , v_r ) }.
% 0.92/1.48 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.48 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.92/1.48 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), hAPP( skol30, X ) ) ),
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.92/1.48 tc_Nat_Onat, c_Nat_OSuc( X ) ) ) ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.92/1.48 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, skol31( X ),
% 0.92/1.48 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ), X ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, c_RealDef_Oreal(
% 0.92/1.48 tc_Nat_Onat, skol31( X ) ) ) }.
% 0.92/1.48 { ! c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) =
% 0.92/1.48 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.48 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, X,
% 0.92/1.48 c_Groups_Oone__class_Oone( tc_Complex_Ocomplex ) ) ),
% 0.92/1.48 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.48 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.92/1.48 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X,
% 0.92/1.48 c_Groups_Oone__class_Oone( tc_Complex_Ocomplex ) ) ),
% 0.92/1.48 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.48 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, X, c_Complex_Oii ) ),
% 0.92/1.48 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.48 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.92/1.48 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, c_Complex_Oii ) )
% 0.92/1.48 , c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.92/1.48 c_RComplete_Onatfloor( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X,
% 0.92/1.48 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) ) =
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_RComplete_Onatfloor( X ),
% 0.92/1.48 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) }.
% 0.92/1.48 { ! c_Complex_Oii = c_Groups_Oone__class_Oone( tc_Complex_Ocomplex ) }.
% 0.92/1.48 { c_RComplete_Onatfloor( c_RealDef_Oreal( tc_Nat_Onat, X ) ) = X }.
% 0.92/1.48 { ! c_Complex_Oii = c_Groups_Ozero__class_Ozero( tc_Complex_Ocomplex ) }.
% 0.92/1.48 { c_RComplete_Onatfloor( c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) )
% 0.92/1.48 = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.48 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_RComplete_Onatfloor( X ) )
% 0.92/1.48 }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_RComplete_Onatfloor( Y
% 0.92/1.48 ), c_RComplete_Onatfloor( X ) ) }.
% 0.92/1.48 { c_RComplete_Onatfloor( c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) =
% 0.92/1.48 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), c_RComplete_Onatfloor
% 0.92/1.48 ( X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.92/1.48 tc_Nat_Onat, c_RComplete_Onatfloor( X ) ), X ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.92/1.48 tc_Nat_Onat, Y ), X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 0.92/1.48 , c_RComplete_Onatfloor( X ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_RComplete_Onatfloor
% 0.92/1.48 ( X ) ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.48 c_RealDef_Oreal( tc_Nat_Onat, Y ), X ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.92/1.48 tc_Nat_Onat, Y ), X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 0.92/1.48 , c_RComplete_Onatfloor( X ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.48 c_Groups_Oone__class_Oone( tc_Nat_Onat ), c_RComplete_Onatfloor( X ) ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Groups_Oone__class_Oone
% 0.92/1.48 ( tc_Nat_Onat ), c_RComplete_Onatfloor( X ) ) }.
% 0.92/1.48 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.92/1.48 tc_Nat_Onat, c_RComplete_Onatfloor( X ) ), c_Groups_Oone__class_Oone(
% 0.92/1.48 tc_RealDef_Oreal ) ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.92/1.48 tc_Nat_Onat, Y ), X ), c_RComplete_Onatfloor(
% 0.92/1.48 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, c_RealDef_Oreal(
% 0.92/1.48 tc_Nat_Onat, Y ) ) ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.92/1.48 c_RComplete_Onatfloor( X ), Y ) }.
% 0.92/1.48 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X,
% 0.92/1.48 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), c_RealDef_Oreal(
% 0.92/1.48 tc_Nat_Onat, c_RComplete_Onatfloor( X ) ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, c_RealDef_Oreal(
% 0.92/1.48 tc_Nat_Onat, Y ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.92/1.48 c_RComplete_Onatfloor( X ), Y ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.92/1.48 c_RComplete_Onatfloor( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X,
% 0.92/1.48 c_RealDef_Oreal( tc_Nat_Onat, Y ) ) ) = c_Groups_Oplus__class_Oplus(
% 0.92/1.48 tc_Nat_Onat, c_RComplete_Onatfloor( X ), Y ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_RComplete_Onatfloor( Y ),
% 0.92/1.48 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ), X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, c_RealDef_Oreal(
% 0.92/1.48 tc_Nat_Onat, X ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.92/1.48 tc_Nat_Onat, Y ), X ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal
% 0.92/1.48 , X, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.92/1.48 tc_Nat_Onat, Y ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) ),
% 0.92/1.48 c_RComplete_Onatfloor( X ) = Y }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), X =
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol32( X, Y ) ) }.
% 0.92/1.48 { ! X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.92/1.48 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.92/1.48 c_Groups_Ouminus__class_Ouminus( X, Z ), c_Groups_Ouminus__class_Ouminus
% 0.92/1.48 ( X, Y ) ) = c_Groups_Ouminus__class_Ouminus( X,
% 0.92/1.48 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.92/1.48 tc_Nat_Onat ), Y ), c_RComplete_Onatfloor(
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, c_RealDef_Oreal(
% 0.92/1.48 tc_Nat_Onat, Y ) ) ) = c_Divides_Odiv__class_Odiv( tc_Nat_Onat,
% 0.92/1.48 c_RComplete_Onatfloor( X ), Y ) }.
% 0.92/1.48 { ! class_Orderings_Oorder( X ), ! c_SEQ_Odecseq( X, Y ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, T ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, hAPP( Y, T ), hAPP( Y, Z ) ) }.
% 0.92/1.48 { ! class_Orderings_Oorder( X ), c_Orderings_Oord__class_Oless__eq(
% 0.92/1.48 tc_Nat_Onat, skol33( X, Y ), skol43( X, Y ) ), c_SEQ_Odecseq( X, Y ) }.
% 0.92/1.48 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.48 hAPP( Y, skol43( X, Y ) ), hAPP( Y, skol33( X, Y ) ) ), c_SEQ_Odecseq( X
% 0.92/1.48 , Y ) }.
% 0.92/1.48 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.92/1.48 tc_Nat_Onat, c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, X ) ),
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.92/1.48 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) ) }.
% 0.92/1.48 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.48 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.92/1.48 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ), c_RealDef_Oreal(
% 0.92/1.48 tc_Nat_Onat, c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, X ) ) ) ) }.
% 0.92/1.48 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.92/1.48 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ), c_RealDef_Oreal(
% 0.92/1.48 tc_Nat_Onat, c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, X ) ) ),
% 0.92/1.48 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.92/1.48 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X
% 0.92/1.48 , Y ), c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.92/1.48 c_Divides_Odiv__class_Odiv( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.92/1.48 tc_Nat_Onat, Y, X ), X ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.92/1.48 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X
% 0.92/1.48 ), c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, X ) =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.92/1.48 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X )
% 0.92/1.48 , c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.92/1.48 c_Divides_Odiv__class_Odiv( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.92/1.48 tc_Nat_Onat, Y, X ), X ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.92/1.48 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X )
% 0.92/1.48 , c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.92/1.48 c_Divides_Odiv__class_Odiv( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.92/1.48 tc_Nat_Onat, Y, X ), X ) ) }.
% 0.92/1.48 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Odiv( X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.48 }.
% 0.92/1.48 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Odiv( X, Y,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.48 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Odiv( X, Y,
% 0.92/1.48 c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.48 c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, Z ),
% 0.92/1.48 c_Divides_Odiv__class_Odiv( tc_Nat_Onat, X, Z ) ) }.
% 0.92/1.48 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.48 c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, X ), Y ) }.
% 0.92/1.48 { ! class_Divides_Osemiring__div( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.48 , c_Divides_Odiv__class_Odiv( X, Y, Y ) = c_Groups_Oone__class_Oone( X )
% 0.92/1.48 }.
% 0.92/1.48 { c_Divides_Odiv__class_Odiv( tc_Nat_Onat, X, c_Nat_OSuc(
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) = X }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.92/1.48 c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, X ) =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.48 { ! class_Divides_Osemiring__div( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.48 , c_Divides_Odiv__class_Odiv( X, c_Groups_Oplus__class_Oplus( X, Y, Z ),
% 0.92/1.48 Y ) = c_Groups_Oplus__class_Oplus( X, c_Divides_Odiv__class_Odiv( X, Z, Y
% 0.92/1.48 ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.92/1.48 { ! class_Divides_Osemiring__div( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.48 , c_Divides_Odiv__class_Odiv( X, c_Groups_Oplus__class_Oplus( X, Z, Y ),
% 0.92/1.48 Y ) = c_Groups_Oplus__class_Oplus( X, c_Divides_Odiv__class_Odiv( X, Z, Y
% 0.92/1.48 ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.92/1.48 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X
% 0.92/1.48 , Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.48 c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Z, Y ),
% 0.92/1.48 c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Z, X ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oone__class_Oone(
% 0.92/1.48 tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Divides_Odiv__class_Odiv(
% 0.92/1.48 tc_Nat_Onat, Y, X ), Y ) }.
% 0.92/1.48 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.92/1.48 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.92/1.48 , Y ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Ominus__class_Ominus(
% 0.92/1.48 X, U, Z ), c_Groups_Ominus__class_Ominus( X, T, Y ) ) }.
% 0.92/1.48 { ! class_Lattices_Oboolean__algebra( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.92/1.48 , Y ), c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.92/1.48 { ! class_Lattices_Oboolean__algebra( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.92/1.48 , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.92/1.48 { ! class_Lattices_Oboolean__algebra( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, Y, Z ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.92/1.48 , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.92/1.48 { ! class_Fields_Ofield( X ), c_Divides_Odiv__class_Odiv(
% 0.92/1.48 tc_Polynomial_Opoly( X ), Z, c_Groups_Ouminus__class_Ouminus(
% 0.92/1.48 tc_Polynomial_Opoly( X ), Y ) ) = c_Groups_Ouminus__class_Ouminus(
% 0.92/1.48 tc_Polynomial_Opoly( X ), c_Divides_Odiv__class_Odiv( tc_Polynomial_Opoly
% 0.92/1.48 ( X ), Z, Y ) ) }.
% 0.92/1.48 { ! class_Fields_Ofield( X ), c_Divides_Odiv__class_Odiv(
% 0.92/1.48 tc_Polynomial_Opoly( X ), c_Groups_Ouminus__class_Ouminus(
% 0.92/1.48 tc_Polynomial_Opoly( X ), Z ), Y ) = c_Groups_Ouminus__class_Ouminus(
% 0.92/1.48 tc_Polynomial_Opoly( X ), c_Divides_Odiv__class_Odiv( tc_Polynomial_Opoly
% 0.92/1.48 ( X ), Z, Y ) ) }.
% 0.92/1.48 { ! class_Groups_Ominus( X ), hAPP( c_Groups_Ominus__class_Ominus( tc_fun(
% 0.92/1.48 U, X ), T, Z ), Y ) = c_Groups_Ominus__class_Ominus( X, hAPP( T, Y ),
% 0.92/1.48 hAPP( Z, Y ) ) }.
% 0.92/1.48 { ! class_Lattices_Oboolean__algebra( X ), !
% 0.92/1.48 c_Groups_Ouminus__class_Ouminus( X, Z ) = c_Groups_Ouminus__class_Ouminus
% 0.92/1.48 ( X, Y ), Z = Y }.
% 0.92/1.48 { ! class_Lattices_Oboolean__algebra( X ), ! Z = Y,
% 0.92/1.48 c_Groups_Ouminus__class_Ouminus( X, Z ) = c_Groups_Ouminus__class_Ouminus
% 0.92/1.48 ( X, Y ) }.
% 0.92/1.48 { ! class_Groups_Ouminus( X ), hAPP( c_Groups_Ouminus__class_Ouminus(
% 0.92/1.48 tc_fun( T, X ), Z ), Y ) = c_Groups_Ouminus__class_Ouminus( X, hAPP( Z, Y
% 0.92/1.48 ) ) }.
% 0.92/1.48 { ! class_Lattices_Oboolean__algebra( X ), c_Groups_Ouminus__class_Ouminus
% 0.92/1.48 ( X, c_Groups_Ouminus__class_Ouminus( X, Y ) ) = Y }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol34( T, U, W ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.48 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.92/1.48 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, T, Z ) ) ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.48 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.92/1.48 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, T, Z ) ), skol34( X,
% 0.92/1.48 Y, Z ) ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.48 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.92/1.48 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, hAPP(
% 0.92/1.48 c_Polynomial_Opoly( tc_Complex_Ocomplex, Y ), T ), hAPP(
% 0.92/1.48 c_Polynomial_Opoly( tc_Complex_Ocomplex, Y ), Z ) ) ), X ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__idom( X ), ! Y = c_Groups_Ozero__class_Ozero(
% 0.92/1.48 tc_Polynomial_Opoly( X ) ), c_Groups_Osgn__class_Osgn(
% 0.92/1.48 tc_Polynomial_Opoly( X ), Y ) = c_Groups_Ozero__class_Ozero(
% 0.92/1.48 tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__idom( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.92/1.48 tc_Polynomial_Opoly( X ) ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.48 tc_Polynomial_Opoly( X ), c_Groups_Ozero__class_Ozero(
% 0.92/1.48 tc_Polynomial_Opoly( X ) ), Y ), c_Groups_Osgn__class_Osgn(
% 0.92/1.48 tc_Polynomial_Opoly( X ), Y ) = c_Groups_Oone__class_Oone(
% 0.92/1.48 tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__idom( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.92/1.48 tc_Polynomial_Opoly( X ) ), c_Orderings_Oord__class_Oless(
% 0.92/1.48 tc_Polynomial_Opoly( X ), c_Groups_Ozero__class_Ozero(
% 0.92/1.48 tc_Polynomial_Opoly( X ) ), Y ), c_Groups_Osgn__class_Osgn(
% 0.92/1.48 tc_Polynomial_Opoly( X ), Y ) = c_Groups_Ouminus__class_Ouminus(
% 0.92/1.48 tc_Polynomial_Opoly( X ), c_Groups_Oone__class_Oone( tc_Polynomial_Opoly
% 0.92/1.48 ( X ) ) ) }.
% 0.92/1.48 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.48 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.92/1.48 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, hAPP(
% 0.92/1.48 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_g____( hAPP( v_f____,
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ),
% 0.92/1.48 hAPP( c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_z____ ) ) ),
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.92/1.48 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.92/1.48 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_z____ ) ),
% 0.92/1.48 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.48 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.92/1.48 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.48 c_Int_OBit1( c_Int_OPls ) ) ), c_Groups_Oabs__class_Oabs(
% 0.92/1.48 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.92/1.48 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.92/1.48 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_z____ ) ),
% 0.92/1.48 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) ) ),
% 0.92/1.48 c_RealDef_Oreal( tc_Nat_Onat, v_N2____ ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.48 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.92/1.48 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ) ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.48 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.92/1.48 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ),
% 0.92/1.48 v_d____ ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.48 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.92/1.48 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, hAPP(
% 0.92/1.48 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), X ), hAPP(
% 0.92/1.48 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_z____ ) ) ),
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.92/1.48 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.92/1.48 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_z____ ) ),
% 0.92/1.48 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.48 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.92/1.48 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.92/1.48 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.92/1.48 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_z____ ) ),
% 0.92/1.48 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.48 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.48 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.92/1.48 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ),
% 0.92/1.48 v_d____ ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.48 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.92/1.48 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, hAPP(
% 0.92/1.48 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), X ), hAPP(
% 0.92/1.48 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_z____ ) ) ),
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.92/1.48 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.92/1.48 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_z____ ) ),
% 0.92/1.48 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.48 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.92/1.48 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.48 c_Int_OBit1( c_Int_OPls ) ) ), c_Groups_Oabs__class_Oabs(
% 0.92/1.48 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.92/1.48 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.92/1.48 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_z____ ) ),
% 0.92/1.48 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) ) ),
% 0.92/1.48 c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( c_Groups_Oplus__class_Oplus(
% 0.92/1.48 tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) }.
% 0.92/1.48 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.92/1.48 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.92/1.48 v_N1____, v_N2____ ) ) ) ), c_Rings_Oinverse__class_Odivide(
% 0.92/1.48 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.92/1.48 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.92/1.48 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_z____ ) ),
% 0.92/1.48 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.48 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.92/1.48 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.92/1.48 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.92/1.48 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_g____( hAPP( v_f____,
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ),
% 0.92/1.48 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) ),
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.92/1.48 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.92/1.48 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_z____ ) ),
% 0.92/1.48 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.48 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.92/1.48 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.48 c_Int_OBit1( c_Int_OPls ) ) ) ), X ) = c_Rings_Oinverse__class_Odivide(
% 0.92/1.48 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X )
% 0.92/1.48 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.48 c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.92/1.48 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.48 c_Int_OBit1( c_Int_OPls ) ) ) ), Y ) = c_Rings_Oinverse__class_Odivide(
% 0.92/1.48 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y )
% 0.92/1.48 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.48 c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.92/1.48 { c_Int_OBit1( X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oone__class_Oone(
% 0.92/1.48 tc_Int_Oint ), X ), X ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.92/1.48 c_Int_OBit1( Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.92/1.48 c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.48 c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ) =
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.92/1.48 ) ) ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.48 c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X, Y )
% 0.92/1.48 ) = c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.92/1.48 tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y ) ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), c_Groups_Ominus__class_Ominus( X,
% 0.92/1.48 c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X, Y )
% 0.92/1.48 ) = c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.92/1.48 tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), c_Groups_Ouminus__class_Ouminus(
% 0.92/1.48 tc_Int_Oint, Y ) ) ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Oone__class_Oone( X )
% 0.92/1.48 ) = c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.92/1.48 tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls ) ) ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), c_Groups_Ominus__class_Ominus( X,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Oone__class_Oone( X )
% 0.92/1.48 ) = c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.92/1.48 tc_Int_Oint, Y, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OBit1
% 0.92/1.48 ( c_Int_OPls ) ) ) ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.92/1.48 ), c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless(
% 0.92/1.48 tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls ) ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls )
% 0.92/1.48 ), c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X
% 0.92/1.48 , Y ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.92/1.48 ( tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y
% 0.92/1.48 ), c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), c_Groups_Oone__class_Oone( X ) =
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.92/1.48 c_Int_OBit1( c_Int_OPls ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.92/1.48 , Y ), c_Groups_Oone__class_Oone( X ) ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OBit1(
% 0.92/1.48 c_Int_OPls ) ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OBit1(
% 0.92/1.48 c_Int_OPls ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Oone__class_Oone( X )
% 0.92/1.48 ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 0.92/1.48 , Y ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 0.92/1.48 , Y ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X
% 0.92/1.48 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.92/1.48 { ! class_RealVector_Oreal__normed__algebra__1( X ),
% 0.92/1.48 c_Groups_Osgn__class_Osgn( X, c_Groups_Oone__class_Oone( X ) ) =
% 0.92/1.48 c_Groups_Oone__class_Oone( X ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit1( X
% 0.92/1.48 ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit1( X )
% 0.92/1.48 ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( X ),
% 0.92/1.48 c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls )
% 0.92/1.48 }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( X ),
% 0.92/1.48 c_Int_OPls ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), c_Groups_Ominus__class_Ominus( X,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, Z ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.92/1.48 tc_Int_Oint, Z, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.92/1.48 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.92/1.48 ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1
% 0.92/1.48 ( X ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.92/1.48 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.92/1.48 ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1
% 0.92/1.48 ( X ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.92/1.48 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.92/1.48 .
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.92/1.48 c_Int_OBit0( X ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.92/1.48 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.92/1.48 .
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.92/1.48 c_Int_OBit0( X ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.92/1.48 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.92/1.48 .
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1
% 0.92/1.48 ( X ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.92/1.48 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.92/1.48 .
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0
% 0.92/1.48 ( X ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.92/1.48 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.92/1.48 .
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1
% 0.92/1.48 ( X ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.92/1.48 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.92/1.48 .
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0
% 0.92/1.48 ( X ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.92/1.48 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.92/1.48 .
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0
% 0.92/1.48 ( X ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.92/1.48 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.92/1.48 .
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0
% 0.92/1.48 ( X ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ),
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ),
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ),
% 0.92/1.48 c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls )
% 0.92/1.48 }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ), c_Int_OPls
% 0.92/1.48 ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ),
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ),
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ),
% 0.92/1.48 c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls )
% 0.92/1.48 }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ), c_Int_OPls
% 0.92/1.48 ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit0( X
% 0.92/1.48 ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit0( X )
% 0.92/1.48 ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OPls ) }
% 0.92/1.48 .
% 0.92/1.48 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OBit0( X ) ) =
% 0.92/1.48 c_Int_OBit0( c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.92/1.48 c_Int_OPls ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.48 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OPls ) = c_Int_OPls }
% 0.92/1.48 .
% 0.92/1.48 { c_Int_OPls = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.92/1.48 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.92/1.48 ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.92/1.48 c_Int_OBit1( X ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.92/1.48 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.92/1.48 ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.92/1.48 c_Int_OBit1( X ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.92/1.48 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.92/1.48 ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.92/1.48 c_Int_OBit1( X ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.92/1.48 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.92/1.48 ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.92/1.48 c_Int_OBit0( X ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.92/1.48 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.92/1.48 ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.92/1.48 c_Int_OBit1( X ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.92/1.48 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.92/1.48 ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.92/1.48 c_Int_OBit0( X ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( X ),
% 0.92/1.48 c_Int_OPls ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X,
% 0.92/1.48 c_Int_OPls ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( X ),
% 0.92/1.48 c_Int_OPls ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit1
% 0.92/1.48 ( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X )
% 0.92/1.48 }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit1(
% 0.92/1.48 X ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit0
% 0.92/1.48 ( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X )
% 0.92/1.48 }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit0(
% 0.92/1.48 X ) ) }.
% 0.92/1.48 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OPls )
% 0.92/1.48 }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.92/1.48 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z, Y ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z, Y ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.92/1.48 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.92/1.48 ), c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, Y ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, Y ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.92/1.48 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Oplus__class_Oplus( X
% 0.92/1.48 , c_Int_Onumber__class_Onumber__of( X, Z ), Y ) ) =
% 0.92/1.48 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_Int_Oint, T, Z ) ), Y ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, Z ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.92/1.48 tc_Int_Oint, Z, Y ) ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, Y ) ) =
% 0.92/1.48 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X, Z )
% 0.92/1.48 , c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.92/1.48 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Z, Y ) ) =
% 0.92/1.48 c_Groups_Ominus__class_Ominus( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.92/1.48 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, c_Groups_Ouminus__class_Ouminus(
% 0.92/1.48 tc_Int_Oint, Y ) ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.92/1.48 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) =
% 0.92/1.48 c_Groups_Ouminus__class_Ouminus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.92/1.48 Y ) ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.92/1.48 c_Int_OBit0( Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.92/1.48 c_Groups_Oplus__class_Oplus( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.92/1.48 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.92/1.48 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, Y ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, Y ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.92/1.48 ( tc_Int_Oint, c_Int_OPls, Y ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, Y ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.92/1.48 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless(
% 0.92/1.48 tc_Int_Oint, Y, c_Int_OPls ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.92/1.48 ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), ! class_Int_Oring__char__0( X ), !
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, Y ), Z = Y }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), ! class_Int_Oring__char__0( X ), ! Z = Y
% 0.92/1.48 , c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.92/1.48 { ! c_Int_OBit1( Y ) = c_Int_OBit1( X ), Y = X }.
% 0.92/1.48 { ! Y = X, c_Int_OBit1( Y ) = c_Int_OBit1( X ) }.
% 0.92/1.48 { ! c_Int_OBit0( Y ) = c_Int_OBit0( X ), Y = X }.
% 0.92/1.48 { ! Y = X, c_Int_OBit0( Y ) = c_Int_OBit0( X ) }.
% 0.92/1.48 { ! c_Int_OBit1( Y ) = c_Int_OBit0( X ) }.
% 0.92/1.48 { ! c_Int_OBit0( Y ) = c_Int_OBit1( X ) }.
% 0.92/1.48 { ! class_Int_Onumber( X ), ! c_Int_Onumber__class_Onumber__of( X, Z ) = Y
% 0.92/1.48 , Y = c_Int_Onumber__class_Onumber__of( X, Z ) }.
% 0.92/1.48 { ! class_Int_Onumber( X ), ! Y = c_Int_Onumber__class_Onumber__of( X, Z )
% 0.92/1.48 , c_Int_Onumber__class_Onumber__of( X, Z ) = Y }.
% 0.92/1.48 { ! c_Int_OBit0( X ) = c_Int_OPls, X = c_Int_OPls }.
% 0.92/1.48 { ! X = c_Int_OPls, c_Int_OBit0( X ) = c_Int_OPls }.
% 0.92/1.48 { ! c_Int_OBit1( X ) = c_Int_OPls }.
% 0.92/1.48 { ! c_Int_OPls = c_Int_OBit0( X ), c_Int_OPls = X }.
% 0.92/1.48 { ! c_Int_OPls = X, c_Int_OPls = c_Int_OBit0( X ) }.
% 0.92/1.48 { ! c_Int_OPls = c_Int_OBit1( X ) }.
% 0.92/1.48 { c_Int_OBit0( c_Int_OPls ) = c_Int_OPls }.
% 0.92/1.48 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1
% 0.92/1.48 ( X ) ) = c_Int_OBit0( c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X )
% 0.92/1.48 ) }.
% 0.92/1.48 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0
% 0.92/1.48 ( X ) ) = c_Int_OBit1( c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X )
% 0.92/1.48 ) }.
% 0.92/1.48 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0
% 0.92/1.48 ( X ) ) = c_Int_OBit0( c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X )
% 0.92/1.48 ) }.
% 0.92/1.48 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0(
% 0.92/1.48 X ) ) = c_Int_OBit1( c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }
% 0.92/1.48 .
% 0.92/1.48 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1(
% 0.92/1.48 X ) ) = c_Int_OBit1( c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }
% 0.92/1.48 .
% 0.92/1.48 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0(
% 0.92/1.48 X ) ) = c_Int_OBit0( c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }
% 0.92/1.48 .
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ), Y ) = Y }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X, Y,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ) ) = Y }.
% 0.92/1.48 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, X, c_Int_OPls ) = X }.
% 0.92/1.48 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Int_OPls ) = X }.
% 0.92/1.48 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OPls, c_Int_OBit0( X )
% 0.92/1.48 ) = c_Int_OBit0( c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OPls
% 0.92/1.48 , X ) ) }.
% 0.92/1.48 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OPls, X ) = X }.
% 0.92/1.48 { c_Int_OBit0( X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, X ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), !
% 0.92/1.48 class_RealVector_Oreal__normed__algebra__1( X ),
% 0.92/1.48 c_RealVector_Onorm__class_Onorm( X, c_Int_Onumber__class_Onumber__of( X,
% 0.92/1.48 Y ) ) = c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, Y ) ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__idom( X ), c_Groups_Osgn__class_Osgn( X,
% 0.92/1.48 c_Groups_Osgn__class_Osgn( X, Y ) ) = c_Groups_Osgn__class_Osgn( X, Y ) }
% 0.92/1.48 .
% 0.92/1.48 { ! class_RealVector_Oreal__normed__vector( X ), c_Groups_Osgn__class_Osgn
% 0.92/1.48 ( X, c_Groups_Ouminus__class_Ouminus( X, Y ) ) =
% 0.92/1.48 c_Groups_Ouminus__class_Ouminus( X, c_Groups_Osgn__class_Osgn( X, Y ) ) }
% 0.92/1.48 .
% 0.92/1.48 { ! class_Groups_Osgn__if( X ), c_Groups_Osgn__class_Osgn( X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.48 { ! class_RealVector_Oreal__normed__vector( X ), c_Groups_Osgn__class_Osgn
% 0.92/1.48 ( X, c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X
% 0.92/1.48 ) }.
% 0.92/1.48 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.92/1.48 c_Groups_Osgn__class_Osgn( X, Y ) = c_Groups_Ozero__class_Ozero( X ), Y =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.48 { ! class_RealVector_Oreal__normed__vector( X ), ! Y =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), c_Groups_Osgn__class_Osgn( X, Y ) =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__idom( X ), ! c_Groups_Osgn__class_Osgn( X, Y )
% 0.92/1.48 = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.48 }.
% 0.92/1.48 { ! class_Rings_Olinordered__idom( X ), ! Y = c_Groups_Ozero__class_Ozero(
% 0.92/1.48 X ), c_Groups_Osgn__class_Osgn( X, Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.48 }.
% 0.92/1.48 { ! class_Fields_Ofield( X ), ! class_Int_Onumber__ring( X ),
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.92/1.48 X, c_Int_OBit1( c_Int_OPls ) ) ) = Y }.
% 0.92/1.48 { ! class_Fields_Ofield( X ), ! class_Int_Onumber__ring( X ),
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.92/1.48 X, c_Int_OBit1( c_Int_OPls ) ) ) = Y }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), c_Groups_Ozero__class_Ozero( X ) =
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.48 class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.92/1.48 ) ) ) ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero
% 0.92/1.48 ( X ), Y ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.48 class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.92/1.48 ) ) ) ) ) }.
% 0.92/1.48 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber__ring( X )
% 0.92/1.48 , c_Rings_Oinverse__class_Odivide( X, Y, c_Int_Onumber__class_Onumber__of
% 0.92/1.48 ( X, c_Int_OPls ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.48 class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.92/1.48 ) ) ) ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.48 c_Int_OBit1( c_Int_OPls ) ) ) ), X ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y,
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.48 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.92/1.48 { c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.48 c_Int_OBit1( c_Int_OPls ) ) ) ), c_Rings_Oinverse__class_Odivide(
% 0.92/1.48 tc_RealDef_Oreal, X, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 0.92/1.48 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) = X }.
% 0.92/1.48 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.48 class_Int_Onumber__ring( X ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.92/1.48 c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.92/1.48 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.92/1.48 { ! class_Int_Onumber( X ), ! class_Orderings_Olinorder( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.92/1.48 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.92/1.48 ), c_Int_Onumber__class_Onumber__of( X, Z ) ) }.
% 0.92/1.48 { ! class_Int_Onumber( X ), ! class_Orderings_Olinorder( X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.92/1.48 ), c_Int_Onumber__class_Onumber__of( X, Z ) ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.92/1.48 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Ominus__class_Ominus(
% 0.92/1.48 X, Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) =
% 0.92/1.48 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_Int_Oint, T,
% 0.92/1.48 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) ), Z ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Ominus__class_Ominus(
% 0.92/1.48 X, c_Int_Onumber__class_Onumber__of( X, Z ), Y ) ) =
% 0.92/1.48 c_Groups_Ominus__class_Ominus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_Int_Oint, T, Z ) ), Y ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.92/1.48 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Osgn__class_Osgn( X, Y ) ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ) }
% 0.92/1.48 .
% 0.92/1.48 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.92/1.48 , c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X
% 0.92/1.48 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Osgn__class_Osgn( X, Y ) ) }
% 0.92/1.48 .
% 0.92/1.48 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.92/1.48 , c_Groups_Osgn__class_Osgn( X, Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ) }
% 0.92/1.48 .
% 0.92/1.48 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.92/1.48 , Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.92/1.48 , c_Groups_Osgn__class_Osgn( X, Y ), c_Groups_Ozero__class_Ozero( X ) ) }
% 0.92/1.48 .
% 0.92/1.48 { ! class_Rings_Olinordered__idom( X ), ! c_Groups_Osgn__class_Osgn( X, Y )
% 0.92/1.48 = c_Groups_Oone__class_Oone( X ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.92/1.48 , c_Groups_Ozero__class_Ozero( X ), Y ), c_Groups_Osgn__class_Osgn( X, Y
% 0.92/1.48 ) = c_Groups_Oone__class_Oone( X ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.92/1.48 , c_Groups_Ozero__class_Ozero( X ), Y ), c_Groups_Osgn__class_Osgn( X, Y
% 0.92/1.48 ) = c_Groups_Oone__class_Oone( X ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.92/1.48 ), c_Groups_Ozero__class_Ozero( X ) ), c_Groups_Oabs__class_Oabs( X,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.92/1.48 c_Groups_Ouminus__class_Ouminus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.92/1.48 Y ) ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.92/1.48 ), c_Groups_Ozero__class_Ozero( X ) ), c_Groups_Oabs__class_Oabs( X,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__idom( X ), ! c_Groups_Osgn__class_Osgn( X, Y )
% 0.92/1.48 = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Oone__class_Oone( X ) ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ) }
% 0.92/1.48 .
% 0.92/1.48 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.92/1.48 , Y, c_Groups_Ozero__class_Ozero( X ) ), c_Groups_Osgn__class_Osgn( X, Y
% 0.92/1.48 ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Oone__class_Oone( X ) )
% 0.92/1.48 }.
% 0.92/1.48 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.92/1.48 , Y, c_Groups_Ozero__class_Ozero( X ) ), c_Groups_Osgn__class_Osgn( X, Y
% 0.92/1.48 ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Oone__class_Oone( X ) )
% 0.92/1.48 }.
% 0.92/1.48 { ! class_Groups_Osgn__if( X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.48 c_Groups_Osgn__class_Osgn( X, Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.48 { ! class_Groups_Osgn__if( X ), Y = c_Groups_Ozero__class_Ozero( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.92/1.48 c_Groups_Osgn__class_Osgn( X, Y ) = c_Groups_Oone__class_Oone( X ) }.
% 0.92/1.48 { ! class_Groups_Osgn__if( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.92/1.48 c_Groups_Osgn__class_Osgn( X, Y ) = c_Groups_Ouminus__class_Ouminus( X,
% 0.92/1.48 c_Groups_Oone__class_Oone( X ) ) }.
% 0.92/1.48 { ! class_RealVector_Oreal__normed__vector( X ), ! Y =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), c_RealVector_Onorm__class_Onorm( X,
% 0.92/1.48 c_Groups_Osgn__class_Osgn( X, Y ) ) = c_Groups_Ozero__class_Ozero(
% 0.92/1.48 tc_RealDef_Oreal ) }.
% 0.92/1.48 { ! class_RealVector_Oreal__normed__vector( X ), Y =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), c_RealVector_Onorm__class_Onorm( X,
% 0.92/1.48 c_Groups_Osgn__class_Osgn( X, Y ) ) = c_Groups_Oone__class_Oone(
% 0.92/1.48 tc_RealDef_Oreal ) }.
% 0.92/1.48 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol35 ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.48 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.92/1.48 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ) ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.48 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.92/1.48 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ),
% 0.92/1.48 skol35 ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.48 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.92/1.48 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, hAPP(
% 0.92/1.48 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), X ), hAPP(
% 0.92/1.48 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_z____ ) ) ),
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.92/1.48 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.92/1.48 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_z____ ) ),
% 0.92/1.48 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.48 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.92/1.48 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.48 c_Int_OBit1( c_Int_OPls ) ) ), c_Groups_Oabs__class_Oabs(
% 0.92/1.48 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.92/1.48 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.92/1.48 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_z____ ) ),
% 0.92/1.48 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) ) ),
% 0.92/1.48 c_RealDef_Oreal( tc_Nat_Onat, skol36 ) ) }.
% 0.92/1.48 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.48 c_Int_OBit1( c_Int_OPls ) ) ), c_Groups_Oabs__class_Oabs(
% 0.92/1.48 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.92/1.48 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.92/1.48 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_z____ ) ),
% 0.92/1.48 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) ) ),
% 0.92/1.48 c_RealDef_Oreal( tc_Nat_Onat, skol37 ) ) }.
% 0.92/1.48 { c_Divides_Odiv__class_Odiv( tc_Int_Oint, c_Int_Onumber__class_Onumber__of
% 0.92/1.48 ( tc_Int_Oint, c_Int_OBit0( Y ) ), c_Int_Onumber__class_Onumber__of(
% 0.92/1.48 tc_Int_Oint, c_Int_OBit0( X ) ) ) = c_Divides_Odiv__class_Odiv(
% 0.92/1.48 tc_Int_Oint, c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) }.
% 0.92/1.48 { c_Divides_Odiv__class_Odiv( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.92/1.48 tc_Int_Oint ), X ) = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.92/1.48 { c_Divides_Odiv__class_Odiv( tc_Int_Oint, Y,
% 0.92/1.48 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) =
% 0.92/1.48 c_Divides_Odiv__class_Odiv( tc_Int_Oint, c_Groups_Ouminus__class_Ouminus
% 0.92/1.48 ( tc_Int_Oint, Y ), X ) }.
% 0.92/1.48 { c_Divides_Odiv__class_Odiv( tc_Int_Oint, c_Groups_Ouminus__class_Ouminus
% 0.92/1.48 ( tc_Int_Oint, Y ), c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) =
% 0.92/1.48 c_Divides_Odiv__class_Odiv( tc_Int_Oint, Y, X ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.92/1.48 ( tc_Int_Oint ), X ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.92/1.48 c_Divides_Odiv__class_Odiv( tc_Int_Oint, Y, X ),
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.92/1.48 ( tc_Int_Oint ), X ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Divides_Odiv__class_Odiv(
% 0.92/1.48 tc_Int_Oint, Y, X ), c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Divides_Odiv__class_Odiv(
% 0.92/1.48 tc_Int_Oint, Y, X ), c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.92/1.48 tc_Int_Oint ), Y ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.92/1.48 tc_Int_Oint ), Y ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.92/1.48 c_Divides_Odiv__class_Odiv( tc_Int_Oint, Y, X ),
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.92/1.48 tc_Int_Oint ), Y ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.92/1.48 c_Divides_Odiv__class_Odiv( tc_Int_Oint, X, Y ),
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.48 c_Divides_Odiv__class_Odiv( tc_Int_Oint, X, Z ),
% 0.92/1.48 c_Divides_Odiv__class_Odiv( tc_Int_Oint, Y, Z ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.92/1.48 tc_Int_Oint ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.48 c_Divides_Odiv__class_Odiv( tc_Int_Oint, Y, Z ),
% 0.92/1.48 c_Divides_Odiv__class_Odiv( tc_Int_Oint, X, Z ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.92/1.48 c_Divides_Odiv__class_Odiv( tc_Int_Oint, X, Y ) =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.92/1.48 tc_Int_Oint ), Y ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.92/1.48 Z ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.48 c_Divides_Odiv__class_Odiv( tc_Int_Oint, X, Y ),
% 0.92/1.48 c_Divides_Odiv__class_Odiv( tc_Int_Oint, X, Z ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.92/1.48 tc_Int_Oint ), Y ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.48 c_Divides_Odiv__class_Odiv( tc_Int_Oint, X, Y ),
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Divides_Odiv__class_Odiv(
% 0.92/1.48 tc_Int_Oint, Y, X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y
% 0.92/1.48 , c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Divides_Odiv__class_Odiv(
% 0.92/1.48 tc_Int_Oint, Y, X ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Y ),
% 0.92/1.48 c_Divides_Odiv__class_Odiv( tc_Int_Oint, X, Y ) =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.48 c_Divides_Odiv__class_Odiv( tc_Int_Oint, X, Y ),
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.92/1.48 tc_Int_Oint ), Y ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.92/1.48 Z ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.48 c_Divides_Odiv__class_Odiv( tc_Int_Oint, X, Z ),
% 0.92/1.48 c_Divides_Odiv__class_Odiv( tc_Int_Oint, X, Y ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Divides_Odiv__class_Odiv(
% 0.92/1.48 tc_Int_Oint, X, Y ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.92/1.48 tc_Int_Oint ), c_Divides_Odiv__class_Odiv( tc_Int_Oint, X, Y ) ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.92/1.48 tc_Int_Oint ), c_Divides_Odiv__class_Odiv( tc_Int_Oint, X, Y ) ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.92/1.48 tc_Int_Oint ), Y ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.92/1.48 tc_Int_Oint ), Y ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Divides_Odiv__class_Odiv(
% 0.92/1.48 tc_Int_Oint, X, Y ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.92/1.48 ( tc_Int_Oint ), X ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Divides_Odiv__class_Odiv(
% 0.92/1.48 tc_Int_Oint, Y, X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X
% 0.92/1.48 , Y ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.92/1.48 ( tc_Int_Oint ), X ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X
% 0.92/1.48 , Y ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Divides_Odiv__class_Odiv(
% 0.92/1.48 tc_Int_Oint, Y, X ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.92/1.48 ( tc_Int_Oint ), X ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Divides_Odiv__class_Odiv(
% 0.92/1.48 tc_Int_Oint, Y, X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.92/1.48 ( tc_Int_Oint ), X ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Divides_Odiv__class_Odiv(
% 0.92/1.48 tc_Int_Oint, Y, X ) ) }.
% 0.92/1.48 { ! c_Divides_Odiv__class_Odiv( tc_Int_Oint, Y, X ) =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), alpha13( X, Y ) }.
% 0.92/1.48 { ! X = c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.92/1.48 c_Divides_Odiv__class_Odiv( tc_Int_Oint, Y, X ) =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.92/1.48 { ! alpha13( X, Y ), c_Divides_Odiv__class_Odiv( tc_Int_Oint, Y, X ) =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.92/1.48 { ! alpha13( X, Y ), alpha30( X, Y ), alpha37( X, Y ) }.
% 0.92/1.48 { ! alpha30( X, Y ), alpha13( X, Y ) }.
% 0.92/1.48 { ! alpha37( X, Y ), alpha13( X, Y ) }.
% 0.92/1.48 { ! alpha37( X, Y ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.92/1.48 { ! alpha37( X, Y ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Y ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Y ), alpha37( X, Y ) }.
% 0.92/1.48 { ! alpha30( X, Y ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ) }.
% 0.92/1.48 { ! alpha30( X, Y ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), alpha30( X, Y ) }.
% 0.92/1.48 { X = c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.92/1.48 c_Divides_Odiv__class_Odiv( tc_Int_Oint, X, X ) =
% 0.92/1.48 c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.92/1.48 ( tc_Int_Oint ), X ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.92/1.48 c_Groups_Oone__class_Oone( tc_Int_Oint ), Y ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Divides_Odiv__class_Odiv(
% 0.92/1.48 tc_Int_Oint, X, Y ), X ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.92/1.48 c_Groups_Ominus__class_Ominus( tc_Int_Oint, X, c_Groups_Oone__class_Oone
% 0.92/1.48 ( tc_Int_Oint ) ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.92/1.48 .
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.92/1.48 c_Groups_Ominus__class_Ominus( tc_Int_Oint, X, c_Groups_Oone__class_Oone
% 0.92/1.48 ( tc_Int_Oint ) ) ) }.
% 0.92/1.48 { ! X = c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.92/1.48 c_Groups_Osgn__class_Osgn( tc_Int_Oint, X ) = c_Groups_Ozero__class_Ozero
% 0.92/1.48 ( tc_Int_Oint ) }.
% 0.92/1.48 { X = c_Groups_Ozero__class_Ozero( tc_Int_Oint ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.92/1.48 tc_Int_Oint ), X ), c_Groups_Osgn__class_Osgn( tc_Int_Oint, X ) =
% 0.92/1.48 c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.92/1.48 { X = c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.92/1.48 tc_Int_Oint ), X ), c_Groups_Osgn__class_Osgn( tc_Int_Oint, X ) =
% 0.92/1.48 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Groups_Oone__class_Oone(
% 0.92/1.48 tc_Int_Oint ) ) }.
% 0.92/1.48 { ! c_Complex_Oii = c_Int_Onumber__class_Onumber__of( tc_Complex_Ocomplex,
% 0.92/1.48 X ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), c_Groups_Oabs__class_Oabs(
% 0.92/1.48 tc_Int_Oint, X ) = c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) }.
% 0.92/1.48 { c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), c_Groups_Oabs__class_Oabs(
% 0.92/1.48 tc_Int_Oint, X ) = X }.
% 0.92/1.48 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Groups_Oplus__class_Oplus
% 0.92/1.48 ( tc_Int_Oint, Y, X ) ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.92/1.48 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ),
% 0.92/1.48 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) }.
% 0.92/1.48 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ) =
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 0.92/1.48 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ominus__class_Ominus
% 0.92/1.48 ( tc_Int_Oint, Y, X ), c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.92/1.48 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ),
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.92/1.48 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 0.92/1.48 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) =
% 0.92/1.48 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ) }.
% 0.92/1.48 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Ouminus__class_Ouminus
% 0.92/1.48 ( tc_Int_Oint, X ), X ) = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.92/1.48 { c_Groups_Ominus__class_Ominus( tc_Int_Oint,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) =
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 0.92/1.48 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) }.
% 0.92/1.48 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) =
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.92/1.48 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) }.
% 0.92/1.48 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint,
% 0.92/1.48 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) = X }.
% 0.92/1.48 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.92/1.48 ( tc_Int_Oint ) ) = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.92/1.48 { c_Groups_Ozero__class_Ozero( tc_Int_Oint ) =
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OPls ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) }.
% 0.92/1.48 { c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) =
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 0.92/1.48 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) =
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Y ) }.
% 0.92/1.48 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, c_Groups_Oplus__class_Oplus
% 0.92/1.48 ( tc_Int_Oint, Y, X ) ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, X ) ) }.
% 0.92/1.48 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.92/1.48 tc_Int_Oint, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z,
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 0.92/1.48 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, X ) }.
% 0.92/1.48 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Y ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Z ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, Z ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Y ), Y = X }.
% 0.92/1.48 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), Y = X,
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Y ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, T, Z ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.92/1.48 tc_Int_Oint, Y, T ), c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Z ) ) }
% 0.92/1.48 .
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, Y ),
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, X ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.92/1.48 tc_Int_Oint, Y, Z ), c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Z ) ) }
% 0.92/1.48 .
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), ! Y = X }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), Y = X,
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.92/1.48 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Ozero__class_Ozero
% 0.92/1.48 ( tc_Int_Oint ) ) = X }.
% 0.92/1.48 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.92/1.48 tc_Int_Oint ), X ) = X }.
% 0.92/1.48 { ! c_Groups_Ozero__class_Ozero( tc_Int_Oint ) = c_Groups_Oone__class_Oone
% 0.92/1.48 ( tc_Int_Oint ) }.
% 0.92/1.48 { c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.92/1.48 tc_Int_Oint ), c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.92/1.48 tc_Int_Oint ) ), X ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.92/1.48 tc_Int_Oint ), c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.92/1.48 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus
% 0.92/1.48 ( tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.92/1.48 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ),
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.92/1.48 tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.92/1.48 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ),
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.92/1.48 tc_Int_Oint ) ), X ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X )
% 0.92/1.48 }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.92/1.48 tc_Int_Oint ) ), X ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oabs__class_Oabs(
% 0.92/1.48 tc_Int_Oint, X ), c_Groups_Oone__class_Oone( tc_Int_Oint ) ), X =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.92/1.48 { ! X = c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oabs__class_Oabs(
% 0.92/1.48 tc_Int_Oint, X ), c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.92/1.48 tc_Int_Oint ) ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), Y
% 0.92/1.48 = X }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.92/1.48 tc_Int_Oint ) ) ) }.
% 0.92/1.48 { ! Y = X, c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.92/1.48 tc_Int_Oint ) ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.92/1.48 tc_Int_Oint ) ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X )
% 0.92/1.48 }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.92/1.48 tc_Int_Oint ) ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.48 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.92/1.48 tc_Int_Oint ), X ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.92/1.48 ( tc_Int_Oint ), X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.48 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ) }.
% 0.92/1.48 { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.92/1.48 tc_Int_Oint, c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ) =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.92/1.48 { c_Groups_Oone__class_Oone( tc_Int_Oint ) =
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 0.92/1.48 ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ) ),
% 0.92/1.48 c_Divides_Odiv__class_Odiv( tc_Int_Oint, c_Int_Onumber__class_Onumber__of
% 0.92/1.48 ( tc_Int_Oint, c_Int_OBit1( X ) ), c_Int_Onumber__class_Onumber__of(
% 0.92/1.48 tc_Int_Oint, c_Int_OBit0( Y ) ) ) = c_Divides_Odiv__class_Odiv(
% 0.92/1.48 tc_Int_Oint, c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ) ) }.
% 0.92/1.48 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ) ),
% 0.92/1.48 c_Divides_Odiv__class_Odiv( tc_Int_Oint, c_Int_Onumber__class_Onumber__of
% 0.92/1.48 ( tc_Int_Oint, c_Int_OBit1( X ) ), c_Int_Onumber__class_Onumber__of(
% 0.92/1.48 tc_Int_Oint, c_Int_OBit0( Y ) ) ) = c_Divides_Odiv__class_Odiv(
% 0.92/1.48 tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ),
% 0.92/1.48 c_Groups_Oone__class_Oone( tc_Int_Oint ) ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ) ) }.
% 0.92/1.48 { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) =
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ),
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) =
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) }.
% 0.92/1.48 { ! c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.48 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OPls ) =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.92/1.48 { c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) =
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OPls ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ), alpha14( X, Y ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.92/1.48 { ! alpha14( X, Y ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.92/1.48 { ! alpha14( X, Y ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.92/1.48 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), alpha14( X, Y ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ), alpha14( X
% 0.92/1.48 , Y ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) }.
% 0.92/1.48 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) }.
% 0.92/1.48 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.92/1.48 { c_RComplete_Onatfloor( c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal
% 0.92/1.48 , X ) ) = c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) }.
% 0.92/1.48 { c_RComplete_Onatceiling( c_Int_Onumber__class_Onumber__of(
% 0.92/1.48 tc_RealDef_Oreal, X ) ) = c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 0.92/1.48 X ) }.
% 0.92/1.48 { c_Groups_Osgn__class_Osgn( tc_RealDef_Oreal, X ) =
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X,
% 0.92/1.48 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( c_Int_OBit1(
% 0.92/1.48 c_Int_OPls ) ) ) ), X = c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X =
% 0.92/1.48 c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.92/1.48 ( tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.92/1.48 tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.92/1.48 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 0.92/1.48 ) = c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.92/1.48 { c_Groups_Oone__class_Oone( tc_Nat_Onat ) =
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 0.92/1.48 ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.92/1.48 c_Groups_Osgn__class_Osgn( tc_RealDef_Oreal, X ) =
% 0.92/1.48 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.92/1.48 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OBit1(
% 0.92/1.48 c_Int_OPls ) ) ) = c_Nat_OSuc( c_Nat_OSuc( c_Nat_OSuc(
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) ) }.
% 0.92/1.48 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 0.92/1.48 ) = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.92/1.48 { c_Nat_OSuc( c_Nat_OSuc( c_Nat_OSuc( X ) ) ) = c_Groups_Oplus__class_Oplus
% 0.92/1.48 ( tc_Nat_Onat, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1
% 0.92/1.48 ( c_Int_OBit1( c_Int_OPls ) ) ), X ) }.
% 0.92/1.48 { ! X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.48 c_Groups_Osgn__class_Osgn( tc_RealDef_Oreal, X ) =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.92/1.48 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.92/1.48 c_Groups_Osgn__class_Osgn( tc_RealDef_Oreal, X ) =
% 0.92/1.48 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.92/1.48 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.92/1.48 c_Groups_Osgn__class_Osgn( tc_RealDef_Oreal, X ) =
% 0.92/1.48 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.92/1.48 { ! X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.48 c_Groups_Osgn__class_Osgn( tc_RealDef_Oreal, X ) =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.92/1.48 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.92/1.48 c_Groups_Osgn__class_Osgn( tc_RealDef_Oreal, X ) =
% 0.92/1.48 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.92/1.48 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.92/1.48 c_Groups_Osgn__class_Osgn( tc_RealDef_Oreal, X ) =
% 0.92/1.48 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.92/1.48 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.92/1.48 c_Int_OPls ) ) ) = c_Nat_OSuc( c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.92/1.48 tc_Nat_Onat ) ) ) }.
% 0.92/1.48 { c_Nat_OSuc( c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) =
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.92/1.48 c_Int_OPls ) ) ) }.
% 0.92/1.48 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.92/1.48 c_Int_OPls ) ) ), X ) = c_Nat_OSuc( c_Nat_OSuc( X ) ) }.
% 0.92/1.48 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.92/1.48 c_Int_OPls ) ) ) ) = c_Nat_OSuc( c_Nat_OSuc( X ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OPls ), X ),
% 0.92/1.48 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) =
% 0.92/1.48 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y,
% 0.92/1.48 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 0.92/1.48 ) ) ) }.
% 0.92/1.48 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Oone__class_Oone(
% 0.92/1.48 tc_Nat_Onat ), c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) =
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.92/1.48 c_Int_OPls ) ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.92/1.48 ( tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) = c_Nat_OSuc(
% 0.92/1.48 c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ),
% 0.92/1.48 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) }.
% 0.92/1.48 { c_Divides_Odiv__class_Odiv( tc_Nat_Onat, c_Nat_OSuc( c_Nat_OSuc( X ) ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.92/1.48 c_Int_OPls ) ) ) ) = c_Nat_OSuc( c_Divides_Odiv__class_Odiv( tc_Nat_Onat
% 0.92/1.48 , X, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0(
% 0.92/1.48 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.92/1.48 { c_Divides_Odiv__class_Odiv( tc_Nat_Onat, c_Nat_OSuc( c_Nat_OSuc(
% 0.92/1.48 c_Nat_OSuc( Y ) ) ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) )
% 0.92/1.48 = c_Divides_Odiv__class_Odiv( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.92/1.48 tc_Nat_Onat, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1(
% 0.92/1.48 c_Int_OBit1( c_Int_OPls ) ) ), Y ), c_Int_Onumber__class_Onumber__of(
% 0.92/1.48 tc_Nat_Onat, X ) ) }.
% 0.92/1.48 { c_Divides_Odiv__class_Odiv( tc_Nat_Onat, c_Nat_OSuc( c_Nat_OSuc(
% 0.92/1.48 c_Nat_OSuc( Y ) ) ), X ) = c_Divides_Odiv__class_Odiv( tc_Nat_Onat,
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OBit1(
% 0.92/1.48 c_Int_OPls ) ) ), Y ), X ) }.
% 0.92/1.48 { c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, c_Nat_OSuc( c_Nat_OSuc(
% 0.92/1.48 c_Nat_OSuc( X ) ) ) ) = c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y,
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OBit1(
% 0.92/1.48 c_Int_OPls ) ) ), X ) ) }.
% 0.92/1.48 { c_Divides_Odiv__class_Odiv( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.92/1.48 tc_Nat_Onat, X, X ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 0.92/1.48 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) = X }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.92/1.48 c_Int_OPls ) ) ) ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X =
% 0.92/1.48 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oone__class_Oone(
% 0.92/1.48 tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Divides_Odiv__class_Odiv(
% 0.92/1.48 tc_Nat_Onat, X, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 0.92/1.48 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.92/1.48 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Divides_Odiv__class_Odiv(
% 0.92/1.48 tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.92/1.48 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.92/1.48 c_Int_OPls ) ) ) ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.48 c_Int_OBit1( c_Int_OPls ) ) ), c_Groups_Oabs__class_Oabs(
% 0.92/1.48 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.92/1.48 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.92/1.48 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_z____ ) ),
% 0.92/1.48 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) ) ),
% 0.92/1.48 c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( c_Groups_Oplus__class_Oplus(
% 0.92/1.48 tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ), ! c_Orderings_Oord__class_Oless
% 0.92/1.48 ( tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.48 c_Int_OBit1( c_Int_OPls ) ) ), c_Groups_Oabs__class_Oabs(
% 0.92/1.48 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.92/1.48 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.92/1.48 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_z____ ) ),
% 0.92/1.48 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) ) ) ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.48 c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.92/1.48 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.92/1.48 v_N1____, v_N2____ ) ) ) ), c_Rings_Oinverse__class_Oinverse(
% 0.92/1.48 tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.48 c_Int_OBit1( c_Int_OPls ) ) ), c_Groups_Oabs__class_Oabs(
% 0.92/1.48 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.92/1.48 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.92/1.48 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_z____ ) ),
% 0.92/1.48 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) ) ) ) ) }
% 0.92/1.48 .
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, T, Z ) ), X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.92/1.48 c_Int_OBit1( c_Int_OPls ) ) ), X ), c_Groups_Oplus__class_Oplus(
% 0.92/1.48 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, T, Z ) ), Y ) ) }.
% 0.92/1.48 { ! class_RealVector_Oreal__normed__field( X ), Y =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X,
% 0.92/1.48 c_Rings_Oinverse__class_Oinverse( X, Y ),
% 0.92/1.48 c_Rings_Oinverse__class_Oinverse( X, Z ) ), T ) =
% 0.92/1.48 c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes( X,
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.92/1.48 ), c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X
% 0.92/1.48 , Y, Z ), T ) ), c_Rings_Oinverse__class_Oinverse( X, Z ) ) ) }.
% 0.92/1.48 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.48 , Z = c_Groups_Ozero__class_Ozero( X ), c_Groups_Ominus__class_Ominus( X
% 0.92/1.48 , c_Rings_Oinverse__class_Oinverse( X, Y ),
% 0.92/1.48 c_Rings_Oinverse__class_Oinverse( X, Z ) ) =
% 0.92/1.48 c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes( X,
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.92/1.48 ), c_Groups_Ominus__class_Ominus( X, Y, Z ) ),
% 0.92/1.48 c_Rings_Oinverse__class_Oinverse( X, Z ) ) ) }.
% 0.92/1.48 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.48 , Z = c_Groups_Ozero__class_Ozero( X ), c_Groups_Ominus__class_Ominus( X
% 0.92/1.48 , c_Rings_Oinverse__class_Oinverse( X, Y ),
% 0.92/1.48 c_Rings_Oinverse__class_Oinverse( X, Z ) ) =
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X,
% 0.92/1.48 c_Rings_Oinverse__class_Oinverse( X, Y ), c_Groups_Ominus__class_Ominus(
% 0.92/1.48 X, Z, Y ) ), c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Otimes__class_Otimes(
% 0.92/1.48 X, c_Int_Onumber__class_Onumber__of( X, Z ), Y ) ) =
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 0.92/1.48 c_Groups_Otimes__class_Otimes( tc_Int_Oint, T, Z ) ), Y ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, Z ),
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, c_Groups_Otimes__class_Otimes(
% 0.92/1.48 tc_Int_Oint, Z, Y ) ) }.
% 0.92/1.48 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.92/1.48 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ) ) =
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.92/1.48 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.92/1.48 { c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) = X }.
% 0.92/1.48 { ! class_Rings_Odivision__ring__inverse__zero( X ),
% 0.92/1.48 c_Rings_Oinverse__class_Oinverse( X, c_Groups_Ouminus__class_Ouminus( X,
% 0.92/1.48 Y ) ) = c_Groups_Ouminus__class_Ouminus( X,
% 0.92/1.48 c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.92/1.48 { ! class_RealVector_Oreal__normed__div__algebra( X ),
% 0.92/1.48 c_Groups_Osgn__class_Osgn( X, c_Groups_Otimes__class_Otimes( X, Z, Y ) )
% 0.92/1.48 = c_Groups_Otimes__class_Otimes( X, c_Groups_Osgn__class_Osgn( X, Z ),
% 0.92/1.48 c_Groups_Osgn__class_Osgn( X, Y ) ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__idom( X ), c_Groups_Osgn__class_Osgn( X,
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, c_Groups_Osgn__class_Osgn( X, Z ),
% 0.92/1.48 c_Groups_Osgn__class_Osgn( X, Y ) ) }.
% 0.92/1.48 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.92/1.48 Y ) ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes
% 0.92/1.48 ( X, Z, Y ) ) }.
% 0.92/1.48 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.92/1.48 Y ) ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes
% 0.92/1.48 ( X, Z, Y ) ) }.
% 0.92/1.48 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.92/1.48 , Y ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes
% 0.92/1.48 ( X, Z, Y ) ) }.
% 0.92/1.48 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.92/1.48 , Y ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes
% 0.92/1.48 ( X, Z, Y ) ) }.
% 0.92/1.48 { ! class_Rings_Oidom( X ), ! c_Groups_Otimes__class_Otimes( X, Z, Z ) =
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, Y, Y ), Z = Y, Z =
% 0.92/1.48 c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.92/1.48 { ! class_Rings_Oidom( X ), ! Z = Y, c_Groups_Otimes__class_Otimes( X, Z, Z
% 0.92/1.48 ) = c_Groups_Otimes__class_Otimes( X, Y, Y ) }.
% 0.92/1.48 { ! class_Rings_Oidom( X ), ! Z = c_Groups_Ouminus__class_Ouminus( X, Y ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, Z, Z ) = c_Groups_Otimes__class_Otimes
% 0.92/1.48 ( X, Y, Y ) }.
% 0.92/1.48 { ! class_Rings_Oring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.92/1.48 c_Groups_Ouminus__class_Ouminus( X, Z ), c_Groups_Ouminus__class_Ouminus
% 0.92/1.48 ( X, Y ) ) = c_Groups_Otimes__class_Otimes( X, Z, Y ) }.
% 0.92/1.48 { ! class_Rings_Oring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.92/1.48 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) =
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.92/1.48 Y ) ) }.
% 0.92/1.48 { ! class_Rings_Oring( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.92/1.48 , Y ) }.
% 0.92/1.48 { ! class_Rings_Oring( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.92/1.48 Y ) ) }.
% 0.92/1.48 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Ominus__class_Ominus( X, Z
% 0.92/1.48 , Y ) ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.92/1.48 ( X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.92/1.48 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Ominus__class_Ominus( X, Z
% 0.92/1.48 , Y ) ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.92/1.48 ( X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.92/1.48 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, T, Z
% 0.92/1.48 ), Y ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.92/1.48 ( X, T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.92/1.48 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, T, Z
% 0.92/1.48 ), Y ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.92/1.48 ( X, T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.92/1.48 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.92/1.48 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ) =
% 0.92/1.48 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ), Z = Y }.
% 0.92/1.48 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! Z = Y,
% 0.92/1.48 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ) =
% 0.92/1.48 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) }.
% 0.92/1.48 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.92/1.48 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ) =
% 0.92/1.48 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ), Z = Y }.
% 0.92/1.48 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! Z = Y,
% 0.92/1.48 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ) =
% 0.92/1.48 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) }.
% 0.92/1.48 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, Y ), X ) =
% 0.92/1.48 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.92/1.48 { ! class_Rings_Osemiring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Oplus__class_Oplus( X
% 0.92/1.48 , c_Groups_Otimes__class_Otimes( X, Z, T ), Y ) ) =
% 0.92/1.48 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.92/1.48 c_Groups_Oplus__class_Oplus( X, U, Z ), T ), Y ) }.
% 0.92/1.48 { ! class_Rings_Ocomm__semiring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.92/1.48 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.92/1.48 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.92/1.48 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.92/1.48 , Y ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.92/1.48 , T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.92/1.48 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.92/1.48 , Y ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.92/1.48 , T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.92/1.48 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.92/1.48 ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.92/1.48 T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.92/1.48 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.92/1.48 ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.92/1.48 T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.92/1.48 { ! class_Rings_Omult__zero( X ), c_Groups_Otimes__class_Otimes( X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.48 }.
% 0.92/1.48 { ! class_Rings_Omult__zero( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.48 { ! class_Rings_Oring__no__zero__divisors( X ), !
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.92/1.48 ), Z = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero
% 0.92/1.48 ( X ) }.
% 0.92/1.48 { ! class_Rings_Oring__no__zero__divisors( X ), ! Z =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.92/1.48 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.48 { ! class_Rings_Oring__no__zero__divisors( X ), ! Y =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.92/1.48 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.48 { ! class_Rings_Ono__zero__divisors( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.92/1.48 X ), Z = c_Groups_Ozero__class_Ozero( X ), !
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, Y, Z ) = c_Groups_Ozero__class_Ozero( X
% 0.92/1.48 ) }.
% 0.92/1.48 { ! class_Rings_Ono__zero__divisors( X ), ! c_Groups_Otimes__class_Otimes(
% 0.92/1.48 X, Z, Y ) = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.92/1.48 .
% 0.92/1.48 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, Y, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.48 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, Y, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.48 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, c_Groups_Ozero__class_Ozero( X ), Y ) =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.48 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, c_Groups_Ozero__class_Ozero( X ), Y ) =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.48 { c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.92/1.48 { ! class_Rings_Odivision__ring__inverse__zero( X ),
% 0.92/1.48 c_Rings_Oinverse__class_Oinverse( X, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.48 { ! class_Rings_Odivision__ring__inverse__zero( X ), !
% 0.92/1.48 c_Rings_Oinverse__class_Oinverse( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.92/1.48 ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.48 { ! class_Rings_Odivision__ring__inverse__zero( X ), ! Y =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Oinverse( X, Y
% 0.92/1.48 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.48 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.48 , ! c_Rings_Oinverse__class_Oinverse( X, Y ) =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.48 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.48 , c_Rings_Oinverse__class_Oinverse( X, c_Rings_Oinverse__class_Oinverse(
% 0.92/1.48 X, Y ) ) = Y }.
% 0.92/1.48 { ! class_Rings_Odivision__ring( X ), ! c_Rings_Oinverse__class_Oinverse( X
% 0.92/1.48 , Y ) = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero
% 0.92/1.48 ( X ) }.
% 0.92/1.48 { ! class_Rings_Odivision__ring( X ), ! c_Rings_Oinverse__class_Oinverse( X
% 0.92/1.48 , Z ) = c_Rings_Oinverse__class_Oinverse( X, Y ), Z =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z
% 0.92/1.48 = Y }.
% 0.92/1.48 { ! class_RealVector_Oreal__normed__algebra( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.48 c_RealVector_Onorm__class_Onorm( X, Z ), Y ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.48 c_RealVector_Onorm__class_Onorm( X, U ), T ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.48 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.92/1.48 U ) ), c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, T ) ) }.
% 0.92/1.48 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.48 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.92/1.48 Y ) ), c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.92/1.48 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.92/1.48 ( X, Y ) ) ) }.
% 0.92/1.48 { ! class_RealVector_Oreal__normed__div__algebra( X ), Y =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), c_RealVector_Onorm__class_Onorm( X,
% 0.92/1.48 c_Rings_Oinverse__class_Oinverse( X, Y ) ) =
% 0.92/1.48 c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal,
% 0.92/1.48 c_RealVector_Onorm__class_Onorm( X, Y ) ) }.
% 0.92/1.48 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.48 , Z = c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.48 c_Rings_Oinverse__class_Oinverse( X, Y ),
% 0.92/1.48 c_Rings_Oinverse__class_Oinverse( X, Z ) ) =
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X,
% 0.92/1.48 c_Rings_Oinverse__class_Oinverse( X, Y ), c_Groups_Oplus__class_Oplus( X
% 0.92/1.48 , Y, Z ) ), c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 0.92/1.48 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.92/1.48 T, c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.92/1.48 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.92/1.48 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.92/1.48 ( X ), U = T, Z = Y, ! c_Groups_Oplus__class_Oplus( X,
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.92/1.48 X, T, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, U, Y ), c_Groups_Otimes__class_Otimes(
% 0.92/1.48 X, T, Z ) ) }.
% 0.92/1.48 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.92/1.48 ( X ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.92/1.48 U, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) =
% 0.92/1.48 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Y )
% 0.92/1.48 , c_Groups_Otimes__class_Otimes( X, T, Z ) ), ! U = T }.
% 0.92/1.48 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.92/1.48 ( X ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.92/1.48 U, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) =
% 0.92/1.48 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Y )
% 0.92/1.48 , c_Groups_Otimes__class_Otimes( X, T, Z ) ), ! Z = Y }.
% 0.92/1.48 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.92/1.48 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.92/1.48 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.92/1.48 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Groups_Otimes__class_Otimes(
% 0.92/1.48 X, Y, Z ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.92/1.48 c_Groups_Oplus__class_Oplus( X, T, Y ), Z ) }.
% 0.92/1.48 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.92/1.48 ( X ), ! c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.92/1.48 , U, T ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.92/1.48 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Y )
% 0.92/1.48 , c_Groups_Otimes__class_Otimes( X, Z, T ) ), U = Z, T = Y }.
% 0.92/1.48 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.92/1.48 ( X ), ! U = Z, c_Groups_Oplus__class_Oplus( X,
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.92/1.48 X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, U, Y ), c_Groups_Otimes__class_Otimes(
% 0.92/1.48 X, Z, T ) ) }.
% 0.92/1.48 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.92/1.48 ( X ), ! T = Y, c_Groups_Oplus__class_Oplus( X,
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.92/1.48 X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, U, Y ), c_Groups_Otimes__class_Otimes(
% 0.92/1.48 X, Z, T ) ) }.
% 0.92/1.48 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.92/1.48 Y, c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.48 }.
% 0.92/1.48 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.48 }.
% 0.92/1.48 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.48 , Z = c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Oinverse
% 0.92/1.48 ( X, c_Groups_Otimes__class_Otimes( X, Y, Z ) ) =
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, c_Rings_Oinverse__class_Oinverse( X, Z
% 0.92/1.48 ), c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.92/1.48 { ! class_Fields_Ofield__inverse__zero( X ),
% 0.92/1.48 c_Rings_Oinverse__class_Oinverse( X, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.48 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.48 c_Rings_Oinverse__class_Oinverse( X, Y ),
% 0.92/1.48 c_Rings_Oinverse__class_Oinverse( X, Z ) ) =
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X,
% 0.92/1.48 c_Groups_Oplus__class_Oplus( X, Y, Z ), c_Rings_Oinverse__class_Oinverse
% 0.92/1.48 ( X, Y ) ), c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 0.92/1.48 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.92/1.48 ), Y ) = c_Groups_Oone__class_Oone( X ) }.
% 0.92/1.48 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.92/1.48 c_Rings_Oinverse__class_Oinverse( X, Y ) = c_Groups_Oone__class_Oone( X )
% 0.92/1.48 , Y = c_Groups_Oone__class_Oone( X ) }.
% 0.92/1.48 { ! class_Fields_Ofield__inverse__zero( X ), ! Y =
% 0.92/1.48 c_Groups_Oone__class_Oone( X ), c_Rings_Oinverse__class_Oinverse( X, Y )
% 0.92/1.48 = c_Groups_Oone__class_Oone( X ) }.
% 0.92/1.48 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) = X }.
% 0.92/1.48 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.92/1.48 c_Groups_Oone__class_Oone( X ), Y ) = Y }.
% 0.92/1.48 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.92/1.48 Y, c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.92/1.48 { ! class_Groups_Omonoid__mult( X ), c_Groups_Otimes__class_Otimes( X,
% 0.92/1.48 c_Groups_Oone__class_Oone( X ), Y ) = Y }.
% 0.92/1.48 { ! class_Groups_Ocomm__monoid__mult( X ), c_Groups_Otimes__class_Otimes( X
% 0.92/1.48 , c_Groups_Oone__class_Oone( X ), Y ) = Y }.
% 0.92/1.48 { ! class_Groups_Omonoid__mult( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.92/1.48 c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.92/1.48 { ! class_Groups_Ocomm__monoid__mult( X ), c_Groups_Otimes__class_Otimes( X
% 0.92/1.48 , Y, c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.92/1.48 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Oinverse( X,
% 0.92/1.48 c_Groups_Oone__class_Oone( X ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.92/1.48 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.92/1.48 c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, X ), X ) =
% 0.92/1.48 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.92/1.48 { ! class_Rings_Odivision__ring( X ), ! c_Groups_Otimes__class_Otimes( X, Z
% 0.92/1.48 , Y ) = c_Groups_Oone__class_Oone( X ), c_Rings_Oinverse__class_Oinverse
% 0.92/1.48 ( X, Z ) = Y }.
% 0.92/1.48 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.48 , c_Groups_Otimes__class_Otimes( X, Y, c_Rings_Oinverse__class_Oinverse(
% 0.92/1.48 X, Y ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.92/1.48 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.48 , c_Groups_Otimes__class_Otimes( X, c_Rings_Oinverse__class_Oinverse( X,
% 0.92/1.48 Y ), Y ) = c_Groups_Oone__class_Oone( X ) }.
% 0.92/1.48 { ! class_RealVector_Oreal__normed__div__algebra( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z,
% 0.92/1.48 c_RealVector_Onorm__class_Onorm( X, Y ) ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Z ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.48 c_RealVector_Onorm__class_Onorm( X, c_Rings_Oinverse__class_Oinverse( X,
% 0.92/1.48 Y ) ), c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, Z ) ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse( X
% 0.92/1.48 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.48 ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.48 ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.48 c_Rings_Oinverse__class_Oinverse( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.92/1.48 ) ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.48 c_Rings_Oinverse__class_Oinverse( X, Y ) ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.48 ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.48 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.92/1.48 ), c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.48 c_Rings_Oinverse__class_Oinverse( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.92/1.48 ( X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.48 c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.92/1.48 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.92/1.48 , Y, c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.92/1.48 ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.48 X, c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless(
% 0.92/1.48 X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Oinverse( X
% 0.92/1.48 , Y ) ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.48 X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Oinverse( X
% 0.92/1.48 , Y ) ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ) }
% 0.92/1.48 .
% 0.92/1.48 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.48 X, Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless(
% 0.92/1.48 X, c_Rings_Oinverse__class_Oinverse( X, Y ), c_Groups_Ozero__class_Ozero
% 0.92/1.48 ( X ) ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.48 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.48 c_Rings_Oinverse__class_Oinverse( X, Y ),
% 0.92/1.48 c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.48 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.48 c_Rings_Oinverse__class_Oinverse( X, Y ),
% 0.92/1.48 c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.48 X, c_Rings_Oinverse__class_Oinverse( X, Y ), c_Groups_Ozero__class_Ozero
% 0.92/1.48 ( X ) ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ) }
% 0.92/1.48 .
% 0.92/1.48 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.48 X, c_Rings_Oinverse__class_Oinverse( X, Z ),
% 0.92/1.48 c_Rings_Oinverse__class_Oinverse( X, Y ) ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.92/1.48 X, c_Rings_Oinverse__class_Oinverse( X, Z ),
% 0.92/1.48 c_Rings_Oinverse__class_Oinverse( X, Y ) ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.92/1.48 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.48 , c_Rings_Oinverse__class_Oinverse( X, c_Groups_Ouminus__class_Ouminus( X
% 0.92/1.48 , Y ) ) = c_Groups_Ouminus__class_Ouminus( X,
% 0.92/1.48 c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.92/1.48 { ! class_Fields_Olinordered__field( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.92/1.48 X ), c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.92/1.48 ) ) = c_Rings_Oinverse__class_Oinverse( X, c_Groups_Oabs__class_Oabs( X
% 0.92/1.48 , Y ) ) }.
% 0.92/1.48 { ! class_Fields_Ofield( X ), c_Rings_Oinverse__class_Oinverse( X, Y ) =
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X ), Y ) }
% 0.92/1.48 .
% 0.92/1.48 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Oinverse( X,
% 0.92/1.48 Y ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X )
% 0.92/1.48 , Y ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__ring( X ), c_Orderings_Oord__class_Oless__eq(
% 0.92/1.48 X, c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Y
% 0.92/1.48 , Y ) ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), alpha15( X, Y, Z ), alpha31(
% 0.92/1.48 X, Y, Z ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha15( X, Y, Z ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha31( X, Y, Z ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.92/1.48 { ! alpha31( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.48 { ! alpha31( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.92/1.48 ) ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ) ), alpha31( X, Y, Z ) }.
% 0.92/1.48 { ! alpha15( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.92/1.48 { ! alpha15( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.48 , Z ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), Y ), alpha15( X, Y, Z ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.92/1.48 , Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha16( X, Y, Z ), alpha32( X
% 0.92/1.48 , Y, Z ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha16( X, Y, Z ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.92/1.48 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha32( X, Y, Z ),
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.92/1.48 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.48 { ! alpha32( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.48 { ! alpha32( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.92/1.48 ) ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.92/1.48 ( X ), Y ), alpha32( X, Y, Z ) }.
% 0.92/1.48 { ! alpha16( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.92/1.48 { ! alpha16( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.48 , Z ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ) ), alpha16( X, Y, Z ) }.
% 0.92/1.48 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.48 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.92/1.48 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Y, Z
% 0.92/1.48 ) ) }.
% 0.92/1.48 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.48 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.48 , c_Groups_Otimes__class_Otimes( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 0.92/1.48 X ) ) }.
% 0.92/1.48 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.48 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.48 , c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero(
% 0.92/1.48 X ) ) }.
% 0.92/1.48 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.48 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.92/1.48 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, Y, Z ), c_Groups_Ozero__class_Ozero( X
% 0.92/1.48 ) ) }.
% 0.92/1.48 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.48 , Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.48 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.92/1.48 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.92/1.48 { ! class_Rings_Oordered__semiring( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.92/1.48 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 0.92/1.48 X, Z, T ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.92/1.48 { ! class_Rings_Oordered__semiring( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.92/1.48 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 0.92/1.48 X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.92/1.48 { ! class_Rings_Oordered__comm__semiring( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.92/1.48 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 0.92/1.48 X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.92/1.48 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.48 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.48 , c_Groups_Otimes__class_Otimes( X, Y, T ), c_Groups_Otimes__class_Otimes
% 0.92/1.48 ( X, Z, T ) ) }.
% 0.92/1.48 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.48 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.48 , c_Groups_Otimes__class_Otimes( X, T, Y ), c_Groups_Otimes__class_Otimes
% 0.92/1.48 ( X, T, Z ) ) }.
% 0.92/1.48 { ! class_Rings_Oordered__semiring( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.92/1.48 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.92/1.48 X ), U ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, Z, U ), c_Groups_Otimes__class_Otimes(
% 0.92/1.48 X, Y, T ) ) }.
% 0.92/1.48 { ! class_Rings_Oordered__semiring( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.48 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.92/1.48 X ), U ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, Z, U ), c_Groups_Otimes__class_Otimes(
% 0.92/1.48 X, Y, T ) ) }.
% 0.92/1.48 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.48 , c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.92/1.48 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.92/1.48 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.92/1.48 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.48 , Z, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.48 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.92/1.48 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.92/1.48 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.92/1.48 ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.92/1.48 , c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero(
% 0.92/1.48 X ) ) }.
% 0.92/1.48 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 0.92/1.48 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.92/1.48 X ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero( X
% 0.92/1.48 ) ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.92/1.48 ( X, T, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.92/1.48 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, T, Z ) ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.92/1.48 ( X, T, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.92/1.48 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, Z, T ) ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__comm__semiring__strict( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.92/1.48 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.92/1.48 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.92/1.48 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.92/1.48 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.92/1.48 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.92/1.48 ( X, c_Groups_Otimes__class_Otimes( X, Z, T ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.92/1.48 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.92/1.48 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.92/1.48 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.92/1.48 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.92/1.48 Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.92/1.48 ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.92/1.48 T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.92/1.48 ! c_Orderings_Oord__class_Oless( X, Z, T ), c_Orderings_Oord__class_Oless
% 0.92/1.48 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ) }
% 0.92/1.48 .
% 0.92/1.48 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ) }
% 0.92/1.48 .
% 0.92/1.48 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.92/1.48 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.92/1.48 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.92/1.48 Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.92/1.48 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.92/1.48 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.92/1.48 Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.92/1.48 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.92/1.48 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.92/1.48 ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.92/1.48 T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, T, Z ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.92/1.48 ! c_Orderings_Oord__class_Oless( X, T, Z ), c_Orderings_Oord__class_Oless
% 0.92/1.48 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.92/1.48 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ), alpha17( X, Y, Z, T ),
% 0.92/1.48 alpha33( X, Y, Z, T ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha17( X, Y, Z, T ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.92/1.48 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha33( X, Y, Z, T ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.92/1.48 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.92/1.48 { ! alpha33( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.48 { ! alpha33( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Ozero__class_Ozero( X ) )
% 0.92/1.48 , ! c_Orderings_Oord__class_Oless( X, Y, Z ), alpha33( X, Y, Z, T ) }.
% 0.92/1.48 { ! alpha17( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), T ) }.
% 0.92/1.48 { ! alpha17( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T )
% 0.92/1.48 , ! c_Orderings_Oord__class_Oless( X, Z, Y ), alpha17( X, Y, Z, T ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.92/1.48 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ), alpha18( X, Y, Z, T ),
% 0.92/1.48 alpha34( X, Y, Z, T ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha18( X, Y, Z, T ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.92/1.48 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha34( X, Y, Z, T ),
% 0.92/1.48 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.92/1.48 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.92/1.48 { ! alpha34( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Z,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.92/1.48 { ! alpha34( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Y, T ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.92/1.48 , ! c_Orderings_Oord__class_Oless( X, Y, T ), alpha34( X, Y, Z, T ) }.
% 0.92/1.48 { ! alpha18( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.92/1.48 { ! alpha18( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.92/1.48 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.92/1.48 , ! c_Orderings_Oord__class_Oless( X, T, Y ), alpha18( X, Y, Z, T ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__ring( X ), ! c_Orderings_Oord__class_Oless( X
% 0.92/1.48 , c_Groups_Otimes__class_Otimes( X, Y, Y ), c_Groups_Ozero__class_Ozero(
% 0.92/1.48 X ) ) }.
% 0.92/1.48 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.92/1.48 ( X ), Y = c_Groups_Ozero__class_Ozero( X ), ! W = U, T = Z, !
% 0.92/1.48 c_Groups_Oplus__class_Oplus( X, W, c_Groups_Otimes__class_Otimes( X, Y, T
% 0.92/1.48 ) ) = c_Groups_Oplus__class_Oplus( X, U, c_Groups_Otimes__class_Otimes(
% 0.92/1.48 X, Y, Z ) ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.92/1.48 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z )
% 0.92/1.48 , c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.92/1.48 .
% 0.92/1.48 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.92/1.48 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z )
% 0.92/1.48 , c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.92/1.48 .
% 0.92/1.48 { ! class_Rings_Olinordered__ring__strict( X ), ! Z =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.48 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z
% 0.92/1.48 ), c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.92/1.48 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.92/1.48 ( X, c_Groups_Oone__class_Oone( X ), Z ), c_Orderings_Oord__class_Oless(
% 0.92/1.48 X, c_Groups_Oone__class_Oone( X ), c_Groups_Otimes__class_Otimes( X, Y, Z
% 0.92/1.48 ) ) }.
% 0.92/1.48 { ! class_Int_Onumber( X ), ! class_Rings_Osemiring( X ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.92/1.48 ), c_Groups_Oplus__class_Oplus( X, Z, Y ) ) =
% 0.92/1.48 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, T ), Z ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.92/1.48 ), Y ) ) }.
% 0.92/1.48 { ! class_Int_Onumber( X ), ! class_Rings_Osemiring( X ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.92/1.48 , c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.92/1.48 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Groups_Otimes__class_Otimes
% 0.92/1.48 ( X, Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.92/1.48 { ! class_Rings_Oring( X ), c_Groups_Ominus__class_Ominus( X,
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.92/1.48 X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, U, c_Groups_Ominus__class_Ominus( X, T
% 0.92/1.48 , Y ) ), c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus
% 0.92/1.48 ( X, U, Z ), Y ) ) }.
% 0.92/1.48 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.92/1.48 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, U, T
% 0.92/1.48 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.92/1.48 c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X,
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, U, Z
% 0.92/1.48 ), c_Groups_Ominus__class_Ominus( X, T, Y ) ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, U, Z
% 0.92/1.48 ), Y ) ), c_Groups_Otimes__class_Otimes( X, Z,
% 0.92/1.48 c_Groups_Ominus__class_Ominus( X, T, Y ) ) ) }.
% 0.92/1.48 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.92/1.48 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.92/1.48 , Y ), T = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes
% 0.92/1.48 ( X, c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) }.
% 0.92/1.48 { ! class_Rings_Oring( X ), ! T = c_Groups_Oplus__class_Oplus( X,
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, Z, W
% 0.92/1.48 ), U ), Y ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.92/1.48 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.92/1.48 , Y ) }.
% 0.92/1.48 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.92/1.48 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.92/1.48 , Y ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.92/1.48 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ) = Y }.
% 0.92/1.48 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, W, Z
% 0.92/1.48 ), U ), T ) = Y, c_Groups_Oplus__class_Oplus( X,
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.92/1.48 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.92/1.48 , Y ) }.
% 0.92/1.48 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, Z, Y ), Y ) =
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.92/1.48 c_Groups_Oone__class_Oone( X ) ), Y ) }.
% 0.92/1.48 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Z
% 0.92/1.48 , c_Groups_Otimes__class_Otimes( X, Y, Z ) ) =
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, Y,
% 0.92/1.48 c_Groups_Oone__class_Oone( X ) ), Z ) }.
% 0.92/1.48 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.92/1.48 , Y ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X
% 0.92/1.48 , c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ), Y ) }
% 0.92/1.48 .
% 0.92/1.48 { ! class_Int_Onumber( X ), ! class_Rings_Oring( X ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.92/1.48 ), c_Groups_Ominus__class_Ominus( X, Z, Y ) ) =
% 0.92/1.48 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, T ), Z ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.92/1.48 ), Y ) ) }.
% 0.92/1.48 { ! class_Int_Onumber( X ), ! class_Rings_Oring( X ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, T, Z
% 0.92/1.48 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.92/1.48 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.92/1.48 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Groups_Otimes__class_Otimes
% 0.92/1.48 ( X, Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.92/1.48 { ! class_Fields_Ofield__inverse__zero( X ), ! T =
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha35( X, Y, Z, T ) }.
% 0.92/1.48 { ! class_Fields_Ofield__inverse__zero( X ), ! T =
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha19( X, Y, T ) }.
% 0.92/1.48 { ! class_Fields_Ofield__inverse__zero( X ), ! alpha35( X, Y, Z, T ), !
% 0.92/1.48 alpha19( X, Y, T ), T = c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.92/1.48 { ! alpha35( X, Y, Z, T ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, T, Y ) = Z }.
% 0.92/1.48 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha35( X, Y, Z, T ) }.
% 0.92/1.48 { ! c_Groups_Otimes__class_Otimes( X, T, Y ) = Z, alpha35( X, Y, Z, T ) }.
% 0.92/1.48 { ! alpha19( X, Y, Z ), ! Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.48 { Y = c_Groups_Ozero__class_Ozero( X ), alpha19( X, Y, Z ) }.
% 0.92/1.48 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha19( X, Y, Z ) }.
% 0.92/1.48 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y, alpha36( X, Y, Z, T ) }.
% 0.92/1.48 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y, alpha20( X, Y, Z ) }.
% 0.92/1.48 { ! class_Fields_Ofield__inverse__zero( X ), ! alpha36( X, Y, Z, T ), !
% 0.92/1.48 alpha20( X, Y, Z ), c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y }.
% 0.92/1.48 { ! alpha36( X, Y, Z, T ), Z = c_Groups_Ozero__class_Ozero( X ), T =
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, Y, Z ) }.
% 0.92/1.48 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha36( X, Y, Z, T ) }.
% 0.92/1.48 { ! T = c_Groups_Otimes__class_Otimes( X, Y, Z ), alpha36( X, Y, Z, T ) }.
% 0.92/1.48 { ! alpha20( X, Y, Z ), ! Z = c_Groups_Ozero__class_Ozero( X ), Y =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ) }.
% 0.92/1.48 { Z = c_Groups_Ozero__class_Ozero( X ), alpha20( X, Y, Z ) }.
% 0.92/1.48 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha20( X, Y, Z ) }.
% 0.92/1.48 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, T, Y ), c_Groups_Otimes__class_Otimes(
% 0.92/1.48 X, Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.92/1.48 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, Y, T ), c_Groups_Otimes__class_Otimes(
% 0.92/1.48 X, Y, Z ) ) = c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.92/1.48 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), ! c_Rings_Oinverse__class_Odivide( X, U
% 0.92/1.48 , Y ) = c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, U, Z ) = c_Groups_Otimes__class_Otimes
% 0.92/1.48 ( X, T, Y ) }.
% 0.92/1.48 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.92/1.48 c_Groups_Ozero__class_Ozero( X ), ! c_Groups_Otimes__class_Otimes( X, U,
% 0.92/1.48 Z ) = c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( X, U, Y ) =
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.92/1.48 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.48 , ! c_Groups_Otimes__class_Otimes( X, T, Y ) = Z, T =
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.92/1.48 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.48 , ! T = c_Groups_Otimes__class_Otimes( X, Z, Y ),
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z }.
% 0.92/1.48 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.48 , ! c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z, T =
% 0.92/1.48 c_Groups_Otimes__class_Otimes( X, Z, Y ) }.
% 0.92/1.48 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.92/1.48 , ! T = c_Groups_Otimes__class_Otimes( X, Z, Y ),
% 0.92/1.48 c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z }.
% 0.92/1.48 { ! class_Groups_Ocancel__comm__monoid__add( X ),
% 0.92/1.48 class_Groups_Ocancel__comm__monoid__add( tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.48 { class_Groups_Ocancel__comm__monoid__add( tc_Complex_Ocomplex ) }.
% 0.92/1.48 { class_Groups_Ocancel__comm__monoid__add( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Groups_Ocancel__comm__monoid__add( tc_Nat_Onat ) }.
% 0.92/1.48 { class_Groups_Ocancel__comm__monoid__add( tc_Int_Oint ) }.
% 0.92/1.48 { ! class_Lattices_Oboolean__algebra( X ), class_Lattices_Oboolean__algebra
% 0.92/1.48 ( tc_fun( Y, X ) ) }.
% 0.92/1.48 { ! class_Orderings_Opreorder( X ), class_Orderings_Opreorder( tc_fun( Y, X
% 0.92/1.48 ) ) }.
% 0.92/1.48 { ! class_Orderings_Oorder( X ), class_Orderings_Oorder( tc_fun( Y, X ) ) }
% 0.92/1.48 .
% 0.92/1.48 { ! class_Orderings_Oord( X ), class_Orderings_Oord( tc_fun( Y, X ) ) }.
% 0.92/1.48 { ! class_Groups_Ouminus( X ), class_Groups_Ouminus( tc_fun( Y, X ) ) }.
% 0.92/1.48 { ! class_Groups_Ominus( X ), class_Groups_Ominus( tc_fun( Y, X ) ) }.
% 0.92/1.48 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.92/1.48 tc_Int_Oint ) }.
% 0.92/1.48 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_Int_Oint ) }.
% 0.92/1.48 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Int_Oint ) }.
% 0.92/1.48 { class_Rings_Olinordered__comm__semiring__strict( tc_Int_Oint ) }.
% 0.92/1.48 { class_Rings_Olinordered__semiring__strict( tc_Int_Oint ) }.
% 0.92/1.48 { class_Groups_Oordered__ab__semigroup__add( tc_Int_Oint ) }.
% 0.92/1.48 { class_Groups_Oordered__ab__group__add__abs( tc_Int_Oint ) }.
% 0.92/1.48 { class_Groups_Oordered__comm__monoid__add( tc_Int_Oint ) }.
% 0.92/1.48 { class_Groups_Olinordered__ab__group__add( tc_Int_Oint ) }.
% 0.92/1.48 { class_Groups_Ocancel__ab__semigroup__add( tc_Int_Oint ) }.
% 0.92/1.48 { class_Rings_Oordered__cancel__semiring( tc_Int_Oint ) }.
% 0.92/1.48 { class_Rings_Olinordered__ring__strict( tc_Int_Oint ) }.
% 0.92/1.48 { class_Rings_Oring__no__zero__divisors( tc_Int_Oint ) }.
% 0.92/1.48 { class_Rings_Oordered__comm__semiring( tc_Int_Oint ) }.
% 0.92/1.48 { class_Groups_Oordered__ab__group__add( tc_Int_Oint ) }.
% 0.92/1.48 { class_Groups_Ocancel__semigroup__add( tc_Int_Oint ) }.
% 0.92/1.48 { class_Rings_Olinordered__semidom( tc_Int_Oint ) }.
% 0.92/1.48 { class_Groups_Ocomm__monoid__mult( tc_Int_Oint ) }.
% 0.92/1.48 { class_Groups_Oab__semigroup__add( tc_Int_Oint ) }.
% 0.92/1.48 { class_Rings_Oordered__semiring( tc_Int_Oint ) }.
% 0.92/1.48 { class_Rings_Ono__zero__divisors( tc_Int_Oint ) }.
% 0.92/1.48 { class_Groups_Ocomm__monoid__add( tc_Int_Oint ) }.
% 0.92/1.48 { class_Rings_Olinordered__ring( tc_Int_Oint ) }.
% 0.92/1.48 { class_Rings_Olinordered__idom( tc_Int_Oint ) }.
% 0.92/1.48 { class_Rings_Ocomm__semiring__1( tc_Int_Oint ) }.
% 0.92/1.48 { class_Rings_Ocomm__semiring__0( tc_Int_Oint ) }.
% 0.92/1.48 { class_Divides_Osemiring__div( tc_Int_Oint ) }.
% 0.92/1.48 { class_Rings_Ocomm__semiring( tc_Int_Oint ) }.
% 0.92/1.48 { class_Groups_Oab__group__add( tc_Int_Oint ) }.
% 0.92/1.48 { class_Rings_Ozero__neq__one( tc_Int_Oint ) }.
% 0.92/1.48 { class_Rings_Oordered__ring( tc_Int_Oint ) }.
% 0.92/1.48 { class_Orderings_Opreorder( tc_Int_Oint ) }.
% 0.92/1.48 { class_Orderings_Olinorder( tc_Int_Oint ) }.
% 0.92/1.48 { class_Groups_Omonoid__mult( tc_Int_Oint ) }.
% 0.92/1.48 { class_Rings_Ocomm__ring__1( tc_Int_Oint ) }.
% 0.92/1.48 { class_Groups_Omonoid__add( tc_Int_Oint ) }.
% 0.92/1.48 { class_Groups_Ogroup__add( tc_Int_Oint ) }.
% 0.92/1.48 { class_Rings_Omult__zero( tc_Int_Oint ) }.
% 0.92/1.48 { class_Rings_Ocomm__ring( tc_Int_Oint ) }.
% 0.92/1.48 { class_Orderings_Oorder( tc_Int_Oint ) }.
% 0.92/1.48 { class_Int_Oring__char__0( tc_Int_Oint ) }.
% 0.92/1.48 { class_Int_Onumber__ring( tc_Int_Oint ) }.
% 0.92/1.48 { class_Rings_Osemiring( tc_Int_Oint ) }.
% 0.92/1.48 { class_Orderings_Oord( tc_Int_Oint ) }.
% 0.92/1.48 { class_Groups_Ouminus( tc_Int_Oint ) }.
% 0.92/1.48 { class_Groups_Osgn__if( tc_Int_Oint ) }.
% 0.92/1.48 { class_Groups_Oabs__if( tc_Int_Oint ) }.
% 0.92/1.48 { class_Groups_Ominus( tc_Int_Oint ) }.
% 0.92/1.48 { class_Groups_Ozero( tc_Int_Oint ) }.
% 0.92/1.48 { class_Rings_Oring( tc_Int_Oint ) }.
% 0.92/1.48 { class_Rings_Oidom( tc_Int_Oint ) }.
% 0.92/1.48 { class_Int_Onumber( tc_Int_Oint ) }.
% 0.92/1.48 { class_Groups_Oone( tc_Int_Oint ) }.
% 0.92/1.48 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.92/1.48 tc_Nat_Onat ) }.
% 0.92/1.48 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.92/1.48 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Nat_Onat ) }.
% 0.92/1.48 { class_Rings_Olinordered__comm__semiring__strict( tc_Nat_Onat ) }.
% 0.92/1.48 { class_Rings_Olinordered__semiring__strict( tc_Nat_Onat ) }.
% 0.92/1.48 { class_Groups_Oordered__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.92/1.48 { class_Groups_Oordered__comm__monoid__add( tc_Nat_Onat ) }.
% 0.92/1.48 { class_Groups_Ocancel__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.92/1.48 { class_Rings_Oordered__cancel__semiring( tc_Nat_Onat ) }.
% 0.92/1.48 { class_Rings_Oordered__comm__semiring( tc_Nat_Onat ) }.
% 0.92/1.48 { class_Groups_Ocancel__semigroup__add( tc_Nat_Onat ) }.
% 0.92/1.48 { class_Rings_Olinordered__semidom( tc_Nat_Onat ) }.
% 0.92/1.48 { class_Groups_Ocomm__monoid__mult( tc_Nat_Onat ) }.
% 0.92/1.48 { class_Groups_Oab__semigroup__add( tc_Nat_Onat ) }.
% 0.92/1.48 { class_Rings_Oordered__semiring( tc_Nat_Onat ) }.
% 0.92/1.48 { class_Rings_Ono__zero__divisors( tc_Nat_Onat ) }.
% 0.92/1.48 { class_Groups_Ocomm__monoid__add( tc_Nat_Onat ) }.
% 0.92/1.48 { class_Rings_Ocomm__semiring__1( tc_Nat_Onat ) }.
% 0.92/1.48 { class_Rings_Ocomm__semiring__0( tc_Nat_Onat ) }.
% 0.92/1.48 { class_Divides_Osemiring__div( tc_Nat_Onat ) }.
% 0.92/1.48 { class_Rings_Ocomm__semiring( tc_Nat_Onat ) }.
% 0.92/1.48 { class_Rings_Ozero__neq__one( tc_Nat_Onat ) }.
% 0.92/1.48 { class_Orderings_Opreorder( tc_Nat_Onat ) }.
% 0.92/1.48 { class_Orderings_Olinorder( tc_Nat_Onat ) }.
% 0.92/1.48 { class_Groups_Omonoid__mult( tc_Nat_Onat ) }.
% 0.92/1.48 { class_Groups_Omonoid__add( tc_Nat_Onat ) }.
% 0.92/1.48 { class_Rings_Omult__zero( tc_Nat_Onat ) }.
% 0.92/1.48 { class_Orderings_Oorder( tc_Nat_Onat ) }.
% 0.92/1.48 { class_Rings_Osemiring( tc_Nat_Onat ) }.
% 0.92/1.48 { class_Orderings_Oord( tc_Nat_Onat ) }.
% 0.92/1.48 { class_Groups_Ominus( tc_Nat_Onat ) }.
% 0.92/1.48 { class_Groups_Ozero( tc_Nat_Onat ) }.
% 0.92/1.48 { class_Int_Onumber( tc_Nat_Onat ) }.
% 0.92/1.48 { class_Groups_Oone( tc_Nat_Onat ) }.
% 0.92/1.48 { class_Lattices_Oboolean__algebra( tc_HOL_Obool ) }.
% 0.92/1.48 { class_Orderings_Opreorder( tc_HOL_Obool ) }.
% 0.92/1.48 { class_Orderings_Oorder( tc_HOL_Obool ) }.
% 0.92/1.48 { class_Orderings_Oord( tc_HOL_Obool ) }.
% 0.92/1.48 { class_Groups_Ouminus( tc_HOL_Obool ) }.
% 0.92/1.48 { class_Groups_Ominus( tc_HOL_Obool ) }.
% 0.92/1.48 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.92/1.48 tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_RealDef_Oreal ) }
% 0.92/1.48 .
% 0.92/1.48 { class_Rings_Olinordered__comm__semiring__strict( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Fields_Olinordered__field__inverse__zero( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_RealVector_Oreal__normed__div__algebra( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Rings_Olinordered__semiring__strict( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Rings_Odivision__ring__inverse__zero( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_RealVector_Oreal__normed__algebra__1( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Groups_Oordered__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Groups_Oordered__ab__group__add__abs( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_RealVector_Oreal__normed__algebra( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Groups_Oordered__comm__monoid__add( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Groups_Olinordered__ab__group__add( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Groups_Ocancel__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Rings_Oordered__cancel__semiring( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_RealVector_Oreal__normed__vector( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Rings_Olinordered__ring__strict( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_RealVector_Oreal__normed__field( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Rings_Oring__no__zero__divisors( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Rings_Oordered__comm__semiring( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Groups_Oordered__ab__group__add( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Groups_Ocancel__semigroup__add( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Fields_Ofield__inverse__zero( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Rings_Olinordered__semidom( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Groups_Ocomm__monoid__mult( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Groups_Oab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Fields_Olinordered__field( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Rings_Oordered__semiring( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Rings_Ono__zero__divisors( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Groups_Ocomm__monoid__add( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Rings_Olinordered__ring( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Rings_Olinordered__idom( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Rings_Ocomm__semiring__1( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Rings_Ocomm__semiring__0( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Rings_Odivision__ring( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Rings_Ocomm__semiring( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Groups_Oab__group__add( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Rings_Ozero__neq__one( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Rings_Oordered__ring( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Orderings_Opreorder( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Orderings_Olinorder( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Groups_Omonoid__mult( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Rings_Ocomm__ring__1( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Groups_Omonoid__add( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Groups_Ogroup__add( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Rings_Omult__zero( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Rings_Ocomm__ring( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Orderings_Oorder( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Int_Oring__char__0( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Int_Onumber__ring( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Rings_Osemiring( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Orderings_Oord( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Groups_Ouminus( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Groups_Osgn__if( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Groups_Oabs__if( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Groups_Ominus( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Fields_Ofield( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Groups_Ozero( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Rings_Oring( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Rings_Oidom( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Int_Onumber( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Groups_Oone( tc_RealDef_Oreal ) }.
% 0.92/1.48 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.92/1.48 tc_Complex_Ocomplex ) }.
% 0.92/1.48 { class_RealVector_Oreal__normed__div__algebra( tc_Complex_Ocomplex ) }.
% 0.92/1.48 { class_Rings_Odivision__ring__inverse__zero( tc_Complex_Ocomplex ) }.
% 0.92/1.48 { class_RealVector_Oreal__normed__algebra__1( tc_Complex_Ocomplex ) }.
% 0.92/1.48 { class_RealVector_Oreal__normed__algebra( tc_Complex_Ocomplex ) }.
% 0.92/1.48 { class_Groups_Ocancel__ab__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.92/1.48 { class_RealVector_Oreal__normed__vector( tc_Complex_Ocomplex ) }.
% 0.92/1.48 { class_RealVector_Oreal__normed__field( tc_Complex_Ocomplex ) }.
% 0.92/1.48 { class_Rings_Oring__no__zero__divisors( tc_Complex_Ocomplex ) }.
% 0.92/1.48 { class_Groups_Ocancel__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.92/1.48 { class_Fields_Ofield__inverse__zero( tc_Complex_Ocomplex ) }.
% 0.92/1.48 { class_Groups_Ocomm__monoid__mult( tc_Complex_Ocomplex ) }.
% 0.92/1.48 { class_Groups_Oab__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.92/1.48 { class_Rings_Ono__zero__divisors( tc_Complex_Ocomplex ) }.
% 0.92/1.48 { class_Groups_Ocomm__monoid__add( tc_Complex_Ocomplex ) }.
% 0.92/1.48 { class_Rings_Ocomm__semiring__1( tc_Complex_Ocomplex ) }.
% 0.92/1.48 { class_Rings_Ocomm__semiring__0( tc_Complex_Ocomplex ) }.
% 0.92/1.48 { class_Rings_Odivision__ring( tc_Complex_Ocomplex ) }.
% 0.92/1.48 { class_Rings_Ocomm__semiring( tc_Complex_Ocomplex ) }.
% 0.92/1.48 { class_Groups_Oab__group__add( tc_Complex_Ocomplex ) }.
% 0.92/1.48 { class_Rings_Ozero__neq__one( tc_Complex_Ocomplex ) }.
% 0.92/1.48 { class_Groups_Omonoid__mult( tc_Complex_Ocomplex ) }.
% 0.92/1.48 { class_Rings_Ocomm__ring__1( tc_Complex_Ocomplex ) }.
% 0.92/1.48 { class_Groups_Omonoid__add( tc_Complex_Ocomplex ) }.
% 0.92/1.48 { class_Groups_Ogroup__add( tc_Complex_Ocomplex ) }.
% 0.92/1.48 { class_Rings_Omult__zero( tc_Complex_Ocomplex ) }.
% 0.92/1.48 { class_Rings_Ocomm__ring( tc_Complex_Ocomplex ) }.
% 0.92/1.48 { class_Int_Oring__char__0( tc_Complex_Ocomplex ) }.
% 0.92/1.48 { class_Int_Onumber__ring( tc_Complex_Ocomplex ) }.
% 0.92/1.48 { class_Rings_Osemiring( tc_Complex_Ocomplex ) }.
% 0.92/1.48 { class_Groups_Ouminus( tc_Complex_Ocomplex ) }.
% 0.92/1.48 { class_Groups_Ominus( tc_Complex_Ocomplex ) }.
% 0.92/1.48 { class_Fields_Ofield( tc_Complex_Ocomplex ) }.
% 0.92/1.48 { class_Groups_Ozero( tc_Complex_Ocomplex ) }.
% 0.92/1.48 { class_Rings_Oring( tc_Complex_Ocomplex ) }.
% 0.92/1.48 { class_Rings_Oidom( tc_Complex_Ocomplex ) }.
% 0.92/1.48 { class_Int_Onumber( tc_Complex_Ocomplex ) }.
% 0.92/1.48 { class_Groups_Oone( tc_Complex_Ocomplex ) }.
% 0.92/1.48 { ! class_Rings_Oidom( X ),
% 0.92/1.48 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.92/1.48 tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__idom( X ),
% 0.92/1.48 class_Groups_Oordered__cancel__ab__semigroup__add( tc_Polynomial_Opoly( X
% 0.92/1.48 ) ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__idom( X ),
% 0.92/1.48 class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Polynomial_Opoly(
% 0.92/1.48 X ) ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__idom( X ),
% 0.92/1.48 class_Rings_Olinordered__comm__semiring__strict( tc_Polynomial_Opoly( X )
% 0.92/1.48 ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__idom( X ),
% 0.92/1.48 class_Rings_Olinordered__semiring__strict( tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__idom( X ),
% 0.92/1.48 class_Groups_Oordered__ab__semigroup__add( tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__idom( X ),
% 0.92/1.48 class_Groups_Oordered__ab__group__add__abs( tc_Polynomial_Opoly( X ) ) }
% 0.92/1.48 .
% 0.92/1.48 { ! class_Rings_Olinordered__idom( X ),
% 0.92/1.48 class_Groups_Oordered__comm__monoid__add( tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__idom( X ),
% 0.92/1.48 class_Groups_Olinordered__ab__group__add( tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.48 { ! class_Groups_Ocancel__comm__monoid__add( X ),
% 0.92/1.48 class_Groups_Ocancel__ab__semigroup__add( tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__idom( X ),
% 0.92/1.48 class_Rings_Oordered__cancel__semiring( tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__idom( X ),
% 0.92/1.48 class_Rings_Olinordered__ring__strict( tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.48 { ! class_Rings_Oidom( X ), class_Rings_Oring__no__zero__divisors(
% 0.92/1.48 tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__idom( X ),
% 0.92/1.48 class_Rings_Oordered__comm__semiring( tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__idom( X ),
% 0.92/1.48 class_Groups_Oordered__ab__group__add( tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.48 { ! class_Groups_Ocancel__comm__monoid__add( X ),
% 0.92/1.48 class_Groups_Ocancel__semigroup__add( tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__idom( X ), class_Rings_Olinordered__semidom(
% 0.92/1.48 tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.48 { ! class_Rings_Ocomm__semiring__1( X ), class_Groups_Ocomm__monoid__mult(
% 0.92/1.48 tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.48 { ! class_Groups_Ocomm__monoid__add( X ), class_Groups_Oab__semigroup__add
% 0.92/1.48 ( tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__idom( X ), class_Rings_Oordered__semiring(
% 0.92/1.48 tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.48 { ! class_Rings_Oidom( X ), class_Rings_Ono__zero__divisors(
% 0.92/1.48 tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.48 { ! class_Groups_Ocomm__monoid__add( X ), class_Groups_Ocomm__monoid__add(
% 0.92/1.48 tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__idom( X ), class_Rings_Olinordered__ring(
% 0.92/1.48 tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.48 { ! class_Rings_Olinordered__idom( X ), class_Rings_Olinordered__idom(
% 0.92/1.48 tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.48 { ! class_Rings_Ocomm__semiring__1( X ), class_Rings_Ocomm__semiring__1(
% 0.92/1.48 tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.48 { ! class_Rings_Ocomm__semiring__0( X ), class_Rings_Ocomm__semiring__0(
% 0.92/1.48 tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.48 { ! class_Fields_Ofield( X ), class_Divides_Osemiring__div(
% 0.92/1.48 tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.48 { ! class_Rings_Ocomm__semiring__0( X ), class_Rings_Ocomm__semiring(
% 0.92/1.49 tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.49 { ! class_Groups_Oab__group__add( X ), class_Groups_Oab__group__add(
% 0.92/1.49 tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.49 { ! class_Rings_Ocomm__semiring__1( X ), class_Rings_Ozero__neq__one(
% 0.92/1.49 tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.49 { ! class_Rings_Olinordered__idom( X ), class_Rings_Oordered__ring(
% 0.92/1.49 tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.49 { ! class_Rings_Olinordered__idom( X ), class_Orderings_Opreorder(
% 0.92/1.49 tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.49 { ! class_Rings_Olinordered__idom( X ), class_Orderings_Olinorder(
% 0.92/1.49 tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.49 { ! class_Rings_Ocomm__semiring__1( X ), class_Groups_Omonoid__mult(
% 0.92/1.49 tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.49 { ! class_Rings_Ocomm__ring__1( X ), class_Rings_Ocomm__ring__1(
% 0.92/1.49 tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.49 { ! class_Groups_Ocomm__monoid__add( X ), class_Groups_Omonoid__add(
% 0.92/1.49 tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.49 { ! class_Groups_Oab__group__add( X ), class_Groups_Ogroup__add(
% 0.92/1.49 tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.49 { ! class_Rings_Ocomm__semiring__0( X ), class_Rings_Omult__zero(
% 0.92/1.49 tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.49 { ! class_Rings_Ocomm__ring( X ), class_Rings_Ocomm__ring(
% 0.92/1.49 tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.49 { ! class_Rings_Olinordered__idom( X ), class_Orderings_Oorder(
% 0.92/1.49 tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.49 { ! class_Rings_Olinordered__idom( X ), class_Int_Oring__char__0(
% 0.92/1.49 tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.49 { ! class_Rings_Ocomm__ring__1( X ), class_Int_Onumber__ring(
% 0.92/1.49 tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.49 { ! class_Rings_Ocomm__semiring__0( X ), class_Rings_Osemiring(
% 0.92/1.49 tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.49 { ! class_Rings_Olinordered__idom( X ), class_Orderings_Oord(
% 0.92/1.49 tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.49 { ! class_Groups_Oab__group__add( X ), class_Groups_Ouminus(
% 0.92/1.49 tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.49 { ! class_Rings_Olinordered__idom( X ), class_Groups_Osgn__if(
% 0.92/1.49 tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.49 { ! class_Rings_Olinordered__idom( X ), class_Groups_Oabs__if(
% 0.92/1.49 tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.49 { ! class_Groups_Oab__group__add( X ), class_Groups_Ominus(
% 0.92/1.49 tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.49 { ! class_Groups_Ozero( X ), class_Groups_Ozero( tc_Polynomial_Opoly( X ) )
% 0.92/1.49 }.
% 0.92/1.49 { ! class_Rings_Ocomm__ring( X ), class_Rings_Oring( tc_Polynomial_Opoly( X
% 0.92/1.49 ) ) }.
% 0.92/1.49 { ! class_Rings_Oidom( X ), class_Rings_Oidom( tc_Polynomial_Opoly( X ) ) }
% 0.92/1.49 .
% 0.92/1.49 { ! class_Rings_Ocomm__ring__1( X ), class_Int_Onumber( tc_Polynomial_Opoly
% 0.92/1.49 ( X ) ) }.
% 0.92/1.49 { ! class_Rings_Ocomm__semiring__1( X ), class_Groups_Oone(
% 0.92/1.49 tc_Polynomial_Opoly( X ) ) }.
% 0.92/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.92/1.49 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.92/1.49 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.92/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.92/1.49 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_g____( hAPP( v_f____,
% 0.92/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ),
% 0.92/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.92/1.49 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_z____ ) ) ) ),
% 0.92/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.92/1.49 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, hAPP(
% 0.92/1.49 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_g____( hAPP( v_f____,
% 0.92/1.49 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ),
% 0.92/1.49 hAPP( c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_z____ ) ) ) ) }.
% 0.92/1.49
% 0.92/1.49 *** allocated 15000 integers for clauses
% 0.92/1.49 *** allocated 22500 integers for clauses
% 0.92/1.49 *** allocated 33750 integers for clauses
% 0.92/1.49 *** allocated 50625 integers for clauses
% 0.92/1.49 *** allocated 75937 integers for clauses
% 0.92/1.49 percentage equality = 0.248499, percentage horn = 0.915222
% 0.92/1.49 This is a problem with some equality
% 0.92/1.49
% 0.92/1.49
% 0.92/1.49
% 0.92/1.49 Options Used:
% 0.92/1.49
% 0.92/1.49 useres = 1
% 0.92/1.49 useparamod = 1
% 0.92/1.49 useeqrefl = 1
% 0.92/1.49 useeqfact = 1
% 0.92/1.49 usefactor = 1
% 0.92/1.49 usesimpsplitting = 0
% 0.92/1.49 usesimpdemod = 5
% 0.92/1.49 usesimpres = 3
% 0.92/1.49
% 0.92/1.49 resimpinuse = 1000
% 0.92/1.49 resimpclauses = 20000
% 0.92/1.49 substype = eqrewr
% 0.92/1.49 backwardsubs = 1
% 0.92/1.49 selectoldest = 5
% 0.92/1.49
% 0.92/1.49 litorderings [0] = split
% 0.92/1.49 litorderings [1] = extend the termordering, first sorting on arguments
% 0.92/1.49
% 0.92/1.49 termordering = kbo
% 0.92/1.49
% 0.92/1.49 litapriori = 0
% 0.92/1.49 termapriori = 1
% 0.92/1.49 litaposteriori = 0
% 0.92/1.49 termaposteriori = 0
% 0.92/1.49 demodaposteriori = 0
% 0.92/1.49 ordereqreflfact = 0
% 0.92/1.49
% 0.92/1.49 litselect = negord
% 0.92/1.49
% 0.92/1.49 maxweight = 15
% 0.92/1.49 maxdepth = 30000
% 0.92/1.49 maxlength = 115
% 0.92/1.49 maxnrvars = 195
% 0.92/1.49 excuselevel = 1
% 0.92/1.49 increasemaxweight = 1
% 0.92/1.49
% 0.92/1.49 maxselected = 10000000
% 0.92/1.49 maxnrclauses = 10000000
% 0.92/1.49
% 0.92/1.49 showgenerated = 0
% 0.92/1.49 showkept = 0
% 0.92/1.49 showselected = 0
% 0.92/1.49 showdeleted = 0
% 0.92/1.49 showresimp = 1
% 0.92/1.49 showstatus = 2000
% 0.92/1.49
% 0.92/1.49 prologoutput = 0
% 0.92/1.49 nrgoals = 5000000
% 0.92/1.49 totalproof = 1
% 0.92/1.49
% 0.92/1.49 Symbols occurring in the translation:
% 0.92/1.49
% 0.92/1.49 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.92/1.49 . [1, 2] (w:1, o:223, a:1, s:1, b:0),
% 0.92/1.49 ! [4, 1] (w:0, o:125, a:1, s:1, b:0),
% 0.92/1.49 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.92/1.49 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.92/1.49 hAPP [38, 2] (w:1, o:247, a:1, s:1, b:0),
% 0.92/1.49 v_f____ [39, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.92/1.49 c_SEQ_Osubseq [40, 1] (w:1, o:132, a:1, s:1, b:0),
% 0.92/1.49 tc_RealDef_Oreal [42, 0] (w:1, o:29, a:1, s:1, b:0),
% 0.92/1.49 tc_Complex_Ocomplex [43, 0] (w:1, o:30, a:1, s:1, b:0),
% 0.92/1.49 v_g____ [44, 1] (w:1, o:133, a:1, s:1, b:0),
% 0.92/1.49 c_RealVector_Onorm__class_Onorm [45, 2] (w:1, o:248, a:1, s:1, b:0),
% 0.92/1.49
% 0.92/1.49 v_r [46, 0] (w:1, o:31, a:1, s:1, b:0),
% 0.92/1.49 c_Orderings_Oord__class_Oless__eq [47, 3] (w:1, o:281, a:1, s:1, b:0)
% 0.92/1.49 ,
% 0.92/1.49 v_w____ [48, 0] (w:1, o:32, a:1, s:1, b:0),
% 0.92/1.49 tc_Nat_Onat [49, 0] (w:1, o:33, a:1, s:1, b:0),
% 0.92/1.49 v_N1____ [50, 0] (w:1, o:34, a:1, s:1, b:0),
% 0.92/1.49 v_N2____ [51, 0] (w:1, o:35, a:1, s:1, b:0),
% 0.92/1.49 c_Groups_Oplus__class_Oplus [52, 3] (w:1, o:282, a:1, s:1, b:0),
% 0.92/1.49 class_RealVector_Oreal__normed__vector [56, 1] (w:1, o:134, a:1, s:1
% 0.92/1.49 , b:0),
% 0.92/1.49 c_Groups_Ominus__class_Ominus [57, 3] (w:1, o:283, a:1, s:1, b:0),
% 0.92/1.49 c_Groups_Oabs__class_Oabs [58, 2] (w:1, o:250, a:1, s:1, b:0),
% 0.92/1.49 class_Groups_Oordered__ab__group__add__abs [61, 1] (w:1, o:139, a:1
% 0.92/1.49 , s:1, b:0),
% 0.92/1.49 c_Groups_Ozero__class_Ozero [65, 1] (w:1, o:140, a:1, s:1, b:0),
% 0.92/1.49 class_Groups_Ocancel__semigroup__add [69, 1] (w:1, o:141, a:1, s:1
% 0.92/1.49 , b:0),
% 0.92/1.49 class_Groups_Ocancel__ab__semigroup__add [70, 1] (w:1, o:142, a:1, s:
% 0.92/1.49 1, b:0),
% 0.92/1.49 class_Groups_Oab__semigroup__add [74, 1] (w:1, o:143, a:1, s:1, b:0)
% 0.92/1.49 ,
% 0.92/1.49 class_Groups_Oab__group__add [76, 1] (w:1, o:144, a:1, s:1, b:0),
% 0.92/1.49 class_Groups_Oordered__ab__semigroup__add__imp__le [77, 1] (w:1, o:
% 0.92/1.49 145, a:1, s:1, b:0),
% 0.92/1.49 class_Groups_Oordered__ab__semigroup__add [78, 1] (w:1, o:146, a:1
% 0.92/1.49 , s:1, b:0),
% 0.92/1.49 class_Groups_Oordered__ab__group__add [79, 1] (w:1, o:147, a:1, s:1
% 0.92/1.49 , b:0),
% 0.92/1.49 class_Groups_Ogroup__add [80, 1] (w:1, o:148, a:1, s:1, b:0),
% 0.92/1.49 v_z____ [81, 0] (w:1, o:70, a:1, s:1, b:0),
% 0.92/1.49 v_d____ [82, 0] (w:1, o:71, a:1, s:1, b:0),
% 0.92/1.49 c_Orderings_Oord__class_Oless [83, 3] (w:1, o:284, a:1, s:1, b:0),
% 0.92/1.49 class_Orderings_Opreorder [86, 1] (w:1, o:151, a:1, s:1, b:0),
% 0.92/1.49 v_s____ [87, 0] (w:1, o:75, a:1, s:1, b:0),
% 0.92/1.49 c_Groups_Ouminus__class_Ouminus [88, 2] (w:1, o:251, a:1, s:1, b:0),
% 0.92/1.49
% 0.92/1.49 v_p [89, 0] (w:1, o:76, a:1, s:1, b:0),
% 0.92/1.49 c_Polynomial_Opoly [90, 2] (w:1, o:252, a:1, s:1, b:0),
% 0.92/1.49 class_Rings_Ocomm__ring [93, 1] (w:1, o:152, a:1, s:1, b:0),
% 0.92/1.49 tc_Polynomial_Opoly [94, 1] (w:1, o:167, a:1, s:1, b:0),
% 0.92/1.49 class_Rings_Ocomm__semiring__0 [95, 1] (w:1, o:169, a:1, s:1, b:0),
% 0.92/1.49 class_Groups_Oabs__if [108, 1] (w:1, o:170, a:1, s:1, b:0),
% 0.92/1.49 class_Groups_Ozero [110, 1] (w:1, o:171, a:1, s:1, b:0),
% 0.92/1.49 class_Groups_Olinordered__ab__group__add [112, 1] (w:1, o:172, a:1
% 0.92/1.49 , s:1, b:0),
% 0.92/1.49 class_Orderings_Olinorder [113, 1] (w:1, o:173, a:1, s:1, b:0),
% 0.92/1.49 class_Orderings_Oorder [114, 1] (w:1, o:149, a:1, s:1, b:0),
% 0.92/1.49 class_Orderings_Oord [115, 1] (w:1, o:150, a:1, s:1, b:0),
% 0.92/1.49 class_Groups_Oordered__comm__monoid__add [116, 1] (w:1, o:174, a:1
% 0.92/1.49 , s:1, b:0),
% 0.92/1.49 class_Groups_Oordered__cancel__ab__semigroup__add [117, 1] (w:1, o:
% 0.92/1.49 175, a:1, s:1, b:0),
% 0.92/1.49 class_Groups_Omonoid__add [118, 1] (w:1, o:176, a:1, s:1, b:0),
% 0.92/1.49 class_Groups_Ocomm__monoid__add [119, 1] (w:1, o:177, a:1, s:1, b:0)
% 0.92/1.49 ,
% 0.92/1.49 tc_fun [124, 2] (w:1, o:264, a:1, s:1, b:0),
% 0.92/1.49 class_Int_Oring__char__0 [128, 1] (w:1, o:178, a:1, s:1, b:0),
% 0.92/1.49 class_Rings_Oidom [129, 1] (w:1, o:179, a:1, s:1, b:0),
% 0.92/1.49 c_Groups_Oone__class_Oone [134, 1] (w:1, o:180, a:1, s:1, b:0),
% 0.92/1.49 class_Rings_Olinordered__idom [135, 1] (w:1, o:181, a:1, s:1, b:0),
% 0.92/1.49 class_Groups_Oone [137, 1] (w:1, o:182, a:1, s:1, b:0),
% 0.92/1.49 class_RealVector_Oreal__normed__algebra__1 [138, 1] (w:1, o:183, a:1
% 0.92/1.49 , s:1, b:0),
% 0.92/1.49 class_Rings_Ocomm__semiring__1 [139, 1] (w:1, o:184, a:1, s:1, b:0),
% 0.92/1.49
% 0.92/1.49 class_Rings_Ozero__neq__one [140, 1] (w:1, o:185, a:1, s:1, b:0),
% 0.92/1.49 hBOOL [142, 1] (w:1, o:186, a:1, s:1, b:0),
% 0.92/1.49 class_Rings_Olinordered__semidom [144, 1] (w:1, o:189, a:1, s:1, b:0)
% 0.92/1.49 ,
% 0.92/1.49 class_Rings_Ocomm__ring__1 [146, 1] (w:1, o:168, a:1, s:1, b:0),
% 0.92/1.49 c_Nat_OSuc [148, 1] (w:1, o:190, a:1, s:1, b:0),
% 0.92/1.49 c_RealDef_Oreal [149, 2] (w:1, o:265, a:1, s:1, b:0),
% 0.92/1.49 c_Rings_Oinverse__class_Odivide [150, 3] (w:1, o:285, a:1, s:1, b:0)
% 0.92/1.49 ,
% 0.92/1.49 class_Fields_Ofield__inverse__zero [157, 1] (w:1, o:135, a:1, s:1, b:
% 0.92/1.49 0),
% 0.92/1.49 class_RealVector_Oreal__normed__field [158, 1] (w:1, o:191, a:1, s:1
% 0.92/1.49 , b:0),
% 0.92/1.49 class_Rings_Odivision__ring__inverse__zero [161, 1] (w:1, o:193, a:1
% 0.92/1.49 , s:1, b:0),
% 0.92/1.49 class_Rings_Odivision__ring [162, 1] (w:1, o:194, a:1, s:1, b:0),
% 0.92/1.49 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct [
% 0.92/1.49 165, 1] (w:1, o:208, a:1, s:1, b:0),
% 0.92/1.49 class_Fields_Olinordered__field__inverse__zero [167, 1] (w:1, o:136
% 0.92/1.49 , a:1, s:1, b:0),
% 0.92/1.49 class_Fields_Olinordered__field [168, 1] (w:1, o:137, a:1, s:1, b:0)
% 0.92/1.49 ,
% 0.92/1.49 c_RComplete_Onatceiling [169, 1] (w:1, o:130, a:1, s:1, b:0),
% 0.92/1.49 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize [170, 2] (w:1, o:
% 0.92/1.49 249, a:1, s:1, b:0),
% 0.92/1.49 c_Polynomial_Oorder [171, 3] (w:1, o:286, a:1, s:1, b:0),
% 0.92/1.49 c_Complex_Oii [173, 0] (w:1, o:111, a:1, s:1, b:0),
% 0.92/1.49 c_RComplete_Onatfloor [174, 1] (w:1, o:131, a:1, s:1, b:0),
% 0.92/1.49 c_Divides_Odiv__class_Odiv [176, 3] (w:1, o:287, a:1, s:1, b:0),
% 0.92/1.49 c_SEQ_Odecseq [177, 2] (w:1, o:267, a:1, s:1, b:0),
% 0.92/1.49 class_Divides_Osemiring__div [178, 1] (w:1, o:209, a:1, s:1, b:0),
% 0.92/1.49 class_Lattices_Oboolean__algebra [179, 1] (w:1, o:210, a:1, s:1, b:0)
% 0.92/1.49 ,
% 0.92/1.49 class_Fields_Ofield [180, 1] (w:1, o:138, a:1, s:1, b:0),
% 0.92/1.49 class_Groups_Ominus [183, 1] (w:1, o:211, a:1, s:1, b:0),
% 0.92/1.49 class_Groups_Ouminus [184, 1] (w:1, o:212, a:1, s:1, b:0),
% 0.92/1.49 c_Groups_Osgn__class_Osgn [185, 2] (w:1, o:268, a:1, s:1, b:0),
% 0.92/1.49 c_Int_OPls [186, 0] (w:1, o:114, a:1, s:1, b:0),
% 0.92/1.49 c_Int_OBit1 [187, 1] (w:1, o:214, a:1, s:1, b:0),
% 0.92/1.49 c_Int_OBit0 [188, 1] (w:1, o:213, a:1, s:1, b:0),
% 0.92/1.49 c_Int_Onumber__class_Onumber__of [189, 2] (w:1, o:269, a:1, s:1, b:0)
% 0.92/1.49 ,
% 0.92/1.49 tc_Int_Oint [191, 0] (w:1, o:116, a:1, s:1, b:0),
% 0.92/1.49 class_Int_Onumber__ring [192, 1] (w:1, o:215, a:1, s:1, b:0),
% 0.92/1.49 class_Int_Onumber [196, 1] (w:1, o:216, a:1, s:1, b:0),
% 0.92/1.49 class_Groups_Osgn__if [197, 1] (w:1, o:217, a:1, s:1, b:0),
% 0.92/1.49 c_Rings_Oinverse__class_Oinverse [210, 2] (w:1, o:266, a:1, s:1, b:0)
% 0.92/1.49 ,
% 0.92/1.49 c_Groups_Otimes__class_Otimes [212, 3] (w:1, o:288, a:1, s:1, b:0),
% 0.92/1.49 class_RealVector_Oreal__normed__div__algebra [214, 1] (w:1, o:195, a:
% 0.92/1.49 1, s:1, b:0),
% 0.92/1.49 class_RealVector_Oreal__normed__algebra [215, 1] (w:1, o:196, a:1, s:
% 0.92/1.49 1, b:0),
% 0.92/1.49 class_Rings_Oring [217, 1] (w:1, o:197, a:1, s:1, b:0),
% 0.92/1.49 class_Rings_Osemiring [218, 1] (w:1, o:199, a:1, s:1, b:0),
% 0.92/1.49 class_Rings_Ocomm__semiring [219, 1] (w:1, o:192, a:1, s:1, b:0),
% 0.92/1.49 class_Rings_Omult__zero [220, 1] (w:1, o:202, a:1, s:1, b:0),
% 0.92/1.49 class_Rings_Oring__no__zero__divisors [221, 1] (w:1, o:198, a:1, s:1
% 0.92/1.49 , b:0),
% 0.92/1.49 class_Rings_Ono__zero__divisors [222, 1] (w:1, o:203, a:1, s:1, b:0)
% 0.92/1.49 ,
% 0.92/1.49 class_Groups_Omonoid__mult [223, 1] (w:1, o:218, a:1, s:1, b:0),
% 0.92/1.49 class_Groups_Ocomm__monoid__mult [224, 1] (w:1, o:219, a:1, s:1, b:0)
% 0.92/1.49 ,
% 0.92/1.49 class_Rings_Olinordered__ring [225, 1] (w:1, o:187, a:1, s:1, b:0),
% 0.92/1.49 class_Rings_Olinordered__ring__strict [226, 1] (w:1, o:188, a:1, s:1
% 0.92/1.49 , b:0),
% 0.92/1.49 class_Rings_Oordered__cancel__semiring [227, 1] (w:1, o:204, a:1, s:1
% 0.92/1.49 , b:0),
% 0.92/1.49 class_Rings_Oordered__ring [228, 1] (w:1, o:205, a:1, s:1, b:0),
% 0.92/1.49 class_Rings_Oordered__semiring [229, 1] (w:1, o:206, a:1, s:1, b:0),
% 0.92/1.49
% 0.92/1.49 class_Rings_Oordered__comm__semiring [230, 1] (w:1, o:207, a:1, s:1
% 0.92/1.49 , b:0),
% 0.92/1.49 class_Rings_Olinordered__comm__semiring__strict [231, 1] (w:1, o:200
% 0.92/1.49 , a:1, s:1, b:0),
% 0.92/1.49 class_Rings_Olinordered__semiring__strict [232, 1] (w:1, o:201, a:1
% 0.92/1.49 , s:1, b:0),
% 0.92/1.49 class_Groups_Ocancel__comm__monoid__add [235, 1] (w:1, o:220, a:1, s:
% 0.92/1.49 1, b:0),
% 0.92/1.49 tc_HOL_Obool [237, 0] (w:1, o:115, a:1, s:1, b:0),
% 0.92/1.49 alpha1 [238, 1] (w:1, o:221, a:1, s:1, b:1),
% 0.92/1.49 alpha2 [239, 3] (w:1, o:295, a:1, s:1, b:1),
% 0.92/1.49 alpha3 [240, 3] (w:1, o:303, a:1, s:1, b:1),
% 0.92/1.49 alpha4 [241, 1] (w:1, o:222, a:1, s:1, b:1),
% 0.92/1.49 alpha5 [242, 2] (w:1, o:270, a:1, s:1, b:1),
% 4.32/4.75 alpha6 [243, 2] (w:1, o:271, a:1, s:1, b:1),
% 4.32/4.75 alpha7 [244, 2] (w:1, o:272, a:1, s:1, b:1),
% 4.32/4.75 alpha8 [245, 2] (w:1, o:273, a:1, s:1, b:1),
% 4.32/4.75 alpha9 [246, 3] (w:1, o:304, a:1, s:1, b:1),
% 4.32/4.75 alpha10 [247, 3] (w:1, o:289, a:1, s:1, b:1),
% 4.32/4.75 alpha11 [248, 3] (w:1, o:290, a:1, s:1, b:1),
% 4.32/4.75 alpha12 [249, 3] (w:1, o:291, a:1, s:1, b:1),
% 4.32/4.75 alpha13 [250, 2] (w:1, o:274, a:1, s:1, b:1),
% 4.32/4.75 alpha14 [251, 2] (w:1, o:275, a:1, s:1, b:1),
% 4.32/4.75 alpha15 [252, 3] (w:1, o:292, a:1, s:1, b:1),
% 4.32/4.75 alpha16 [253, 3] (w:1, o:293, a:1, s:1, b:1),
% 4.32/4.75 alpha17 [254, 4] (w:1, o:317, a:1, s:1, b:1),
% 4.32/4.75 alpha18 [255, 4] (w:1, o:318, a:1, s:1, b:1),
% 4.32/4.75 alpha19 [256, 3] (w:1, o:294, a:1, s:1, b:1),
% 4.32/4.75 alpha20 [257, 3] (w:1, o:296, a:1, s:1, b:1),
% 4.32/4.75 alpha21 [258, 3] (w:1, o:297, a:1, s:1, b:1),
% 4.32/4.75 alpha22 [259, 3] (w:1, o:298, a:1, s:1, b:1),
% 4.32/4.75 alpha23 [260, 2] (w:1, o:276, a:1, s:1, b:1),
% 4.32/4.75 alpha24 [261, 2] (w:1, o:277, a:1, s:1, b:1),
% 4.32/4.75 alpha25 [262, 2] (w:1, o:278, a:1, s:1, b:1),
% 4.32/4.75 alpha26 [263, 3] (w:1, o:299, a:1, s:1, b:1),
% 4.32/4.75 alpha27 [264, 3] (w:1, o:300, a:1, s:1, b:1),
% 4.32/4.75 alpha28 [265, 3] (w:1, o:301, a:1, s:1, b:1),
% 4.32/4.75 alpha29 [266, 3] (w:1, o:302, a:1, s:1, b:1),
% 4.32/4.75 alpha30 [267, 2] (w:1, o:279, a:1, s:1, b:1),
% 4.32/4.75 alpha31 [268, 3] (w:1, o:305, a:1, s:1, b:1),
% 4.32/4.75 alpha32 [269, 3] (w:1, o:306, a:1, s:1, b:1),
% 4.32/4.75 alpha33 [270, 4] (w:1, o:319, a:1, s:1, b:1),
% 4.32/4.75 alpha34 [271, 4] (w:1, o:320, a:1, s:1, b:1),
% 4.32/4.75 alpha35 [272, 4] (w:1, o:321, a:1, s:1, b:1),
% 4.32/4.75 alpha36 [273, 4] (w:1, o:322, a:1, s:1, b:1),
% 4.32/4.75 alpha37 [274, 2] (w:1, o:280, a:1, s:1, b:1),
% 4.32/4.75 alpha38 [275, 3] (w:1, o:307, a:1, s:1, b:1),
% 4.32/4.75 alpha39 [276, 3] (w:1, o:308, a:1, s:1, b:1),
% 4.32/4.75 skol1 [277, 2] (w:1, o:253, a:1, s:1, b:1),
% 4.32/4.75 skol2 [278, 1] (w:1, o:155, a:1, s:1, b:1),
% 4.32/4.75 skol3 [279, 1] (w:1, o:160, a:1, s:1, b:1),
% 4.32/4.75 skol4 [280, 1] (w:1, o:164, a:1, s:1, b:1),
% 4.32/4.75 skol5 [281, 3] (w:1, o:311, a:1, s:1, b:1),
% 4.32/4.75 skol6 [282, 2] (w:1, o:254, a:1, s:1, b:1),
% 4.32/4.75 skol7 [283, 0] (w:1, o:16, a:1, s:1, b:1),
% 4.32/4.75 skol8 [284, 1] (w:1, o:165, a:1, s:1, b:1),
% 4.32/4.75 skol9 [285, 1] (w:1, o:166, a:1, s:1, b:1),
% 4.32/4.75 skol10 [286, 0] (w:1, o:17, a:1, s:1, b:1),
% 4.32/4.75 skol11 [287, 0] (w:1, o:18, a:1, s:1, b:1),
% 4.32/4.75 skol12 [288, 0] (w:1, o:19, a:1, s:1, b:1),
% 4.32/4.75 skol13 [289, 0] (w:1, o:20, a:1, s:1, b:1),
% 4.32/4.75 skol14 [290, 3] (w:1, o:312, a:1, s:1, b:1),
% 4.32/4.75 skol15 [291, 3] (w:1, o:313, a:1, s:1, b:1),
% 4.32/4.75 skol16 [292, 1] (w:1, o:153, a:1, s:1, b:1),
% 4.32/4.75 skol17 [293, 0] (w:1, o:21, a:1, s:1, b:1),
% 4.32/4.75 skol18 [294, 1] (w:1, o:154, a:1, s:1, b:1),
% 4.32/4.75 skol19 [295, 0] (w:1, o:22, a:1, s:1, b:1),
% 4.32/4.75 skol20 [296, 4] (w:1, o:323, a:1, s:1, b:1),
% 4.32/4.75 skol21 [297, 2] (w:1, o:255, a:1, s:1, b:1),
% 4.32/4.75 skol22 [298, 1] (w:1, o:156, a:1, s:1, b:1),
% 4.32/4.75 skol23 [299, 2] (w:1, o:256, a:1, s:1, b:1),
% 4.32/4.75 skol24 [300, 1] (w:1, o:157, a:1, s:1, b:1),
% 4.32/4.75 skol25 [301, 3] (w:1, o:314, a:1, s:1, b:1),
% 4.32/4.75 skol26 [302, 3] (w:1, o:315, a:1, s:1, b:1),
% 4.32/4.75 skol27 [303, 1] (w:1, o:158, a:1, s:1, b:1),
% 4.32/4.75 skol28 [304, 0] (w:1, o:23, a:1, s:1, b:1),
% 4.32/4.75 skol29 [305, 1] (w:1, o:159, a:1, s:1, b:1),
% 4.32/4.75 skol30 [306, 0] (w:1, o:24, a:1, s:1, b:1),
% 4.32/4.75 skol31 [307, 1] (w:1, o:161, a:1, s:1, b:1),
% 4.32/4.75 skol32 [308, 2] (w:1, o:257, a:1, s:1, b:1),
% 4.32/4.75 skol33 [309, 2] (w:1, o:258, a:1, s:1, b:1),
% 4.32/4.75 skol34 [310, 3] (w:1, o:316, a:1, s:1, b:1),
% 4.32/4.75 skol35 [311, 0] (w:1, o:25, a:1, s:1, b:1),
% 4.32/4.75 skol36 [312, 0] (w:1, o:26, a:1, s:1, b:1),
% 4.32/4.75 skol37 [313, 0] (w:1, o:27, a:1, s:1, b:1),
% 4.32/4.75 skol38 [314, 1] (w:1, o:162, a:1, s:1, b:1),
% 4.32/4.75 skol39 [315, 1] (w:1, o:163, a:1, s:1, b:1),
% 4.32/4.75 skol40 [316, 0] (w:1, o:28, a:1, s:1, b:1),
% 4.32/4.75 skol41 [317, 2] (w:1, o:259, a:1, s:1, b:1),
% 4.32/4.75 skol42 [318, 2] (w:1, o:260, a:1, s:1, b:1),
% 4.32/4.75 skol43 [319, 2] (w:1, o:261, a:1, s:1, b:1),
% 4.32/4.75 skol44 [320, 3] (w:1, o:309, a:1, s:1, b:1),
% 4.32/4.75 skol45 [321, 3] (w:1, o:310, a:1, s:1, b:1),
% 24.13/24.55 skol46 [322, 2] (w:1, o:262, a:1, s:1, b:1),
% 24.13/24.55 skol47 [323, 2] (w:1, o:263, a:1, s:1, b:1).
% 24.13/24.55
% 24.13/24.55
% 24.13/24.55 Starting Search:
% 24.13/24.55
% 24.13/24.55 *** allocated 113905 integers for clauses
% 24.13/24.55 *** allocated 170857 integers for clauses
% 24.13/24.55 Resimplifying inuse:
% 24.13/24.55 Done
% 24.13/24.55
% 24.13/24.55
% 24.13/24.55 Intermediate Status:
% 24.13/24.55 Generated: 2968
% 24.13/24.55 Kept: 2000
% 24.13/24.55 Inuse: 70
% 24.13/24.55 Deleted: 1
% 24.13/24.55 Deletedinuse: 0
% 24.13/24.55
% 24.13/24.55 *** allocated 256285 integers for clauses
% 24.13/24.55 Resimplifying inuse:
% 24.13/24.55 Done
% 24.13/24.55
% 24.13/24.55 *** allocated 170857 integers for termspace/termends
% 24.13/24.55 Resimplifying inuse:
% 24.13/24.55 Done
% 24.13/24.55
% 24.13/24.55 *** allocated 384427 integers for clauses
% 24.13/24.55
% 24.13/24.55 Intermediate Status:
% 24.13/24.55 Generated: 8740
% 24.13/24.55 Kept: 4009
% 24.13/24.55 Inuse: 253
% 24.13/24.55 Deleted: 6
% 24.13/24.55 Deletedinuse: 0
% 24.13/24.55
% 24.13/24.55 Resimplifying inuse:
% 24.13/24.55 Done
% 24.13/24.55
% 24.13/24.55
% 24.13/24.55 Intermediate Status:
% 24.13/24.55 Generated: 13835
% 24.13/24.55 Kept: 6049
% 24.13/24.55 Inuse: 367
% 24.13/24.55 Deleted: 10
% 24.13/24.55 Deletedinuse: 1
% 24.13/24.55
% 24.13/24.55 Resimplifying inuse:
% 24.13/24.55 Done
% 24.13/24.55
% 24.13/24.55 *** allocated 256285 integers for termspace/termends
% 24.13/24.55 *** allocated 576640 integers for clauses
% 24.13/24.55 Resimplifying inuse:
% 24.13/24.55 Done
% 24.13/24.55
% 24.13/24.55
% 24.13/24.55 Intermediate Status:
% 24.13/24.55 Generated: 17211
% 24.13/24.55 Kept: 8086
% 24.13/24.55 Inuse: 406
% 24.13/24.55 Deleted: 11
% 24.13/24.55 Deletedinuse: 1
% 24.13/24.55
% 24.13/24.55 Resimplifying inuse:
% 24.13/24.55 Done
% 24.13/24.55
% 24.13/24.55 Resimplifying inuse:
% 24.13/24.55 Done
% 24.13/24.55
% 24.13/24.55
% 24.13/24.55 Intermediate Status:
% 24.13/24.55 Generated: 21039
% 24.13/24.55 Kept: 10126
% 24.13/24.55 Inuse: 436
% 24.13/24.55 Deleted: 11
% 24.13/24.55 Deletedinuse: 1
% 24.13/24.55
% 24.13/24.55 *** allocated 864960 integers for clauses
% 24.13/24.55 *** allocated 384427 integers for termspace/termends
% 24.13/24.55 Resimplifying inuse:
% 24.13/24.55 Done
% 24.13/24.55
% 24.13/24.55
% 24.13/24.55 Intermediate Status:
% 24.13/24.55 Generated: 27198
% 24.13/24.55 Kept: 12895
% 24.13/24.55 Inuse: 476
% 24.13/24.55 Deleted: 11
% 24.13/24.55 Deletedinuse: 1
% 24.13/24.55
% 24.13/24.55 Resimplifying inuse:
% 24.13/24.55 Done
% 24.13/24.55
% 24.13/24.55 Resimplifying inuse:
% 24.13/24.55 Done
% 24.13/24.55
% 24.13/24.55
% 24.13/24.55 Intermediate Status:
% 24.13/24.55 Generated: 30780
% 24.13/24.55 Kept: 14908
% 24.13/24.55 Inuse: 505
% 24.13/24.55 Deleted: 11
% 24.13/24.55 Deletedinuse: 1
% 24.13/24.55
% 24.13/24.55 Resimplifying inuse:
% 24.13/24.55 Done
% 24.13/24.55
% 24.13/24.55 *** allocated 1297440 integers for clauses
% 24.13/24.55 Resimplifying inuse:
% 24.13/24.55 Done
% 24.13/24.55
% 24.13/24.55
% 24.13/24.55 Intermediate Status:
% 24.13/24.55 Generated: 36266
% 24.13/24.55 Kept: 16914
% 24.13/24.55 Inuse: 534
% 24.13/24.55 Deleted: 13
% 24.13/24.55 Deletedinuse: 1
% 24.13/24.55
% 24.13/24.55 Resimplifying inuse:
% 24.13/24.55 Done
% 24.13/24.55
% 24.13/24.55 *** allocated 576640 integers for termspace/termends
% 24.13/24.55 Resimplifying inuse:
% 24.13/24.55 Done
% 24.13/24.55
% 24.13/24.55
% 24.13/24.55 Intermediate Status:
% 24.13/24.55 Generated: 41026
% 24.13/24.55 Kept: 18941
% 24.13/24.55 Inuse: 595
% 24.13/24.55 Deleted: 14
% 24.13/24.55 Deletedinuse: 1
% 24.13/24.55
% 24.13/24.55 Resimplifying inuse:
% 24.13/24.55 Done
% 24.13/24.55
% 24.13/24.55 Resimplifying clauses:
% 24.13/24.55 Done
% 24.13/24.55
% 24.13/24.55 Resimplifying inuse:
% 24.13/24.55 Done
% 24.13/24.55
% 24.13/24.55
% 24.13/24.55 Intermediate Status:
% 24.13/24.55 Generated: 45426
% 24.13/24.55 Kept: 20958
% 24.13/24.55 Inuse: 653
% 24.13/24.55 Deleted: 261
% 24.13/24.55 Deletedinuse: 1
% 24.13/24.55
% 24.13/24.55 Resimplifying inuse:
% 24.13/24.55 Done
% 24.13/24.55
% 24.13/24.55
% 24.13/24.55 Intermediate Status:
% 24.13/24.55 Generated: 48729
% 24.13/24.55 Kept: 22958
% 24.13/24.55 Inuse: 673
% 24.13/24.55 Deleted: 261
% 24.13/24.55 Deletedinuse: 1
% 24.13/24.55
% 24.13/24.55 Resimplifying inuse:
% 24.13/24.55 Done
% 24.13/24.55
% 24.13/24.55 Resimplifying inuse:
% 24.13/24.55 Done
% 24.13/24.55
% 24.13/24.55 *** allocated 1946160 integers for clauses
% 24.13/24.55
% 24.13/24.55 Intermediate Status:
% 24.13/24.55 Generated: 53812
% 24.13/24.55 Kept: 26008
% 24.13/24.55 Inuse: 713
% 24.13/24.55 Deleted: 261
% 24.13/24.55 Deletedinuse: 1
% 24.13/24.55
% 24.13/24.55 Resimplifying inuse:
% 24.13/24.55 Done
% 24.13/24.55
% 24.13/24.55 Resimplifying inuse:
% 24.13/24.55 Done
% 24.13/24.55
% 24.13/24.55 *** allocated 864960 integers for termspace/termends
% 24.13/24.55
% 24.13/24.55 Intermediate Status:
% 24.13/24.55 Generated: 59835
% 24.13/24.55 Kept: 29758
% 24.13/24.55 Inuse: 743
% 24.13/24.55 Deleted: 261
% 24.13/24.55 Deletedinuse: 1
% 24.13/24.55
% 24.13/24.55 Resimplifying inuse:
% 24.13/24.55 Done
% 24.13/24.55
% 24.13/24.55 Resimplifying inuse:
% 24.13/24.55 Done
% 24.13/24.55
% 24.13/24.55
% 24.13/24.55 Intermediate Status:
% 24.13/24.55 Generated: 65723
% 24.13/24.55 Kept: 33492
% 24.13/24.55 Inuse: 768
% 24.13/24.55 Deleted: 261
% 24.13/24.55 Deletedinuse: 1
% 24.13/24.55
% 24.13/24.55 Resimplifying inuse:
% 24.13/24.55 Done
% 24.13/24.55
% 24.13/24.55 Resimplifying inuse:
% 24.13/24.55 Done
% 24.13/24.55
% 24.13/24.55
% 24.13/24.55 Intermediate Status:
% 24.13/24.55 Generated: 71379
% 24.13/24.55 Kept: 36528
% 24.13/24.55 Inuse: 798
% 24.13/24.55 Deleted: 261
% 24.13/24.55 Deletedinuse: 1
% 24.13/24.55
% 24.13/24.55 Resimplifying inuse:
% 24.13/24.55 Done
% 24.13/24.55
% 24.13/24.55 Resimplifying inuse:
% 24.13/24.55 Done
% 24.13/24.55
% 24.13/24.55
% 24.13/24.55 Intermediate Status:
% 24.13/24.55 Generated: 78411
% 24.13/24.55 Kept: 40819
% 24.13/24.55 Inuse: 823
% 24.13/24.55 Deleted: 261
% 24.13/24.55 Deletedinuse: 1
% 24.13/24.55
% 24.13/24.55 Resimplifying inuse:
% 24.13/24.55 Done
% 24.13/24.55
% 24.13/24.55 Resimplifying clauses:
% 24.13/24.55 Done
% 24.13/24.55
% 24.13/24.55 *** allocated 2919240 integers for clauses
% 24.13/24.55 Resimplifying inuse:
% 24.13/24.55 Done
% 24.13/24.55
% 24.13/24.55
% 24.13/24.55 Intermediate Status:
% 24.13/24.55 Generated: 83661
% 24.13/24.55 Kept: 42844
% 24.13/24.55 Inuse: 857
% 24.13/24.55 Deleted: 377
% 24.13/24.55 Deletedinuse: 2
% 24.13/24.55
% 24.13/24.55 Resimplifying inuse:
% 24.13/24.55 Done
% 24.13/24.55
% 24.13/24.55 *** allocated 1297440 integers for termspace/termends
% 24.13/24.55 Resimplifying inuse:
% 24.13/24.55 Done
% 24.13/24.55
% 24.13/24.55
% 24.13/24.55 Intermediate Status:
% 24.13/24.55 Generated: 89920
% 24.13/24.55 Kept: 46430
% 24.13/24.55 Inuse: 883
% 24.13/24.55 Deleted: 377
% 24.13/24.55 Deletedinuse: 2
% 24.13/24.55
% 24.13/24.55 Resimplifying inuse:
% 24.13/24.55 Done
% 24.13/24.55
% 24.13/24.55 Resimplifying inuse:
% 24.13/24.55 Done
% 24.13/24.55
% 24.13/24.55
% 24.13/24.55 Intermediate Status:
% 24.13/24.55 Generated: 94866
% 24.13/24.55 Kept: 48490
% 24.13/24.55 Inuse: 918
% 24.13/24.55 Deleted: 377
% 24.13/24.55 Deletedinuse: 2
% 24.13/24.55
% 24.13/24.55 Resimplifying inuse:
% 24.13/24.55 Done
% 24.13/24.55
% 24.13/24.55 Resimplifying inuse:
% 24.13/24.55 Done
% 24.13/24.55
% 24.13/24.55
% 24.13/24.55 Intermediate Status:
% 24.13/24.55 Generated: 99457
% 24.13/24.55 Kept: 50507
% 72.31/72.73 Inuse: 949
% 72.31/72.73 Deleted: 377
% 72.31/72.73 Deletedinuse: 2
% 72.31/72.73
% 72.31/72.73 Resimplifying inuse:
% 72.31/72.73 Done
% 72.31/72.73
% 72.31/72.73
% 72.31/72.73 Intermediate Status:
% 72.31/72.73 Generated: 106905
% 72.31/72.73 Kept: 52623
% 72.31/72.73 Inuse: 954
% 72.31/72.73 Deleted: 377
% 72.31/72.73 Deletedinuse: 2
% 72.31/72.73
% 72.31/72.73 Resimplifying inuse:
% 72.31/72.73 Done
% 72.31/72.73
% 72.31/72.73
% 72.31/72.73 Intermediate Status:
% 72.31/72.73 Generated: 112339
% 72.31/72.73 Kept: 55254
% 72.31/72.73 Inuse: 983
% 72.31/72.73 Deleted: 377
% 72.31/72.73 Deletedinuse: 2
% 72.31/72.73
% 72.31/72.73 Resimplifying inuse:
% 72.31/72.73 Done
% 72.31/72.73
% 72.31/72.73
% 72.31/72.73 Intermediate Status:
% 72.31/72.73 Generated: 120808
% 72.31/72.73 Kept: 60712
% 72.31/72.73 Inuse: 1018
% 72.31/72.73 Deleted: 377
% 72.31/72.73 Deletedinuse: 2
% 72.31/72.73
% 72.31/72.73 Resimplifying inuse:
% 72.31/72.73 Done
% 72.31/72.73
% 72.31/72.73 *** allocated 4378860 integers for clauses
% 72.31/72.73
% 72.31/72.73 Intermediate Status:
% 72.31/72.73 Generated: 126435
% 72.31/72.73 Kept: 65303
% 72.31/72.73 Inuse: 1023
% 72.31/72.73 Deleted: 377
% 72.31/72.73 Deletedinuse: 2
% 72.31/72.73
% 72.31/72.73 Resimplifying inuse:
% 72.31/72.73 Done
% 72.31/72.73
% 72.31/72.73 Resimplifying clauses:
% 72.31/72.73 Done
% 72.31/72.73
% 72.31/72.73
% 72.31/72.73 Intermediate Status:
% 72.31/72.73 Generated: 130785
% 72.31/72.73 Kept: 68071
% 72.31/72.73 Inuse: 1038
% 72.31/72.73 Deleted: 2064
% 72.31/72.73 Deletedinuse: 2
% 72.31/72.73
% 72.31/72.73 Resimplifying inuse:
% 72.31/72.73 Done
% 72.31/72.73
% 72.31/72.73 *** allocated 1946160 integers for termspace/termends
% 72.31/72.73 Resimplifying inuse:
% 72.31/72.73 Done
% 72.31/72.73
% 72.31/72.73
% 72.31/72.73 Intermediate Status:
% 72.31/72.73 Generated: 138364
% 72.31/72.73 Kept: 70092
% 72.31/72.73 Inuse: 1099
% 72.31/72.73 Deleted: 2066
% 72.31/72.73 Deletedinuse: 4
% 72.31/72.73
% 72.31/72.73 Resimplifying inuse:
% 72.31/72.73 Done
% 72.31/72.73
% 72.31/72.73 Resimplifying inuse:
% 72.31/72.73 Done
% 72.31/72.73
% 72.31/72.73
% 72.31/72.73 Intermediate Status:
% 72.31/72.73 Generated: 144549
% 72.31/72.73 Kept: 72172
% 72.31/72.73 Inuse: 1143
% 72.31/72.73 Deleted: 2066
% 72.31/72.73 Deletedinuse: 4
% 72.31/72.73
% 72.31/72.73 Resimplifying inuse:
% 72.31/72.73 Done
% 72.31/72.73
% 72.31/72.73 Resimplifying inuse:
% 72.31/72.73 Done
% 72.31/72.73
% 72.31/72.73
% 72.31/72.73 Intermediate Status:
% 72.31/72.73 Generated: 154474
% 72.31/72.73 Kept: 74482
% 72.31/72.73 Inuse: 1158
% 72.31/72.73 Deleted: 2066
% 72.31/72.73 Deletedinuse: 4
% 72.31/72.73
% 72.31/72.73 Resimplifying inuse:
% 72.31/72.73 Done
% 72.31/72.73
% 72.31/72.73 Resimplifying inuse:
% 72.31/72.73 Done
% 72.31/72.73
% 72.31/72.73
% 72.31/72.73 Intermediate Status:
% 72.31/72.73 Generated: 164381
% 72.31/72.73 Kept: 79044
% 72.31/72.73 Inuse: 1198
% 72.31/72.73 Deleted: 2066
% 72.31/72.73 Deletedinuse: 4
% 72.31/72.73
% 72.31/72.73 Resimplifying inuse:
% 72.31/72.73 Done
% 72.31/72.73
% 72.31/72.73 Resimplifying inuse:
% 72.31/72.73 Done
% 72.31/72.73
% 72.31/72.73
% 72.31/72.73 Intermediate Status:
% 72.31/72.73 Generated: 176042
% 72.31/72.73 Kept: 82212
% 72.31/72.73 Inuse: 1228
% 72.31/72.73 Deleted: 2066
% 72.31/72.73 Deletedinuse: 4
% 72.31/72.73
% 72.31/72.73 Resimplifying inuse:
% 72.31/72.73 Done
% 72.31/72.73
% 72.31/72.73 Resimplifying inuse:
% 72.31/72.73 Done
% 72.31/72.73
% 72.31/72.73
% 72.31/72.73 Intermediate Status:
% 72.31/72.73 Generated: 183133
% 72.31/72.73 Kept: 84258
% 72.31/72.73 Inuse: 1258
% 72.31/72.73 Deleted: 2066
% 72.31/72.73 Deletedinuse: 4
% 72.31/72.73
% 72.31/72.73 Resimplifying inuse:
% 72.31/72.73 Done
% 72.31/72.73
% 72.31/72.73 Resimplifying inuse:
% 72.31/72.73 Done
% 72.31/72.73
% 72.31/72.73 Resimplifying clauses:
% 72.31/72.73 Done
% 72.31/72.73
% 72.31/72.73
% 72.31/72.73 Intermediate Status:
% 72.31/72.73 Generated: 198550
% 72.31/72.73 Kept: 88103
% 72.31/72.73 Inuse: 1283
% 72.31/72.73 Deleted: 2624
% 72.31/72.73 Deletedinuse: 4
% 72.31/72.73
% 72.31/72.73 Resimplifying inuse:
% 72.31/72.73 Done
% 72.31/72.73
% 72.31/72.73 Resimplifying inuse:
% 72.31/72.73 Done
% 72.31/72.73
% 72.31/72.73
% 72.31/72.73 Intermediate Status:
% 72.31/72.73 Generated: 210794
% 72.31/72.73 Kept: 92039
% 72.31/72.73 Inuse: 1298
% 72.31/72.73 Deleted: 2625
% 72.31/72.73 Deletedinuse: 5
% 72.31/72.73
% 72.31/72.73 Resimplifying inuse:
% 72.31/72.73 Done
% 72.31/72.73
% 72.31/72.73
% 72.31/72.73 Intermediate Status:
% 72.31/72.73 Generated: 227970
% 72.31/72.73 Kept: 95398
% 72.31/72.73 Inuse: 1308
% 72.31/72.73 Deleted: 2625
% 72.31/72.73 Deletedinuse: 5
% 72.31/72.73
% 72.31/72.73 Resimplifying inuse:
% 72.31/72.73 Done
% 72.31/72.73
% 72.31/72.73 Resimplifying inuse:
% 72.31/72.73 Done
% 72.31/72.73
% 72.31/72.73
% 72.31/72.73 Intermediate Status:
% 72.31/72.73 Generated: 234225
% 72.31/72.73 Kept: 97519
% 72.31/72.73 Inuse: 1337
% 72.31/72.73 Deleted: 2627
% 72.31/72.73 Deletedinuse: 6
% 72.31/72.73
% 72.31/72.73 Resimplifying inuse:
% 72.31/72.73 Done
% 72.31/72.73
% 72.31/72.73 Resimplifying inuse:
% 72.31/72.73 Done
% 72.31/72.73
% 72.31/72.73 *** allocated 2919240 integers for termspace/termends
% 72.31/72.73 *** allocated 6568290 integers for clauses
% 72.31/72.73
% 72.31/72.73 Intermediate Status:
% 72.31/72.73 Generated: 254874
% 72.31/72.73 Kept: 101751
% 72.31/72.73 Inuse: 1351
% 72.31/72.73 Deleted: 2628
% 72.31/72.73 Deletedinuse: 6
% 72.31/72.73
% 72.31/72.73 Resimplifying inuse:
% 72.31/72.73 Done
% 72.31/72.73
% 72.31/72.73 Resimplifying inuse:
% 72.31/72.73 Done
% 72.31/72.73
% 72.31/72.73
% 72.31/72.73 Intermediate Status:
% 72.31/72.73 Generated: 273509
% 72.31/72.73 Kept: 105293
% 72.31/72.73 Inuse: 1385
% 72.31/72.73 Deleted: 2630
% 72.31/72.73 Deletedinuse: 7
% 72.31/72.73
% 72.31/72.73 Resimplifying inuse:
% 72.31/72.73 Done
% 72.31/72.73
% 72.31/72.73 Resimplifying clauses:
% 72.31/72.73 Done
% 72.31/72.73
% 72.31/72.73 Resimplifying inuse:
% 72.31/72.73 Done
% 72.31/72.73
% 72.31/72.73
% 72.31/72.73 Intermediate Status:
% 72.31/72.73 Generated: 281879
% 72.31/72.73 Kept: 107314
% 72.31/72.73 Inuse: 1421
% 72.31/72.73 Deleted: 2937
% 72.31/72.73 Deletedinuse: 10
% 72.31/72.73
% 72.31/72.73 Resimplifying inuse:
% 72.31/72.73 Done
% 72.31/72.73
% 72.31/72.73 Resimplifying inuse:
% 72.31/72.73 Done
% 72.31/72.73
% 72.31/72.73
% 72.31/72.73 Intermediate Status:
% 72.31/72.73 Generated: 291230
% 72.31/72.73 Kept: 109340
% 72.31/72.73 Inuse: 1462
% 72.31/72.73 Deleted: 2940
% 72.31/72.73 Deletedinuse: 10
% 72.31/72.73
% 72.31/72.73 Resimplifying inuse:
% 72.31/72.73 Done
% 72.31/72.73
% 72.31/72.73 Resimplifying inuse:
% 72.31/72.73 Done
% 72.31/72.73
% 72.31/72.73
% 72.31/72.73 Intermediate Status:
% 72.31/72.73 Generated: 298008
% 72.31/72.73 Kept: 111367
% 72.31/72.73 Inuse: 1488
% 72.31/72.73 Deleted: 2943
% 72.31/72.73 Deletedinuse: 10
% 72.31/72.73
% 72.31/72.73 Resimplifying inuse:
% 72.31/72.73 Done
% 72.31/72.73
% 72.31/72.73 Resimplifying inuse:
% 72.31/72.73 Done
% 72.31/72.73
% 72.31/72.73
% 72.31/72.73 Intermediate Status:
% 72.31/72.73 Generated: 304442
% 72.31/72.73 Kept: 113515
% 72.31/72.73 Inuse: 1507
% 72.31/72.73 Deleted: 2949
% 72.31/72.73 Deletedinuse: 16
% 72.31/72.73
% 72.31/72.73 Resimplifying inuse:
% 72.31/72.73 Done
% 72.31/72.73
% 72.31/72.73 Resimplifying inuse:
% 72.31/72.73 Done
% 72.31/72.73
% 72.31/72.73
% 72.31/72.73 Intermediate Status:
% 72.31/72.73 Generated: 310454
% 72.31/72.73 Kept: 115888
% 72.31/72.73 Inuse: 1527
% 72.31/72.73 Deleted: 2949
% 72.31/72.73 Deletedinuse: 16
% 72.31/72.73
% 72.31/72.73 Resimplifying inuse:
% 72.31/72.73 Done
% 72.31/72.73
% 72.31/72.73 Resimplifying inuse:
% 72.31/72.73 Done
% 72.31/72.73
% 72.31/72.73
% 72.31/72.73 Intermediate Status:
% 72.31/72.73 Generated: 317870
% 72.31/72.73 Kept: 117907
% 72.31/72.73 Inuse: 1560
% 204.33/204.77 Deleted: 2949
% 204.33/204.77 Deletedinuse: 16
% 204.33/204.77
% 204.33/204.77 Resimplifying inuse:
% 204.33/204.77 Done
% 204.33/204.77
% 204.33/204.77 Resimplifying inuse:
% 204.33/204.77 Done
% 204.33/204.77
% 204.33/204.77
% 204.33/204.77 Intermediate Status:
% 204.33/204.77 Generated: 326655
% 204.33/204.77 Kept: 119912
% 204.33/204.77 Inuse: 1596
% 204.33/204.77 Deleted: 2949
% 204.33/204.77 Deletedinuse: 16
% 204.33/204.77
% 204.33/204.77 Resimplifying inuse:
% 204.33/204.77 Done
% 204.33/204.77
% 204.33/204.77 Resimplifying inuse:
% 204.33/204.77 Done
% 204.33/204.77
% 204.33/204.77
% 204.33/204.77 Intermediate Status:
% 204.33/204.77 Generated: 333767
% 204.33/204.77 Kept: 121925
% 204.33/204.77 Inuse: 1632
% 204.33/204.77 Deleted: 2949
% 204.33/204.77 Deletedinuse: 16
% 204.33/204.77
% 204.33/204.77 Resimplifying inuse:
% 204.33/204.77 Done
% 204.33/204.77
% 204.33/204.77 Resimplifying inuse:
% 204.33/204.77 Done
% 204.33/204.77
% 204.33/204.77
% 204.33/204.77 Intermediate Status:
% 204.33/204.77 Generated: 340762
% 204.33/204.77 Kept: 123964
% 204.33/204.77 Inuse: 1672
% 204.33/204.77 Deleted: 2949
% 204.33/204.77 Deletedinuse: 16
% 204.33/204.77
% 204.33/204.77 Resimplifying inuse:
% 204.33/204.77 Done
% 204.33/204.77
% 204.33/204.77 Resimplifying inuse:
% 204.33/204.77 Done
% 204.33/204.77
% 204.33/204.77 Resimplifying clauses:
% 204.33/204.77 Done
% 204.33/204.77
% 204.33/204.77
% 204.33/204.77 Intermediate Status:
% 204.33/204.77 Generated: 350321
% 204.33/204.77 Kept: 126049
% 204.33/204.77 Inuse: 1712
% 204.33/204.77 Deleted: 6011
% 204.33/204.77 Deletedinuse: 16
% 204.33/204.77
% 204.33/204.77 Resimplifying inuse:
% 204.33/204.77 Done
% 204.33/204.77
% 204.33/204.77 Resimplifying inuse:
% 204.33/204.77 Done
% 204.33/204.77
% 204.33/204.77
% 204.33/204.77 Intermediate Status:
% 204.33/204.77 Generated: 359201
% 204.33/204.77 Kept: 128083
% 204.33/204.77 Inuse: 1748
% 204.33/204.77 Deleted: 6026
% 204.33/204.77 Deletedinuse: 31
% 204.33/204.77
% 204.33/204.77 Resimplifying inuse:
% 204.33/204.77 Done
% 204.33/204.77
% 204.33/204.77
% 204.33/204.77 Intermediate Status:
% 204.33/204.77 Generated: 374606
% 204.33/204.77 Kept: 135782
% 204.33/204.77 Inuse: 1772
% 204.33/204.77 Deleted: 6026
% 204.33/204.77 Deletedinuse: 31
% 204.33/204.77
% 204.33/204.77 Resimplifying inuse:
% 204.33/204.77 Done
% 204.33/204.77
% 204.33/204.77 Resimplifying inuse:
% 204.33/204.77 Done
% 204.33/204.77
% 204.33/204.77
% 204.33/204.77 Intermediate Status:
% 204.33/204.77 Generated: 385497
% 204.33/204.77 Kept: 140867
% 204.33/204.77 Inuse: 1797
% 204.33/204.77 Deleted: 6026
% 204.33/204.77 Deletedinuse: 31
% 204.33/204.77
% 204.33/204.77 Resimplifying inuse:
% 204.33/204.77 Done
% 204.33/204.77
% 204.33/204.77
% 204.33/204.77 Intermediate Status:
% 204.33/204.77 Generated: 391631
% 204.33/204.77 Kept: 144686
% 204.33/204.77 Inuse: 1802
% 204.33/204.77 Deleted: 6030
% 204.33/204.77 Deletedinuse: 35
% 204.33/204.77
% 204.33/204.77 Resimplifying inuse:
% 204.33/204.77 Done
% 204.33/204.77
% 204.33/204.77 *** allocated 4378860 integers for termspace/termends
% 204.33/204.77
% 204.33/204.77 Intermediate Status:
% 204.33/204.77 Generated: 397926
% 204.33/204.77 Kept: 148576
% 204.33/204.77 Inuse: 1807
% 204.33/204.77 Deleted: 6030
% 204.33/204.77 Deletedinuse: 35
% 204.33/204.77
% 204.33/204.77 Resimplifying inuse:
% 204.33/204.77 Done
% 204.33/204.77
% 204.33/204.77 Resimplifying clauses:
% 204.33/204.77 Done
% 204.33/204.77
% 204.33/204.77
% 204.33/204.77 Intermediate Status:
% 204.33/204.77 Generated: 407065
% 204.33/204.77 Kept: 153139
% 204.33/204.77 Inuse: 1822
% 204.33/204.77 Deleted: 6547
% 204.33/204.77 Deletedinuse: 35
% 204.33/204.77
% 204.33/204.77 Resimplifying inuse:
% 204.33/204.77 Done
% 204.33/204.77
% 204.33/204.77 Resimplifying inuse:
% 204.33/204.77 Done
% 204.33/204.77
% 204.33/204.77 *** allocated 9852435 integers for clauses
% 204.33/204.77
% 204.33/204.77 Intermediate Status:
% 204.33/204.77 Generated: 421224
% 204.33/204.77 Kept: 155631
% 204.33/204.77 Inuse: 1842
% 204.33/204.77 Deleted: 6547
% 204.33/204.77 Deletedinuse: 35
% 204.33/204.77
% 204.33/204.77 Resimplifying inuse:
% 204.33/204.77 Done
% 204.33/204.77
% 204.33/204.77 Resimplifying inuse:
% 204.33/204.77 Done
% 204.33/204.77
% 204.33/204.77
% 204.33/204.77 Intermediate Status:
% 204.33/204.77 Generated: 427635
% 204.33/204.77 Kept: 157656
% 204.33/204.77 Inuse: 1873
% 204.33/204.77 Deleted: 6547
% 204.33/204.77 Deletedinuse: 35
% 204.33/204.77
% 204.33/204.77 Resimplifying inuse:
% 204.33/204.77 Done
% 204.33/204.77
% 204.33/204.77 Resimplifying inuse:
% 204.33/204.77 Done
% 204.33/204.77
% 204.33/204.77
% 204.33/204.77 Intermediate Status:
% 204.33/204.77 Generated: 433343
% 204.33/204.77 Kept: 159694
% 204.33/204.77 Inuse: 1898
% 204.33/204.77 Deleted: 6547
% 204.33/204.77 Deletedinuse: 35
% 204.33/204.77
% 204.33/204.77 Resimplifying inuse:
% 204.33/204.77 Done
% 204.33/204.77
% 204.33/204.77 Resimplifying inuse:
% 204.33/204.77 Done
% 204.33/204.77
% 204.33/204.77
% 204.33/204.77 Intermediate Status:
% 204.33/204.77 Generated: 452485
% 204.33/204.77 Kept: 164011
% 204.33/204.77 Inuse: 1927
% 204.33/204.77 Deleted: 6547
% 204.33/204.77 Deletedinuse: 35
% 204.33/204.77
% 204.33/204.77 Resimplifying inuse:
% 204.33/204.77 Done
% 204.33/204.77
% 204.33/204.77 Resimplifying inuse:
% 204.33/204.77 Done
% 204.33/204.77
% 204.33/204.77
% 204.33/204.77 Intermediate Status:
% 204.33/204.77 Generated: 459673
% 204.33/204.77 Kept: 166045
% 204.33/204.77 Inuse: 1949
% 204.33/204.77 Deleted: 6547
% 204.33/204.77 Deletedinuse: 35
% 204.33/204.77
% 204.33/204.77 Resimplifying inuse:
% 204.33/204.77 Done
% 204.33/204.77
% 204.33/204.77 Resimplifying inuse:
% 204.33/204.77 Done
% 204.33/204.77
% 204.33/204.77
% 204.33/204.77 Intermediate Status:
% 204.33/204.77 Generated: 466159
% 204.33/204.77 Kept: 168184
% 204.33/204.77 Inuse: 1967
% 204.33/204.77 Deleted: 6547
% 204.33/204.77 Deletedinuse: 35
% 204.33/204.77
% 204.33/204.77 Resimplifying inuse:
% 204.33/204.77 Done
% 204.33/204.77
% 204.33/204.77 Resimplifying clauses:
% 204.33/204.77 Done
% 204.33/204.77
% 204.33/204.77 Resimplifying inuse:
% 204.33/204.77 Done
% 204.33/204.77
% 204.33/204.77
% 204.33/204.77 Intermediate Status:
% 204.33/204.77 Generated: 471945
% 204.33/204.77 Kept: 170282
% 204.33/204.77 Inuse: 1988
% 204.33/204.77 Deleted: 6805
% 204.33/204.77 Deletedinuse: 35
% 204.33/204.77
% 204.33/204.77 Resimplifying inuse:
% 204.33/204.77 Done
% 204.33/204.77
% 204.33/204.77 Resimplifying inuse:
% 204.33/204.77 Done
% 204.33/204.77
% 204.33/204.77
% 204.33/204.77 Intermediate Status:
% 204.33/204.77 Generated: 477316
% 204.33/204.77 Kept: 172292
% 204.33/204.77 Inuse: 2002
% 204.33/204.77 Deleted: 6809
% 204.33/204.77 Deletedinuse: 39
% 204.33/204.77
% 204.33/204.77 Resimplifying inuse:
% 204.33/204.77 Done
% 204.33/204.77
% 204.33/204.77 Resimplifying inuse:
% 204.33/204.77 Done
% 204.33/204.77
% 204.33/204.77
% 204.33/204.77 Intermediate Status:
% 204.33/204.77 Generated: 483147
% 204.33/204.77 Kept: 174335
% 204.33/204.77 Inuse: 2012
% 204.33/204.77 Deleted: 6811
% 204.33/204.77 Deletedinuse: 40
% 204.33/204.77
% 204.33/204.77 Resimplifying inuse:
% 204.33/204.77 Done
% 204.33/204.77
% 204.33/204.77 Resimplifying inuse:
% 204.33/204.77 Done
% 204.33/204.77
% 204.33/204.77
% 204.33/204.77 Intermediate Status:
% 204.33/204.77 Generated: 489660
% 204.33/204.77 Kept: 176510
% 204.33/204.77 Inuse: 2026
% 204.33/204.77 Deleted: 6811
% 204.33/204.77 Deletedinuse: 40
% 204.33/204.77
% 204.33/204.77 Resimplifying inuse:
% 204.33/204.77 Done
% 204.33/204.77
% 204.33/204.77
% 204.33/204.77 Intermediate Status:
% 204.33/204.77 Generated: 507099
% 204.33/204.77 Kept: 185777
% 204.33/204.77 Inuse: 2041
% 204.33/204.77 Deleted: 6812
% 204.33/204.77 Deletedinuse: 41
% 204.33/204.77
% 204.33/204.77 Resimplifying inuse:
% 204.33/204.77 Done
% 204.33/204.77
% 204.33/204.77 Resimplifying inuse:
% 204.33/204.77 Done
% 204.33/204.77
% 204.33/204.77
% 204.33/204.77 Intermediate Status:
% 204.33/204.77 Generated: 513073
% 204.33/204.77 Kept: 187823
% 204.33/204.77 Inuse: 2065
% 204.33/204.77 Deleted: 6813
% 204.33/204.77 Deletedinuse: 41
% 204.33/204.77
% 204.33/204.77 Resimplifying inuse:
% 204.33/204.77 Done
% 204.33/204.77
% 204.33/204.77
% 204.33/204.77 Intermediate Status:
% 204.33/204.77 Generated: 521074
% 204.33/204.77 Kept: 192711
% 204.33/204.77 Inuse: 2070
% 204.33/204.77 Deleted: 6813
% 204.33/204.77 Deletedinuse: 41
% 204.33/204.77
% 204.33/204.77 Resimplifying inuse:
% 204.33/204.77 DoneCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------