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)
%------------------------------------------------------------------------------